Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,6,Mod(11,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.11");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.h (of order \(6\), degree \(2\), 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: | \(5.77381751327\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 36.11 |
Dual form | 36.6.h.a.23.11 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.90579 | + | 5.32616i | −0.336899 | + | 0.941541i | ||||
\(3\) | 9.73802 | + | 12.1726i | 0.624694 | + | 0.780870i | ||||
\(4\) | −24.7359 | − | 20.3011i | −0.772997 | − | 0.634409i | ||||
\(5\) | −51.8636 | + | 29.9435i | −0.927765 | + | 0.535645i | −0.886104 | − | 0.463486i | \(-0.846598\pi\) |
−0.0416611 | + | 0.999132i | \(0.513265\pi\) | |||||||
\(6\) | −83.3916 | + | 28.6679i | −0.945680 | + | 0.325100i | ||||
\(7\) | −33.8827 | − | 19.5622i | −0.261356 | − | 0.150894i | 0.363597 | − | 0.931556i | \(-0.381549\pi\) |
−0.624953 | + | 0.780662i | \(0.714882\pi\) | |||||||
\(8\) | 155.268 | − | 93.0578i | 0.857744 | − | 0.514076i | ||||
\(9\) | −53.3420 | + | 237.073i | −0.219515 | + | 0.975609i | ||||
\(10\) | −60.6425 | − | 333.300i | −0.191768 | − | 1.05399i | ||||
\(11\) | −108.537 | + | 187.992i | −0.270456 | + | 0.468443i | −0.968979 | − | 0.247144i | \(-0.920508\pi\) |
0.698523 | + | 0.715588i | \(0.253841\pi\) | |||||||
\(12\) | 6.23729 | − | 498.792i | 0.0125038 | − | 0.999922i | ||||
\(13\) | −532.156 | − | 921.721i | −0.873334 | − | 1.51266i | −0.858527 | − | 0.512769i | \(-0.828620\pi\) |
−0.0148071 | − | 0.999890i | \(-0.504713\pi\) | |||||||
\(14\) | 168.765 | − | 143.183i | 0.230124 | − | 0.195241i | ||||
\(15\) | −869.538 | − | 339.723i | −0.997839 | − | 0.389849i | ||||
\(16\) | 199.731 | + | 1004.33i | 0.195050 | + | 0.980793i | ||||
\(17\) | 315.283i | 0.264593i | 0.991210 | + | 0.132297i | \(0.0422351\pi\) | ||||
−0.991210 | + | 0.132297i | \(0.957765\pi\) | |||||||
\(18\) | −1161.03 | − | 735.920i | −0.844621 | − | 0.535364i | ||||
\(19\) | 1889.72i | 1.20092i | 0.799655 | + | 0.600460i | \(0.205016\pi\) | ||||
−0.799655 | + | 0.600460i | \(0.794984\pi\) | |||||||
\(20\) | 1890.78 | + | 312.209i | 1.05698 | + | 0.174530i | ||||
\(21\) | −91.8286 | − | 602.936i | −0.0454391 | − | 0.298348i | ||||
\(22\) | −794.425 | − | 936.359i | −0.349942 | − | 0.412464i | ||||
\(23\) | 1200.19 | + | 2078.79i | 0.473074 | + | 0.819389i | 0.999525 | − | 0.0308168i | \(-0.00981084\pi\) |
−0.526451 | + | 0.850206i | \(0.676478\pi\) | |||||||
\(24\) | 2644.76 | + | 983.814i | 0.937254 | + | 0.348646i | ||||
\(25\) | 230.725 | − | 399.628i | 0.0738321 | − | 0.127881i | ||||
\(26\) | 5923.41 | − | 1077.74i | 1.71846 | − | 0.312665i | ||||
\(27\) | −3405.23 | + | 1659.31i | −0.898953 | + | 0.438045i | ||||
\(28\) | 440.986 | + | 1171.75i | 0.106299 | + | 0.282448i | ||||
\(29\) | 5185.33 | + | 2993.75i | 1.14494 | + | 0.661030i | 0.947648 | − | 0.319315i | \(-0.103453\pi\) |
0.197289 | + | 0.980345i | \(0.436786\pi\) | |||||||
\(30\) | 3466.57 | − | 3983.86i | 0.703230 | − | 0.808166i | ||||
\(31\) | −6949.56 | + | 4012.33i | −1.29883 | + | 0.749881i | −0.980202 | − | 0.197999i | \(-0.936556\pi\) |
−0.318629 | + | 0.947879i | \(0.603222\pi\) | |||||||
\(32\) | −5729.88 | − | 850.247i | −0.989169 | − | 0.146781i | ||||
\(33\) | −3345.28 | + | 509.494i | −0.534746 | + | 0.0814430i | ||||
\(34\) | −1679.25 | − | 600.864i | −0.249125 | − | 0.0891413i | ||||
\(35\) | 2343.04 | 0.323303 | ||||||||
\(36\) | 6132.31 | − | 4781.32i | 0.788620 | − | 0.614881i | ||||
\(37\) | 5243.91 | 0.629725 | 0.314862 | − | 0.949137i | \(-0.398042\pi\) | ||||
0.314862 | + | 0.949137i | \(0.398042\pi\) | |||||||
\(38\) | −10065.0 | − | 3601.42i | −1.13072 | − | 0.404590i | ||||
\(39\) | 6037.55 | − | 15453.4i | 0.635623 | − | 1.62691i | ||||
\(40\) | −5266.31 | + | 9475.59i | −0.520423 | + | 0.936389i | ||||
\(41\) | −7589.92 | + | 4382.04i | −0.705144 | + | 0.407115i | −0.809260 | − | 0.587450i | \(-0.800132\pi\) |
0.104117 | + | 0.994565i | \(0.466798\pi\) | |||||||
\(42\) | 3386.34 | + | 659.977i | 0.296215 | + | 0.0577305i | ||||
\(43\) | 8780.43 | + | 5069.38i | 0.724176 | + | 0.418103i | 0.816288 | − | 0.577645i | \(-0.196028\pi\) |
−0.0921115 | + | 0.995749i | \(0.529362\pi\) | |||||||
\(44\) | 6501.20 | − | 2446.73i | 0.506247 | − | 0.190526i | ||||
\(45\) | −4332.28 | − | 13892.7i | −0.318923 | − | 1.02272i | ||||
\(46\) | −13359.2 | + | 2430.66i | −0.930866 | + | 0.169367i | ||||
\(47\) | 7272.14 | − | 12595.7i | 0.480195 | − | 0.831721i | −0.519547 | − | 0.854442i | \(-0.673899\pi\) |
0.999742 | + | 0.0227202i | \(0.00723270\pi\) | |||||||
\(48\) | −10280.3 | + | 12211.4i | −0.644025 | + | 0.765004i | ||||
\(49\) | −7638.14 | − | 13229.6i | −0.454462 | − | 0.787151i | ||||
\(50\) | 1688.77 | + | 1990.49i | 0.0955311 | + | 0.112599i | ||||
\(51\) | −3837.80 | + | 3070.24i | −0.206613 | + | 0.165290i | ||||
\(52\) | −5548.58 | + | 33603.0i | −0.284560 | + | 1.72333i | ||||
\(53\) | 19631.3i | 0.959974i | 0.877276 | + | 0.479987i | \(0.159359\pi\) | ||||
−0.877276 | + | 0.479987i | \(0.840641\pi\) | |||||||
\(54\) | −2348.10 | − | 21299.1i | −0.109580 | − | 0.993978i | ||||
\(55\) | − | 12999.9i | − | 0.579474i | ||||||
\(56\) | −7081.33 | + | 115.661i | −0.301748 | + | 0.00492851i | ||||
\(57\) | −23002.8 | + | 18402.2i | −0.937762 | + | 0.750208i | ||||
\(58\) | −25827.4 | + | 21912.4i | −1.00812 | + | 0.855304i | ||||
\(59\) | 909.551 | + | 1575.39i | 0.0340171 | + | 0.0589193i | 0.882533 | − | 0.470251i | \(-0.155837\pi\) |
−0.848516 | + | 0.529170i | \(0.822503\pi\) | |||||||
\(60\) | 14612.1 | + | 26055.9i | 0.524003 | + | 0.934390i | ||||
\(61\) | 24421.5 | − | 42299.3i | 0.840327 | − | 1.45549i | −0.0492921 | − | 0.998784i | \(-0.515697\pi\) |
0.889619 | − | 0.456704i | \(-0.150970\pi\) | |||||||
\(62\) | −8125.89 | − | 44661.1i | −0.268467 | − | 1.47554i | ||||
\(63\) | 6445.04 | − | 6989.19i | 0.204585 | − | 0.221858i | ||||
\(64\) | 15448.5 | − | 28897.8i | 0.471451 | − | 0.881892i | ||||
\(65\) | 55199.1 | + | 31869.2i | 1.62050 | + | 0.935595i | ||||
\(66\) | 3661.75 | − | 18788.5i | 0.103474 | − | 0.530923i | ||||
\(67\) | 37065.9 | − | 21400.0i | 1.00876 | − | 0.582407i | 0.0979310 | − | 0.995193i | \(-0.468778\pi\) |
0.910828 | + | 0.412786i | \(0.135444\pi\) | |||||||
\(68\) | 6400.60 | − | 7798.82i | 0.167860 | − | 0.204530i | ||||
\(69\) | −13616.7 | + | 34852.6i | −0.344309 | + | 0.881277i | ||||
\(70\) | −4465.35 | + | 12479.4i | −0.108921 | + | 0.304403i | ||||
\(71\) | −29409.1 | −0.692365 | −0.346183 | − | 0.938167i | \(-0.612522\pi\) | ||||
−0.346183 | + | 0.938167i | \(0.612522\pi\) | |||||||
\(72\) | 13779.2 | + | 41773.8i | 0.313250 | + | 0.949671i | ||||
\(73\) | 38022.9 | 0.835099 | 0.417550 | − | 0.908654i | \(-0.362889\pi\) | ||||
0.417550 | + | 0.908654i | \(0.362889\pi\) | |||||||
\(74\) | −9993.79 | + | 27929.9i | −0.212154 | + | 0.592911i | ||||
\(75\) | 7111.30 | − | 1083.07i | 0.145981 | − | 0.0222332i | ||||
\(76\) | 38363.5 | − | 46744.1i | 0.761875 | − | 0.928309i | ||||
\(77\) | 7355.06 | − | 4246.45i | 0.141371 | − | 0.0816205i | ||||
\(78\) | 70801.1 | + | 61608.0i | 1.31766 | + | 1.14657i | ||||
\(79\) | −12858.2 | − | 7423.70i | −0.231800 | − | 0.133830i | 0.379602 | − | 0.925150i | \(-0.376061\pi\) |
−0.611402 | + | 0.791320i | \(0.709394\pi\) | |||||||
\(80\) | −40432.0 | − | 46107.7i | −0.706318 | − | 0.805468i | ||||
\(81\) | −53358.3 | − | 25291.9i | −0.903627 | − | 0.428321i | ||||
\(82\) | −8874.65 | − | 48776.4i | −0.145753 | − | 0.801078i | ||||
\(83\) | −60168.3 | + | 104215.i | −0.958677 | + | 1.66048i | −0.232959 | + | 0.972487i | \(0.574841\pi\) |
−0.725719 | + | 0.687991i | \(0.758493\pi\) | |||||||
\(84\) | −9968.80 | + | 16778.4i | −0.154150 | + | 0.259449i | ||||
\(85\) | −9440.69 | − | 16351.7i | −0.141728 | − | 0.245480i | ||||
\(86\) | −43734.0 | + | 37104.8i | −0.637636 | + | 0.540983i | ||||
\(87\) | 14053.2 | + | 92272.0i | 0.199058 | + | 1.30699i | ||||
\(88\) | 641.721 | + | 39289.4i | 0.00883364 | + | 0.540840i | ||||
\(89\) | − | 35496.5i | − | 0.475019i | −0.971385 | − | 0.237509i | \(-0.923669\pi\) | ||
0.971385 | − | 0.237509i | \(-0.0763311\pi\) | |||||||
\(90\) | 82251.2 | + | 3402.21i | 1.07038 | + | 0.0442746i | ||||
\(91\) | 41640.5i | 0.527124i | ||||||||
\(92\) | 12513.9 | − | 75785.8i | 0.154142 | − | 0.933508i | ||||
\(93\) | −116515. | − | 45521.7i | −1.39693 | − | 0.545772i | ||||
\(94\) | 53227.6 | + | 62737.3i | 0.621322 | + | 0.732329i | ||||
\(95\) | −56584.9 | − | 98008.0i | −0.643268 | − | 1.11417i | ||||
\(96\) | −45448.0 | − | 78027.0i | −0.503311 | − | 0.864105i | ||||
\(97\) | 1491.62 | − | 2583.55i | 0.0160964 | − | 0.0278797i | −0.857865 | − | 0.513875i | \(-0.828209\pi\) |
0.873961 | + | 0.485995i | \(0.161543\pi\) | |||||||
\(98\) | 85019.9 | − | 15469.0i | 0.894243 | − | 0.162704i | ||||
\(99\) | −38778.2 | − | 35759.1i | −0.397649 | − | 0.366690i | ||||
\(100\) | −13820.1 | + | 5201.19i | −0.138201 | + | 0.0520119i | ||||
\(101\) | 45537.2 | + | 26290.9i | 0.444184 | + | 0.256450i | 0.705371 | − | 0.708838i | \(-0.250780\pi\) |
−0.261187 | + | 0.965288i | \(0.584114\pi\) | |||||||
\(102\) | −9038.50 | − | 26292.0i | −0.0860193 | − | 0.250220i | ||||
\(103\) | 10418.1 | − | 6014.90i | 0.0967600 | − | 0.0558644i | −0.450839 | − | 0.892605i | \(-0.648875\pi\) |
0.547599 | + | 0.836741i | \(0.315542\pi\) | |||||||
\(104\) | −168400. | − | 93592.8i | −1.52672 | − | 0.848514i | ||||
\(105\) | 22816.6 | + | 28520.8i | 0.201966 | + | 0.252458i | ||||
\(106\) | −104559. | − | 37413.2i | −0.903855 | − | 0.323415i | ||||
\(107\) | 89559.8 | 0.756229 | 0.378115 | − | 0.925759i | \(-0.376572\pi\) | ||||
0.378115 | + | 0.925759i | \(0.376572\pi\) | |||||||
\(108\) | 117917. | + | 28085.3i | 0.972788 | + | 0.231696i | ||||
\(109\) | −29876.1 | −0.240856 | −0.120428 | − | 0.992722i | \(-0.538427\pi\) | ||||
−0.120428 | + | 0.992722i | \(0.538427\pi\) | |||||||
\(110\) | 69239.6 | + | 24775.1i | 0.545598 | + | 0.195225i | ||||
\(111\) | 51065.3 | + | 63831.7i | 0.393385 | + | 0.491733i | ||||
\(112\) | 12879.5 | − | 37936.7i | 0.0970184 | − | 0.285769i | ||||
\(113\) | −214387. | + | 123776.i | −1.57943 | + | 0.911886i | −0.584496 | + | 0.811397i | \(0.698708\pi\) |
−0.994938 | + | 0.100490i | \(0.967959\pi\) | |||||||
\(114\) | −54174.4 | − | 157587.i | −0.390420 | − | 1.13569i | ||||
\(115\) | −124492. | − | 71875.6i | −0.877804 | − | 0.506800i | ||||
\(116\) | −67487.5 | − | 179321.i | −0.465670 | − | 1.23733i | ||||
\(117\) | 246901. | − | 76993.3i | 1.66747 | − | 0.519982i | ||||
\(118\) | −10124.2 | + | 1842.05i | −0.0669352 | + | 0.0121786i | ||||
\(119\) | 6167.64 | − | 10682.7i | 0.0399256 | − | 0.0691531i | ||||
\(120\) | −166626. | + | 28169.1i | −1.05630 | + | 0.178574i | ||||
\(121\) | 56964.9 | + | 98666.1i | 0.353707 | + | 0.612639i | ||||
\(122\) | 178751. | + | 210687.i | 1.08730 | + | 1.28155i | ||||
\(123\) | −127251. | − | 49716.3i | −0.758403 | − | 0.296303i | ||||
\(124\) | 253358. | + | 41835.0i | 1.47972 | + | 0.244335i | ||||
\(125\) | − | 159512.i | − | 0.913100i | ||||||
\(126\) | 24942.6 | + | 47647.3i | 0.139964 | + | 0.267369i | ||||
\(127\) | 265961.i | 1.46322i | 0.681724 | + | 0.731610i | \(0.261231\pi\) | ||||
−0.681724 | + | 0.731610i | \(0.738769\pi\) | |||||||
\(128\) | 124473. | + | 137354.i | 0.671506 | + | 0.740999i | ||||
\(129\) | 23796.6 | + | 156246.i | 0.125904 | + | 0.826674i | ||||
\(130\) | −274938. | + | 233263.i | −1.42685 | + | 1.21056i | ||||
\(131\) | 37162.9 | + | 64368.0i | 0.189204 | + | 0.327712i | 0.944985 | − | 0.327113i | \(-0.106076\pi\) |
−0.755781 | + | 0.654825i | \(0.772742\pi\) | |||||||
\(132\) | 93091.8 | + | 55310.0i | 0.465025 | + | 0.276292i | ||||
\(133\) | 36967.1 | − | 64029.0i | 0.181212 | − | 0.313868i | ||||
\(134\) | 43339.9 | + | 238203.i | 0.208510 | + | 1.14600i | ||||
\(135\) | 126922. | − | 188022.i | 0.599380 | − | 0.887923i | ||||
\(136\) | 29339.6 | + | 48953.5i | 0.136021 | + | 0.226953i | ||||
\(137\) | 20104.8 | + | 11607.5i | 0.0915163 | + | 0.0528370i | 0.545060 | − | 0.838397i | \(-0.316507\pi\) |
−0.453543 | + | 0.891234i | \(0.649840\pi\) | |||||||
\(138\) | −159680. | − | 138946.i | −0.713760 | − | 0.621083i | ||||
\(139\) | 287391. | − | 165925.i | 1.26164 | − | 0.728410i | 0.288251 | − | 0.957555i | \(-0.406926\pi\) |
0.973392 | + | 0.229145i | \(0.0735930\pi\) | |||||||
\(140\) | −57957.3 | − | 47566.3i | −0.249912 | − | 0.205106i | ||||
\(141\) | 224138. | − | 34136.8i | 0.949441 | − | 0.144602i | ||||
\(142\) | 56047.5 | − | 156637.i | 0.233257 | − | 0.651890i | ||||
\(143\) | 231035. | 0.944794 | ||||||||
\(144\) | −248754. | − | 6222.21i | −0.999687 | − | 0.0250057i | ||||
\(145\) | −358574. | −1.41631 | ||||||||
\(146\) | −72463.7 | + | 202516.i | −0.281345 | + | 0.786280i | ||||
\(147\) | 86658.2 | − | 221806.i | 0.330763 | − | 0.846604i | ||||
\(148\) | −129713. | − | 106457.i | −0.486776 | − | 0.399503i | ||||
\(149\) | 287800. | − | 166162.i | 1.06200 | − | 0.613147i | 0.136017 | − | 0.990707i | \(-0.456570\pi\) |
0.925985 | + | 0.377559i | \(0.123237\pi\) | |||||||
\(150\) | −7784.06 | + | 39940.0i | −0.0282474 | + | 0.144937i | ||||
\(151\) | −300515. | − | 173503.i | −1.07257 | − | 0.619247i | −0.143685 | − | 0.989623i | \(-0.545895\pi\) |
−0.928882 | + | 0.370377i | \(0.879229\pi\) | |||||||
\(152\) | 175853. | + | 293414.i | 0.617365 | + | 1.03008i | ||||
\(153\) | −74745.2 | − | 16817.9i | −0.258140 | − | 0.0580821i | ||||
\(154\) | 8600.04 | + | 47267.1i | 0.0292212 | + | 0.160604i | ||||
\(155\) | 240286. | − | 416188.i | 0.803340 | − | 1.39143i | ||||
\(156\) | −463066. | + | 259686.i | −1.52346 | + | 0.854352i | ||||
\(157\) | 72572.9 | + | 125700.i | 0.234977 | + | 0.406992i | 0.959266 | − | 0.282504i | \(-0.0911651\pi\) |
−0.724289 | + | 0.689497i | \(0.757832\pi\) | |||||||
\(158\) | 64044.9 | − | 54336.9i | 0.204099 | − | 0.173162i | ||||
\(159\) | −238963. | + | 191170.i | −0.749615 | + | 0.599690i | ||||
\(160\) | 322632. | − | 127476.i | 0.996339 | − | 0.393665i | ||||
\(161\) | − | 93913.2i | − | 0.285537i | ||||||
\(162\) | 236398. | − | 235993.i | 0.707713 | − | 0.706500i | ||||
\(163\) | 240037.i | 0.707635i | 0.935314 | + | 0.353818i | \(0.115117\pi\) | ||||
−0.935314 | + | 0.353818i | \(0.884883\pi\) | |||||||
\(164\) | 276704. | + | 45689.8i | 0.803352 | + | 0.132651i | ||||
\(165\) | 158242. | − | 126593.i | 0.452494 | − | 0.361994i | ||||
\(166\) | −440395. | − | 519077.i | −1.24043 | − | 1.46205i | ||||
\(167\) | 144730. | + | 250679.i | 0.401575 | + | 0.695548i | 0.993916 | − | 0.110139i | \(-0.0351296\pi\) |
−0.592341 | + | 0.805687i | \(0.701796\pi\) | |||||||
\(168\) | −70366.0 | − | 85071.5i | −0.192349 | − | 0.232547i | ||||
\(169\) | −380733. | + | 659449.i | −1.02542 | + | 1.77609i | ||||
\(170\) | 105084. | − | 19119.6i | 0.278878 | − | 0.0507406i | ||||
\(171\) | −448003. | − | 100802.i | −1.17163 | − | 0.263620i | ||||
\(172\) | −114278. | − | 303648.i | −0.294538 | − | 0.782617i | ||||
\(173\) | −490809. | − | 283369.i | −1.24680 | − | 0.719841i | −0.276332 | − | 0.961062i | \(-0.589119\pi\) |
−0.970470 | + | 0.241221i | \(0.922452\pi\) | |||||||
\(174\) | −518238. | − | 101001.i | −1.29764 | − | 0.252903i | ||||
\(175\) | −15635.2 | + | 9026.99i | −0.0385930 | + | 0.0222817i | ||||
\(176\) | −210485. | − | 71459.5i | −0.512199 | − | 0.173891i | ||||
\(177\) | −10319.3 | + | 26412.7i | −0.0247580 | + | 0.0633694i | ||||
\(178\) | 189060. | + | 67649.0i | 0.447250 | + | 0.160034i | ||||
\(179\) | −440866. | −1.02843 | −0.514214 | − | 0.857662i | \(-0.671916\pi\) | ||||
−0.514214 | + | 0.857662i | \(0.671916\pi\) | |||||||
\(180\) | −174874. | + | 431599.i | −0.402295 | + | 0.992886i | ||||
\(181\) | 103852. | 0.235623 | 0.117812 | − | 0.993036i | \(-0.462412\pi\) | ||||
0.117812 | + | 0.993036i | \(0.462412\pi\) | |||||||
\(182\) | −221784. | − | 79358.2i | −0.496309 | − | 0.177588i | ||||
\(183\) | 752708. | − | 114639.i | 1.66149 | − | 0.253050i | ||||
\(184\) | 379798. | + | 211083.i | 0.827005 | + | 0.459630i | ||||
\(185\) | −271968. | + | 157021.i | −0.584237 | + | 0.337309i | ||||
\(186\) | 464509. | − | 533823.i | 0.984492 | − | 1.13140i | ||||
\(187\) | −59270.7 | − | 34220.0i | −0.123947 | − | 0.0715608i | ||||
\(188\) | −435590. | + | 163934.i | −0.898841 | + | 0.338279i | ||||
\(189\) | 147838. | + | 10391.7i | 0.301046 | + | 0.0211609i | ||||
\(190\) | 629845. | − | 114598.i | 1.26576 | − | 0.230299i | ||||
\(191\) | −215522. | + | 373294.i | −0.427472 | + | 0.740403i | −0.996648 | − | 0.0818131i | \(-0.973929\pi\) |
0.569176 | + | 0.822216i | \(0.307262\pi\) | |||||||
\(192\) | 502198. | − | 93360.0i | 0.983155 | − | 0.182771i | ||||
\(193\) | 20745.9 | + | 35932.9i | 0.0400903 | + | 0.0694384i | 0.885374 | − | 0.464879i | \(-0.153902\pi\) |
−0.845284 | + | 0.534317i | \(0.820569\pi\) | |||||||
\(194\) | 10917.7 | + | 12868.3i | 0.0208270 | + | 0.0245480i | ||||
\(195\) | 149600. | + | 982256.i | 0.281738 | + | 1.84986i | ||||
\(196\) | −79639.9 | + | 482310.i | −0.148078 | + | 0.896781i | ||||
\(197\) | − | 353610.i | − | 0.649170i | −0.945856 | − | 0.324585i | \(-0.894775\pi\) | ||
0.945856 | − | 0.324585i | \(-0.105225\pi\) | |||||||
\(198\) | 264362. | − | 138389.i | 0.479221 | − | 0.250865i | ||||
\(199\) | − | 167614.i | − | 0.300038i | −0.988683 | − | 0.150019i | \(-0.952066\pi\) | ||
0.988683 | − | 0.150019i | \(-0.0479336\pi\) | |||||||
\(200\) | −1364.15 | − | 83520.3i | −0.00241150 | − | 0.147644i | ||||
\(201\) | 621441. | + | 242793.i | 1.08495 | + | 0.423883i | ||||
\(202\) | −226814. | + | 192434.i | −0.391104 | + | 0.331820i | ||||
\(203\) | −117129. | − | 202873.i | −0.199491 | − | 0.345529i | ||||
\(204\) | 157261. | + | 1966.51i | 0.264573 | + | 0.00330843i | ||||
\(205\) | 262427. | − | 454537.i | 0.436138 | − | 0.755414i | ||||
\(206\) | 12181.6 | + | 66951.7i | 0.0200002 | + | 0.109924i | ||||
\(207\) | −556844. | + | 173645.i | −0.903250 | + | 0.281668i | ||||
\(208\) | 819426. | − | 718558.i | 1.31326 | − | 1.15160i | ||||
\(209\) | −355253. | − | 205105.i | −0.562563 | − | 0.324796i | ||||
\(210\) | −195390. | + | 67170.0i | −0.305741 | + | 0.105106i | ||||
\(211\) | 60893.8 | − | 35157.0i | 0.0941601 | − | 0.0543633i | −0.452181 | − | 0.891926i | \(-0.649354\pi\) |
0.546341 | + | 0.837563i | \(0.316020\pi\) | |||||||
\(212\) | 398537. | − | 485598.i | 0.609016 | − | 0.742058i | ||||
\(213\) | −286386. | − | 357983.i | −0.432516 | − | 0.540647i | ||||
\(214\) | −170682. | + | 477010.i | −0.254773 | + | 0.712021i | ||||
\(215\) | −607180. | −0.895821 | ||||||||
\(216\) | −374312. | + | 574522.i | −0.545883 | + | 0.837861i | ||||
\(217\) | 313960. | 0.452611 | ||||||||
\(218\) | 56937.7 | − | 159125.i | 0.0811444 | − | 0.226776i | ||||
\(219\) | 370268. | + | 462836.i | 0.521682 | + | 0.652104i | ||||
\(220\) | −263913. | + | 321565.i | −0.367624 | + | 0.447932i | ||||
\(221\) | 290603. | − | 167780.i | 0.400239 | − | 0.231078i | ||||
\(222\) | −437298. | + | 150332.i | −0.595518 | + | 0.204724i | ||||
\(223\) | −439612. | − | 253810.i | −0.591980 | − | 0.341780i | 0.173900 | − | 0.984763i | \(-0.444363\pi\) |
−0.765880 | + | 0.642983i | \(0.777696\pi\) | |||||||
\(224\) | 177511. | + | 140898.i | 0.236377 | + | 0.187622i | ||||
\(225\) | 82433.7 | + | 76015.7i | 0.108555 | + | 0.100103i | ||||
\(226\) | −250675. | − | 1.37775e6i | −0.326468 | − | 1.79432i | ||||
\(227\) | −54791.0 | + | 94900.8i | −0.0705739 | + | 0.122238i | −0.899153 | − | 0.437634i | \(-0.855816\pi\) |
0.828579 | + | 0.559872i | \(0.189150\pi\) | |||||||
\(228\) | 942578. | + | 11786.8i | 1.20083 | + | 0.0150161i | ||||
\(229\) | 180234. | + | 312174.i | 0.227116 | + | 0.393376i | 0.956952 | − | 0.290246i | \(-0.0937370\pi\) |
−0.729836 | + | 0.683622i | \(0.760404\pi\) | |||||||
\(230\) | 620077. | − | 526085.i | 0.772905 | − | 0.655747i | ||||
\(231\) | 123314. | + | 48177.9i | 0.152048 | + | 0.0594043i | ||||
\(232\) | 1.08371e6 | − | 17700.4i | 1.32188 | − | 0.0215906i | ||||
\(233\) | 938716.i | 1.13278i | 0.824138 | + | 0.566389i | \(0.191660\pi\) | ||||
−0.824138 | + | 0.566389i | \(0.808340\pi\) | |||||||
\(234\) | −60464.0 | + | 1.46177e6i | −0.0721867 | + | 1.74518i | ||||
\(235\) | 871012.i | 1.02886i | ||||||||
\(236\) | 9483.52 | − | 57433.5i | 0.0110838 | − | 0.0671252i | ||||
\(237\) | −34848.2 | − | 228809.i | −0.0403005 | − | 0.264608i | ||||
\(238\) | 45143.3 | + | 53208.7i | 0.0516596 | + | 0.0608892i | ||||
\(239\) | −163017. | − | 282354.i | −0.184603 | − | 0.319742i | 0.758840 | − | 0.651278i | \(-0.225767\pi\) |
−0.943443 | + | 0.331536i | \(0.892433\pi\) | |||||||
\(240\) | 167521. | − | 941158.i | 0.187733 | − | 1.05471i | ||||
\(241\) | 37903.3 | − | 65650.4i | 0.0420373 | − | 0.0728107i | −0.844241 | − | 0.535963i | \(-0.819949\pi\) |
0.886279 | + | 0.463153i | \(0.153282\pi\) | |||||||
\(242\) | −634074. | + | 115367.i | −0.695988 | + | 0.126632i | ||||
\(243\) | −211736. | − | 895799.i | −0.230028 | − | 0.973184i | ||||
\(244\) | −1.46281e6 | + | 550529.i | −1.57295 | + | 0.591978i | ||||
\(245\) | 792284. | + | 457425.i | 0.843268 | + | 0.486861i | ||||
\(246\) | 507311. | − | 583012.i | 0.534487 | − | 0.614243i | ||||
\(247\) | 1.74180e6 | − | 1.00563e6i | 1.81658 | − | 1.04880i | ||||
\(248\) | −705668. | + | 1.26970e6i | −0.728569 | + | 1.31090i | ||||
\(249\) | −1.85448e6 | + | 282441.i | −1.89550 | + | 0.288689i | ||||
\(250\) | 849586. | + | 303996.i | 0.859720 | + | 0.307623i | ||||
\(251\) | 971568. | 0.973394 | 0.486697 | − | 0.873571i | \(-0.338202\pi\) | ||||
0.486697 | + | 0.873571i | \(0.338202\pi\) | |||||||
\(252\) | −301312. | + | 42042.7i | −0.298893 | + | 0.0417051i | ||||
\(253\) | −521060. | −0.511783 | ||||||||
\(254\) | −1.41655e6 | − | 506867.i | −1.37768 | − | 0.492958i | ||||
\(255\) | 107109. | − | 274151.i | 0.103151 | − | 0.264021i | ||||
\(256\) | −968791. | + | 401193.i | −0.923911 | + | 0.382608i | ||||
\(257\) | 1.19547e6 | − | 690206.i | 1.12903 | − | 0.651848i | 0.185342 | − | 0.982674i | \(-0.440661\pi\) |
0.943692 | + | 0.330826i | \(0.107327\pi\) | |||||||
\(258\) | −877542. | − | 171027.i | −0.820764 | − | 0.159962i | ||||
\(259\) | −177678. | − | 102582.i | −0.164583 | − | 0.0950218i | ||||
\(260\) | −718420. | − | 1.90892e6i | −0.659091 | − | 1.75127i | ||||
\(261\) | −986335. | + | 1.06961e6i | −0.896237 | + | 0.971906i | ||||
\(262\) | −413659. | + | 75263.4i | −0.372297 | + | 0.0677377i | ||||
\(263\) | −240670. | + | 416853.i | −0.214552 | + | 0.371615i | −0.953134 | − | 0.302549i | \(-0.902163\pi\) |
0.738582 | + | 0.674164i | \(0.235496\pi\) | |||||||
\(264\) | −472003. | + | 390412.i | −0.416807 | + | 0.344757i | ||||
\(265\) | −587830. | − | 1.01815e6i | −0.514206 | − | 0.890631i | ||||
\(266\) | 270577. | + | 318919.i | 0.234470 | + | 0.276360i | ||||
\(267\) | 432083. | − | 345666.i | 0.370928 | − | 0.296741i | ||||
\(268\) | −1.35130e6 | − | 223129.i | −1.14925 | − | 0.189767i | ||||
\(269\) | 1.12150e6i | 0.944969i | 0.881339 | + | 0.472484i | \(0.156643\pi\) | ||||
−0.881339 | + | 0.472484i | \(0.843357\pi\) | |||||||
\(270\) | 759551. | + | 1.03434e6i | 0.634085 | + | 0.863482i | ||||
\(271\) | − | 873330.i | − | 0.722362i | −0.932496 | − | 0.361181i | \(-0.882374\pi\) | ||
0.932496 | − | 0.361181i | \(-0.117626\pi\) | |||||||
\(272\) | −316649. | + | 62972.0i | −0.259511 | + | 0.0516090i | ||||
\(273\) | −506872. | + | 405496.i | −0.411615 | + | 0.329291i | ||||
\(274\) | −100139. | + | 84959.9i | −0.0805800 | + | 0.0683656i | ||||
\(275\) | 50084.5 | + | 86748.9i | 0.0399367 | + | 0.0691723i | ||||
\(276\) | 1.04437e6 | − | 585677.i | 0.825240 | − | 0.462792i | ||||
\(277\) | 900195. | − | 1.55918e6i | 0.704915 | − | 1.22095i | −0.261807 | − | 0.965120i | \(-0.584318\pi\) |
0.966722 | − | 0.255829i | \(-0.0823483\pi\) | |||||||
\(278\) | 336037. | + | 1.84691e6i | 0.260781 | + | 1.43329i | ||||
\(279\) | −580511. | − | 1.86158e6i | −0.446478 | − | 1.43176i | ||||
\(280\) | 363800. | − | 218038.i | 0.277311 | − | 0.166203i | ||||
\(281\) | −236453. | − | 136516.i | −0.178640 | − | 0.103138i | 0.408014 | − | 0.912976i | \(-0.366222\pi\) |
−0.586654 | + | 0.809838i | \(0.699555\pi\) | |||||||
\(282\) | −245343. | + | 1.25885e6i | −0.183717 | + | 0.942653i | ||||
\(283\) | −644438. | + | 372067.i | −0.478316 | + | 0.276156i | −0.719715 | − | 0.694270i | \(-0.755727\pi\) |
0.241398 | + | 0.970426i | \(0.422394\pi\) | |||||||
\(284\) | 727460. | + | 597036.i | 0.535196 | + | 0.439243i | ||||
\(285\) | 641982. | − | 1.64319e6i | 0.468178 | − | 1.19833i | ||||
\(286\) | −440304. | + | 1.23053e6i | −0.318301 | + | 0.889562i | ||||
\(287\) | 342889. | 0.245725 | ||||||||
\(288\) | 507214. | − | 1.31305e6i | 0.360338 | − | 0.932822i | ||||
\(289\) | 1.32045e6 | 0.929990 | ||||||||
\(290\) | 683367. | − | 1.90982e6i | 0.477154 | − | 1.33351i | ||||
\(291\) | 45973.8 | − | 7001.93i | 0.0318257 | − | 0.00484713i | ||||
\(292\) | −940531. | − | 771906.i | −0.645530 | − | 0.529795i | ||||
\(293\) | −330601. | + | 190873.i | −0.224976 | + | 0.129890i | −0.608252 | − | 0.793744i | \(-0.708129\pi\) |
0.383276 | + | 0.923634i | \(0.374796\pi\) | |||||||
\(294\) | 1.01622e6 | + | 884272.i | 0.685678 | + | 0.596647i | ||||
\(295\) | −94345.2 | − | 54470.2i | −0.0631197 | − | 0.0364422i | ||||
\(296\) | 814213. | − | 487986.i | 0.540143 | − | 0.323727i | ||||
\(297\) | 57656.6 | − | 820252.i | 0.0379278 | − | 0.539581i | ||||
\(298\) | 336515. | + | 1.84954e6i | 0.219515 | + | 1.20649i | ||||
\(299\) | 1.27737e6 | − | 2.21248e6i | 0.826304 | − | 1.43120i | ||||
\(300\) | −197892. | − | 117576.i | −0.126948 | − | 0.0754253i | ||||
\(301\) | −198336. | − | 343529.i | −0.126179 | − | 0.218548i | ||||
\(302\) | 1.49682e6 | − | 1.26993e6i | 0.944393 | − | 0.801241i | ||||
\(303\) | 123415. | + | 810326.i | 0.0772254 | + | 0.507053i | ||||
\(304\) | −1.89791e6 | + | 377437.i | −1.17785 | + | 0.234240i | ||||
\(305\) | 2.92506e6i | 1.80047i | ||||||||
\(306\) | 232023. | − | 366053.i | 0.141654 | − | 0.223481i | ||||
\(307\) | 3.21986e6i | 1.94980i | 0.222640 | + | 0.974901i | \(0.428533\pi\) | ||||
−0.222640 | + | 0.974901i | \(0.571467\pi\) | |||||||
\(308\) | −268142. | − | 44276.0i | −0.161060 | − | 0.0265945i | ||||
\(309\) | 174668. | + | 68241.8i | 0.104068 | + | 0.0406588i | ||||
\(310\) | 1.75875e6 | + | 2.07297e6i | 1.03944 | + | 1.22515i | ||||
\(311\) | 775835. | + | 1.34378e6i | 0.454850 | + | 0.787823i | 0.998680 | − | 0.0513724i | \(-0.0163596\pi\) |
−0.543830 | + | 0.839196i | \(0.683026\pi\) | |||||||
\(312\) | −500621. | − | 2.96127e6i | −0.291154 | − | 1.72223i | ||||
\(313\) | 263995. | − | 457253.i | 0.152312 | − | 0.263813i | −0.779765 | − | 0.626073i | \(-0.784661\pi\) |
0.932077 | + | 0.362260i | \(0.117995\pi\) | |||||||
\(314\) | −807807. | + | 146977.i | −0.462364 | + | 0.0841250i | ||||
\(315\) | −124983. | + | 555472.i | −0.0709697 | + | 0.315418i | ||||
\(316\) | 167351. | + | 444668.i | 0.0942779 | + | 0.250506i | ||||
\(317\) | 764737. | + | 441521.i | 0.427429 | + | 0.246776i | 0.698251 | − | 0.715853i | \(-0.253962\pi\) |
−0.270822 | + | 0.962630i | \(0.587295\pi\) | |||||||
\(318\) | −562788. | − | 1.63709e6i | −0.312088 | − | 0.907828i | ||||
\(319\) | −1.12560e6 | + | 649867.i | −0.619310 | + | 0.357559i | ||||
\(320\) | 64086.6 | + | 1.96133e6i | 0.0349858 | + | 1.07072i | ||||
\(321\) | 872135. | + | 1.09017e6i | 0.472412 | + | 0.590517i | ||||
\(322\) | 500197. | + | 178979.i | 0.268844 | + | 0.0961972i | ||||
\(323\) | −595799. | −0.317756 | ||||||||
\(324\) | 806412. | + | 1.70885e6i | 0.426771 | + | 0.904360i | ||||
\(325\) | −491127. | −0.257920 | ||||||||
\(326\) | −1.27848e6 | − | 457461.i | −0.666267 | − | 0.238402i | ||||
\(327\) | −290934. | − | 363669.i | −0.150462 | − | 0.188077i | ||||
\(328\) | −770691. | + | 1.38669e6i | −0.395545 | + | 0.711698i | ||||
\(329\) | −492799. | + | 284518.i | −0.251004 | + | 0.144917i | ||||
\(330\) | 372680. | + | 1.08408e6i | 0.188387 | + | 0.547997i | ||||
\(331\) | 128289. | + | 74067.9i | 0.0643607 | + | 0.0371587i | 0.531835 | − | 0.846848i | \(-0.321503\pi\) |
−0.467474 | + | 0.884007i | \(0.654836\pi\) | |||||||
\(332\) | 3.60399e6 | − | 1.35636e6i | 1.79448 | − | 0.675352i | ||||
\(333\) | −279721. | + | 1.24319e6i | −0.138234 | + | 0.614365i | ||||
\(334\) | −1.61098e6 | + | 293111.i | −0.790177 | + | 0.143769i | ||||
\(335\) | −1.28158e6 | + | 2.21976e6i | −0.623928 | + | 1.08067i | ||||
\(336\) | 587207. | − | 212652.i | 0.283755 | − | 0.102759i | ||||
\(337\) | 191733. | + | 332092.i | 0.0919651 | + | 0.159288i | 0.908338 | − | 0.418237i | \(-0.137352\pi\) |
−0.816373 | + | 0.577525i | \(0.804019\pi\) | |||||||
\(338\) | −2.78673e6 | − | 3.28462e6i | −1.32679 | − | 1.56384i | ||||
\(339\) | −3.59437e6 | − | 1.40430e6i | −1.69873 | − | 0.663682i | ||||
\(340\) | −98434.3 | + | 596132.i | −0.0461795 | + | 0.279669i | ||||
\(341\) | − | 1.74195e6i | − | 0.811239i | ||||||
\(342\) | 1.39069e6 | − | 2.19403e6i | 0.642930 | − | 1.01432i | ||||
\(343\) | 1.25524e6i | 0.576091i | ||||||||
\(344\) | 1.83507e6 | − | 29972.5i | 0.836095 | − | 0.0136561i | ||||
\(345\) | −337398. | − | 2.21531e6i | −0.152614 | − | 1.00205i | ||||
\(346\) | 2.44465e6 | − | 2.07409e6i | 1.09781 | − | 0.931400i | ||||
\(347\) | −602848. | − | 1.04416e6i | −0.268772 | − | 0.465527i | 0.699773 | − | 0.714365i | \(-0.253284\pi\) |
−0.968545 | + | 0.248839i | \(0.919951\pi\) | |||||||
\(348\) | 1.52560e6 | − | 2.56773e6i | 0.675294 | − | 1.13658i | ||||
\(349\) | −145755. | + | 252456.i | −0.0640562 | + | 0.110949i | −0.896275 | − | 0.443499i | \(-0.853737\pi\) |
0.832219 | + | 0.554447i | \(0.187070\pi\) | |||||||
\(350\) | −18281.7 | − | 100479.i | −0.00797714 | − | 0.0438435i | ||||
\(351\) | 3.34154e6 | + | 2.25566e6i | 1.44770 | + | 0.977250i | ||||
\(352\) | 781744. | − | 984887.i | 0.336285 | − | 0.423672i | ||||
\(353\) | −162770. | − | 93975.5i | −0.0695246 | − | 0.0401400i | 0.464835 | − | 0.885397i | \(-0.346114\pi\) |
−0.534359 | + | 0.845257i | \(0.679447\pi\) | |||||||
\(354\) | −121012. | − | 105299.i | −0.0513239 | − | 0.0446598i | ||||
\(355\) | 1.52526e6 | − | 880610.i | 0.642352 | − | 0.370862i | ||||
\(356\) | −720618. | + | 878039.i | −0.301356 | + | 0.367188i | ||||
\(357\) | 190096. | − | 28952.0i | 0.0789409 | − | 0.0120229i | ||||
\(358\) | 840199. | − | 2.34812e6i | 0.346477 | − | 0.968307i | ||||
\(359\) | −1.70884e6 | −0.699786 | −0.349893 | − | 0.936790i | \(-0.613782\pi\) | ||||
−0.349893 | + | 0.936790i | \(0.613782\pi\) | |||||||
\(360\) | −1.96549e6 | − | 1.75395e6i | −0.799309 | − | 0.713280i | ||||
\(361\) | −1.09496e6 | −0.442211 | ||||||||
\(362\) | −197920. | + | 553132.i | −0.0793814 | + | 0.221849i | ||||
\(363\) | −646293. | + | 1.65422e6i | −0.257432 | + | 0.658911i | ||||
\(364\) | 845348. | − | 1.03002e6i | 0.334412 | − | 0.407466i | ||||
\(365\) | −1.97201e6 | + | 1.13854e6i | −0.774776 | + | 0.447317i | ||||
\(366\) | −823917. | + | 4.22752e6i | −0.321500 | + | 1.64962i | ||||
\(367\) | −3.26612e6 | − | 1.88569e6i | −1.26581 | − | 0.730813i | −0.291614 | − | 0.956536i | \(-0.594192\pi\) |
−0.974191 | + | 0.225723i | \(0.927526\pi\) | |||||||
\(368\) | −1.84808e6 | + | 1.62059e6i | −0.711378 | + | 0.623810i | ||||
\(369\) | −634002. | − | 2.03311e6i | −0.242396 | − | 0.777312i | ||||
\(370\) | −318004. | − | 1.74779e6i | −0.120761 | − | 0.663722i | ||||
\(371\) | 384031. | − | 665162.i | 0.144855 | − | 0.250895i | ||||
\(372\) | 1.95797e6 | + | 3.49141e6i | 0.733582 | + | 1.30811i | ||||
\(373\) | 1.13464e6 | + | 1.96526e6i | 0.422267 | + | 0.731388i | 0.996161 | − | 0.0875420i | \(-0.0279012\pi\) |
−0.573894 | + | 0.818930i | \(0.694568\pi\) | |||||||
\(374\) | 295218. | − | 250469.i | 0.109135 | − | 0.0925923i | ||||
\(375\) | 1.94167e6 | − | 1.55333e6i | 0.713012 | − | 0.570408i | ||||
\(376\) | −42996.2 | − | 2.63244e6i | −0.0156841 | − | 0.960261i | ||||
\(377\) | − | 6.37257e6i | − | 2.30920i | ||||||
\(378\) | −337097. | + | 767605.i | −0.121346 | + | 0.276318i | ||||
\(379\) | − | 4.07165e6i | − | 1.45604i | −0.685557 | − | 0.728019i | \(-0.740441\pi\) | ||
0.685557 | − | 0.728019i | \(-0.259559\pi\) | |||||||
\(380\) | −589989. | + | 3.57305e6i | −0.209597 | + | 1.26935i | ||||
\(381\) | −3.23743e6 | + | 2.58994e6i | −1.14258 | + | 0.914065i | ||||
\(382\) | −1.57749e6 | − | 1.85932e6i | −0.553104 | − | 0.651923i | ||||
\(383\) | 1.22056e6 | + | 2.11407e6i | 0.425170 | + | 0.736415i | 0.996436 | − | 0.0843491i | \(-0.0268811\pi\) |
−0.571267 | + | 0.820765i | \(0.693548\pi\) | |||||||
\(384\) | −459835. | + | 2.85271e6i | −0.159138 | + | 0.987256i | ||||
\(385\) | −254307. | + | 440473.i | −0.0874393 | + | 0.151449i | ||||
\(386\) | −230922. | + | 42015.2i | −0.0788854 | + | 0.0143529i | ||||
\(387\) | −1.67018e6 | + | 1.81119e6i | −0.566873 | + | 0.614733i | ||||
\(388\) | −89345.5 | + | 33625.2i | −0.0301296 | + | 0.0113393i | ||||
\(389\) | 924047. | + | 533499.i | 0.309614 | + | 0.178756i | 0.646754 | − | 0.762699i | \(-0.276126\pi\) |
−0.337140 | + | 0.941455i | \(0.609460\pi\) | |||||||
\(390\) | −5.51676e6 | − | 1.07518e6i | −1.83663 | − | 0.357949i | ||||
\(391\) | −655407. | + | 378399.i | −0.216805 | + | 0.125172i | ||||
\(392\) | −2.41708e6 | − | 1.34336e6i | −0.794468 | − | 0.441546i | ||||
\(393\) | −421630. | + | 1.07918e6i | −0.137705 | + | 0.352463i | ||||
\(394\) | 1.88338e6 | + | 673906.i | 0.611220 | + | 0.218705i | ||||
\(395\) | 889166. | 0.286741 | ||||||||
\(396\) | 233266. | + | 1.67177e6i | 0.0747503 | + | 0.535722i | ||||
\(397\) | −2.64187e6 | −0.841271 | −0.420635 | − | 0.907230i | \(-0.638193\pi\) | ||||
−0.420635 | + | 0.907230i | \(0.638193\pi\) | |||||||
\(398\) | 892737. | + | 319437.i | 0.282498 | + | 0.101083i | ||||
\(399\) | 1.13938e6 | − | 173531.i | 0.358292 | − | 0.0545688i | ||||
\(400\) | 447442. | + | 151907.i | 0.139826 | + | 0.0474708i | ||||
\(401\) | 2.41745e6 | − | 1.39571e6i | 0.750751 | − | 0.433446i | −0.0752142 | − | 0.997167i | \(-0.523964\pi\) |
0.825965 | + | 0.563721i | \(0.190631\pi\) | |||||||
\(402\) | −2.47749e6 | + | 2.84718e6i | −0.764622 | + | 0.878719i | ||||
\(403\) | 7.39649e6 | + | 4.27037e6i | 2.26863 | + | 1.30979i | ||||
\(404\) | −592671. | − | 1.57479e6i | −0.180659 | − | 0.480030i | ||||
\(405\) | 3.52468e6 | − | 286001.i | 1.06778 | − | 0.0866424i | ||||
\(406\) | 1.30376e6 | − | 237213.i | 0.392538 | − | 0.0714205i | ||||
\(407\) | −569159. | + | 985812.i | −0.170313 | + | 0.294990i | ||||
\(408\) | −310180. | + | 833848.i | −0.0922494 | + | 0.247991i | ||||
\(409\) | −502887. | − | 871025.i | −0.148649 | − | 0.257468i | 0.782079 | − | 0.623179i | \(-0.214159\pi\) |
−0.930728 | + | 0.365711i | \(0.880826\pi\) | |||||||
\(410\) | 1.92081e6 | + | 2.26398e6i | 0.564318 | + | 0.665141i | ||||
\(411\) | 54487.9 | + | 357761.i | 0.0159109 | + | 0.104469i | ||||
\(412\) | −379811. | − | 62715.0i | −0.110236 | − | 0.0182024i | ||||
\(413\) | − | 71171.2i | − | 0.0205319i | ||||||
\(414\) | 136366. | − | 3.29677e6i | 0.0391027 | − | 0.945340i | ||||
\(415\) | − | 7.20660e6i | − | 2.05404i | ||||||
\(416\) | 2.26550e6 | + | 5.73381e6i | 0.641845 | + | 1.62446i | ||||
\(417\) | 4.81836e6 | + | 1.88250e6i | 1.35693 | + | 0.530145i | ||||
\(418\) | 1.76946e6 | − | 1.50124e6i | 0.495336 | − | 0.420253i | ||||
\(419\) | −2.85052e6 | − | 4.93724e6i | −0.793210 | − | 1.37388i | −0.923969 | − | 0.382466i | \(-0.875075\pi\) |
0.130759 | − | 0.991414i | \(-0.458259\pi\) | |||||||
\(420\) | 14614.2 | − | 1.16869e6i | 0.00404252 | − | 0.323278i | ||||
\(421\) | −2.95835e6 | + | 5.12400e6i | −0.813474 | + | 1.40898i | 0.0969446 | + | 0.995290i | \(0.469093\pi\) |
−0.910419 | + | 0.413688i | \(0.864240\pi\) | |||||||
\(422\) | 71201.1 | + | 391332.i | 0.0194628 | + | 0.106971i | ||||
\(423\) | 2.59819e6 | + | 2.39591e6i | 0.706025 | + | 0.651057i | ||||
\(424\) | 1.82685e6 | + | 3.04812e6i | 0.493500 | + | 0.823412i | ||||
\(425\) | 125996. | + | 72743.8i | 0.0338364 | + | 0.0195355i | ||||
\(426\) | 2.45247e6 | − | 843095.i | 0.654755 | − | 0.225088i | ||||
\(427\) | −1.65493e6 | + | 955477.i | −0.439249 | + | 0.253601i | ||||
\(428\) | −2.21534e6 | − | 1.81816e6i | −0.584563 | − | 0.479759i | ||||
\(429\) | 2.24982e6 | + | 2.81228e6i | 0.590207 | + | 0.737761i | ||||
\(430\) | 1.15716e6 | − | 3.23394e6i | 0.301802 | − | 0.843452i | ||||
\(431\) | −516224. | −0.133858 | −0.0669291 | − | 0.997758i | \(-0.521320\pi\) | ||||
−0.0669291 | + | 0.997758i | \(0.521320\pi\) | |||||||
\(432\) | −2.34663e6 | − | 3.08857e6i | −0.604973 | − | 0.796246i | ||||
\(433\) | 6.50137e6 | 1.66642 | 0.833212 | − | 0.552954i | \(-0.186499\pi\) | ||||
0.833212 | + | 0.552954i | \(0.186499\pi\) | |||||||
\(434\) | −598342. | + | 1.67220e6i | −0.152484 | + | 0.426151i | ||||
\(435\) | −3.49180e6 | − | 4.36476e6i | −0.884761 | − | 1.10595i | ||||
\(436\) | 739014. | + | 606518.i | 0.186181 | + | 0.152801i | ||||
\(437\) | −3.92833e6 | + | 2.26802e6i | −0.984021 | + | 0.568125i | ||||
\(438\) | −3.17079e6 | + | 1.09004e6i | −0.789736 | + | 0.271491i | ||||
\(439\) | 762498. | + | 440228.i | 0.188833 | + | 0.109023i | 0.591436 | − | 0.806352i | \(-0.298561\pi\) |
−0.402603 | + | 0.915375i | \(0.631895\pi\) | |||||||
\(440\) | −1.20974e6 | − | 2.01848e6i | −0.297894 | − | 0.497041i | ||||
\(441\) | 3.54383e6 | − | 1.10510e6i | 0.867713 | − | 0.270586i | ||||
\(442\) | 339793. | + | 1.86755e6i | 0.0827292 | + | 0.454692i | ||||
\(443\) | 372571. | − | 645312.i | 0.0901985 | − | 0.156228i | −0.817396 | − | 0.576076i | \(-0.804583\pi\) |
0.907595 | + | 0.419848i | \(0.137917\pi\) | |||||||
\(444\) | 32707.8 | − | 2.61562e6i | 0.00787396 | − | 0.629676i | ||||
\(445\) | 1.06289e6 | + | 1.84098e6i | 0.254442 | + | 0.440706i | ||||
\(446\) | 2.18964e6 | − | 1.85773e6i | 0.521238 | − | 0.442228i | ||||
\(447\) | 4.82521e6 | + | 1.88518e6i | 1.14221 | + | 0.446256i | ||||
\(448\) | −1.08874e6 | + | 676931.i | −0.256289 | + | 0.159349i | ||||
\(449\) | − | 3.80614e6i | − | 0.890983i | −0.895286 | − | 0.445492i | \(-0.853029\pi\) | ||
0.895286 | − | 0.445492i | \(-0.146971\pi\) | |||||||
\(450\) | −561973. | + | 294185.i | −0.130823 | + | 0.0684839i | ||||
\(451\) | − | 1.90246e6i | − | 0.440427i | ||||||
\(452\) | 7.81584e6 | + | 1.29056e6i | 1.79941 | + | 0.297121i | ||||
\(453\) | −814454. | − | 5.34761e6i | −0.186475 | − | 1.22437i | ||||
\(454\) | −401036. | − | 472686.i | −0.0913154 | − | 0.107630i | ||||
\(455\) | −1.24686e6 | − | 2.15963e6i | −0.282352 | − | 0.489047i | ||||
\(456\) | −1.85914e6 | + | 4.99786e6i | −0.418696 | + | 1.12557i | ||||
\(457\) | −1.54711e6 | + | 2.67967e6i | −0.346521 | + | 0.600192i | −0.985629 | − | 0.168925i | \(-0.945970\pi\) |
0.639108 | + | 0.769117i | \(0.279304\pi\) | |||||||
\(458\) | −2.00618e6 | + | 365015.i | −0.446895 | + | 0.0813106i | ||||
\(459\) | −523154. | − | 1.07361e6i | −0.115904 | − | 0.237857i | ||||
\(460\) | 1.62028e6 | + | 4.30524e6i | 0.357021 | + | 0.948642i | ||||
\(461\) | −6.16631e6 | − | 3.56012e6i | −1.35137 | − | 0.780212i | −0.362926 | − | 0.931818i | \(-0.618222\pi\) |
−0.988441 | + | 0.151606i | \(0.951556\pi\) | |||||||
\(462\) | −491614. | + | 564972.i | −0.107157 | + | 0.123146i | ||||
\(463\) | −4.12079e6 | + | 2.37914e6i | −0.893363 | + | 0.515784i | −0.875041 | − | 0.484049i | \(-0.839166\pi\) |
−0.0183222 | + | 0.999832i | \(0.505832\pi\) | |||||||
\(464\) | −1.97105e6 | + | 5.80575e6i | −0.425014 | + | 1.25188i | ||||
\(465\) | 7.40598e6 | − | 1.12795e6i | 1.58836 | − | 0.241912i | ||||
\(466\) | −4.99975e6 | − | 1.78900e6i | −1.06656 | − | 0.381632i | ||||
\(467\) | 7.37952e6 | 1.56580 | 0.782900 | − | 0.622148i | \(-0.213740\pi\) | ||||
0.782900 | + | 0.622148i | \(0.213740\pi\) | |||||||
\(468\) | −7.67038e6 | − | 3.10787e6i | −1.61883 | − | 0.655916i | ||||
\(469\) | −1.67452e6 | −0.351528 | ||||||||
\(470\) | −4.63915e6 | − | 1.65997e6i | −0.968710 | − | 0.346621i | ||||
\(471\) | −823374. | + | 2.10747e6i | −0.171019 | + | 0.437732i | ||||
\(472\) | 287826. | + | 159967.i | 0.0594670 | + | 0.0330503i | ||||
\(473\) | −1.90600e6 | + | 1.10043e6i | −0.391716 | + | 0.226157i | ||||
\(474\) | 1.28509e6 | + | 250456.i | 0.262716 | + | 0.0512018i | ||||
\(475\) | 755186. | + | 436007.i | 0.153575 | + | 0.0886665i | ||||
\(476\) | −369432. | + | 139036.i | −0.0747338 | + | 0.0281260i | ||||
\(477\) | −4.65405e6 | − | 1.04717e6i | −0.936560 | − | 0.210728i | ||||
\(478\) | 1.81454e6 | − | 330148.i | 0.363243 | − | 0.0660904i | ||||
\(479\) | 553793. | − | 959197.i | 0.110283 | − | 0.191016i | −0.805601 | − | 0.592458i | \(-0.798158\pi\) |
0.915884 | + | 0.401442i | \(0.131491\pi\) | |||||||
\(480\) | 4.69350e6 | + | 2.68589e6i | 0.929809 | + | 0.532090i | ||||
\(481\) | −2.79058e6 | − | 4.83342e6i | −0.549960 | − | 0.952559i | ||||
\(482\) | 277429. | + | 326995.i | 0.0543919 | + | 0.0641097i | ||||
\(483\) | 1.14316e6 | − | 914528.i | 0.222967 | − | 0.178373i | ||||
\(484\) | 593950. | − | 3.59705e6i | 0.115249 | − | 0.697963i | ||||
\(485\) | 178657.i | 0.0344878i | ||||||||
\(486\) | 5.17469e6 | + | 579465.i | 0.993789 | + | 0.111285i | ||||
\(487\) | − | 763869.i | − | 0.145948i | −0.997334 | − | 0.0729738i | \(-0.976751\pi\) | ||
0.997334 | − | 0.0729738i | \(-0.0232489\pi\) | |||||||
\(488\) | −144391. | − | 8.84036e6i | −0.0274468 | − | 1.68043i | ||||
\(489\) | −2.92186e6 | + | 2.33749e6i | −0.552571 | + | 0.442056i | ||||
\(490\) | −3.94625e6 | + | 3.34807e6i | −0.742496 | + | 0.629948i | ||||
\(491\) | 3.47276e6 | + | 6.01500e6i | 0.650087 | + | 1.12598i | 0.983101 | + | 0.183061i | \(0.0586007\pi\) |
−0.333015 | + | 0.942922i | \(0.608066\pi\) | |||||||
\(492\) | 2.13839e6 | + | 3.81312e6i | 0.398266 | + | 0.710179i | ||||
\(493\) | −943881. | + | 1.63485e6i | −0.174904 | + | 0.302943i | ||||
\(494\) | 2.03663e6 | + | 1.11936e7i | 0.375486 | + | 2.06373i | ||||
\(495\) | 3.08193e6 | + | 693442.i | 0.565340 | + | 0.127203i | ||||
\(496\) | −5.41775e6 | − | 6.17828e6i | −0.988815 | − | 1.12762i | ||||
\(497\) | 996459. | + | 575306.i | 0.180954 | + | 0.104474i | ||||
\(498\) | 2.02992e6 | − | 1.04155e7i | 0.366780 | − | 1.88195i | ||||
\(499\) | −5.34730e6 | + | 3.08727e6i | −0.961354 | + | 0.555038i | −0.896590 | − | 0.442862i | \(-0.853963\pi\) |
−0.0647647 | + | 0.997901i | \(0.520630\pi\) | |||||||
\(500\) | −3.23827e6 | + | 3.94567e6i | −0.579279 | + | 0.705824i | ||||
\(501\) | −1.64203e6 | + | 4.20285e6i | −0.292271 | + | 0.748082i | ||||
\(502\) | −1.85161e6 | + | 5.17472e6i | −0.327936 | + | 0.916490i | ||||
\(503\) | −3.43627e6 | −0.605574 | −0.302787 | − | 0.953058i | \(-0.597917\pi\) | ||||
−0.302787 | + | 0.953058i | \(0.597917\pi\) | |||||||
\(504\) | 350312. | − | 1.68496e6i | 0.0614298 | − | 0.295470i | ||||
\(505\) | −3.14897e6 | −0.549465 | ||||||||
\(506\) | 993031. | − | 2.77525e6i | 0.172420 | − | 0.481865i | ||||
\(507\) | −1.17348e7 | + | 1.78723e6i | −2.02747 | + | 0.308789i | ||||
\(508\) | 5.39931e6 | − | 6.57880e6i | 0.928280 | − | 1.13106i | ||||
\(509\) | 2.45696e6 | − | 1.41853e6i | 0.420343 | − | 0.242685i | −0.274881 | − | 0.961478i | \(-0.588638\pi\) |
0.695224 | + | 0.718793i | \(0.255305\pi\) | |||||||
\(510\) | 1.25604e6 | + | 1.09295e6i | 0.213835 | + | 0.186070i | ||||
\(511\) | −1.28832e6 | − | 743811.i | −0.218259 | − | 0.126012i | ||||
\(512\) | −290506. | − | 5.92452e6i | −0.0489756 | − | 0.998800i | ||||
\(513\) | −3.13564e6 | − | 6.43494e6i | −0.526057 | − | 1.07957i | ||||
\(514\) | 1.39783e6 | + | 7.68266e6i | 0.233370 | + | 1.28264i | ||||
\(515\) | −360214. | + | 623909.i | −0.0598470 | + | 0.103658i | ||||
\(516\) | 2.58333e6 | − | 4.34798e6i | 0.427126 | − | 0.718892i | ||||
\(517\) | 1.57859e6 | + | 2.73420e6i | 0.259743 | + | 0.449888i | ||||
\(518\) | 884987. | − | 750840.i | 0.144915 | − | 0.122948i | ||||
\(519\) | −1.33019e6 | − | 8.73385e6i | −0.216768 | − | 1.42327i | ||||
\(520\) | 1.15363e7 | − | 188425.i | 1.87094 | − | 0.0305584i | ||||
\(521\) | 1.84176e6i | 0.297261i | 0.988893 | + | 0.148631i | \(0.0474866\pi\) | ||||
−0.988893 | + | 0.148631i | \(0.952513\pi\) | |||||||
\(522\) | −3.81716e6 | − | 7.29183e6i | −0.613147 | − | 1.17128i | ||||
\(523\) | 1.03954e7i | 1.66183i | 0.556398 | + | 0.830916i | \(0.312183\pi\) | ||||
−0.556398 | + | 0.830916i | \(0.687817\pi\) | |||||||
\(524\) | 387483. | − | 2.34665e6i | 0.0616487 | − | 0.373353i | ||||
\(525\) | −262137. | − | 102415.i | −0.0415079 | − | 0.0162169i | ||||
\(526\) | −1.76156e6 | − | 2.07628e6i | −0.277608 | − | 0.327207i | ||||
\(527\) | −1.26502e6 | − | 2.19108e6i | −0.198413 | − | 0.343662i | ||||
\(528\) | −1.17986e6 | − | 3.25801e6i | −0.184181 | − | 0.508589i | ||||
\(529\) | 337272. | − | 584172.i | 0.0524012 | − | 0.0907615i | ||||
\(530\) | 6.54312e6 | − | 1.19049e6i | 1.01180 | − | 0.184093i | ||||
\(531\) | −421999. | + | 131596.i | −0.0649494 | + | 0.0202537i | ||||
\(532\) | −2.21427e6 | + | 833342.i | −0.339197 | + | 0.127657i | ||||
\(533\) | 8.07804e6 | + | 4.66386e6i | 1.23165 | + | 0.711094i | ||||
\(534\) | 1.01761e6 | + | 2.96011e6i | 0.154429 | + | 0.449216i | ||||
\(535\) | −4.64490e6 | + | 2.68173e6i | −0.701603 | + | 0.405071i | ||||
\(536\) | 3.76372e6 | − | 6.77201e6i | 0.565856 | − | 1.01814i | ||||
\(537\) | −4.29316e6 | − | 5.36646e6i | −0.642453 | − | 0.803068i | ||||
\(538\) | −5.97327e6 | − | 2.13734e6i | −0.889726 | − | 0.318359i | ||||
\(539\) | 3.31609e6 | 0.491648 | ||||||||
\(540\) | −6.95659e6 | + | 2.07425e6i | −1.02663 | + | 0.306110i | ||||
\(541\) | 330411. | 0.0485357 | 0.0242679 | − | 0.999705i | \(-0.492275\pi\) | ||||
0.0242679 | + | 0.999705i | \(0.492275\pi\) | |||||||
\(542\) | 4.65149e6 | + | 1.66438e6i | 0.680133 | + | 0.243364i | ||||
\(543\) | 1.01131e6 | + | 1.26414e6i | 0.147193 | + | 0.183991i | ||||
\(544\) | 268069. | − | 1.80654e6i | 0.0388373 | − | 0.261727i | ||||
\(545\) | 1.54949e6 | − | 894596.i | 0.223458 | − | 0.129014i | ||||
\(546\) | −1.19375e6 | − | 3.47247e6i | −0.171368 | − | 0.498490i | ||||
\(547\) | 1.06834e7 | + | 6.16808e6i | 1.52666 | + | 0.881417i | 0.999499 | + | 0.0316507i | \(0.0100764\pi\) |
0.527160 | + | 0.849766i | \(0.323257\pi\) | |||||||
\(548\) | −261666. | − | 695272.i | −0.0372216 | − | 0.0989017i | ||||
\(549\) | 8.72533e6 | + | 8.04602e6i | 1.23552 | + | 1.13933i | ||||
\(550\) | −557489. | + | 101433.i | −0.0785832 | + | 0.0142979i | ||||
\(551\) | −5.65737e6 | + | 9.79885e6i | −0.793845 | + | 1.37498i | ||||
\(552\) | 1.12907e6 | + | 6.67864e6i | 0.157714 | + | 0.932911i | ||||
\(553\) | 290448. | + | 503070.i | 0.0403883 | + | 0.0699545i | ||||
\(554\) | 6.58887e6 | + | 7.76606e6i | 0.912088 | + | 1.07504i | ||||
\(555\) | −4.55978e6 | − | 1.78147e6i | −0.628364 | − | 0.245498i | ||||
\(556\) | −1.04774e7 | − | 1.73004e6i | −1.43736 | − | 0.237339i | ||||
\(557\) | 5.94173e6i | 0.811474i | 0.913990 | + | 0.405737i | \(0.132985\pi\) | ||||
−0.913990 | + | 0.405737i | \(0.867015\pi\) | |||||||
\(558\) | 1.10214e7 | + | 455884.i | 1.49848 | + | 0.0619825i | ||||
\(559\) | − | 1.07908e7i | − | 1.46058i | ||||||
\(560\) | 467979. | + | 2.35319e6i | 0.0630603 | + | 0.317094i | ||||
\(561\) | −160635. | − | 1.05471e6i | −0.0215493 | − | 0.141490i | ||||
\(562\) | 1.17774e6 | − | 999214.i | 0.157292 | − | 0.133450i | ||||
\(563\) | −66573.9 | − | 115309.i | −0.00885182 | − | 0.0153318i | 0.861566 | − | 0.507646i | \(-0.169484\pi\) |
−0.870417 | + | 0.492315i | \(0.836151\pi\) | |||||||
\(564\) | −6.23728e6 | − | 3.70584e6i | −0.825652 | − | 0.490557i | ||||
\(565\) | 7.41258e6 | − | 1.28390e7i | 0.976896 | − | 1.69203i | ||||
\(566\) | −753521. | − | 4.14146e6i | −0.0988676 | − | 0.543391i | ||||
\(567\) | 1.31316e6 | + | 1.90076e6i | 0.171537 | + | 0.248296i | ||||
\(568\) | −4.56629e6 | + | 2.73674e6i | −0.593872 | + | 0.355929i | ||||
\(569\) | 3.70587e6 | + | 2.13959e6i | 0.479854 | + | 0.277044i | 0.720356 | − | 0.693605i | \(-0.243979\pi\) |
−0.240501 | + | 0.970649i | \(0.577312\pi\) | |||||||
\(570\) | 7.52839e6 | + | 6.55087e6i | 0.970543 | + | 0.844523i | ||||
\(571\) | 525371. | − | 303323.i | 0.0674335 | − | 0.0389328i | −0.465904 | − | 0.884835i | \(-0.654271\pi\) |
0.533338 | + | 0.845902i | \(0.320938\pi\) | |||||||
\(572\) | −5.71485e6 | − | 4.69025e6i | −0.730323 | − | 0.599386i | ||||
\(573\) | −6.64270e6 | + | 1.01170e6i | −0.845197 | + | 0.128726i | ||||
\(574\) | −653476. | + | 1.82628e6i | −0.0827846 | + | 0.231360i | ||||
\(575\) | 1.10765e6 | 0.139712 | ||||||||
\(576\) | 6.02685e6 | + | 5.20389e6i | 0.756892 | + | 0.653540i | ||||
\(577\) | −496600. | −0.0620965 | −0.0310483 | − | 0.999518i | \(-0.509885\pi\) | ||||
−0.0310483 | + | 0.999518i | \(0.509885\pi\) | |||||||
\(578\) | −2.51651e6 | + | 7.03294e6i | −0.313313 | + | 0.875624i | ||||
\(579\) | −235372. | + | 602446.i | −0.0291782 | + | 0.0746830i | ||||
\(580\) | 8.86965e6 | + | 7.27944e6i | 1.09480 | + | 0.898520i | ||||
\(581\) | 4.07733e6 | − | 2.35405e6i | 0.501113 | − | 0.289318i | ||||
\(582\) | −50323.2 | + | 258208.i | −0.00615829 | + | 0.0315982i | ||||
\(583\) | −3.69053e6 | − | 2.13073e6i | −0.449694 | − | 0.259631i | ||||
\(584\) | 5.90375e6 | − | 3.53833e6i | 0.716302 | − | 0.429305i | ||||
\(585\) | −1.04998e7 | + | 1.13862e7i | −1.26850 | + | 1.37560i | ||||
\(586\) | −386561. | − | 2.12460e6i | −0.0465023 | − | 0.255583i | ||||
\(587\) | 7.37488e6 | − | 1.27737e7i | 0.883405 | − | 1.53010i | 0.0358744 | − | 0.999356i | \(-0.488578\pi\) |
0.847531 | − | 0.530746i | \(-0.178088\pi\) | |||||||
\(588\) | −6.64648e6 | + | 3.72732e6i | −0.792772 | + | 0.444584i | ||||
\(589\) | −7.58219e6 | − | 1.31327e7i | −0.900547 | − | 1.55979i | ||||
\(590\) | 469919. | − | 398689.i | 0.0555768 | − | 0.0471524i | ||||
\(591\) | 4.30433e6 | − | 3.44346e6i | 0.506917 | − | 0.405533i | ||||
\(592\) | 1.04737e6 | + | 5.26663e6i | 0.122828 | + | 0.617630i | ||||
\(593\) | 1.01532e7i | 1.18568i | 0.805322 | + | 0.592838i | \(0.201992\pi\) | ||||
−0.805322 | + | 0.592838i | \(0.798008\pi\) | |||||||
\(594\) | 4.25891e6 | + | 1.87032e6i | 0.495259 | + | 0.217495i | ||||
\(595\) | 738722.i | 0.0855438i | ||||||||
\(596\) | −1.04923e7 | − | 1.73250e6i | −1.20991 | − | 0.199783i | ||||
\(597\) | 2.04029e6 | − | 1.63223e6i | 0.234291 | − | 0.187432i | ||||
\(598\) | 9.34959e6 | + | 1.10200e7i | 1.06915 | + | 1.26017i | ||||
\(599\) | 5.29325e6 | + | 9.16817e6i | 0.602775 | + | 1.04404i | 0.992399 | + | 0.123062i | \(0.0392715\pi\) |
−0.389624 | + | 0.920974i | \(0.627395\pi\) | |||||||
\(600\) | 1.00337e6 | − | 829928.i | 0.113785 | − | 0.0941157i | ||||
\(601\) | 6.67071e6 | − | 1.15540e7i | 0.753331 | − | 1.30481i | −0.192869 | − | 0.981224i | \(-0.561779\pi\) |
0.946200 | − | 0.323583i | \(-0.104887\pi\) | |||||||
\(602\) | 2.20768e6 | − | 401677.i | 0.248281 | − | 0.0451737i | ||||
\(603\) | 3.09619e6 | + | 9.92884e6i | 0.346765 | + | 1.11200i | ||||
\(604\) | 3.91123e6 | + | 1.03925e7i | 0.436235 | + | 1.15912i | ||||
\(605\) | −5.90881e6 | − | 3.41146e6i | −0.656314 | − | 0.378923i | ||||
\(606\) | −4.55113e6 | − | 886987.i | −0.503428 | − | 0.0981150i | ||||
\(607\) | 6.57795e6 | − | 3.79778e6i | 0.724635 | − | 0.418368i | −0.0918216 | − | 0.995775i | \(-0.529269\pi\) |
0.816456 | + | 0.577408i | \(0.195936\pi\) | |||||||
\(608\) | 1.60673e6 | − | 1.08279e7i | 0.176273 | − | 1.18791i | ||||
\(609\) | 1.32888e6 | − | 3.40134e6i | 0.145192 | − | 0.371626i | ||||
\(610\) | −1.55793e7 | − | 5.57456e6i | −1.69521 | − | 0.606577i | ||||
\(611\) | −1.54796e7 | −1.67748 | ||||||||
\(612\) | 1.50747e6 | + | 1.93341e6i | 0.162693 | + | 0.208663i | ||||
\(613\) | 1.15773e7 | 1.24438 | 0.622192 | − | 0.782865i | \(-0.286242\pi\) | ||||
0.622192 | + | 0.782865i | \(0.286242\pi\) | |||||||
\(614\) | −1.71495e7 | − | 6.13637e6i | −1.83582 | − | 0.656887i | ||||
\(615\) | 8.08840e6 | − | 1.23188e6i | 0.862333 | − | 0.131335i | ||||
\(616\) | 746844. | − | 1.34378e6i | 0.0793009 | − | 0.142685i | ||||
\(617\) | −4.79775e6 | + | 2.76998e6i | −0.507370 | + | 0.292930i | −0.731752 | − | 0.681571i | \(-0.761297\pi\) |
0.224382 | + | 0.974501i | \(0.427964\pi\) | |||||||
\(618\) | −696348. | + | 800257.i | −0.0733424 | + | 0.0842866i | ||||
\(619\) | 399838. | + | 230847.i | 0.0419428 | + | 0.0242157i | 0.520825 | − | 0.853664i | \(-0.325624\pi\) |
−0.478882 | + | 0.877879i | \(0.658958\pi\) | |||||||
\(620\) | −1.43928e7 | + | 5.41672e6i | −1.50371 | + | 0.565923i | ||||
\(621\) | −7.53627e6 | − | 5.08726e6i | −0.784201 | − | 0.529364i | ||||
\(622\) | −8.63579e6 | + | 1.57124e6i | −0.895006 | + | 0.162842i | ||||
\(623\) | −694390. | + | 1.20272e6i | −0.0716776 | + | 0.124149i | ||||
\(624\) | 1.67263e7 | + | 2.97718e6i | 1.71964 | + | 0.306086i | ||||
\(625\) | 5.49736e6 | + | 9.52171e6i | 0.562930 | + | 0.975023i | ||||
\(626\) | 1.93228e6 | + | 2.27751e6i | 0.197076 | + | 0.232287i | ||||
\(627\) | −962803. | − | 6.32165e6i | −0.0978066 | − | 0.642187i | ||||
\(628\) | 756689. | − | 4.58262e6i | 0.0765629 | − | 0.463676i | ||||
\(629\) | 1.65332e6i | 0.166621i | ||||||||
\(630\) | −2.72034e6 | − | 1.72429e6i | −0.273069 | − | 0.173085i | ||||
\(631\) | − | 1.33405e7i | − | 1.33383i | −0.745136 | − | 0.666913i | \(-0.767615\pi\) | ||
0.745136 | − | 0.666913i | \(-0.232385\pi\) | |||||||
\(632\) | −2.68731e6 | + | 43892.3i | −0.267624 | + | 0.00437115i | ||||
\(633\) | 1.02094e6 | + | 398873.i | 0.101272 | + | 0.0395663i | ||||
\(634\) | −3.80904e6 | + | 3.23166e6i | −0.376350 | + | 0.319303i | ||||
\(635\) | −7.96382e6 | − | 1.37937e7i | −0.783767 | − | 1.35752i | ||||
\(636\) | 9.79193e6 | + | 122446.i | 0.959899 | + | 0.0120033i | ||||
\(637\) | −8.12936e6 | + | 1.40805e7i | −0.793794 | + | 1.37489i | ||||
\(638\) | −1.31613e6 | − | 7.23365e6i | −0.128011 | − | 0.703567i | ||||
\(639\) | 1.56874e6 | − | 6.97209e6i | 0.151984 | − | 0.675478i | ||||
\(640\) | −1.05685e7 | − | 3.39655e6i | −1.01991 | − | 0.327784i | ||||
\(641\) | −2.31892e6 | − | 1.33883e6i | −0.222915 | − | 0.128700i | 0.384384 | − | 0.923173i | \(-0.374414\pi\) |
−0.607299 | + | 0.794473i | \(0.707747\pi\) | |||||||
\(642\) | −7.46853e6 | + | 2.56749e6i | −0.715151 | + | 0.245850i | ||||
\(643\) | 1.46328e7 | − | 8.44826e6i | 1.39573 | − | 0.805824i | 0.401786 | − | 0.915734i | \(-0.368390\pi\) |
0.993942 | + | 0.109910i | \(0.0350563\pi\) | |||||||
\(644\) | −1.90654e6 | + | 2.32303e6i | −0.181147 | + | 0.220719i | ||||
\(645\) | −5.91273e6 | − | 7.39093e6i | −0.559614 | − | 0.699519i | ||||
\(646\) | 1.13547e6 | − | 3.17332e6i | 0.107052 | − | 0.299180i | ||||
\(647\) | −7.65712e6 | −0.719126 | −0.359563 | − | 0.933121i | \(-0.617074\pi\) | ||||
−0.359563 | + | 0.933121i | \(0.617074\pi\) | |||||||
\(648\) | −1.06385e7 | + | 1.03837e6i | −0.995270 | + | 0.0971434i | ||||
\(649\) | −394880. | −0.0368005 | ||||||||
\(650\) | 935986. | − | 2.61582e6i | 0.0868932 | − | 0.242842i | ||||
\(651\) | 3.05735e6 | + | 3.82169e6i | 0.282743 | + | 0.353430i | ||||
\(652\) | 4.87302e6 | − | 5.93754e6i | 0.448930 | − | 0.547000i | ||||
\(653\) | 957462. | − | 552791.i | 0.0878696 | − | 0.0507315i | −0.455421 | − | 0.890276i | \(-0.650511\pi\) |
0.543291 | + | 0.839544i | \(0.317178\pi\) | |||||||
\(654\) | 2.49142e6 | − | 856485.i | 0.227773 | − | 0.0783025i | ||||
\(655\) | −3.85480e6 | − | 2.22557e6i | −0.351074 | − | 0.202693i | ||||
\(656\) | −5.91697e6 | − | 6.74757e6i | −0.536834 | − | 0.612192i | ||||
\(657\) | −2.02822e6 | + | 9.01421e6i | −0.183316 | + | 0.814731i | ||||
\(658\) | −576214. | − | 3.16696e6i | −0.0518823 | − | 0.285153i | ||||
\(659\) | 7.66650e6 | − | 1.32788e7i | 0.687675 | − | 1.19109i | −0.284912 | − | 0.958554i | \(-0.591965\pi\) |
0.972588 | − | 0.232535i | \(-0.0747021\pi\) | |||||||
\(660\) | −6.48425e6 | − | 81084.2i | −0.579429 | − | 0.00724564i | ||||
\(661\) | 3.77496e6 | + | 6.53842e6i | 0.336054 | + | 0.582062i | 0.983687 | − | 0.179890i | \(-0.0575743\pi\) |
−0.647633 | + | 0.761952i | \(0.724241\pi\) | |||||||
\(662\) | −638990. | + | 542131.i | −0.0566695 | + | 0.0480795i | ||||
\(663\) | 4.87221e6 | + | 1.90354e6i | 0.430469 | + | 0.168181i | ||||
\(664\) | 355742. | + | 2.17803e7i | 0.0313123 | + | 1.91710i | ||||
\(665\) | 4.42770e6i | 0.388261i | ||||||||
\(666\) | −6.08833e6 | − | 3.85910e6i | −0.531879 | − | 0.337132i | ||||
\(667\) | 1.43723e7i | 1.25087i | ||||||||
\(668\) | 1.50904e6 | − | 9.13895e6i | 0.130846 | − | 0.792420i | ||||
\(669\) | −1.19143e6 | − | 7.82280e6i | −0.102921 | − | 0.675767i | ||||
\(670\) | −9.38039e6 | − | 1.10563e7i | −0.807298 | − | 0.951532i | ||||
\(671\) | 5.30128e6 | + | 9.18209e6i | 0.454543 | + | 0.787291i | ||||
\(672\) | 13522.3 | + | 3.53283e6i | 0.00115512 | + | 0.301786i | ||||
\(673\) | 1.45359e6 | − | 2.51769e6i | 0.123710 | − | 0.214271i | −0.797518 | − | 0.603295i | \(-0.793854\pi\) |
0.921228 | + | 0.389023i | \(0.127188\pi\) | |||||||
\(674\) | −2.13418e6 | + | 388304.i | −0.180959 | + | 0.0329248i | ||||
\(675\) | −122565. | + | 1.74367e6i | −0.0103540 | + | 0.147301i | ||||
\(676\) | 2.28053e7 | − | 8.58278e6i | 1.91942 | − | 0.722372i | ||||
\(677\) | 8.20582e6 | + | 4.73763e6i | 0.688098 | + | 0.397274i | 0.802899 | − | 0.596115i | \(-0.203290\pi\) |
−0.114801 | + | 0.993389i | \(0.536623\pi\) | |||||||
\(678\) | 1.43296e7 | − | 1.64679e7i | 1.19718 | − | 1.37583i | ||||
\(679\) | −101080. | + | 58358.6i | −0.00841377 | + | 0.00485769i | ||||
\(680\) | −2.98750e6 | − | 1.66038e6i | −0.247762 | − | 0.137700i | ||||
\(681\) | −1.68874e6 | + | 257199.i | −0.139539 | + | 0.0212521i | ||||
\(682\) | 9.27788e6 | + | 3.31979e6i | 0.763814 | + | 0.273306i | ||||
\(683\) | 6.62953e6 | 0.543789 | 0.271895 | − | 0.962327i | \(-0.412350\pi\) | ||||
0.271895 | + | 0.962327i | \(0.412350\pi\) | |||||||
\(684\) | 9.03537e6 | + | 1.15884e7i | 0.738424 | + | 0.947070i | ||||
\(685\) | −1.39028e6 | −0.113208 | ||||||||
\(686\) | −6.68560e6 | − | 2.39222e6i | −0.542413 | − | 0.194085i | ||||
\(687\) | −2.04484e6 | + | 5.23386e6i | −0.165298 | + | 0.423088i | ||||
\(688\) | −3.33762e6 | + | 9.83098e6i | −0.268822 | + | 0.791819i | ||||
\(689\) | 1.80946e7 | − | 1.04469e7i | 1.45211 | − | 0.838378i | ||||
\(690\) | 1.24421e7 | + | 2.42489e6i | 0.994882 | + | 0.193896i | ||||
\(691\) | −6.59285e6 | − | 3.80638e6i | −0.525264 | − | 0.303261i | 0.213822 | − | 0.976873i | \(-0.431409\pi\) |
−0.739086 | + | 0.673611i | \(0.764742\pi\) | |||||||
\(692\) | 6.38792e6 | + | 1.69733e7i | 0.507101 | + | 1.34742i | ||||
\(693\) | 614384. | + | 1.97020e6i | 0.0485967 | + | 0.155840i | ||||
\(694\) | 6.71028e6 | − | 1.22091e6i | 0.528861 | − | 0.0962240i | ||||
\(695\) | −9.93677e6 | + | 1.72110e7i | −0.780339 | + | 1.35159i | ||||
\(696\) | 1.07686e7 | + | 1.30192e7i | 0.842632 | + | 1.01873i | ||||
\(697\) | −1.38159e6 | − | 2.39298e6i | −0.107720 | − | 0.186576i | ||||
\(698\) | −1.06684e6 | − | 1.25744e6i | −0.0828821 | − | 0.0976900i | ||||
\(699\) | −1.14266e7 | + | 9.14123e6i | −0.884551 | + | 0.707639i | ||||
\(700\) | 570009. | + | 94120.8i | 0.0439680 | + | 0.00726007i | ||||
\(701\) | − | 3.35628e6i | − | 0.257966i | −0.991647 | − | 0.128983i | \(-0.958829\pi\) | ||
0.991647 | − | 0.128983i | \(-0.0411713\pi\) | |||||||
\(702\) | −1.83823e7 | + | 1.34987e7i | −1.40785 | + | 1.03383i | ||||
\(703\) | 9.90954e6i | 0.756249i | ||||||||
\(704\) | 3.75582e6 | + | 6.04068e6i | 0.285610 | + | 0.459361i | ||||
\(705\) | −1.06024e7 | + | 8.48193e6i | −0.803403 | + | 0.642720i | ||||
\(706\) | 810734. | − | 687842.i | 0.0612163 | − | 0.0519370i | ||||
\(707\) | −1.02862e6 | − | 1.78162e6i | −0.0773936 | − | 0.134050i | ||||
\(708\) | 791463. | − | 443850.i | 0.0593400 | − | 0.0332777i | ||||
\(709\) | 3.57561e6 | − | 6.19313e6i | 0.267137 | − | 0.462695i | −0.700984 | − | 0.713177i | \(-0.747256\pi\) |
0.968121 | + | 0.250482i | \(0.0805890\pi\) | |||||||
\(710\) | 1.78344e6 | + | 9.80204e6i | 0.132774 | + | 0.729744i | ||||
\(711\) | 2.44584e6 | − | 2.65234e6i | 0.181449 | − | 0.196769i | ||||
\(712\) | −3.30323e6 | − | 5.51149e6i | −0.244196 | − | 0.407445i | ||||
\(713\) | −1.66815e7 | − | 9.63109e6i | −1.22889 | − | 0.709499i | ||||
\(714\) | −208080. | + | 1.06766e6i | −0.0152751 | + | 0.0783765i | ||||
\(715\) | −1.19823e7 | + | 6.91798e6i | −0.876547 | + | 0.506074i | ||||
\(716\) | 1.09052e7 | + | 8.95006e6i | 0.794972 | + | 0.652444i | ||||
\(717\) | 1.84951e6 | − | 4.73391e6i | 0.134356 | − | 0.343892i | ||||
\(718\) | 3.25669e6 | − | 9.10155e6i | 0.235758 | − | 0.658877i | ||||
\(719\) | −1.05572e7 | −0.761603 | −0.380801 | − | 0.924657i | \(-0.624352\pi\) | ||||
−0.380801 | + | 0.924657i | \(0.624352\pi\) | |||||||
\(720\) | 1.30876e7 | − | 7.12586e6i | 0.940869 | − | 0.512279i | ||||
\(721\) | −470659. | −0.0337185 | ||||||||
\(722\) | 2.08676e6 | − | 5.83191e6i | 0.148981 | − | 0.416359i | ||||
\(723\) | 1.16824e6 | − | 177925.i | 0.0831161 | − | 0.0126588i | ||||
\(724\) | −2.56887e6 | − | 2.10831e6i | −0.182136 | − | 0.149482i | ||||
\(725\) | 2.39278e6 | − | 1.38147e6i | 0.169066 | − | 0.0976104i | ||||
\(726\) | −7.57894e6 | − | 6.59486e6i | −0.533663 | − | 0.464370i | ||||
\(727\) | 457178. | + | 263952.i | 0.0320811 | + | 0.0185220i | 0.515955 | − | 0.856616i | \(-0.327437\pi\) |
−0.483874 | + | 0.875138i | \(0.660771\pi\) | |||||||
\(728\) | 3.87498e6 | + | 6.46546e6i | 0.270982 | + | 0.452138i | ||||
\(729\) | 8.84227e6 | − | 1.13007e7i | 0.616233 | − | 0.787564i | ||||
\(730\) | −2.30580e6 | − | 1.26730e7i | −0.160146 | − | 0.880184i | ||||
\(731\) | −1.59829e6 | + | 2.76832e6i | −0.110627 | + | 0.191612i | ||||
\(732\) | −2.09462e7 | − | 1.24451e7i | −1.44487 | − | 0.858460i | ||||
\(733\) | −1.01725e7 | − | 1.76192e7i | −0.699304 | − | 1.21123i | −0.968708 | − | 0.248202i | \(-0.920160\pi\) |
0.269404 | − | 0.963027i | \(-0.413173\pi\) | |||||||
\(734\) | 1.62681e7 | − | 1.38021e7i | 1.11454 | − | 0.945596i | ||||
\(735\) | 2.14724e6 | + | 1.40985e7i | 0.146610 | + | 0.962621i | ||||
\(736\) | −5.10945e6 | − | 1.29316e7i | −0.347680 | − | 0.879953i | ||||
\(737\) | 9.29078e6i | 0.630062i | ||||||||
\(738\) | 1.20370e7 | + | 497892.i | 0.813534 | + | 0.0336507i | ||||
\(739\) | − | 4.56621e6i | − | 0.307570i | −0.988104 | − | 0.153785i | \(-0.950854\pi\) | ||
0.988104 | − | 0.153785i | \(-0.0491464\pi\) | |||||||
\(740\) | 9.91508e6 | + | 1.63719e6i | 0.665605 | + | 0.109906i | ||||
\(741\) | 2.92027e7 | + | 1.14093e7i | 1.95379 | + | 0.763332i | ||||
\(742\) | 2.81087e6 | + | 3.31307e6i | 0.187427 | + | 0.220913i | ||||
\(743\) | 8.52924e6 | + | 1.47731e7i | 0.566811 | + | 0.981745i | 0.996879 | + | 0.0789485i | \(0.0251563\pi\) |
−0.430068 | + | 0.902797i | \(0.641510\pi\) | |||||||
\(744\) | −2.23273e7 | + | 3.77456e6i | −1.47878 | + | 0.249997i | ||||
\(745\) | −9.95091e6 | + | 1.72355e7i | −0.656859 | + | 1.13771i | ||||
\(746\) | −1.26297e7 | + | 2.29791e6i | −0.830893 | + | 0.151177i | ||||
\(747\) | −2.14970e7 | − | 1.98233e7i | −1.40953 | − | 1.29979i | ||||
\(748\) | 771413. | + | 2.04972e6i | 0.0504119 | + | 0.133949i | ||||
\(749\) | −3.03453e6 | − | 1.75199e6i | −0.197645 | − | 0.114111i | ||||
\(750\) | 4.57287e6 | + | 1.33019e7i | 0.296849 | + | 0.863500i | ||||
\(751\) | 4.42935e6 | − | 2.55729e6i | 0.286576 | − | 0.165455i | −0.349821 | − | 0.936817i | \(-0.613757\pi\) |
0.636397 | + | 0.771362i | \(0.280424\pi\) | |||||||
\(752\) | 1.41027e7 | + | 4.78788e6i | 0.909409 | + | 0.308744i | ||||
\(753\) | 9.46114e6 | + | 1.18265e7i | 0.608074 | + | 0.760094i | ||||
\(754\) | 3.39413e7 | + | 1.21448e7i | 2.17421 | + | 0.777968i | ||||
\(755\) | 2.07811e7 | 1.32679 | ||||||||
\(756\) | −3.44595e6 | − | 3.25833e6i | −0.219283 | − | 0.207343i | ||||
\(757\) | 6.36558e6 | 0.403736 | 0.201868 | − | 0.979413i | \(-0.435299\pi\) | ||||
0.201868 | + | 0.979413i | \(0.435299\pi\) | |||||||
\(758\) | 2.16863e7 | + | 7.75972e6i | 1.37092 | + | 0.490539i | ||||
\(759\) | −5.07409e6 | − | 6.34262e6i | −0.319708 | − | 0.399636i | ||||
\(760\) | −1.79062e7 | − | 9.95187e6i | −1.12453 | − | 0.624986i | ||||
\(761\) | −9.28199e6 | + | 5.35896e6i | −0.581005 | + | 0.335443i | −0.761533 | − | 0.648127i | \(-0.775553\pi\) |
0.180528 | + | 0.983570i | \(0.442219\pi\) | |||||||
\(762\) | −7.62455e6 | − | 2.21789e7i | −0.475693 | − | 1.38374i | ||||
\(763\) | 1.01228e6 | + | 584443.i | 0.0629494 | + | 0.0363438i | ||||
\(764\) | 1.29094e7 | − | 4.85845e6i | 0.800153 | − | 0.301137i | ||||
\(765\) | 4.38014e6 | − | 1.36590e6i | 0.270604 | − | 0.0843848i | ||||
\(766\) | −1.35860e7 | + | 2.47192e6i | −0.836605 | + | 0.152217i | ||||
\(767\) | 968045. | − | 1.67670e6i | 0.0594165 | − | 0.102912i | ||||
\(768\) | −1.43176e7 | − | 7.88583e6i | −0.875928 | − | 0.482441i | ||||
\(769\) | 7.59857e6 | + | 1.31611e7i | 0.463358 | + | 0.802559i | 0.999126 | − | 0.0418063i | \(-0.0133112\pi\) |
−0.535768 | + | 0.844365i | \(0.679978\pi\) | |||||||
\(770\) | −1.86137e6 | − | 2.19393e6i | −0.113137 | − | 0.133351i | ||||
\(771\) | 2.00431e7 | + | 7.83071e6i | 1.21431 | + | 0.474422i | ||||
\(772\) | 216309. | − | 1.31000e6i | 0.0130627 | − | 0.0791093i | ||||
\(773\) | − | 2.52966e7i | − | 1.52270i | −0.648342 | − | 0.761349i | \(-0.724537\pi\) | ||
0.648342 | − | 0.761349i | \(-0.275463\pi\) | |||||||
\(774\) | −6.46368e6 | − | 1.23474e7i | −0.387817 | − | 0.740837i | ||||
\(775\) | 3.70298e6i | 0.221461i | ||||||||
\(776\) | −8819.11 | − | 539951.i | −0.000525739 | − | 0.0321884i | ||||
\(777\) | −481541. | − | 3.16174e6i | −0.0286141 | − | 0.187877i | ||||
\(778\) | −4.60254e6 | + | 3.90488e6i | −0.272614 | + | 0.231291i | ||||
\(779\) | −8.28085e6 | − | 1.43429e7i | −0.488913 | − | 0.846822i | ||||
\(780\) | 1.62404e7 | − | 2.73341e7i | 0.955784 | − | 1.60867i | ||||
\(781\) | 3.19197e6 | − | 5.52866e6i | 0.187254 | − | 0.324334i | ||||
\(782\) | −766345. | − | 4.21195e6i | −0.0448134 | − | 0.246301i | ||||
\(783\) | −2.26248e7 | − | 1.59033e6i | −1.31881 | − | 0.0927006i | ||||
\(784\) | 1.17614e7 | − | 1.03136e7i | 0.683390 | − | 0.599267i | ||||
\(785\) | −7.52780e6 | − | 4.34617e6i | −0.436007 | − | 0.251729i | ||||
\(786\) | −4.94436e6 | − | 4.30237e6i | −0.285466 | − | 0.248400i | ||||
\(787\) | −1.86663e7 | + | 1.07770e7i | −1.07429 | + | 0.620240i | −0.929350 | − | 0.369201i | \(-0.879631\pi\) |
−0.144938 | + | 0.989441i | \(0.546298\pi\) | |||||||
\(788\) | −7.17866e6 | + | 8.74686e6i | −0.411840 | + | 0.501807i | ||||
\(789\) | −7.41782e6 | + | 1.12975e6i | −0.424213 | + | 0.0646086i | ||||
\(790\) | −1.69456e6 | + | 4.73584e6i | −0.0966029 | + | 0.269978i | ||||
\(791\) | 9.68533e6 | 0.550393 | ||||||||
\(792\) | −9.34869e6 | − | 1.94364e6i | −0.529587 | − | 0.110104i | ||||
\(793\) | −5.19842e7 | −2.93554 | ||||||||
\(794\) | 5.03486e6 | − | 1.40710e7i | 0.283424 | − | 0.792091i | ||||
\(795\) | 6.66920e6 | − | 1.70702e7i | 0.374245 | − | 0.957899i | ||||
\(796\) | −3.40274e6 | + | 4.14608e6i | −0.190347 | + | 0.231929i | ||||
\(797\) | −2.02403e7 | + | 1.16857e7i | −1.12868 | + | 0.651643i | −0.943602 | − | 0.331081i | \(-0.892587\pi\) |
−0.185077 | + | 0.982724i | \(0.559253\pi\) | |||||||
\(798\) | −1.24717e6 | + | 6.39925e6i | −0.0693297 | + | 0.355731i | ||||
\(799\) | 3.97122e6 | + | 2.29278e6i | 0.220068 | + | 0.127056i | ||||
\(800\) | −1.66181e6 | + | 2.09365e6i | −0.0918029 | + | 0.115659i | ||||
\(801\) | 8.41527e6 | + | 1.89346e6i | 0.463433 | + | 0.104274i | ||||
\(802\) | 2.82664e6 | + | 1.55356e7i | 0.155180 | + | 0.852890i | ||||
\(803\) | −4.12690e6 | + | 7.14799e6i | −0.225858 | + | 0.391197i | ||||
\(804\) | −1.04430e7 | − | 1.86216e7i | −0.569749 | − | 1.01596i | ||||
\(805\) | 2.81209e6 | + | 4.87068e6i | 0.152946 | + | 0.264911i | ||||
\(806\) | −3.68408e7 | + | 3.12565e7i | −1.99752 | + | 1.69474i | ||||
\(807\) | −1.36515e7 | + | 1.09212e7i | −0.737897 | + | 0.590316i | ||||
\(808\) | 9.51707e6 | − | 155444.i | 0.512832 | − | 0.00837617i | ||||
\(809\) | 1.04327e7i | 0.560434i | 0.959937 | + | 0.280217i | \(0.0904064\pi\) | ||||
−0.959937 | + | 0.280217i | \(0.909594\pi\) | |||||||
\(810\) | −5.19402e6 | + | 1.93181e7i | −0.278158 | + | 1.03455i | ||||
\(811\) | 2.11443e7i | 1.12886i | 0.825480 | + | 0.564431i | \(0.190904\pi\) | ||||
−0.825480 | + | 0.564431i | \(0.809096\pi\) | |||||||
\(812\) | −1.22126e6 | + | 7.39609e6i | −0.0650005 | + | 0.393652i | ||||
\(813\) | 1.06307e7 | − | 8.50450e6i | 0.564071 | − | 0.451255i | ||||
\(814\) | −4.16589e6 | − | 4.91018e6i | −0.220367 | − | 0.259739i | ||||
\(815\) | −7.18755e6 | − | 1.24492e7i | −0.379042 | − | 0.656519i | ||||
\(816\) | −3.85007e6 | − | 3.24121e6i | −0.202415 | − | 0.170405i | ||||
\(817\) | −9.57973e6 | + | 1.65926e7i | −0.502109 | + | 0.869679i | ||||
\(818\) | 5.59761e6 | − | 1.01846e6i | 0.292496 | − | 0.0532183i | ||||
\(819\) | −9.87185e6 | − | 2.22119e6i | −0.514267 | − | 0.115711i | ||||
\(820\) | −1.57190e7 | + | 5.91584e6i | −0.816375 | + | 0.307243i | ||||
\(821\) | 1.20134e7 | + | 6.93595e6i | 0.622027 | + | 0.359127i | 0.777658 | − | 0.628688i | \(-0.216408\pi\) |
−0.155631 | + | 0.987815i | \(0.549741\pi\) | |||||||
\(822\) | −2.00933e6 | − | 391607.i | −0.103722 | − | 0.0202149i | ||||
\(823\) | 5.96052e6 | − | 3.44131e6i | 0.306750 | − | 0.177102i | −0.338721 | − | 0.940887i | \(-0.609994\pi\) |
0.645471 | + | 0.763785i | \(0.276661\pi\) | |||||||
\(824\) | 1.05787e6 | − | 1.90341e6i | 0.0542768 | − | 0.0976594i | ||||
\(825\) | −568232. | + | 1.45442e6i | −0.0290664 | + | 0.0743969i | ||||
\(826\) | 379069. | + | 135637.i | 0.0193316 | + | 0.00691719i | ||||
\(827\) | 2.50557e7 | 1.27392 | 0.636962 | − | 0.770895i | \(-0.280191\pi\) | ||||
0.636962 | + | 0.770895i | \(0.280191\pi\) | |||||||
\(828\) | 1.72993e7 | + | 7.00927e6i | 0.876903 | + | 0.355301i | ||||
\(829\) | 8.56223e6 | 0.432714 | 0.216357 | − | 0.976314i | \(-0.430583\pi\) | ||||
0.216357 | + | 0.976314i | \(0.430583\pi\) | |||||||
\(830\) | 3.83835e7 | + | 1.37343e7i | 1.93397 | + | 0.692007i | ||||
\(831\) | 2.77453e7 | − | 4.22568e6i | 1.39376 | − | 0.212273i | ||||
\(832\) | −3.48568e7 | + | 1.13895e6i | −1.74574 | + | 0.0570421i | ||||
\(833\) | 4.17109e6 | − | 2.40818e6i | 0.208275 | − | 0.120248i | ||||
\(834\) | −1.92093e7 | + | 2.20757e7i | −0.956304 | + | 1.09900i | ||||
\(835\) | −1.50124e7 | − | 8.66743e6i | −0.745134 | − | 0.430204i | ||||
\(836\) | 4.62364e6 | + | 1.22855e7i | 0.228806 | + | 0.607962i | ||||
\(837\) | 1.70071e7 | − | 2.51944e7i | 0.839107 | − | 1.24305i | ||||
\(838\) | 3.17290e7 | − | 5.77295e6i | 1.56080 | − | 0.283980i | ||||
\(839\) | 1.86706e7 | − | 3.23384e7i | 0.915701 | − | 1.58604i | 0.109828 | − | 0.993951i | \(-0.464970\pi\) |
0.805872 | − | 0.592090i | \(-0.201697\pi\) | |||||||
\(840\) | 6.19677e6 | + | 2.30512e6i | 0.303017 | + | 0.112718i | ||||
\(841\) | 7.66955e6 | + | 1.32841e7i | 0.373921 | + | 0.647650i | ||||
\(842\) | −2.16533e7 | − | 2.55219e7i | −1.05255 | − | 1.24060i | ||||
\(843\) | −640833. | − | 4.20763e6i | −0.0310582 | − | 0.203924i | ||||
\(844\) | −2.21999e6 | − | 366569.i | −0.107274 | − | 0.0177133i | ||||
\(845\) | − | 4.56019e7i | − | 2.19706i | ||||||
\(846\) | −1.77126e7 | + | 9.27228e6i | −0.850856 | + | 0.445411i | ||||
\(847\) | − | 4.45743e6i | − | 0.213489i | ||||||
\(848\) | −1.97164e7 | + | 3.92099e6i | −0.941536 | + | 0.187243i | ||||
\(849\) | −1.08045e7 | − | 4.22127e6i | −0.514443 | − | 0.200990i | ||||
\(850\) | −627567. | + | 532440.i | −0.0297929 | + | 0.0252769i | ||||
\(851\) | 6.29367e6 | + | 1.09010e7i | 0.297907 | + | 0.515989i | ||||
\(852\) | −183433. | + | 1.46690e7i | −0.00865721 | + | 0.692311i | ||||
\(853\) | −8.88097e6 | + | 1.53823e7i | −0.417915 | + | 0.723850i | −0.995730 | − | 0.0923182i | \(-0.970572\pi\) |
0.577815 | + | 0.816168i | \(0.303906\pi\) | |||||||
\(854\) | −1.93506e6 | − | 1.06354e7i | −0.0907925 | − | 0.499009i | ||||
\(855\) | 2.62534e7 | − | 8.18682e6i | 1.22820 | − | 0.383001i | ||||
\(856\) | 1.39058e7 | − | 8.33423e6i | 0.648652 | − | 0.388760i | ||||
\(857\) | −2.38271e7 | − | 1.37566e7i | −1.10820 | − | 0.639822i | −0.169840 | − | 0.985472i | \(-0.554325\pi\) |
−0.938363 | + | 0.345650i | \(0.887658\pi\) | |||||||
\(858\) | −1.92663e7 | + | 6.62327e6i | −0.893472 | + | 0.307153i | ||||
\(859\) | 3.17405e7 | − | 1.83254e7i | 1.46768 | − | 0.847365i | 0.468334 | − | 0.883551i | \(-0.344854\pi\) |
0.999345 | + | 0.0361865i | \(0.0115210\pi\) | |||||||
\(860\) | 1.50192e7 | + | 1.23264e7i | 0.692467 | + | 0.568317i | ||||
\(861\) | 3.33906e6 | + | 4.17384e6i | 0.153503 | + | 0.191879i | ||||
\(862\) | 983815. | − | 2.74949e6i | 0.0450968 | − | 0.126033i | ||||
\(863\) | 5.86388e6 | 0.268015 | 0.134007 | − | 0.990980i | \(-0.457215\pi\) | ||||
0.134007 | + | 0.990980i | \(0.457215\pi\) | |||||||
\(864\) | 2.09224e7 | − | 6.61237e6i | 0.953513 | − | 0.301351i | ||||
\(865\) | 3.39402e7 | 1.54232 | ||||||||
\(866\) | −1.23903e7 | + | 3.46273e7i | −0.561417 | + | 1.56901i | ||||
\(867\) | 1.28586e7 | + | 1.60733e7i | 0.580960 | + | 0.726201i | ||||
\(868\) | −7.76608e6 | − | 6.37373e6i | −0.349867 | − | 0.287140i | ||||
\(869\) | 2.79119e6 | − | 1.61149e6i | 0.125383 | − | 0.0723901i | ||||
\(870\) | 2.99020e7 | − | 1.02795e7i | 1.33938 | − | 0.460443i | ||||
\(871\) | −3.94497e7 | − | 2.27763e7i | −1.76197 | − | 1.01727i | ||||
\(872\) | −4.63882e6 | + | 2.78021e6i | −0.206593 | + | 0.123819i | ||||
\(873\) | 532925. | + | 491434.i | 0.0236663 | + | 0.0218238i | ||||
\(874\) | −4.59327e6 | − | 2.52453e7i | −0.203396 | − | 1.11790i | ||||
\(875\) | −3.12040e6 | + | 5.40470e6i | −0.137781 | + | 0.238644i | ||||
\(876\) | 237160. | − | 1.89655e7i | 0.0104419 | − | 0.835034i | ||||
\(877\) | 1.52615e7 | + | 2.64338e7i | 0.670038 | + | 1.16054i | 0.977893 | + | 0.209106i | \(0.0670555\pi\) |
−0.307855 | + | 0.951433i | \(0.599611\pi\) | |||||||
\(878\) | −3.79789e6 | + | 3.22220e6i | −0.166267 | + | 0.141064i | ||||
\(879\) | −5.54281e6 | − | 2.16554e6i | −0.241968 | − | 0.0945352i | ||||
\(880\) | 1.30562e7 | − | 2.59649e6i | 0.568344 | − | 0.113026i | ||||
\(881\) | 940107.i | 0.0408073i | 0.999792 | + | 0.0204036i | \(0.00649513\pi\) | ||||
−0.999792 | + | 0.0204036i | \(0.993505\pi\) | |||||||
\(882\) | −867852. | + | 2.09811e7i | −0.0375642 | + | 0.908147i | ||||
\(883\) | − | 1.57094e6i | − | 0.0678045i | −0.999425 | − | 0.0339022i | \(-0.989207\pi\) | ||
0.999425 | − | 0.0339022i | \(-0.0107935\pi\) | |||||||
\(884\) | −1.05945e7 | − | 1.74937e6i | −0.455982 | − | 0.0752926i | ||||
\(885\) | −255694. | − | 1.67885e6i | −0.0109739 | − | 0.0720535i | ||||
\(886\) | 2.72699e6 | + | 3.21420e6i | 0.116708 | + | 0.137559i | ||||
\(887\) | −1.53981e7 | − | 2.66703e7i | −0.657140 | − | 1.13820i | −0.981353 | − | 0.192216i | \(-0.938433\pi\) |
0.324213 | − | 0.945984i | \(-0.394901\pi\) | |||||||
\(888\) | 1.38689e7 | + | 5.15903e6i | 0.590212 | + | 0.219551i | ||||
\(889\) | 5.20279e6 | − | 9.01150e6i | 0.220791 | − | 0.382422i | ||||
\(890\) | −1.18310e7 | + | 2.15260e6i | −0.500664 | + | 0.0910936i | ||||
\(891\) | 1.05460e7 | − | 7.28580e6i | 0.445035 | − | 0.307456i | ||||
\(892\) | 5.72158e6 | + | 1.52028e7i | 0.240771 | + | 0.639753i | ||||
\(893\) | 2.38024e7 | + | 1.37423e7i | 0.998832 | + | 0.576676i | ||||
\(894\) | −1.92366e7 | + | 2.21071e7i | −0.804979 | + | 0.925098i | ||||
\(895\) | 2.28649e7 | − | 1.32011e7i | 0.954140 | − | 0.550873i | ||||
\(896\) | −1.53052e6 | − | 7.08890e6i | −0.0636899 | − | 0.294991i | ||||
\(897\) | 3.93706e7 | − | 5.99623e6i | 1.63377 | − | 0.248827i | ||||
\(898\) | 2.02721e7 | + | 7.25372e6i | 0.838897 | + | 0.300172i | ||||
\(899\) | −4.80477e7 | −1.98277 | ||||||||
\(900\) | −495870. | − | 3.55381e6i | −0.0204062 | − | 0.146247i | ||||
\(901\) | −6.18943e6 | −0.254003 | ||||||||
\(902\) | 1.01328e7 | + | 3.62569e6i | 0.414680 | + | 0.148379i | ||||
\(903\) | 2.25022e6 | − | 5.75955e6i | 0.0918344 | − | 0.235055i | ||||
\(904\) | −2.17691e7 | + | 3.91688e7i | −0.885971 | + | 1.59412i | ||||
\(905\) | −5.38614e6 | + | 3.10969e6i | −0.218603 | + | 0.126211i | ||||
\(906\) | 3.00344e7 | + | 5.85352e6i | 1.21562 | + | 0.236917i | ||||
\(907\) | 1.63670e7 | + | 9.44950e6i | 0.660619 | + | 0.381409i | 0.792513 | − | 0.609855i | \(-0.208772\pi\) |
−0.131894 | + | 0.991264i | \(0.542106\pi\) | |||||||
\(908\) | 3.28189e6 | − | 1.23514e6i | 0.132102 | − | 0.0497166i | ||||
\(909\) | −8.66192e6 | + | 9.39324e6i | −0.347700 | + | 0.377056i | ||||
\(910\) | 1.38788e7 | − | 2.52519e6i | 0.555582 | − | 0.101086i | ||||
\(911\) | −2.19197e7 | + | 3.79660e7i | −0.875060 | + | 1.51565i | −0.0183608 | + | 0.999831i | \(0.505845\pi\) |
−0.856699 | + | 0.515817i | \(0.827489\pi\) | |||||||
\(912\) | −2.30763e7 | − | 1.94269e7i | −0.918710 | − | 0.773423i | ||||
\(913\) | −1.30610e7 | − | 2.26223e7i | −0.518560 | − | 0.898172i | ||||
\(914\) | −1.13239e7 | − | 1.33470e7i | −0.448362 | − | 0.528468i | ||||
\(915\) | −3.56055e7 | + | 2.84843e7i | −1.40593 | + | 1.12474i | ||||
\(916\) | 1.87923e6 | − | 1.13809e7i | 0.0740015 | − | 0.448163i | ||||
\(917\) | − | 2.90795e6i | − | 0.114199i | ||||||
\(918\) | 6.71525e6 | − | 740318.i | 0.263000 | − | 0.0289942i | ||||
\(919\) | 3.62995e7i | 1.41779i | 0.705313 | + | 0.708896i | \(0.250806\pi\) | ||||
−0.705313 | + | 0.708896i | \(0.749194\pi\) | |||||||
\(920\) | −2.60183e7 | + | 424961.i | −1.01347 | + | 0.0165531i | ||||
\(921\) | −3.91939e7 | + | 3.13550e7i | −1.52254 | + | 1.21803i | ||||
\(922\) | 3.07135e7 | − | 2.60579e7i | 1.18988 | − | 1.00951i | ||||
\(923\) | 1.56502e7 | + | 2.71069e7i | 0.604666 | + | 1.04731i | ||||
\(924\) | −2.07222e6 | − | 3.69513e6i | −0.0798464 | − | 0.142380i | ||||
\(925\) | 1.20990e6 | − | 2.09561e6i | 0.0464939 | − | 0.0805298i | ||||
\(926\) | −4.81831e6 | − | 2.64821e7i | −0.184658 | − | 1.01491i | ||||
\(927\) | 870247. | + | 2.79070e6i | 0.0332616 | + | 0.106663i | ||||
\(928\) | −2.71659e7 | − | 2.15627e7i | −1.03551 | − | 0.821926i | ||||
\(929\) | 3.32057e7 | + | 1.91713e7i | 1.26233 | + | 0.728807i | 0.973525 | − | 0.228581i | \(-0.0734086\pi\) |
0.288805 | + | 0.957388i | \(0.406742\pi\) | |||||||
\(930\) | −8.10662e6 | + | 4.15951e7i | −0.307349 | + | 1.57701i | ||||
\(931\) | 2.50004e7 | − | 1.44340e7i | 0.945306 | − | 0.545773i | ||||
\(932\) | 1.90570e7 | − | 2.32200e7i | 0.718644 | − | 0.875634i | ||||
\(933\) | −8.80220e6 | + | 2.25297e7i | −0.331045 | + | 0.847327i | ||||
\(934\) | −1.40638e7 | + | 3.93045e7i | −0.527517 | + | 1.47426i | ||||
\(935\) | 4.09866e6 | 0.153325 | ||||||||
\(936\) | 3.11711e7 | − | 3.49307e7i | 1.16296 | − | 1.30322i | ||||
\(937\) | −102797. | −0.00382500 | −0.00191250 | − | 0.999998i | \(-0.500609\pi\) | ||||
−0.00191250 | + | 0.999998i | \(0.500609\pi\) | |||||||
\(938\) | 3.19129e6 | − | 8.91878e6i | 0.118429 | − | 0.330977i | ||||
\(939\) | 8.13672e6 | − | 1.23924e6i | 0.301152 | − | 0.0458662i | ||||
\(940\) | 1.76825e7 | − | 2.15453e7i | 0.652716 | − | 0.795303i | ||||
\(941\) | −1.82125e7 | + | 1.05150e7i | −0.670496 | + | 0.387111i | −0.796265 | − | 0.604948i | \(-0.793194\pi\) |
0.125768 | + | 0.992060i | \(0.459860\pi\) | |||||||
\(942\) | −9.65552e6 | − | 8.40181e6i | −0.354526 | − | 0.308493i | ||||
\(943\) | −1.82187e7 | − | 1.05185e7i | −0.667171 | − | 0.385191i | ||||
\(944\) | −1.40055e6 | + | 1.22815e6i | −0.0511526 | + | 0.0448559i | ||||
\(945\) | −7.97859e6 | + | 3.88784e6i | −0.290634 | + | 0.141621i | ||||
\(946\) | −2.22863e6 | − | 1.22489e7i | −0.0809673 | − | 0.445008i | ||||
\(947\) | 7.49577e6 | − | 1.29831e7i | 0.271607 | − | 0.470438i | −0.697666 | − | 0.716423i | \(-0.745778\pi\) |
0.969274 | + | 0.245985i | \(0.0791115\pi\) | |||||||
\(948\) | −3.78308e6 | + | 6.36727e6i | −0.136718 | + | 0.230108i | ||||
\(949\) | −2.02341e7 | − | 3.50465e7i | −0.729321 | − | 1.26322i | ||||
\(950\) | −3.76147e6 | + | 3.19130e6i | −0.135222 | + | 0.114725i | ||||
\(951\) | 2.07258e6 | + | 1.36083e7i | 0.0743123 | + | 0.487926i | ||||
\(952\) | −36465.9 | − | 2.23262e6i | −0.00130405 | − | 0.0798405i | ||||
\(953\) | 716587.i | 0.0255586i | 0.999918 | + | 0.0127793i | \(0.00406788\pi\) | ||||
−0.999918 | + | 0.0127793i | \(0.995932\pi\) | |||||||
\(954\) | 1.44471e7 | − | 2.27925e7i | 0.513936 | − | 0.810815i | ||||
\(955\) | − | 2.58139e7i | − | 0.915893i | ||||||
\(956\) | −1.69972e6 | + | 1.02937e7i | −0.0601495 | + | 0.364273i | ||||
\(957\) | −1.88717e7 | − | 7.37304e6i | −0.666086 | − | 0.260236i | ||||
\(958\) | 4.05342e6 | + | 4.77762e6i | 0.142695 | + | 0.168189i | ||||
\(959\) | −454137. | − | 786589.i | −0.0159456 | − | 0.0276186i | ||||
\(960\) | −2.32503e7 | + | 1.98796e7i | −0.814237 | + | 0.696192i | ||||
\(961\) | 1.78830e7 | − | 3.09742e7i | 0.624642 | − | 1.08191i | ||||
\(962\) | 3.10618e7 | − | 5.65156e6i | 1.08215 | − | 0.196893i | ||||
\(963\) | −4.77730e6 | + | 2.12322e7i | −0.166003 | + | 0.737784i | ||||
\(964\) | −2.27035e6 | + | 854445.i | −0.0786864 | + | 0.0296136i | ||||
\(965\) | −2.15192e6 | − | 1.24241e6i | −0.0743887 | − | 0.0429483i | ||||
\(966\) | 2.69229e6 | + | 7.83157e6i | 0.0928281 | + | 0.270026i | ||||
\(967\) | −7.27307e6 | + | 4.19911e6i | −0.250122 | + | 0.144408i | −0.619820 | − | 0.784744i | \(-0.712794\pi\) |
0.369698 | + | 0.929152i | \(0.379461\pi\) | |||||||
\(968\) | 1.80265e7 | + | 1.00187e7i | 0.618333 | + | 0.343655i | ||||
\(969\) | −5.80190e6 | − | 7.25239e6i | −0.198500 | − | 0.248126i | ||||
\(970\) | −951554. | − | 340482.i | −0.0324716 | − | 0.0116189i | ||||
\(971\) | −1.84209e7 | −0.626992 | −0.313496 | − | 0.949590i | \(-0.601500\pi\) | ||||
−0.313496 | + | 0.949590i | \(0.601500\pi\) | |||||||
\(972\) | −1.29482e7 | + | 2.64569e7i | −0.439586 | + | 0.898200i | ||||
\(973\) | −1.29835e7 | −0.439651 | ||||||||
\(974\) | 4.06849e6 | + | 1.45578e6i | 0.137416 | + | 0.0491696i | ||||
\(975\) | −4.78260e6 | − | 5.97827e6i | −0.161121 | − | 0.201402i | ||||
\(976\) | 4.73603e7 | + | 1.60788e7i | 1.59144 | + | 0.540293i | ||||
\(977\) | 1.70913e6 | − | 986767.i | 0.0572848 | − | 0.0330734i | −0.471084 | − | 0.882088i | \(-0.656137\pi\) |
0.528369 | + | 0.849015i | \(0.322804\pi\) | |||||||
\(978\) | −6.88136e6 | − | 2.00171e7i | −0.230052 | − | 0.669196i | ||||
\(979\) | 6.67306e6 | + | 3.85269e6i | 0.222519 | + | 0.128472i | ||||
\(980\) | −1.03116e7 | − | 2.73991e7i | −0.342975 | − | 0.911319i | ||||
\(981\) | 1.59365e6 | − | 7.08283e6i | 0.0528715 | − | 0.234982i | ||||
\(982\) | −3.86552e7 | + | 7.03314e6i | −1.27917 | + | 0.232740i | ||||
\(983\) | 1.64275e7 | − | 2.84533e7i | 0.542236 | − | 0.939181i | −0.456539 | − | 0.889703i | \(-0.650911\pi\) |
0.998775 | − | 0.0494775i | \(-0.0157556\pi\) | |||||||
\(984\) | −2.43846e7 | + | 4.12237e6i | −0.802838 | + | 0.135725i | ||||
\(985\) | 1.05883e7 | + | 1.83395e7i | 0.347725 | + | 0.602278i | ||||
\(986\) | −6.90863e6 | − | 8.14294e6i | −0.226308 | − | 0.266741i | ||||
\(987\) | −8.26220e6 | − | 3.22799e6i | −0.269962 | − | 0.105472i | ||||
\(988\) | −6.35003e7 | − | 1.04853e7i | −2.06959 | − | 0.341734i | ||||
\(989\) | 2.43368e7i | 0.791176i | ||||||||
\(990\) | −9.56690e6 | + | 1.50933e7i | −0.310230 | + | 0.489436i | ||||
\(991\) | 1.19722e7i | 0.387250i | 0.981076 | + | 0.193625i | \(0.0620244\pi\) | ||||
−0.981076 | + | 0.193625i | \(0.937976\pi\) | |||||||
\(992\) | 4.32316e7 | − | 1.70813e7i | 1.39483 | − | 0.551115i | ||||
\(993\) | 347689. | + | 2.28288e6i | 0.0111897 | + | 0.0734701i | ||||
\(994\) | −4.96321e6 | + | 4.21088e6i | −0.159330 | + | 0.135178i | ||||
\(995\) | 5.01894e6 | + | 8.69306e6i | 0.160714 | + | 0.278365i | ||||
\(996\) | 5.16061e7 | + | 3.06615e7i | 1.64836 | + | 0.979365i | ||||
\(997\) | 1.60260e7 | − | 2.77579e7i | 0.510608 | − | 0.884400i | −0.489316 | − | 0.872107i | \(-0.662754\pi\) |
0.999924 | − | 0.0122932i | \(-0.00391315\pi\) | |||||||
\(998\) | −6.25243e6 | − | 3.43643e7i | −0.198711 | − | 1.09215i | ||||
\(999\) | −1.78567e7 | + | 8.70128e6i | −0.566093 | + | 0.275848i |
(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 | 36.6.h.a.11.11 | ✓ | 56 | |
3.2 | odd | 2 | 108.6.h.a.35.18 | 56 | |||
4.3 | odd | 2 | inner | 36.6.h.a.11.20 | yes | 56 | |
9.4 | even | 3 | 108.6.h.a.71.9 | 56 | |||
9.5 | odd | 6 | inner | 36.6.h.a.23.20 | yes | 56 | |
12.11 | even | 2 | 108.6.h.a.35.9 | 56 | |||
36.23 | even | 6 | inner | 36.6.h.a.23.11 | yes | 56 | |
36.31 | odd | 6 | 108.6.h.a.71.18 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.6.h.a.11.11 | ✓ | 56 | 1.1 | even | 1 | trivial | |
36.6.h.a.11.20 | yes | 56 | 4.3 | odd | 2 | inner | |
36.6.h.a.23.11 | yes | 56 | 36.23 | even | 6 | inner | |
36.6.h.a.23.20 | yes | 56 | 9.5 | odd | 6 | inner | |
108.6.h.a.35.9 | 56 | 12.11 | even | 2 | |||
108.6.h.a.35.18 | 56 | 3.2 | odd | 2 | |||
108.6.h.a.71.9 | 56 | 9.4 | even | 3 | |||
108.6.h.a.71.18 | 56 | 36.31 | odd | 6 |