Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [40,6,Mod(3,40)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(40, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 2, 3]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("40.3");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 40 = 2^{3} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 40.k (of order \(4\), 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: | \(6.41535279252\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Character | \(\chi\) | \(=\) | 40.3 |
Dual form | 40.6.k.a.27.4 |
$q$-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 \(\left(\mathbb{Z}/40\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.95505 | + | 2.72901i | −0.875937 | + | 0.482425i | ||||
\(3\) | −17.2715 | − | 17.2715i | −1.10796 | − | 1.10796i | −0.993418 | − | 0.114546i | \(-0.963459\pi\) |
−0.114546 | − | 0.993418i | \(-0.536541\pi\) | |||||||
\(4\) | 17.1050 | − | 27.0447i | 0.534532 | − | 0.845148i | ||||
\(5\) | 55.8976 | − | 0.673734i | 0.999927 | − | 0.0120521i | ||||
\(6\) | 132.715 | + | 38.4469i | 1.50502 | + | 0.435997i | ||||
\(7\) | −135.845 | − | 135.845i | −1.04785 | − | 1.04785i | −0.998796 | − | 0.0490492i | \(-0.984381\pi\) |
−0.0490492 | − | 0.998796i | \(-0.515619\pi\) | |||||||
\(8\) | −10.9508 | + | 180.688i | −0.0604953 | + | 0.998168i | ||||
\(9\) | 353.606i | 1.45517i | ||||||||
\(10\) | −275.137 | + | 155.884i | −0.870059 | + | 0.492947i | ||||
\(11\) | −109.728 | −0.273424 | −0.136712 | − | 0.990611i | \(-0.543653\pi\) | ||||
−0.136712 | + | 0.990611i | \(0.543653\pi\) | |||||||
\(12\) | −762.531 | + | 171.674i | −1.52864 | + | 0.344152i | ||||
\(13\) | −469.186 | + | 469.186i | −0.769992 | + | 0.769992i | −0.978105 | − | 0.208113i | \(-0.933268\pi\) |
0.208113 | + | 0.978105i | \(0.433268\pi\) | |||||||
\(14\) | 1043.84 | + | 302.395i | 1.42335 | + | 0.412340i | ||||
\(15\) | −977.070 | − | 953.797i | −1.12124 | − | 1.09453i | ||||
\(16\) | −438.837 | − | 925.202i | −0.428552 | − | 0.903517i | ||||
\(17\) | 283.916 | − | 283.916i | 0.238269 | − | 0.238269i | −0.577864 | − | 0.816133i | \(-0.696114\pi\) |
0.816133 | + | 0.577864i | \(0.196114\pi\) | |||||||
\(18\) | −964.995 | − | 1752.14i | −0.702011 | − | 1.27464i | ||||
\(19\) | 2630.80i | 1.67187i | 0.548827 | + | 0.835936i | \(0.315075\pi\) | ||||
−0.548827 | + | 0.835936i | \(0.684925\pi\) | |||||||
\(20\) | 937.909 | − | 1523.26i | 0.524307 | − | 0.851529i | ||||
\(21\) | 4692.47i | 2.32195i | ||||||||
\(22\) | 543.708 | − | 299.449i | 0.239502 | − | 0.131907i | ||||
\(23\) | −1169.93 | + | 1169.93i | −0.461148 | + | 0.461148i | −0.899032 | − | 0.437884i | \(-0.855728\pi\) |
0.437884 | + | 0.899032i | \(0.355728\pi\) | |||||||
\(24\) | 3309.88 | − | 2931.60i | 1.17296 | − | 1.03891i | ||||
\(25\) | 3124.09 | − | 75.3203i | 0.999709 | − | 0.0241025i | ||||
\(26\) | 1044.43 | − | 3605.25i | 0.303001 | − | 1.04593i | ||||
\(27\) | 1910.33 | − | 1910.33i | 0.504312 | − | 0.504312i | ||||
\(28\) | −5997.51 | + | 1350.26i | −1.44569 | + | 0.325478i | ||||
\(29\) | −1610.97 | −0.355707 | −0.177854 | − | 0.984057i | \(-0.556915\pi\) | ||||
−0.177854 | + | 0.984057i | \(0.556915\pi\) | |||||||
\(30\) | 7444.35 | + | 2059.68i | 1.51016 | + | 0.417827i | ||||
\(31\) | − | 3805.32i | − | 0.711193i | −0.934640 | − | 0.355596i | \(-0.884278\pi\) | ||
0.934640 | − | 0.355596i | \(-0.115722\pi\) | |||||||
\(32\) | 4699.34 | + | 3386.83i | 0.811264 | + | 0.584680i | ||||
\(33\) | 1895.17 | + | 1895.17i | 0.302944 | + | 0.302944i | ||||
\(34\) | −632.008 | + | 2181.63i | −0.0937617 | + | 0.323656i | ||||
\(35\) | −7684.92 | − | 7501.87i | −1.06040 | − | 1.03514i | ||||
\(36\) | 9563.19 | + | 6048.44i | 1.22983 | + | 0.777835i | ||||
\(37\) | −7125.02 | − | 7125.02i | −0.855622 | − | 0.855622i | 0.135197 | − | 0.990819i | \(-0.456833\pi\) |
−0.990819 | + | 0.135197i | \(0.956833\pi\) | |||||||
\(38\) | −7179.47 | − | 13035.7i | −0.806554 | − | 1.46446i | ||||
\(39\) | 16207.0 | 1.70625 | ||||||||
\(40\) | −490.390 | + | 10107.4i | −0.0484609 | + | 0.998825i | ||||
\(41\) | −12159.6 | −1.12969 | −0.564843 | − | 0.825198i | \(-0.691063\pi\) | ||||
−0.564843 | + | 0.825198i | \(0.691063\pi\) | |||||||
\(42\) | −12805.8 | − | 23251.4i | −1.12017 | − | 2.03388i | ||||
\(43\) | 10049.2 | + | 10049.2i | 0.828821 | + | 0.828821i | 0.987354 | − | 0.158533i | \(-0.0506764\pi\) |
−0.158533 | + | 0.987354i | \(0.550676\pi\) | |||||||
\(44\) | −1876.90 | + | 2967.57i | −0.146154 | + | 0.231084i | ||||
\(45\) | 238.237 | + | 19765.8i | 0.0175379 | + | 1.45506i | ||||
\(46\) | 2604.31 | − | 8989.80i | 0.181467 | − | 0.626406i | ||||
\(47\) | −11740.5 | − | 11740.5i | −0.775248 | − | 0.775248i | 0.203771 | − | 0.979019i | \(-0.434680\pi\) |
−0.979019 | + | 0.203771i | \(0.934680\pi\) | |||||||
\(48\) | −8400.23 | + | 23558.9i | −0.526245 | + | 1.47588i | ||||
\(49\) | 20100.5i | 1.19596i | ||||||||
\(50\) | −15274.5 | + | 8898.89i | −0.864055 | + | 0.503397i | ||||
\(51\) | −9807.29 | −0.527987 | ||||||||
\(52\) | 4663.58 | + | 20714.4i | 0.239172 | + | 1.06234i | ||||
\(53\) | −1312.47 | + | 1312.47i | −0.0641798 | + | 0.0641798i | −0.738468 | − | 0.674288i | \(-0.764451\pi\) |
0.674288 | + | 0.738468i | \(0.264451\pi\) | |||||||
\(54\) | −4252.47 | + | 14679.1i | −0.198453 | + | 0.685039i | ||||
\(55\) | −6133.55 | + | 73.9276i | −0.273404 | + | 0.00329534i | ||||
\(56\) | 26033.1 | − | 23057.9i | 1.10932 | − | 0.982537i | ||||
\(57\) | 45437.7 | − | 45437.7i | 1.85238 | − | 1.85238i | ||||
\(58\) | 7982.44 | − | 4396.36i | 0.311577 | − | 0.171602i | ||||
\(59\) | − | 20595.0i | − | 0.770249i | −0.922865 | − | 0.385125i | \(-0.874158\pi\) | ||
0.922865 | − | 0.385125i | \(-0.125842\pi\) | |||||||
\(60\) | −42508.0 | + | 10109.9i | −1.52438 | + | 0.362550i | ||||
\(61\) | 28836.9i | 0.992256i | 0.868249 | + | 0.496128i | \(0.165245\pi\) | ||||
−0.868249 | + | 0.496128i | \(0.834755\pi\) | |||||||
\(62\) | 10384.8 | + | 18855.6i | 0.343097 | + | 0.622960i | ||||
\(63\) | 48035.5 | − | 48035.5i | 1.52479 | − | 1.52479i | ||||
\(64\) | −32528.2 | − | 3957.36i | −0.992681 | − | 0.120769i | ||||
\(65\) | −25910.3 | + | 26542.5i | −0.760656 | + | 0.779216i | ||||
\(66\) | −14562.6 | − | 4218.71i | −0.411508 | − | 0.119212i | ||||
\(67\) | −27245.0 | + | 27245.0i | −0.741481 | + | 0.741481i | −0.972863 | − | 0.231382i | \(-0.925675\pi\) |
0.231382 | + | 0.972863i | \(0.425675\pi\) | |||||||
\(68\) | −2822.05 | − | 12534.8i | −0.0740103 | − | 0.328735i | ||||
\(69\) | 40412.8 | 1.02187 | ||||||||
\(70\) | 58551.8 | + | 16199.9i | 1.42822 | + | 0.395155i | ||||
\(71\) | − | 57260.4i | − | 1.34806i | −0.738705 | − | 0.674029i | \(-0.764562\pi\) | ||
0.738705 | − | 0.674029i | \(-0.235438\pi\) | |||||||
\(72\) | −63892.3 | − | 3872.28i | −1.45250 | − | 0.0880310i | ||||
\(73\) | −25178.5 | − | 25178.5i | −0.552996 | − | 0.552996i | 0.374308 | − | 0.927304i | \(-0.377880\pi\) |
−0.927304 | + | 0.374308i | \(0.877880\pi\) | |||||||
\(74\) | 54749.1 | + | 15860.6i | 1.16224 | + | 0.336697i | ||||
\(75\) | −55258.5 | − | 52656.7i | −1.13435 | − | 1.08094i | ||||
\(76\) | 71149.2 | + | 44999.8i | 1.41298 | + | 0.893669i | ||||
\(77\) | 14906.0 | + | 14906.0i | 0.286506 | + | 0.286506i | ||||
\(78\) | −80306.7 | + | 44229.2i | −1.49457 | + | 0.823137i | ||||
\(79\) | −56597.7 | −1.02031 | −0.510154 | − | 0.860083i | \(-0.670412\pi\) | ||||
−0.510154 | + | 0.860083i | \(0.670412\pi\) | |||||||
\(80\) | −25153.3 | − | 51420.9i | −0.439410 | − | 0.898287i | ||||
\(81\) | 19937.9 | 0.337650 | ||||||||
\(82\) | 60251.2 | − | 33183.5i | 0.989534 | − | 0.544989i | ||||
\(83\) | 41952.5 | + | 41952.5i | 0.668440 | + | 0.668440i | 0.957355 | − | 0.288914i | \(-0.0932943\pi\) |
−0.288914 | + | 0.957355i | \(0.593294\pi\) | |||||||
\(84\) | 126907. | + | 80264.7i | 1.96239 | + | 1.24116i | ||||
\(85\) | 15679.0 | − | 16061.5i | 0.235380 | − | 0.241123i | ||||
\(86\) | −77218.7 | − | 22369.9i | −1.12584 | − | 0.326151i | ||||
\(87\) | 27823.8 | + | 27823.8i | 0.394111 | + | 0.394111i | ||||
\(88\) | 1201.61 | − | 19826.5i | 0.0165409 | − | 0.272923i | ||||
\(89\) | − | 28977.6i | − | 0.387782i | −0.981023 | − | 0.193891i | \(-0.937889\pi\) | ||
0.981023 | − | 0.193891i | \(-0.0621108\pi\) | |||||||
\(90\) | −55121.4 | − | 97290.1i | −0.717322 | − | 1.26608i | ||||
\(91\) | 127473. | 1.61367 | ||||||||
\(92\) | 11628.8 | + | 51652.1i | 0.143240 | + | 0.636236i | ||||
\(93\) | −65723.5 | + | 65723.5i | −0.787976 | + | 0.787976i | ||||
\(94\) | 90214.4 | + | 26134.7i | 1.05307 | + | 0.305069i | ||||
\(95\) | 1772.46 | + | 147055.i | 0.0201496 | + | 1.67175i | ||||
\(96\) | −22669.0 | − | 139660.i | −0.251046 | − | 1.54666i | ||||
\(97\) | 17161.5 | − | 17161.5i | 0.185193 | − | 0.185193i | −0.608421 | − | 0.793614i | \(-0.708197\pi\) |
0.793614 | + | 0.608421i | \(0.208197\pi\) | |||||||
\(98\) | −54854.5 | − | 99599.0i | −0.576962 | − | 1.04759i | ||||
\(99\) | − | 38800.6i | − | 0.397878i | ||||||
\(100\) | 51400.6 | − | 85778.6i | 0.514006 | − | 0.857786i | ||||
\(101\) | − | 190789.i | − | 1.86101i | −0.366275 | − | 0.930507i | \(-0.619367\pi\) | ||
0.366275 | − | 0.930507i | \(-0.380633\pi\) | |||||||
\(102\) | 48595.6 | − | 26764.2i | 0.462484 | − | 0.254714i | ||||
\(103\) | −67508.1 | + | 67508.1i | −0.626993 | + | 0.626993i | −0.947310 | − | 0.320317i | \(-0.896210\pi\) |
0.320317 | + | 0.947310i | \(0.396210\pi\) | |||||||
\(104\) | −79638.1 | − | 89914.1i | −0.722001 | − | 0.815163i | ||||
\(105\) | 3161.48 | + | 262298.i | 0.0279845 | + | 2.32178i | ||||
\(106\) | 2921.60 | − | 10085.1i | 0.0252555 | − | 0.0871795i | ||||
\(107\) | −21569.7 | + | 21569.7i | −0.182132 | + | 0.182132i | −0.792284 | − | 0.610152i | \(-0.791108\pi\) |
0.610152 | + | 0.792284i | \(0.291108\pi\) | |||||||
\(108\) | −18988.2 | − | 84340.7i | −0.156648 | − | 0.695789i | ||||
\(109\) | −159516. | −1.28599 | −0.642995 | − | 0.765871i | \(-0.722308\pi\) | ||||
−0.642995 | + | 0.765871i | \(0.722308\pi\) | |||||||
\(110\) | 30190.3 | − | 17104.8i | 0.237895 | − | 0.134783i | ||||
\(111\) | 246119.i | 1.89600i | ||||||||
\(112\) | −66070.1 | + | 185297.i | −0.497691 | + | 1.39580i | ||||
\(113\) | −5170.07 | − | 5170.07i | −0.0380891 | − | 0.0380891i | 0.687806 | − | 0.725895i | \(-0.258574\pi\) |
−0.725895 | + | 0.687806i | \(0.758574\pi\) | |||||||
\(114\) | −101146. | + | 349146.i | −0.728932 | + | 2.51620i | ||||
\(115\) | −64608.1 | + | 66184.5i | −0.455556 | + | 0.466672i | ||||
\(116\) | −27555.7 | + | 43568.3i | −0.190137 | + | 0.300626i | ||||
\(117\) | −165907. | − | 165907.i | −1.12047 | − | 1.12047i | ||||
\(118\) | 56203.9 | + | 102049.i | 0.371588 | + | 0.674690i | ||||
\(119\) | −77136.9 | −0.499338 | ||||||||
\(120\) | 183039. | − | 166100.i | 1.16036 | − | 1.05297i | ||||
\(121\) | −149011. | −0.925239 | ||||||||
\(122\) | −78696.1 | − | 142888.i | −0.478689 | − | 0.869154i | ||||
\(123\) | 210013. | + | 210013.i | 1.25165 | + | 1.25165i | ||||
\(124\) | −102914. | − | 65090.1i | −0.601063 | − | 0.380155i | ||||
\(125\) | 174579. | − | 6315.04i | 0.999346 | − | 0.0361494i | ||||
\(126\) | −106929. | + | 369108.i | −0.600024 | + | 2.07122i | ||||
\(127\) | −72936.6 | − | 72936.6i | −0.401270 | − | 0.401270i | 0.477411 | − | 0.878680i | \(-0.341575\pi\) |
−0.878680 | + | 0.477411i | \(0.841575\pi\) | |||||||
\(128\) | 171978. | − | 69160.7i | 0.927788 | − | 0.373108i | ||||
\(129\) | − | 347129.i | − | 1.83661i | ||||||
\(130\) | 55952.0 | − | 202229.i | 0.290373 | − | 1.04950i | ||||
\(131\) | −273977. | −1.39488 | −0.697440 | − | 0.716644i | \(-0.745677\pi\) | ||||
−0.697440 | + | 0.716644i | \(0.745677\pi\) | |||||||
\(132\) | 83671.1 | − | 18837.4i | 0.417966 | − | 0.0940994i | ||||
\(133\) | 357379. | − | 357379.i | 1.75186 | − | 1.75186i | ||||
\(134\) | 60648.5 | − | 209352.i | 0.291782 | − | 1.00720i | ||||
\(135\) | 105496. | − | 108070.i | 0.498197 | − | 0.510354i | ||||
\(136\) | 48191.1 | + | 54409.3i | 0.223418 | + | 0.252247i | ||||
\(137\) | 24762.9 | − | 24762.9i | 0.112720 | − | 0.112720i | −0.648497 | − | 0.761217i | \(-0.724602\pi\) |
0.761217 | + | 0.648497i | \(0.224602\pi\) | |||||||
\(138\) | −200247. | + | 110287.i | −0.895094 | + | 0.492976i | ||||
\(139\) | − | 99830.6i | − | 0.438255i | −0.975696 | − | 0.219127i | \(-0.929679\pi\) | ||
0.975696 | − | 0.219127i | \(-0.0703211\pi\) | |||||||
\(140\) | −334337. | + | 79517.0i | −1.44166 | + | 0.342878i | ||||
\(141\) | 405550.i | 1.71789i | ||||||||
\(142\) | 156264. | + | 283728.i | 0.650337 | + | 1.18081i | ||||
\(143\) | 51482.9 | − | 51482.9i | 0.210534 | − | 0.210534i | ||||
\(144\) | 327157. | − | 155175.i | 1.31477 | − | 0.623615i | ||||
\(145\) | −90049.5 | + | 1085.37i | −0.355682 | + | 0.00428703i | ||||
\(146\) | 193473. | + | 56048.3i | 0.751169 | + | 0.217611i | ||||
\(147\) | 347165. | − | 347165.i | 1.32508 | − | 1.32508i | ||||
\(148\) | −314568. | + | 70820.8i | −1.18048 | + | 0.265770i | ||||
\(149\) | −6833.17 | −0.0252149 | −0.0126074 | − | 0.999921i | \(-0.504013\pi\) | ||||
−0.0126074 | + | 0.999921i | \(0.504013\pi\) | |||||||
\(150\) | 417509. | + | 110116.i | 1.51509 | + | 0.399596i | ||||
\(151\) | 30711.7i | 0.109613i | 0.998497 | + | 0.0548064i | \(0.0174542\pi\) | ||||
−0.998497 | + | 0.0548064i | \(0.982546\pi\) | |||||||
\(152\) | −475353. | − | 28809.4i | −1.66881 | − | 0.101140i | ||||
\(153\) | 100395. | + | 100395.i | 0.346722 | + | 0.346722i | ||||
\(154\) | −114538. | − | 33181.3i | −0.389179 | − | 0.112744i | ||||
\(155\) | −2563.78 | − | 212709.i | −0.00857139 | − | 0.711141i | ||||
\(156\) | 277222. | − | 438315.i | 0.912044 | − | 1.44203i | ||||
\(157\) | 203987. | + | 203987.i | 0.660470 | + | 0.660470i | 0.955491 | − | 0.295021i | \(-0.0953265\pi\) |
−0.295021 | + | 0.955491i | \(0.595327\pi\) | |||||||
\(158\) | 280444. | − | 154456.i | 0.893726 | − | 0.492222i | ||||
\(159\) | 45336.4 | 0.142218 | ||||||||
\(160\) | 264964. | + | 186150.i | 0.818252 | + | 0.574860i | ||||
\(161\) | 317857. | 0.966423 | ||||||||
\(162\) | −98793.3 | + | 54410.8i | −0.295760 | + | 0.162891i | ||||
\(163\) | 130313. | + | 130313.i | 0.384166 | + | 0.384166i | 0.872601 | − | 0.488434i | \(-0.162432\pi\) |
−0.488434 | + | 0.872601i | \(0.662432\pi\) | |||||||
\(164\) | −207989. | + | 328852.i | −0.603853 | + | 0.954753i | ||||
\(165\) | 107212. | + | 104658.i | 0.306573 | + | 0.299271i | ||||
\(166\) | −322366. | − | 93387.9i | −0.907984 | − | 0.263039i | ||||
\(167\) | 177343. | + | 177343.i | 0.492067 | + | 0.492067i | 0.908957 | − | 0.416890i | \(-0.136880\pi\) |
−0.416890 | + | 0.908957i | \(0.636880\pi\) | |||||||
\(168\) | −847872. | − | 51386.4i | −2.31770 | − | 0.140467i | ||||
\(169\) | − | 68977.3i | − | 0.185776i | ||||||
\(170\) | −33857.9 | + | 122374.i | −0.0898542 | + | 0.324762i | ||||
\(171\) | −930266. | −2.43286 | ||||||||
\(172\) | 443670. | − | 99886.4i | 1.14351 | − | 0.257445i | ||||
\(173\) | 19021.2 | − | 19021.2i | 0.0483194 | − | 0.0483194i | −0.682534 | − | 0.730854i | \(-0.739122\pi\) |
0.730854 | + | 0.682534i | \(0.239122\pi\) | |||||||
\(174\) | −213800. | − | 61936.9i | −0.535346 | − | 0.155087i | ||||
\(175\) | −434623. | − | 414159.i | −1.07280 | − | 1.02229i | ||||
\(176\) | 48152.8 | + | 101521.i | 0.117176 | + | 0.247043i | ||||
\(177\) | −355705. | + | 355705.i | −0.853409 | + | 0.853409i | ||||
\(178\) | 79080.2 | + | 143586.i | 0.187076 | + | 0.339673i | ||||
\(179\) | 270618.i | 0.631283i | 0.948878 | + | 0.315642i | \(0.102220\pi\) | ||||
−0.948878 | + | 0.315642i | \(0.897780\pi\) | |||||||
\(180\) | 538635. | + | 331651.i | 1.23912 | + | 0.762956i | ||||
\(181\) | − | 454629.i | − | 1.03148i | −0.856745 | − | 0.515740i | \(-0.827517\pi\) | ||
0.856745 | − | 0.515740i | \(-0.172483\pi\) | |||||||
\(182\) | −631633. | + | 347874.i | −1.41347 | + | 0.778473i | ||||
\(183\) | 498055. | − | 498055.i | 1.09938 | − | 1.09938i | ||||
\(184\) | −198580. | − | 224204.i | −0.432406 | − | 0.488200i | ||||
\(185\) | −403072. | − | 393472.i | −0.865872 | − | 0.845248i | ||||
\(186\) | 146303. | − | 505023.i | 0.310078 | − | 1.07036i | ||||
\(187\) | −31153.6 | + | 31153.6i | −0.0651484 | + | 0.0651484i | ||||
\(188\) | −518339. | + | 116697.i | −1.06959 | + | 0.240805i | ||||
\(189\) | −519016. | −1.05688 | ||||||||
\(190\) | −410098. | − | 723829.i | −0.824145 | − | 1.45463i | ||||
\(191\) | 251074.i | 0.497988i | 0.968505 | + | 0.248994i | \(0.0800999\pi\) | ||||
−0.968505 | + | 0.248994i | \(0.919900\pi\) | |||||||
\(192\) | 493459. | + | 630158.i | 0.966047 | + | 1.23366i | ||||
\(193\) | −12037.9 | − | 12037.9i | −0.0232626 | − | 0.0232626i | 0.695380 | − | 0.718642i | \(-0.255236\pi\) |
−0.718642 | + | 0.695380i | \(0.755236\pi\) | |||||||
\(194\) | −38202.1 | + | 131870.i | −0.0728758 | + | 0.251560i | ||||
\(195\) | 905935. | − | 10919.2i | 1.70612 | − | 0.0205639i | ||||
\(196\) | 543613. | + | 343820.i | 1.01076 | + | 0.639279i | ||||
\(197\) | 3901.52 | + | 3901.52i | 0.00716257 | + | 0.00716257i | 0.710679 | − | 0.703516i | \(-0.248388\pi\) |
−0.703516 | + | 0.710679i | \(0.748388\pi\) | |||||||
\(198\) | 105887. | + | 192259.i | 0.191946 | + | 0.348516i | ||||
\(199\) | 298621. | 0.534550 | 0.267275 | − | 0.963620i | \(-0.413877\pi\) | ||||
0.267275 | + | 0.963620i | \(0.413877\pi\) | |||||||
\(200\) | −20601.9 | + | 565310.i | −0.0364194 | + | 0.999337i | ||||
\(201\) | 941122. | 1.64307 | ||||||||
\(202\) | 520664. | + | 945368.i | 0.897800 | + | 1.63013i | ||||
\(203\) | 218842. | + | 218842.i | 0.372727 | + | 0.372727i | ||||
\(204\) | −167754. | + | 265236.i | −0.282226 | + | 0.446228i | ||||
\(205\) | −679690. | + | 8192.31i | −1.12960 | + | 0.0136151i | ||||
\(206\) | 150276. | − | 518736.i | 0.246729 | − | 0.851684i | ||||
\(207\) | −413694. | − | 413694.i | −0.671048 | − | 0.671048i | ||||
\(208\) | 639987. | + | 228195.i | 1.02568 | + | 0.365720i | ||||
\(209\) | − | 288672.i | − | 0.457130i | ||||||
\(210\) | −731479. | − | 1.29107e6i | −1.14460 | − | 2.02024i | ||||
\(211\) | −1.05067e6 | −1.62466 | −0.812329 | − | 0.583200i | \(-0.801800\pi\) | ||||
−0.812329 | + | 0.583200i | \(0.801800\pi\) | |||||||
\(212\) | 13045.6 | + | 57945.1i | 0.0199353 | + | 0.0885476i | ||||
\(213\) | −988971. | + | 988971.i | −1.49360 | + | 1.49360i | ||||
\(214\) | 48015.1 | − | 165743.i | 0.0716709 | − | 0.247401i | ||||
\(215\) | 568497. | + | 554956.i | 0.838750 | + | 0.818772i | ||||
\(216\) | 324254. | + | 366093.i | 0.472880 | + | 0.533897i | ||||
\(217\) | −516933. | + | 516933.i | −0.745220 | + | 0.745220i | ||||
\(218\) | 790408. | − | 435320.i | 1.12645 | − | 0.620394i | ||||
\(219\) | 869738.i | 1.22540i | ||||||||
\(220\) | −102915. | + | 167145.i | −0.143358 | + | 0.232828i | ||||
\(221\) | 266419.i | 0.366931i | ||||||||
\(222\) | −671661. | − | 1.21953e6i | −0.914677 | − | 1.66077i | ||||
\(223\) | −406061. | + | 406061.i | −0.546800 | + | 0.546800i | −0.925514 | − | 0.378714i | \(-0.876367\pi\) |
0.378714 | + | 0.925514i | \(0.376367\pi\) | |||||||
\(224\) | −178298. | − | 1.09846e6i | −0.237425 | − | 1.46273i | ||||
\(225\) | 26633.7 | + | 1.10470e6i | 0.0350732 | + | 1.45475i | ||||
\(226\) | 39727.1 | + | 11508.8i | 0.0517388 | + | 0.0149885i | ||||
\(227\) | 1.06139e6 | − | 1.06139e6i | 1.36713 | − | 1.36713i | 0.502634 | − | 0.864500i | \(-0.332364\pi\) |
0.864500 | − | 0.502634i | \(-0.167636\pi\) | |||||||
\(228\) | −451638. | − | 2.00606e6i | −0.575378 | − | 2.55569i | ||||
\(229\) | 767294. | 0.966881 | 0.483440 | − | 0.875377i | \(-0.339387\pi\) | ||||
0.483440 | + | 0.875377i | \(0.339387\pi\) | |||||||
\(230\) | 139518. | − | 504263.i | 0.173904 | − | 0.628547i | ||||
\(231\) | − | 514896.i | − | 0.634877i | ||||||
\(232\) | 17641.5 | − | 291083.i | 0.0215186 | − | 0.355056i | ||||
\(233\) | 227771. | + | 227771.i | 0.274858 | + | 0.274858i | 0.831052 | − | 0.556194i | \(-0.187739\pi\) |
−0.556194 | + | 0.831052i | \(0.687739\pi\) | |||||||
\(234\) | 1.27484e6 | + | 369316.i | 1.52200 | + | 0.440918i | ||||
\(235\) | −664174. | − | 648354.i | −0.784535 | − | 0.765848i | ||||
\(236\) | −556986. | − | 352278.i | −0.650975 | − | 0.411723i | ||||
\(237\) | 977525. | + | 977525.i | 1.13046 | + | 1.13046i | ||||
\(238\) | 382217. | − | 210507.i | 0.437389 | − | 0.240893i | ||||
\(239\) | −205259. | −0.232438 | −0.116219 | − | 0.993224i | \(-0.537077\pi\) | ||||
−0.116219 | + | 0.993224i | \(0.537077\pi\) | |||||||
\(240\) | −453681. | + | 1.32255e6i | −0.508419 | + | 1.48212i | ||||
\(241\) | 1.47338e6 | 1.63407 | 0.817037 | − | 0.576585i | \(-0.195615\pi\) | ||||
0.817037 | + | 0.576585i | \(0.195615\pi\) | |||||||
\(242\) | 738355. | − | 406652.i | 0.810452 | − | 0.446359i | ||||
\(243\) | −808567. | − | 808567.i | −0.878417 | − | 0.878417i | ||||
\(244\) | 779886. | + | 493256.i | 0.838604 | + | 0.530393i | ||||
\(245\) | 13542.4 | + | 1.12357e6i | 0.0144139 | + | 1.19587i | ||||
\(246\) | −1.61375e6 | − | 467498.i | −1.70020 | − | 0.492540i | ||||
\(247\) | −1.23433e6 | − | 1.23433e6i | −1.28733 | − | 1.28733i | ||||
\(248\) | 687575. | + | 41671.4i | 0.709890 | + | 0.0430238i | ||||
\(249\) | − | 1.44916e6i | − | 1.48122i | ||||||
\(250\) | −847812. | + | 507718.i | −0.857925 | + | 0.513775i | ||||
\(251\) | 1.12409e6 | 1.12620 | 0.563102 | − | 0.826387i | \(-0.309608\pi\) | ||||
0.563102 | + | 0.826387i | \(0.309608\pi\) | |||||||
\(252\) | −477460. | − | 2.12076e6i | −0.473626 | − | 2.10373i | ||||
\(253\) | 128374. | − | 128374.i | 0.126089 | − | 0.126089i | ||||
\(254\) | 560449. | + | 162360.i | 0.545070 | + | 0.157904i | ||||
\(255\) | −548204. | + | 6607.51i | −0.527949 | + | 0.00636337i | ||||
\(256\) | −663421. | + | 812025.i | −0.632687 | + | 0.774408i | ||||
\(257\) | −402647. | + | 402647.i | −0.380270 | + | 0.380270i | −0.871199 | − | 0.490929i | \(-0.836657\pi\) |
0.490929 | + | 0.871199i | \(0.336657\pi\) | |||||||
\(258\) | 947318. | + | 1.72004e6i | 0.886026 | + | 1.60875i | ||||
\(259\) | 1.93579e6i | 1.79312i | ||||||||
\(260\) | 274639. | + | 1.15475e6i | 0.251958 | + | 1.05938i | ||||
\(261\) | − | 569650.i | − | 0.517615i | ||||||
\(262\) | 1.35757e6 | − | 747687.i | 1.22183 | − | 0.672925i | ||||
\(263\) | 918848. | − | 918848.i | 0.819133 | − | 0.819133i | −0.166849 | − | 0.985982i | \(-0.553359\pi\) |
0.985982 | + | 0.166849i | \(0.0533593\pi\) | |||||||
\(264\) | −363187. | + | 321680.i | −0.320716 | + | 0.284062i | ||||
\(265\) | −72479.5 | + | 74248.0i | −0.0634017 | + | 0.0649487i | ||||
\(266\) | −795541. | + | 2.74612e6i | −0.689379 | + | 2.37967i | ||||
\(267\) | −500486. | + | 500486.i | −0.429649 | + | 0.429649i | ||||
\(268\) | 270808. | + | 1.20286e6i | 0.230316 | + | 1.02301i | ||||
\(269\) | −859452. | −0.724171 | −0.362085 | − | 0.932145i | \(-0.617935\pi\) | ||||
−0.362085 | + | 0.932145i | \(0.617935\pi\) | |||||||
\(270\) | −227813. | + | 823392.i | −0.190182 | + | 0.687381i | ||||
\(271\) | 133818.i | 0.110686i | 0.998467 | + | 0.0553428i | \(0.0176252\pi\) | ||||
−0.998467 | + | 0.0553428i | \(0.982375\pi\) | |||||||
\(272\) | −387272. | − | 138087.i | −0.317391 | − | 0.113170i | ||||
\(273\) | −2.20164e6 | − | 2.20164e6i | −1.78788 | − | 1.78788i | ||||
\(274\) | −55123.2 | + | 190280.i | −0.0443566 | + | 0.153114i | ||||
\(275\) | −342801. | + | 8264.76i | −0.273344 | + | 0.00659020i | ||||
\(276\) | 691261. | − | 1.09295e6i | 0.546222 | − | 0.863632i | ||||
\(277\) | −511140. | − | 511140.i | −0.400258 | − | 0.400258i | 0.478066 | − | 0.878324i | \(-0.341338\pi\) |
−0.878324 | + | 0.478066i | \(0.841338\pi\) | |||||||
\(278\) | 272439. | + | 494666.i | 0.211425 | + | 0.383884i | ||||
\(279\) | 1.34559e6 | 1.03491 | ||||||||
\(280\) | 1.43965e6 | − | 1.30642e6i | 1.09739 | − | 0.995835i | ||||
\(281\) | 1.05360e6 | 0.795994 | 0.397997 | − | 0.917387i | \(-0.369705\pi\) | ||||
0.397997 | + | 0.917387i | \(0.369705\pi\) | |||||||
\(282\) | −1.10675e6 | − | 2.00952e6i | −0.828755 | − | 1.50477i | ||||
\(283\) | 151790. | + | 151790.i | 0.112662 | + | 0.112662i | 0.761190 | − | 0.648528i | \(-0.224615\pi\) |
−0.648528 | + | 0.761190i | \(0.724615\pi\) | |||||||
\(284\) | −1.54859e6 | − | 979440.i | −1.13931 | − | 0.720580i | ||||
\(285\) | 2.50925e6 | − | 2.57047e6i | 1.82992 | − | 1.87457i | ||||
\(286\) | −114603. | + | 395597.i | −0.0828477 | + | 0.285982i | ||||
\(287\) | 1.65181e6 | + | 1.65181e6i | 1.18374 | + | 1.18374i | ||||
\(288\) | −1.19760e6 | + | 1.66172e6i | −0.850809 | + | 1.18053i | ||||
\(289\) | 1.25864e6i | 0.886456i | ||||||||
\(290\) | 443238. | − | 251124.i | 0.309487 | − | 0.175345i | ||||
\(291\) | −592807. | −0.410375 | ||||||||
\(292\) | −1.11162e6 | + | 250267.i | −0.762958 | + | 0.171770i | ||||
\(293\) | −1.05639e6 | + | 1.05639e6i | −0.718881 | + | 0.718881i | −0.968376 | − | 0.249495i | \(-0.919735\pi\) |
0.249495 | + | 0.968376i | \(0.419735\pi\) | |||||||
\(294\) | −772803. | + | 2.66764e6i | −0.521435 | + | 1.79994i | ||||
\(295\) | −13875.6 | − | 1.15121e6i | −0.00928315 | − | 0.770194i | ||||
\(296\) | 1.36543e6 | − | 1.20938e6i | 0.905816 | − | 0.802294i | ||||
\(297\) | −209617. | + | 209617.i | −0.137891 | + | 0.137891i | ||||
\(298\) | 33858.7 | − | 18647.8i | 0.0220866 | − | 0.0121643i | ||||
\(299\) | − | 1.09783e6i | − | 0.710160i | ||||||
\(300\) | −2.36929e6 | + | 593758.i | −1.51990 | + | 0.380896i | ||||
\(301\) | − | 2.73026e6i | − | 1.73695i | ||||||
\(302\) | −83812.5 | − | 152178.i | −0.0528800 | − | 0.0960140i | ||||
\(303\) | −3.29520e6 | + | 3.29520e6i | −2.06194 | + | 2.06194i | ||||
\(304\) | 2.43402e6 | − | 1.15449e6i | 1.51057 | − | 0.716484i | ||||
\(305\) | 19428.4 | + | 1.61191e6i | 0.0119588 | + | 0.992184i | ||||
\(306\) | −771437. | − | 223482.i | −0.470974 | − | 0.136439i | ||||
\(307\) | −460970. | + | 460970.i | −0.279143 | + | 0.279143i | −0.832767 | − | 0.553624i | \(-0.813245\pi\) |
0.553624 | + | 0.832767i | \(0.313245\pi\) | |||||||
\(308\) | 658095. | − | 148161.i | 0.395287 | − | 0.0889935i | ||||
\(309\) | 2.33193e6 | 1.38937 | ||||||||
\(310\) | 593187. | + | 1.04698e6i | 0.350580 | + | 0.618780i | ||||
\(311\) | 44810.5i | 0.0262711i | 0.999914 | + | 0.0131356i | \(0.00418130\pi\) | ||||
−0.999914 | + | 0.0131356i | \(0.995819\pi\) | |||||||
\(312\) | −177480. | + | 2.92841e6i | −0.103220 | + | 1.70312i | ||||
\(313\) | −2.36991e6 | − | 2.36991e6i | −1.36733 | − | 1.36733i | −0.864232 | − | 0.503093i | \(-0.832195\pi\) |
−0.503093 | − | 0.864232i | \(-0.667805\pi\) | |||||||
\(314\) | −1.56745e6 | − | 454083.i | −0.897158 | − | 0.259903i | ||||
\(315\) | 2.65271e6 | − | 2.71743e6i | 1.50631 | − | 1.54306i | ||||
\(316\) | −968105. | + | 1.53067e6i | −0.545387 | + | 0.862311i | ||||
\(317\) | −2.29735e6 | − | 2.29735e6i | −1.28404 | − | 1.28404i | −0.938346 | − | 0.345697i | \(-0.887643\pi\) |
−0.345697 | − | 0.938346i | \(-0.612357\pi\) | |||||||
\(318\) | −224644. | + | 123723.i | −0.124574 | + | 0.0686095i | ||||
\(319\) | 176769. | 0.0972589 | ||||||||
\(320\) | −1.82091e6 | − | 199292.i | −0.994064 | − | 0.108796i | ||||
\(321\) | 745081. | 0.403591 | ||||||||
\(322\) | −1.57500e6 | + | 867435.i | −0.846526 | + | 0.466227i | ||||
\(323\) | 746925. | + | 746925.i | 0.398355 | + | 0.398355i | ||||
\(324\) | 341038. | − | 539216.i | 0.180485 | − | 0.285365i | ||||
\(325\) | −1.43044e6 | + | 1.50112e6i | −0.751210 | + | 0.788327i | ||||
\(326\) | −1.00133e6 | − | 290082.i | −0.521837 | − | 0.151174i | ||||
\(327\) | 2.75507e6 | + | 2.75507e6i | 1.42483 | + | 1.42483i | ||||
\(328\) | 133157. | − | 2.19708e6i | 0.0683407 | − | 1.12762i | ||||
\(329\) | 3.18976e6i | 1.62468i | ||||||||
\(330\) | −816855. | − | 226005.i | −0.412914 | − | 0.114244i | ||||
\(331\) | −336759. | −0.168947 | −0.0844733 | − | 0.996426i | \(-0.526921\pi\) | ||||
−0.0844733 | + | 0.996426i | \(0.526921\pi\) | |||||||
\(332\) | 1.85219e6 | − | 416997.i | 0.922234 | − | 0.207629i | ||||
\(333\) | 2.51945e6 | − | 2.51945e6i | 1.24508 | − | 1.24508i | ||||
\(334\) | −1.36272e6 | − | 394774.i | −0.668405 | − | 0.193634i | ||||
\(335\) | −1.50458e6 | + | 1.54129e6i | −0.732491 | + | 0.750364i | ||||
\(336\) | 4.34148e6 | − | 2.05923e6i | 2.09792 | − | 0.995076i | ||||
\(337\) | 1.01889e6 | − | 1.01889e6i | 0.488712 | − | 0.488712i | −0.419187 | − | 0.907900i | \(-0.637685\pi\) |
0.907900 | + | 0.419187i | \(0.137685\pi\) | |||||||
\(338\) | 188240. | + | 341786.i | 0.0896230 | + | 0.162728i | ||||
\(339\) | 178589.i | 0.0844027i | ||||||||
\(340\) | −166191. | − | 698766.i | −0.0779669 | − | 0.327819i | ||||
\(341\) | 417551.i | 0.194457i | ||||||||
\(342\) | 4.60951e6 | − | 2.53870e6i | 2.13103 | − | 1.17367i | ||||
\(343\) | 447406. | − | 447406.i | 0.205336 | − | 0.205336i | ||||
\(344\) | −1.92582e6 | + | 1.70572e6i | −0.877443 | + | 0.777163i | ||||
\(345\) | 2.25898e6 | − | 27227.5i | 1.02180 | − | 0.0123157i | ||||
\(346\) | −42341.9 | + | 146160.i | −0.0190143 | + | 0.0656353i | ||||
\(347\) | −969632. | + | 969632.i | −0.432298 | + | 0.432298i | −0.889409 | − | 0.457111i | \(-0.848884\pi\) |
0.457111 | + | 0.889409i | \(0.348884\pi\) | |||||||
\(348\) | 1.22842e6 | − | 276561.i | 0.543747 | − | 0.122417i | ||||
\(349\) | 33463.7 | 0.0147066 | 0.00735328 | − | 0.999973i | \(-0.497659\pi\) | ||||
0.00735328 | + | 0.999973i | \(0.497659\pi\) | |||||||
\(350\) | 3.28382e6 | + | 866089.i | 1.43288 | + | 0.377914i | ||||
\(351\) | 1.79260e6i | 0.776633i | ||||||||
\(352\) | −515650. | − | 371631.i | −0.221819 | − | 0.159866i | ||||
\(353\) | −1.13980e6 | − | 1.13980e6i | −0.486845 | − | 0.486845i | 0.420464 | − | 0.907309i | \(-0.361867\pi\) |
−0.907309 | + | 0.420464i | \(0.861867\pi\) | |||||||
\(354\) | 791814. | − | 2.73326e6i | 0.335827 | − | 1.15924i | ||||
\(355\) | −38578.3 | − | 3.20072e6i | −0.0162470 | − | 1.34796i | ||||
\(356\) | −783692. | − | 495663.i | −0.327733 | − | 0.207282i | ||||
\(357\) | 1.33227e6 | + | 1.33227e6i | 0.553249 | + | 0.553249i | ||||
\(358\) | −738520. | − | 1.34093e6i | −0.304547 | − | 0.552965i | ||||
\(359\) | 3.63472e6 | 1.48845 | 0.744226 | − | 0.667928i | \(-0.232818\pi\) | ||||
0.744226 | + | 0.667928i | \(0.232818\pi\) | |||||||
\(360\) | −3.57404e6 | − | 173405.i | −1.45346 | − | 0.0705188i | ||||
\(361\) | −4.44499e6 | −1.79516 | ||||||||
\(362\) | 1.24069e6 | + | 2.25271e6i | 0.497612 | + | 0.903512i | ||||
\(363\) | 2.57363e6 | + | 2.57363e6i | 1.02513 | + | 1.02513i | ||||
\(364\) | 2.18042e6 | − | 3.44747e6i | 0.862556 | − | 1.36379i | ||||
\(365\) | −1.42438e6 | − | 1.39045e6i | −0.559621 | − | 0.546291i | ||||
\(366\) | −1.10869e6 | + | 3.82708e6i | −0.432621 | + | 1.49336i | ||||
\(367\) | −3.14879e6 | − | 3.14879e6i | −1.22034 | − | 1.22034i | −0.967513 | − | 0.252823i | \(-0.918641\pi\) |
−0.252823 | − | 0.967513i | \(-0.581359\pi\) | |||||||
\(368\) | 1.59583e6 | + | 569012.i | 0.614280 | + | 0.219029i | ||||
\(369\) | − | 4.29969e6i | − | 1.64389i | ||||||
\(370\) | 3.07103e6 | + | 849683.i | 1.16622 | + | 0.322666i | ||||
\(371\) | 356583. | 0.134501 | ||||||||
\(372\) | 653274. | + | 2.90168e6i | 0.244758 | + | 1.08716i | ||||
\(373\) | −935485. | + | 935485.i | −0.348149 | + | 0.348149i | −0.859420 | − | 0.511271i | \(-0.829175\pi\) |
0.511271 | + | 0.859420i | \(0.329175\pi\) | |||||||
\(374\) | 69349.1 | − | 239386.i | 0.0256367 | − | 0.0884952i | ||||
\(375\) | −3.12430e6 | − | 2.90616e6i | −1.14729 | − | 1.06719i | ||||
\(376\) | 2.24993e6 | − | 1.99279e6i | 0.820727 | − | 0.726929i | ||||
\(377\) | 755845. | − | 755845.i | 0.273892 | − | 0.273892i | ||||
\(378\) | 2.57175e6 | − | 1.41640e6i | 0.925763 | − | 0.509867i | ||||
\(379\) | 1.29738e6i | 0.463948i | 0.972722 | + | 0.231974i | \(0.0745184\pi\) | ||||
−0.972722 | + | 0.231974i | \(0.925482\pi\) | |||||||
\(380\) | 4.00739e6 | + | 2.46745e6i | 1.42365 | + | 0.876575i | ||||
\(381\) | 2.51944e6i | 0.889185i | ||||||||
\(382\) | −685184. | − | 1.24408e6i | −0.240242 | − | 0.436206i | ||||
\(383\) | 2.38206e6 | − | 2.38206e6i | 0.829766 | − | 0.829766i | −0.157718 | − | 0.987484i | \(-0.550414\pi\) |
0.987484 | + | 0.157718i | \(0.0504137\pi\) | |||||||
\(384\) | −4.16482e6 | − | 1.77581e6i | −1.44135 | − | 0.614565i | ||||
\(385\) | 843252. | + | 823166.i | 0.289938 | + | 0.283032i | ||||
\(386\) | 92500.0 | + | 26796.9i | 0.0315990 | + | 0.00915410i | ||||
\(387\) | −3.55346e6 | + | 3.55346e6i | −1.20608 | + | 1.20608i | ||||
\(388\) | −170581. | − | 757675.i | −0.0575241 | − | 0.255508i | ||||
\(389\) | −3.68559e6 | −1.23490 | −0.617451 | − | 0.786609i | \(-0.711835\pi\) | ||||
−0.617451 | + | 0.786609i | \(0.711835\pi\) | |||||||
\(390\) | −4.45915e6 | + | 2.52641e6i | −1.48454 | + | 0.841090i | ||||
\(391\) | 664323.i | 0.219754i | ||||||||
\(392\) | −3.63192e6 | − | 220117.i | −1.19377 | − | 0.0723500i | ||||
\(393\) | 4.73199e6 | + | 4.73199e6i | 1.54548 | + | 1.54548i | ||||
\(394\) | −29979.5 | − | 8684.95i | −0.00972936 | − | 0.00281856i | ||||
\(395\) | −3.16368e6 | + | 38131.8i | −1.02023 | + | 0.0122969i | ||||
\(396\) | −1.04935e6 | − | 663684.i | −0.336266 | − | 0.212679i | ||||
\(397\) | 4.08468e6 | + | 4.08468e6i | 1.30071 | + | 1.30071i | 0.927911 | + | 0.372802i | \(0.121603\pi\) |
0.372802 | + | 0.927911i | \(0.378397\pi\) | |||||||
\(398\) | −1.47968e6 | + | 814940.i | −0.468232 | + | 0.257880i | ||||
\(399\) | −1.23449e7 | −3.88201 | ||||||||
\(400\) | −1.44065e6 | − | 2.85736e6i | −0.450204 | − | 0.892926i | ||||
\(401\) | 2.80149e6 | 0.870017 | 0.435008 | − | 0.900426i | \(-0.356745\pi\) | ||||
0.435008 | + | 0.900426i | \(0.356745\pi\) | |||||||
\(402\) | −4.66331e6 | + | 2.56833e6i | −1.43923 | + | 0.792658i | ||||
\(403\) | 1.78540e6 | + | 1.78540e6i | 0.547613 | + | 0.547613i | ||||
\(404\) | −5.15983e6 | − | 3.26345e6i | −1.57283 | − | 0.994771i | ||||
\(405\) | 1.11448e6 | − | 13432.9i | 0.337626 | − | 0.00406941i | ||||
\(406\) | −1.68159e6 | − | 487151.i | −0.506298 | − | 0.146672i | ||||
\(407\) | 781816. | + | 781816.i | 0.233947 | + | 0.233947i | ||||
\(408\) | 107398. | − | 1.77206e6i | 0.0319408 | − | 0.527020i | ||||
\(409\) | 4.14449e6i | 1.22508i | 0.790441 | + | 0.612538i | \(0.209851\pi\) | ||||
−0.790441 | + | 0.612538i | \(0.790149\pi\) | |||||||
\(410\) | 3.34554e6 | − | 1.89547e6i | 0.982894 | − | 0.556876i | ||||
\(411\) | −855383. | −0.249779 | ||||||||
\(412\) | 671012. | + | 2.98047e6i | 0.194754 | + | 0.865050i | ||||
\(413\) | −2.79772e6 | + | 2.79772e6i | −0.807102 | + | 0.807102i | ||||
\(414\) | 3.17885e6 | + | 920900.i | 0.911527 | + | 0.264065i | ||||
\(415\) | 2.37331e6 | + | 2.31678e6i | 0.676448 | + | 0.660336i | ||||
\(416\) | −3.79392e6 | + | 615812.i | −1.07487 | + | 0.174468i | ||||
\(417\) | −1.72422e6 | + | 1.72422e6i | −0.485571 | + | 0.485571i | ||||
\(418\) | 787790. | + | 1.43039e6i | 0.220531 | + | 0.400417i | ||||
\(419\) | − | 1.58235e6i | − | 0.440320i | −0.975464 | − | 0.220160i | \(-0.929342\pi\) | ||
0.975464 | − | 0.220160i | \(-0.0706579\pi\) | |||||||
\(420\) | 7.14786e6 | + | 4.40111e6i | 1.97721 | + | 1.21742i | ||||
\(421\) | 4.44020e6i | 1.22095i | 0.792036 | + | 0.610475i | \(0.209021\pi\) | ||||
−0.792036 | + | 0.610475i | \(0.790979\pi\) | |||||||
\(422\) | 5.20614e6 | − | 2.86730e6i | 1.42310 | − | 0.783776i | ||||
\(423\) | 4.15150e6 | − | 4.15150e6i | 1.12812 | − | 1.12812i | ||||
\(424\) | −222774. | − | 251519.i | −0.0601797 | − | 0.0679449i | ||||
\(425\) | 865595. | − | 908365.i | 0.232457 | − | 0.243943i | ||||
\(426\) | 2.20149e6 | − | 7.59931e6i | 0.587750 | − | 2.02885i | ||||
\(427\) | 3.91734e6 | − | 3.91734e6i | 1.03973 | − | 1.03973i | ||||
\(428\) | 214397. | + | 952298.i | 0.0565731 | + | 0.251283i | ||||
\(429\) | −1.77837e6 | −0.466529 | ||||||||
\(430\) | −4.33141e6 | − | 1.19840e6i | −1.12969 | − | 0.312558i | ||||
\(431\) | − | 1.63067e6i | − | 0.422838i | −0.977396 | − | 0.211419i | \(-0.932192\pi\) | ||
0.977396 | − | 0.211419i | \(-0.0678084\pi\) | |||||||
\(432\) | −2.60577e6 | − | 929118.i | −0.671778 | − | 0.239531i | ||||
\(433\) | 247629. | + | 247629.i | 0.0634719 | + | 0.0634719i | 0.738130 | − | 0.674658i | \(-0.235709\pi\) |
−0.674658 | + | 0.738130i | \(0.735709\pi\) | |||||||
\(434\) | 1.15071e6 | − | 3.97214e6i | 0.293253 | − | 1.01228i | ||||
\(435\) | 1.57403e6 | + | 1.53654e6i | 0.398832 | + | 0.389333i | ||||
\(436\) | −2.72852e6 | + | 4.31406e6i | −0.687402 | + | 1.08685i | ||||
\(437\) | −3.07784e6 | − | 3.07784e6i | −0.770980 | − | 0.770980i | ||||
\(438\) | −2.37352e6 | − | 4.30959e6i | −0.591164 | − | 1.07337i | ||||
\(439\) | 5.01088e6 | 1.24094 | 0.620472 | − | 0.784228i | \(-0.286941\pi\) | ||||
0.620472 | + | 0.784228i | \(0.286941\pi\) | |||||||
\(440\) | 53809.6 | − | 1.10907e6i | 0.0132504 | − | 0.273103i | ||||
\(441\) | −7.10767e6 | −1.74033 | ||||||||
\(442\) | −727059. | − | 1.32012e6i | −0.177017 | − | 0.321408i | ||||
\(443\) | −4.59370e6 | − | 4.59370e6i | −1.11212 | − | 1.11212i | −0.992863 | − | 0.119261i | \(-0.961947\pi\) |
−0.119261 | − | 0.992863i | \(-0.538053\pi\) | |||||||
\(444\) | 6.65623e6 | + | 4.20987e6i | 1.60240 | + | 1.01347i | ||||
\(445\) | −19523.2 | − | 1.61978e6i | −0.00467360 | − | 0.387754i | ||||
\(446\) | 903907. | − | 3.12019e6i | 0.215172 | − | 0.742753i | ||||
\(447\) | 118019. | + | 118019.i | 0.0279372 | + | 0.0279372i | ||||
\(448\) | 3.88119e6 | + | 4.95636e6i | 0.913629 | + | 1.16672i | ||||
\(449\) | − | 5.19864e6i | − | 1.21695i | −0.793572 | − | 0.608476i | \(-0.791781\pi\) | ||
0.793572 | − | 0.608476i | \(-0.208219\pi\) | |||||||
\(450\) | −3.14670e6 | − | 5.40115e6i | −0.732529 | − | 1.25735i | ||||
\(451\) | 1.33425e6 | 0.308883 | ||||||||
\(452\) | −228257. | + | 51389.1i | −0.0525508 | + | 0.0118311i | ||||
\(453\) | 530436. | − | 530436.i | 0.121447 | − | 0.121447i | ||||
\(454\) | −2.36270e6 | + | 8.15579e6i | −0.537983 | + | 1.85706i | ||||
\(455\) | 7.12542e6 | − | 85882.7i | 1.61355 | − | 0.0194481i | ||||
\(456\) | 7.71245e6 | + | 8.70761e6i | 1.73692 | + | 1.96104i | ||||
\(457\) | 4.65839e6 | − | 4.65839e6i | 1.04339 | − | 1.04339i | 0.0443713 | − | 0.999015i | \(-0.485872\pi\) |
0.999015 | − | 0.0443713i | \(-0.0141285\pi\) | |||||||
\(458\) | −3.80198e6 | + | 2.09395e6i | −0.846927 | + | 0.466448i | ||||
\(459\) | − | 1.08475e6i | − | 0.240324i | ||||||
\(460\) | 684821. | + | 2.87940e6i | 0.150898 | + | 0.634464i | ||||
\(461\) | − | 1.06915e6i | − | 0.234308i | −0.993114 | − | 0.117154i | \(-0.962623\pi\) | ||
0.993114 | − | 0.117154i | \(-0.0373771\pi\) | |||||||
\(462\) | 1.40516e6 | + | 2.55133e6i | 0.306281 | + | 0.556112i | ||||
\(463\) | −2.38078e6 | + | 2.38078e6i | −0.516140 | + | 0.516140i | −0.916401 | − | 0.400261i | \(-0.868919\pi\) |
0.400261 | + | 0.916401i | \(0.368919\pi\) | |||||||
\(464\) | 706954. | + | 1.49047e6i | 0.152439 | + | 0.321388i | ||||
\(465\) | −3.62951e6 | + | 3.71807e6i | −0.778422 | + | 0.797416i | ||||
\(466\) | −1.75021e6 | − | 507027.i | −0.373357 | − | 0.108160i | ||||
\(467\) | 1.78812e6 | − | 1.78812e6i | 0.379405 | − | 0.379405i | −0.491482 | − | 0.870888i | \(-0.663545\pi\) |
0.870888 | + | 0.491482i | \(0.163545\pi\) | |||||||
\(468\) | −7.32475e6 | + | 1.64907e6i | −1.54589 | + | 0.348036i | ||||
\(469\) | 7.40218e6 | 1.55392 | ||||||||
\(470\) | 5.06038e6 | + | 1.40009e6i | 1.05667 | + | 0.292355i | ||||
\(471\) | − | 7.04630e6i | − | 1.46355i | ||||||
\(472\) | 3.72126e6 | + | 225532.i | 0.768839 | + | 0.0465965i | ||||
\(473\) | −1.10268e6 | − | 1.10268e6i | −0.226619 | − | 0.226619i | ||||
\(474\) | −7.51136e6 | − | 2.17601e6i | −1.53558 | − | 0.444851i | ||||
\(475\) | 198152. | + | 8.21885e6i | 0.0402963 | + | 1.67139i | ||||
\(476\) | −1.31943e6 | + | 2.08615e6i | −0.266912 | + | 0.422015i | ||||
\(477\) | −464096. | − | 464096.i | −0.0933926 | − | 0.0933926i | ||||
\(478\) | 1.01707e6 | − | 560154.i | 0.203601 | − | 0.112134i | ||||
\(479\) | 6.71412e6 | 1.33706 | 0.668530 | − | 0.743686i | \(-0.266924\pi\) | ||||
0.668530 | + | 0.743686i | \(0.266924\pi\) | |||||||
\(480\) | −1.36124e6 | − | 7.79139e6i | −0.269669 | − | 1.54352i | ||||
\(481\) | 6.68592e6 | 1.31764 | ||||||||
\(482\) | −7.30066e6 | + | 4.02086e6i | −1.43135 | + | 0.788318i | ||||
\(483\) | −5.48985e6 | − | 5.48985e6i | −1.07076 | − | 1.07076i | ||||
\(484\) | −2.54883e6 | + | 4.02996e6i | −0.494570 | + | 0.781965i | ||||
\(485\) | 947724. | − | 970849.i | 0.182948 | − | 0.187412i | ||||
\(486\) | 6.21308e6 | + | 1.79990e6i | 1.19321 | + | 0.345667i | ||||
\(487\) | −2.69373e6 | − | 2.69373e6i | −0.514672 | − | 0.514672i | 0.401282 | − | 0.915955i | \(-0.368565\pi\) |
−0.915955 | + | 0.401282i | \(0.868565\pi\) | |||||||
\(488\) | −5.21047e6 | − | 315788.i | −0.990439 | − | 0.0600269i | ||||
\(489\) | − | 4.50140e6i | − | 0.851285i | ||||||
\(490\) | −3.13334e6 | − | 5.53039e6i | −0.589545 | − | 1.04056i | ||||
\(491\) | −1.95727e6 | −0.366393 | −0.183196 | − | 0.983076i | \(-0.558644\pi\) | ||||
−0.183196 | + | 0.983076i | \(0.558644\pi\) | |||||||
\(492\) | 9.27203e6 | − | 2.08747e6i | 1.72688 | − | 0.388784i | ||||
\(493\) | −457381. | + | 457381.i | −0.0847541 | + | 0.0847541i | ||||
\(494\) | 9.48468e6 | + | 2.74767e6i | 1.74866 | + | 0.506579i | ||||
\(495\) | −26141.3 | − | 2.16886e6i | −0.00479528 | − | 0.397849i | ||||
\(496\) | −3.52069e6 | + | 1.66992e6i | −0.642575 | + | 0.304783i | ||||
\(497\) | −7.77852e6 | + | 7.77852e6i | −1.41256 | + | 1.41256i | ||||
\(498\) | 3.95478e6 | + | 7.18067e6i | 0.714576 | + | 1.29745i | ||||
\(499\) | − | 6.23022e6i | − | 1.12009i | −0.828463 | − | 0.560044i | \(-0.810784\pi\) | ||
0.828463 | − | 0.560044i | \(-0.189216\pi\) | |||||||
\(500\) | 2.81538e6 | − | 4.82945e6i | 0.503631 | − | 0.863919i | ||||
\(501\) | − | 6.12596e6i | − | 1.09039i | ||||||
\(502\) | −5.56993e6 | + | 3.06765e6i | −0.986484 | + | 0.543309i | ||||
\(503\) | 997584. | − | 997584.i | 0.175804 | − | 0.175804i | −0.613720 | − | 0.789524i | \(-0.710328\pi\) |
0.789524 | + | 0.613720i | \(0.210328\pi\) | |||||||
\(504\) | 8.15340e6 | + | 9.20546e6i | 1.42976 | + | 1.61424i | ||||
\(505\) | −128541. | − | 1.06646e7i | −0.0224292 | − | 1.86088i | ||||
\(506\) | −285766. | + | 986435.i | −0.0496174 | + | 0.171274i | ||||
\(507\) | −1.19134e6 | + | 1.19134e6i | −0.205833 | + | 0.205833i | ||||
\(508\) | −3.22013e6 | + | 724970.i | −0.553624 | + | 0.124641i | ||||
\(509\) | −2.76272e6 | −0.472652 | −0.236326 | − | 0.971674i | \(-0.575943\pi\) | ||||
−0.236326 | + | 0.971674i | \(0.575943\pi\) | |||||||
\(510\) | 2.69835e6 | − | 1.52879e6i | 0.459380 | − | 0.260270i | ||||
\(511\) | 6.84072e6i | 1.15891i | ||||||||
\(512\) | 1.07126e6 | − | 5.83410e6i | 0.180600 | − | 0.983557i | ||||
\(513\) | 5.02569e6 | + | 5.02569e6i | 0.843146 | + | 0.843146i | ||||
\(514\) | 896309. | − | 3.09397e6i | 0.149641 | − | 0.516545i | ||||
\(515\) | −3.72806e6 | + | 3.81902e6i | −0.619391 | + | 0.634504i | ||||
\(516\) | −9.38801e6 | − | 5.93764e6i | −1.55221 | − | 0.981725i | ||||
\(517\) | 1.28826e6 | + | 1.28826e6i | 0.211971 | + | 0.211971i | ||||
\(518\) | −5.28279e6 | − | 9.59194e6i | −0.865046 | − | 1.57066i | ||||
\(519\) | −657046. | −0.107072 | ||||||||
\(520\) | −4.51216e6 | − | 4.97233e6i | −0.731773 | − | 0.806402i | ||||
\(521\) | 878624. | 0.141811 | 0.0709053 | − | 0.997483i | \(-0.477411\pi\) | ||||
0.0709053 | + | 0.997483i | \(0.477411\pi\) | |||||||
\(522\) | 1.55458e6 | + | 2.82264e6i | 0.249710 | + | 0.453398i | ||||
\(523\) | 1.66656e6 | + | 1.66656e6i | 0.266420 | + | 0.266420i | 0.827656 | − | 0.561236i | \(-0.189674\pi\) |
−0.561236 | + | 0.827656i | \(0.689674\pi\) | |||||||
\(524\) | −4.68639e6 | + | 7.40965e6i | −0.745607 | + | 1.17888i | ||||
\(525\) | 353438. | + | 1.46597e7i | 0.0559648 | + | 2.32128i | ||||
\(526\) | −2.04539e6 | + | 7.06048e6i | −0.322339 | + | 1.11268i | ||||
\(527\) | −1.08039e6 | − | 1.08039e6i | −0.169455 | − | 0.169455i | ||||
\(528\) | 921742. | − | 2.58508e6i | 0.143888 | − | 0.403542i | ||||
\(529\) | 3.69887e6i | 0.574686i | ||||||||
\(530\) | 156516. | − | 565700.i | 0.0242030 | − | 0.0874775i | ||||
\(531\) | 7.28252e6 | 1.12084 | ||||||||
\(532\) | −3.55226e6 | − | 1.57782e7i | −0.544158 | − | 2.41701i | ||||
\(533\) | 5.70509e6 | − | 5.70509e6i | 0.869850 | − | 0.869850i | ||||
\(534\) | 1.11410e6 | − | 3.84576e6i | 0.169072 | − | 0.583619i | ||||
\(535\) | −1.19116e6 | + | 1.22023e6i | −0.179923 | + | 0.184313i | ||||
\(536\) | −4.62449e6 | − | 5.22120e6i | −0.695267 | − | 0.784979i | ||||
\(537\) | 4.67397e6 | − | 4.67397e6i | 0.699440 | − | 0.699440i | ||||
\(538\) | 4.25863e6 | − | 2.34545e6i | 0.634328 | − | 0.349358i | ||||
\(539\) | − | 2.20559e6i | − | 0.327004i | ||||||
\(540\) | −1.11822e6 | − | 4.70165e6i | −0.165022 | − | 0.693851i | ||||
\(541\) | 9.33731e6i | 1.37160i | 0.727789 | + | 0.685802i | \(0.240548\pi\) | ||||
−0.727789 | + | 0.685802i | \(0.759452\pi\) | |||||||
\(542\) | −365190. | − | 663074.i | −0.0533975 | − | 0.0969536i | ||||
\(543\) | −7.85211e6 | + | 7.85211e6i | −1.14284 | + | 1.14284i | ||||
\(544\) | 2.29579e6 | − | 372643.i | 0.332610 | − | 0.0539878i | ||||
\(545\) | −8.91655e6 | + | 107471.i | −1.28590 | + | 0.0154989i | ||||
\(546\) | 1.69175e7 | + | 4.90093e6i | 2.42859 | + | 0.703554i | ||||
\(547\) | 2.37941e6 | − | 2.37941e6i | 0.340017 | − | 0.340017i | −0.516357 | − | 0.856374i | \(-0.672712\pi\) |
0.856374 | + | 0.516357i | \(0.172712\pi\) | |||||||
\(548\) | −246137. | − | 1.09328e6i | −0.0350127 | − | 0.155517i | ||||
\(549\) | −1.01969e7 | −1.44390 | ||||||||
\(550\) | 1.67604e6 | − | 976459.i | 0.236253 | − | 0.137641i | ||||
\(551\) | − | 4.23814e6i | − | 0.594698i | ||||||
\(552\) | −442553. | + | 7.30209e6i | −0.0618184 | + | 1.02000i | ||||
\(553\) | 7.68849e6 | + | 7.68849e6i | 1.06912 | + | 1.06912i | ||||
\(554\) | 3.92763e6 | + | 1.13782e6i | 0.543696 | + | 0.157506i | ||||
\(555\) | 165819. | + | 1.37575e7i | 0.0228508 | + | 1.89586i | ||||
\(556\) | −2.69989e6 | − | 1.70760e6i | −0.370391 | − | 0.234261i | ||||
\(557\) | −2.39984e6 | − | 2.39984e6i | −0.327752 | − | 0.327752i | 0.523979 | − | 0.851731i | \(-0.324447\pi\) |
−0.851731 | + | 0.523979i | \(0.824447\pi\) | |||||||
\(558\) | −6.66745e6 | + | 3.67212e6i | −0.906513 | + | 0.499265i | ||||
\(559\) | −9.42989e6 | −1.27637 | ||||||||
\(560\) | −3.56832e6 | + | 1.04022e7i | −0.480832 | + | 1.40170i | ||||
\(561\) | 1.07614e6 | 0.144364 | ||||||||
\(562\) | −5.22064e6 | + | 2.87528e6i | −0.697241 | + | 0.384008i | ||||
\(563\) | 7.18484e6 | + | 7.18484e6i | 0.955314 | + | 0.955314i | 0.999043 | − | 0.0437290i | \(-0.0139238\pi\) |
−0.0437290 | + | 0.999043i | \(0.513924\pi\) | |||||||
\(564\) | 1.09680e7 | + | 6.93693e6i | 1.45188 | + | 0.918269i | ||||
\(565\) | −292478. | − | 285512.i | −0.0385454 | − | 0.0376273i | ||||
\(566\) | −1.16636e6 | − | 337891.i | −0.153036 | − | 0.0443338i | ||||
\(567\) | −2.70846e6 | − | 2.70846e6i | −0.353805 | − | 0.353805i | ||||
\(568\) | 1.03463e7 | + | 627049.i | 1.34559 | + | 0.0815512i | ||||
\(569\) | 1.34721e7i | 1.74443i | 0.489122 | + | 0.872215i | \(0.337317\pi\) | ||||
−0.489122 | + | 0.872215i | \(0.662683\pi\) | |||||||
\(570\) | −5.41859e6 | + | 1.95846e7i | −0.698553 | + | 2.52480i | ||||
\(571\) | −8.14236e6 | −1.04511 | −0.522553 | − | 0.852607i | \(-0.675020\pi\) | ||||
−0.522553 | + | 0.852607i | \(0.675020\pi\) | |||||||
\(572\) | −511726. | − | 2.27296e6i | −0.0653954 | − | 0.290470i | ||||
\(573\) | 4.33642e6 | − | 4.33642e6i | 0.551753 | − | 0.551753i | ||||
\(574\) | −1.26926e7 | − | 3.67699e6i | −1.60794 | − | 0.465815i | ||||
\(575\) | −3.56685e6 | + | 3.74309e6i | −0.449899 | + | 0.472128i | ||||
\(576\) | 1.39935e6 | − | 1.15022e7i | 0.175740 | − | 1.44452i | ||||
\(577\) | 4.44335e6 | − | 4.44335e6i | 0.555611 | − | 0.555611i | −0.372444 | − | 0.928055i | \(-0.621480\pi\) |
0.928055 | + | 0.372444i | \(0.121480\pi\) | |||||||
\(578\) | −3.43484e6 | − | 6.23662e6i | −0.427649 | − | 0.776479i | ||||
\(579\) | 415824.i | 0.0515482i | ||||||||
\(580\) | −1.51095e6 | + | 2.45393e6i | −0.186500 | + | 0.302895i | ||||
\(581\) | − | 1.13980e7i | − | 1.40084i | ||||||
\(582\) | 2.93739e6 | − | 1.61778e6i | 0.359463 | − | 0.197975i | ||||
\(583\) | 144015. | − | 144015.i | 0.0175483 | − | 0.0175483i | ||||
\(584\) | 4.82517e6 | − | 4.27372e6i | 0.585437 | − | 0.518530i | ||||
\(585\) | −9.38559e6 | − | 9.16203e6i | −1.13389 | − | 1.10688i | ||||
\(586\) | 2.35158e6 | − | 8.11740e6i | 0.282888 | − | 0.976501i | ||||
\(587\) | 9.00349e6 | − | 9.00349e6i | 1.07849 | − | 1.07849i | 0.0818437 | − | 0.996645i | \(-0.473919\pi\) |
0.996645 | − | 0.0818437i | \(-0.0260808\pi\) | |||||||
\(588\) | −3.45073e6 | − | 1.53273e7i | −0.411592 | − | 1.82819i | ||||
\(589\) | 1.00110e7 | 1.18902 | ||||||||
\(590\) | 3.21042e6 | + | 5.66644e6i | 0.379692 | + | 0.670163i | ||||
\(591\) | − | 134770.i | − | 0.0158717i | ||||||
\(592\) | −3.46536e6 | + | 9.71881e6i | −0.406391 | + | 1.13975i | ||||
\(593\) | −2.64046e6 | − | 2.64046e6i | −0.308349 | − | 0.308349i | 0.535920 | − | 0.844269i | \(-0.319965\pi\) |
−0.844269 | + | 0.535920i | \(0.819965\pi\) | |||||||
\(594\) | 466616. | − | 1.61071e6i | 0.0542617 | − | 0.187306i | ||||
\(595\) | −4.31177e6 | + | 51969.8i | −0.499302 | + | 0.00601809i | ||||
\(596\) | −116882. | + | 184801.i | −0.0134781 | + | 0.0213103i | ||||
\(597\) | −5.15763e6 | − | 5.15763e6i | −0.592262 | − | 0.592262i | ||||
\(598\) | 2.99598e6 | + | 5.43979e6i | 0.342599 | + | 0.622056i | ||||
\(599\) | −8.50368e6 | −0.968367 | −0.484183 | − | 0.874966i | \(-0.660883\pi\) | ||||
−0.484183 | + | 0.874966i | \(0.660883\pi\) | |||||||
\(600\) | 1.01196e7 | − | 9.40790e6i | 1.14758 | − | 1.06688i | ||||
\(601\) | −1.50671e7 | −1.70155 | −0.850774 | − | 0.525532i | \(-0.823866\pi\) | ||||
−0.850774 | + | 0.525532i | \(0.823866\pi\) | |||||||
\(602\) | 7.45091e6 | + | 1.35286e7i | 0.837950 | + | 1.52146i | ||||
\(603\) | −9.63401e6 | − | 9.63401e6i | −1.07898 | − | 1.07898i | ||||
\(604\) | 830590. | + | 525324.i | 0.0926391 | + | 0.0585916i | ||||
\(605\) | −8.32935e6 | + | 100394.i | −0.925172 | + | 0.0111511i | ||||
\(606\) | 7.33525e6 | − | 2.53205e7i | 0.811396 | − | 2.80086i | ||||
\(607\) | 7.08935e6 | + | 7.08935e6i | 0.780971 | + | 0.780971i | 0.979995 | − | 0.199024i | \(-0.0637771\pi\) |
−0.199024 | + | 0.979995i | \(0.563777\pi\) | |||||||
\(608\) | −8.91006e6 | + | 1.23630e7i | −0.977511 | + | 1.35633i | ||||
\(609\) | − | 7.55943e6i | − | 0.825935i | ||||||
\(610\) | −4.49520e6 | − | 7.93409e6i | −0.489130 | − | 0.863322i | ||||
\(611\) | 1.10169e7 | 1.19387 | ||||||||
\(612\) | 4.43239e6 | − | 997894.i | 0.478365 | − | 0.107698i | ||||
\(613\) | 1.16554e7 | − | 1.16554e7i | 1.25279 | − | 1.25279i | 0.298323 | − | 0.954465i | \(-0.403573\pi\) |
0.954465 | − | 0.298323i | \(-0.0964271\pi\) | |||||||
\(614\) | 1.02614e6 | − | 3.54212e6i | 0.109846 | − | 0.379178i | ||||
\(615\) | 1.18807e7 | + | 1.15977e7i | 1.26665 | + | 1.23648i | ||||
\(616\) | −2.85656e6 | + | 2.53010e6i | −0.303313 | + | 0.268649i | ||||
\(617\) | −4.87789e6 | + | 4.87789e6i | −0.515845 | + | 0.515845i | −0.916311 | − | 0.400466i | \(-0.868848\pi\) |
0.400466 | + | 0.916311i | \(0.368848\pi\) | |||||||
\(618\) | −1.15548e7 | + | 6.36385e6i | −1.21700 | + | 0.670268i | ||||
\(619\) | 4.13340e6i | 0.433592i | 0.976217 | + | 0.216796i | \(0.0695606\pi\) | ||||
−0.976217 | + | 0.216796i | \(0.930439\pi\) | |||||||
\(620\) | −5.79650e6 | − | 3.56905e6i | −0.605601 | − | 0.372883i | ||||
\(621\) | 4.46991e6i | 0.465125i | ||||||||
\(622\) | −122288. | − | 222038.i | −0.0126739 | − | 0.0230119i | ||||
\(623\) | −3.93645e6 | + | 3.93645e6i | −0.406336 | + | 0.406336i | ||||
\(624\) | −7.11224e6 | − | 1.49948e7i | −0.731215 | − | 1.54162i | ||||
\(625\) | 9.75428e6 | − | 470615.i | 0.998838 | − | 0.0481910i | ||||
\(626\) | 1.82106e7 | + | 5.27552e6i | 1.85732 | + | 0.538059i | ||||
\(627\) | −4.98579e6 | + | 4.98579e6i | −0.506484 | + | 0.506484i | ||||
\(628\) | 9.00598e6 | − | 2.02758e6i | 0.911238 | − | 0.205153i | ||||
\(629\) | −4.04582e6 | −0.407737 | ||||||||
\(630\) | −5.72839e6 | + | 2.07043e7i | −0.575018 | + | 2.07830i | ||||
\(631\) | 1.71628e7i | 1.71599i | 0.513659 | + | 0.857995i | \(0.328290\pi\) | ||||
−0.513659 | + | 0.857995i | \(0.671710\pi\) | |||||||
\(632\) | 619792. | − | 1.02265e7i | 0.0617239 | − | 1.01844i | ||||
\(633\) | 1.81467e7 | + | 1.81467e7i | 1.80006 | + | 1.80006i | ||||
\(634\) | 1.76530e7 | + | 5.11400e6i | 1.74420 | + | 0.505286i | ||||
\(635\) | −4.12612e6 | − | 4.02785e6i | −0.406077 | − | 0.396404i | ||||
\(636\) | 775480. | − | 1.22611e6i | 0.0760200 | − | 0.120195i | ||||
\(637\) | −9.43087e6 | − | 9.43087e6i | −0.920880 | − | 0.920880i | ||||
\(638\) | −875899. | + | 482404.i | −0.0851927 | + | 0.0469202i | ||||
\(639\) | 2.02476e7 | 1.96165 | ||||||||
\(640\) | 9.56658e6 | − | 3.98179e6i | 0.923224 | − | 0.384263i | ||||
\(641\) | −6.30149e6 | −0.605757 | −0.302878 | − | 0.953029i | \(-0.597948\pi\) | ||||
−0.302878 | + | 0.953029i | \(0.597948\pi\) | |||||||
\(642\) | −3.69191e6 | + | 2.03333e6i | −0.353520 | + | 0.194702i | ||||
\(643\) | 211405. | + | 211405.i | 0.0201645 | + | 0.0201645i | 0.717117 | − | 0.696953i | \(-0.245461\pi\) |
−0.696953 | + | 0.717117i | \(0.745461\pi\) | |||||||
\(644\) | 5.43695e6 | − | 8.59636e6i | 0.516584 | − | 0.816771i | ||||
\(645\) | −233873. | − | 1.94037e7i | −0.0221350 | − | 1.83647i | ||||
\(646\) | −5.73942e6 | − | 1.66269e6i | −0.541111 | − | 0.156758i | ||||
\(647\) | 8.61526e6 | + | 8.61526e6i | 0.809110 | + | 0.809110i | 0.984499 | − | 0.175389i | \(-0.0561184\pi\) |
−0.175389 | + | 0.984499i | \(0.556118\pi\) | |||||||
\(648\) | −218337. | + | 3.60254e6i | −0.0204263 | + | 0.337032i | ||||
\(649\) | 2.25985e6i | 0.210605i | ||||||||
\(650\) | 2.99133e6 | − | 1.13418e7i | 0.277704 | − | 1.05293i | ||||
\(651\) | 1.78564e7 | 1.65135 | ||||||||
\(652\) | 5.75330e6 | − | 1.29528e6i | 0.530027 | − | 0.119328i | ||||
\(653\) | −1.20956e7 | + | 1.20956e7i | −1.11005 | + | 1.11005i | −0.116910 | + | 0.993143i | \(0.537299\pi\) |
−0.993143 | + | 0.116910i | \(0.962701\pi\) | |||||||
\(654\) | −2.11701e7 | − | 6.13289e6i | −1.93544 | − | 0.560688i | ||||
\(655\) | −1.53147e7 | + | 184588.i | −1.39478 | + | 0.0168113i | ||||
\(656\) | 5.33606e6 | + | 1.12500e7i | 0.484129 | + | 1.02069i | ||||
\(657\) | 8.90327e6 | − | 8.90327e6i | 0.804704 | − | 0.804704i | ||||
\(658\) | −8.70488e6 | − | 1.58054e7i | −0.783787 | − | 1.42312i | ||||
\(659\) | 1.46296e6i | 0.131226i | 0.997845 | + | 0.0656128i | \(0.0209002\pi\) | ||||
−0.997845 | + | 0.0656128i | \(0.979100\pi\) | |||||||
\(660\) | 4.66432e6 | − | 1.10934e6i | 0.416801 | − | 0.0991299i | ||||
\(661\) | 7.14270e6i | 0.635856i | 0.948115 | + | 0.317928i | \(0.102987\pi\) | ||||
−0.948115 | + | 0.317928i | \(0.897013\pi\) | |||||||
\(662\) | 1.66866e6 | − | 919019.i | 0.147987 | − | 0.0815041i | ||||
\(663\) | 4.60144e6 | − | 4.60144e6i | 0.406546 | − | 0.406546i | ||||
\(664\) | −8.03972e6 | + | 7.12089e6i | −0.707654 | + | 0.626779i | ||||
\(665\) | 1.97359e7 | − | 2.02174e7i | 1.73062 | − | 1.77285i | ||||
\(666\) | −5.60840e6 | + | 1.93596e7i | −0.489952 | + | 1.69126i | ||||
\(667\) | 1.88472e6 | − | 1.88472e6i | 0.164034 | − | 0.164034i | ||||
\(668\) | 7.82967e6 | − | 1.76275e6i | 0.678895 | − | 0.152844i | ||||
\(669\) | 1.40265e7 | 1.21167 | ||||||||
\(670\) | 3.24906e6 | − | 1.17432e7i | 0.279621 | − | 1.01064i | ||||
\(671\) | − | 3.16422e6i | − | 0.271307i | ||||||
\(672\) | −1.58926e7 | + | 2.20515e7i | −1.35760 | + | 1.88371i | ||||
\(673\) | −1.41251e7 | − | 1.41251e7i | −1.20214 | − | 1.20214i | −0.973515 | − | 0.228624i | \(-0.926578\pi\) |
−0.228624 | − | 0.973515i | \(-0.573422\pi\) | |||||||
\(674\) | −2.26809e6 | + | 7.82922e6i | −0.192314 | + | 0.663849i | ||||
\(675\) | 5.82417e6 | − | 6.11194e6i | 0.492010 | − | 0.516321i | ||||
\(676\) | −1.86547e6 | − | 1.17986e6i | −0.157008 | − | 0.0993031i | ||||
\(677\) | 1.64648e7 | + | 1.64648e7i | 1.38065 | + | 1.38065i | 0.843456 | + | 0.537199i | \(0.180518\pi\) |
0.537199 | + | 0.843456i | \(0.319482\pi\) | |||||||
\(678\) | −487372. | − | 884919.i | −0.0407180 | − | 0.0739315i | ||||
\(679\) | −4.66259e6 | −0.388108 | ||||||||
\(680\) | 2.73042e6 | + | 3.00888e6i | 0.226442 | + | 0.249536i | ||||
\(681\) | −3.66635e7 | −3.02947 | ||||||||
\(682\) | −1.13950e6 | − | 2.06899e6i | −0.0938110 | − | 0.170332i | ||||
\(683\) | 4.52109e6 | + | 4.52109e6i | 0.370844 | + | 0.370844i | 0.867785 | − | 0.496941i | \(-0.165543\pi\) |
−0.496941 | + | 0.867785i | \(0.665543\pi\) | |||||||
\(684\) | −1.59122e7 | + | 2.51588e7i | −1.30044 | + | 2.05613i | ||||
\(685\) | 1.36751e6 | − | 1.40087e6i | 0.111353 | − | 0.114070i | ||||
\(686\) | −995942. | + | 3.43789e6i | −0.0808023 | + | 0.278921i | ||||
\(687\) | −1.32523e7 | − | 1.32523e7i | −1.07127 | − | 1.07127i | ||||
\(688\) | 4.88758e6 | − | 1.37075e7i | 0.393661 | − | 1.10405i | ||||
\(689\) | − | 1.23158e6i | − | 0.0988359i | ||||||
\(690\) | −1.11190e7 | + | 6.29968e6i | −0.889088 | + | 0.503728i | ||||
\(691\) | −8.39292e6 | −0.668679 | −0.334340 | − | 0.942453i | \(-0.608513\pi\) | ||||
−0.334340 | + | 0.942453i | \(0.608513\pi\) | |||||||
\(692\) | −189065. | − | 839780.i | −0.0150088 | − | 0.0666654i | ||||
\(693\) | −5.27085e6 | + | 5.27085e6i | −0.416915 | + | 0.416915i | ||||
\(694\) | 2.15844e6 | − | 7.45071e6i | 0.170114 | − | 0.587217i | ||||
\(695\) | −67259.3 | − | 5.58030e6i | −0.00528191 | − | 0.438223i | ||||
\(696\) | −5.33212e6 | + | 4.72273e6i | −0.417231 | + | 0.369547i | ||||
\(697\) | −3.45229e6 | + | 3.45229e6i | −0.269169 | + | 0.269169i | ||||
\(698\) | −165814. | + | 91322.8i | −0.0128820 | + | 0.00709481i | ||||
\(699\) | − | 7.86787e6i | − | 0.609066i | ||||||
\(700\) | −1.86351e7 | + | 4.67007e6i | −1.43743 | + | 0.360228i | ||||
\(701\) | − | 2.06180e7i | − | 1.58472i | −0.610055 | − | 0.792359i | \(-0.708852\pi\) | ||
0.610055 | − | 0.792359i | \(-0.291148\pi\) | |||||||
\(702\) | −4.89202e6 | − | 8.88242e6i | −0.374667 | − | 0.680281i | ||||
\(703\) | 1.87445e7 | − | 1.87445e7i | 1.43049 | − | 1.43049i | ||||
\(704\) | 3.56926e6 | + | 434234.i | 0.271423 | + | 0.0330211i | ||||
\(705\) | 273233. | + | 2.26693e7i | 0.0207043 | + | 1.71777i | ||||
\(706\) | 8.75827e6 | + | 2.53723e6i | 0.661312 | + | 0.191579i | ||||
\(707\) | −2.59176e7 | + | 2.59176e7i | −1.95005 | + | 1.95005i | ||||
\(708\) | 3.53562e6 | + | 1.57043e7i | 0.265083 | + | 1.17743i | ||||
\(709\) | 7.89378e6 | 0.589752 | 0.294876 | − | 0.955535i | \(-0.404722\pi\) | ||||
0.294876 | + | 0.955535i | \(0.404722\pi\) | |||||||
\(710\) | 8.92596e6 | + | 1.57545e7i | 0.664521 | + | 1.17289i | ||||
\(711\) | − | 2.00133e7i | − | 1.48472i | ||||||
\(712\) | 5.23590e6 | + | 317329.i | 0.387072 | + | 0.0234590i | ||||
\(713\) | 4.45196e6 | + | 4.45196e6i | 0.327965 | + | 0.327965i | ||||
\(714\) | −1.02372e7 | − | 2.96568e6i | −0.751513 | − | 0.217710i | ||||
\(715\) | 2.84309e6 | − | 2.91246e6i | 0.207982 | − | 0.213056i | ||||
\(716\) | 7.31880e6 | + | 4.62893e6i | 0.533528 | + | 0.337441i | ||||
\(717\) | 3.54512e6 | + | 3.54512e6i | 0.257533 | + | 0.257533i | ||||
\(718\) | −1.80102e7 | + | 9.91919e6i | −1.30379 | + | 0.718067i | ||||
\(719\) | −8.19958e6 | −0.591520 | −0.295760 | − | 0.955262i | \(-0.595573\pi\) | ||||
−0.295760 | + | 0.955262i | \(0.595573\pi\) | |||||||
\(720\) | 1.81828e7 | − | 8.89436e6i | 1.30716 | − | 0.639416i | ||||
\(721\) | 1.83412e7 | 1.31398 | ||||||||
\(722\) | 2.20251e7 | − | 1.21304e7i | 1.57245 | − | 0.866029i | ||||
\(723\) | −2.54474e7 | − | 2.54474e7i | −1.81050 | − | 1.81050i | ||||
\(724\) | −1.22953e7 | − | 7.77644e6i | −0.871754 | − | 0.551359i | ||||
\(725\) | −5.03283e6 | + | 121339.i | −0.355604 | + | 0.00857344i | ||||
\(726\) | −1.97759e7 | − | 5.72901e6i | −1.39250 | − | 0.403402i | ||||
\(727\) | −5.89054e6 | − | 5.89054e6i | −0.413351 | − | 0.413351i | 0.469553 | − | 0.882904i | \(-0.344415\pi\) |
−0.882904 | + | 0.469553i | \(0.844415\pi\) | |||||||
\(728\) | −1.39593e6 | + | 2.30328e7i | −0.0976192 | + | 1.61071i | ||||
\(729\) | 2.30854e7i | 1.60886i | ||||||||
\(730\) | 1.08524e7 | + | 3.00262e6i | 0.753738 | + | 0.208542i | ||||
\(731\) | 5.70626e6 | 0.394965 | ||||||||
\(732\) | −4.95053e6 | − | 2.19890e7i | −0.341487 | − | 1.51680i | ||||
\(733\) | −3.20192e6 | + | 3.20192e6i | −0.220115 | + | 0.220115i | −0.808547 | − | 0.588432i | \(-0.799746\pi\) |
0.588432 | + | 0.808547i | \(0.299746\pi\) | |||||||
\(734\) | 2.41955e7 | + | 7.00934e6i | 1.65766 | + | 0.480216i | ||||
\(735\) | 1.91718e7 | − | 1.96396e7i | 1.30902 | − | 1.34096i | ||||
\(736\) | −9.46025e6 | + | 1.53555e6i | −0.643736 | + | 0.104488i | ||||
\(737\) | 2.98955e6 | − | 2.98955e6i | 0.202739 | − | 0.202739i | ||||
\(738\) | 1.17339e7 | + | 2.13052e7i | 0.793052 | + | 1.43994i | ||||
\(739\) | − | 1.34840e7i | − | 0.908253i | −0.890937 | − | 0.454127i | \(-0.849951\pi\) | ||
0.890937 | − | 0.454127i | \(-0.150049\pi\) | |||||||
\(740\) | −1.75359e7 | + | 4.17065e6i | −1.17720 | + | 0.279978i | ||||
\(741\) | 4.26374e7i | 2.85263i | ||||||||
\(742\) | −1.76689e6 | + | 973118.i | −0.117815 | + | 0.0648867i | ||||
\(743\) | −1.39605e7 | + | 1.39605e7i | −0.927746 | + | 0.927746i | −0.997560 | − | 0.0698140i | \(-0.977759\pi\) |
0.0698140 | + | 0.997560i | \(0.477759\pi\) | |||||||
\(744\) | −1.11557e7 | − | 1.25952e7i | −0.738864 | − | 0.834202i | ||||
\(745\) | −381958. | + | 4603.74i | −0.0252130 | + | 0.000303893i | ||||
\(746\) | 2.08243e6 | − | 7.18832e6i | 0.137001 | − | 0.472912i | ||||
\(747\) | −1.48347e7 | + | 1.48347e7i | −0.972694 | + | 0.972694i | ||||
\(748\) | 309658. | + | 1.37542e6i | 0.0202362 | + | 0.0898840i | ||||
\(749\) | 5.86026e6 | 0.381692 | ||||||||
\(750\) | 2.34120e7 | + | 5.87391e6i | 1.51979 | + | 0.381307i | ||||
\(751\) | − | 1.52400e7i | − | 0.986017i | −0.870025 | − | 0.493008i | \(-0.835897\pi\) | ||
0.870025 | − | 0.493008i | \(-0.164103\pi\) | |||||||
\(752\) | −5.71015e6 | + | 1.60144e7i | −0.368216 | + | 1.03268i | ||||
\(753\) | −1.94147e7 | − | 1.94147e7i | −1.24779 | − | 1.24779i | ||||
\(754\) | −1.68254e6 | + | 5.80796e6i | −0.107780 | + | 0.372045i | ||||
\(755\) | 20691.5 | + | 1.71671e6i | 0.00132107 | + | 0.109605i | ||||
\(756\) | −8.87779e6 | + | 1.40367e7i | −0.564937 | + | 0.893222i | ||||
\(757\) | −2.63351e6 | − | 2.63351e6i | −0.167030 | − | 0.167030i | 0.618642 | − | 0.785673i | \(-0.287683\pi\) |
−0.785673 | + | 0.618642i | \(0.787683\pi\) | |||||||
\(758\) | −3.54056e6 | − | 6.42858e6i | −0.223820 | − | 0.406389i | ||||
\(759\) | −4.43442e6 | −0.279404 | ||||||||
\(760\) | −2.65905e7 | − | 1.29012e6i | −1.66991 | − | 0.0810204i | ||||
\(761\) | 1.46715e7 | 0.918357 | 0.459179 | − | 0.888344i | \(-0.348144\pi\) | ||||
0.459179 | + | 0.888344i | \(0.348144\pi\) | |||||||
\(762\) | −6.87558e6 | − | 1.24840e7i | −0.428965 | − | 0.778870i | ||||
\(763\) | 2.16693e7 | + | 2.16693e7i | 1.34752 | + | 1.34752i | ||||
\(764\) | 6.79024e6 | + | 4.29463e6i | 0.420874 | + | 0.266190i | ||||
\(765\) | 5.67946e6 | + | 5.54418e6i | 0.350876 | + | 0.342518i | ||||
\(766\) | −5.30256e6 | + | 1.83039e7i | −0.326523 | + | 1.12712i | ||||
\(767\) | 9.66287e6 | + | 9.66287e6i | 0.593086 | + | 0.593086i | ||||
\(768\) | 2.54831e7 | − | 2.56662e6i | 1.55901 | − | 0.157021i | ||||
\(769\) | 5.83333e6i | 0.355714i | 0.984056 | + | 0.177857i | \(0.0569164\pi\) | ||||
−0.984056 | + | 0.177857i | \(0.943084\pi\) | |||||||
\(770\) | −6.42478e6 | − | 1.77759e6i | −0.390509 | − | 0.108045i | ||||
\(771\) | 1.39086e7 | 0.842651 | ||||||||
\(772\) | −531471. | + | 119654.i | −0.0320949 | + | 0.00722574i | ||||
\(773\) | −1.08851e7 | + | 1.08851e7i | −0.655216 | + | 0.655216i | −0.954244 | − | 0.299028i | \(-0.903337\pi\) |
0.299028 | + | 0.954244i | \(0.403337\pi\) | |||||||
\(774\) | 7.91015e6 | − | 2.73050e7i | 0.474605 | − | 1.63829i | ||||
\(775\) | −286618. | − | 1.18882e7i | −0.0171415 | − | 0.710986i | ||||
\(776\) | 2.91294e6 | + | 3.28880e6i | 0.173651 | + | 0.196058i | ||||
\(777\) | 3.34339e7 | − | 3.34339e7i | 1.98671 | − | 1.98671i | ||||
\(778\) | 1.82623e7 | − | 1.00580e7i | 1.08170 | − | 0.595748i | ||||
\(779\) | − | 3.19893e7i | − | 1.88869i | ||||||
\(780\) | 1.52007e7 | − | 2.46876e7i | 0.894598 | − | 1.45292i | ||||
\(781\) | 6.28308e6i | 0.368591i | ||||||||
\(782\) | −1.81294e6 | − | 3.29175e6i | −0.106015 | − | 0.192491i | ||||
\(783\) | −3.07749e6 | + | 3.07749e6i | −0.179388 | + | 0.179388i | ||||
\(784\) | 1.85970e7 | − | 8.82084e6i | 1.08057 | − | 0.512531i | ||||
\(785\) | 1.15398e7 | + | 1.12650e7i | 0.668382 | + | 0.652462i | ||||
\(786\) | −3.63609e7 | − | 1.05336e7i | −2.09932 | − | 0.608163i | ||||
\(787\) | 3.71537e6 | − | 3.71537e6i | 0.213828 | − | 0.213828i | −0.592063 | − | 0.805891i | \(-0.701686\pi\) |
0.805891 | + | 0.592063i | \(0.201686\pi\) | |||||||
\(788\) | 172251. | − | 38780.1i | 0.00988205 | − | 0.00222481i | ||||
\(789\) | −3.17397e7 | −1.81514 | ||||||||
\(790\) | 1.55721e7 | − | 8.82265e6i | 0.887728 | − | 0.502958i | ||||
\(791\) | 1.40465e6i | 0.0798230i | ||||||||
\(792\) | 7.01079e6 | + | 424898.i | 0.397149 | + | 0.0240698i | ||||
\(793\) | −1.35299e7 | − | 1.35299e7i | −0.764030 | − | 0.764030i | ||||
\(794\) | −3.13869e7 | − | 9.09265e6i | −1.76684 | − | 0.511846i | ||||
\(795\) | 2.53420e6 | − | 30544.7i | 0.142208 | − | 0.00171403i | ||||
\(796\) | 5.10792e6 | − | 8.07614e6i | 0.285734 | − | 0.451774i | ||||
\(797\) | 8.47263e6 | + | 8.47263e6i | 0.472468 | + | 0.472468i | 0.902712 | − | 0.430244i | \(-0.141573\pi\) |
−0.430244 | + | 0.902712i | \(0.641573\pi\) | |||||||
\(798\) | 6.11697e7 | − | 3.36894e7i | 3.40039 | − | 1.87278i | ||||
\(799\) | −6.66661e6 | −0.369435 | ||||||||
\(800\) | 1.49363e7 | + | 1.02268e7i | 0.825120 | + | 0.564957i | ||||
\(801\) | 1.02467e7 | 0.564289 | ||||||||
\(802\) | −1.38815e7 | + | 7.64528e6i | −0.762080 | + | 0.419718i | ||||
\(803\) | 2.76279e6 | + | 2.76279e6i | 0.151202 | + | 0.151202i | ||||
\(804\) | 1.60979e7 | − | 2.54524e7i | 0.878273 | − | 1.38864i | ||||
\(805\) | 1.77675e7 | − | 214151.i | 0.966353 | − | 0.0116475i | ||||
\(806\) | −1.37191e7 | − | 3.97438e6i | −0.743857 | − | 0.215492i | ||||
\(807\) | 1.48440e7 | + | 1.48440e7i | 0.802356 | + | 0.802356i | ||||
\(808\) | 3.44732e7 | + | 2.08929e6i | 1.85760 | + | 0.112583i | ||||
\(809\) | − | 7.50267e6i | − | 0.403036i | −0.979485 | − | 0.201518i | \(-0.935412\pi\) | ||
0.979485 | − | 0.201518i | \(-0.0645875\pi\) | |||||||
\(810\) | −5.48566e6 | + | 3.10799e6i | −0.293776 | + | 0.166444i | ||||
\(811\) | 143609. | 0.00766708 | 0.00383354 | − | 0.999993i | \(-0.498780\pi\) | ||||
0.00383354 | + | 0.999993i | \(0.498780\pi\) | |||||||
\(812\) | 9.66182e6 | − | 2.17523e6i | 0.514243 | − | 0.115775i | ||||
\(813\) | 2.31123e6 | − | 2.31123e6i | 0.122636 | − | 0.122636i | ||||
\(814\) | −6.00752e6 | − | 1.74035e6i | −0.317785 | − | 0.0920611i | ||||
\(815\) | 7.37200e6 | + | 7.19640e6i | 0.388769 | + | 0.379508i | ||||
\(816\) | 4.30380e6 | + | 9.07372e6i | 0.226270 | + | 0.477046i | ||||
\(817\) | −2.64374e7 | + | 2.64374e7i | −1.38568 | + | 1.38568i | ||||
\(818\) | −1.13104e7 | − | 2.05362e7i | −0.591008 | − | 1.07309i | ||||
\(819\) | 4.50751e7i | 2.34816i | ||||||||
\(820\) | −1.14046e7 | + | 1.85222e7i | −0.592303 | + | 0.961961i | ||||
\(821\) | 3.34075e6i | 0.172976i | 0.996253 | + | 0.0864880i | \(0.0275644\pi\) | ||||
−0.996253 | + | 0.0864880i | \(0.972436\pi\) | |||||||
\(822\) | 4.23847e6 | − | 2.33435e6i | 0.218791 | − | 0.120500i | ||||
\(823\) | −7.60023e6 | + | 7.60023e6i | −0.391136 | + | 0.391136i | −0.875092 | − | 0.483956i | \(-0.839199\pi\) |
0.483956 | + | 0.875092i | \(0.339199\pi\) | |||||||
\(824\) | −1.14586e7 | − | 1.29372e7i | −0.587914 | − | 0.663775i | ||||
\(825\) | 6.06341e6 | + | 5.77793e6i | 0.310158 | + | 0.295554i | ||||
\(826\) | 6.22783e6 | − | 2.14978e7i | 0.317604 | − | 1.09634i | ||||
\(827\) | −1.26418e7 | + | 1.26418e7i | −0.642755 | + | 0.642755i | −0.951232 | − | 0.308477i | \(-0.900181\pi\) |
0.308477 | + | 0.951232i | \(0.400181\pi\) | |||||||
\(828\) | −1.82645e7 | + | 4.11201e6i | −0.925832 | + | 0.208439i | ||||
\(829\) | −3.02538e7 | −1.52895 | −0.764475 | − | 0.644653i | \(-0.777002\pi\) | ||||
−0.764475 | + | 0.644653i | \(0.777002\pi\) | |||||||
\(830\) | −1.80824e7 | − | 5.00298e6i | −0.911089 | − | 0.252077i | ||||
\(831\) | 1.76563e7i | 0.886944i | ||||||||
\(832\) | 1.71185e7 | − | 1.34050e7i | 0.857348 | − | 0.671365i | ||||
\(833\) | 5.70686e6 | + | 5.70686e6i | 0.284960 | + | 0.284960i | ||||
\(834\) | 3.83818e6 | − | 1.32490e7i | 0.191078 | − | 0.659581i | ||||
\(835\) | 1.00326e7 | + | 9.79360e6i | 0.497962 | + | 0.486101i | ||||
\(836\) | −7.80707e6 | − | 4.93775e6i | −0.386343 | − | 0.244350i | ||||
\(837\) | −7.26943e6 | − | 7.26943e6i | −0.358663 | − | 0.358663i | ||||
\(838\) | 4.31826e6 | + | 7.84064e6i | 0.212421 | + | 0.385693i | ||||
\(839\) | −2.10849e6 | −0.103411 | −0.0517055 | − | 0.998662i | \(-0.516466\pi\) | ||||
−0.0517055 | + | 0.998662i | \(0.516466\pi\) | |||||||
\(840\) | −4.74286e7 | − | 2.30114e6i | −2.31922 | − | 0.112524i | ||||
\(841\) | −1.79159e7 | −0.873472 | ||||||||
\(842\) | −1.21174e7 | − | 2.20014e7i | −0.589017 | − | 1.06947i | ||||
\(843\) | −1.81972e7 | − | 1.81972e7i | −0.881933 | − | 0.881933i | ||||
\(844\) | −1.79718e7 | + | 2.84152e7i | −0.868431 | + | 1.37308i | ||||
\(845\) | −46472.4 | − | 3.85567e6i | −0.00223899 | − | 0.185762i | ||||
\(846\) | −9.24141e6 | + | 3.19004e7i | −0.443928 | + | 1.53239i | ||||
\(847\) | 2.02423e7 | + | 2.02423e7i | 0.969508 | + | 0.969508i | ||||
\(848\) | 1.79026e6 | + | 638338.i | 0.0854920 | + | 0.0304832i | ||||
\(849\) | − | 5.24327e6i | − | 0.249651i | ||||||
\(850\) | −1.81013e6 | + | 6.86321e6i | −0.0859336 | + | 0.325822i | ||||
\(851\) | 1.66715e7 | 0.789136 | ||||||||
\(852\) | 9.83010e6 | + | 4.36628e7i | 0.463937 | + | 2.06069i | ||||
\(853\) | −1.45964e7 | + | 1.45964e7i | −0.686868 | + | 0.686868i | −0.961538 | − | 0.274671i | \(-0.911431\pi\) |
0.274671 | + | 0.961538i | \(0.411431\pi\) | |||||||
\(854\) | −8.72014e6 | + | 3.01010e7i | −0.409147 | + | 1.41233i | ||||
\(855\) | −5.19997e7 | + | 626752.i | −2.43268 | + | 0.0293211i | ||||
\(856\) | −3.66118e6 | − | 4.13359e6i | −0.170780 | − | 0.192816i | ||||
\(857\) | −2.56434e7 | + | 2.56434e7i | −1.19268 | + | 1.19268i | −0.216366 | + | 0.976312i | \(0.569420\pi\) |
−0.976312 | + | 0.216366i | \(0.930580\pi\) | |||||||
\(858\) | 8.81190e6 | − | 4.85318e6i | 0.408650 | − | 0.225065i | ||||
\(859\) | − | 8.86065e6i | − | 0.409716i | −0.978792 | − | 0.204858i | \(-0.934327\pi\) | ||
0.978792 | − | 0.204858i | \(-0.0656732\pi\) | |||||||
\(860\) | 2.47328e7 | − | 5.88233e6i | 1.14032 | − | 0.271208i | ||||
\(861\) | − | 5.70583e7i | − | 2.62308i | ||||||
\(862\) | 4.45012e6 | + | 8.08007e6i | 0.203988 | + | 0.370379i | ||||
\(863\) | 1.69276e7 | − | 1.69276e7i | 0.773690 | − | 0.773690i | −0.205059 | − | 0.978750i | \(-0.565739\pi\) |
0.978750 | + | 0.205059i | \(0.0657387\pi\) | |||||||
\(864\) | 1.54473e7 | − | 2.50733e6i | 0.703991 | − | 0.114269i | ||||
\(865\) | 1.05042e6 | − | 1.07605e6i | 0.0477336 | − | 0.0488983i | ||||
\(866\) | −1.90279e6 | − | 551232.i | −0.0862178 | − | 0.0249769i | ||||
\(867\) | 2.17385e7 | − | 2.17385e7i | 0.982161 | − | 0.982161i | ||||
\(868\) | 5.13817e6 | + | 2.28225e7i | 0.231478 | + | 1.02817i | ||||
\(869\) | 6.21036e6 | 0.278976 | ||||||||
\(870\) | −1.19926e7 | − | 3.31808e6i | −0.537176 | − | 0.148624i | ||||
\(871\) | − | 2.55659e7i | − | 1.14187i | ||||||
\(872\) | 1.74683e6 | − | 2.88225e7i | 0.0777963 | − | 1.28363i | ||||
\(873\) | 6.06841e6 | + | 6.06841e6i | 0.269488 | + | 0.269488i | ||||
\(874\) | 2.36503e7 | + | 6.85140e6i | 1.04727 | + | 0.303390i | ||||
\(875\) | −2.45734e7 | − | 2.28577e7i | −1.08504 | − | 1.00928i | ||||
\(876\) | 2.35218e7 | + | 1.48769e7i | 1.03565 | + | 0.655015i | ||||
\(877\) | −2.44921e7 | − | 2.44921e7i | −1.07529 | − | 1.07529i | −0.996925 | − | 0.0783670i | \(-0.975029\pi\) |
−0.0783670 | − | 0.996925i | \(-0.524971\pi\) | |||||||
\(878\) | −2.48291e7 | + | 1.36747e7i | −1.08699 | + | 0.598663i | ||||
\(879\) | 3.64909e7 | 1.59299 | ||||||||
\(880\) | 2.76002e6 | + | 5.64232e6i | 0.120145 | + | 0.245613i | ||||
\(881\) | 2.83155e7 | 1.22909 | 0.614546 | − | 0.788881i | \(-0.289339\pi\) | ||||
0.614546 | + | 0.788881i | \(0.289339\pi\) | |||||||
\(882\) | 3.52188e7 | − | 1.93969e7i | 1.52442 | − | 0.839577i | ||||
\(883\) | −6.52387e6 | − | 6.52387e6i | −0.281581 | − | 0.281581i | 0.552158 | − | 0.833739i | \(-0.313804\pi\) |
−0.833739 | + | 0.552158i | \(0.813804\pi\) | |||||||
\(884\) | 7.20523e6 | + | 4.55710e6i | 0.310111 | + | 0.196136i | ||||
\(885\) | −1.96434e7 | + | 2.01227e7i | −0.843062 | + | 0.863632i | ||||
\(886\) | 3.52983e7 | + | 1.02258e7i | 1.51067 | + | 0.437634i | ||||
\(887\) | −1.30545e7 | − | 1.30545e7i | −0.557122 | − | 0.557122i | 0.371365 | − | 0.928487i | \(-0.378890\pi\) |
−0.928487 | + | 0.371365i | \(0.878890\pi\) | |||||||
\(888\) | −4.44707e7 | − | 2.69521e6i | −1.89253 | − | 0.114699i | ||||
\(889\) | 1.98161e7i | 0.840937i | ||||||||
\(890\) | 4.51713e6 | + | 7.97281e6i | 0.191156 | + | 0.337393i | ||||
\(891\) | −2.18775e6 | −0.0923217 | ||||||||
\(892\) | 4.03613e6 | + | 1.79275e7i | 0.169845 | + | 0.754410i | ||||
\(893\) | 3.08868e7 | − | 3.08868e7i | 1.29612 | − | 1.29612i | ||||
\(894\) | −906863. | − | 262715.i | −0.0379488 | − | 0.0109936i | ||||
\(895\) | 182325. | + | 1.51269e7i | 0.00760831 | + | 0.631238i | ||||
\(896\) | −3.27574e7 | − | 1.39672e7i | −1.36314 | − | 0.581219i | ||||
\(897\) | −1.89611e7 | + | 1.89611e7i | −0.786832 | + | 0.786832i | ||||
\(898\) | 1.41871e7 | + | 2.57595e7i | 0.587088 | + | 1.06597i | ||||
\(899\) | 6.13027e6i | 0.252977i | ||||||||
\(900\) | 3.03319e7 | + | 1.81756e7i | 1.24823 | + | 0.747967i | ||||
\(901\) | 745261.i | 0.0305841i | ||||||||
\(902\) | −6.61125e6 | + | 3.64117e6i | −0.270562 | + | 0.149013i | ||||
\(903\) | −4.71556e7 | + | 4.71556e7i | −1.92448 | + | 1.92448i | ||||
\(904\) | 990786. | − | 877552.i | 0.0403235 | − | 0.0357151i | ||||
\(905\) | −306300. | − | 2.54127e7i | −0.0124315 | − | 1.03141i | ||||
\(906\) | −1.18077e6 | + | 4.07590e6i | −0.0477909 | + | 0.164969i | ||||
\(907\) | −5.00920e6 | + | 5.00920e6i | −0.202185 | + | 0.202185i | −0.800936 | − | 0.598750i | \(-0.795664\pi\) |
0.598750 | + | 0.800936i | \(0.295664\pi\) | |||||||
\(908\) | −1.05499e7 | − | 4.68602e7i | −0.424654 | − | 1.88621i | ||||
\(909\) | 6.74641e7 | 2.70809 | ||||||||
\(910\) | −3.50724e7 | + | 1.98709e7i | −1.40398 | + | 0.795452i | ||||
\(911\) | − | 2.24129e7i | − | 0.894750i | −0.894346 | − | 0.447375i | \(-0.852359\pi\) | ||
0.894346 | − | 0.447375i | \(-0.147641\pi\) | |||||||
\(912\) | −6.19787e7 | − | 2.20993e7i | −2.46749 | − | 0.879815i | ||||
\(913\) | −4.60337e6 | − | 4.60337e6i | −0.182768 | − | 0.182768i | ||||
\(914\) | −1.03698e7 | + | 3.57953e7i | −0.410585 | + | 1.41730i | ||||
\(915\) | 2.75045e7 | − | 2.81757e7i | 1.08605 | − | 1.11255i | ||||
\(916\) | 1.31246e7 | − | 2.07513e7i | 0.516828 | − | 0.817158i | ||||
\(917\) | 3.72184e7 | + | 3.72184e7i | 1.46162 | + | 1.46162i | ||||
\(918\) | 2.96029e6 | + | 5.37498e6i | 0.115938 | + | 0.210509i | ||||
\(919\) | 2.13486e7 | 0.833835 | 0.416917 | − | 0.908944i | \(-0.363110\pi\) | ||||
0.416917 | + | 0.908944i | \(0.363110\pi\) | |||||||
\(920\) | −1.12512e7 | − | 1.23987e7i | −0.438258 | − | 0.482953i | ||||
\(921\) | 1.59233e7 | 0.618562 | ||||||||
\(922\) | 2.91772e6 | + | 5.29769e6i | 0.113036 | + | 0.205239i | ||||
\(923\) | 2.68658e7 | + | 2.68658e7i | 1.03799 | + | 1.03799i | ||||
\(924\) | −1.39252e7 | − | 8.80730e6i | −0.536565 | − | 0.339362i | ||||
\(925\) | −2.27959e7 | − | 2.17226e7i | −0.875996 | − | 0.834751i | ||||
\(926\) | 5.29972e6 | − | 1.82941e7i | 0.203107 | − | 0.701105i | ||||
\(927\) | −2.38713e7 | − | 2.38713e7i | −0.912381 | − | 0.912381i | ||||
\(928\) | −7.57051e6 | − | 5.45609e6i | −0.288573 | − | 0.207975i | ||||
\(929\) | − | 3.61549e7i | − | 1.37445i | −0.726446 | − | 0.687223i | \(-0.758829\pi\) | ||
0.726446 | − | 0.687223i | \(-0.241171\pi\) | |||||||
\(930\) | 7.83774e6 | − | 2.83282e7i | 0.297155 | − | 1.07402i | ||||
\(931\) | −5.28803e7 | −1.99949 | ||||||||
\(932\) | 1.00560e7 | − | 2.26398e6i | 0.379216 | − | 0.0853755i | ||||
\(933\) | 773943. | − | 773943.i | 0.0291075 | − | 0.0291075i | ||||
\(934\) | −3.98042e6 | + | 1.37400e7i | −0.149301 | + | 0.515370i | ||||
\(935\) | −1.72042e6 | + | 1.76240e6i | −0.0643585 | + | 0.0659289i | ||||
\(936\) | 3.17942e7 | − | 2.81605e7i | 1.18620 | − | 1.05063i | ||||
\(937\) | 2.26100e7 | − | 2.26100e7i | 0.841303 | − | 0.841303i | −0.147726 | − | 0.989028i | \(-0.547195\pi\) |
0.989028 | + | 0.147726i | \(0.0471953\pi\) | |||||||
\(938\) | −3.66781e7 | + | 2.02006e7i | −1.36113 | + | 0.749648i | ||||
\(939\) | 8.18637e7i | 3.02990i | ||||||||
\(940\) | −2.88953e7 | + | 6.87231e6i | −1.06661 | + | 0.253678i | ||||
\(941\) | 2.83736e7i | 1.04458i | 0.852769 | + | 0.522288i | \(0.174922\pi\) | ||||
−0.852769 | + | 0.522288i | \(0.825078\pi\) | |||||||
\(942\) | 1.92294e7 | + | 3.49148e7i | 0.706056 | + | 1.28198i | ||||
\(943\) | 1.42258e7 | − | 1.42258e7i | 0.520952 | − | 0.520952i | ||||
\(944\) | −1.90545e7 | + | 9.03784e6i | −0.695934 | + | 0.330092i | ||||
\(945\) | −2.90118e7 | + | 349679.i | −1.05681 | + | 0.0127377i | ||||
\(946\) | 8.47306e6 | + | 2.45461e6i | 0.307831 | + | 0.0891774i | ||||
\(947\) | 2.11646e7 | − | 2.11646e7i | 0.766894 | − | 0.766894i | −0.210665 | − | 0.977558i | \(-0.567563\pi\) |
0.977558 | + | 0.210665i | \(0.0675629\pi\) | |||||||
\(948\) | 4.31575e7 | − | 9.71634e6i | 1.55968 | − | 0.351141i | ||||
\(949\) | 2.36268e7 | 0.851606 | ||||||||
\(950\) | −2.34112e7 | − | 4.01840e7i | −0.841616 | − | 1.44459i | ||||
\(951\) | 7.93573e7i | 2.84535i | ||||||||
\(952\) | 844713. | − | 1.39377e7i | 0.0302076 | − | 0.498424i | ||||
\(953\) | −2.38547e7 | − | 2.38547e7i | −0.850827 | − | 0.850827i | 0.139408 | − | 0.990235i | \(-0.455480\pi\) |
−0.990235 | + | 0.139408i | \(0.955480\pi\) | |||||||
\(954\) | 3.56614e6 | + | 1.03310e6i | 0.126861 | + | 0.0367511i | ||||
\(955\) | 169157. | + | 1.40345e7i | 0.00600181 | + | 0.497952i | ||||
\(956\) | −3.51096e6 | + | 5.55118e6i | −0.124246 | + | 0.196445i | ||||
\(957\) | −3.05306e6 | − | 3.05306e6i | −0.107759 | − | 0.107759i | ||||
\(958\) | −3.32688e7 | + | 1.83229e7i | −1.17118 | + | 0.645031i | ||||
\(959\) | −6.72782e6 | −0.236226 | ||||||||
\(960\) | 2.80078e7 | + | 3.48919e7i | 0.980845 | + | 1.22193i | ||||
\(961\) | 1.41487e7 | 0.494205 | ||||||||
\(962\) | −3.31290e7 | + | 1.82459e7i | −1.15417 | + | 0.635665i | ||||
\(963\) | −7.62719e6 | − | 7.62719e6i | −0.265032 | − | 0.265032i | ||||
\(964\) | 2.52022e7 | − | 3.98471e7i | 0.873464 | − | 1.38103i | ||||
\(965\) | −681001. | − | 664780.i | −0.0235412 | − | 0.0229805i | ||||
\(966\) | 4.21844e7 | + | 1.22206e7i | 1.45448 | + | 0.421358i | ||||
\(967\) | −1.56733e7 | − | 1.56733e7i | −0.539007 | − | 0.539007i | 0.384230 | − | 0.923237i | \(-0.374467\pi\) |
−0.923237 | + | 0.384230i | \(0.874467\pi\) | |||||||
\(968\) | 1.63179e6 | − | 2.69244e7i | 0.0559727 | − | 0.923545i | ||||
\(969\) | − | 2.58010e7i | − | 0.882727i | ||||||
\(970\) | −2.04656e6 | + | 7.39695e6i | −0.0698387 | + | 0.252420i | ||||
\(971\) | −3.04623e7 | −1.03685 | −0.518423 | − | 0.855124i | \(-0.673481\pi\) | ||||
−0.518423 | + | 0.855124i | \(0.673481\pi\) | |||||||
\(972\) | −3.56981e7 | + | 8.03694e6i | −1.21193 | + | 0.272851i | ||||
\(973\) | −1.35615e7 | + | 1.35615e7i | −0.459224 | + | 0.459224i | ||||
\(974\) | 2.06987e7 | + | 5.99634e6i | 0.699112 | + | 0.202530i | ||||
\(975\) | 5.06323e7 | − | 1.22072e6i | 1.70575 | − | 0.0411248i | ||||
\(976\) | 2.66799e7 | − | 1.26547e7i | 0.896521 | − | 0.425233i | ||||
\(977\) | −1.05653e7 | + | 1.05653e7i | −0.354117 | + | 0.354117i | −0.861639 | − | 0.507522i | \(-0.830562\pi\) |
0.507522 | + | 0.861639i | \(0.330562\pi\) | |||||||
\(978\) | 1.22844e7 | + | 2.23046e7i | 0.410682 | + | 0.745672i | ||||
\(979\) | 3.17966e6i | 0.106029i | ||||||||
\(980\) | 3.06183e7 | + | 1.88525e7i | 1.01840 | + | 0.627051i | ||||
\(981\) | − | 5.64058e7i | − | 1.87133i | ||||||
\(982\) | 9.69837e6 | − | 5.34141e6i | 0.320937 | − | 0.176757i | ||||
\(983\) | 2.85839e7 | − | 2.85839e7i | 0.943491 | − | 0.943491i | −0.0549958 | − | 0.998487i | \(-0.517515\pi\) |
0.998487 | + | 0.0549958i | \(0.0175145\pi\) | |||||||
\(984\) | −4.02466e7 | + | 3.56470e7i | −1.32508 | + | 1.17364i | ||||
\(985\) | 220715. | + | 215457.i | 0.00724837 | + | 0.00707572i | ||||
\(986\) | 1.01815e6 | − | 3.51454e6i | 0.0333517 | − | 0.115127i | ||||
\(987\) | 5.50917e7 | − | 5.50917e7i | 1.80009 | − | 1.80009i | ||||
\(988\) | −5.44955e7 | + | 1.22689e7i | −1.77610 | + | 0.399866i | ||||
\(989\) | −2.35137e7 | −0.764417 | ||||||||
\(990\) | 6.04837e6 | + | 1.06755e7i | 0.196133 | + | 0.346178i | ||||
\(991\) | 2.35227e6i | 0.0760857i | 0.999276 | + | 0.0380429i | \(0.0121123\pi\) | ||||
−0.999276 | + | 0.0380429i | \(0.987888\pi\) | |||||||
\(992\) | 1.28880e7 | − | 1.78825e7i | 0.415820 | − | 0.576965i | ||||
\(993\) | 5.81632e6 | + | 5.81632e6i | 0.187187 | + | 0.187187i | ||||
\(994\) | 1.73153e7 | − | 5.97706e7i | 0.555858 | − | 1.91876i | ||||
\(995\) | 1.66922e7 | − | 201192.i | 0.534511 | − | 0.00644246i | ||||
\(996\) | −3.91922e7 | − | 2.47879e7i | −1.25185 | − | 0.791757i | ||||
\(997\) | −4.06409e6 | − | 4.06409e6i | −0.129487 | − | 0.129487i | 0.639393 | − | 0.768880i | \(-0.279186\pi\) |
−0.768880 | + | 0.639393i | \(0.779186\pi\) | |||||||
\(998\) | 1.70023e7 | + | 3.08710e7i | 0.540359 | + | 0.981126i | ||||
\(999\) | −2.72223e7 | −0.863001 |
(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 | 40.6.k.a.3.4 | ✓ | 56 | |
4.3 | odd | 2 | 160.6.o.a.143.25 | 56 | |||
5.2 | odd | 4 | inner | 40.6.k.a.27.10 | yes | 56 | |
8.3 | odd | 2 | inner | 40.6.k.a.3.10 | yes | 56 | |
8.5 | even | 2 | 160.6.o.a.143.26 | 56 | |||
20.7 | even | 4 | 160.6.o.a.47.26 | 56 | |||
40.27 | even | 4 | inner | 40.6.k.a.27.4 | yes | 56 | |
40.37 | odd | 4 | 160.6.o.a.47.25 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
40.6.k.a.3.4 | ✓ | 56 | 1.1 | even | 1 | trivial | |
40.6.k.a.3.10 | yes | 56 | 8.3 | odd | 2 | inner | |
40.6.k.a.27.4 | yes | 56 | 40.27 | even | 4 | inner | |
40.6.k.a.27.10 | yes | 56 | 5.2 | odd | 4 | inner | |
160.6.o.a.47.25 | 56 | 40.37 | odd | 4 | |||
160.6.o.a.47.26 | 56 | 20.7 | even | 4 | |||
160.6.o.a.143.25 | 56 | 4.3 | odd | 2 | |||
160.6.o.a.143.26 | 56 | 8.5 | even | 2 |