Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(11,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.18 | ||
Character | \(\chi\) | \(=\) | 175.11 |
Dual form | 175.2.q.a.16.18 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{4}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.44336 | + | 1.08785i | 1.72771 | + | 0.769227i | 0.996171 | + | 0.0874316i | \(0.0278659\pi\) |
0.731543 | + | 0.681796i | \(0.238801\pi\) | |||||||
\(3\) | −1.77288 | − | 1.96899i | −1.02357 | − | 1.13679i | −0.990524 | − | 0.137341i | \(-0.956145\pi\) |
−0.0330503 | − | 0.999454i | \(-0.510522\pi\) | |||||||
\(4\) | 3.44830 | + | 3.82973i | 1.72415 | + | 1.91486i | ||||
\(5\) | 1.66349 | + | 1.49426i | 0.743935 | + | 0.668252i | ||||
\(6\) | −2.18982 | − | 6.73956i | −0.893989 | − | 2.75142i | ||||
\(7\) | −1.54320 | − | 2.14908i | −0.583273 | − | 0.812276i | ||||
\(8\) | 2.60627 | + | 8.02126i | 0.921454 | + | 2.83594i | ||||
\(9\) | −0.420206 | + | 3.99799i | −0.140069 | + | 1.33266i | ||||
\(10\) | 2.43896 | + | 5.46063i | 0.771268 | + | 1.72680i | ||||
\(11\) | −0.154651 | − | 1.47141i | −0.0466291 | − | 0.443647i | −0.992783 | − | 0.119928i | \(-0.961734\pi\) |
0.946153 | − | 0.323718i | \(-0.104933\pi\) | |||||||
\(12\) | 1.42724 | − | 13.5793i | 0.412010 | − | 3.92001i | ||||
\(13\) | −1.25761 | − | 0.913707i | −0.348798 | − | 0.253417i | 0.399567 | − | 0.916704i | \(-0.369161\pi\) |
−0.748365 | + | 0.663288i | \(0.769161\pi\) | |||||||
\(14\) | −1.43270 | − | 6.92974i | −0.382904 | − | 1.85205i | ||||
\(15\) | −0.00700050 | − | 5.92453i | −0.00180752 | − | 1.52971i | ||||
\(16\) | −1.28056 | + | 12.1837i | −0.320139 | + | 3.04592i | ||||
\(17\) | −1.63322 | − | 0.347152i | −0.396115 | − | 0.0841968i | 0.00554753 | − | 0.999985i | \(-0.498234\pi\) |
−0.401662 | + | 0.915788i | \(0.631567\pi\) | |||||||
\(18\) | −5.37594 | + | 9.31140i | −1.26712 | + | 2.19472i | ||||
\(19\) | −2.28829 | + | 2.54141i | −0.524970 | + | 0.583038i | −0.946064 | − | 0.323978i | \(-0.894979\pi\) |
0.421094 | + | 0.907017i | \(0.361646\pi\) | |||||||
\(20\) | 0.0136161 | + | 11.5234i | 0.00304466 | + | 2.57670i | ||||
\(21\) | −1.49560 | + | 6.84860i | −0.326367 | + | 1.49449i | ||||
\(22\) | 1.22281 | − | 3.76341i | 0.260703 | − | 0.802362i | ||||
\(23\) | −7.14800 | − | 3.18250i | −1.49046 | − | 0.663596i | −0.509976 | − | 0.860189i | \(-0.670346\pi\) |
−0.980485 | + | 0.196592i | \(0.937012\pi\) | |||||||
\(24\) | 11.1731 | − | 19.3525i | 2.28071 | − | 3.95030i | ||||
\(25\) | 0.534392 | + | 4.97136i | 0.106878 | + | 0.994272i | ||||
\(26\) | −2.07881 | − | 3.60060i | −0.407688 | − | 0.706136i | ||||
\(27\) | 2.18642 | − | 1.58853i | 0.420777 | − | 0.305712i | ||||
\(28\) | 2.90898 | − | 13.3207i | 0.549746 | − | 2.51738i | ||||
\(29\) | 1.58398 | − | 4.87498i | 0.294137 | − | 0.905261i | −0.689373 | − | 0.724407i | \(-0.742114\pi\) |
0.983510 | − | 0.180854i | \(-0.0578863\pi\) | |||||||
\(30\) | 6.42790 | − | 14.4833i | 1.17357 | − | 2.64428i | ||||
\(31\) | 3.37687 | + | 0.717775i | 0.606503 | + | 0.128916i | 0.500919 | − | 0.865494i | \(-0.332995\pi\) |
0.105584 | + | 0.994410i | \(0.466329\pi\) | |||||||
\(32\) | −7.94883 | + | 13.7678i | −1.40517 | + | 2.43382i | ||||
\(33\) | −2.62300 | + | 2.91314i | −0.456606 | + | 0.507113i | ||||
\(34\) | −3.61290 | − | 2.62492i | −0.619606 | − | 0.450170i | ||||
\(35\) | 0.644188 | − | 5.88090i | 0.108888 | − | 0.994054i | ||||
\(36\) | −16.7602 | + | 12.1770i | −2.79337 | + | 2.02950i | ||||
\(37\) | 0.164305 | − | 1.56326i | 0.0270115 | − | 0.256998i | −0.972680 | − | 0.232151i | \(-0.925424\pi\) |
0.999691 | − | 0.0248466i | \(-0.00790972\pi\) | |||||||
\(38\) | −8.35578 | + | 3.72023i | −1.35549 | + | 0.603502i | ||||
\(39\) | 0.430518 | + | 4.09611i | 0.0689381 | + | 0.655902i | ||||
\(40\) | −7.65033 | + | 17.2377i | −1.20962 | + | 2.72552i | ||||
\(41\) | 4.68976 | + | 3.40731i | 0.732417 | + | 0.532132i | 0.890327 | − | 0.455321i | \(-0.150476\pi\) |
−0.157910 | + | 0.987453i | \(0.550476\pi\) | |||||||
\(42\) | −11.1045 | + | 15.1066i | −1.71347 | + | 2.33099i | ||||
\(43\) | 2.91914 | 0.445165 | 0.222583 | − | 0.974914i | \(-0.428551\pi\) | ||||
0.222583 | + | 0.974914i | \(0.428551\pi\) | |||||||
\(44\) | 5.10181 | − | 5.66614i | 0.769127 | − | 0.854202i | ||||
\(45\) | −6.67304 | + | 6.02272i | −0.994758 | + | 0.897815i | ||||
\(46\) | −14.0030 | − | 15.5519i | −2.06463 | − | 2.29301i | ||||
\(47\) | 10.1392 | − | 2.15516i | 1.47896 | − | 0.314362i | 0.603385 | − | 0.797450i | \(-0.293818\pi\) |
0.875572 | + | 0.483088i | \(0.160485\pi\) | |||||||
\(48\) | 26.2598 | − | 19.0788i | 3.79027 | − | 2.75379i | ||||
\(49\) | −2.23709 | + | 6.63290i | −0.319584 | + | 0.947558i | ||||
\(50\) | −4.10239 | + | 12.7281i | −0.580166 | + | 1.80003i | ||||
\(51\) | 2.21198 | + | 3.83125i | 0.309739 | + | 0.536483i | ||||
\(52\) | −0.837369 | − | 7.96704i | −0.116122 | − | 1.10483i | ||||
\(53\) | 2.90135 | + | 3.22227i | 0.398531 | + | 0.442613i | 0.908693 | − | 0.417465i | \(-0.137081\pi\) |
−0.510162 | + | 0.860078i | \(0.670415\pi\) | |||||||
\(54\) | 7.07028 | − | 1.50283i | 0.962144 | − | 0.204510i | ||||
\(55\) | 1.94140 | − | 2.67876i | 0.261779 | − | 0.361204i | ||||
\(56\) | 13.2164 | − | 17.9795i | 1.76611 | − | 2.40261i | ||||
\(57\) | 9.06086 | 1.20014 | ||||||||
\(58\) | 9.17348 | − | 10.1882i | 1.20454 | − | 1.33777i | ||||
\(59\) | −5.17836 | + | 2.30556i | −0.674166 | + | 0.300158i | −0.715119 | − | 0.699003i | \(-0.753627\pi\) |
0.0409529 | + | 0.999161i | \(0.486961\pi\) | |||||||
\(60\) | 22.6652 | − | 20.4564i | 2.92606 | − | 2.64091i | ||||
\(61\) | −0.863095 | − | 0.384275i | −0.110508 | − | 0.0492014i | 0.350738 | − | 0.936474i | \(-0.385931\pi\) |
−0.461246 | + | 0.887272i | \(0.652597\pi\) | |||||||
\(62\) | 7.47005 | + | 5.42731i | 0.948698 | + | 0.689269i | ||||
\(63\) | 9.24047 | − | 5.26663i | 1.16419 | − | 0.663533i | ||||
\(64\) | −14.5769 | + | 10.5908i | −1.82212 | + | 1.32385i | ||||
\(65\) | −0.726707 | − | 3.39913i | −0.0901369 | − | 0.421611i | ||||
\(66\) | −9.57800 | + | 4.26440i | −1.17897 | + | 0.524911i | ||||
\(67\) | 8.98153 | + | 1.90908i | 1.09727 | + | 0.233232i | 0.720762 | − | 0.693182i | \(-0.243792\pi\) |
0.376506 | + | 0.926414i | \(0.377125\pi\) | |||||||
\(68\) | −4.30235 | − | 7.45189i | −0.521737 | − | 0.903674i | ||||
\(69\) | 6.40628 | + | 19.7165i | 0.771225 | + | 2.37359i | ||||
\(70\) | 7.97153 | − | 13.6684i | 0.952780 | − | 1.63368i | ||||
\(71\) | −1.66725 | + | 5.13126i | −0.197866 | + | 0.608969i | 0.802065 | + | 0.597236i | \(0.203735\pi\) |
−0.999931 | + | 0.0117324i | \(0.996265\pi\) | |||||||
\(72\) | −33.1641 | + | 7.04925i | −3.90843 | + | 0.830762i | ||||
\(73\) | 0.127218 | + | 1.21040i | 0.0148898 | + | 0.141667i | 0.999441 | − | 0.0334297i | \(-0.0106430\pi\) |
−0.984551 | + | 0.175096i | \(0.943976\pi\) | |||||||
\(74\) | 2.10205 | − | 3.64085i | 0.244358 | − | 0.423240i | ||||
\(75\) | 8.84112 | − | 9.86585i | 1.02088 | − | 1.13921i | ||||
\(76\) | −17.6236 | −2.02157 | ||||||||
\(77\) | −2.92352 | + | 2.60303i | −0.333166 | + | 0.296643i | ||||
\(78\) | −3.40405 | + | 10.4766i | −0.385433 | + | 1.18624i | ||||
\(79\) | 3.02309 | − | 0.642577i | 0.340124 | − | 0.0722955i | −0.0346833 | − | 0.999398i | \(-0.511042\pi\) |
0.374807 | + | 0.927103i | \(0.377709\pi\) | |||||||
\(80\) | −20.3357 | + | 18.3539i | −2.27360 | + | 2.05203i | ||||
\(81\) | 4.79245 | + | 1.01867i | 0.532495 | + | 0.113185i | ||||
\(82\) | 7.75210 | + | 13.4270i | 0.856076 | + | 1.48277i | ||||
\(83\) | 1.03381 | + | 3.18173i | 0.113475 | + | 0.349240i | 0.991626 | − | 0.129143i | \(-0.0412228\pi\) |
−0.878151 | + | 0.478384i | \(0.841223\pi\) | |||||||
\(84\) | −31.3855 | + | 17.8883i | −3.42444 | + | 1.95177i | ||||
\(85\) | −2.19812 | − | 3.01794i | −0.238419 | − | 0.327342i | ||||
\(86\) | 7.13250 | + | 3.17559i | 0.769118 | + | 0.342433i | ||||
\(87\) | −12.4070 | + | 5.52394i | −1.33017 | + | 0.592229i | ||||
\(88\) | 11.3995 | − | 5.07538i | 1.21519 | − | 0.541038i | ||||
\(89\) | −14.4307 | − | 6.42496i | −1.52965 | − | 0.681044i | −0.542386 | − | 0.840129i | \(-0.682479\pi\) |
−0.987265 | + | 0.159085i | \(0.949146\pi\) | |||||||
\(90\) | −22.8564 | + | 7.45638i | −2.40928 | + | 0.785971i | ||||
\(91\) | −0.0228909 | + | 4.11273i | −0.00239962 | + | 0.431131i | ||||
\(92\) | −12.4604 | − | 38.3491i | −1.29908 | − | 3.99817i | ||||
\(93\) | −4.57350 | − | 7.92153i | −0.474250 | − | 0.821425i | ||||
\(94\) | 27.1182 | + | 5.76415i | 2.79703 | + | 0.594527i | ||||
\(95\) | −7.60406 | + | 0.808304i | −0.780160 | + | 0.0829303i | ||||
\(96\) | 41.2009 | − | 8.75752i | 4.20505 | − | 0.893811i | ||||
\(97\) | 1.46667 | − | 4.51395i | 0.148918 | − | 0.458322i | −0.848576 | − | 0.529073i | \(-0.822540\pi\) |
0.997494 | + | 0.0707513i | \(0.0225397\pi\) | |||||||
\(98\) | −12.6816 | + | 13.7729i | −1.28104 | + | 1.39127i | ||||
\(99\) | 5.94767 | 0.597763 | ||||||||
\(100\) | −17.1962 | + | 19.1893i | −1.71962 | + | 1.91893i | ||||
\(101\) | 3.99926 | − | 6.92692i | 0.397941 | − | 0.689254i | −0.595531 | − | 0.803333i | \(-0.703058\pi\) |
0.993472 | + | 0.114078i | \(0.0363915\pi\) | |||||||
\(102\) | 1.23681 | + | 11.7674i | 0.122462 | + | 1.16515i | ||||
\(103\) | −3.53189 | + | 0.750726i | −0.348008 | + | 0.0739713i | −0.378599 | − | 0.925561i | \(-0.623594\pi\) |
0.0305918 | + | 0.999532i | \(0.490261\pi\) | |||||||
\(104\) | 4.05142 | − | 12.4690i | 0.397274 | − | 1.22268i | ||||
\(105\) | −12.7215 | + | 9.15775i | −1.24149 | + | 0.893705i | ||||
\(106\) | 3.58367 | + | 11.0294i | 0.348076 | + | 1.07127i | ||||
\(107\) | 0.890309 | + | 1.54206i | 0.0860694 | + | 0.149077i | 0.905846 | − | 0.423606i | \(-0.139236\pi\) |
−0.819777 | + | 0.572683i | \(0.805903\pi\) | |||||||
\(108\) | 13.6231 | + | 2.89567i | 1.31088 | + | 0.278636i | ||||
\(109\) | 3.85558 | − | 1.71662i | 0.369298 | − | 0.164422i | −0.213693 | − | 0.976901i | \(-0.568549\pi\) |
0.582990 | + | 0.812479i | \(0.301882\pi\) | |||||||
\(110\) | 7.65763 | − | 4.43321i | 0.730127 | − | 0.422690i | ||||
\(111\) | −3.36932 | + | 2.44795i | −0.319802 | + | 0.232350i | ||||
\(112\) | 28.1598 | − | 16.0498i | 2.66085 | − | 1.51656i | ||||
\(113\) | −13.7414 | − | 9.98373i | −1.29268 | − | 0.939190i | −0.292829 | − | 0.956165i | \(-0.594597\pi\) |
−0.999856 | + | 0.0169748i | \(0.994597\pi\) | |||||||
\(114\) | 22.1389 | + | 9.85688i | 2.07350 | + | 0.923181i | ||||
\(115\) | −7.13516 | − | 15.9750i | −0.665357 | − | 1.48968i | ||||
\(116\) | 24.1319 | − | 10.7442i | 2.24059 | − | 0.997575i | ||||
\(117\) | 4.18145 | − | 4.64397i | 0.386575 | − | 0.429335i | ||||
\(118\) | −15.1607 | −1.39565 | ||||||||
\(119\) | 1.77433 | + | 4.04565i | 0.162652 | + | 0.370864i | ||||
\(120\) | 47.5039 | − | 15.4970i | 4.33650 | − | 1.41468i | ||||
\(121\) | 8.61850 | − | 1.83192i | 0.783500 | − | 0.166538i | ||||
\(122\) | −1.69081 | − | 1.87784i | −0.153079 | − | 0.170012i | ||||
\(123\) | −1.60545 | − | 15.2748i | −0.144758 | − | 1.37728i | ||||
\(124\) | 8.89558 | + | 15.4076i | 0.798846 | + | 1.38364i | ||||
\(125\) | −6.53953 | + | 9.06832i | −0.584914 | + | 0.811096i | ||||
\(126\) | 28.3071 | − | 2.81599i | 2.52179 | − | 0.250868i | ||||
\(127\) | −10.6537 | + | 7.74033i | −0.945359 | + | 0.686843i | −0.949705 | − | 0.313147i | \(-0.898617\pi\) |
0.00434588 | + | 0.999991i | \(0.498617\pi\) | |||||||
\(128\) | −16.0373 | + | 3.40883i | −1.41751 | + | 0.301301i | ||||
\(129\) | −5.17530 | − | 5.74775i | −0.455659 | − | 0.506061i | ||||
\(130\) | 1.92215 | − | 9.09584i | 0.168584 | − | 0.797758i | ||||
\(131\) | −10.2118 | + | 11.3413i | −0.892208 | + | 0.990898i | −0.999995 | − | 0.00327628i | \(-0.998957\pi\) |
0.107786 | + | 0.994174i | \(0.465624\pi\) | |||||||
\(132\) | −20.2014 | −1.75831 | ||||||||
\(133\) | 8.99297 | + | 0.995835i | 0.779789 | + | 0.0863499i | ||||
\(134\) | 19.8683 | + | 14.4351i | 1.71636 | + | 1.24701i | ||||
\(135\) | 6.01075 | + | 0.624576i | 0.517323 | + | 0.0537549i | ||||
\(136\) | −1.47202 | − | 14.0053i | −0.126224 | − | 1.20094i | ||||
\(137\) | −10.4824 | + | 4.66705i | −0.895568 | + | 0.398733i | −0.802309 | − | 0.596909i | \(-0.796395\pi\) |
−0.0932595 | + | 0.995642i | \(0.529729\pi\) | |||||||
\(138\) | −5.79582 | + | 55.1435i | −0.493373 | + | 4.69413i | ||||
\(139\) | 13.5493 | − | 9.84418i | 1.14924 | − | 0.834972i | 0.160861 | − | 0.986977i | \(-0.448573\pi\) |
0.988380 | + | 0.152005i | \(0.0485730\pi\) | |||||||
\(140\) | 24.7436 | − | 17.8121i | 2.09122 | − | 1.50539i | ||||
\(141\) | −22.2191 | − | 16.1431i | −1.87119 | − | 1.35950i | ||||
\(142\) | −9.65573 | + | 10.7238i | −0.810291 | + | 0.899920i | ||||
\(143\) | −1.14995 | + | 1.99176i | −0.0961633 | + | 0.166560i | ||||
\(144\) | −48.1722 | − | 10.2393i | −4.01435 | − | 0.853276i | ||||
\(145\) | 9.91941 | − | 5.74261i | 0.823762 | − | 0.476898i | ||||
\(146\) | −1.00590 | + | 3.09583i | −0.0832486 | + | 0.256213i | ||||
\(147\) | 17.0262 | − | 7.35456i | 1.40430 | − | 0.606594i | ||||
\(148\) | 6.55342 | − | 4.76134i | 0.538687 | − | 0.391379i | ||||
\(149\) | −3.94058 | − | 6.82529i | −0.322825 | − | 0.559150i | 0.658245 | − | 0.752804i | \(-0.271299\pi\) |
−0.981070 | + | 0.193654i | \(0.937966\pi\) | |||||||
\(150\) | 32.3346 | − | 14.4879i | 2.64011 | − | 1.18294i | ||||
\(151\) | −7.02320 | + | 12.1645i | −0.571540 | + | 0.989937i | 0.424868 | + | 0.905255i | \(0.360321\pi\) |
−0.996408 | + | 0.0846812i | \(0.973013\pi\) | |||||||
\(152\) | −26.3492 | − | 11.7314i | −2.13720 | − | 0.951543i | ||||
\(153\) | 2.07420 | − | 6.38374i | 0.167689 | − | 0.516095i | ||||
\(154\) | −9.97491 | + | 3.17977i | −0.803801 | + | 0.256234i | ||||
\(155\) | 4.54484 | + | 6.23992i | 0.365050 | + | 0.501202i | ||||
\(156\) | −14.2024 | + | 15.7734i | −1.13710 | + | 1.26288i | ||||
\(157\) | 5.80555 | − | 10.0555i | 0.463333 | − | 0.802517i | −0.535791 | − | 0.844351i | \(-0.679987\pi\) |
0.999125 | + | 0.0418335i | \(0.0133199\pi\) | |||||||
\(158\) | 8.08550 | + | 1.71863i | 0.643248 | + | 0.136727i | ||||
\(159\) | 1.20086 | − | 11.4254i | 0.0952344 | − | 0.906095i | ||||
\(160\) | −33.7954 | + | 11.0250i | −2.67176 | + | 0.871599i | ||||
\(161\) | 4.19133 | + | 20.2728i | 0.330323 | + | 1.59772i | ||||
\(162\) | 10.6015 | + | 7.70245i | 0.832933 | + | 0.605161i | ||||
\(163\) | 2.46898 | − | 23.4907i | 0.193385 | − | 1.83994i | −0.281106 | − | 0.959677i | \(-0.590701\pi\) |
0.474491 | − | 0.880260i | \(-0.342632\pi\) | |||||||
\(164\) | 3.12264 | + | 29.7099i | 0.243837 | + | 2.31995i | ||||
\(165\) | −8.71632 | + | 0.926537i | −0.678565 | + | 0.0721308i | ||||
\(166\) | −0.935294 | + | 8.89873i | −0.0725929 | + | 0.690676i | ||||
\(167\) | 1.88131 | + | 5.79009i | 0.145580 | + | 0.448051i | 0.997085 | − | 0.0762964i | \(-0.0243095\pi\) |
−0.851505 | + | 0.524347i | \(0.824310\pi\) | |||||||
\(168\) | −58.8323 | + | 5.85265i | −4.53901 | + | 0.451542i | ||||
\(169\) | −3.27050 | − | 10.0656i | −0.251577 | − | 0.774274i | ||||
\(170\) | −2.08770 | − | 9.76512i | −0.160120 | − | 0.748951i | ||||
\(171\) | −9.19897 | − | 10.2165i | −0.703463 | − | 0.781274i | ||||
\(172\) | 10.0661 | + | 11.1795i | 0.767532 | + | 0.852430i | ||||
\(173\) | 21.6621 | + | 9.64459i | 1.64694 | + | 0.733264i | 0.999582 | − | 0.0289228i | \(-0.00920769\pi\) |
0.647357 | + | 0.762187i | \(0.275874\pi\) | |||||||
\(174\) | −36.3239 | −2.75371 | ||||||||
\(175\) | 9.85918 | − | 8.82024i | 0.745284 | − | 0.666747i | ||||
\(176\) | 18.1252 | 1.36624 | ||||||||
\(177\) | 13.7202 | + | 6.10864i | 1.03128 | + | 0.459154i | ||||
\(178\) | −28.2699 | − | 31.3969i | −2.11892 | − | 2.35330i | ||||
\(179\) | −14.5886 | − | 16.2023i | −1.09041 | − | 1.21102i | −0.976043 | − | 0.217579i | \(-0.930184\pi\) |
−0.114363 | − | 0.993439i | \(-0.536483\pi\) | |||||||
\(180\) | −46.0760 | − | 4.78775i | −3.43431 | − | 0.356858i | ||||
\(181\) | −1.61645 | − | 4.97492i | −0.120150 | − | 0.369783i | 0.872837 | − | 0.488013i | \(-0.162278\pi\) |
−0.992986 | + | 0.118230i | \(0.962278\pi\) | |||||||
\(182\) | −4.52997 | + | 10.0240i | −0.335784 | + | 0.743026i | ||||
\(183\) | 0.773535 | + | 2.38070i | 0.0571814 | + | 0.175986i | ||||
\(184\) | 6.89804 | − | 65.6304i | 0.508530 | − | 4.83834i | ||||
\(185\) | 2.60923 | − | 2.35495i | 0.191834 | − | 0.173139i | ||||
\(186\) | −2.55723 | − | 24.3304i | −0.187505 | − | 1.78399i | ||||
\(187\) | −0.258223 | + | 2.45683i | −0.0188831 | + | 0.179661i | ||||
\(188\) | 43.2168 | + | 31.3988i | 3.15191 | + | 2.28999i | ||||
\(189\) | −6.78795 | − | 2.24738i | −0.493750 | − | 0.163473i | ||||
\(190\) | −19.4587 | − | 6.29712i | −1.41169 | − | 0.456841i | ||||
\(191\) | −2.20720 | + | 21.0001i | −0.159707 | + | 1.51952i | 0.561896 | + | 0.827208i | \(0.310072\pi\) |
−0.721603 | + | 0.692307i | \(0.756594\pi\) | |||||||
\(192\) | 46.6962 | + | 9.92559i | 3.37001 | + | 0.716318i | ||||
\(193\) | −9.91277 | + | 17.1694i | −0.713537 | + | 1.23588i | 0.249984 | + | 0.968250i | \(0.419575\pi\) |
−0.963521 | + | 0.267632i | \(0.913759\pi\) | |||||||
\(194\) | 8.49410 | − | 9.43366i | 0.609841 | − | 0.677297i | ||||
\(195\) | −5.40448 | + | 7.45714i | −0.387023 | + | 0.534017i | ||||
\(196\) | −33.1164 | + | 14.3048i | −2.36546 | + | 1.02177i | ||||
\(197\) | −2.84995 | + | 8.77124i | −0.203050 | + | 0.624925i | 0.796737 | + | 0.604326i | \(0.206557\pi\) |
−0.999788 | + | 0.0205992i | \(0.993443\pi\) | |||||||
\(198\) | 14.5323 | + | 6.47018i | 1.03276 | + | 0.459816i | ||||
\(199\) | −10.5400 | + | 18.2557i | −0.747158 | + | 1.29412i | 0.202022 | + | 0.979381i | \(0.435249\pi\) |
−0.949180 | + | 0.314734i | \(0.898085\pi\) | |||||||
\(200\) | −38.4838 | + | 17.2432i | −2.72122 | + | 1.21928i | ||||
\(201\) | −12.1642 | − | 21.0691i | −0.857999 | − | 1.48610i | ||||
\(202\) | 17.3071 | − | 12.5743i | 1.21772 | − | 0.884726i | ||||
\(203\) | −12.9211 | + | 4.11896i | −0.906885 | + | 0.289094i | ||||
\(204\) | −7.04510 | + | 21.6826i | −0.493256 | + | 1.51808i | ||||
\(205\) | 2.70997 | + | 12.6757i | 0.189272 | + | 0.885311i | ||||
\(206\) | −9.44634 | − | 2.00788i | −0.658158 | − | 0.139896i | ||||
\(207\) | 15.7272 | − | 27.2404i | 1.09312 | − | 1.89334i | ||||
\(208\) | 12.7427 | − | 14.1523i | 0.883550 | − | 0.981282i | ||||
\(209\) | 4.09333 | + | 2.97398i | 0.283142 | + | 0.205715i | ||||
\(210\) | −41.0454 | + | 8.53656i | −2.83240 | + | 0.589078i | ||||
\(211\) | 12.8973 | − | 9.37042i | 0.887885 | − | 0.645086i | −0.0474409 | − | 0.998874i | \(-0.515107\pi\) |
0.935326 | + | 0.353788i | \(0.115107\pi\) | |||||||
\(212\) | −2.33570 | + | 22.2227i | −0.160417 | + | 1.52626i | ||||
\(213\) | 13.0592 | − | 5.81434i | 0.894803 | − | 0.398392i | ||||
\(214\) | 0.497808 | + | 4.73632i | 0.0340294 | + | 0.323768i | ||||
\(215\) | 4.85596 | + | 4.36195i | 0.331174 | + | 0.297482i | ||||
\(216\) | 18.4404 | + | 13.3977i | 1.25471 | + | 0.911600i | ||||
\(217\) | −3.66861 | − | 8.36483i | −0.249042 | − | 0.567842i | ||||
\(218\) | 11.2880 | 0.764518 | ||||||||
\(219\) | 2.15772 | − | 2.39639i | 0.145805 | − | 0.161933i | ||||
\(220\) | 16.9535 | − | 1.80214i | 1.14300 | − | 0.121500i | ||||
\(221\) | 1.73676 | + | 1.92887i | 0.116827 | + | 0.129750i | ||||
\(222\) | −10.8955 | + | 2.31590i | −0.731255 | + | 0.155433i | ||||
\(223\) | 1.70808 | − | 1.24099i | 0.114381 | − | 0.0831029i | −0.529124 | − | 0.848544i | \(-0.677479\pi\) |
0.643505 | + | 0.765442i | \(0.277479\pi\) | |||||||
\(224\) | 41.8547 | − | 4.16371i | 2.79653 | − | 0.278200i | ||||
\(225\) | −20.1000 | + | 0.0475009i | −1.34000 | + | 0.00316673i | ||||
\(226\) | −22.7144 | − | 39.3424i | −1.51094 | − | 2.61702i | ||||
\(227\) | −0.741196 | − | 7.05201i | −0.0491949 | − | 0.468058i | −0.991192 | − | 0.132436i | \(-0.957720\pi\) |
0.941997 | − | 0.335622i | \(-0.108947\pi\) | |||||||
\(228\) | 31.2446 | + | 34.7006i | 2.06922 | + | 2.29811i | ||||
\(229\) | 15.5996 | − | 3.31581i | 1.03085 | − | 0.219115i | 0.338722 | − | 0.940886i | \(-0.390005\pi\) |
0.692131 | + | 0.721772i | \(0.256672\pi\) | |||||||
\(230\) | −0.0552931 | − | 46.7946i | −0.00364592 | − | 3.08554i | ||||
\(231\) | 10.3084 | + | 1.14150i | 0.678242 | + | 0.0751050i | ||||
\(232\) | 43.2318 | 2.83831 | ||||||||
\(233\) | −11.8458 | + | 13.1561i | −0.776046 | + | 0.861886i | −0.993459 | − | 0.114194i | \(-0.963572\pi\) |
0.217413 | + | 0.976080i | \(0.430238\pi\) | |||||||
\(234\) | 15.2687 | − | 6.79807i | 0.998147 | − | 0.444404i | ||||
\(235\) | 20.0868 | + | 11.5655i | 1.31032 | + | 0.754451i | ||||
\(236\) | −26.6862 | − | 11.8815i | −1.73712 | − | 0.773418i | ||||
\(237\) | −6.62480 | − | 4.81320i | −0.430327 | − | 0.312651i | ||||
\(238\) | −0.0657616 | + | 11.8152i | −0.00426269 | + | 0.765864i | ||||
\(239\) | 8.46503 | − | 6.15021i | 0.547557 | − | 0.397824i | −0.279327 | − | 0.960196i | \(-0.590111\pi\) |
0.826884 | + | 0.562372i | \(0.190111\pi\) | |||||||
\(240\) | 72.1915 | + | 7.50140i | 4.65994 | + | 0.484213i | ||||
\(241\) | 11.2610 | − | 5.01373i | 0.725387 | − | 0.322963i | −0.0106141 | − | 0.999944i | \(-0.503379\pi\) |
0.736001 | + | 0.676981i | \(0.236712\pi\) | |||||||
\(242\) | 23.0509 | + | 4.89962i | 1.48177 | + | 0.314960i | ||||
\(243\) | −10.5446 | − | 18.2637i | −0.676434 | − | 1.17162i | ||||
\(244\) | −1.50455 | − | 4.63052i | −0.0963187 | − | 0.296438i | ||||
\(245\) | −13.6326 | + | 7.69098i | −0.870957 | + | 0.491358i | ||||
\(246\) | 12.6941 | − | 39.0683i | 0.809344 | − | 2.49090i | ||||
\(247\) | 5.19988 | − | 1.10527i | 0.330860 | − | 0.0703265i | ||||
\(248\) | 3.04355 | + | 28.9575i | 0.193266 | + | 1.83880i | ||||
\(249\) | 4.43197 | − | 7.67639i | 0.280864 | − | 0.486471i | ||||
\(250\) | −25.8434 | + | 15.0431i | −1.63448 | + | 0.951409i | ||||
\(251\) | 10.1045 | 0.637793 | 0.318896 | − | 0.947790i | \(-0.396688\pi\) | ||||
0.318896 | + | 0.947790i | \(0.396688\pi\) | |||||||
\(252\) | 52.0337 | + | 17.2275i | 3.27781 | + | 1.08523i | ||||
\(253\) | −3.57730 | + | 11.0098i | −0.224903 | + | 0.692181i | ||||
\(254\) | −34.4510 | + | 7.32278i | −2.16165 | + | 0.459472i | ||||
\(255\) | −2.04528 | + | 9.67851i | −0.128080 | + | 0.606092i | ||||
\(256\) | −7.64441 | − | 1.62487i | −0.477776 | − | 0.101554i | ||||
\(257\) | −15.2617 | − | 26.4341i | −0.952001 | − | 1.64891i | −0.741086 | − | 0.671410i | \(-0.765689\pi\) |
−0.210916 | − | 0.977504i | \(-0.567645\pi\) | |||||||
\(258\) | −6.39239 | − | 19.6738i | −0.397973 | − | 1.22483i | ||||
\(259\) | −3.61312 | + | 2.05931i | −0.224508 | + | 0.127959i | ||||
\(260\) | 10.5118 | − | 14.5043i | 0.651917 | − | 0.899520i | ||||
\(261\) | 18.8246 | + | 8.38123i | 1.16521 | + | 0.518785i | ||||
\(262\) | −37.2887 | + | 16.6020i | −2.30371 | + | 1.02568i | ||||
\(263\) | −23.7899 | + | 10.5919i | −1.46695 | + | 0.653128i | −0.975942 | − | 0.218029i | \(-0.930037\pi\) |
−0.491006 | + | 0.871156i | \(0.663371\pi\) | |||||||
\(264\) | −30.2033 | − | 13.4474i | −1.85889 | − | 0.827629i | ||||
\(265\) | 0.0114564 | + | 9.69557i | 0.000703762 | + | 0.595594i | ||||
\(266\) | 20.8897 | + | 12.2162i | 1.28083 | + | 0.749023i | ||||
\(267\) | 12.9333 | + | 39.8045i | 0.791504 | + | 2.43600i | ||||
\(268\) | 23.6598 | + | 40.9799i | 1.44525 | + | 2.50325i | ||||
\(269\) | −9.23605 | − | 1.96318i | −0.563132 | − | 0.119697i | −0.0824544 | − | 0.996595i | \(-0.526276\pi\) |
−0.480677 | + | 0.876897i | \(0.659609\pi\) | |||||||
\(270\) | 14.0070 | + | 8.06487i | 0.852436 | + | 0.490812i | ||||
\(271\) | −2.17834 | + | 0.463021i | −0.132325 | + | 0.0281265i | −0.273598 | − | 0.961844i | \(-0.588214\pi\) |
0.141273 | + | 0.989971i | \(0.454880\pi\) | |||||||
\(272\) | 6.32103 | − | 19.4541i | 0.383269 | − | 1.17958i | ||||
\(273\) | 8.13849 | − | 7.24632i | 0.492564 | − | 0.438567i | ||||
\(274\) | −30.6892 | −1.85400 | ||||||||
\(275\) | 7.23226 | − | 1.55514i | 0.436122 | − | 0.0937783i | ||||
\(276\) | −53.4180 | + | 92.5228i | −3.21539 | + | 5.56922i | ||||
\(277\) | 1.26007 | + | 11.9888i | 0.0757103 | + | 0.720335i | 0.964868 | + | 0.262735i | \(0.0846244\pi\) |
−0.889158 | + | 0.457601i | \(0.848709\pi\) | |||||||
\(278\) | 43.8149 | − | 9.31314i | 2.62784 | − | 0.558565i | ||||
\(279\) | −4.28864 | + | 13.1991i | −0.256754 | + | 0.790208i | ||||
\(280\) | 48.8512 | − | 10.1600i | 2.91942 | − | 0.607176i | ||||
\(281\) | −3.07590 | − | 9.46664i | −0.183493 | − | 0.564733i | 0.816426 | − | 0.577450i | \(-0.195952\pi\) |
−0.999919 | + | 0.0127169i | \(0.995952\pi\) | |||||||
\(282\) | −36.7279 | − | 63.6145i | −2.18711 | − | 3.78819i | ||||
\(283\) | −12.1317 | − | 2.57868i | −0.721157 | − | 0.153287i | −0.167309 | − | 0.985905i | \(-0.553508\pi\) |
−0.553848 | + | 0.832618i | \(0.686841\pi\) | |||||||
\(284\) | −25.4005 | + | 11.3090i | −1.50724 | + | 0.671068i | ||||
\(285\) | 15.0726 | + | 13.5393i | 0.892826 | + | 0.801996i | ||||
\(286\) | −4.97647 | + | 3.61562i | −0.294265 | + | 0.213796i | ||||
\(287\) | 0.0853626 | − | 15.3368i | 0.00503879 | − | 0.905303i | ||||
\(288\) | −51.7033 | − | 37.5647i | −3.04665 | − | 2.21352i | ||||
\(289\) | −12.9834 | − | 5.78057i | −0.763728 | − | 0.340033i | ||||
\(290\) | 30.4837 | − | 3.24039i | 1.79007 | − | 0.190282i | ||||
\(291\) | −11.4881 | + | 5.11485i | −0.673446 | + | 0.299838i | ||||
\(292\) | −4.19681 | + | 4.66103i | −0.245600 | + | 0.272766i | ||||
\(293\) | 6.88753 | 0.402374 | 0.201187 | − | 0.979553i | \(-0.435520\pi\) | ||||
0.201187 | + | 0.979553i | \(0.435520\pi\) | |||||||
\(294\) | 49.6017 | + | 0.552170i | 2.89283 | + | 0.0322032i | ||||
\(295\) | −12.0592 | − | 3.90254i | −0.702117 | − | 0.227215i | ||||
\(296\) | 12.9675 | − | 2.75633i | 0.753721 | − | 0.160208i | ||||
\(297\) | −2.67551 | − | 2.97145i | −0.155249 | − | 0.172421i | ||||
\(298\) | −2.20334 | − | 20.9634i | −0.127636 | − | 1.21438i | ||||
\(299\) | 6.08153 | + | 10.5335i | 0.351704 | + | 0.609169i | ||||
\(300\) | 68.2704 | − | 0.161338i | 3.94159 | − | 0.00931488i | ||||
\(301\) | −4.50481 | − | 6.27347i | −0.259653 | − | 0.361597i | ||||
\(302\) | −30.3934 | + | 22.0821i | −1.74894 | + | 1.27068i | ||||
\(303\) | −20.7292 | + | 4.40613i | −1.19086 | + | 0.253126i | ||||
\(304\) | −28.0334 | − | 31.1342i | −1.60782 | − | 1.78567i | ||||
\(305\) | −0.861545 | − | 1.92892i | −0.0493319 | − | 0.110450i | ||||
\(306\) | 12.0126 | − | 13.3413i | 0.686714 | − | 0.762673i | ||||
\(307\) | 2.00654 | 0.114520 | 0.0572598 | − | 0.998359i | \(-0.481764\pi\) | ||||
0.0572598 | + | 0.998359i | \(0.481764\pi\) | |||||||
\(308\) | −20.0501 | − | 2.22024i | −1.14246 | − | 0.126510i | ||||
\(309\) | 7.73980 | + | 5.62329i | 0.440302 | + | 0.319898i | ||||
\(310\) | 4.31656 | + | 20.1905i | 0.245164 | + | 1.14674i | ||||
\(311\) | −0.442849 | − | 4.21343i | −0.0251117 | − | 0.238922i | −0.999877 | − | 0.0156892i | \(-0.995006\pi\) |
0.974765 | − | 0.223232i | \(-0.0716609\pi\) | |||||||
\(312\) | −31.7339 | + | 14.1289i | −1.79658 | + | 0.799889i | ||||
\(313\) | −1.61123 | + | 15.3298i | −0.0910721 | + | 0.866493i | 0.849657 | + | 0.527335i | \(0.176809\pi\) |
−0.940729 | + | 0.339158i | \(0.889858\pi\) | |||||||
\(314\) | 25.1239 | − | 18.2536i | 1.41783 | − | 1.03011i | ||||
\(315\) | 23.2411 | + | 5.04665i | 1.30949 | + | 0.284347i | ||||
\(316\) | 12.8854 | + | 9.36180i | 0.724861 | + | 0.526642i | ||||
\(317\) | −4.50815 | + | 5.00681i | −0.253203 | + | 0.281211i | −0.856324 | − | 0.516439i | \(-0.827257\pi\) |
0.603121 | + | 0.797650i | \(0.293924\pi\) | |||||||
\(318\) | 15.3633 | − | 26.6100i | 0.861530 | − | 1.49221i | ||||
\(319\) | −7.41806 | − | 1.57676i | −0.415331 | − | 0.0882814i | ||||
\(320\) | −40.0739 | − | 4.16407i | −2.24020 | − | 0.232778i | ||||
\(321\) | 1.45788 | − | 4.48690i | 0.0813710 | − | 0.250434i | ||||
\(322\) | −11.8129 | + | 54.0933i | −0.658309 | + | 3.01450i | ||||
\(323\) | 4.61955 | − | 3.35630i | 0.257038 | − | 0.186749i | ||||
\(324\) | 12.6246 | + | 21.8665i | 0.701367 | + | 1.21480i | ||||
\(325\) | 3.87031 | − | 6.74031i | 0.214686 | − | 0.373885i | ||||
\(326\) | 31.5870 | − | 54.7104i | 1.74944 | − | 3.03013i | ||||
\(327\) | −10.2155 | − | 4.54823i | −0.564918 | − | 0.251517i | ||||
\(328\) | −15.1082 | + | 46.4981i | −0.834208 | + | 2.56743i | ||||
\(329\) | −20.2784 | − | 18.4642i | −1.11799 | − | 1.01796i | ||||
\(330\) | −22.3050 | − | 7.21821i | −1.22785 | − | 0.397349i | ||||
\(331\) | 20.1776 | − | 22.4095i | 1.10906 | − | 1.23174i | 0.138637 | − | 0.990343i | \(-0.455728\pi\) |
0.970427 | − | 0.241396i | \(-0.0776053\pi\) | |||||||
\(332\) | −8.62029 | + | 14.9308i | −0.473100 | + | 0.819433i | ||||
\(333\) | 6.18084 | + | 1.31378i | 0.338708 | + | 0.0719947i | ||||
\(334\) | −1.70204 | + | 16.1938i | −0.0931315 | + | 0.886087i | ||||
\(335\) | 12.0880 | + | 16.5965i | 0.660439 | + | 0.906761i | ||||
\(336\) | −81.5259 | − | 26.9919i | −4.44760 | − | 1.47253i | ||||
\(337\) | 7.55441 | + | 5.48860i | 0.411515 | + | 0.298983i | 0.774215 | − | 0.632923i | \(-0.218145\pi\) |
−0.362700 | + | 0.931906i | \(0.618145\pi\) | |||||||
\(338\) | 2.95885 | − | 28.1516i | 0.160940 | − | 1.53124i | ||||
\(339\) | 4.70411 | + | 44.7566i | 0.255492 | + | 2.43085i | ||||
\(340\) | 3.97812 | − | 18.8250i | 0.215744 | − | 1.02093i | ||||
\(341\) | 0.533904 | − | 5.07976i | 0.0289125 | − | 0.275084i | ||||
\(342\) | −11.3623 | − | 34.9696i | −0.614404 | − | 1.89094i | ||||
\(343\) | 17.7069 | − | 5.42819i | 0.956083 | − | 0.293094i | ||||
\(344\) | 7.60806 | + | 23.4152i | 0.410199 | + | 1.26246i | ||||
\(345\) | −18.8047 | + | 42.3708i | −1.01241 | + | 2.28117i | ||||
\(346\) | 42.4363 | + | 47.1303i | 2.28139 | + | 2.53374i | ||||
\(347\) | −0.584314 | − | 0.648946i | −0.0313676 | − | 0.0348373i | 0.727257 | − | 0.686365i | \(-0.240795\pi\) |
−0.758624 | + | 0.651528i | \(0.774128\pi\) | |||||||
\(348\) | −63.9382 | − | 28.4671i | −3.42745 | − | 1.52600i | ||||
\(349\) | 18.4980 | 0.990175 | 0.495088 | − | 0.868843i | \(-0.335136\pi\) | ||||
0.495088 | + | 0.868843i | \(0.335136\pi\) | |||||||
\(350\) | 33.6846 | − | 10.8256i | 1.80052 | − | 0.578655i | ||||
\(351\) | −4.20111 | −0.224239 | ||||||||
\(352\) | 21.4873 | + | 9.56678i | 1.14528 | + | 0.509911i | ||||
\(353\) | 8.62233 | + | 9.57607i | 0.458920 | + | 0.509683i | 0.927543 | − | 0.373716i | \(-0.121916\pi\) |
−0.468623 | + | 0.883398i | \(0.655250\pi\) | |||||||
\(354\) | 26.8781 | + | 29.8512i | 1.42856 | + | 1.58657i | ||||
\(355\) | −10.4409 | + | 6.04450i | −0.554144 | + | 0.320809i | ||||
\(356\) | −25.1556 | − | 77.4208i | −1.33324 | − | 4.10330i | ||||
\(357\) | 4.82016 | − | 10.6661i | 0.255110 | − | 0.564509i | ||||
\(358\) | −18.0195 | − | 55.4583i | −0.952360 | − | 2.93106i | ||||
\(359\) | 3.01585 | − | 28.6939i | 0.159170 | − | 1.51440i | −0.565178 | − | 0.824969i | \(-0.691192\pi\) |
0.724348 | − | 0.689435i | \(-0.242141\pi\) | |||||||
\(360\) | −65.7016 | − | 37.8294i | −3.46278 | − | 1.99378i | ||||
\(361\) | 0.763578 | + | 7.26496i | 0.0401883 | + | 0.382366i | ||||
\(362\) | 1.46242 | − | 13.9140i | 0.0768629 | − | 0.731301i | ||||
\(363\) | −18.8866 | − | 13.7219i | −0.991289 | − | 0.720214i | ||||
\(364\) | −15.8296 | + | 14.0943i | −0.829695 | + | 0.738741i | ||||
\(365\) | −1.59702 | + | 2.20358i | −0.0835919 | + | 0.115341i | ||||
\(366\) | −0.699824 | + | 6.65838i | −0.0365804 | + | 0.348039i | ||||
\(367\) | 2.39743 | + | 0.509590i | 0.125145 | + | 0.0266004i | 0.270058 | − | 0.962844i | \(-0.412957\pi\) |
−0.144913 | + | 0.989444i | \(0.546290\pi\) | |||||||
\(368\) | 47.9279 | − | 83.0136i | 2.49841 | − | 4.32738i | ||||
\(369\) | −15.5931 | + | 17.3178i | −0.811742 | + | 0.901531i | ||||
\(370\) | 8.93710 | − | 2.91552i | 0.464617 | − | 0.151571i | ||||
\(371\) | 2.44757 | − | 11.2078i | 0.127072 | − | 0.581881i | ||||
\(372\) | 14.5665 | − | 44.8311i | 0.755238 | − | 2.32438i | ||||
\(373\) | 8.68137 | + | 3.86519i | 0.449504 | + | 0.200132i | 0.618987 | − | 0.785401i | \(-0.287543\pi\) |
−0.169483 | + | 0.985533i | \(0.554210\pi\) | |||||||
\(374\) | −3.30360 | + | 5.72199i | −0.170825 | + | 0.295877i | ||||
\(375\) | 29.4492 | − | 3.20082i | 1.52075 | − | 0.165290i | ||||
\(376\) | 43.7126 | + | 75.7124i | 2.25430 | + | 3.90457i | ||||
\(377\) | −6.44633 | + | 4.68353i | −0.332003 | + | 0.241214i | ||||
\(378\) | −14.1405 | − | 12.8754i | −0.727311 | − | 0.662241i | ||||
\(379\) | −1.14187 | + | 3.51431i | −0.0586538 | + | 0.180518i | −0.976091 | − | 0.217363i | \(-0.930254\pi\) |
0.917437 | + | 0.397881i | \(0.130254\pi\) | |||||||
\(380\) | −29.3167 | − | 26.3342i | −1.50391 | − | 1.35092i | ||||
\(381\) | 34.1283 | + | 7.25419i | 1.74844 | + | 0.371643i | ||||
\(382\) | −28.2380 | + | 48.9096i | −1.44478 | + | 2.50243i | ||||
\(383\) | −11.2195 | + | 12.4606i | −0.573291 | + | 0.636705i | −0.958149 | − | 0.286271i | \(-0.907584\pi\) |
0.384857 | + | 0.922976i | \(0.374251\pi\) | |||||||
\(384\) | 35.1442 | + | 25.5337i | 1.79344 | + | 1.30301i | ||||
\(385\) | −8.75284 | − | 0.0383744i | −0.446086 | − | 0.00195574i | ||||
\(386\) | −42.8982 | + | 31.1674i | −2.18346 | + | 1.58638i | ||||
\(387\) | −1.22664 | + | 11.6707i | −0.0623537 | + | 0.593256i | ||||
\(388\) | 22.3447 | − | 9.94851i | 1.13438 | − | 0.505059i | ||||
\(389\) | 1.05586 | + | 10.0458i | 0.0535341 | + | 0.509343i | 0.988129 | + | 0.153628i | \(0.0490958\pi\) |
−0.934595 | + | 0.355715i | \(0.884238\pi\) | |||||||
\(390\) | −21.3173 | + | 12.3412i | −1.07944 | + | 0.624919i | ||||
\(391\) | 10.5695 | + | 7.67917i | 0.534521 | + | 0.388352i | ||||
\(392\) | −59.0347 | − | 0.657179i | −2.98170 | − | 0.0331925i | ||||
\(393\) | 40.4352 | 2.03969 | ||||||||
\(394\) | −16.5052 | + | 18.3309i | −0.831522 | + | 0.923499i | ||||
\(395\) | 5.98905 | + | 3.44835i | 0.301342 | + | 0.173505i | ||||
\(396\) | 20.5094 | + | 22.7780i | 1.03063 | + | 1.14464i | ||||
\(397\) | 1.08000 | − | 0.229562i | 0.0542038 | − | 0.0115214i | −0.180730 | − | 0.983533i | \(-0.557846\pi\) |
0.234934 | + | 0.972011i | \(0.424513\pi\) | |||||||
\(398\) | −45.6124 | + | 33.1394i | −2.28634 | + | 1.66113i | ||||
\(399\) | −13.9827 | − | 19.4725i | −0.700010 | − | 0.974845i | ||||
\(400\) | −61.2538 | + | 0.144757i | −3.06269 | + | 0.00723783i | ||||
\(401\) | −1.14586 | − | 1.98469i | −0.0572215 | − | 0.0991105i | 0.835996 | − | 0.548736i | \(-0.184891\pi\) |
−0.893217 | + | 0.449625i | \(0.851557\pi\) | |||||||
\(402\) | −6.80152 | − | 64.7121i | −0.339229 | − | 3.22755i | ||||
\(403\) | −3.59094 | − | 3.98815i | −0.178878 | − | 0.198664i | ||||
\(404\) | 40.3189 | − | 8.57004i | 2.00594 | − | 0.426375i | ||||
\(405\) | 6.45004 | + | 8.85570i | 0.320505 | + | 0.440043i | ||||
\(406\) | −36.0517 | − | 3.99218i | −1.78922 | − | 0.198129i | ||||
\(407\) | −2.32560 | −0.115276 | ||||||||
\(408\) | −24.9665 | + | 27.7281i | −1.23603 | + | 1.37275i | ||||
\(409\) | 2.30706 | − | 1.02717i | 0.114077 | − | 0.0507902i | −0.348905 | − | 0.937158i | \(-0.613446\pi\) |
0.462981 | + | 0.886368i | \(0.346780\pi\) | |||||||
\(410\) | −7.16790 | + | 33.9193i | −0.353997 | + | 1.67516i | ||||
\(411\) | 27.7733 | + | 12.3655i | 1.36996 | + | 0.609944i | ||||
\(412\) | −15.0541 | − | 10.9374i | −0.741662 | − | 0.538849i | ||||
\(413\) | 12.9461 | + | 7.57080i | 0.637034 | + | 0.372534i | ||||
\(414\) | 68.0607 | − | 49.4490i | 3.34500 | − | 2.43028i | ||||
\(415\) | −3.03460 | + | 6.83755i | −0.148963 | + | 0.335642i | ||||
\(416\) | 22.5762 | − | 10.0516i | 1.10689 | − | 0.492820i | ||||
\(417\) | −43.4044 | − | 9.22590i | −2.12552 | − | 0.451794i | ||||
\(418\) | 6.76622 | + | 11.7194i | 0.330947 | + | 0.573216i | ||||
\(419\) | −5.56823 | − | 17.1373i | −0.272026 | − | 0.837210i | −0.989991 | − | 0.141130i | \(-0.954926\pi\) |
0.717965 | − | 0.696079i | \(-0.245074\pi\) | |||||||
\(420\) | −78.9392 | − | 17.1411i | −3.85184 | − | 0.836400i | ||||
\(421\) | 2.84520 | − | 8.75661i | 0.138666 | − | 0.426771i | −0.857476 | − | 0.514524i | \(-0.827969\pi\) |
0.996142 | + | 0.0877529i | \(0.0279686\pi\) | |||||||
\(422\) | 41.7062 | − | 8.86493i | 2.03023 | − | 0.431538i | ||||
\(423\) | 4.35575 | + | 41.4421i | 0.211784 | + | 2.01499i | ||||
\(424\) | −18.2850 | + | 31.6706i | −0.887998 | + | 1.53806i | ||||
\(425\) | 0.853038 | − | 8.30486i | 0.0413784 | − | 0.402845i | ||||
\(426\) | 38.2334 | 1.85242 | ||||||||
\(427\) | 0.506088 | + | 2.44787i | 0.0244913 | + | 0.118461i | ||||
\(428\) | −2.83562 | + | 8.72713i | −0.137065 | + | 0.421842i | ||||
\(429\) | 5.96047 | − | 1.26694i | 0.287774 | − | 0.0611683i | ||||
\(430\) | 7.11969 | + | 15.9404i | 0.343342 | + | 0.768712i | ||||
\(431\) | −13.3365 | − | 2.83477i | −0.642399 | − | 0.136546i | −0.124817 | − | 0.992180i | \(-0.539834\pi\) |
−0.517582 | + | 0.855634i | \(0.673168\pi\) | |||||||
\(432\) | 16.5543 | + | 28.6728i | 0.796467 | + | 1.37952i | ||||
\(433\) | 4.49252 | + | 13.8265i | 0.215897 | + | 0.664461i | 0.999089 | + | 0.0426815i | \(0.0135901\pi\) |
−0.783192 | + | 0.621780i | \(0.786410\pi\) | |||||||
\(434\) | 0.135969 | − | 24.4292i | 0.00652673 | − | 1.17264i | ||||
\(435\) | −28.8931 | − | 9.35019i | −1.38532 | − | 0.448307i | ||||
\(436\) | 19.8694 | + | 8.84642i | 0.951571 | + | 0.423667i | ||||
\(437\) | 24.4447 | − | 10.8835i | 1.16935 | − | 0.520628i | ||||
\(438\) | 7.87898 | − | 3.50795i | 0.376472 | − | 0.167616i | ||||
\(439\) | −21.7546 | − | 9.68576i | −1.03829 | − | 0.462276i | −0.184466 | − | 0.982839i | \(-0.559055\pi\) |
−0.853823 | + | 0.520563i | \(0.825722\pi\) | |||||||
\(440\) | 26.5469 | + | 8.59093i | 1.26557 | + | 0.409557i | ||||
\(441\) | −25.5783 | − | 11.7311i | −1.21801 | − | 0.558622i | ||||
\(442\) | 2.14520 | + | 6.60225i | 0.102037 | + | 0.314037i | ||||
\(443\) | −1.40716 | − | 2.43728i | −0.0668563 | − | 0.115798i | 0.830660 | − | 0.556781i | \(-0.187964\pi\) |
−0.897516 | + | 0.440982i | \(0.854630\pi\) | |||||||
\(444\) | −20.9934 | − | 4.46229i | −0.996304 | − | 0.211771i | ||||
\(445\) | −14.4048 | − | 32.2510i | −0.682851 | − | 1.52885i | ||||
\(446\) | 5.52345 | − | 1.17405i | 0.261543 | − | 0.0555927i | ||||
\(447\) | −6.45271 | + | 19.8594i | −0.305203 | + | 0.939317i | ||||
\(448\) | 45.2555 | + | 14.9834i | 2.13812 | + | 0.707898i | ||||
\(449\) | 30.5712 | 1.44275 | 0.721373 | − | 0.692547i | \(-0.243512\pi\) | ||||
0.721373 | + | 0.692547i | \(0.243512\pi\) | |||||||
\(450\) | −49.1632 | − | 21.7498i | −2.31757 | − | 1.02529i | ||||
\(451\) | 4.28827 | − | 7.42750i | 0.201927 | − | 0.349747i | ||||
\(452\) | −9.14962 | − | 87.0528i | −0.430362 | − | 4.09462i | ||||
\(453\) | 36.4031 | − | 7.73772i | 1.71037 | − | 0.363550i | ||||
\(454\) | 5.86054 | − | 18.0369i | 0.275049 | − | 0.846512i | ||||
\(455\) | −6.18356 | + | 6.80728i | −0.289890 | + | 0.319130i | ||||
\(456\) | 23.6150 | + | 72.6796i | 1.10587 | + | 3.40353i | ||||
\(457\) | 0.852532 | + | 1.47663i | 0.0398798 | + | 0.0690738i | 0.885276 | − | 0.465065i | \(-0.153969\pi\) |
−0.845397 | + | 0.534139i | \(0.820636\pi\) | |||||||
\(458\) | 41.7226 | + | 8.86841i | 1.94957 | + | 0.414394i | ||||
\(459\) | −4.12237 | + | 1.83540i | −0.192416 | + | 0.0856691i | ||||
\(460\) | 36.5757 | − | 82.4123i | 1.70535 | − | 3.84249i | ||||
\(461\) | −19.9938 | + | 14.5263i | −0.931204 | + | 0.676559i | −0.946287 | − | 0.323327i | \(-0.895199\pi\) |
0.0150832 | + | 0.999886i | \(0.495199\pi\) | |||||||
\(462\) | 23.9453 | + | 14.0031i | 1.11403 | + | 0.651482i | ||||
\(463\) | 19.4608 | + | 14.1391i | 0.904420 | + | 0.657100i | 0.939598 | − | 0.342281i | \(-0.111200\pi\) |
−0.0351773 | + | 0.999381i | \(0.511200\pi\) | |||||||
\(464\) | 57.3668 | + | 25.5414i | 2.66319 | + | 1.18573i | ||||
\(465\) | 4.22884 | − | 20.0114i | 0.196108 | − | 0.928005i | ||||
\(466\) | −43.2555 | + | 19.2586i | −2.00377 | + | 0.892136i | ||||
\(467\) | −14.7866 | + | 16.4221i | −0.684240 | + | 0.759926i | −0.980785 | − | 0.195093i | \(-0.937499\pi\) |
0.296544 | + | 0.955019i | \(0.404166\pi\) | |||||||
\(468\) | 32.2040 | 1.48863 | ||||||||
\(469\) | −9.75749 | − | 22.2481i | −0.450559 | − | 1.02732i | ||||
\(470\) | 36.4977 | + | 50.1102i | 1.68351 | + | 2.31141i | ||||
\(471\) | −30.0917 | + | 6.39619i | −1.38655 | + | 0.294721i | ||||
\(472\) | −31.9897 | − | 35.5281i | −1.47244 | − | 1.63531i | ||||
\(473\) | −0.451449 | − | 4.29525i | −0.0207577 | − | 0.197496i | ||||
\(474\) | −10.9507 | − | 18.9672i | −0.502982 | − | 0.871190i | ||||
\(475\) | −13.8571 | − | 10.0178i | −0.635807 | − | 0.459649i | ||||
\(476\) | −9.37534 | + | 20.7458i | −0.429718 | + | 0.950883i | ||||
\(477\) | −14.1018 | + | 10.2455i | −0.645676 | + | 0.469111i | ||||
\(478\) | 27.3736 | − | 5.81844i | 1.25204 | − | 0.266129i | ||||
\(479\) | 16.5324 | + | 18.3611i | 0.755385 | + | 0.838940i | 0.991133 | − | 0.132874i | \(-0.0424207\pi\) |
−0.235748 | + | 0.971814i | \(0.575754\pi\) | |||||||
\(480\) | 81.6232 | + | 46.9967i | 3.72557 | + | 2.14510i | ||||
\(481\) | −1.63499 | + | 1.81584i | −0.0745491 | + | 0.0827951i | ||||
\(482\) | 32.9689 | 1.50169 | ||||||||
\(483\) | 32.4862 | − | 44.1940i | 1.47817 | − | 2.01090i | ||||
\(484\) | 36.7349 | + | 26.6895i | 1.66977 | + | 1.21316i | ||||
\(485\) | 9.18479 | − | 5.31732i | 0.417060 | − | 0.241447i | ||||
\(486\) | −5.89589 | − | 56.0957i | −0.267443 | − | 2.54455i | ||||
\(487\) | −20.4975 | + | 9.12607i | −0.928830 | + | 0.413542i | −0.814673 | − | 0.579921i | \(-0.803083\pi\) |
−0.114157 | + | 0.993463i | \(0.536417\pi\) | |||||||
\(488\) | 0.832913 | − | 7.92464i | 0.0377042 | − | 0.358732i | ||||
\(489\) | −50.6301 | + | 36.7850i | −2.28957 | + | 1.66347i | ||||
\(490\) | −41.6760 | + | 3.96149i | −1.88273 | + | 0.178962i | ||||
\(491\) | 9.71705 | + | 7.05985i | 0.438524 | + | 0.318607i | 0.785048 | − | 0.619434i | \(-0.212638\pi\) |
−0.346524 | + | 0.938041i | \(0.612638\pi\) | |||||||
\(492\) | 52.9623 | − | 58.8206i | 2.38773 | − | 2.65184i | ||||
\(493\) | −4.27935 | + | 7.41205i | −0.192732 | + | 0.333822i | ||||
\(494\) | 13.9075 | + | 2.95613i | 0.625729 | + | 0.133003i | ||||
\(495\) | 9.89388 | + | 8.88735i | 0.444697 | + | 0.399457i | ||||
\(496\) | −13.0694 | + | 40.2235i | −0.586834 | + | 1.80609i | ||||
\(497\) | 13.6004 | − | 4.33549i | 0.610061 | − | 0.194474i | ||||
\(498\) | 19.1796 | − | 13.9348i | 0.859460 | − | 0.624434i | ||||
\(499\) | −9.01296 | − | 15.6109i | −0.403476 | − | 0.698840i | 0.590667 | − | 0.806915i | \(-0.298865\pi\) |
−0.994143 | + | 0.108075i | \(0.965531\pi\) | |||||||
\(500\) | −57.2795 | + | 6.22568i | −2.56162 | + | 0.278421i | ||||
\(501\) | 8.06525 | − | 13.9694i | 0.360329 | − | 0.624108i | ||||
\(502\) | 24.6890 | + | 10.9922i | 1.10192 | + | 0.490608i | ||||
\(503\) | 7.35582 | − | 22.6389i | 0.327980 | − | 1.00942i | −0.642098 | − | 0.766623i | \(-0.721936\pi\) |
0.970078 | − | 0.242795i | \(-0.0780644\pi\) | |||||||
\(504\) | 66.3282 | + | 60.3940i | 2.95449 | + | 2.69016i | ||||
\(505\) | 17.0033 | − | 5.54693i | 0.756638 | − | 0.246835i | ||||
\(506\) | −20.7177 | + | 23.0093i | −0.921013 | + | 1.02289i | ||||
\(507\) | −14.0207 | + | 24.2846i | −0.622683 | + | 1.07852i | ||||
\(508\) | −66.3804 | − | 14.1096i | −2.94515 | − | 0.626011i | ||||
\(509\) | 1.40708 | − | 13.3874i | 0.0623675 | − | 0.593387i | −0.918051 | − | 0.396462i | \(-0.870238\pi\) |
0.980419 | − | 0.196925i | \(-0.0630955\pi\) | |||||||
\(510\) | −15.5261 | + | 21.4231i | −0.687509 | + | 0.948630i | ||||
\(511\) | 2.40492 | − | 2.14129i | 0.106388 | − | 0.0947249i | ||||
\(512\) | 9.61820 | + | 6.98803i | 0.425068 | + | 0.308830i | ||||
\(513\) | −0.966075 | + | 9.19159i | −0.0426533 | + | 0.405819i | ||||
\(514\) | −8.53346 | − | 81.1904i | −0.376395 | − | 3.58116i | ||||
\(515\) | −6.99704 | − | 4.02873i | −0.308326 | − | 0.177527i | ||||
\(516\) | 4.16633 | − | 39.6400i | 0.183412 | − | 1.74505i | ||||
\(517\) | −4.73916 | − | 14.5856i | −0.208428 | − | 0.641476i | ||||
\(518\) | −11.0683 | + | 1.10108i | −0.486315 | + | 0.0483787i | ||||
\(519\) | −19.4143 | − | 59.7511i | −0.852193 | − | 2.62278i | ||||
\(520\) | 25.3713 | − | 14.6882i | 1.11261 | − | 0.644118i | ||||
\(521\) | −27.8410 | − | 30.9205i | −1.21973 | − | 1.35465i | −0.915634 | − | 0.402013i | \(-0.868311\pi\) |
−0.304101 | − | 0.952640i | \(-0.598356\pi\) | |||||||
\(522\) | 36.8775 | + | 40.9566i | 1.61409 | + | 1.79262i | ||||
\(523\) | −27.3918 | − | 12.1956i | −1.19776 | − | 0.533278i | −0.291735 | − | 0.956499i | \(-0.594233\pi\) |
−0.906026 | + | 0.423221i | \(0.860899\pi\) | |||||||
\(524\) | −78.6476 | −3.43574 | ||||||||
\(525\) | −34.8461 | − | 3.77534i | −1.52081 | − | 0.164769i | ||||
\(526\) | −69.6497 | −3.03687 | ||||||||
\(527\) | −5.26600 | − | 2.34458i | −0.229391 | − | 0.102131i | ||||
\(528\) | −32.1339 | − | 35.6883i | −1.39845 | − | 1.55313i | ||||
\(529\) | 25.5756 | + | 28.4046i | 1.11198 | + | 1.23498i | ||||
\(530\) | −10.5194 | + | 23.7022i | −0.456931 | + | 1.02956i | ||||
\(531\) | −7.04162 | − | 21.6719i | −0.305580 | − | 0.940479i | ||||
\(532\) | 27.1967 | + | 37.8746i | 1.17913 | + | 1.64207i | ||||
\(533\) | −2.78460 | − | 8.57012i | −0.120615 | − | 0.371213i | ||||
\(534\) | −11.7008 | + | 111.326i | −0.506345 | + | 4.81755i | ||||
\(535\) | −0.823215 | + | 3.89555i | −0.0355907 | + | 0.168419i | ||||
\(536\) | 8.09500 | + | 77.0188i | 0.349651 | + | 3.32670i | ||||
\(537\) | −6.03820 | + | 57.4496i | −0.260567 | + | 2.47913i | ||||
\(538\) | −20.4313 | − | 14.8442i | −0.880856 | − | 0.639979i | ||||
\(539\) | 10.1057 | + | 2.26589i | 0.435283 | + | 0.0975987i | ||||
\(540\) | 18.3349 | + | 25.1733i | 0.789010 | + | 1.08329i | ||||
\(541\) | −1.42684 | + | 13.5754i | −0.0613445 | + | 0.583654i | 0.920070 | + | 0.391754i | \(0.128132\pi\) |
−0.981415 | + | 0.191900i | \(0.938535\pi\) | |||||||
\(542\) | −5.82617 | − | 1.23839i | −0.250255 | − | 0.0531934i | ||||
\(543\) | −6.92977 | + | 12.0027i | −0.297385 | + | 0.515086i | ||||
\(544\) | 17.7617 | − | 19.7264i | 0.761528 | − | 0.845763i | ||||
\(545\) | 8.97878 | + | 2.90566i | 0.384609 | + | 0.124465i | ||||
\(546\) | 27.7681 | − | 8.85186i | 1.18837 | − | 0.378824i | ||||
\(547\) | −11.4664 | + | 35.2900i | −0.490269 | + | 1.50889i | 0.333934 | + | 0.942597i | \(0.391624\pi\) |
−0.824202 | + | 0.566295i | \(0.808376\pi\) | |||||||
\(548\) | −54.0199 | − | 24.0512i | −2.30761 | − | 1.02742i | ||||
\(549\) | 1.89901 | − | 3.28918i | 0.0810476 | − | 0.140379i | ||||
\(550\) | 19.3627 | + | 4.06788i | 0.825630 | + | 0.173455i | ||||
\(551\) | 8.76470 | + | 15.1809i | 0.373389 | + | 0.646729i | ||||
\(552\) | −141.455 | + | 102.773i | −6.02071 | + | 4.37431i | ||||
\(553\) | −6.04616 | − | 5.50523i | −0.257109 | − | 0.234106i | ||||
\(554\) | −9.96321 | + | 30.6636i | −0.423296 | + | 1.30277i | ||||
\(555\) | −9.26270 | − | 0.962485i | −0.393180 | − | 0.0408552i | ||||
\(556\) | 84.4227 | + | 17.9446i | 3.58032 | + | 0.761021i | ||||
\(557\) | 8.68075 | − | 15.0355i | 0.367815 | − | 0.637074i | −0.621409 | − | 0.783487i | \(-0.713439\pi\) |
0.989224 | + | 0.146412i | \(0.0467726\pi\) | |||||||
\(558\) | −24.8373 | + | 27.5846i | −1.05145 | + | 1.16775i | ||||
\(559\) | −3.67114 | − | 2.66724i | −0.155273 | − | 0.112812i | ||||
\(560\) | 70.8261 | + | 15.3794i | 2.99295 | + | 0.649898i | ||||
\(561\) | 5.29526 | − | 3.84723i | 0.223566 | − | 0.162430i | ||||
\(562\) | 2.78279 | − | 26.4765i | 0.117385 | − | 1.11684i | ||||
\(563\) | −23.1092 | + | 10.2889i | −0.973936 | + | 0.433624i | −0.831101 | − | 0.556122i | \(-0.812289\pi\) |
−0.142836 | + | 0.989746i | \(0.545622\pi\) | |||||||
\(564\) | −14.7944 | − | 140.760i | −0.622958 | − | 5.92705i | ||||
\(565\) | −7.94045 | − | 37.1410i | −0.334057 | − | 1.56254i | ||||
\(566\) | −26.8369 | − | 19.4982i | −1.12804 | − | 0.819569i | ||||
\(567\) | −5.20650 | − | 11.8714i | −0.218652 | − | 0.498551i | ||||
\(568\) | −45.5045 | −1.90933 | ||||||||
\(569\) | −1.98338 | + | 2.20277i | −0.0831478 | + | 0.0923450i | −0.783283 | − | 0.621665i | \(-0.786456\pi\) |
0.700135 | + | 0.714010i | \(0.253123\pi\) | |||||||
\(570\) | 22.0991 | + | 49.4780i | 0.925630 | + | 2.07241i | ||||
\(571\) | −0.976555 | − | 1.08457i | −0.0408675 | − | 0.0453880i | 0.722364 | − | 0.691513i | \(-0.243055\pi\) |
−0.763232 | + | 0.646125i | \(0.776389\pi\) | |||||||
\(572\) | −11.5933 | + | 2.46423i | −0.484739 | + | 0.103034i | ||||
\(573\) | 45.2620 | − | 32.8848i | 1.89085 | − | 1.37378i | ||||
\(574\) | 16.8927 | − | 37.3804i | 0.705090 | − | 1.56023i | ||||
\(575\) | 12.0015 | − | 37.2360i | 0.500497 | − | 1.55285i | ||||
\(576\) | −36.2165 | − | 62.7288i | −1.50902 | − | 2.61370i | ||||
\(577\) | 1.44281 | + | 13.7274i | 0.0600650 | + | 0.571480i | 0.982622 | + | 0.185619i | \(0.0594290\pi\) |
−0.922557 | + | 0.385861i | \(0.873904\pi\) | |||||||
\(578\) | −25.4346 | − | 28.2480i | −1.05794 | − | 1.17496i | ||||
\(579\) | 51.3805 | − | 10.9213i | 2.13530 | − | 0.453872i | ||||
\(580\) | 56.1977 | + | 18.1864i | 2.33348 | + | 0.755148i | ||||
\(581\) | 5.24243 | − | 7.13177i | 0.217493 | − | 0.295876i | ||||
\(582\) | −33.6338 | −1.39417 | ||||||||
\(583\) | 4.29258 | − | 4.76740i | 0.177781 | − | 0.197445i | ||||
\(584\) | −9.37737 | + | 4.17507i | −0.388038 | + | 0.172766i | ||||
\(585\) | 13.8951 | − | 1.47703i | 0.574491 | − | 0.0610678i | ||||
\(586\) | 16.8287 | + | 7.49261i | 0.695186 | + | 0.309517i | ||||
\(587\) | −15.7734 | − | 11.4600i | −0.651038 | − | 0.473007i | 0.212587 | − | 0.977142i | \(-0.431811\pi\) |
−0.863624 | + | 0.504136i | \(0.831811\pi\) | |||||||
\(588\) | 86.8774 | + | 39.8449i | 3.58276 | + | 1.64318i | ||||
\(589\) | −9.55142 | + | 6.93951i | −0.393559 | + | 0.285938i | ||||
\(590\) | −25.2196 | − | 22.6540i | −1.03828 | − | 0.932649i | ||||
\(591\) | 22.3231 | − | 9.93887i | 0.918248 | − | 0.408830i | ||||
\(592\) | 18.8358 | + | 4.00367i | 0.774147 | + | 0.164550i | ||||
\(593\) | 5.12863 | + | 8.88305i | 0.210608 | + | 0.364783i | 0.951905 | − | 0.306394i | \(-0.0991225\pi\) |
−0.741297 | + | 0.671177i | \(0.765789\pi\) | |||||||
\(594\) | −3.30471 | − | 10.1709i | −0.135594 | − | 0.417316i | ||||
\(595\) | −3.09367 | + | 9.38120i | −0.126828 | + | 0.384592i | ||||
\(596\) | 12.5507 | − | 38.6270i | 0.514096 | − | 1.58222i | ||||
\(597\) | 54.6314 | − | 11.6123i | 2.23591 | − | 0.475258i | ||||
\(598\) | 3.40043 | + | 32.3529i | 0.139054 | + | 1.32301i | ||||
\(599\) | 15.2472 | − | 26.4089i | 0.622983 | − | 1.07904i | −0.365944 | − | 0.930637i | \(-0.619254\pi\) |
0.988927 | − | 0.148402i | \(-0.0474129\pi\) | |||||||
\(600\) | 102.179 | + | 45.2039i | 4.17144 | + | 1.84544i | ||||
\(601\) | 33.5779 | 1.36967 | 0.684836 | − | 0.728697i | \(-0.259874\pi\) | ||||
0.684836 | + | 0.728697i | \(0.259874\pi\) | |||||||
\(602\) | −4.18224 | − | 20.2289i | −0.170456 | − | 0.824468i | ||||
\(603\) | −11.4066 | + | 35.1059i | −0.464512 | + | 1.42962i | ||||
\(604\) | −70.8050 | + | 15.0501i | −2.88102 | + | 0.612379i | ||||
\(605\) | 17.0741 | + | 9.83087i | 0.694162 | + | 0.399682i | ||||
\(606\) | −55.4420 | − | 11.7846i | −2.25218 | − | 0.478715i | ||||
\(607\) | −12.9171 | − | 22.3731i | −0.524289 | − | 0.908095i | −0.999600 | − | 0.0282770i | \(-0.990998\pi\) |
0.475311 | − | 0.879818i | \(-0.342335\pi\) | |||||||
\(608\) | −16.8003 | − | 51.7059i | −0.681341 | − | 2.09695i | ||||
\(609\) | 31.0178 | + | 18.1391i | 1.25690 | + | 0.735032i | ||||
\(610\) | −0.00667644 | − | 5.65028i | −0.000270321 | − | 0.228773i | ||||
\(611\) | −14.7204 | − | 6.55393i | −0.595522 | − | 0.265143i | ||||
\(612\) | 31.6005 | − | 14.0694i | 1.27737 | − | 0.568723i | ||||
\(613\) | 38.3998 | − | 17.0967i | 1.55095 | − | 0.690529i | 0.560472 | − | 0.828173i | \(-0.310620\pi\) |
0.990482 | + | 0.137644i | \(0.0439531\pi\) | |||||||
\(614\) | 4.90270 | + | 2.18282i | 0.197857 | + | 0.0880916i | ||||
\(615\) | 20.1539 | − | 27.8084i | 0.812682 | − | 1.12134i | ||||
\(616\) | −28.4991 | − | 16.6661i | −1.14826 | − | 0.671497i | ||||
\(617\) | −11.2614 | − | 34.6590i | −0.453366 | − | 1.39532i | −0.873043 | − | 0.487644i | \(-0.837857\pi\) |
0.419677 | − | 0.907674i | \(-0.362143\pi\) | |||||||
\(618\) | 12.7938 | + | 22.1594i | 0.514641 | + | 0.891384i | ||||
\(619\) | 24.1941 | + | 5.14261i | 0.972442 | + | 0.206699i | 0.666626 | − | 0.745392i | \(-0.267738\pi\) |
0.305815 | + | 0.952091i | \(0.401071\pi\) | |||||||
\(620\) | −8.22520 | + | 38.9226i | −0.330332 | + | 1.56317i | ||||
\(621\) | −20.6840 | + | 4.39652i | −0.830021 | + | 0.176426i | ||||
\(622\) | 3.50155 | − | 10.7767i | 0.140399 | − | 0.432105i | ||||
\(623\) | 8.46164 | + | 40.9277i | 0.339009 | + | 1.63973i | ||||
\(624\) | −50.4570 | −2.01989 | ||||||||
\(625\) | −24.4288 | + | 5.31331i | −0.977154 | + | 0.212533i | ||||
\(626\) | −20.6134 | + | 35.7034i | −0.823877 | + | 1.42700i | ||||
\(627\) | −1.40127 | − | 13.3322i | −0.0559615 | − | 0.532438i | ||||
\(628\) | 58.5292 | − | 12.4408i | 2.33557 | − | 0.496440i | ||||
\(629\) | −0.811035 | + | 2.49611i | −0.0323381 | + | 0.0995263i | ||||
\(630\) | 51.2963 | + | 37.6137i | 2.04369 | + | 1.49856i | ||||
\(631\) | 11.5757 | + | 35.6262i | 0.460820 | + | 1.41826i | 0.864165 | + | 0.503209i | \(0.167847\pi\) |
−0.403345 | + | 0.915048i | \(0.632153\pi\) | |||||||
\(632\) | 13.0332 | + | 22.5742i | 0.518435 | + | 0.897955i | ||||
\(633\) | −41.3156 | − | 8.78189i | −1.64215 | − | 0.349049i | ||||
\(634\) | −16.4617 | + | 7.32922i | −0.653777 | + | 0.291080i | ||||
\(635\) | −29.2883 | − | 3.04334i | −1.16227 | − | 0.120771i | ||||
\(636\) | 47.8972 | − | 34.7993i | 1.89925 | − | 1.37988i | ||||
\(637\) | 8.87392 | − | 6.29756i | 0.351597 | − | 0.249518i | ||||
\(638\) | −16.4097 | − | 11.9223i | −0.649665 | − | 0.472009i | ||||
\(639\) | −19.8142 | − | 8.82184i | −0.783836 | − | 0.348986i | ||||
\(640\) | −31.7715 | − | 18.2933i | −1.25588 | − | 0.723105i | ||||
\(641\) | −9.88589 | + | 4.40148i | −0.390469 | + | 0.173848i | −0.592574 | − | 0.805516i | \(-0.701888\pi\) |
0.202105 | + | 0.979364i | \(0.435222\pi\) | |||||||
\(642\) | 8.44320 | − | 9.37712i | 0.333227 | − | 0.370086i | ||||
\(643\) | −29.1651 | −1.15016 | −0.575081 | − | 0.818097i | \(-0.695029\pi\) | ||||
−0.575081 | + | 0.818097i | \(0.695029\pi\) | |||||||
\(644\) | −63.1865 | + | 85.9585i | −2.48990 | + | 3.38724i | ||||
\(645\) | −0.0204355 | − | 17.2945i | −0.000804645 | − | 0.680972i | ||||
\(646\) | 14.9383 | − | 3.17524i | 0.587742 | − | 0.124928i | ||||
\(647\) | 16.3894 | + | 18.2023i | 0.644334 | + | 0.715605i | 0.973505 | − | 0.228665i | \(-0.0734361\pi\) |
−0.329172 | + | 0.944270i | \(0.606769\pi\) | |||||||
\(648\) | 4.31941 | + | 41.0965i | 0.169683 | + | 1.61442i | ||||
\(649\) | 4.19326 | + | 7.26294i | 0.164600 | + | 0.285095i | ||||
\(650\) | 16.7890 | − | 12.2586i | 0.658519 | − | 0.480824i | ||||
\(651\) | −9.96621 | + | 22.0533i | −0.390606 | + | 0.864337i | ||||
\(652\) | 98.4769 | − | 71.5477i | 3.85665 | − | 2.80202i | ||||
\(653\) | −0.837787 | + | 0.178077i | −0.0327851 | + | 0.00696870i | −0.224275 | − | 0.974526i | \(-0.572001\pi\) |
0.191490 | + | 0.981495i | \(0.438668\pi\) | |||||||
\(654\) | −20.0123 | − | 22.2259i | −0.782541 | − | 0.869100i | ||||
\(655\) | −33.9341 | + | 3.60716i | −1.32591 | + | 0.140943i | ||||
\(656\) | −47.5190 | + | 52.7752i | −1.85531 | + | 2.06053i | ||||
\(657\) | −4.89263 | −0.190880 | ||||||||
\(658\) | −29.4611 | − | 67.1744i | −1.14851 | − | 2.61873i | ||||
\(659\) | −1.20219 | − | 0.873441i | −0.0468306 | − | 0.0340244i | 0.564124 | − | 0.825690i | \(-0.309214\pi\) |
−0.610954 | + | 0.791666i | \(0.709214\pi\) | |||||||
\(660\) | −33.6049 | − | 30.1862i | −1.30807 | − | 1.17499i | ||||
\(661\) | −1.53230 | − | 14.5789i | −0.0595996 | − | 0.567053i | −0.983050 | − | 0.183336i | \(-0.941310\pi\) |
0.923451 | − | 0.383717i | \(-0.125356\pi\) | |||||||
\(662\) | 73.6794 | − | 32.8042i | 2.86363 | − | 1.27497i | ||||
\(663\) | 0.718841 | − | 6.83932i | 0.0279175 | − | 0.265617i | ||||
\(664\) | −22.8271 | + | 16.5849i | −0.885865 | + | 0.643618i | ||||
\(665\) | 13.4717 | + | 15.0944i | 0.522409 | + | 0.585334i | ||||
\(666\) | 13.6728 | + | 9.93387i | 0.529810 | + | 0.384930i | ||||
\(667\) | −26.8369 | + | 29.8054i | −1.03913 | + | 1.15407i | ||||
\(668\) | −15.6871 | + | 27.1709i | −0.606953 | + | 1.05127i | ||||
\(669\) | −5.47171 | − | 1.16305i | −0.211549 | − | 0.0449661i | ||||
\(670\) | 11.4808 | + | 53.7010i | 0.443543 | + | 2.07465i | ||||
\(671\) | −0.431947 | + | 1.32940i | −0.0166751 | + | 0.0513207i | ||||
\(672\) | −82.4017 | − | 75.0295i | −3.17871 | − | 2.89432i | ||||
\(673\) | −26.9363 | + | 19.5703i | −1.03832 | + | 0.754381i | −0.969956 | − | 0.243279i | \(-0.921777\pi\) |
−0.0683607 | + | 0.997661i | \(0.521777\pi\) | |||||||
\(674\) | 12.4873 | + | 21.6287i | 0.480994 | + | 0.833106i | ||||
\(675\) | 9.06555 | + | 10.0206i | 0.348933 | + | 0.385692i | ||||
\(676\) | 27.2707 | − | 47.2342i | 1.04887 | − | 1.81670i | ||||
\(677\) | 8.32867 | + | 3.70816i | 0.320097 | + | 0.142516i | 0.560494 | − | 0.828158i | \(-0.310611\pi\) |
−0.240398 | + | 0.970675i | \(0.577278\pi\) | |||||||
\(678\) | −37.1948 | + | 114.474i | −1.42846 | + | 4.39634i | ||||
\(679\) | −11.9642 | + | 3.81391i | −0.459144 | + | 0.146365i | ||||
\(680\) | 18.4788 | − | 25.4972i | 0.708630 | − | 0.977774i | ||||
\(681\) | −12.5712 | + | 13.9618i | −0.481731 | + | 0.535017i | ||||
\(682\) | 6.83054 | − | 11.8308i | 0.261555 | − | 0.453027i | ||||
\(683\) | 45.7920 | + | 9.73339i | 1.75218 | + | 0.372438i | 0.968556 | − | 0.248796i | \(-0.0800349\pi\) |
0.783625 | + | 0.621234i | \(0.213368\pi\) | |||||||
\(684\) | 7.40555 | − | 70.4591i | 0.283158 | − | 2.69407i | ||||
\(685\) | −24.4111 | − | 7.89976i | −0.932699 | − | 0.301834i | ||||
\(686\) | 49.1693 | + | 5.99951i | 1.87729 | + | 0.229062i | ||||
\(687\) | −34.1851 | − | 24.8369i | −1.30424 | − | 0.947588i | ||||
\(688\) | −3.73813 | + | 35.5659i | −0.142515 | + | 1.35594i | ||||
\(689\) | −0.704549 | − | 6.70334i | −0.0268412 | − | 0.255377i | ||||
\(690\) | −92.0398 | + | 83.0702i | −3.50390 | + | 3.16243i | ||||
\(691\) | 1.32045 | − | 12.5632i | 0.0502321 | − | 0.477927i | −0.940270 | − | 0.340430i | \(-0.889428\pi\) |
0.990502 | − | 0.137497i | \(-0.0439058\pi\) | |||||||
\(692\) | 37.7613 | + | 116.217i | 1.43547 | + | 4.41792i | ||||
\(693\) | −9.17842 | − | 12.7820i | −0.348659 | − | 0.485549i | ||||
\(694\) | −0.721729 | − | 2.22125i | −0.0273964 | − | 0.0843176i | ||||
\(695\) | 37.2489 | + | 3.87052i | 1.41293 | + | 0.146817i | ||||
\(696\) | −76.6449 | − | 85.1227i | −2.90522 | − | 3.22657i | ||||
\(697\) | −6.47657 | − | 7.19296i | −0.245317 | − | 0.272453i | ||||
\(698\) | 45.1972 | + | 20.1231i | 1.71074 | + | 0.761670i | ||||
\(699\) | 46.9055 | 1.77413 | ||||||||
\(700\) | 67.7765 | + | 7.34313i | 2.56171 | + | 0.277544i | ||||
\(701\) | −27.5102 | −1.03905 | −0.519523 | − | 0.854457i | \(-0.673890\pi\) | ||||
−0.519523 | + | 0.854457i | \(0.673890\pi\) | |||||||
\(702\) | −10.2648 | − | 4.57018i | −0.387420 | − | 0.172491i | ||||
\(703\) | 3.59689 | + | 3.99475i | 0.135659 | + | 0.150665i | ||||
\(704\) | 17.8377 | + | 19.8108i | 0.672283 | + | 0.746646i | ||||
\(705\) | −12.8393 | − | 60.0550i | −0.483555 | − | 2.26180i | ||||
\(706\) | 10.6501 | + | 32.7775i | 0.400821 | + | 1.23360i | ||||
\(707\) | −21.0581 | + | 2.09487i | −0.791973 | + | 0.0787856i | ||||
\(708\) | 23.9171 | + | 73.6092i | 0.898859 | + | 2.76640i | ||||
\(709\) | −0.599497 | + | 5.70383i | −0.0225146 | + | 0.214212i | 0.977480 | + | 0.211026i | \(0.0676806\pi\) |
−0.999995 | + | 0.00318544i | \(0.998986\pi\) | |||||||
\(710\) | −32.0863 | + | 3.41074i | −1.20418 | + | 0.128003i | ||||
\(711\) | 1.29870 | + | 12.3563i | 0.0487050 | + | 0.463397i | ||||
\(712\) | 13.9261 | − | 132.498i | 0.521901 | − | 4.96556i | ||||
\(713\) | −21.8535 | − | 15.8775i | −0.818421 | − | 0.594618i | ||||
\(714\) | 23.3805 | − | 20.8174i | 0.874993 | − | 0.779073i | ||||
\(715\) | −4.88913 | + | 1.59496i | −0.182843 | + | 0.0596483i | ||||
\(716\) | 11.7444 | − | 111.741i | 0.438911 | − | 4.17596i | ||||
\(717\) | −27.1172 | − | 5.76393i | −1.01271 | − | 0.215258i | ||||
\(718\) | 38.5835 | − | 66.8285i | 1.43992 | − | 2.49402i | ||||
\(719\) | −16.0572 | + | 17.8333i | −0.598831 | + | 0.665069i | −0.964009 | − | 0.265868i | \(-0.914341\pi\) |
0.365178 | + | 0.930938i | \(0.381008\pi\) | |||||||
\(720\) | −64.8337 | − | 89.0146i | −2.41621 | − | 3.31738i | ||||
\(721\) | 7.06377 | + | 6.43180i | 0.263069 | + | 0.239533i | ||||
\(722\) | −6.03751 | + | 18.5815i | −0.224693 | + | 0.691533i | ||||
\(723\) | −29.8365 | − | 13.2840i | −1.10963 | − | 0.494039i | ||||
\(724\) | 13.4786 | − | 23.3456i | 0.500928 | − | 0.867632i | ||||
\(725\) | 25.0818 | + | 5.26937i | 0.931513 | + | 0.195700i | ||||
\(726\) | −31.2193 | − | 54.0733i | −1.15866 | − | 2.00685i | ||||
\(727\) | 30.2233 | − | 21.9585i | 1.12092 | − | 0.814395i | 0.136571 | − | 0.990630i | \(-0.456392\pi\) |
0.984348 | + | 0.176235i | \(0.0563919\pi\) | |||||||
\(728\) | −33.0490 | + | 10.5353i | −1.22488 | + | 0.390463i | ||||
\(729\) | −12.7246 | + | 39.1623i | −0.471282 | + | 1.45046i | ||||
\(730\) | −6.29926 | + | 3.64681i | −0.233146 | + | 0.134975i | ||||
\(731\) | −4.76761 | − | 1.01339i | −0.176337 | − | 0.0374815i | ||||
\(732\) | −6.45004 | + | 11.1718i | −0.238400 | + | 0.412921i | ||||
\(733\) | −28.0799 | + | 31.1859i | −1.03716 | + | 1.15188i | −0.0489420 | + | 0.998802i | \(0.515585\pi\) |
−0.988214 | + | 0.153077i | \(0.951082\pi\) | |||||||
\(734\) | 5.30342 | + | 3.85316i | 0.195753 | + | 0.142223i | ||||
\(735\) | 39.3125 | + | 13.2073i | 1.45006 | + | 0.487158i | ||||
\(736\) | 100.634 | − | 73.1150i | 3.70942 | − | 2.69505i | ||||
\(737\) | 1.42004 | − | 13.5107i | 0.0523077 | − | 0.497675i | ||||
\(738\) | −56.9386 | + | 25.3507i | −2.09594 | + | 0.933173i | ||||
\(739\) | 4.61603 | + | 43.9186i | 0.169803 | + | 1.61557i | 0.665037 | + | 0.746811i | \(0.268416\pi\) |
−0.495233 | + | 0.868760i | \(0.664917\pi\) | |||||||
\(740\) | 18.0162 | + | 1.87206i | 0.662289 | + | 0.0688182i | ||||
\(741\) | −11.3950 | − | 8.27897i | −0.418607 | − | 0.304136i | ||||
\(742\) | 18.1727 | − | 24.7221i | 0.667142 | − | 0.907577i | ||||
\(743\) | 53.4046 | 1.95923 | 0.979613 | − | 0.200894i | \(-0.0643846\pi\) | ||||
0.979613 | + | 0.200894i | \(0.0643846\pi\) | |||||||
\(744\) | 51.6210 | − | 57.3309i | 1.89252 | − | 2.10185i | ||||
\(745\) | 3.64362 | − | 17.2420i | 0.133492 | − | 0.631700i | ||||
\(746\) | 17.0069 | + | 18.8881i | 0.622667 | + | 0.691542i | ||||
\(747\) | −13.1550 | + | 2.79617i | −0.481315 | + | 0.102307i | ||||
\(748\) | −10.2994 | + | 7.48296i | −0.376584 | + | 0.273604i | ||||
\(749\) | 1.94009 | − | 4.29305i | 0.0708893 | − | 0.156864i | ||||
\(750\) | 75.4369 | + | 24.2156i | 2.75457 | + | 0.884230i | ||||
\(751\) | −17.7087 | − | 30.6723i | −0.646198 | − | 1.11925i | −0.984023 | − | 0.178040i | \(-0.943025\pi\) |
0.337825 | − | 0.941209i | \(-0.390309\pi\) | |||||||
\(752\) | 13.2739 | + | 126.293i | 0.484049 | + | 4.60542i | ||||
\(753\) | −17.9142 | − | 19.8957i | −0.652828 | − | 0.725039i | ||||
\(754\) | −20.8457 | + | 4.43088i | −0.759154 | + | 0.161363i | ||||
\(755\) | −29.8600 | + | 9.74112i | −1.08672 | + | 0.354516i | ||||
\(756\) | −14.8000 | − | 33.7456i | −0.538272 | − | 1.22732i | ||||
\(757\) | 13.5735 | 0.493336 | 0.246668 | − | 0.969100i | \(-0.420664\pi\) | ||||
0.246668 | + | 0.969100i | \(0.420664\pi\) | |||||||
\(758\) | −6.61303 | + | 7.34452i | −0.240196 | + | 0.266765i | ||||
\(759\) | 28.0203 | − | 12.4754i | 1.01707 | − | 0.452830i | ||||
\(760\) | −26.3018 | − | 58.8875i | −0.954068 | − | 2.13607i | ||||
\(761\) | −24.1915 | − | 10.7707i | −0.876940 | − | 0.390439i | −0.0816452 | − | 0.996661i | \(-0.526017\pi\) |
−0.795295 | + | 0.606222i | \(0.792684\pi\) | |||||||
\(762\) | 75.4960 | + | 54.8511i | 2.73493 | + | 1.98704i | ||||
\(763\) | −9.63906 | − | 5.63688i | −0.348958 | − | 0.204069i | ||||
\(764\) | −88.0358 | + | 63.9618i | −3.18502 | + | 2.31406i | ||||
\(765\) | 12.9894 | − | 7.51989i | 0.469632 | − | 0.271882i | ||||
\(766\) | −40.9685 | + | 18.2404i | −1.48025 | + | 0.659051i | ||||
\(767\) | 8.61896 | + | 1.83202i | 0.311213 | + | 0.0661503i | ||||
\(768\) | 10.3533 | + | 17.9324i | 0.373592 | + | 0.647081i | ||||
\(769\) | −5.49404 | − | 16.9089i | −0.198120 | − | 0.609751i | −0.999926 | − | 0.0121663i | \(-0.996127\pi\) |
0.801806 | − | 0.597585i | \(-0.203873\pi\) | |||||||
\(770\) | −21.3445 | − | 9.61555i | −0.769204 | − | 0.346521i | ||||
\(771\) | −24.9911 | + | 76.9147i | −0.900033 | + | 2.77002i | ||||
\(772\) | −99.9365 | + | 21.2422i | −3.59679 | + | 0.764522i | ||||
\(773\) | −2.19218 | − | 20.8572i | −0.0788471 | − | 0.750180i | −0.960500 | − | 0.278281i | \(-0.910235\pi\) |
0.881653 | − | 0.471899i | \(-0.156431\pi\) | |||||||
\(774\) | −15.6931 | + | 27.1813i | −0.564078 | + | 0.977012i | ||||
\(775\) | −1.76375 | + | 17.1712i | −0.0633557 | + | 0.616808i | ||||
\(776\) | 40.0301 | 1.43700 | ||||||||
\(777\) | 10.4604 | + | 3.46327i | 0.375264 | + | 0.124244i | ||||
\(778\) | −8.34852 | + | 25.6941i | −0.299309 | + | 0.921178i | ||||
\(779\) | −19.3909 | + | 4.12166i | −0.694750 | + | 0.147674i | ||||
\(780\) | −47.1951 | + | 5.01679i | −1.68985 | + | 0.179630i | ||||
\(781\) | 7.80803 | + | 1.65965i | 0.279393 | + | 0.0593869i | ||||
\(782\) | 17.4712 | + | 30.2610i | 0.624768 | + | 1.08213i | ||||
\(783\) | −4.28080 | − | 13.1749i | −0.152983 | − | 0.470834i | ||||
\(784\) | −77.9484 | − | 35.7498i | −2.78387 | − | 1.27678i | ||||
\(785\) | 24.6830 | − | 8.05225i | 0.880974 | − | 0.287397i | ||||
\(786\) | 98.7977 | + | 43.9876i | 3.52400 | + | 1.56898i | ||||
\(787\) | 4.59008 | − | 2.04364i | 0.163619 | − | 0.0728478i | −0.323293 | − | 0.946299i | \(-0.604790\pi\) |
0.486912 | + | 0.873451i | \(0.338123\pi\) | |||||||
\(788\) | −43.4189 | + | 19.3314i | −1.54674 | + | 0.688651i | ||||
\(789\) | 63.0321 | + | 28.0637i | 2.24400 | + | 0.999094i | ||||
\(790\) | 10.8821 | + | 14.9407i | 0.387167 | + | 0.531567i | ||||
\(791\) | −0.250120 | + | 44.9383i | −0.00889325 | + | 1.59782i | ||||
\(792\) | 15.5012 | + | 47.7078i | 0.550812 | + | 1.69522i | ||||
\(793\) | 0.734322 | + | 1.27188i | 0.0260766 | + | 0.0451659i | ||||
\(794\) | 2.88856 | + | 0.613983i | 0.102511 | + | 0.0217894i | ||||
\(795\) | 19.0701 | − | 17.2117i | 0.676348 | − | 0.610435i | ||||
\(796\) | −106.259 | + | 22.5861i | −3.76627 | + | 0.800545i | ||||
\(797\) | 10.3704 | − | 31.9169i | 0.367340 | − | 1.13056i | −0.581163 | − | 0.813787i | \(-0.697402\pi\) |
0.948503 | − | 0.316769i | \(-0.102598\pi\) | |||||||
\(798\) | −12.9815 | − | 62.7894i | −0.459539 | − | 2.22272i | ||||
\(799\) | −17.3078 | −0.612305 | ||||||||
\(800\) | −72.6924 | − | 32.1591i | −2.57006 | − | 1.13700i | ||||
\(801\) | 31.7508 | − | 54.9940i | 1.12186 | − | 1.94312i | ||||
\(802\) | −0.640697 | − | 6.09582i | −0.0226238 | − | 0.215251i | ||||
\(803\) | 1.76132 | − | 0.374380i | 0.0621556 | − | 0.0132116i | ||||
\(804\) | 38.7429 | − | 119.238i | 1.36636 | − | 4.20521i | ||||
\(805\) | −23.3206 | + | 39.9866i | −0.821943 | + | 1.40934i | ||||
\(806\) | −4.43544 | − | 13.6509i | −0.156232 | − | 0.480832i | ||||
\(807\) | 12.5090 | + | 21.6661i | 0.440336 | + | 0.762684i | ||||
\(808\) | 65.9858 | + | 14.0257i | 2.32137 | + | 0.493423i | ||||
\(809\) | −37.3912 | + | 16.6476i | −1.31461 | + | 0.585300i | −0.939775 | − | 0.341793i | \(-0.888966\pi\) |
−0.374830 | + | 0.927093i | \(0.622299\pi\) | |||||||
\(810\) | 6.12606 | + | 28.6543i | 0.215248 | + | 1.00681i | ||||
\(811\) | 14.6110 | − | 10.6155i | 0.513060 | − | 0.372760i | −0.300923 | − | 0.953648i | \(-0.597295\pi\) |
0.813983 | + | 0.580888i | \(0.197295\pi\) | |||||||
\(812\) | −60.3304 | − | 35.2809i | −2.11718 | − | 1.23812i | ||||
\(813\) | 4.77363 | + | 3.46824i | 0.167418 | + | 0.121637i | ||||
\(814\) | −5.68226 | − | 2.52991i | −0.199163 | − | 0.0886732i | ||||
\(815\) | 39.2083 | − | 35.3873i | 1.37341 | − | 1.23956i | ||||
\(816\) | −49.5113 | + | 22.0439i | −1.73324 | + | 0.771689i | ||||
\(817\) | −6.67985 | + | 7.41873i | −0.233698 | + | 0.259548i | ||||
\(818\) | 6.75436 | 0.236161 | ||||||||
\(819\) | −16.4331 | − | 1.81971i | −0.574217 | − | 0.0635859i | ||||
\(820\) | −39.1998 | + | 54.0881i | −1.36892 | + | 1.88884i | ||||
\(821\) | 24.2057 | − | 5.14508i | 0.844785 | − | 0.179565i | 0.234865 | − | 0.972028i | \(-0.424535\pi\) |
0.609919 | + | 0.792463i | \(0.291202\pi\) | |||||||
\(822\) | 54.4083 | + | 60.4265i | 1.89771 | + | 2.10762i | ||||
\(823\) | −0.371000 | − | 3.52983i | −0.0129323 | − | 0.123042i | 0.986151 | − | 0.165849i | \(-0.0530366\pi\) |
−0.999083 | + | 0.0428072i | \(0.986370\pi\) | |||||||
\(824\) | −15.2268 | − | 26.3736i | −0.530451 | − | 0.918769i | ||||
\(825\) | −15.8840 | − | 11.4831i | −0.553010 | − | 0.399792i | ||||
\(826\) | 23.3959 | + | 32.5815i | 0.814048 | + | 1.13366i | ||||
\(827\) | 0.211369 | − | 0.153568i | 0.00735001 | − | 0.00534010i | −0.584104 | − | 0.811679i | \(-0.698554\pi\) |
0.591454 | + | 0.806339i | \(0.298554\pi\) | |||||||
\(828\) | 158.555 | − | 33.7020i | 5.51018 | − | 1.17123i | ||||
\(829\) | 7.01583 | + | 7.79187i | 0.243670 | + | 0.270623i | 0.852557 | − | 0.522634i | \(-0.175051\pi\) |
−0.608887 | + | 0.793257i | \(0.708384\pi\) | |||||||
\(830\) | −14.8528 | + | 13.4054i | −0.515550 | + | 0.465307i | ||||
\(831\) | 21.3718 | − | 23.7357i | 0.741378 | − | 0.823384i | ||||
\(832\) | 28.0089 | 0.971035 | ||||||||
\(833\) | 5.95630 | − | 10.0564i | 0.206374 | − | 0.348434i | ||||
\(834\) | −96.0160 | − | 69.7597i | −3.32476 | − | 2.41558i | ||||
\(835\) | −5.52234 | + | 12.4429i | −0.191108 | + | 0.430605i | ||||
\(836\) | 2.72551 | + | 25.9315i | 0.0942639 | + | 0.896861i | ||||
\(837\) | 8.52346 | − | 3.79489i | 0.294614 | − | 0.131170i | ||||
\(838\) | 5.03763 | − | 47.9298i | 0.174022 | − | 1.65571i | ||||
\(839\) | −14.6492 | + | 10.6433i | −0.505746 | + | 0.367446i | −0.811208 | − | 0.584758i | \(-0.801189\pi\) |
0.305461 | + | 0.952205i | \(0.401189\pi\) | |||||||
\(840\) | −106.612 | − | 78.1748i | −3.67847 | − | 2.69729i | ||||
\(841\) | 2.20503 | + | 1.60205i | 0.0760355 | + | 0.0552430i | ||||
\(842\) | 16.4777 | − | 18.3004i | 0.567860 | − | 0.630672i | ||||
\(843\) | −13.1865 | + | 22.8396i | −0.454166 | + | 0.786639i | ||||
\(844\) | 80.3598 | + | 17.0810i | 2.76610 | + | 0.587953i | ||||
\(845\) | 9.60010 | − | 21.6309i | 0.330253 | − | 0.744126i | ||||
\(846\) | −34.4403 | + | 105.996i | −1.18408 | + | 3.64423i | ||||
\(847\) | −17.2370 | − | 15.6948i | −0.592269 | − | 0.539281i | ||||
\(848\) | −42.9744 | + | 31.2228i | −1.47575 | + | 1.07219i | ||||
\(849\) | 16.4308 | + | 28.4589i | 0.563902 | + | 0.976707i | ||||
\(850\) | 11.1187 | − | 19.3637i | 0.381369 | − | 0.664171i | ||||
\(851\) | −6.14951 | + | 10.6513i | −0.210802 | + | 0.365120i | ||||
\(852\) | 67.2995 | + | 29.9636i | 2.30564 | + | 1.02654i | ||||
\(853\) | 1.77616 | − | 5.46646i | 0.0608145 | − | 0.187168i | −0.916034 | − | 0.401101i | \(-0.868628\pi\) |
0.976848 | + | 0.213933i | \(0.0686275\pi\) | |||||||
\(854\) | −1.42637 | + | 6.53157i | −0.0488094 | + | 0.223506i | ||||
\(855\) | −0.0363235 | − | 30.7406i | −0.00124224 | − | 1.05131i | ||||
\(856\) | −10.0489 | + | 11.1604i | −0.343464 | + | 0.381455i | ||||
\(857\) | 21.8451 | − | 37.8368i | 0.746213 | − | 1.29248i | −0.203413 | − | 0.979093i | \(-0.565203\pi\) |
0.949626 | − | 0.313386i | \(-0.101463\pi\) | |||||||
\(858\) | 15.9418 | + | 3.38853i | 0.544244 | + | 0.115683i | ||||
\(859\) | −3.26807 | + | 31.0936i | −0.111505 | + | 1.06090i | 0.785494 | + | 0.618869i | \(0.212409\pi\) |
−0.896999 | + | 0.442032i | \(0.854258\pi\) | |||||||
\(860\) | 0.0397475 | + | 33.6383i | 0.00135538 | + | 1.14706i | ||||
\(861\) | −30.3493 | + | 27.0223i | −1.03430 | + | 0.920917i | ||||
\(862\) | −29.5021 | − | 21.4345i | −1.00485 | − | 0.730063i | ||||
\(863\) | −2.36708 | + | 22.5213i | −0.0805765 | + | 0.766634i | 0.877395 | + | 0.479769i | \(0.159280\pi\) |
−0.957971 | + | 0.286865i | \(0.907387\pi\) | |||||||
\(864\) | 4.49101 | + | 42.7291i | 0.152787 | + | 1.45367i | ||||
\(865\) | 21.6232 | + | 48.4124i | 0.735210 | + | 1.64607i | ||||
\(866\) | −4.06442 | + | 38.6703i | −0.138115 | + | 1.31407i | ||||
\(867\) | 11.6361 | + | 35.8123i | 0.395184 | + | 1.21625i | ||||
\(868\) | 19.3845 | − | 42.8942i | 0.657954 | − | 1.45593i | ||||
\(869\) | −1.41302 | − | 4.34882i | −0.0479333 | − | 0.147524i | ||||
\(870\) | −60.4244 | − | 54.2772i | −2.04858 | − | 1.84017i | ||||
\(871\) | −9.55091 | − | 10.6074i | −0.323620 | − | 0.359417i | ||||
\(872\) | 23.8181 | + | 26.4527i | 0.806583 | + | 0.895801i | ||||
\(873\) | 17.4304 | + | 7.76053i | 0.589931 | + | 0.262654i | ||||
\(874\) | 71.5668 | 2.42078 | ||||||||
\(875\) | 29.5803 | + | 0.0597810i | 0.999998 | + | 0.00202097i | ||||
\(876\) | 16.6180 | 0.561469 | ||||||||
\(877\) | 22.7084 | + | 10.1104i | 0.766808 | + | 0.341405i | 0.752586 | − | 0.658494i | \(-0.228806\pi\) |
0.0142220 | + | 0.999899i | \(0.495473\pi\) | |||||||
\(878\) | −42.6175 | − | 47.3315i | −1.43827 | − | 1.59736i | ||||
\(879\) | −12.2108 | − | 13.5614i | −0.411859 | − | 0.457416i | ||||
\(880\) | 30.1511 | + | 27.0837i | 1.01639 | + | 0.912992i | ||||
\(881\) | 3.92355 | + | 12.0754i | 0.132188 | + | 0.406832i | 0.995142 | − | 0.0984503i | \(-0.0313885\pi\) |
−0.862954 | + | 0.505282i | \(0.831389\pi\) | |||||||
\(882\) | −49.7351 | − | 56.4885i | −1.67467 | − | 1.90207i | ||||
\(883\) | 5.02867 | + | 15.4767i | 0.169228 | + | 0.520831i | 0.999323 | − | 0.0367912i | \(-0.0117137\pi\) |
−0.830095 | + | 0.557623i | \(0.811714\pi\) | |||||||
\(884\) | −1.39816 | + | 13.3026i | −0.0470254 | + | 0.447417i | ||||
\(885\) | 13.6956 | + | 30.6632i | 0.460372 | + | 1.03073i | ||||
\(886\) | −0.786801 | − | 7.48592i | −0.0264331 | − | 0.251494i | ||||
\(887\) | −3.29479 | + | 31.3478i | −0.110628 | + | 1.05256i | 0.788549 | + | 0.614972i | \(0.210833\pi\) |
−0.899177 | + | 0.437585i | \(0.855834\pi\) | |||||||
\(888\) | −28.4170 | − | 20.6462i | −0.953613 | − | 0.692841i | ||||
\(889\) | 33.0753 | + | 10.9507i | 1.10931 | + | 0.367275i | ||||
\(890\) | −0.111628 | − | 94.4710i | −0.00374178 | − | 3.16667i | ||||
\(891\) | 0.757717 | − | 7.20920i | 0.0253845 | − | 0.241517i | ||||
\(892\) | 10.6426 | + | 2.26216i | 0.356341 | + | 0.0757427i | ||||
\(893\) | −17.7244 | + | 30.6995i | −0.593123 | + | 1.02732i | ||||
\(894\) | −37.3703 | + | 41.5040i | −1.24985 | + | 1.38810i | ||||
\(895\) | −0.0576054 | − | 48.7515i | −0.00192554 | − | 1.62958i | ||||
\(896\) | 32.0745 | + | 29.2049i | 1.07154 | + | 0.975668i | ||||
\(897\) | 9.95850 | − | 30.6491i | 0.332505 | − | 1.02334i | ||||
\(898\) | 74.6964 | + | 33.2570i | 2.49265 | + | 1.10980i | ||||
\(899\) | 8.84803 | − | 15.3252i | 0.295098 | − | 0.511125i | ||||
\(900\) | −69.4929 | − | 76.8138i | −2.31643 | − | 2.56046i | ||||
\(901\) | −3.61993 | − | 6.26990i | −0.120597 | − | 0.208881i | ||||
\(902\) | 18.5578 | − | 13.4830i | 0.617906 | − | 0.448935i | ||||
\(903\) | −4.36588 | + | 19.9920i | −0.145287 | + | 0.665293i | ||||
\(904\) | 44.2683 | − | 136.244i | 1.47234 | − | 4.53140i | ||||
\(905\) | 4.74486 | − | 10.6911i | 0.157725 | − | 0.355385i | ||||
\(906\) | 97.3633 | + | 20.6952i | 3.23468 | + | 0.687552i | ||||
\(907\) | 0.00623712 | − | 0.0108030i | 0.000207100 | − | 0.000358708i | −0.865922 | − | 0.500179i | \(-0.833267\pi\) |
0.866129 | + | 0.499821i | \(0.166601\pi\) | |||||||
\(908\) | 24.4514 | − | 27.1560i | 0.811448 | − | 0.901205i | ||||
\(909\) | 26.0133 | + | 18.8997i | 0.862805 | + | 0.626865i | ||||
\(910\) | −22.5139 | + | 9.90581i | −0.746330 | + | 0.328374i | ||||
\(911\) | 0.0137918 | − | 0.0100203i | 0.000456942 | − | 0.000331988i | −0.587557 | − | 0.809183i | \(-0.699910\pi\) |
0.588014 | + | 0.808851i | \(0.299910\pi\) | |||||||
\(912\) | −11.6029 | + | 110.395i | −0.384212 | + | 3.65553i | ||||
\(913\) | 4.52175 | − | 2.01321i | 0.149648 | − | 0.0666276i | ||||
\(914\) | 0.476685 | + | 4.53536i | 0.0157674 | + | 0.150016i | ||||
\(915\) | −2.27060 | + | 5.11612i | −0.0750639 | + | 0.169134i | ||||
\(916\) | 66.4909 | + | 48.3085i | 2.19692 | + | 1.59616i | ||||
\(917\) | 40.1323 | + | 4.44404i | 1.32528 | + | 0.146755i | ||||
\(918\) | −12.0691 | −0.398339 | ||||||||
\(919\) | 11.8958 | − | 13.2116i | 0.392405 | − | 0.435810i | −0.514277 | − | 0.857624i | \(-0.671940\pi\) |
0.906682 | + | 0.421814i | \(0.138606\pi\) | |||||||
\(920\) | 109.544 | − | 98.8681i | 3.61154 | − | 3.25958i | ||||
\(921\) | −3.55737 | − | 3.95086i | −0.117219 | − | 0.130185i | ||||
\(922\) | −64.6545 | + | 13.7427i | −2.12928 | + | 0.452593i | ||||
\(923\) | 6.78522 | − | 4.92975i | 0.223338 | − | 0.162265i | ||||
\(924\) | 31.1748 | + | 43.4145i | 1.02558 | + | 1.42823i | ||||
\(925\) | 7.85931 | − | 0.0185733i | 0.258413 | − | 0.000610688i | ||||
\(926\) | 32.1684 | + | 55.7173i | 1.05712 | + | 1.83098i | ||||
\(927\) | −1.51728 | − | 14.4359i | −0.0498339 | − | 0.474138i | ||||
\(928\) | 54.5269 | + | 60.5583i | 1.78993 | + | 1.98792i | ||||
\(929\) | 10.6163 | − | 2.25656i | 0.348309 | − | 0.0740353i | −0.0304353 | − | 0.999537i | \(-0.509689\pi\) |
0.378744 | + | 0.925501i | \(0.376356\pi\) | |||||||
\(930\) | 32.1020 | − | 44.2945i | 1.05266 | − | 1.45248i | ||||
\(931\) | −11.7378 | − | 20.8634i | −0.384690 | − | 0.683770i | ||||
\(932\) | −91.2324 | −2.98842 | ||||||||
\(933\) | −7.51106 | + | 8.34188i | −0.245901 | + | 0.273101i | ||||
\(934\) | −53.9937 | + | 24.0395i | −1.76673 | + | 0.786597i | ||||
\(935\) | −4.10068 | + | 3.70105i | −0.134107 | + | 0.121037i | ||||
\(936\) | 48.1485 | + | 21.4371i | 1.57378 | + | 0.700693i | ||||
\(937\) | −21.9605 | − | 15.9553i | −0.717420 | − | 0.521236i | 0.168139 | − | 0.985763i | \(-0.446224\pi\) |
−0.885559 | + | 0.464527i | \(0.846224\pi\) | |||||||
\(938\) | 0.361641 | − | 64.9748i | 0.0118080 | − | 2.12150i | ||||
\(939\) | 33.0407 | − | 24.0055i | 1.07824 | − | 0.783390i | ||||
\(940\) | 24.9727 | + | 116.809i | 0.814520 | + | 3.80987i | ||||
\(941\) | −27.5731 | + | 12.2763i | −0.898857 | + | 0.400197i | −0.803540 | − | 0.595250i | \(-0.797053\pi\) |
−0.0953163 | + | 0.995447i | \(0.530386\pi\) | |||||||
\(942\) | −80.4828 | − | 17.1072i | −2.62227 | − | 0.557381i | ||||
\(943\) | −22.6786 | − | 39.2806i | −0.738518 | − | 1.27915i | ||||
\(944\) | −21.4590 | − | 66.0439i | −0.698430 | − | 2.14955i | ||||
\(945\) | −7.93351 | − | 13.8814i | −0.258077 | − | 0.451563i | ||||
\(946\) | 3.56955 | − | 10.9859i | 0.116056 | − | 0.357184i | ||||
\(947\) | −13.6298 | + | 2.89711i | −0.442910 | + | 0.0941435i | −0.423968 | − | 0.905677i | \(-0.639363\pi\) |
−0.0189421 | + | 0.999821i | \(0.506030\pi\) | |||||||
\(948\) | −4.41107 | − | 41.9685i | −0.143265 | − | 1.36308i | ||||
\(949\) | 0.945959 | − | 1.63845i | 0.0307071 | − | 0.0531863i | ||||
\(950\) | −22.9599 | − | 39.5515i | −0.744917 | − | 1.28322i | ||||
\(951\) | 17.8508 | 0.578851 | ||||||||
\(952\) | −27.8269 | + | 24.7764i | −0.901874 | + | 0.803007i | ||||
\(953\) | 7.65100 | − | 23.5474i | 0.247840 | − | 0.762774i | −0.747316 | − | 0.664469i | \(-0.768658\pi\) |
0.995156 | − | 0.0983052i | \(-0.0313421\pi\) | |||||||
\(954\) | −45.6013 | + | 9.69286i | −1.47640 | + | 0.313818i | ||||
\(955\) | −35.0512 | + | 31.6353i | −1.13423 | + | 1.02370i | ||||
\(956\) | 52.7436 | + | 11.2110i | 1.70585 | + | 0.362590i | ||||
\(957\) | 10.0467 | + | 17.4014i | 0.324765 | + | 0.562509i | ||||
\(958\) | 20.4204 | + | 62.8475i | 0.659753 | + | 2.03051i | ||||
\(959\) | 26.2062 | + | 15.3253i | 0.846242 | + | 0.494878i | ||||
\(960\) | 62.8473 | + | 86.2873i | 2.02839 | + | 2.78491i | ||||
\(961\) | −17.4319 | − | 7.76117i | −0.562319 | − | 0.250360i | ||||
\(962\) | −5.97022 | + | 2.65811i | −0.192488 | + | 0.0857010i | ||||
\(963\) | −6.53926 | + | 2.91147i | −0.210725 | + | 0.0938207i | ||||
\(964\) | 58.0327 | + | 25.8378i | 1.86911 | + | 0.832180i | ||||
\(965\) | −42.1453 | + | 13.7489i | −1.35671 | + | 0.442594i | ||||
\(966\) | 127.452 | − | 72.6416i | 4.10070 | − | 2.33720i | ||||
\(967\) | 6.23353 | + | 19.1848i | 0.200457 | + | 0.616943i | 0.999869 | + | 0.0161605i | \(0.00514427\pi\) |
−0.799412 | + | 0.600783i | \(0.794856\pi\) | |||||||
\(968\) | 37.1564 | + | 64.3568i | 1.19425 | + | 2.06850i | ||||
\(969\) | −14.7984 | − | 3.14550i | −0.475394 | − | 0.101048i | ||||
\(970\) | 28.2262 | − | 3.00041i | 0.906287 | − | 0.0963375i | ||||
\(971\) | 46.6379 | − | 9.91320i | 1.49668 | − | 0.318130i | 0.614454 | − | 0.788952i | \(-0.289376\pi\) |
0.882228 | + | 0.470823i | \(0.156043\pi\) | |||||||
\(972\) | 33.5842 | − | 103.362i | 1.07721 | − | 3.31533i | ||||
\(973\) | −42.0652 | − | 13.9271i | −1.34855 | − | 0.446483i | ||||
\(974\) | −60.0105 | −1.92286 | ||||||||
\(975\) | −20.1332 | + | 4.32919i | −0.644777 | + | 0.138645i | ||||
\(976\) | 5.78712 | − | 10.0236i | 0.185241 | − | 0.320847i | ||||
\(977\) | −0.637053 | − | 6.06116i | −0.0203811 | − | 0.193914i | 0.979594 | − | 0.200987i | \(-0.0644150\pi\) |
−0.999975 | + | 0.00707376i | \(0.997748\pi\) | |||||||
\(978\) | −163.724 | + | 34.8006i | −5.23532 | + | 1.11280i | ||||
\(979\) | −7.22202 | + | 22.2271i | −0.230817 | + | 0.710381i | ||||
\(980\) | −76.4638 | − | 25.6885i | −2.44255 | − | 0.820589i | ||||
\(981\) | 5.24288 | + | 16.1359i | 0.167392 | + | 0.515180i | ||||
\(982\) | 16.0621 | + | 27.8204i | 0.512563 | + | 0.887786i | ||||
\(983\) | −46.8443 | − | 9.95706i | −1.49410 | − | 0.317581i | −0.612838 | − | 0.790208i | \(-0.709972\pi\) |
−0.881262 | + | 0.472627i | \(0.843306\pi\) | |||||||
\(984\) | 118.339 | − | 52.6880i | 3.77251 | − | 1.67963i | ||||
\(985\) | −17.8473 | + | 10.3323i | −0.568664 | + | 0.329215i | ||||
\(986\) | −18.5192 | + | 13.4550i | −0.589771 | + | 0.428494i | ||||
\(987\) | −0.404431 | + | 72.6627i | −0.0128732 | + | 2.31288i | ||||
\(988\) | 22.1636 | + | 16.1028i | 0.705119 | + | 0.512299i | ||||
\(989\) | −20.8660 | − | 9.29016i | −0.663501 | − | 0.295410i | ||||
\(990\) | 14.5062 | + | 32.4780i | 0.461036 | + | 1.03222i | ||||
\(991\) | 31.7590 | − | 14.1400i | 1.00886 | − | 0.449173i | 0.165320 | − | 0.986240i | \(-0.447134\pi\) |
0.843540 | + | 0.537067i | \(0.180468\pi\) | |||||||
\(992\) | −36.7243 | + | 40.7865i | −1.16600 | + | 1.29497i | ||||
\(993\) | −79.8966 | −2.53544 | ||||||||
\(994\) | 37.9470 | + | 4.20205i | 1.20360 | + | 0.133281i | ||||
\(995\) | −44.8119 | + | 14.6188i | −1.42063 | + | 0.463448i | ||||
\(996\) | 44.6812 | − | 9.49729i | 1.41578 | − | 0.300933i | ||||
\(997\) | 9.88353 | + | 10.9768i | 0.313014 | + | 0.347638i | 0.879038 | − | 0.476751i | \(-0.158186\pi\) |
−0.566024 | + | 0.824389i | \(0.691519\pi\) | |||||||
\(998\) | −5.03951 | − | 47.9478i | −0.159523 | − | 1.51776i | ||||
\(999\) | −2.12403 | − | 3.67894i | −0.0672015 | − | 0.116396i |
(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 | 175.2.q.a.11.18 | ✓ | 144 | |
5.2 | odd | 4 | 875.2.u.b.74.1 | 288 | |||
5.3 | odd | 4 | 875.2.u.b.74.36 | 288 | |||
5.4 | even | 2 | 875.2.q.a.676.1 | 144 | |||
7.2 | even | 3 | inner | 175.2.q.a.86.1 | yes | 144 | |
25.9 | even | 10 | 875.2.q.a.326.18 | 144 | |||
25.12 | odd | 20 | 875.2.u.b.424.1 | 288 | |||
25.13 | odd | 20 | 875.2.u.b.424.36 | 288 | |||
25.16 | even | 5 | inner | 175.2.q.a.116.1 | yes | 144 | |
35.2 | odd | 12 | 875.2.u.b.324.36 | 288 | |||
35.9 | even | 6 | 875.2.q.a.51.18 | 144 | |||
35.23 | odd | 12 | 875.2.u.b.324.1 | 288 | |||
175.9 | even | 30 | 875.2.q.a.576.1 | 144 | |||
175.16 | even | 15 | inner | 175.2.q.a.16.18 | yes | 144 | |
175.37 | odd | 60 | 875.2.u.b.674.36 | 288 | |||
175.163 | odd | 60 | 875.2.u.b.674.1 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.q.a.11.18 | ✓ | 144 | 1.1 | even | 1 | trivial | |
175.2.q.a.16.18 | yes | 144 | 175.16 | even | 15 | inner | |
175.2.q.a.86.1 | yes | 144 | 7.2 | even | 3 | inner | |
175.2.q.a.116.1 | yes | 144 | 25.16 | even | 5 | inner | |
875.2.q.a.51.18 | 144 | 35.9 | even | 6 | |||
875.2.q.a.326.18 | 144 | 25.9 | even | 10 | |||
875.2.q.a.576.1 | 144 | 175.9 | even | 30 | |||
875.2.q.a.676.1 | 144 | 5.4 | even | 2 | |||
875.2.u.b.74.1 | 288 | 5.2 | odd | 4 | |||
875.2.u.b.74.36 | 288 | 5.3 | odd | 4 | |||
875.2.u.b.324.1 | 288 | 35.23 | odd | 12 | |||
875.2.u.b.324.36 | 288 | 35.2 | odd | 12 | |||
875.2.u.b.424.1 | 288 | 25.12 | odd | 20 | |||
875.2.u.b.424.36 | 288 | 25.13 | odd | 20 | |||
875.2.u.b.674.1 | 288 | 175.163 | odd | 60 | |||
875.2.u.b.674.36 | 288 | 175.37 | odd | 60 |