Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,2,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(0.343356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 14.1 | ||
Character | \(\chi\) | \(=\) | 43.14 |
Dual form | 43.2.g.a.40.1 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{10}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.05399 | + | 0.989151i | −1.45239 | + | 0.699435i | −0.983009 | − | 0.183559i | \(-0.941238\pi\) |
−0.469383 | + | 0.882994i | \(0.655524\pi\) | |||||||
\(3\) | −0.239882 | − | 3.20100i | −0.138496 | − | 1.84810i | −0.444148 | − | 0.895954i | \(-0.646493\pi\) |
0.305652 | − | 0.952143i | \(-0.401126\pi\) | |||||||
\(4\) | 1.99349 | − | 2.49975i | 0.996743 | − | 1.24988i | ||||
\(5\) | −0.131558 | + | 0.0405802i | −0.0588344 | + | 0.0181480i | −0.324033 | − | 0.946046i | \(-0.605039\pi\) |
0.265198 | + | 0.964194i | \(0.414563\pi\) | |||||||
\(6\) | 3.65898 | + | 6.33755i | 1.49377 | + | 2.58729i | ||||
\(7\) | 0.934721 | − | 1.61898i | 0.353291 | − | 0.611919i | −0.633533 | − | 0.773716i | \(-0.718396\pi\) |
0.986824 | + | 0.161797i | \(0.0517291\pi\) | |||||||
\(8\) | −0.607386 | + | 2.66113i | −0.214743 | + | 0.940852i | ||||
\(9\) | −7.22235 | + | 1.08859i | −2.40745 | + | 0.362865i | ||||
\(10\) | 0.230079 | − | 0.213482i | 0.0727573 | − | 0.0675089i | ||||
\(11\) | 1.63643 | + | 2.05201i | 0.493401 | + | 0.618706i | 0.964727 | − | 0.263254i | \(-0.0847957\pi\) |
−0.471325 | + | 0.881959i | \(0.656224\pi\) | |||||||
\(12\) | −8.47991 | − | 5.78150i | −2.44794 | − | 1.66898i | ||||
\(13\) | 1.27950 | + | 1.18720i | 0.354869 | + | 0.329270i | 0.837382 | − | 0.546619i | \(-0.184085\pi\) |
−0.482513 | + | 0.875889i | \(0.660276\pi\) | |||||||
\(14\) | −0.318491 | + | 4.24996i | −0.0851202 | + | 1.13585i | ||||
\(15\) | 0.161455 | + | 0.411382i | 0.0416876 | + | 0.106218i | ||||
\(16\) | 0.0382407 | + | 0.167543i | 0.00956018 | + | 0.0418859i | ||||
\(17\) | 1.45431 | + | 0.448596i | 0.352723 | + | 0.108801i | 0.466053 | − | 0.884757i | \(-0.345676\pi\) |
−0.113330 | + | 0.993557i | \(0.536152\pi\) | |||||||
\(18\) | 13.7579 | − | 9.37996i | 3.24276 | − | 2.21088i | ||||
\(19\) | 4.83787 | + | 0.729192i | 1.10988 | + | 0.167288i | 0.678300 | − | 0.734785i | \(-0.262717\pi\) |
0.431584 | + | 0.902073i | \(0.357955\pi\) | |||||||
\(20\) | −0.160818 | + | 0.409758i | −0.0359600 | + | 0.0916247i | ||||
\(21\) | −5.40659 | − | 2.60368i | −1.17981 | − | 0.568169i | ||||
\(22\) | −5.39096 | − | 2.59615i | −1.14936 | − | 0.553501i | ||||
\(23\) | 1.59785 | − | 4.07127i | 0.333176 | − | 0.848918i | −0.661881 | − | 0.749609i | \(-0.730242\pi\) |
0.995057 | − | 0.0993088i | \(-0.0316632\pi\) | |||||||
\(24\) | 8.66398 | + | 1.30588i | 1.76853 | + | 0.266562i | ||||
\(25\) | −4.11553 | + | 2.80592i | −0.823107 | + | 0.561185i | ||||
\(26\) | −3.80240 | − | 1.17288i | −0.745711 | − | 0.230022i | ||||
\(27\) | 3.07424 | + | 13.4691i | 0.591637 | + | 2.59213i | ||||
\(28\) | −2.18371 | − | 5.56400i | −0.412682 | − | 1.05150i | ||||
\(29\) | −0.00236255 | + | 0.0315260i | −0.000438715 | + | 0.00585424i | −0.997419 | − | 0.0718027i | \(-0.977125\pi\) |
0.996980 | + | 0.0776569i | \(0.0247439\pi\) | |||||||
\(30\) | −0.738546 | − | 0.685271i | −0.134840 | − | 0.125113i | ||||
\(31\) | −2.33987 | − | 1.59530i | −0.420253 | − | 0.286524i | 0.334672 | − | 0.942335i | \(-0.391374\pi\) |
−0.754925 | + | 0.655811i | \(0.772327\pi\) | |||||||
\(32\) | −3.64799 | − | 4.57443i | −0.644879 | − | 0.808653i | ||||
\(33\) | 6.17594 | − | 5.73044i | 1.07509 | − | 0.997541i | ||||
\(34\) | −3.43088 | + | 0.517122i | −0.588391 | + | 0.0886856i | ||||
\(35\) | −0.0572711 | + | 0.250921i | −0.00968058 | + | 0.0424134i | ||||
\(36\) | −11.6764 | + | 20.2242i | −1.94607 | + | 3.37070i | ||||
\(37\) | −0.00465496 | − | 0.00806262i | −0.000765270 | − | 0.00132549i | 0.865643 | − | 0.500663i | \(-0.166910\pi\) |
−0.866408 | + | 0.499337i | \(0.833577\pi\) | |||||||
\(38\) | −10.6582 | + | 3.28763i | −1.72899 | + | 0.533324i | ||||
\(39\) | 3.49330 | − | 4.38045i | 0.559375 | − | 0.701434i | ||||
\(40\) | −0.0280829 | − | 0.374740i | −0.00444030 | − | 0.0592516i | ||||
\(41\) | 7.49687 | − | 3.61030i | 1.17081 | − | 0.563834i | 0.255592 | − | 0.966785i | \(-0.417730\pi\) |
0.915222 | + | 0.402951i | \(0.132015\pi\) | |||||||
\(42\) | 13.6805 | 2.11095 | ||||||||
\(43\) | −5.74000 | + | 3.17056i | −0.875341 | + | 0.483506i | ||||
\(44\) | 8.39173 | 1.26510 | ||||||||
\(45\) | 0.905981 | − | 0.436297i | 0.135056 | − | 0.0650394i | ||||
\(46\) | 0.745115 | + | 9.94287i | 0.109861 | + | 1.46600i | ||||
\(47\) | −3.50782 | + | 4.39867i | −0.511668 | + | 0.641611i | −0.968817 | − | 0.247779i | \(-0.920299\pi\) |
0.457149 | + | 0.889390i | \(0.348871\pi\) | |||||||
\(48\) | 0.527133 | − | 0.162599i | 0.0760851 | − | 0.0234691i | ||||
\(49\) | 1.75259 | + | 3.03558i | 0.250370 | + | 0.433654i | ||||
\(50\) | 5.67779 | − | 9.83423i | 0.802961 | − | 1.39077i | ||||
\(51\) | 1.08709 | − | 4.76286i | 0.152223 | − | 0.666934i | ||||
\(52\) | 5.51837 | − | 0.831760i | 0.765260 | − | 0.115344i | ||||
\(53\) | −5.67072 | + | 5.26166i | −0.778934 | + | 0.722745i | −0.965700 | − | 0.259659i | \(-0.916390\pi\) |
0.186766 | + | 0.982404i | \(0.440199\pi\) | |||||||
\(54\) | −19.6374 | − | 24.6246i | −2.67232 | − | 3.35098i | ||||
\(55\) | −0.298556 | − | 0.203552i | −0.0402572 | − | 0.0274469i | ||||
\(56\) | 3.74059 | + | 3.47076i | 0.499858 | + | 0.463800i | ||||
\(57\) | 1.17362 | − | 15.6609i | 0.155450 | − | 2.07434i | ||||
\(58\) | −0.0263313 | − | 0.0670912i | −0.00345747 | − | 0.00880950i | ||||
\(59\) | 0.483369 | + | 2.11778i | 0.0629293 | + | 0.275711i | 0.996597 | − | 0.0824294i | \(-0.0262679\pi\) |
−0.933668 | + | 0.358141i | \(0.883411\pi\) | |||||||
\(60\) | 1.35021 | + | 0.416485i | 0.174312 | + | 0.0537680i | ||||
\(61\) | −10.0335 | + | 6.84074i | −1.28466 | + | 0.875867i | −0.996652 | − | 0.0817604i | \(-0.973946\pi\) |
−0.288009 | + | 0.957628i | \(0.592993\pi\) | |||||||
\(62\) | 6.38407 | + | 0.962243i | 0.810777 | + | 0.122205i | ||||
\(63\) | −4.98847 | + | 12.7104i | −0.628488 | + | 1.60136i | ||||
\(64\) | 11.7081 | + | 5.63831i | 1.46351 | + | 0.704789i | ||||
\(65\) | −0.216505 | − | 0.104263i | −0.0268541 | − | 0.0129322i | ||||
\(66\) | −7.01708 | + | 17.8792i | −0.863742 | + | 2.20078i | ||||
\(67\) | 7.65319 | + | 1.15353i | 0.934985 | + | 0.140926i | 0.598826 | − | 0.800879i | \(-0.295634\pi\) |
0.336159 | + | 0.941805i | \(0.390872\pi\) | |||||||
\(68\) | 4.02053 | − | 2.74115i | 0.487561 | − | 0.332414i | ||||
\(69\) | −13.4154 | − | 4.13811i | −1.61503 | − | 0.498169i | ||||
\(70\) | −0.130564 | − | 0.572040i | −0.0156054 | − | 0.0683718i | ||||
\(71\) | −4.78843 | − | 12.2007i | −0.568283 | − | 1.44796i | −0.869273 | − | 0.494333i | \(-0.835412\pi\) |
0.300990 | − | 0.953627i | \(-0.402683\pi\) | |||||||
\(72\) | 1.48986 | − | 19.8808i | 0.175582 | − | 2.34298i | ||||
\(73\) | −3.48792 | − | 3.23631i | −0.408230 | − | 0.378782i | 0.449159 | − | 0.893452i | \(-0.351724\pi\) |
−0.857388 | + | 0.514670i | \(0.827914\pi\) | |||||||
\(74\) | 0.0175364 | + | 0.0119561i | 0.00203857 | + | 0.00138987i | ||||
\(75\) | 9.96899 | + | 12.5007i | 1.15112 | + | 1.44346i | ||||
\(76\) | 11.4670 | − | 10.6399i | 1.31536 | − | 1.22047i | ||||
\(77\) | 4.85178 | − | 0.731289i | 0.552912 | − | 0.0833381i | ||||
\(78\) | −2.84227 | + | 12.4528i | −0.321824 | + | 1.41000i | ||||
\(79\) | 6.00370 | − | 10.3987i | 0.675469 | − | 1.16995i | −0.300862 | − | 0.953668i | \(-0.597274\pi\) |
0.976331 | − | 0.216279i | \(-0.0693922\pi\) | |||||||
\(80\) | −0.0118298 | − | 0.0204898i | −0.00132261 | − | 0.00229083i | ||||
\(81\) | 21.4388 | − | 6.61301i | 2.38209 | − | 0.734779i | ||||
\(82\) | −11.8274 | + | 14.8311i | −1.30612 | + | 1.63782i | ||||
\(83\) | 0.321498 | + | 4.29009i | 0.0352890 | + | 0.470899i | 0.986654 | + | 0.162832i | \(0.0520629\pi\) |
−0.951365 | + | 0.308067i | \(0.900318\pi\) | |||||||
\(84\) | −17.2865 | + | 8.32474i | −1.88611 | + | 0.908304i | ||||
\(85\) | −0.209530 | −0.0227267 | ||||||||
\(86\) | 8.65375 | − | 12.1900i | 0.933157 | − | 1.31448i | ||||
\(87\) | 0.101482 | 0.0108800 | ||||||||
\(88\) | −6.45462 | + | 3.10838i | −0.688065 | + | 0.331355i | ||||
\(89\) | 0.574898 | + | 7.67148i | 0.0609390 | + | 0.813175i | 0.941020 | + | 0.338351i | \(0.109869\pi\) |
−0.880081 | + | 0.474824i | \(0.842512\pi\) | |||||||
\(90\) | −1.42931 | + | 1.79230i | −0.150663 | + | 0.188925i | ||||
\(91\) | 3.11803 | − | 0.961785i | 0.326859 | − | 0.100822i | ||||
\(92\) | −6.99186 | − | 12.1103i | −0.728952 | − | 1.26258i | ||||
\(93\) | −4.54525 | + | 7.87260i | −0.471321 | + | 0.816351i | ||||
\(94\) | 2.85409 | − | 12.5046i | 0.294377 | − | 1.28975i | ||||
\(95\) | −0.666050 | + | 0.100391i | −0.0683353 | + | 0.0102999i | ||||
\(96\) | −13.7677 | + | 12.7745i | −1.40516 | + | 1.30379i | ||||
\(97\) | 1.00469 | + | 1.25984i | 0.102011 | + | 0.127918i | 0.830216 | − | 0.557441i | \(-0.188217\pi\) |
−0.728206 | + | 0.685359i | \(0.759645\pi\) | |||||||
\(98\) | −6.60246 | − | 4.50148i | −0.666949 | − | 0.454718i | ||||
\(99\) | −14.0527 | − | 13.0390i | −1.41235 | − | 1.31046i | ||||
\(100\) | −1.19015 | + | 15.8814i | −0.119015 | + | 1.58814i | ||||
\(101\) | 5.50384 | + | 14.0235i | 0.547652 | + | 1.39539i | 0.890060 | + | 0.455843i | \(0.150662\pi\) |
−0.342408 | + | 0.939551i | \(0.611242\pi\) | |||||||
\(102\) | 2.47831 | + | 10.8582i | 0.245389 | + | 1.07512i | ||||
\(103\) | −14.0591 | − | 4.33665i | −1.38528 | − | 0.427303i | −0.489580 | − | 0.871958i | \(-0.662850\pi\) |
−0.895702 | + | 0.444655i | \(0.853326\pi\) | |||||||
\(104\) | −3.93644 | + | 2.68382i | −0.386000 | + | 0.263170i | ||||
\(105\) | 0.816936 | + | 0.123133i | 0.0797248 | + | 0.0120166i | ||||
\(106\) | 6.44305 | − | 16.4166i | 0.625804 | − | 1.59452i | ||||
\(107\) | −3.08455 | − | 1.48544i | −0.298194 | − | 0.143603i | 0.278804 | − | 0.960348i | \(-0.410062\pi\) |
−0.576999 | + | 0.816745i | \(0.695776\pi\) | |||||||
\(108\) | 39.7979 | + | 19.1657i | 3.82956 | + | 1.84422i | ||||
\(109\) | 0.984049 | − | 2.50732i | 0.0942548 | − | 0.240157i | −0.875969 | − | 0.482367i | \(-0.839777\pi\) |
0.970224 | + | 0.242210i | \(0.0778723\pi\) | |||||||
\(110\) | 0.814575 | + | 0.122777i | 0.0776667 | + | 0.0117064i | ||||
\(111\) | −0.0246918 | + | 0.0168346i | −0.00234364 | + | 0.00159787i | ||||
\(112\) | 0.306995 | + | 0.0946953i | 0.0290083 | + | 0.00894787i | ||||
\(113\) | −1.06288 | − | 4.65678i | −0.0999873 | − | 0.438073i | −0.999998 | − | 0.00220423i | \(-0.999298\pi\) |
0.900010 | − | 0.435869i | \(-0.143559\pi\) | |||||||
\(114\) | 13.0804 | + | 33.3283i | 1.22509 | + | 3.12148i | ||||
\(115\) | −0.0449973 | + | 0.600448i | −0.00419602 | + | 0.0559920i | ||||
\(116\) | 0.0740976 | + | 0.0687525i | 0.00687979 | + | 0.00638351i | ||||
\(117\) | −10.5334 | − | 7.18152i | −0.973809 | − | 0.663932i | ||||
\(118\) | −3.08764 | − | 3.87178i | −0.284240 | − | 0.356426i | ||||
\(119\) | 2.08565 | − | 1.93520i | 0.191191 | − | 0.177399i | ||||
\(120\) | −1.19281 | + | 0.179787i | −0.108888 | + | 0.0164122i | ||||
\(121\) | 0.914860 | − | 4.00826i | 0.0831691 | − | 0.364388i | ||||
\(122\) | 13.8423 | − | 23.9755i | 1.25322 | − | 2.17064i | ||||
\(123\) | −13.3549 | − | 23.1314i | −1.20417 | − | 2.08569i | ||||
\(124\) | −8.65235 | + | 2.66890i | −0.777004 | + | 0.239674i | ||||
\(125\) | 0.856758 | − | 1.07434i | 0.0766307 | − | 0.0960919i | ||||
\(126\) | −2.32623 | − | 31.0414i | −0.207237 | − | 2.76539i | ||||
\(127\) | 0.876275 | − | 0.421992i | 0.0777568 | − | 0.0374457i | −0.394601 | − | 0.918852i | \(-0.629117\pi\) |
0.472358 | + | 0.881407i | \(0.343403\pi\) | |||||||
\(128\) | −17.9236 | −1.58424 | ||||||||
\(129\) | 11.5259 | + | 17.6132i | 1.01480 | + | 1.55075i | ||||
\(130\) | 0.547831 | 0.0480479 | ||||||||
\(131\) | −1.04438 | + | 0.502948i | −0.0912480 | + | 0.0439427i | −0.478951 | − | 0.877842i | \(-0.658983\pi\) |
0.387703 | + | 0.921784i | \(0.373269\pi\) | |||||||
\(132\) | −2.01302 | − | 26.8619i | −0.175211 | − | 2.33803i | ||||
\(133\) | 5.70261 | − | 7.15085i | 0.494479 | − | 0.620057i | ||||
\(134\) | −16.8606 | + | 5.20081i | −1.45653 | + | 0.449281i | ||||
\(135\) | −0.951019 | − | 1.64721i | −0.0818507 | − | 0.141770i | ||||
\(136\) | −2.07710 | + | 3.59765i | −0.178110 | + | 0.308496i | ||||
\(137\) | −4.77567 | + | 20.9236i | −0.408013 | + | 1.78762i | 0.185334 | + | 0.982675i | \(0.440663\pi\) |
−0.593348 | + | 0.804946i | \(0.702194\pi\) | |||||||
\(138\) | 31.6484 | − | 4.77022i | 2.69409 | − | 0.406068i | ||||
\(139\) | 9.11951 | − | 8.46167i | 0.773507 | − | 0.717709i | −0.191051 | − | 0.981580i | \(-0.561190\pi\) |
0.964558 | + | 0.263871i | \(0.0849993\pi\) | |||||||
\(140\) | 0.513072 | + | 0.643372i | 0.0433625 | + | 0.0543748i | ||||
\(141\) | 14.9216 | + | 10.1734i | 1.25662 | + | 0.856751i | ||||
\(142\) | 21.9038 | + | 20.3237i | 1.83812 | + | 1.70553i | ||||
\(143\) | −0.342348 | + | 4.56831i | −0.0286285 | + | 0.382021i | ||||
\(144\) | −0.458575 | − | 1.16843i | −0.0382145 | − | 0.0973691i | ||||
\(145\) | −0.000968521 | − | 0.00424337i | −8.04313e−5 | − | 0.000352392i | ||||
\(146\) | 10.3654 | + | 3.19729i | 0.857843 | + | 0.264609i | ||||
\(147\) | 9.29647 | − | 6.33822i | 0.766760 | − | 0.522768i | ||||
\(148\) | −0.0294342 | − | 0.00443649i | −0.00241947 | − | 0.000364677i | ||||
\(149\) | −1.44582 | + | 3.68388i | −0.118446 | + | 0.301795i | −0.977785 | − | 0.209611i | \(-0.932780\pi\) |
0.859339 | + | 0.511407i | \(0.170875\pi\) | |||||||
\(150\) | −32.8413 | − | 15.8156i | −2.68148 | − | 1.29133i | ||||
\(151\) | 6.51587 | + | 3.13788i | 0.530254 | + | 0.255357i | 0.679800 | − | 0.733398i | \(-0.262067\pi\) |
−0.149545 | + | 0.988755i | \(0.547781\pi\) | |||||||
\(152\) | −4.87893 | + | 12.4313i | −0.395733 | + | 1.00831i | ||||
\(153\) | −10.9919 | − | 1.65676i | −0.888642 | − | 0.133941i | ||||
\(154\) | −9.24217 | + | 6.30120i | −0.744755 | + | 0.507766i | ||||
\(155\) | 0.372566 | + | 0.114921i | 0.0299252 | + | 0.00923070i | ||||
\(156\) | −3.98622 | − | 17.4648i | −0.319153 | − | 1.39830i | ||||
\(157\) | 0.923271 | + | 2.35245i | 0.0736850 | + | 0.187746i | 0.962971 | − | 0.269605i | \(-0.0868933\pi\) |
−0.889286 | + | 0.457352i | \(0.848798\pi\) | |||||||
\(158\) | −2.04566 | + | 27.2975i | −0.162744 | + | 2.17167i | ||||
\(159\) | 18.2029 | + | 16.8898i | 1.44358 | + | 1.33945i | ||||
\(160\) | 0.665552 | + | 0.453766i | 0.0526165 | + | 0.0358733i | ||||
\(161\) | −5.09777 | − | 6.39240i | −0.401760 | − | 0.503792i | ||||
\(162\) | −37.4940 | + | 34.7893i | −2.94580 | + | 2.73331i | ||||
\(163\) | −13.4563 | + | 2.02821i | −1.05398 | + | 0.158862i | −0.653103 | − | 0.757269i | \(-0.726533\pi\) |
−0.400878 | + | 0.916131i | \(0.631295\pi\) | |||||||
\(164\) | 5.92004 | − | 25.9374i | 0.462278 | − | 2.02537i | ||||
\(165\) | −0.579951 | + | 1.00450i | −0.0451491 | + | 0.0782006i | ||||
\(166\) | −4.90390 | − | 8.49381i | −0.380617 | − | 0.659248i | ||||
\(167\) | −4.58897 | + | 1.41551i | −0.355105 | + | 0.109535i | −0.467175 | − | 0.884165i | \(-0.654728\pi\) |
0.112070 | + | 0.993700i | \(0.464252\pi\) | |||||||
\(168\) | 10.2126 | − | 12.8062i | 0.787920 | − | 0.988020i | ||||
\(169\) | −0.743822 | − | 9.92561i | −0.0572171 | − | 0.763509i | ||||
\(170\) | 0.430374 | − | 0.207257i | 0.0330081 | − | 0.0158959i | ||||
\(171\) | −35.7346 | −2.73269 | ||||||||
\(172\) | −3.51699 | + | 20.6690i | −0.268168 | + | 1.57600i | ||||
\(173\) | 15.9540 | 1.21296 | 0.606482 | − | 0.795098i | \(-0.292580\pi\) | ||||
0.606482 | + | 0.795098i | \(0.292580\pi\) | |||||||
\(174\) | −0.208442 | + | 0.100381i | −0.0158020 | + | 0.00760983i | ||||
\(175\) | 0.695870 | + | 9.28574i | 0.0526028 | + | 0.701936i | ||||
\(176\) | −0.281223 | + | 0.352643i | −0.0211980 | + | 0.0265815i | ||||
\(177\) | 6.66306 | − | 2.05528i | 0.500826 | − | 0.154484i | ||||
\(178\) | −8.76908 | − | 15.1885i | −0.657270 | − | 1.13843i | ||||
\(179\) | 7.96740 | − | 13.7999i | 0.595512 | − | 1.03146i | −0.397963 | − | 0.917402i | \(-0.630283\pi\) |
0.993474 | − | 0.114055i | \(-0.0363840\pi\) | |||||||
\(180\) | 0.715425 | − | 3.13448i | 0.0533246 | − | 0.233630i | ||||
\(181\) | −20.5685 | + | 3.10020i | −1.52884 | + | 0.230436i | −0.858965 | − | 0.512034i | \(-0.828892\pi\) |
−0.669879 | + | 0.742470i | \(0.733654\pi\) | |||||||
\(182\) | −5.45306 | + | 5.05970i | −0.404208 | + | 0.375050i | ||||
\(183\) | 24.3041 | + | 30.4763i | 1.79661 | + | 2.25287i | ||||
\(184\) | 9.86366 | + | 6.72493i | 0.727159 | + | 0.495768i | ||||
\(185\) | 0.000939579 | 0 | 0.000871802i | 6.90792e−5 | 0 | 6.40961e-5i | ||||
\(186\) | 1.54872 | − | 20.6662i | 0.113558 | − | 1.51532i | ||||
\(187\) | 1.45935 | + | 3.71837i | 0.106718 | + | 0.271914i | ||||
\(188\) | 4.00279 | + | 17.5374i | 0.291933 | + | 1.27904i | ||||
\(189\) | 24.6798 | + | 7.61272i | 1.79519 | + | 0.553744i | ||||
\(190\) | 1.26876 | − | 0.865026i | 0.0920455 | − | 0.0627556i | ||||
\(191\) | −19.6912 | − | 2.96797i | −1.42481 | − | 0.214755i | −0.609041 | − | 0.793139i | \(-0.708446\pi\) |
−0.815765 | + | 0.578384i | \(0.803684\pi\) | |||||||
\(192\) | 15.2397 | − | 38.8300i | 1.09983 | − | 2.80232i | ||||
\(193\) | 6.72820 | + | 3.24013i | 0.484307 | + | 0.233230i | 0.660072 | − | 0.751202i | \(-0.270526\pi\) |
−0.175765 | + | 0.984432i | \(0.556240\pi\) | |||||||
\(194\) | −3.30980 | − | 1.59392i | −0.237630 | − | 0.114437i | ||||
\(195\) | −0.281810 | + | 0.718041i | −0.0201809 | + | 0.0514200i | ||||
\(196\) | 11.0820 | + | 1.67034i | 0.791569 | + | 0.119310i | ||||
\(197\) | 21.9961 | − | 14.9967i | 1.56716 | − | 1.06847i | 0.604910 | − | 0.796294i | \(-0.293209\pi\) |
0.962247 | − | 0.272176i | \(-0.0877434\pi\) | |||||||
\(198\) | 41.7616 | + | 12.8817i | 2.96786 | + | 0.915465i | ||||
\(199\) | −1.93619 | − | 8.48301i | −0.137253 | − | 0.601345i | −0.996032 | − | 0.0889982i | \(-0.971633\pi\) |
0.858779 | − | 0.512347i | \(-0.171224\pi\) | |||||||
\(200\) | −4.96721 | − | 12.6563i | −0.351235 | − | 0.894932i | ||||
\(201\) | 1.85660 | − | 24.7745i | 0.130954 | − | 1.74746i | ||||
\(202\) | −25.1762 | − | 23.3601i | −1.77139 | − | 1.64361i | ||||
\(203\) | 0.0488318 | + | 0.0332930i | 0.00342732 | + | 0.00233671i | ||||
\(204\) | −9.73888 | − | 12.2122i | −0.681858 | − | 0.855023i | ||||
\(205\) | −0.839764 | + | 0.779187i | −0.0586517 | + | 0.0544208i | ||||
\(206\) | 33.1668 | − | 4.99910i | 2.31084 | − | 0.348304i | ||||
\(207\) | −7.10831 | + | 31.1435i | −0.494061 | + | 2.16462i | ||||
\(208\) | −0.149979 | + | 0.259771i | −0.0103992 | + | 0.0180119i | ||||
\(209\) | 6.42051 | + | 11.1206i | 0.444116 | + | 0.769231i | ||||
\(210\) | −1.79978 | + | 0.555158i | −0.124196 | + | 0.0383095i | ||||
\(211\) | −7.72675 | + | 9.68904i | −0.531932 | + | 0.667021i | −0.973095 | − | 0.230406i | \(-0.925995\pi\) |
0.441163 | + | 0.897427i | \(0.354566\pi\) | |||||||
\(212\) | 1.84835 | + | 24.6645i | 0.126945 | + | 1.69396i | ||||
\(213\) | −37.9059 | + | 18.2545i | −2.59727 | + | 1.25078i | ||||
\(214\) | 7.80496 | 0.533536 | ||||||||
\(215\) | 0.626479 | − | 0.650042i | 0.0427255 | − | 0.0443325i | ||||
\(216\) | −37.7103 | −2.56586 | ||||||||
\(217\) | −4.76989 | + | 2.29706i | −0.323801 | + | 0.155934i | ||||
\(218\) | 0.458884 | + | 6.12338i | 0.0310796 | + | 0.414728i | ||||
\(219\) | −9.52274 | + | 11.9411i | −0.643487 | + | 0.806907i | ||||
\(220\) | −1.10400 | + | 0.340538i | −0.0744314 | + | 0.0229591i | ||||
\(221\) | 1.32822 | + | 2.30054i | 0.0893455 | + | 0.154751i | ||||
\(222\) | 0.0340648 | − | 0.0590020i | 0.00228628 | − | 0.00395996i | ||||
\(223\) | 5.71596 | − | 25.0433i | 0.382769 | − | 1.67702i | −0.305994 | − | 0.952033i | \(-0.598989\pi\) |
0.688763 | − | 0.724987i | \(-0.258154\pi\) | |||||||
\(224\) | −10.8158 | + | 1.63022i | −0.722660 | + | 0.108923i | ||||
\(225\) | 26.6693 | − | 24.7455i | 1.77795 | − | 1.64970i | ||||
\(226\) | 6.78940 | + | 8.51364i | 0.451624 | + | 0.566319i | ||||
\(227\) | 0.859865 | + | 0.586246i | 0.0570713 | + | 0.0389105i | 0.591520 | − | 0.806291i | \(-0.298528\pi\) |
−0.534448 | + | 0.845201i | \(0.679481\pi\) | |||||||
\(228\) | −36.8089 | − | 34.1536i | −2.43773 | − | 2.26188i | ||||
\(229\) | 0.562088 | − | 7.50054i | 0.0371438 | − | 0.495650i | −0.947346 | − | 0.320210i | \(-0.896246\pi\) |
0.984490 | − | 0.175439i | \(-0.0561346\pi\) | |||||||
\(230\) | −0.501509 | − | 1.27782i | −0.0330685 | − | 0.0842573i | ||||
\(231\) | −3.50471 | − | 15.3551i | −0.230593 | − | 1.01029i | ||||
\(232\) | −0.0824599 | − | 0.0254355i | −0.00541376 | − | 0.00166992i | ||||
\(233\) | −2.55369 | + | 1.74108i | −0.167298 | + | 0.114062i | −0.644075 | − | 0.764963i | \(-0.722757\pi\) |
0.476777 | + | 0.879024i | \(0.341805\pi\) | |||||||
\(234\) | 28.7390 | + | 4.33171i | 1.87873 | + | 0.283173i | ||||
\(235\) | 0.282982 | − | 0.721026i | 0.0184597 | − | 0.0470346i | ||||
\(236\) | 6.25752 | + | 3.01346i | 0.407330 | + | 0.196160i | ||||
\(237\) | −34.7264 | − | 16.7234i | −2.25573 | − | 1.08630i | ||||
\(238\) | −2.36970 | + | 6.03790i | −0.153605 | + | 0.391379i | ||||
\(239\) | −10.7246 | − | 1.61647i | −0.693716 | − | 0.104561i | −0.207286 | − | 0.978280i | \(-0.566463\pi\) |
−0.486430 | + | 0.873719i | \(0.661701\pi\) | |||||||
\(240\) | −0.0627501 | + | 0.0427823i | −0.00405050 | + | 0.00276159i | ||||
\(241\) | 7.72480 | + | 2.38279i | 0.497598 | + | 0.153489i | 0.533388 | − | 0.845871i | \(-0.320919\pi\) |
−0.0357899 | + | 0.999359i | \(0.511395\pi\) | |||||||
\(242\) | 2.08566 | + | 9.13788i | 0.134071 | + | 0.587405i | ||||
\(243\) | −11.1689 | − | 28.4579i | −0.716485 | − | 1.82557i | ||||
\(244\) | −2.90153 | + | 38.7183i | −0.185752 | + | 2.47868i | ||||
\(245\) | −0.353752 | − | 0.328233i | −0.0226004 | − | 0.0209701i | ||||
\(246\) | 50.3114 | + | 34.3017i | 3.20774 | + | 2.18700i | ||||
\(247\) | 5.32435 | + | 6.67652i | 0.338780 | + | 0.424817i | ||||
\(248\) | 5.66650 | − | 5.25774i | 0.359823 | − | 0.333867i | ||||
\(249\) | 13.6555 | − | 2.05823i | 0.865380 | − | 0.130435i | ||||
\(250\) | −0.697090 | + | 3.05415i | −0.0440878 | + | 0.193161i | ||||
\(251\) | −3.79160 | + | 6.56724i | −0.239324 | + | 0.414521i | −0.960520 | − | 0.278210i | \(-0.910259\pi\) |
0.721197 | + | 0.692730i | \(0.243592\pi\) | |||||||
\(252\) | 21.8284 | + | 37.8080i | 1.37506 | + | 2.38168i | ||||
\(253\) | 10.9691 | − | 3.38351i | 0.689619 | − | 0.212719i | ||||
\(254\) | −1.38245 | + | 1.73354i | −0.0867425 | + | 0.108772i | ||||
\(255\) | 0.0502625 | + | 0.670706i | 0.00314756 | + | 0.0420012i | ||||
\(256\) | 13.3988 | − | 6.45252i | 0.837425 | − | 0.403282i | ||||
\(257\) | −2.35428 | −0.146856 | −0.0734280 | − | 0.997301i | \(-0.523394\pi\) | ||||
−0.0734280 | + | 0.997301i | \(0.523394\pi\) | |||||||
\(258\) | −41.0961 | − | 24.7765i | −2.55853 | − | 1.54251i | ||||
\(259\) | −0.0174044 | −0.00108145 | ||||||||
\(260\) | −0.692231 | + | 0.333361i | −0.0429303 | + | 0.0206742i | ||||
\(261\) | −0.0172559 | − | 0.230264i | −0.00106811 | − | 0.0142530i | ||||
\(262\) | 1.64766 | − | 2.06610i | 0.101793 | − | 0.127644i | ||||
\(263\) | −18.0426 | + | 5.56540i | −1.11255 | + | 0.343177i | −0.795939 | − | 0.605377i | \(-0.793022\pi\) |
−0.316614 | + | 0.948554i | \(0.602546\pi\) | |||||||
\(264\) | 11.4983 | + | 19.9156i | 0.707669 | + | 1.22572i | ||||
\(265\) | 0.532508 | − | 0.922332i | 0.0327117 | − | 0.0566584i | ||||
\(266\) | −4.63985 | + | 20.3285i | −0.284488 | + | 1.24642i | ||||
\(267\) | 24.4185 | − | 3.68049i | 1.49439 | − | 0.225242i | ||||
\(268\) | 18.1401 | − | 16.8315i | 1.10808 | − | 1.02815i | ||||
\(269\) | −7.19083 | − | 9.01702i | −0.438433 | − | 0.549777i | 0.512697 | − | 0.858570i | \(-0.328647\pi\) |
−0.951129 | + | 0.308793i | \(0.900075\pi\) | |||||||
\(270\) | 3.58273 | + | 2.44266i | 0.218038 | + | 0.148656i | ||||
\(271\) | 14.1633 | + | 13.1416i | 0.860357 | + | 0.798294i | 0.980920 | − | 0.194411i | \(-0.0622796\pi\) |
−0.120563 | + | 0.992706i | \(0.538470\pi\) | |||||||
\(272\) | −0.0195454 | + | 0.260815i | −0.00118511 | + | 0.0158142i | ||||
\(273\) | −3.82663 | − | 9.75010i | −0.231598 | − | 0.590103i | ||||
\(274\) | −10.8874 | − | 47.7007i | −0.657731 | − | 2.88171i | ||||
\(275\) | −12.4926 | − | 3.85345i | −0.753330 | − | 0.232371i | ||||
\(276\) | −37.0877 | + | 25.2860i | −2.23242 | + | 1.52204i | ||||
\(277\) | −7.21713 | − | 1.08781i | −0.433635 | − | 0.0653600i | −0.0714024 | − | 0.997448i | \(-0.522747\pi\) |
−0.362233 | + | 0.932088i | \(0.617986\pi\) | |||||||
\(278\) | −10.3615 | + | 26.4008i | −0.621444 | + | 1.58341i | ||||
\(279\) | 18.6360 | + | 8.97463i | 1.11571 | + | 0.537297i | ||||
\(280\) | −0.632948 | − | 0.304812i | −0.0378259 | − | 0.0182160i | ||||
\(281\) | 3.84059 | − | 9.78566i | 0.229110 | − | 0.583764i | −0.769374 | − | 0.638798i | \(-0.779432\pi\) |
0.998484 | + | 0.0550349i | \(0.0175270\pi\) | |||||||
\(282\) | −40.7118 | − | 6.13632i | −2.42435 | − | 0.365412i | ||||
\(283\) | 20.0722 | − | 13.6850i | 1.19317 | − | 0.813487i | 0.206854 | − | 0.978372i | \(-0.433678\pi\) |
0.986313 | + | 0.164885i | \(0.0527252\pi\) | |||||||
\(284\) | −40.0445 | − | 12.3521i | −2.37620 | − | 0.732962i | ||||
\(285\) | 0.481124 | + | 2.10794i | 0.0284993 | + | 0.124864i | ||||
\(286\) | −3.81557 | − | 9.72191i | −0.225619 | − | 0.574869i | ||||
\(287\) | 1.16246 | − | 15.5119i | 0.0686178 | − | 0.915641i | ||||
\(288\) | 31.3267 | + | 29.0670i | 1.84595 | + | 1.71279i | ||||
\(289\) | −12.1323 | − | 8.27164i | −0.713663 | − | 0.486567i | ||||
\(290\) | 0.00618666 | + | 0.00775783i | 0.000363293 | + | 0.000455556i | ||||
\(291\) | 3.79175 | − | 3.51823i | 0.222276 | − | 0.206242i | ||||
\(292\) | −15.0431 | + | 2.26738i | −0.880331 | + | 0.132688i | ||||
\(293\) | 2.90395 | − | 12.7230i | 0.169651 | − | 0.743288i | −0.816488 | − | 0.577363i | \(-0.804082\pi\) |
0.986138 | − | 0.165925i | \(-0.0530610\pi\) | |||||||
\(294\) | −12.8254 | + | 22.2143i | −0.747994 | + | 1.29556i | ||||
\(295\) | −0.149531 | − | 0.258995i | −0.00870603 | − | 0.0150793i | ||||
\(296\) | 0.0242831 | − | 0.00749033i | 0.00141142 | − | 0.000435367i | ||||
\(297\) | −22.6081 | + | 28.3496i | −1.31185 | + | 1.64501i | ||||
\(298\) | −0.674216 | − | 8.99679i | −0.0390563 | − | 0.521170i | ||||
\(299\) | 6.87786 | − | 3.31220i | 0.397757 | − | 0.191550i | ||||
\(300\) | 51.1218 | 2.95152 | ||||||||
\(301\) | −0.232207 | + | 12.2566i | −0.0133842 | + | 0.706456i | ||||
\(302\) | −16.4874 | −0.948743 | ||||||||
\(303\) | 43.5691 | − | 20.9818i | 2.50298 | − | 1.20537i | ||||
\(304\) | 0.0628323 | + | 0.838438i | 0.00360368 | + | 0.0480877i | ||||
\(305\) | 1.04239 | − | 1.30711i | 0.0596870 | − | 0.0748452i | ||||
\(306\) | 24.2161 | − | 7.46967i | 1.38434 | − | 0.427012i | ||||
\(307\) | 10.4712 | + | 18.1367i | 0.597625 | + | 1.03512i | 0.993171 | + | 0.116671i | \(0.0372222\pi\) |
−0.395546 | + | 0.918446i | \(0.629444\pi\) | |||||||
\(308\) | 7.84392 | − | 13.5861i | 0.446949 | − | 0.774138i | ||||
\(309\) | −10.5091 | + | 46.0434i | −0.597842 | + | 2.61932i | ||||
\(310\) | −0.878922 | + | 0.132476i | −0.0499194 | + | 0.00752414i | ||||
\(311\) | −12.1661 | + | 11.2884i | −0.689873 | + | 0.640109i | −0.945103 | − | 0.326771i | \(-0.894039\pi\) |
0.255230 | + | 0.966880i | \(0.417849\pi\) | |||||||
\(312\) | 9.53519 | + | 11.9567i | 0.539824 | + | 0.676917i | ||||
\(313\) | −9.26269 | − | 6.31519i | −0.523558 | − | 0.356956i | 0.272520 | − | 0.962150i | \(-0.412143\pi\) |
−0.796078 | + | 0.605194i | \(0.793095\pi\) | |||||||
\(314\) | −4.22332 | − | 3.91867i | −0.238336 | − | 0.221143i | ||||
\(315\) | 0.140481 | − | 1.87459i | 0.00791519 | − | 0.105621i | ||||
\(316\) | −14.0259 | − | 35.7375i | −0.789020 | − | 2.01039i | ||||
\(317\) | −2.77593 | − | 12.1622i | −0.155912 | − | 0.683095i | −0.991099 | − | 0.133128i | \(-0.957498\pi\) |
0.835187 | − | 0.549966i | \(-0.185359\pi\) | |||||||
\(318\) | −54.0951 | − | 16.6861i | −3.03350 | − | 0.935712i | ||||
\(319\) | −0.0685580 | + | 0.0467421i | −0.00383851 | + | 0.00261705i | ||||
\(320\) | −1.76909 | − | 0.266648i | −0.0988952 | − | 0.0149061i | ||||
\(321\) | −4.01496 | + | 10.2300i | −0.224093 | + | 0.570981i | ||||
\(322\) | 16.7938 | + | 8.08748i | 0.935883 | + | 0.450698i | ||||
\(323\) | 6.70867 | + | 3.23072i | 0.373280 | + | 0.179762i | ||||
\(324\) | 26.2072 | − | 66.7748i | 1.45595 | − | 3.70971i | ||||
\(325\) | −8.59700 | − | 1.29579i | −0.476876 | − | 0.0718775i | ||||
\(326\) | 25.6330 | − | 17.4763i | 1.41968 | − | 0.967921i | ||||
\(327\) | −8.26197 | − | 2.54848i | −0.456888 | − | 0.140931i | ||||
\(328\) | 5.05399 | + | 22.1430i | 0.279060 | + | 1.22264i | ||||
\(329\) | 3.84254 | + | 9.79063i | 0.211846 | + | 0.539775i | ||||
\(330\) | 0.197609 | − | 2.63690i | 0.0108780 | − | 0.145157i | ||||
\(331\) | −3.11477 | − | 2.89008i | −0.171203 | − | 0.158853i | 0.589918 | − | 0.807463i | \(-0.299160\pi\) |
−0.761121 | + | 0.648610i | \(0.775351\pi\) | |||||||
\(332\) | 11.3651 | + | 7.74858i | 0.623740 | + | 0.425259i | ||||
\(333\) | 0.0423967 | + | 0.0531637i | 0.00232332 | + | 0.00291335i | ||||
\(334\) | 8.02555 | − | 7.44662i | 0.439139 | − | 0.407461i | ||||
\(335\) | −1.05365 | + | 0.158812i | −0.0575668 | + | 0.00867681i | ||||
\(336\) | 0.229477 | − | 1.00540i | 0.0125190 | − | 0.0548493i | ||||
\(337\) | −4.80721 | + | 8.32633i | −0.261865 | + | 0.453564i | −0.966738 | − | 0.255770i | \(-0.917671\pi\) |
0.704872 | + | 0.709334i | \(0.251004\pi\) | |||||||
\(338\) | 11.3457 | + | 19.6514i | 0.617126 | + | 1.06889i | ||||
\(339\) | −14.6514 | + | 4.51935i | −0.795753 | + | 0.245457i | ||||
\(340\) | −0.417696 | + | 0.523774i | −0.0226527 | + | 0.0284056i | ||||
\(341\) | −0.555455 | − | 7.41204i | −0.0300796 | − | 0.401384i | ||||
\(342\) | 73.3986 | − | 35.3469i | 3.96894 | − | 1.91134i | ||||
\(343\) | 19.6388 | 1.06040 | ||||||||
\(344\) | −4.95088 | − | 17.2006i | −0.266934 | − | 0.927396i | ||||
\(345\) | 1.93283 | 0.104060 | ||||||||
\(346\) | −32.7695 | + | 15.7809i | −1.76170 | + | 0.848389i | ||||
\(347\) | 0.746266 | + | 9.95823i | 0.0400617 | + | 0.534586i | 0.980744 | + | 0.195297i | \(0.0625672\pi\) |
−0.940682 | + | 0.339288i | \(0.889814\pi\) | |||||||
\(348\) | 0.202302 | − | 0.253679i | 0.0108445 | − | 0.0135986i | ||||
\(349\) | −0.602110 | + | 0.185726i | −0.0322302 | + | 0.00994170i | −0.310828 | − | 0.950466i | \(-0.600606\pi\) |
0.278598 | + | 0.960408i | \(0.410130\pi\) | |||||||
\(350\) | −10.6143 | − | 18.3845i | −0.567359 | − | 0.982694i | ||||
\(351\) | −12.0571 | + | 20.8834i | −0.643558 | + | 1.11467i | ||||
\(352\) | 3.41713 | − | 14.9714i | 0.182134 | − | 0.797980i | ||||
\(353\) | 17.3796 | − | 2.61956i | 0.925024 | − | 0.139425i | 0.330778 | − | 0.943708i | \(-0.392689\pi\) |
0.594246 | + | 0.804284i | \(0.297451\pi\) | |||||||
\(354\) | −11.6529 | + | 10.8123i | −0.619344 | + | 0.574667i | ||||
\(355\) | 1.12506 | + | 1.41078i | 0.0597122 | + | 0.0748767i | ||||
\(356\) | 20.3228 | + | 13.8559i | 1.07711 | + | 0.734360i | ||||
\(357\) | −6.69487 | − | 6.21193i | −0.354330 | − | 0.328770i | ||||
\(358\) | −2.71476 | + | 36.2260i | −0.143480 | + | 1.91460i | ||||
\(359\) | −9.26838 | − | 23.6154i | −0.489166 | − | 1.24638i | −0.936077 | − | 0.351796i | \(-0.885571\pi\) |
0.446910 | − | 0.894579i | \(-0.352524\pi\) | |||||||
\(360\) | 0.610765 | + | 2.67593i | 0.0321901 | + | 0.141034i | ||||
\(361\) | 4.71739 | + | 1.45512i | 0.248284 | + | 0.0765854i | ||||
\(362\) | 39.1810 | − | 26.7131i | 2.05931 | − | 1.40401i | ||||
\(363\) | −13.0499 | − | 1.96696i | −0.684942 | − | 0.103238i | ||||
\(364\) | 3.81153 | − | 9.71162i | 0.199778 | − | 0.509027i | ||||
\(365\) | 0.590192 | + | 0.284222i | 0.0308921 | + | 0.0148768i | ||||
\(366\) | −80.0660 | − | 38.5578i | −4.18512 | − | 2.01545i | ||||
\(367\) | −6.30459 | + | 16.0638i | −0.329097 | + | 0.838526i | 0.666562 | + | 0.745450i | \(0.267765\pi\) |
−0.995659 | + | 0.0930762i | \(0.970330\pi\) | |||||||
\(368\) | 0.743217 | + | 0.112022i | 0.0387429 | + | 0.00583955i | ||||
\(369\) | −50.2148 | + | 34.2359i | −2.61408 | + | 1.78225i | ||||
\(370\) | −0.00279223 | 0.000861289i | −0.000145161 | 4.47763e-5i | ||||||
\(371\) | 3.21801 | + | 14.0990i | 0.167071 | + | 0.731984i | ||||
\(372\) | 10.6187 | + | 27.0559i | 0.550553 | + | 1.40279i | ||||
\(373\) | −1.92562 | + | 25.6956i | −0.0997047 | + | 1.33047i | 0.693034 | + | 0.720905i | \(0.256274\pi\) |
−0.792738 | + | 0.609562i | \(0.791345\pi\) | |||||||
\(374\) | −6.67552 | − | 6.19398i | −0.345183 | − | 0.320283i | ||||
\(375\) | −3.64448 | − | 2.48476i | −0.188200 | − | 0.128313i | ||||
\(376\) | −9.57483 | − | 12.0065i | −0.493784 | − | 0.619185i | ||||
\(377\) | −0.0404506 | + | 0.0375327i | −0.00208331 | + | 0.00193303i | ||||
\(378\) | −58.2223 | + | 8.77561i | −2.99463 | + | 0.451369i | ||||
\(379\) | −4.68141 | + | 20.5106i | −0.240468 | + | 1.05356i | 0.700124 | + | 0.714021i | \(0.253128\pi\) |
−0.940592 | + | 0.339538i | \(0.889729\pi\) | |||||||
\(380\) | −1.07681 | + | 1.86509i | −0.0552392 | + | 0.0956770i | ||||
\(381\) | −1.56100 | − | 2.70373i | −0.0799723 | − | 0.138516i | ||||
\(382\) | 43.3814 | − | 13.3814i | 2.21958 | − | 0.684651i | ||||
\(383\) | 15.1051 | − | 18.9412i | 0.771835 | − | 0.967851i | −0.228148 | − | 0.973626i | \(-0.573267\pi\) |
0.999983 | + | 0.00577548i | \(0.00183840\pi\) | |||||||
\(384\) | 4.29954 | + | 57.3734i | 0.219410 | + | 2.92782i | ||||
\(385\) | −0.608614 | + | 0.293093i | −0.0310178 | + | 0.0149374i | ||||
\(386\) | −17.0247 | −0.866532 | ||||||||
\(387\) | 38.0048 | − | 29.1474i | 1.93189 | − | 1.48165i | ||||
\(388\) | 5.15213 | 0.261560 | ||||||||
\(389\) | 27.2994 | − | 13.1467i | 1.38414 | − | 0.666565i | 0.414259 | − | 0.910159i | \(-0.364041\pi\) |
0.969877 | + | 0.243594i | \(0.0783265\pi\) | |||||||
\(390\) | −0.131414 | − | 1.75360i | −0.00665443 | − | 0.0887972i | ||||
\(391\) | 4.15013 | − | 5.20410i | 0.209881 | − | 0.263183i | ||||
\(392\) | −9.14257 | + | 2.82011i | −0.461770 | + | 0.142437i | ||||
\(393\) | 1.86046 | + | 3.22241i | 0.0938479 | + | 0.162549i | ||||
\(394\) | −30.3459 | + | 52.5606i | −1.52880 | + | 2.64796i | ||||
\(395\) | −0.367852 | + | 1.61166i | −0.0185086 | + | 0.0810916i | ||||
\(396\) | −60.6080 | + | 9.13518i | −3.04567 | + | 0.459060i | ||||
\(397\) | −1.24872 | + | 1.15864i | −0.0626714 | + | 0.0581506i | −0.710887 | − | 0.703307i | \(-0.751706\pi\) |
0.648215 | + | 0.761457i | \(0.275516\pi\) | |||||||
\(398\) | 12.3679 | + | 15.5089i | 0.619947 | + | 0.777389i | ||||
\(399\) | −24.2578 | − | 16.5387i | −1.21441 | − | 0.827970i | ||||
\(400\) | −0.627495 | − | 0.582230i | −0.0313747 | − | 0.0291115i | ||||
\(401\) | −0.000639389 | 0.00853205i | −3.19295e−5 | 0.000426070i | −0.997220 | − | 0.0745171i | \(-0.976258\pi\) | ||
0.997188 | + | 0.0749431i | \(0.0238775\pi\) | |||||||
\(402\) | 20.6923 | + | 52.7232i | 1.03204 | + | 2.62959i | ||||
\(403\) | −1.09992 | − | 4.81907i | −0.0547910 | − | 0.240055i | ||||
\(404\) | 46.0272 | + | 14.1975i | 2.28994 | + | 0.706353i | ||||
\(405\) | −2.55209 | + | 1.73998i | −0.126814 | + | 0.0864605i | ||||
\(406\) | −0.133232 | − | 0.0200815i | −0.00661220 | − | 0.000996628i | ||||
\(407\) | 0.00892712 | − | 0.0227459i | 0.000442501 | − | 0.00112747i | ||||
\(408\) | 12.0143 | + | 5.78579i | 0.594797 | + | 0.286439i | ||||
\(409\) | 27.0944 | + | 13.0480i | 1.33973 | + | 0.645182i | 0.960022 | − | 0.279923i | \(-0.0903090\pi\) |
0.379711 | + | 0.925105i | \(0.376023\pi\) | |||||||
\(410\) | 0.954136 | − | 2.43110i | 0.0471214 | − | 0.120063i | ||||
\(411\) | 68.1219 | + | 10.2677i | 3.36021 | + | 0.506470i | ||||
\(412\) | −38.8672 | + | 26.4992i | −1.91485 | + | 1.30552i | ||||
\(413\) | 3.88047 | + | 1.19697i | 0.190945 | + | 0.0588989i | ||||
\(414\) | −16.2052 | − | 70.9998i | −0.796444 | − | 3.48945i | ||||
\(415\) | −0.216388 | − | 0.551349i | −0.0106221 | − | 0.0270646i | ||||
\(416\) | 0.763175 | − | 10.1839i | 0.0374177 | − | 0.499305i | ||||
\(417\) | −29.2734 | − | 27.1617i | −1.43352 | − | 1.33012i | ||||
\(418\) | −24.1877 | − | 16.4909i | −1.18306 | − | 0.806595i | ||||
\(419\) | 6.19225 | + | 7.76484i | 0.302511 | + | 0.379337i | 0.909732 | − | 0.415196i | \(-0.136287\pi\) |
−0.607221 | + | 0.794533i | \(0.707716\pi\) | |||||||
\(420\) | 1.93635 | − | 1.79667i | 0.0944844 | − | 0.0876687i | ||||
\(421\) | 10.9358 | − | 1.64831i | 0.532980 | − | 0.0803338i | 0.122962 | − | 0.992411i | \(-0.460761\pi\) |
0.410018 | + | 0.912078i | \(0.365522\pi\) | |||||||
\(422\) | 6.28677 | − | 27.5441i | 0.306035 | − | 1.34083i | ||||
\(423\) | 20.5463 | − | 35.5873i | 0.998997 | − | 1.73031i | ||||
\(424\) | −10.5577 | − | 18.2864i | −0.512725 | − | 0.888066i | ||||
\(425\) | −7.24400 | + | 2.23448i | −0.351386 | + | 0.108388i | ||||
\(426\) | 59.8019 | − | 74.9892i | 2.89741 | − | 3.63324i | ||||
\(427\) | 1.69651 | + | 22.6383i | 0.0820997 | + | 1.09554i | ||||
\(428\) | −9.86224 | + | 4.74940i | −0.476709 | + | 0.229571i | ||||
\(429\) | 14.7053 | 0.709978 | ||||||||
\(430\) | −0.643794 | + | 1.95486i | −0.0310465 | + | 0.0942719i | ||||
\(431\) | −24.7776 | −1.19350 | −0.596748 | − | 0.802429i | \(-0.703541\pi\) | ||||
−0.596748 | + | 0.802429i | \(0.703541\pi\) | |||||||
\(432\) | −2.13910 | + | 1.03014i | −0.102918 | + | 0.0495625i | ||||
\(433\) | −0.472647 | − | 6.30704i | −0.0227140 | − | 0.303097i | −0.996978 | − | 0.0776864i | \(-0.975247\pi\) |
0.974264 | − | 0.225411i | \(-0.0723723\pi\) | |||||||
\(434\) | 7.52518 | − | 9.43628i | 0.361220 | − | 0.452956i | ||||
\(435\) | −0.0133507 | + | 0.00411814i | −0.000640116 | + | 0.000197450i | ||||
\(436\) | −4.30599 | − | 7.45818i | −0.206219 | − | 0.357182i | ||||
\(437\) | 10.6989 | − | 18.5311i | 0.511800 | − | 0.886464i | ||||
\(438\) | 7.74805 | − | 33.9464i | 0.370216 | − | 1.62202i | ||||
\(439\) | −39.1946 | + | 5.90764i | −1.87066 | + | 0.281956i | −0.983690 | − | 0.179874i | \(-0.942431\pi\) |
−0.886968 | + | 0.461831i | \(0.847193\pi\) | |||||||
\(440\) | 0.723017 | − | 0.670861i | 0.0344685 | − | 0.0319821i | ||||
\(441\) | −15.9624 | − | 20.0162i | −0.760112 | − | 0.953150i | ||||
\(442\) | −5.00372 | − | 3.41148i | −0.238003 | − | 0.162268i | ||||
\(443\) | 3.82446 | + | 3.54858i | 0.181705 | + | 0.168598i | 0.765781 | − | 0.643101i | \(-0.222352\pi\) |
−0.584076 | + | 0.811699i | \(0.698543\pi\) | |||||||
\(444\) | −0.00714047 | + | 0.0952829i | −0.000338872 | + | 0.00452193i | ||||
\(445\) | −0.386942 | − | 0.985913i | −0.0183428 | − | 0.0467367i | ||||
\(446\) | 13.0310 | + | 57.0926i | 0.617036 | + | 2.70341i | ||||
\(447\) | 12.1389 | + | 3.74436i | 0.574151 | + | 0.177102i | ||||
\(448\) | 20.0721 | − | 13.6849i | 0.948318 | − | 0.646553i | ||||
\(449\) | −17.9937 | − | 2.71211i | −0.849174 | − | 0.127992i | −0.289983 | − | 0.957032i | \(-0.593650\pi\) |
−0.559190 | + | 0.829039i | \(0.688888\pi\) | |||||||
\(450\) | −30.3015 | + | 77.2071i | −1.42843 | + | 3.63958i | ||||
\(451\) | 19.6765 | + | 9.47568i | 0.926528 | + | 0.446193i | ||||
\(452\) | −13.7596 | − | 6.62629i | −0.647199 | − | 0.311674i | ||||
\(453\) | 8.48130 | − | 21.6100i | 0.398486 | − | 1.01533i | ||||
\(454\) | −2.34604 | − | 0.353609i | −0.110105 | − | 0.0165957i | ||||
\(455\) | −0.371172 | + | 0.253061i | −0.0174008 | + | 0.0118637i | ||||
\(456\) | 40.9630 | + | 12.6354i | 1.91827 | + | 0.591707i | ||||
\(457\) | −3.71097 | − | 16.2588i | −0.173592 | − | 0.760555i | −0.984500 | − | 0.175383i | \(-0.943884\pi\) |
0.810909 | − | 0.585173i | \(-0.198973\pi\) | |||||||
\(458\) | 6.26464 | + | 15.9620i | 0.292728 | + | 0.745858i | ||||
\(459\) | −1.57129 | + | 20.9674i | −0.0733415 | + | 0.978674i | ||||
\(460\) | 1.41127 | + | 1.30947i | 0.0658008 | + | 0.0610542i | ||||
\(461\) | −19.7084 | − | 13.4370i | −0.917912 | − | 0.625822i | 0.00946308 | − | 0.999955i | \(-0.496988\pi\) |
−0.927375 | + | 0.374134i | \(0.877940\pi\) | |||||||
\(462\) | 22.3872 | + | 28.0726i | 1.04155 | + | 1.30606i | ||||
\(463\) | −21.0248 | + | 19.5082i | −0.977105 | + | 0.906621i | −0.995647 | − | 0.0932067i | \(-0.970288\pi\) |
0.0185413 | + | 0.999828i | \(0.494098\pi\) | |||||||
\(464\) | −0.00537233 | 0.000809748i | −0.000249404 | 3.75916e-5i | ||||||
\(465\) | 0.278491 | − | 1.22015i | 0.0129147 | − | 0.0565831i | ||||
\(466\) | 3.52307 | − | 6.10214i | 0.163203 | − | 0.282676i | ||||
\(467\) | −14.0267 | − | 24.2950i | −0.649079 | − | 1.12424i | −0.983343 | − | 0.181759i | \(-0.941821\pi\) |
0.334264 | − | 0.942480i | \(-0.391512\pi\) | |||||||
\(468\) | −38.9501 | + | 12.0145i | −1.80047 | + | 0.555372i | ||||
\(469\) | 9.02115 | − | 11.3122i | 0.416558 | − | 0.522347i | ||||
\(470\) | 0.131961 | + | 1.76089i | 0.00608690 | + | 0.0812240i | ||||
\(471\) | 7.30873 | − | 3.51970i | 0.336768 | − | 0.162179i | ||||
\(472\) | −5.92928 | −0.272917 | ||||||||
\(473\) | −15.8991 | − | 6.59016i | −0.731042 | − | 0.303016i | ||||
\(474\) | 87.8698 | 4.03599 | ||||||||
\(475\) | −21.9565 | + | 10.5737i | −1.00743 | + | 0.485154i | ||||
\(476\) | −0.679807 | − | 9.07140i | −0.0311589 | − | 0.415787i | ||||
\(477\) | 35.2281 | − | 44.1747i | 1.61299 | − | 2.02262i | ||||
\(478\) | 23.6272 | − | 7.28802i | 1.08068 | − | 0.333346i | ||||
\(479\) | 5.20755 | + | 9.01975i | 0.237939 | + | 0.412123i | 0.960123 | − | 0.279579i | \(-0.0901948\pi\) |
−0.722184 | + | 0.691701i | \(0.756861\pi\) | |||||||
\(480\) | 1.29285 | − | 2.23928i | 0.0590102 | − | 0.102209i | ||||
\(481\) | 0.00361594 | − | 0.0158425i | 0.000164873 | − | 0.000722355i | ||||
\(482\) | −18.2236 | + | 2.74677i | −0.830063 | + | 0.125112i | ||||
\(483\) | −19.2392 | + | 17.8514i | −0.875414 | + | 0.812265i | ||||
\(484\) | −8.19591 | − | 10.2773i | −0.372541 | − | 0.467152i | ||||
\(485\) | −0.183299 | − | 0.124971i | −0.00832320 | − | 0.00567466i | ||||
\(486\) | 51.0900 | + | 47.4046i | 2.31749 | + | 2.15032i | ||||
\(487\) | 0.961288 | − | 12.8275i | 0.0435601 | − | 0.581270i | −0.932131 | − | 0.362121i | \(-0.882053\pi\) |
0.975691 | − | 0.219149i | \(-0.0703281\pi\) | |||||||
\(488\) | −12.1099 | − | 30.8555i | −0.548189 | − | 1.39676i | ||||
\(489\) | 9.72023 | + | 42.5871i | 0.439564 | + | 1.92586i | ||||
\(490\) | 1.05128 | + | 0.324275i | 0.0474918 | + | 0.0146493i | ||||
\(491\) | −14.1743 | + | 9.66387i | −0.639677 | + | 0.436124i | −0.839240 | − | 0.543761i | \(-0.817000\pi\) |
0.199563 | + | 0.979885i | \(0.436048\pi\) | |||||||
\(492\) | −84.4457 | − | 12.7281i | −3.80711 | − | 0.573829i | ||||
\(493\) | −0.0175783 | + | 0.0447889i | −0.000791689 | + | 0.00201719i | ||||
\(494\) | −17.5402 | − | 8.44694i | −0.789173 | − | 0.380046i | ||||
\(495\) | 2.37786 | + | 1.14512i | 0.106877 | + | 0.0514692i | ||||
\(496\) | 0.177803 | − | 0.453035i | 0.00798360 | − | 0.0203419i | ||||
\(497\) | −24.2286 | − | 3.65188i | −1.08680 | − | 0.163809i | ||||
\(498\) | −26.0123 | + | 17.7349i | −1.16564 | + | 0.794720i | ||||
\(499\) | 25.1909 | + | 7.77036i | 1.12770 | + | 0.347849i | 0.801822 | − | 0.597563i | \(-0.203864\pi\) |
0.325877 | + | 0.945412i | \(0.394341\pi\) | |||||||
\(500\) | −0.977650 | − | 4.28337i | −0.0437219 | − | 0.191558i | ||||
\(501\) | 5.63185 | + | 14.3497i | 0.251612 | + | 0.641098i | ||||
\(502\) | 1.29192 | − | 17.2395i | 0.0576614 | − | 0.769438i | ||||
\(503\) | 9.48122 | + | 8.79729i | 0.422747 | + | 0.392252i | 0.862656 | − | 0.505790i | \(-0.168799\pi\) |
−0.439910 | + | 0.898042i | \(0.644990\pi\) | |||||||
\(504\) | −30.7941 | − | 20.9951i | −1.37168 | − | 0.935195i | ||||
\(505\) | −1.29315 | − | 1.62156i | −0.0575444 | − | 0.0721584i | ||||
\(506\) | −19.1836 | + | 17.7998i | −0.852814 | + | 0.791296i | ||||
\(507\) | −31.5934 | + | 4.76194i | −1.40311 | + | 0.211485i | ||||
\(508\) | 0.691967 | − | 3.03171i | 0.0307011 | − | 0.134510i | ||||
\(509\) | −5.76803 | + | 9.99052i | −0.255663 | + | 0.442822i | −0.965075 | − | 0.261972i | \(-0.915627\pi\) |
0.709412 | + | 0.704794i | \(0.248961\pi\) | |||||||
\(510\) | −0.766668 | − | 1.32791i | −0.0339486 | − | 0.0588007i | ||||
\(511\) | −8.49977 | + | 2.62183i | −0.376008 | + | 0.115983i | ||||
\(512\) | 1.21185 | − | 1.51961i | 0.0535567 | − | 0.0671580i | ||||
\(513\) | 5.05120 | + | 67.4035i | 0.223016 | + | 2.97594i | ||||
\(514\) | 4.83567 | − | 2.32874i | 0.213292 | − | 0.102716i | ||||
\(515\) | 2.02556 | 0.0892570 | ||||||||
\(516\) | 67.0052 | + | 6.29974i | 2.94974 | + | 0.277331i | ||||
\(517\) | −14.7664 | −0.649426 | ||||||||
\(518\) | 0.0357484 | − | 0.0172155i | 0.00157070 | − | 0.000756407i | ||||
\(519\) | −3.82708 | − | 51.0688i | −0.167990 | − | 2.24167i | ||||
\(520\) | 0.408960 | − | 0.512819i | 0.0179341 | − | 0.0224886i | ||||
\(521\) | 9.00500 | − | 2.77767i | 0.394516 | − | 0.121692i | −0.0911485 | − | 0.995837i | \(-0.529054\pi\) |
0.485665 | + | 0.874145i | \(0.338578\pi\) | |||||||
\(522\) | 0.263209 | + | 0.455892i | 0.0115204 | + | 0.0199538i | ||||
\(523\) | 3.57717 | − | 6.19584i | 0.156419 | − | 0.270925i | −0.777156 | − | 0.629308i | \(-0.783338\pi\) |
0.933575 | + | 0.358383i | \(0.116672\pi\) | |||||||
\(524\) | −0.824716 | + | 3.61332i | −0.0360279 | + | 0.157848i | ||||
\(525\) | 29.5567 | − | 4.45496i | 1.28996 | − | 0.194430i | ||||
\(526\) | 31.5543 | − | 29.2781i | 1.37583 | − | 1.27659i | ||||
\(527\) | −2.68726 | − | 3.36972i | −0.117059 | − | 0.146787i | ||||
\(528\) | 1.19627 | + | 0.815603i | 0.0520610 | + | 0.0354946i | ||||
\(529\) | 2.83812 | + | 2.63339i | 0.123397 | + | 0.114495i | ||||
\(530\) | −0.181443 | + | 2.42119i | −0.00788140 | + | 0.105170i | ||||
\(531\) | −5.79647 | − | 14.7692i | −0.251545 | − | 0.640927i | ||||
\(532\) | −6.50728 | − | 28.5102i | −0.282126 | − | 1.23608i | ||||
\(533\) | 13.8784 | + | 4.28091i | 0.601139 | + | 0.185427i | ||||
\(534\) | −46.5148 | + | 31.7132i | −2.01289 | + | 1.37237i | ||||
\(535\) | 0.466076 | + | 0.0702496i | 0.0201502 | + | 0.00303715i | ||||
\(536\) | −7.71814 | + | 19.6655i | −0.333373 | + | 0.849420i | ||||
\(537\) | −46.0848 | − | 22.1933i | −1.98871 | − | 0.957711i | ||||
\(538\) | 23.6891 | + | 11.4081i | 1.02131 | + | 0.491837i | ||||
\(539\) | −3.36106 | + | 8.56385i | −0.144771 | + | 0.368871i | ||||
\(540\) | −6.01347 | − | 0.906385i | −0.258779 | − | 0.0390046i | ||||
\(541\) | −8.53507 | + | 5.81911i | −0.366951 | + | 0.250183i | −0.732731 | − | 0.680518i | \(-0.761755\pi\) |
0.365780 | + | 0.930701i | \(0.380802\pi\) | |||||||
\(542\) | −42.0902 | − | 12.9831i | −1.80793 | − | 0.557673i | ||||
\(543\) | 14.8577 | + | 65.0961i | 0.637607 | + | 2.79354i | ||||
\(544\) | −3.25324 | − | 8.28913i | −0.139482 | − | 0.355393i | ||||
\(545\) | −0.0277119 | + | 0.369790i | −0.00118705 | + | 0.0158401i | ||||
\(546\) | 17.5042 | + | 16.2415i | 0.749110 | + | 0.695073i | ||||
\(547\) | −15.8508 | − | 10.8069i | −0.677732 | − | 0.462070i | 0.174897 | − | 0.984587i | \(-0.444041\pi\) |
−0.852629 | + | 0.522517i | \(0.824993\pi\) | |||||||
\(548\) | 42.7836 | + | 53.6489i | 1.82762 | + | 2.29177i | ||||
\(549\) | 65.0188 | − | 60.3287i | 2.77494 | − | 2.57476i | ||||
\(550\) | 29.4713 | − | 4.44208i | 1.25666 | − | 0.189411i | ||||
\(551\) | −0.0344182 | + | 0.150796i | −0.00146627 | + | 0.00642413i | ||||
\(552\) | 19.1604 | − | 33.1867i | 0.815520 | − | 1.41252i | ||||
\(553\) | −11.2236 | − | 19.4398i | −0.477275 | − | 0.826665i | ||||
\(554\) | 15.8999 | − | 4.90448i | 0.675524 | − | 0.208372i | ||||
\(555\) | 0.00256525 | − | 0.00321672i | 0.000108889 | − | 0.000136542i | ||||
\(556\) | −2.97246 | − | 39.6647i | −0.126060 | − | 1.68216i | ||||
\(557\) | 6.42632 | − | 3.09475i | 0.272292 | − | 0.131129i | −0.292755 | − | 0.956187i | \(-0.594572\pi\) |
0.565047 | + | 0.825058i | \(0.308858\pi\) | |||||||
\(558\) | −47.1555 | −1.99625 | ||||||||
\(559\) | −11.1084 | − | 2.75780i | −0.469835 | − | 0.116642i | ||||
\(560\) | −0.0442303 | −0.00186907 | ||||||||
\(561\) | 11.5524 | − | 5.56335i | 0.487743 | − | 0.234885i | ||||
\(562\) | 1.79095 | + | 23.8986i | 0.0755468 | + | 1.00810i | ||||
\(563\) | −21.1930 | + | 26.5751i | −0.893177 | + | 1.12001i | 0.0989904 | + | 0.995088i | \(0.468439\pi\) |
−0.992167 | + | 0.124920i | \(0.960133\pi\) | |||||||
\(564\) | 55.1769 | − | 17.0198i | 2.32336 | − | 0.716663i | ||||
\(565\) | 0.328803 | + | 0.569503i | 0.0138328 | + | 0.0239592i | ||||
\(566\) | −27.6916 | + | 47.9632i | −1.16396 | + | 2.01604i | ||||
\(567\) | 9.33298 | − | 40.8905i | 0.391948 | − | 1.71724i | ||||
\(568\) | 35.3762 | − | 5.33210i | 1.48435 | − | 0.223730i | ||||
\(569\) | 6.97134 | − | 6.46846i | 0.292254 | − | 0.271172i | −0.520395 | − | 0.853926i | \(-0.674215\pi\) |
0.812649 | + | 0.582754i | \(0.198025\pi\) | |||||||
\(570\) | −3.07330 | − | 3.85379i | −0.128726 | − | 0.161418i | ||||
\(571\) | 12.2755 | + | 8.36930i | 0.513714 | + | 0.350244i | 0.792265 | − | 0.610177i | \(-0.208902\pi\) |
−0.278551 | + | 0.960421i | \(0.589854\pi\) | |||||||
\(572\) | 10.7372 | + | 9.96265i | 0.448944 | + | 0.416560i | ||||
\(573\) | −4.77691 | + | 63.7435i | −0.199558 | + | 2.66292i | ||||
\(574\) | 12.9560 | + | 33.0112i | 0.540771 | + | 1.37786i | ||||
\(575\) | 4.84764 | + | 21.2389i | 0.202160 | + | 0.885723i | ||||
\(576\) | −90.6976 | − | 27.9765i | −3.77907 | − | 1.16569i | ||||
\(577\) | −7.65292 | + | 5.21767i | −0.318595 | + | 0.217215i | −0.712049 | − | 0.702130i | \(-0.752233\pi\) |
0.393454 | + | 0.919344i | \(0.371280\pi\) | |||||||
\(578\) | 33.1015 | + | 4.98925i | 1.37684 | + | 0.207525i | ||||
\(579\) | 8.75768 | − | 22.3142i | 0.363957 | − | 0.927347i | ||||
\(580\) | −0.0125381 | − | 0.00603803i | −0.000520617 | − | 0.000250716i | ||||
\(581\) | 7.24611 | + | 3.48954i | 0.300619 | + | 0.144771i | ||||
\(582\) | −4.30816 | + | 10.9770i | −0.178579 | + | 0.455012i | ||||
\(583\) | −20.0767 | − | 3.02608i | −0.831493 | − | 0.125327i | ||||
\(584\) | 10.7308 | − | 7.31611i | 0.444042 | − | 0.302743i | ||||
\(585\) | 1.67717 | + | 0.517339i | 0.0693425 | + | 0.0213893i | ||||
\(586\) | 6.62031 | + | 29.0055i | 0.273482 | + | 1.19820i | ||||
\(587\) | 16.5518 | + | 42.1732i | 0.683165 | + | 1.74068i | 0.671792 | + | 0.740740i | \(0.265525\pi\) |
0.0113730 | + | 0.999935i | \(0.496380\pi\) | |||||||
\(588\) | 2.68839 | − | 35.8740i | 0.110867 | − | 1.47942i | ||||
\(589\) | −10.1567 | − | 9.42406i | −0.418500 | − | 0.388311i | ||||
\(590\) | 0.563321 | + | 0.384065i | 0.0231915 | + | 0.0158117i | ||||
\(591\) | −53.2808 | − | 66.8121i | −2.19168 | − | 2.74828i | ||||
\(592\) | 0.00117283 | − | 0.00108823i | 4.82031e−5 | − | 4.47259e-5i | ||||
\(593\) | 7.25881 | − | 1.09409i | 0.298084 | − | 0.0449289i | 0.00170222 | − | 0.999999i | \(-0.499458\pi\) |
0.296381 | + | 0.955070i | \(0.404220\pi\) | |||||||
\(594\) | 18.3947 | − | 80.5926i | 0.754745 | − | 3.30676i | ||||
\(595\) | −0.195852 | + | 0.339226i | −0.00802916 | + | 0.0139069i | ||||
\(596\) | 6.32657 | + | 10.9579i | 0.259147 | + | 0.448855i | ||||
\(597\) | −26.6896 | + | 8.23267i | −1.09233 | + | 0.336941i | ||||
\(598\) | −10.8508 | + | 13.6065i | −0.443722 | + | 0.556410i | ||||
\(599\) | −3.07834 | − | 41.0776i | −0.125778 | − | 1.67838i | −0.601565 | − | 0.798824i | \(-0.705456\pi\) |
0.475787 | − | 0.879560i | \(-0.342163\pi\) | |||||||
\(600\) | −39.3211 | + | 18.9360i | −1.60528 | + | 0.773061i | ||||
\(601\) | 43.4446 | 1.77214 | 0.886072 | − | 0.463548i | \(-0.153424\pi\) | ||||
0.886072 | + | 0.463548i | \(0.153424\pi\) | |||||||
\(602\) | −11.6466 | − | 25.4046i | −0.474681 | − | 1.03541i | ||||
\(603\) | −56.5297 | −2.30207 | ||||||||
\(604\) | 20.8332 | − | 10.0328i | 0.847692 | − | 0.408227i | ||||
\(605\) | 0.0422992 | + | 0.564443i | 0.00171971 | + | 0.0229479i | ||||
\(606\) | −68.7364 | + | 86.1927i | −2.79223 | + | 3.50134i | ||||
\(607\) | 1.26796 | − | 0.391113i | 0.0514648 | − | 0.0158748i | −0.268916 | − | 0.963164i | \(-0.586665\pi\) |
0.320381 | + | 0.947289i | \(0.396189\pi\) | |||||||
\(608\) | −14.3128 | − | 24.7906i | −0.580463 | − | 1.00539i | ||||
\(609\) | 0.0948569 | − | 0.164297i | 0.00384380 | − | 0.00665765i | ||||
\(610\) | −0.848126 | + | 3.71588i | −0.0343396 | + | 0.150452i | ||||
\(611\) | −9.71034 | + | 1.46360i | −0.392838 | + | 0.0592108i | ||||
\(612\) | −26.0537 | + | 24.1743i | −1.05316 | + | 0.977188i | ||||
\(613\) | −21.9817 | − | 27.5641i | −0.887831 | − | 1.11330i | −0.992913 | − | 0.118841i | \(-0.962082\pi\) |
0.105083 | − | 0.994463i | \(-0.466489\pi\) | |||||||
\(614\) | −39.4478 | − | 26.8950i | −1.59198 | − | 1.08540i | ||||
\(615\) | 2.69562 | + | 2.50117i | 0.108698 | + | 0.100857i | ||||
\(616\) | −1.00085 | + | 13.3554i | −0.0403254 | + | 0.538105i | ||||
\(617\) | 10.7690 | + | 27.4390i | 0.433545 | + | 1.10465i | 0.966079 | + | 0.258246i | \(0.0831445\pi\) |
−0.532534 | + | 0.846408i | \(0.678760\pi\) | |||||||
\(618\) | −23.9582 | − | 104.968i | −0.963741 | − | 4.22242i | ||||
\(619\) | 17.1620 | + | 5.29376i | 0.689797 | + | 0.212774i | 0.619785 | − | 0.784772i | \(-0.287220\pi\) |
0.0700125 | + | 0.997546i | \(0.477696\pi\) | |||||||
\(620\) | 1.02998 | − | 0.702228i | 0.0413650 | − | 0.0282022i | ||||
\(621\) | 59.7485 | + | 9.00564i | 2.39763 | + | 0.361384i | ||||
\(622\) | 13.8230 | − | 35.2204i | 0.554252 | − | 1.41221i | ||||
\(623\) | 12.9574 | + | 6.23994i | 0.519126 | + | 0.249998i | ||||
\(624\) | 0.867503 | + | 0.417767i | 0.0347279 | + | 0.0167241i | ||||
\(625\) | 9.02979 | − | 23.0075i | 0.361191 | − | 0.920301i | ||||
\(626\) | 25.2722 | + | 3.80917i | 1.01008 | + | 0.152245i | ||||
\(627\) | 34.0570 | − | 23.2197i | 1.36011 | − | 0.927304i | ||||
\(628\) | 7.72108 | + | 2.38164i | 0.308105 | + | 0.0950378i | ||||
\(629\) | −0.00315290 | − | 0.0138138i | −0.000125715 | − | 0.000550791i | ||||
\(630\) | 1.56570 | + | 3.98934i | 0.0623790 | + | 0.158939i | ||||
\(631\) | 2.35526 | − | 31.4287i | 0.0937613 | − | 1.25116i | −0.729693 | − | 0.683775i | \(-0.760337\pi\) |
0.823454 | − | 0.567382i | \(-0.192044\pi\) | |||||||
\(632\) | 24.0258 | + | 22.2927i | 0.955694 | + | 0.886755i | ||||
\(633\) | 32.8681 | + | 22.4091i | 1.30639 | + | 0.890681i | ||||
\(634\) | 17.7319 | + | 22.2352i | 0.704226 | + | 0.883071i | ||||
\(635\) | −0.0981562 | + | 0.0910757i | −0.00389521 | + | 0.00361423i | ||||
\(636\) | 78.5075 | − | 11.8331i | 3.11303 | − | 0.469213i | ||||
\(637\) | −1.36140 | + | 5.96469i | −0.0539407 | + | 0.236330i | ||||
\(638\) | 0.0945827 | − | 0.163822i | 0.00374457 | − | 0.00648578i | ||||
\(639\) | 47.8654 | + | 82.9053i | 1.89353 | + | 3.27968i | ||||
\(640\) | 2.35799 | − | 0.727343i | 0.0932077 | − | 0.0287508i | ||||
\(641\) | −20.9076 | + | 26.2173i | −0.825801 | + | 1.03552i | 0.172919 | + | 0.984936i | \(0.444680\pi\) |
−0.998720 | + | 0.0505853i | \(0.983891\pi\) | |||||||
\(642\) | −1.87227 | − | 24.9837i | −0.0738925 | − | 0.986027i | ||||
\(643\) | 21.8751 | − | 10.5345i | 0.862671 | − | 0.415440i | 0.0504059 | − | 0.998729i | \(-0.483949\pi\) |
0.812265 | + | 0.583288i | \(0.198234\pi\) | |||||||
\(644\) | −26.1418 | −1.03013 | ||||||||
\(645\) | −2.23106 | − | 1.84942i | −0.0878480 | − | 0.0728210i | ||||
\(646\) | −16.9752 | −0.667881 | ||||||||
\(647\) | 19.8693 | − | 9.56853i | 0.781141 | − | 0.376178i | −0.000425210 | − | 1.00000i | \(-0.500135\pi\) |
0.781566 | + | 0.623822i | \(0.214421\pi\) | |||||||
\(648\) | 4.57643 | + | 61.0682i | 0.179779 | + | 2.39899i | ||||
\(649\) | −3.55472 | + | 4.45747i | −0.139535 | + | 0.174971i | ||||
\(650\) | 18.9399 | − | 5.84219i | 0.742885 | − | 0.229150i | ||||
\(651\) | 8.49708 | + | 14.7174i | 0.333027 | + | 0.576820i | ||||
\(652\) | −21.7550 | + | 37.6807i | −0.851990 | + | 1.47569i | ||||
\(653\) | 4.42019 | − | 19.3661i | 0.172975 | − | 0.757854i | −0.811788 | − | 0.583952i | \(-0.801505\pi\) |
0.984763 | − | 0.173901i | \(-0.0556374\pi\) | |||||||
\(654\) | 19.4909 | − | 2.93777i | 0.762153 | − | 0.114876i | ||||
\(655\) | 0.116987 | − | 0.108548i | 0.00457105 | − | 0.00424131i | ||||
\(656\) | 0.891568 | + | 1.11799i | 0.0348099 | + | 0.0436502i | ||||
\(657\) | 28.7140 | + | 19.5769i | 1.12024 | + | 0.763766i | ||||
\(658\) | −17.5770 | − | 16.3090i | −0.685221 | − | 0.635792i | ||||
\(659\) | 2.26853 | − | 30.2714i | 0.0883693 | − | 1.17921i | −0.760044 | − | 0.649871i | \(-0.774823\pi\) |
0.848413 | − | 0.529334i | \(-0.177558\pi\) | |||||||
\(660\) | 1.35489 | + | 3.45220i | 0.0527390 | + | 0.134377i | ||||
\(661\) | 6.07455 | + | 26.6143i | 0.236273 | + | 1.03518i | 0.944324 | + | 0.329017i | \(0.106717\pi\) |
−0.708051 | + | 0.706161i | \(0.750426\pi\) | |||||||
\(662\) | 9.25644 | + | 2.85523i | 0.359762 | + | 0.110972i | ||||
\(663\) | 7.04540 | − | 4.80347i | 0.273621 | − | 0.186551i | ||||
\(664\) | −11.6118 | − | 1.75019i | −0.450624 | − | 0.0679207i | ||||
\(665\) | −0.460040 | + | 1.17216i | −0.0178396 | + | 0.0454545i | ||||
\(666\) | −0.139669 | − | 0.0672612i | −0.00541208 | − | 0.00260632i | ||||
\(667\) | 0.124576 | + | 0.0599926i | 0.00482360 | + | 0.00232292i | ||||
\(668\) | −5.60962 | + | 14.2931i | −0.217043 | + | 0.553016i | ||||
\(669\) | −81.5345 | − | 12.2894i | −3.15231 | − | 0.475134i | ||||
\(670\) | 2.00709 | − | 1.36841i | 0.0775408 | − | 0.0528664i | ||||
\(671\) | −30.4564 | − | 9.39456i | −1.17576 | − | 0.362673i | ||||
\(672\) | 7.81283 | + | 34.2302i | 0.301386 | + | 1.32046i | ||||
\(673\) | −13.0634 | − | 33.2851i | −0.503558 | − | 1.28304i | −0.926297 | − | 0.376793i | \(-0.877027\pi\) |
0.422739 | − | 0.906251i | \(-0.361069\pi\) | |||||||
\(674\) | 1.63798 | − | 21.8573i | 0.0630925 | − | 0.841910i | ||||
\(675\) | −50.4454 | − | 46.8065i | −1.94165 | − | 1.80158i | ||||
\(676\) | −26.2944 | − | 17.9272i | −1.01132 | − | 0.689508i | ||||
\(677\) | 21.3402 | + | 26.7597i | 0.820169 | + | 1.02846i | 0.999006 | + | 0.0445809i | \(0.0141952\pi\) |
−0.178837 | + | 0.983879i | \(0.557233\pi\) | |||||||
\(678\) | 25.6235 | − | 23.7751i | 0.984064 | − | 0.913078i | ||||
\(679\) | 2.97877 | − | 0.448978i | 0.114315 | − | 0.0172302i | ||||
\(680\) | 0.127266 | − | 0.557587i | 0.00488042 | − | 0.0213825i | ||||
\(681\) | 1.67031 | − | 2.89306i | 0.0640063 | − | 0.110862i | ||||
\(682\) | 8.47252 | + | 14.6748i | 0.324430 | + | 0.561929i | ||||
\(683\) | −35.8880 | + | 11.0700i | −1.37322 | + | 0.423581i | −0.891609 | − | 0.452807i | \(-0.850423\pi\) |
−0.481606 | + | 0.876388i | \(0.659947\pi\) | |||||||
\(684\) | −71.2364 | + | 89.3277i | −2.72379 | + | 3.41553i | ||||
\(685\) | −0.220806 | − | 2.94646i | −0.00843658 | − | 0.112578i | ||||
\(686\) | −40.3380 | + | 19.4258i | −1.54011 | + | 0.741679i | ||||
\(687\) | −24.1441 | −0.921153 | ||||||||
\(688\) | −0.750708 | − | 0.840454i | −0.0286205 | − | 0.0320420i | ||||
\(689\) | −13.5023 | −0.514397 | ||||||||
\(690\) | −3.97001 | + | 1.91186i | −0.151136 | + | 0.0727831i | ||||
\(691\) | −2.19499 | − | 29.2901i | −0.0835013 | − | 1.11425i | −0.868811 | − | 0.495144i | \(-0.835115\pi\) |
0.785309 | − | 0.619104i | \(-0.212504\pi\) | |||||||
\(692\) | 31.8042 | − | 39.8812i | 1.20901 | − | 1.51605i | ||||
\(693\) | −34.2452 | + | 10.5632i | −1.30087 | + | 0.401264i | ||||
\(694\) | −11.3830 | − | 19.7160i | −0.432093 | − | 0.748408i | ||||
\(695\) | −0.856366 | + | 1.48327i | −0.0324838 | + | 0.0562636i | ||||
\(696\) | −0.0616384 | + | 0.270056i | −0.00233640 | + | 0.0102364i | ||||
\(697\) | 12.5224 | − | 1.88744i | 0.474318 | − | 0.0714920i | ||||
\(698\) | 1.05302 | − | 0.977057i | 0.0398573 | − | 0.0369822i | ||||
\(699\) | 6.18577 | + | 7.75671i | 0.233967 | + | 0.293386i | ||||
\(700\) | 24.5993 | + | 16.7715i | 0.929765 | + | 0.633903i | ||||
\(701\) | −12.2960 | − | 11.4090i | −0.464414 | − | 0.430913i | 0.412939 | − | 0.910759i | \(-0.364502\pi\) |
−0.877353 | + | 0.479846i | \(0.840693\pi\) | |||||||
\(702\) | 4.10824 | − | 54.8207i | 0.155056 | − | 2.06907i | ||||
\(703\) | −0.0166409 | − | 0.0424003i | −0.000627623 | − | 0.00159916i | ||||
\(704\) | 7.58951 | + | 33.2518i | 0.286040 | + | 1.25322i | ||||
\(705\) | −2.37589 | − | 0.732864i | −0.0894810 | − | 0.0276012i | ||||
\(706\) | −33.1065 | + | 22.5716i | −1.24598 | + | 0.849494i | ||||
\(707\) | 27.8485 | + | 4.19748i | 1.04735 | + | 0.157862i | ||||
\(708\) | 8.14502 | − | 20.7532i | 0.306109 | − | 0.779952i | ||||
\(709\) | 29.2238 | + | 14.0735i | 1.09752 | + | 0.528540i | 0.892879 | − | 0.450296i | \(-0.148682\pi\) |
0.204645 | + | 0.978836i | \(0.434396\pi\) | |||||||
\(710\) | −3.70635 | − | 1.78488i | −0.139097 | − | 0.0669855i | ||||
\(711\) | −32.0409 | + | 81.6388i | −1.20163 | + | 3.06169i | ||||
\(712\) | −20.7640 | − | 3.12967i | −0.778163 | − | 0.117289i | ||||
\(713\) | −10.2337 | + | 6.97719i | −0.383253 | + | 0.261298i | ||||
\(714\) | 19.8958 | + | 6.13703i | 0.744580 | + | 0.229673i | ||||
\(715\) | −0.140344 | − | 0.614889i | −0.00524859 | − | 0.0229956i | ||||
\(716\) | −18.6136 | − | 47.4266i | −0.695621 | − | 1.77241i | ||||
\(717\) | −2.60169 | + | 34.7172i | −0.0971620 | + | 1.29654i | ||||
\(718\) | 42.3964 | + | 39.3381i | 1.58222 | + | 1.46809i | ||||
\(719\) | 33.2805 | + | 22.6902i | 1.24115 | + | 0.846203i | 0.992483 | − | 0.122386i | \(-0.0390545\pi\) |
0.248669 | + | 0.968589i | \(0.420007\pi\) | |||||||
\(720\) | 0.107744 | + | 0.135107i | 0.00401539 | + | 0.00503513i | ||||
\(721\) | −20.1623 | + | 18.7079i | −0.750883 | + | 0.696718i | ||||
\(722\) | −11.1288 | + | 1.67740i | −0.414172 | + | 0.0624263i | ||||
\(723\) | 5.77425 | − | 25.2987i | 0.214747 | − | 0.940867i | ||||
\(724\) | −33.2533 | + | 57.5964i | −1.23585 | + | 2.14055i | ||||
\(725\) | −0.0787365 | − | 0.136376i | −0.00292420 | − | 0.00506486i | ||||
\(726\) | 28.7500 | − | 8.86821i | 1.06701 | − | 0.329130i | ||||
\(727\) | 6.45140 | − | 8.08980i | 0.239269 | − | 0.300034i | −0.647669 | − | 0.761921i | \(-0.724256\pi\) |
0.886939 | + | 0.461888i | \(0.152828\pi\) | |||||||
\(728\) | 0.665589 | + | 8.88167i | 0.0246684 | + | 0.329176i | ||||
\(729\) | −27.7731 | + | 13.3748i | −1.02863 | + | 0.495364i | ||||
\(730\) | −1.49339 | −0.0552728 | ||||||||
\(731\) | −9.77005 | + | 2.03605i | −0.361358 | + | 0.0753059i | ||||
\(732\) | 124.633 | 4.60657 | ||||||||
\(733\) | −38.8093 | + | 18.6896i | −1.43346 | + | 0.690316i | −0.979637 | − | 0.200779i | \(-0.935653\pi\) |
−0.453819 | + | 0.891094i | \(0.649939\pi\) | |||||||
\(734\) | −2.93997 | − | 39.2312i | −0.108516 | − | 1.44805i | ||||
\(735\) | −0.965816 | + | 1.21109i | −0.0356247 | + | 0.0446719i | ||||
\(736\) | −24.4527 | + | 7.54265i | −0.901338 | + | 0.278026i | ||||
\(737\) | 10.1568 | + | 17.5921i | 0.374131 | + | 0.648014i | ||||
\(738\) | 69.2765 | − | 119.990i | 2.55010 | − | 4.41691i | ||||
\(739\) | 2.09648 | − | 9.18528i | 0.0771202 | − | 0.337886i | −0.921618 | − | 0.388097i | \(-0.873132\pi\) |
0.998739 | + | 0.0502115i | \(0.0159896\pi\) | |||||||
\(740\) | 0.00405233 | 0.000610790i | 0.000148966 | 2.24531e-5i | ||||||
\(741\) | 20.0943 | − | 18.6448i | 0.738183 | − | 0.684934i | ||||
\(742\) | −20.5558 | − | 25.7762i | −0.754627 | − | 0.946272i | ||||
\(743\) | 16.4413 | + | 11.2095i | 0.603173 | + | 0.411236i | 0.826039 | − | 0.563613i | \(-0.190589\pi\) |
−0.222867 | + | 0.974849i | \(0.571541\pi\) | |||||||
\(744\) | −18.1893 | − | 16.8772i | −0.666853 | − | 0.618749i | ||||
\(745\) | 0.0407158 | − | 0.543314i | 0.00149171 | − | 0.0199055i | ||||
\(746\) | −21.4616 | − | 54.6833i | −0.785765 | − | 2.00210i | ||||
\(747\) | −6.99214 | − | 30.6346i | −0.255829 | − | 1.12086i | ||||
\(748\) | 12.2042 | + | 3.76450i | 0.446230 | + | 0.137644i | ||||
\(749\) | −5.28810 | + | 3.60536i | −0.193223 | + | 0.131737i | ||||
\(750\) | 9.94354 | + | 1.49875i | 0.363087 | + | 0.0547265i | ||||
\(751\) | 4.69599 | − | 11.9652i | 0.171359 | − | 0.436616i | −0.819233 | − | 0.573460i | \(-0.805601\pi\) |
0.990593 | + | 0.136844i | \(0.0436960\pi\) | |||||||
\(752\) | −0.871109 | − | 0.419504i | −0.0317661 | − | 0.0152977i | ||||
\(753\) | 21.9313 | + | 10.5615i | 0.799220 | + | 0.384884i | ||||
\(754\) | 0.0459598 | − | 0.117104i | 0.00167376 | − | 0.00426466i | ||||
\(755\) | −0.984549 | − | 0.148397i | −0.0358314 | − | 0.00540072i | ||||
\(756\) | 68.2289 | − | 46.5177i | 2.48146 | − | 1.69183i | ||||
\(757\) | 41.0571 | + | 12.6644i | 1.49224 | + | 0.460297i | 0.930276 | − | 0.366862i | \(-0.119568\pi\) |
0.561969 | + | 0.827158i | \(0.310044\pi\) | |||||||
\(758\) | −10.6725 | − | 46.7593i | −0.387643 | − | 1.69837i | ||||
\(759\) | −13.4619 | − | 34.3003i | −0.488635 | − | 1.24502i | ||||
\(760\) | 0.137396 | − | 1.83342i | 0.00498388 | − | 0.0665052i | ||||
\(761\) | 23.0525 | + | 21.3896i | 0.835652 | + | 0.775371i | 0.976695 | − | 0.214632i | \(-0.0688552\pi\) |
−0.141043 | + | 0.990003i | \(0.545046\pi\) | |||||||
\(762\) | 5.88067 | + | 4.00937i | 0.213034 | + | 0.145244i | ||||
\(763\) | −3.13950 | − | 3.93680i | −0.113657 | − | 0.142522i | ||||
\(764\) | −46.6734 | + | 43.3066i | −1.68858 | + | 1.56678i | ||||
\(765\) | 1.51330 | − | 0.228093i | 0.0547135 | − | 0.00824673i | ||||
\(766\) | −12.2901 | + | 53.8464i | −0.444059 | + | 1.94555i | ||||
\(767\) | −1.89576 | + | 3.28355i | −0.0684519 | + | 0.118562i | ||||
\(768\) | −23.8686 | − | 41.3417i | −0.861285 | − | 1.49179i | ||||
\(769\) | 12.8329 | − | 3.95844i | 0.462767 | − | 0.142745i | −0.0545998 | − | 0.998508i | \(-0.517388\pi\) |
0.517367 | + | 0.855763i | \(0.326912\pi\) | |||||||
\(770\) | 0.960175 | − | 1.20402i | 0.0346023 | − | 0.0433899i | ||||
\(771\) | 0.564748 | + | 7.53604i | 0.0203389 | + | 0.271404i | ||||
\(772\) | 21.5121 | − | 10.3597i | 0.774238 | − | 0.372853i | ||||
\(773\) | 38.3879 | 1.38072 | 0.690358 | − | 0.723468i | \(-0.257453\pi\) | ||||
0.690358 | + | 0.723468i | \(0.257453\pi\) | |||||||
\(774\) | −49.2304 | + | 97.4611i | −1.76955 | + | 3.50317i | ||||
\(775\) | 14.1061 | 0.506706 | ||||||||
\(776\) | −3.96284 | + | 1.90840i | −0.142258 | + | 0.0685077i | ||||
\(777\) | 0.00417498 | + | 0.0557113i | 0.000149777 | + | 0.00199863i | ||||
\(778\) | −43.0688 | + | 54.0065i | −1.54409 | + | 1.93623i | ||||
\(779\) | 38.9015 | − | 11.9995i | 1.39379 | − | 0.429927i | ||||
\(780\) | 1.23314 | + | 2.13586i | 0.0441535 | + | 0.0764762i | ||||
\(781\) | 17.2002 | − | 29.7915i | 0.615470 | − | 1.06602i | ||||
\(782\) | −3.37670 | + | 14.7943i | −0.120751 | + | 0.529043i | ||||
\(783\) | −0.431891 | + | 0.0650971i | −0.0154345 | + | 0.00232638i | ||||
\(784\) | −0.441571 | + | 0.409718i | −0.0157704 | + | 0.0146328i | ||||
\(785\) | −0.216926 | − | 0.272017i | −0.00774244 | − | 0.00970871i | ||||
\(786\) | −7.00883 | − | 4.77854i | −0.249997 | − | 0.170445i | ||||
\(787\) | −18.4616 | − | 17.1298i | −0.658084 | − | 0.610613i | 0.278760 | − | 0.960361i | \(-0.410077\pi\) |
−0.936844 | + | 0.349748i | \(0.886267\pi\) | |||||||
\(788\) | 6.36092 | − | 84.8806i | 0.226598 | − | 3.02374i | ||||
\(789\) | 22.1429 | + | 56.4192i | 0.788309 | + | 2.00858i | ||||
\(790\) | −0.838613 | − | 3.67420i | −0.0298365 | − | 0.130722i | ||||
\(791\) | −8.53275 | − | 2.63200i | −0.303390 | − | 0.0935833i | ||||
\(792\) | 43.2338 | − | 29.4763i | 1.53625 | − | 1.04739i | ||||
\(793\) | −20.9592 | − | 3.15909i | −0.744283 | − | 0.112183i | ||||
\(794\) | 1.41879 | − | 3.61501i | 0.0503509 | − | 0.128292i | ||||
\(795\) | −3.08012 | − | 1.48331i | −0.109241 | − | 0.0526075i | ||||
\(796\) | −25.0652 | − | 12.0708i | −0.888413 | − | 0.427837i | ||||
\(797\) | −2.69046 | + | 6.85518i | −0.0953010 | + | 0.242823i | −0.970573 | − | 0.240809i | \(-0.922587\pi\) |
0.875272 | + | 0.483632i | \(0.160683\pi\) | |||||||
\(798\) | 66.1846 | + | 9.97572i | 2.34291 | + | 0.353137i | ||||
\(799\) | −7.07469 | + | 4.82344i | −0.250285 | + | 0.170641i | ||||
\(800\) | 27.8489 | + | 8.59025i | 0.984608 | + | 0.303711i | ||||
\(801\) | −12.5032 | − | 54.7803i | −0.441780 | − | 1.93557i | ||||
\(802\) | −0.00712618 | − | 0.0181572i | −0.000251634 | − | 0.000641154i | ||||
\(803\) | 0.933241 | − | 12.4532i | 0.0329334 | − | 0.439465i | ||||
\(804\) | −58.2291 | − | 54.0287i | −2.05358 | − | 1.90545i | ||||
\(805\) | 0.930056 | + | 0.634101i | 0.0327802 | + | 0.0223491i | ||||
\(806\) | 7.02602 | + | 8.81035i | 0.247481 | + | 0.310331i | ||||
\(807\) | −27.1385 | + | 25.1808i | −0.955320 | + | 0.886408i | ||||
\(808\) | −40.6614 | + | 6.12873i | −1.43046 | + | 0.215608i | ||||
\(809\) | 3.53148 | − | 15.4724i | 0.124160 | − | 0.543982i | −0.874139 | − | 0.485677i | \(-0.838573\pi\) |
0.998299 | − | 0.0583050i | \(-0.0185696\pi\) | |||||||
\(810\) | 3.52086 | − | 6.09832i | 0.123711 | − | 0.214273i | ||||
\(811\) | −3.79475 | − | 6.57271i | −0.133252 | − | 0.230799i | 0.791676 | − | 0.610941i | \(-0.209209\pi\) |
−0.924928 | + | 0.380142i | \(0.875875\pi\) | |||||||
\(812\) | 0.180570 | − | 0.0556984i | 0.00633676 | − | 0.00195463i | ||||
\(813\) | 38.6687 | − | 48.4890i | 1.35617 | − | 1.70058i | ||||
\(814\) | 0.00416292 | + | 0.0555503i | 0.000145910 | + | 0.00194704i | ||||
\(815\) | 1.68798 | − | 0.812887i | 0.0591273 | − | 0.0284742i | ||||
\(816\) | 0.839558 | 0.0293904 | ||||||||
\(817\) | −30.0813 | + | 11.1532i | −1.05241 | + | 0.390201i | ||||
\(818\) | −68.5582 | −2.39708 | ||||||||
\(819\) | −21.4725 | + | 10.3406i | −0.750311 | + | 0.361331i | ||||
\(820\) | 0.273717 | + | 3.65250i | 0.00955862 | + | 0.127551i | ||||
\(821\) | 27.3252 | − | 34.2647i | 0.953656 | − | 1.19585i | −0.0269059 | − | 0.999638i | \(-0.508565\pi\) |
0.980562 | − | 0.196209i | \(-0.0628631\pi\) | |||||||
\(822\) | −150.078 | + | 46.2930i | −5.23458 | + | 1.61465i | ||||
\(823\) | 17.9751 | + | 31.1337i | 0.626571 | + | 1.08525i | 0.988235 | + | 0.152944i | \(0.0488754\pi\) |
−0.361664 | + | 0.932309i | \(0.617791\pi\) | |||||||
\(824\) | 20.0797 | − | 34.7790i | 0.699509 | − | 1.21159i | ||||
\(825\) | −9.33813 | + | 40.9130i | −0.325112 | + | 1.42441i | ||||
\(826\) | −9.15443 | + | 1.37981i | −0.318524 | + | 0.0480097i | ||||
\(827\) | 6.21862 | − | 5.77004i | 0.216243 | − | 0.200644i | −0.564612 | − | 0.825356i | \(-0.690974\pi\) |
0.780855 | + | 0.624712i | \(0.214784\pi\) | |||||||
\(828\) | 63.6808 | + | 79.8532i | 2.21306 | + | 2.77509i | ||||
\(829\) | −29.7636 | − | 20.2925i | −1.03373 | − | 0.704787i | −0.0773800 | − | 0.997002i | \(-0.524655\pi\) |
−0.956353 | + | 0.292215i | \(0.905608\pi\) | |||||||
\(830\) | 0.989827 | + | 0.918425i | 0.0343574 | + | 0.0318790i | ||||
\(831\) | −1.75081 | + | 23.3630i | −0.0607350 | + | 0.810452i | ||||
\(832\) | 8.28664 | + | 21.1140i | 0.287288 | + | 0.731997i | ||||
\(833\) | 1.18707 | + | 5.20089i | 0.0411295 | + | 0.180200i | ||||
\(834\) | 86.9943 | + | 26.8342i | 3.01237 | + | 0.929192i | ||||
\(835\) | 0.546272 | − | 0.372442i | 0.0189045 | − | 0.0128889i | ||||
\(836\) | 40.5981 | + | 6.11918i | 1.40411 | + | 0.211636i | ||||
\(837\) | 14.2939 | − | 36.4203i | 0.494070 | − | 1.25887i | ||||
\(838\) | −20.3994 | − | 9.82385i | −0.704687 | − | 0.339359i | ||||
\(839\) | 16.7403 | + | 8.06171i | 0.577940 | + | 0.278321i | 0.699931 | − | 0.714210i | \(-0.253214\pi\) |
−0.121992 | + | 0.992531i | \(0.538928\pi\) | |||||||
\(840\) | −0.823869 | + | 2.09918i | −0.0284262 | + | 0.0724288i | ||||
\(841\) | 28.6751 | + | 4.32208i | 0.988797 | + | 0.149037i | ||||
\(842\) | −20.8317 | + | 14.2028i | −0.717908 | + | 0.489461i | ||||
\(843\) | −32.2452 | − | 9.94632i | −1.11058 | − | 0.342569i | ||||
\(844\) | 8.81703 | + | 38.6300i | 0.303495 | + | 1.32970i | ||||
\(845\) | 0.500639 | + | 1.27561i | 0.0172225 | + | 0.0438822i | ||||
\(846\) | −7.00082 | + | 93.4195i | −0.240693 | + | 3.21183i | ||||
\(847\) | −5.63418 | − | 5.22775i | −0.193593 | − | 0.179628i | ||||
\(848\) | −1.09841 | − | 0.748883i | −0.0377195 | − | 0.0257168i | ||||
\(849\) | −48.6205 | − | 60.9682i | −1.66865 | − | 2.09242i | ||||
\(850\) | 12.6689 | − | 11.7550i | 0.434539 | − | 0.403193i | ||||
\(851\) | −0.0402630 | + | 0.00606868i | −0.00138020 | + | 0.000208032i | ||||
\(852\) | −29.9331 | + | 131.145i | −1.02549 | + | 4.49297i | ||||
\(853\) | 18.6697 | − | 32.3368i | 0.639237 | − | 1.10719i | −0.346363 | − | 0.938100i | \(-0.612584\pi\) |
0.985600 | − | 0.169091i | \(-0.0540831\pi\) | |||||||
\(854\) | −25.8773 | − | 44.8208i | −0.885503 | − | 1.53374i | ||||
\(855\) | 4.70116 | − | 1.45012i | 0.160776 | − | 0.0495929i | ||||
\(856\) | 5.82646 | − | 7.30615i | 0.199144 | − | 0.249719i | ||||
\(857\) | 1.71666 | + | 22.9072i | 0.0586400 | + | 0.782496i | 0.946566 | + | 0.322510i | \(0.104527\pi\) |
−0.887926 | + | 0.459986i | \(0.847854\pi\) | |||||||
\(858\) | −30.2045 | + | 14.5457i | −1.03117 | + | 0.496583i | ||||
\(859\) | −33.6996 | −1.14981 | −0.574907 | − | 0.818218i | \(-0.694962\pi\) | ||||
−0.574907 | + | 0.818218i | \(0.694962\pi\) | |||||||
\(860\) | −0.376067 | − | 2.86189i | −0.0128238 | − | 0.0975897i | ||||
\(861\) | −49.9325 | −1.70170 | ||||||||
\(862\) | 50.8931 | − | 24.5088i | 1.73342 | − | 0.834773i | ||||
\(863\) | 1.79838 | + | 23.9977i | 0.0612175 | + | 0.816890i | 0.940327 | + | 0.340271i | \(0.110519\pi\) |
−0.879110 | + | 0.476619i | \(0.841862\pi\) | |||||||
\(864\) | 50.3987 | − | 63.1980i | 1.71460 | − | 2.15004i | ||||
\(865\) | −2.09888 | + | 0.647418i | −0.0713640 | + | 0.0220129i | ||||
\(866\) | 7.20942 | + | 12.4871i | 0.244986 | + | 0.424329i | ||||
\(867\) | −23.5672 | + | 40.8196i | −0.800384 | + | 1.38631i | ||||
\(868\) | −3.76663 | + | 16.5027i | −0.127848 | + | 0.560138i | ||||
\(869\) | 31.1629 | − | 4.69706i | 1.05713 | − | 0.159337i | ||||
\(870\) | 0.0233487 | − | 0.0216645i | 0.000791596 | − | 0.000734494i | ||||
\(871\) | 8.42276 | + | 10.5618i | 0.285394 | + | 0.357873i | ||||
\(872\) | 6.07460 | + | 4.14159i | 0.205712 | + | 0.140252i | ||||
\(873\) | −8.62769 | − | 8.00532i | −0.292003 | − | 0.270939i | ||||
\(874\) | −3.64549 | + | 48.6457i | −0.123310 | + | 1.64546i | ||||
\(875\) | −0.938511 | − | 2.39129i | −0.0317274 | − | 0.0808402i | ||||
\(876\) | 10.8664 | + | 47.6090i | 0.367143 | + | 1.60856i | ||||
\(877\) | −12.0891 | − | 3.72899i | −0.408219 | − | 0.125919i | 0.0838430 | − | 0.996479i | \(-0.473281\pi\) |
−0.492062 | + | 0.870560i | \(0.663757\pi\) | |||||||
\(878\) | 74.6619 | − | 50.9036i | 2.51972 | − | 1.71791i | ||||
\(879\) | −41.4230 | − | 6.24351i | −1.39716 | − | 0.210589i | ||||
\(880\) | 0.0226868 | − | 0.0578050i | 0.000764772 | − | 0.00194861i | ||||
\(881\) | −18.7615 | − | 9.03507i | −0.632091 | − | 0.304399i | 0.0902676 | − | 0.995918i | \(-0.471228\pi\) |
−0.722359 | + | 0.691518i | \(0.756942\pi\) | |||||||
\(882\) | 52.5855 | + | 25.3239i | 1.77065 | + | 0.852699i | ||||
\(883\) | −1.32068 | + | 3.36505i | −0.0444446 | + | 0.113243i | −0.951372 | − | 0.308043i | \(-0.900326\pi\) |
0.906928 | + | 0.421286i | \(0.138421\pi\) | |||||||
\(884\) | 8.39856 | + | 1.26588i | 0.282474 | + | 0.0425761i | ||||
\(885\) | −0.793173 | + | 0.540776i | −0.0266622 | + | 0.0181780i | ||||
\(886\) | −11.3655 | − | 3.50579i | −0.381831 | − | 0.117779i | ||||
\(887\) | −5.85418 | − | 25.6488i | −0.196564 | − | 0.861204i | −0.972963 | − | 0.230962i | \(-0.925813\pi\) |
0.776399 | − | 0.630242i | \(-0.217044\pi\) | |||||||
\(888\) | −0.0298016 | − | 0.0759332i | −0.00100008 | − | 0.00254815i | ||||
\(889\) | 0.135875 | − | 1.81312i | 0.00455709 | − | 0.0608101i | ||||
\(890\) | 1.76999 | + | 1.64231i | 0.0593303 | + | 0.0550505i | ||||
\(891\) | 48.6531 | + | 33.1711i | 1.62994 | + | 1.11127i | ||||
\(892\) | −51.2073 | − | 64.2119i | −1.71455 | − | 2.14997i | ||||
\(893\) | −20.1778 | + | 18.7223i | −0.675226 | + | 0.626518i | ||||
\(894\) | −28.6370 | + | 4.31633i | −0.957764 | + | 0.144360i | ||||
\(895\) | −0.488169 | + | 2.13881i | −0.0163177 | + | 0.0714925i | ||||
\(896\) | −16.7536 | + | 29.0180i | −0.559697 | + | 0.969424i | ||||
\(897\) | −12.2522 | − | 21.2215i | −0.409090 | − | 0.708564i | ||||
\(898\) | 39.6416 | − | 12.2278i | 1.32286 | − | 0.408047i | ||||
\(899\) | 0.0558215 | − | 0.0699979i | 0.00186175 | − | 0.00233456i | ||||
\(900\) | −8.69274 | − | 115.997i | −0.289758 | − | 3.86655i | ||||
\(901\) | −10.6074 | + | 5.10824i | −0.353383 | + | 0.170180i | ||||
\(902\) | −49.7882 | −1.65777 | ||||||||
\(903\) | 39.2889 | − | 2.19683i | 1.30745 | − | 0.0731058i | ||||
\(904\) | 13.0379 | 0.433633 | ||||||||
\(905\) | 2.58014 | − | 1.24253i | 0.0857667 | − | 0.0413031i | ||||
\(906\) | 3.95502 | + | 52.7761i | 0.131397 | + | 1.75337i | ||||
\(907\) | 11.1504 | − | 13.9822i | 0.370244 | − | 0.464271i | −0.561452 | − | 0.827509i | \(-0.689757\pi\) |
0.931697 | + | 0.363238i | \(0.118329\pi\) | |||||||
\(908\) | 3.17960 | − | 0.980777i | 0.105519 | − | 0.0325482i | ||||
\(909\) | −55.0166 | − | 95.2915i | −1.82478 | − | 3.16062i | ||||
\(910\) | 0.512069 | − | 0.886929i | 0.0169749 | − | 0.0294014i | ||||
\(911\) | 2.88990 | − | 12.6615i | 0.0957467 | − | 0.419494i | −0.904225 | − | 0.427057i | \(-0.859550\pi\) |
0.999971 | + | 0.00756337i | \(0.00240752\pi\) | |||||||
\(912\) | 2.66877 | − | 0.402252i | 0.0883717 | − | 0.0133199i | ||||
\(913\) | −8.27723 | + | 7.68014i | −0.273936 | + | 0.254176i | ||||
\(914\) | 23.7047 | + | 29.7248i | 0.784083 | + | 0.983208i | ||||
\(915\) | −4.43412 | − | 3.02313i | −0.146588 | − | 0.0999417i | ||||
\(916\) | −17.6290 | − | 16.3573i | −0.582478 | − | 0.540461i | ||||
\(917\) | −0.161941 | + | 2.16095i | −0.00534776 | + | 0.0713610i | ||||
\(918\) | −17.5125 | − | 44.6211i | −0.577999 | − | 1.47272i | ||||
\(919\) | −0.249600 | − | 1.09357i | −0.00823353 | − | 0.0360735i | 0.970644 | − | 0.240520i | \(-0.0773178\pi\) |
−0.978878 | + | 0.204446i | \(0.934461\pi\) | |||||||
\(920\) | −1.57054 | − | 0.484447i | −0.0517792 | − | 0.0159718i | ||||
\(921\) | 55.5437 | − | 37.8691i | 1.83023 | − | 1.24783i | ||||
\(922\) | 53.7721 | + | 8.10484i | 1.77089 | + | 0.266919i | ||||
\(923\) | 8.35792 | − | 21.2956i | 0.275104 | − | 0.700954i | ||||
\(924\) | −45.3706 | − | 21.8493i | −1.49258 | − | 0.718790i | ||||
\(925\) | 0.0417807 | + | 0.0201205i | 0.00137374 | + | 0.000661559i | ||||
\(926\) | 23.8883 | − | 60.8663i | 0.785017 | − | 2.00019i | ||||
\(927\) | 106.260 | + | 16.0162i | 3.49005 | + | 0.526041i | ||||
\(928\) | 0.152832 | − | 0.104199i | 0.00501696 | − | 0.00342051i | ||||
\(929\) | −47.8715 | − | 14.7664i | −1.57061 | − | 0.484469i | −0.617368 | − | 0.786674i | \(-0.711801\pi\) |
−0.953243 | + | 0.302205i | \(0.902277\pi\) | |||||||
\(930\) | 0.634893 | + | 2.78165i | 0.0208190 | + | 0.0912138i | ||||
\(931\) | 6.26530 | + | 15.9637i | 0.205337 | + | 0.523190i | ||||
\(932\) | −0.738486 | + | 9.85441i | −0.0241899 | + | 0.322792i | ||||
\(933\) | 39.0527 | + | 36.2356i | 1.27853 | + | 1.18630i | ||||
\(934\) | 52.8422 | + | 36.0272i | 1.72905 | + | 1.17885i | ||||
\(935\) | −0.342881 | − | 0.429959i | −0.0112134 | − | 0.0140612i | ||||
\(936\) | 25.5088 | − | 23.6687i | 0.833780 | − | 0.773635i | ||||
\(937\) | 20.4324 | − | 3.07969i | 0.667498 | − | 0.100609i | 0.193453 | − | 0.981110i | \(-0.438031\pi\) |
0.474045 | + | 0.880500i | \(0.342793\pi\) | |||||||
\(938\) | −7.33994 | + | 32.1584i | −0.239657 | + | 1.05001i | ||||
\(939\) | −17.9930 | + | 31.1647i | −0.587178 | + | 1.01702i | ||||
\(940\) | −1.23827 | − | 2.14474i | −0.0403878 | − | 0.0699538i | ||||
\(941\) | −16.7033 | + | 5.15228i | −0.544511 | + | 0.167960i | −0.554794 | − | 0.831988i | \(-0.687203\pi\) |
0.0102828 | + | 0.999947i | \(0.496727\pi\) | |||||||
\(942\) | −11.5306 | + | 14.4589i | −0.375686 | + | 0.471095i | ||||
\(943\) | −2.71960 | − | 36.2905i | −0.0885622 | − | 1.18178i | ||||
\(944\) | −0.336336 | + | 0.161971i | −0.0109468 | + | 0.00527170i | ||||
\(945\) | −3.55575 | −0.115669 | ||||||||
\(946\) | 39.1753 | − | 2.19048i | 1.27370 | − | 0.0712186i | ||||
\(947\) | −18.8409 | −0.612246 | −0.306123 | − | 0.951992i | \(-0.599032\pi\) | ||||
−0.306123 | + | 0.951992i | \(0.599032\pi\) | |||||||
\(948\) | −111.031 | + | 53.4697i | −3.60612 | + | 1.73662i | ||||
\(949\) | −0.620628 | − | 8.28170i | −0.0201464 | − | 0.268836i | ||||
\(950\) | 34.6395 | − | 43.4365i | 1.12385 | − | 1.40927i | ||||
\(951\) | −38.2651 | + | 11.8032i | −1.24083 | + | 0.382746i | ||||
\(952\) | 3.88302 | + | 6.72559i | 0.125849 | + | 0.217978i | ||||
\(953\) | −21.6598 | + | 37.5158i | −0.701629 | + | 1.21526i | 0.266266 | + | 0.963900i | \(0.414210\pi\) |
−0.967894 | + | 0.251357i | \(0.919123\pi\) | |||||||
\(954\) | −28.6629 | + | 125.580i | −0.927996 | + | 4.06582i | ||||
\(955\) | 2.71097 | − | 0.408613i | 0.0877250 | − | 0.0132224i | ||||
\(956\) | −25.4201 | + | 23.5864i | −0.822146 | + | 0.762840i | ||||
\(957\) | 0.166067 | + | 0.208242i | 0.00536819 | + | 0.00673149i | ||||
\(958\) | −19.6182 | − | 13.3754i | −0.633834 | − | 0.432141i | ||||
\(959\) | 29.4110 | + | 27.2894i | 0.949732 | + | 0.881222i | ||||
\(960\) | −0.429166 | + | 5.72682i | −0.0138513 | + | 0.184832i | ||||
\(961\) | −8.39555 | − | 21.3915i | −0.270824 | − | 0.690049i | ||||
\(962\) | 0.00824348 | + | 0.0361170i | 0.000265780 | + | 0.00116446i | ||||
\(963\) | 23.8947 | + | 7.37055i | 0.769997 | + | 0.237513i | ||||
\(964\) | 21.3557 | − | 14.5600i | 0.687820 | − | 0.468948i | ||||
\(965\) | −1.01663 | − | 0.153233i | −0.0327266 | − | 0.00493273i | ||||
\(966\) | 21.8595 | − | 55.6970i | 0.703317 | − | 1.79202i | ||||
\(967\) | −2.47075 | − | 1.18985i | −0.0794539 | − | 0.0382630i | 0.393735 | − | 0.919224i | \(-0.371183\pi\) |
−0.473189 | + | 0.880961i | \(0.656897\pi\) | |||||||
\(968\) | 10.1108 | + | 4.86913i | 0.324975 | + | 0.156500i | ||||
\(969\) | 8.73225 | − | 22.2494i | 0.280520 | − | 0.714754i | ||||
\(970\) | 0.500111 | + | 0.0753797i | 0.0160576 | + | 0.00242030i | ||||
\(971\) | 17.9311 | − | 12.2252i | 0.575435 | − | 0.392325i | −0.240345 | − | 0.970688i | \(-0.577260\pi\) |
0.815780 | + | 0.578362i | \(0.196308\pi\) | |||||||
\(972\) | −93.4028 | − | 28.8109i | −2.99590 | − | 0.924111i | ||||
\(973\) | −5.17511 | − | 22.6736i | −0.165906 | − | 0.726884i | ||||
\(974\) | 10.7139 | + | 27.2984i | 0.343294 | + | 0.874699i | ||||
\(975\) | −2.08556 | + | 27.8298i | −0.0667913 | + | 0.891268i | ||||
\(976\) | −1.52981 | − | 1.41946i | −0.0489680 | − | 0.0454357i | ||||
\(977\) | −28.6496 | − | 19.5329i | −0.916581 | − | 0.624914i | 0.0104311 | − | 0.999946i | \(-0.496680\pi\) |
−0.927012 | + | 0.375031i | \(0.877632\pi\) | |||||||
\(978\) | −62.0904 | − | 77.8589i | −1.98543 | − | 2.48965i | ||||
\(979\) | −14.8012 | + | 13.7335i | −0.473048 | + | 0.438925i | ||||
\(980\) | −1.52570 | + | 0.229963i | −0.0487368 | + | 0.00734588i | ||||
\(981\) | −4.37770 | + | 19.1800i | −0.139769 | + | 0.612369i | ||||
\(982\) | 19.5549 | − | 33.8700i | 0.624021 | − | 1.08084i | ||||
\(983\) | 7.75696 | + | 13.4354i | 0.247409 | + | 0.428524i | 0.962806 | − | 0.270193i | \(-0.0870877\pi\) |
−0.715397 | + | 0.698718i | \(0.753754\pi\) | |||||||
\(984\) | 69.6673 | − | 21.4895i | 2.22091 | − | 0.685061i | ||||
\(985\) | −2.28519 | + | 2.86554i | −0.0728122 | + | 0.0913036i | ||||
\(986\) | −0.00819718 | − | 0.109384i | −0.000261051 | − | 0.00348349i | ||||
\(987\) | 30.4180 | − | 14.6485i | 0.968216 | − | 0.466268i | ||||
\(988\) | 27.3037 | 0.868645 | ||||||||
\(989\) | 3.73652 | + | 28.4351i | 0.118814 | + | 0.904185i | ||||
\(990\) | −6.01680 | −0.191226 | ||||||||
\(991\) | −0.530674 | + | 0.255559i | −0.0168574 | + | 0.00811810i | −0.442293 | − | 0.896870i | \(-0.645835\pi\) |
0.425436 | + | 0.904988i | \(0.360121\pi\) | |||||||
\(992\) | 1.23824 | + | 16.5232i | 0.0393142 | + | 0.524612i | ||||
\(993\) | −8.50397 | + | 10.6636i | −0.269865 | + | 0.338401i | ||||
\(994\) | 53.3777 | − | 16.4648i | 1.69304 | − | 0.522233i | ||||
\(995\) | 0.598963 | + | 1.03743i | 0.0189884 | + | 0.0328889i | ||||
\(996\) | 22.0769 | − | 38.2383i | 0.699534 | − | 1.21163i | ||||
\(997\) | −8.85923 | + | 38.8148i | −0.280575 | + | 1.22928i | 0.616484 | + | 0.787367i | \(0.288556\pi\) |
−0.897059 | + | 0.441911i | \(0.854301\pi\) | |||||||
\(998\) | −59.4279 | + | 8.95732i | −1.88116 | + | 0.283539i | ||||
\(999\) | 0.0942860 | − | 0.0874846i | 0.00298308 | − | 0.00276789i |
(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 | 43.2.g.a.14.1 | ✓ | 36 | |
3.2 | odd | 2 | 387.2.y.c.100.3 | 36 | |||
4.3 | odd | 2 | 688.2.bg.c.401.3 | 36 | |||
43.13 | even | 21 | 1849.2.a.n.1.17 | 18 | |||
43.30 | odd | 42 | 1849.2.a.o.1.2 | 18 | |||
43.40 | even | 21 | inner | 43.2.g.a.40.1 | yes | 36 | |
129.83 | odd | 42 | 387.2.y.c.298.3 | 36 | |||
172.83 | odd | 42 | 688.2.bg.c.513.3 | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.2.g.a.14.1 | ✓ | 36 | 1.1 | even | 1 | trivial | |
43.2.g.a.40.1 | yes | 36 | 43.40 | even | 21 | inner | |
387.2.y.c.100.3 | 36 | 3.2 | odd | 2 | |||
387.2.y.c.298.3 | 36 | 129.83 | odd | 42 | |||
688.2.bg.c.401.3 | 36 | 4.3 | odd | 2 | |||
688.2.bg.c.513.3 | 36 | 172.83 | odd | 42 | |||
1849.2.a.n.1.17 | 18 | 43.13 | even | 21 | |||
1849.2.a.o.1.2 | 18 | 43.30 | odd | 42 |