Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,6,Mod(5,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.g (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: | \(3.36806021607\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 171 x^{14} + 21495 x^{12} - 1128902 x^{10} + 42970860 x^{8} - 655075344 x^{6} + \cdots + 90230547456 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4}\cdot 3^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 17.2 | ||
Root | \(-5.89199 + 3.40174i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 21.17 |
Dual form | 21.6.g.c.5.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.89199 | + | 3.40174i | −1.04157 | + | 0.601349i | −0.920277 | − | 0.391268i | \(-0.872037\pi\) |
−0.121290 | + | 0.992617i | \(0.538703\pi\) | |||||||
\(3\) | 1.92849 | + | 15.4687i | 0.123713 | + | 0.992318i | ||||
\(4\) | 7.14372 | − | 12.3733i | 0.223241 | − | 0.386665i | ||||
\(5\) | −7.45706 | − | 12.9160i | −0.133396 | − | 0.231048i | 0.791588 | − | 0.611056i | \(-0.209255\pi\) |
−0.924984 | + | 0.380007i | \(0.875922\pi\) | |||||||
\(6\) | −63.9832 | − | 84.5813i | −0.725585 | − | 0.959171i | ||||
\(7\) | −125.096 | − | 34.0278i | −0.964939 | − | 0.262476i | ||||
\(8\) | − | 120.507i | − | 0.665714i | ||||||
\(9\) | −235.562 | + | 59.6625i | −0.969390 | + | 0.245525i | ||||
\(10\) | 87.8738 | + | 50.7340i | 0.277881 | + | 0.160435i | ||||
\(11\) | 83.2023 | + | 48.0368i | 0.207326 | + | 0.119700i | 0.600068 | − | 0.799949i | \(-0.295140\pi\) |
−0.392742 | + | 0.919649i | \(0.628474\pi\) | |||||||
\(12\) | 205.175 | + | 86.6424i | 0.411313 | + | 0.173691i | ||||
\(13\) | 416.854i | 0.684109i | 0.939680 | + | 0.342055i | \(0.111123\pi\) | ||||
−0.939680 | + | 0.342055i | \(0.888877\pi\) | |||||||
\(14\) | 852.821 | − | 225.054i | 1.16289 | − | 0.306879i | ||||
\(15\) | 185.413 | − | 140.259i | 0.212771 | − | 0.160955i | ||||
\(16\) | 638.534 | + | 1105.97i | 0.623568 | + | 1.08005i | ||||
\(17\) | −104.249 | + | 180.565i | −0.0874884 | + | 0.151534i | −0.906449 | − | 0.422316i | \(-0.861217\pi\) |
0.818960 | + | 0.573850i | \(0.194551\pi\) | |||||||
\(18\) | 1184.97 | − | 1152.85i | 0.862039 | − | 0.838672i | ||||
\(19\) | −2296.16 | + | 1325.69i | −1.45921 | + | 0.842476i | −0.998973 | − | 0.0453185i | \(-0.985570\pi\) |
−0.460239 | + | 0.887795i | \(0.652236\pi\) | |||||||
\(20\) | −213.085 | −0.119118 | ||||||||
\(21\) | 285.119 | − | 2000.70i | 0.141084 | − | 0.989998i | ||||
\(22\) | −653.636 | −0.287925 | ||||||||
\(23\) | −2267.02 | + | 1308.86i | −0.893584 | + | 0.515911i | −0.875113 | − | 0.483919i | \(-0.839213\pi\) |
−0.0184706 | + | 0.999829i | \(0.505880\pi\) | |||||||
\(24\) | 1864.09 | − | 232.397i | 0.660600 | − | 0.0823573i | ||||
\(25\) | 1451.28 | − | 2513.70i | 0.464411 | − | 0.804384i | ||||
\(26\) | −1418.03 | − | 2456.10i | −0.411388 | − | 0.712545i | ||||
\(27\) | −1377.18 | − | 3528.78i | −0.363564 | − | 0.931569i | ||||
\(28\) | −1314.69 | + | 1304.77i | −0.316904 | + | 0.314513i | ||||
\(29\) | 7220.50i | 1.59431i | 0.603776 | + | 0.797154i | \(0.293662\pi\) | ||||
−0.603776 | + | 0.797154i | \(0.706338\pi\) | |||||||
\(30\) | −615.325 | + | 1457.13i | −0.124825 | + | 0.295595i | ||||
\(31\) | 3721.66 | + | 2148.70i | 0.695557 | + | 0.401580i | 0.805690 | − | 0.592337i | \(-0.201794\pi\) |
−0.110133 | + | 0.993917i | \(0.535128\pi\) | |||||||
\(32\) | −4184.88 | − | 2416.14i | −0.722450 | − | 0.417107i | ||||
\(33\) | −582.613 | + | 1379.67i | −0.0931313 | + | 0.220542i | ||||
\(34\) | − | 1418.52i | − | 0.210444i | ||||||
\(35\) | 493.347 | + | 1869.49i | 0.0680742 | + | 0.257961i | ||||
\(36\) | −944.567 | + | 3340.89i | −0.121472 | + | 0.429641i | ||||
\(37\) | −1839.50 | − | 3186.10i | −0.220900 | − | 0.382609i | 0.734182 | − | 0.678953i | \(-0.237566\pi\) |
−0.955081 | + | 0.296344i | \(0.904233\pi\) | |||||||
\(38\) | 9019.31 | − | 15621.9i | 1.01324 | − | 1.75499i | ||||
\(39\) | −6448.19 | + | 803.898i | −0.678854 | + | 0.0846330i | ||||
\(40\) | −1556.47 | + | 898.629i | −0.153812 | + | 0.0888035i | ||||
\(41\) | 15452.3 | 1.43560 | 0.717798 | − | 0.696251i | \(-0.245150\pi\) | ||||
0.717798 | + | 0.696251i | \(0.245150\pi\) | |||||||
\(42\) | 5125.95 | + | 12758.0i | 0.448385 | + | 1.11599i | ||||
\(43\) | −6011.11 | −0.495774 | −0.247887 | − | 0.968789i | \(-0.579736\pi\) | ||||
−0.247887 | + | 0.968789i | \(0.579736\pi\) | |||||||
\(44\) | 1188.75 | − | 686.324i | 0.0925674 | − | 0.0534438i | ||||
\(45\) | 2527.20 | + | 2597.61i | 0.186041 | + | 0.191224i | ||||
\(46\) | 8904.83 | − | 15423.6i | 0.620485 | − | 1.07471i | ||||
\(47\) | 1953.72 | + | 3383.94i | 0.129008 | + | 0.223449i | 0.923293 | − | 0.384097i | \(-0.125487\pi\) |
−0.794284 | + | 0.607546i | \(0.792154\pi\) | |||||||
\(48\) | −15876.6 | + | 12010.1i | −0.994611 | + | 0.752394i | ||||
\(49\) | 14491.2 | + | 8513.51i | 0.862213 | + | 0.506546i | ||||
\(50\) | 19747.6i | 1.11709i | ||||||||
\(51\) | −2994.15 | − | 1264.38i | −0.161194 | − | 0.0680696i | ||||
\(52\) | 5157.85 | + | 2977.89i | 0.264521 | + | 0.152721i | ||||
\(53\) | −31434.3 | − | 18148.6i | −1.53714 | − | 0.887469i | −0.999004 | − | 0.0446107i | \(-0.985795\pi\) |
−0.538136 | − | 0.842858i | \(-0.680871\pi\) | |||||||
\(54\) | 20118.3 | + | 16106.7i | 0.938875 | + | 0.751662i | ||||
\(55\) | − | 1432.85i | − | 0.0638697i | ||||||
\(56\) | −4100.60 | + | 15075.0i | −0.174734 | + | 0.642373i | ||||
\(57\) | −24934.8 | − | 32962.1i | −1.01653 | − | 1.34378i | ||||
\(58\) | −24562.3 | − | 42543.1i | −0.958736 | − | 1.66058i | ||||
\(59\) | 3913.73 | − | 6778.77i | 0.146373 | − | 0.253525i | −0.783511 | − | 0.621377i | \(-0.786573\pi\) |
0.929884 | + | 0.367852i | \(0.119907\pi\) | |||||||
\(60\) | −410.931 | − | 3296.14i | −0.0147364 | − | 0.118203i | ||||
\(61\) | 17488.2 | − | 10096.8i | 0.601758 | − | 0.347425i | −0.167975 | − | 0.985791i | \(-0.553723\pi\) |
0.769733 | + | 0.638366i | \(0.220389\pi\) | |||||||
\(62\) | −29237.3 | −0.965959 | ||||||||
\(63\) | 31498.1 | + | 552.092i | 0.999846 | + | 0.0175251i | ||||
\(64\) | −7989.78 | −0.243829 | ||||||||
\(65\) | 5384.08 | − | 3108.50i | 0.158062 | − | 0.0912573i | ||||
\(66\) | −1260.53 | − | 10110.9i | −0.0356200 | − | 0.285713i | ||||
\(67\) | −21969.0 | + | 38051.4i | −0.597892 | + | 1.03558i | 0.395240 | + | 0.918578i | \(0.370662\pi\) |
−0.993132 | + | 0.117001i | \(0.962672\pi\) | |||||||
\(68\) | 1489.45 | + | 2579.81i | 0.0390621 | + | 0.0676575i | ||||
\(69\) | −24618.3 | − | 32543.7i | −0.622495 | − | 0.822894i | ||||
\(70\) | −9266.33 | − | 9336.79i | −0.226028 | − | 0.227747i | ||||
\(71\) | 26028.0i | 0.612765i | 0.951908 | + | 0.306383i | \(0.0991187\pi\) | ||||
−0.951908 | + | 0.306383i | \(0.900881\pi\) | |||||||
\(72\) | 7189.76 | + | 28386.9i | 0.163449 | + | 0.645337i | ||||
\(73\) | 44090.5 | + | 25455.6i | 0.968361 | + | 0.559084i | 0.898736 | − | 0.438490i | \(-0.144486\pi\) |
0.0696251 | + | 0.997573i | \(0.477820\pi\) | |||||||
\(74\) | 21676.6 | + | 12515.0i | 0.460164 | + | 0.265676i | ||||
\(75\) | 41682.5 | + | 17601.9i | 0.855658 | + | 0.361331i | ||||
\(76\) | 37881.4i | 0.752302i | ||||||||
\(77\) | −8773.71 | − | 8840.43i | −0.168638 | − | 0.169921i | ||||
\(78\) | 35258.0 | − | 26671.6i | 0.656178 | − | 0.496379i | ||||
\(79\) | 25057.2 | + | 43400.3i | 0.451715 | + | 0.782393i | 0.998493 | − | 0.0548850i | \(-0.0174792\pi\) |
−0.546778 | + | 0.837278i | \(0.684146\pi\) | |||||||
\(80\) | 9523.16 | − | 16494.6i | 0.166363 | − | 0.288149i | ||||
\(81\) | 51929.8 | − | 28108.4i | 0.879435 | − | 0.476019i | ||||
\(82\) | −91044.6 | + | 52564.6i | −1.49527 | + | 0.863294i | ||||
\(83\) | 107835. | 1.71817 | 0.859086 | − | 0.511832i | \(-0.171033\pi\) | ||||
0.859086 | + | 0.511832i | \(0.171033\pi\) | |||||||
\(84\) | −22718.5 | − | 17820.3i | −0.351302 | − | 0.275561i | ||||
\(85\) | 3109.57 | 0.0466824 | ||||||||
\(86\) | 35417.4 | − | 20448.3i | 0.516382 | − | 0.298133i | ||||
\(87\) | −111692. | + | 13924.7i | −1.58206 | + | 0.197236i | ||||
\(88\) | 5788.78 | − | 10026.5i | 0.0796857 | − | 0.138020i | ||||
\(89\) | −68389.3 | − | 118454.i | −0.915194 | − | 1.58516i | −0.806617 | − | 0.591075i | \(-0.798704\pi\) |
−0.108577 | − | 0.994088i | \(-0.534630\pi\) | |||||||
\(90\) | −23726.6 | − | 6708.22i | −0.308766 | − | 0.0872973i | ||||
\(91\) | 14184.6 | − | 52146.9i | 0.179562 | − | 0.660123i | ||||
\(92\) | 37400.6i | 0.460690i | ||||||||
\(93\) | −26060.5 | + | 61713.1i | −0.312446 | + | 0.739894i | ||||
\(94\) | −23022.6 | − | 13292.1i | −0.268741 | − | 0.155158i | ||||
\(95\) | 34245.2 | + | 19771.5i | 0.389306 | + | 0.224766i | ||||
\(96\) | 29304.1 | − | 69394.2i | 0.324526 | − | 0.768502i | ||||
\(97\) | − | 25183.4i | − | 0.271759i | −0.990725 | − | 0.135880i | \(-0.956614\pi\) | ||
0.990725 | − | 0.135880i | \(-0.0433861\pi\) | |||||||
\(98\) | −114343. | − | 866.170i | −1.20266 | − | 0.00911041i | ||||
\(99\) | −22465.3 | − | 6351.59i | −0.230369 | − | 0.0651320i | ||||
\(100\) | −20735.1 | − | 35914.3i | −0.207351 | − | 0.359143i | ||||
\(101\) | −39031.4 | + | 67604.3i | −0.380724 | + | 0.659434i | −0.991166 | − | 0.132628i | \(-0.957659\pi\) |
0.610442 | + | 0.792061i | \(0.290992\pi\) | |||||||
\(102\) | 21942.6 | − | 2735.60i | 0.208828 | − | 0.0260346i | ||||
\(103\) | −84863.5 | + | 48996.0i | −0.788184 | + | 0.455059i | −0.839323 | − | 0.543633i | \(-0.817048\pi\) |
0.0511385 | + | 0.998692i | \(0.483715\pi\) | |||||||
\(104\) | 50233.9 | 0.455421 | ||||||||
\(105\) | −27967.2 | + | 11236.7i | −0.247557 | + | 0.0994643i | ||||
\(106\) | 246947. | 2.13471 | ||||||||
\(107\) | −116995. | + | 67547.4i | −0.987892 | + | 0.570360i | −0.904644 | − | 0.426169i | \(-0.859863\pi\) |
−0.0832486 | + | 0.996529i | \(0.526530\pi\) | |||||||
\(108\) | −53500.8 | − | 8168.36i | −0.441368 | − | 0.0673869i | ||||
\(109\) | −37566.0 | + | 65066.2i | −0.302851 | + | 0.524553i | −0.976781 | − | 0.214242i | \(-0.931272\pi\) |
0.673930 | + | 0.738796i | \(0.264605\pi\) | |||||||
\(110\) | 4874.20 | + | 8442.36i | 0.0384080 | + | 0.0665246i | ||||
\(111\) | 45737.5 | − | 34599.0i | 0.352342 | − | 0.266536i | ||||
\(112\) | −42244.4 | − | 160081.i | −0.318218 | − | 1.20585i | ||||
\(113\) | − | 88078.7i | − | 0.648895i | −0.945904 | − | 0.324448i | \(-0.894822\pi\) | ||
0.945904 | − | 0.324448i | \(-0.105178\pi\) | |||||||
\(114\) | 259044. | + | 109390.i | 1.86686 | + | 0.788346i | ||||
\(115\) | 33810.5 | + | 19520.5i | 0.238401 | + | 0.137641i | ||||
\(116\) | 89341.3 | + | 51581.3i | 0.616464 | + | 0.355915i | ||||
\(117\) | −24870.5 | − | 98194.8i | −0.167966 | − | 0.663169i | ||||
\(118\) | 53254.0i | 0.352085i | ||||||||
\(119\) | 19185.4 | − | 19040.7i | 0.124195 | − | 0.123258i | ||||
\(120\) | −16902.3 | − | 22343.6i | −0.107150 | − | 0.141645i | ||||
\(121\) | −75910.4 | − | 131481.i | −0.471344 | − | 0.816392i | ||||
\(122\) | −68693.8 | + | 118981.i | −0.417847 | + | 0.723733i | ||||
\(123\) | 29799.5 | + | 239026.i | 0.177601 | + | 1.42457i | ||||
\(124\) | 53173.0 | − | 30699.5i | 0.310554 | − | 0.179298i | ||||
\(125\) | −89895.8 | −0.514594 | ||||||||
\(126\) | −187465. | + | 103896.i | −1.05195 | + | 0.583003i | ||||
\(127\) | −141581. | −0.778923 | −0.389462 | − | 0.921043i | \(-0.627339\pi\) | ||||
−0.389462 | + | 0.921043i | \(0.627339\pi\) | |||||||
\(128\) | 180992. | − | 104496.i | 0.976414 | − | 0.563733i | ||||
\(129\) | −11592.4 | − | 92984.1i | −0.0613335 | − | 0.491965i | ||||
\(130\) | −21148.7 | + | 36630.5i | −0.109755 | + | 0.190101i | ||||
\(131\) | 76598.4 | + | 132672.i | 0.389979 | + | 0.675464i | 0.992446 | − | 0.122680i | \(-0.0391488\pi\) |
−0.602467 | + | 0.798144i | \(0.705815\pi\) | |||||||
\(132\) | 12909.0 | + | 17064.8i | 0.0644850 | + | 0.0852446i | ||||
\(133\) | 332352. | − | 87705.6i | 1.62918 | − | 0.429930i | ||||
\(134\) | − | 298931.i | − | 1.43817i | ||||||
\(135\) | −35308.0 | + | 44102.0i | −0.166740 | + | 0.208268i | ||||
\(136\) | 21759.4 | + | 12562.8i | 0.100879 | + | 0.0582423i | ||||
\(137\) | 78150.0 | + | 45119.9i | 0.355736 | + | 0.205384i | 0.667209 | − | 0.744871i | \(-0.267489\pi\) |
−0.311473 | + | 0.950255i | \(0.600822\pi\) | |||||||
\(138\) | 255756. | + | 108002.i | 1.14322 | + | 0.482763i | ||||
\(139\) | 133215.i | 0.584814i | 0.956294 | + | 0.292407i | \(0.0944562\pi\) | ||||
−0.956294 | + | 0.292407i | \(0.905544\pi\) | |||||||
\(140\) | 26656.1 | + | 7250.80i | 0.114941 | + | 0.0312655i | ||||
\(141\) | −48577.5 | + | 36747.4i | −0.205772 | + | 0.155661i | ||||
\(142\) | −88540.4 | − | 153357.i | −0.368486 | − | 0.638236i | ||||
\(143\) | −20024.3 | + | 34683.2i | −0.0818876 | + | 0.141833i | ||||
\(144\) | −216399. | − | 222428.i | −0.869660 | − | 0.893890i | ||||
\(145\) | 93260.0 | − | 53843.7i | 0.368362 | − | 0.212674i | ||||
\(146\) | −346374. | −1.34482 | ||||||||
\(147\) | −103747. | + | 240579.i | −0.395988 | + | 0.918256i | ||||
\(148\) | −52563.5 | −0.197256 | ||||||||
\(149\) | 24381.5 | − | 14076.7i | 0.0899694 | − | 0.0519439i | −0.454340 | − | 0.890828i | \(-0.650125\pi\) |
0.544310 | + | 0.838884i | \(0.316792\pi\) | |||||||
\(150\) | −305470. | + | 38083.0i | −1.10851 | + | 0.138199i | ||||
\(151\) | 3273.37 | − | 5669.65i | 0.0116830 | − | 0.0202355i | −0.860125 | − | 0.510084i | \(-0.829614\pi\) |
0.871808 | + | 0.489848i | \(0.162948\pi\) | |||||||
\(152\) | 159755. | + | 276704.i | 0.560849 | + | 0.971418i | ||||
\(153\) | 13784.2 | − | 48754.0i | 0.0476050 | − | 0.168377i | ||||
\(154\) | 81767.5 | + | 22241.8i | 0.277830 | + | 0.0755733i | ||||
\(155\) | − | 64092.0i | − | 0.214276i | ||||||
\(156\) | −36117.2 | + | 85528.1i | −0.118824 | + | 0.281383i | ||||
\(157\) | −59033.7 | − | 34083.1i | −0.191140 | − | 0.110355i | 0.401376 | − | 0.915913i | \(-0.368532\pi\) |
−0.592516 | + | 0.805559i | \(0.701865\pi\) | |||||||
\(158\) | −295273. | − | 170476.i | −0.940982 | − | 0.543276i | ||||
\(159\) | 220114. | − | 521247.i | 0.690487 | − | 1.63512i | ||||
\(160\) | 72069.2i | 0.222561i | ||||||||
\(161\) | 328133. | − | 86592.4i | 0.997667 | − | 0.263278i | ||||
\(162\) | −210352. | + | 342266.i | −0.629738 | + | 1.02465i | ||||
\(163\) | −211908. | − | 367035.i | −0.624709 | − | 1.08203i | −0.988597 | − | 0.150585i | \(-0.951884\pi\) |
0.363888 | − | 0.931443i | \(-0.381449\pi\) | |||||||
\(164\) | 110387. | − | 191195.i | 0.320484 | − | 0.555095i | ||||
\(165\) | 22164.4 | − | 2763.24i | 0.0633791 | − | 0.00790150i | ||||
\(166\) | −635366. | + | 366829.i | −1.78959 | + | 1.03322i | ||||
\(167\) | −30916.2 | −0.0857818 | −0.0428909 | − | 0.999080i | \(-0.513657\pi\) | ||||
−0.0428909 | + | 0.999080i | \(0.513657\pi\) | |||||||
\(168\) | −241099. | − | 34358.9i | −0.659056 | − | 0.0939217i | ||||
\(169\) | 197526. | 0.531995 | ||||||||
\(170\) | −18321.6 | + | 10578.0i | −0.0486228 | + | 0.0280724i | ||||
\(171\) | 461794. | − | 449277.i | 1.20770 | − | 1.17496i | ||||
\(172\) | −42941.7 | + | 74377.2i | −0.110677 | + | 0.191699i | ||||
\(173\) | −89609.9 | − | 155209.i | −0.227636 | − | 0.394277i | 0.729471 | − | 0.684012i | \(-0.239766\pi\) |
−0.957107 | + | 0.289735i | \(0.906433\pi\) | |||||||
\(174\) | 610719. | − | 461991.i | 1.52921 | − | 1.15681i | ||||
\(175\) | −267086. | + | 265071.i | −0.659259 | + | 0.654284i | ||||
\(176\) | 122693.i | 0.298563i | ||||||||
\(177\) | 112406. | + | 47467.5i | 0.269686 | + | 0.113884i | ||||
\(178\) | 805899. | + | 465286.i | 1.90647 | + | 1.10070i | ||||
\(179\) | 123131. | + | 71089.4i | 0.287232 | + | 0.165834i | 0.636693 | − | 0.771117i | \(-0.280302\pi\) |
−0.349461 | + | 0.936951i | \(0.613635\pi\) | |||||||
\(180\) | 50194.6 | − | 12713.2i | 0.115472 | − | 0.0292464i | ||||
\(181\) | 321437.i | 0.729288i | 0.931147 | + | 0.364644i | \(0.118809\pi\) | ||||
−0.931147 | + | 0.364644i | \(0.881191\pi\) | |||||||
\(182\) | 93814.7 | + | 355502.i | 0.209939 | + | 0.795542i | ||||
\(183\) | 189911. | + | 251049.i | 0.419201 | + | 0.554154i | ||||
\(184\) | 157727. | + | 273192.i | 0.343449 | + | 0.594871i | ||||
\(185\) | −27434.5 | + | 47517.9i | −0.0589342 | + | 0.102077i | ||||
\(186\) | −56383.9 | − | 452264.i | −0.119501 | − | 0.958539i | ||||
\(187\) | −17347.5 | + | 10015.6i | −0.0362772 | + | 0.0209447i | ||||
\(188\) | 55827.3 | 0.115200 | ||||||||
\(189\) | 52203.7 | + | 488300.i | 0.106303 | + | 0.994334i | ||||
\(190\) | −269030. | −0.540651 | ||||||||
\(191\) | −457970. | + | 264409.i | −0.908352 | + | 0.524437i | −0.879900 | − | 0.475158i | \(-0.842391\pi\) |
−0.0284511 | + | 0.999595i | \(0.509057\pi\) | |||||||
\(192\) | −15408.2 | − | 123592.i | −0.0301647 | − | 0.241956i | ||||
\(193\) | 47616.0 | − | 82473.4i | 0.0920153 | − | 0.159375i | −0.816344 | − | 0.577566i | \(-0.804002\pi\) |
0.908359 | + | 0.418191i | \(0.137336\pi\) | |||||||
\(194\) | 85667.4 | + | 148380.i | 0.163422 | + | 0.283056i | ||||
\(195\) | 58467.6 | + | 77290.1i | 0.110111 | + | 0.145558i | ||||
\(196\) | 208861. | − | 118486.i | 0.388345 | − | 0.220306i | ||||
\(197\) | 705756.i | 1.29565i | 0.761787 | + | 0.647827i | \(0.224322\pi\) | ||||
−0.761787 | + | 0.647827i | \(0.775678\pi\) | |||||||
\(198\) | 153972. | − | 38997.6i | 0.279112 | − | 0.0706927i | ||||
\(199\) | −75610.4 | − | 43653.7i | −0.135347 | − | 0.0781426i | 0.430798 | − | 0.902449i | \(-0.358232\pi\) |
−0.566145 | + | 0.824306i | \(0.691566\pi\) | |||||||
\(200\) | −302919. | − | 174890.i | −0.535490 | − | 0.309165i | ||||
\(201\) | −630973. | − | 266450.i | −1.10159 | − | 0.465185i | ||||
\(202\) | − | 531099.i | − | 0.915792i | ||||||
\(203\) | 245698. | − | 903259.i | 0.418467 | − | 1.53841i | ||||
\(204\) | −37034.0 | + | 28015.1i | −0.0623053 | + | 0.0471321i | ||||
\(205\) | −115228. | − | 199581.i | −0.191503 | − | 0.331692i | ||||
\(206\) | 333343. | − | 577368.i | 0.547298 | − | 0.947948i | ||||
\(207\) | 455933. | − | 443574.i | 0.739562 | − | 0.719516i | ||||
\(208\) | −461029. | + | 266175.i | −0.738873 | + | 0.426588i | ||||
\(209\) | −254728. | −0.403376 | ||||||||
\(210\) | 126558. | − | 161344.i | 0.198035 | − | 0.252467i | ||||
\(211\) | −330657. | −0.511294 | −0.255647 | − | 0.966770i | \(-0.582289\pi\) | ||||
−0.255647 | + | 0.966770i | \(0.582289\pi\) | |||||||
\(212\) | −449115. | + | 259297.i | −0.686307 | + | 0.396239i | ||||
\(213\) | −402619. | + | 50194.7i | −0.608058 | + | 0.0758069i | ||||
\(214\) | 459558. | − | 795977.i | 0.685971 | − | 1.18814i | ||||
\(215\) | 44825.2 | + | 77639.5i | 0.0661342 | + | 0.114548i | ||||
\(216\) | −425243. | + | 165960.i | −0.620159 | + | 0.242030i | ||||
\(217\) | −392451. | − | 395435.i | −0.565765 | − | 0.570067i | ||||
\(218\) | − | 511160.i | − | 0.728476i | ||||||
\(219\) | −308738. | + | 731113.i | −0.434990 | + | 1.03009i | ||||
\(220\) | −17729.1 | − | 10235.9i | −0.0246962 | − | 0.0142584i | ||||
\(221\) | −75269.2 | − | 43456.7i | −0.103666 | − | 0.0598516i | ||||
\(222\) | −151788. | + | 359444.i | −0.206707 | + | 0.489496i | ||||
\(223\) | − | 232532.i | − | 0.313128i | −0.987668 | − | 0.156564i | \(-0.949958\pi\) | ||
0.987668 | − | 0.156564i | \(-0.0500417\pi\) | |||||||
\(224\) | 441297. | + | 444653.i | 0.587640 | + | 0.592108i | ||||
\(225\) | −191894. | + | 678719.i | −0.252700 | + | 0.893786i | ||||
\(226\) | 299621. | + | 518959.i | 0.390212 | + | 0.675868i | ||||
\(227\) | −224126. | + | 388198.i | −0.288687 | + | 0.500021i | −0.973497 | − | 0.228701i | \(-0.926552\pi\) |
0.684809 | + | 0.728722i | \(0.259885\pi\) | |||||||
\(228\) | −585977. | + | 73053.9i | −0.746523 | + | 0.0930693i | ||||
\(229\) | 498966. | − | 288078.i | 0.628756 | − | 0.363012i | −0.151514 | − | 0.988455i | \(-0.548415\pi\) |
0.780270 | + | 0.625443i | \(0.215082\pi\) | |||||||
\(230\) | −265615. | −0.331080 | ||||||||
\(231\) | 119830. | − | 152767.i | 0.147753 | − | 0.188364i | ||||
\(232\) | 870122. | 1.06135 | ||||||||
\(233\) | 352442. | − | 203483.i | 0.425303 | − | 0.245549i | −0.272041 | − | 0.962286i | \(-0.587699\pi\) |
0.697344 | + | 0.716737i | \(0.254365\pi\) | |||||||
\(234\) | 480571. | + | 493960.i | 0.573743 | + | 0.589729i | ||||
\(235\) | 29138.0 | − | 50468.5i | 0.0344183 | − | 0.0596143i | ||||
\(236\) | −55917.1 | − | 96851.3i | −0.0653529 | − | 0.113195i | ||||
\(237\) | −623024. | + | 471299.i | −0.720499 | + | 0.545036i | ||||
\(238\) | −48269.0 | + | 177451.i | −0.0552365 | + | 0.203066i | ||||
\(239\) | − | 266151.i | − | 0.301393i | −0.988580 | − | 0.150696i | \(-0.951848\pi\) | ||
0.988580 | − | 0.150696i | \(-0.0481516\pi\) | |||||||
\(240\) | 273515. | + | 115501.i | 0.306516 | + | 0.129437i | ||||
\(241\) | 336439. | + | 194243.i | 0.373133 | + | 0.215428i | 0.674826 | − | 0.737977i | \(-0.264219\pi\) |
−0.301693 | + | 0.953405i | \(0.597552\pi\) | |||||||
\(242\) | 894527. | + | 516456.i | 0.981873 | + | 0.566885i | ||||
\(243\) | 534947. | + | 749080.i | 0.581159 | + | 0.813790i | ||||
\(244\) | − | 288516.i | − | 0.310238i | ||||||
\(245\) | 1898.76 | − | 250654.i | 0.00202094 | − | 0.266784i | ||||
\(246\) | −988685. | − | 1.30697e6i | −1.04165 | − | 1.37698i | ||||
\(247\) | −552619. | − | 957163.i | −0.576346 | − | 0.998260i | ||||
\(248\) | 258934. | − | 448487.i | 0.267338 | − | 0.463042i | ||||
\(249\) | 207960. | + | 1.66808e6i | 0.212560 | + | 1.70497i | ||||
\(250\) | 529666. | − | 305803.i | 0.535984 | − | 0.309450i | ||||
\(251\) | 1.09673e6 | 1.09879 | 0.549397 | − | 0.835561i | \(-0.314857\pi\) | ||||
0.549397 | + | 0.835561i | \(0.314857\pi\) | |||||||
\(252\) | 231845. | − | 385791.i | 0.229983 | − | 0.382694i | ||||
\(253\) | −251495. | −0.247017 | ||||||||
\(254\) | 834192. | − | 481621.i | 0.811301 | − | 0.468405i | ||||
\(255\) | 5996.77 | + | 48101.0i | 0.00577520 | + | 0.0463238i | ||||
\(256\) | −583099. | + | 1.00996e6i | −0.556086 | + | 0.963170i | ||||
\(257\) | −50161.9 | − | 86882.9i | −0.0473741 | − | 0.0820544i | 0.841366 | − | 0.540466i | \(-0.181752\pi\) |
−0.888740 | + | 0.458411i | \(0.848419\pi\) | |||||||
\(258\) | 384610. | + | 508427.i | 0.359726 | + | 0.475532i | ||||
\(259\) | 121698. | + | 461164.i | 0.112729 | + | 0.427175i | ||||
\(260\) | − | 88825.1i | − | 0.0814896i | ||||||
\(261\) | −430793. | − | 1.70087e6i | −0.391442 | − | 1.54551i | ||||
\(262\) | −902635. | − | 521136.i | −0.812379 | − | 0.469027i | ||||
\(263\) | −1.13012e6 | − | 652475.i | −1.00748 | − | 0.581667i | −0.0970250 | − | 0.995282i | \(-0.530933\pi\) |
−0.910452 | + | 0.413615i | \(0.864266\pi\) | |||||||
\(264\) | 166260. | + | 70209.1i | 0.146818 | + | 0.0619988i | ||||
\(265\) | 541340.i | 0.473539i | ||||||||
\(266\) | −1.65986e6 | + | 1.64734e6i | −1.43836 | + | 1.42751i | ||||
\(267\) | 1.70044e6 | − | 1.28633e6i | 1.45976 | − | 1.10427i | ||||
\(268\) | 313880. | + | 543657.i | 0.266948 | + | 0.462368i | ||||
\(269\) | −630360. | + | 1.09182e6i | −0.531139 | + | 0.919960i | 0.468201 | + | 0.883622i | \(0.344902\pi\) |
−0.999340 | + | 0.0363375i | \(0.988431\pi\) | |||||||
\(270\) | 58010.9 | − | 379957.i | 0.0484284 | − | 0.317194i | ||||
\(271\) | 1.08027e6 | − | 623692.i | 0.893527 | − | 0.515878i | 0.0184323 | − | 0.999830i | \(-0.494132\pi\) |
0.875094 | + | 0.483952i | \(0.160799\pi\) | |||||||
\(272\) | −266267. | −0.218220 | ||||||||
\(273\) | 834000. | + | 118853.i | 0.677266 | + | 0.0965170i | ||||
\(274\) | −613945. | −0.494030 | ||||||||
\(275\) | 241500. | − | 139430.i | 0.192569 | − | 0.111180i | ||||
\(276\) | −578539. | + | 72126.7i | −0.457151 | + | 0.0569932i | ||||
\(277\) | −329450. | + | 570623.i | −0.257982 | + | 0.446838i | −0.965701 | − | 0.259656i | \(-0.916391\pi\) |
0.707719 | + | 0.706494i | \(0.249724\pi\) | |||||||
\(278\) | −453165. | − | 784905.i | −0.351677 | − | 0.609123i | ||||
\(279\) | −1.00488e6 | − | 284109.i | −0.772864 | − | 0.218511i | ||||
\(280\) | 225287. | − | 59451.9i | 0.171728 | − | 0.0453180i | ||||
\(281\) | 1.28896e6i | 0.973809i | 0.873455 | + | 0.486904i | \(0.161874\pi\) | ||||
−0.873455 | + | 0.486904i | \(0.838126\pi\) | |||||||
\(282\) | 161213. | − | 381764.i | 0.120719 | − | 0.285872i | ||||
\(283\) | −873894. | − | 504543.i | −0.648624 | − | 0.374483i | 0.139305 | − | 0.990250i | \(-0.455513\pi\) |
−0.787929 | + | 0.615766i | \(0.788847\pi\) | |||||||
\(284\) | 322051. | + | 185936.i | 0.236935 | + | 0.136795i | ||||
\(285\) | −239798. | + | 567858.i | −0.174877 | + | 0.414121i | ||||
\(286\) | − | 272471.i | − | 0.196972i | ||||||
\(287\) | −1.93302e6 | − | 525807.i | −1.38526 | − | 0.376809i | ||||
\(288\) | 1.12995e6 | + | 319470.i | 0.802746 | + | 0.226960i | ||||
\(289\) | 688193. | + | 1.19198e6i | 0.484692 | + | 0.839510i | ||||
\(290\) | −366325. | + | 634493.i | −0.255783 | + | 0.443029i | ||||
\(291\) | 389554. | − | 48565.9i | 0.269672 | − | 0.0336201i | ||||
\(292\) | 629940. | − | 363696.i | 0.432357 | − | 0.249621i | ||||
\(293\) | 1.94711e6 | 1.32502 | 0.662508 | − | 0.749055i | \(-0.269492\pi\) | ||||
0.662508 | + | 0.749055i | \(0.269492\pi\) | |||||||
\(294\) | −207111. | − | 1.77041e6i | −0.139744 | − | 1.19455i | ||||
\(295\) | −116739. | −0.0781021 | ||||||||
\(296\) | −383948. | + | 221673.i | −0.254709 | + | 0.147056i | ||||
\(297\) | 54926.9 | − | 359758.i | 0.0361321 | − | 0.236657i | ||||
\(298\) | −95770.5 | + | 165879.i | −0.0624728 | + | 0.108206i | ||||
\(299\) | −545604. | − | 945014.i | −0.352939 | − | 0.611309i | ||||
\(300\) | 515561. | − | 390006.i | 0.330732 | − | 0.250189i | ||||
\(301\) | 751968. | + | 204545.i | 0.478391 | + | 0.130129i | ||||
\(302\) | 44540.7i | 0.0281022i | ||||||||
\(303\) | −1.12102e6 | − | 473391.i | −0.701468 | − | 0.296219i | ||||
\(304\) | −2.93235e6 | − | 1.69299e6i | −1.81984 | − | 1.05068i | ||||
\(305\) | −260822. | − | 150585.i | −0.160544 | − | 0.0926901i | ||||
\(306\) | 84632.3 | + | 334148.i | 0.0516693 | + | 0.204003i | ||||
\(307\) | 1.97804e6i | 1.19782i | 0.800818 | + | 0.598908i | \(0.204398\pi\) | ||||
−0.800818 | + | 0.598908i | \(0.795602\pi\) | |||||||
\(308\) | −172062. | + | 45406.1i | −0.103350 | + | 0.0272733i | ||||
\(309\) | −921563. | − | 1.21824e6i | −0.549071 | − | 0.725833i | ||||
\(310\) | 218024. | + | 377629.i | 0.128855 | + | 0.223183i | ||||
\(311\) | 535732. | − | 927914.i | 0.314084 | − | 0.544010i | −0.665158 | − | 0.746703i | \(-0.731636\pi\) |
0.979242 | + | 0.202693i | \(0.0649692\pi\) | |||||||
\(312\) | 96875.5 | + | 777053.i | 0.0563414 | + | 0.451923i | ||||
\(313\) | −360508. | + | 208140.i | −0.207996 | + | 0.120086i | −0.600380 | − | 0.799715i | \(-0.704984\pi\) |
0.392384 | + | 0.919802i | \(0.371650\pi\) | |||||||
\(314\) | 463768. | 0.265446 | ||||||||
\(315\) | −227752. | − | 410947.i | −0.129326 | − | 0.233351i | ||||
\(316\) | 716005. | 0.403365 | ||||||||
\(317\) | 2.50467e6 | − | 1.44607e6i | 1.39992 | − | 0.808242i | 0.405532 | − | 0.914081i | \(-0.367086\pi\) |
0.994383 | + | 0.105839i | \(0.0337529\pi\) | |||||||
\(318\) | 476235. | + | 3.81996e6i | 0.264091 | + | 2.11831i | ||||
\(319\) | −346850. | + | 600762.i | −0.190838 | + | 0.330541i | ||||
\(320\) | 59580.2 | + | 103196.i | 0.0325258 | + | 0.0563363i | ||||
\(321\) | −1.27049e6 | − | 1.67950e6i | −0.688193 | − | 0.909743i | ||||
\(322\) | −1.63879e6 | + | 1.62643e6i | −0.880815 | + | 0.874168i | ||||
\(323\) | − | 552808.i | − | 0.294828i | ||||||
\(324\) | 23178.3 | − | 843341.i | 0.0122664 | − | 0.446314i | ||||
\(325\) | 1.04784e6 | + | 604973.i | 0.550286 | + | 0.317708i | ||||
\(326\) | 2.49712e6 | + | 1.44171e6i | 1.30135 | + | 0.751337i | ||||
\(327\) | −1.07894e6 | − | 455618.i | −0.557990 | − | 0.235630i | ||||
\(328\) | − | 1.86211e6i | − | 0.955697i | ||||||
\(329\) | −129255. | − | 489800.i | −0.0658352 | − | 0.249476i | ||||
\(330\) | −121193. | + | 91678.6i | −0.0612620 | + | 0.0463429i | ||||
\(331\) | 1.73878e6 | + | 3.01165e6i | 0.872315 | + | 1.51089i | 0.859595 | + | 0.510975i | \(0.170716\pi\) |
0.0127200 | + | 0.999919i | \(0.495951\pi\) | |||||||
\(332\) | 770347. | − | 1.33428e6i | 0.383567 | − | 0.664357i | ||||
\(333\) | 623407. | + | 640776.i | 0.308078 | + | 0.316662i | ||||
\(334\) | 182158. | − | 105169.i | 0.0893475 | − | 0.0515848i | ||||
\(335\) | 655295. | 0.319025 | ||||||||
\(336\) | 2.39478e6 | − | 962181.i | 1.15722 | − | 0.464953i | ||||
\(337\) | 916887. | 0.439786 | 0.219893 | − | 0.975524i | \(-0.429429\pi\) | ||||
0.219893 | + | 0.975524i | \(0.429429\pi\) | |||||||
\(338\) | −1.16382e6 | + | 671933.i | −0.554108 | + | 0.319915i | ||||
\(339\) | 1.36246e6 | − | 169859.i | 0.643910 | − | 0.0802766i | ||||
\(340\) | 22213.9 | − | 38475.6i | 0.0104214 | − | 0.0180505i | ||||
\(341\) | 206434. | + | 357554.i | 0.0961379 | + | 0.166516i | ||||
\(342\) | −1.19256e6 | + | 4.21804e6i | −0.551336 | + | 1.95005i | ||||
\(343\) | −1.52310e6 | − | 1.55811e6i | −0.699027 | − | 0.715096i | ||||
\(344\) | 724382.i | 0.330044i | ||||||||
\(345\) | −236754. | + | 560651.i | −0.107090 | + | 0.253597i | ||||
\(346\) | 1.05596e6 | + | 609660.i | 0.474196 | + | 0.273777i | ||||
\(347\) | 1.07207e6 | + | 618962.i | 0.477970 | + | 0.275956i | 0.719570 | − | 0.694420i | \(-0.244339\pi\) |
−0.241600 | + | 0.970376i | \(0.577672\pi\) | |||||||
\(348\) | −625601. | + | 1.48147e6i | −0.276917 | + | 0.655759i | ||||
\(349\) | − | 2.19902e6i | − | 0.966419i | −0.875505 | − | 0.483210i | \(-0.839471\pi\) | ||
0.875505 | − | 0.483210i | \(-0.160529\pi\) | |||||||
\(350\) | 671968. | − | 2.47035e6i | 0.293210 | − | 1.07793i | ||||
\(351\) | 1.47098e6 | − | 574083.i | 0.637295 | − | 0.248718i | ||||
\(352\) | −232128. | − | 402057.i | −0.0998550 | − | 0.172954i | ||||
\(353\) | −1.33455e6 | + | 2.31152e6i | −0.570032 | + | 0.987325i | 0.426530 | + | 0.904474i | \(0.359736\pi\) |
−0.996562 | + | 0.0828512i | \(0.973597\pi\) | |||||||
\(354\) | −823770. | + | 102700.i | −0.349380 | + | 0.0435573i | ||||
\(355\) | 336177. | − | 194092.i | 0.141578 | − | 0.0817404i | ||||
\(356\) | −1.95422e6 | −0.817237 | ||||||||
\(357\) | 331533. | + | 260054.i | 0.137675 | + | 0.107992i | ||||
\(358\) | −967312. | −0.398896 | ||||||||
\(359\) | −3.93862e6 | + | 2.27396e6i | −1.61290 | + | 0.931210i | −0.624209 | + | 0.781257i | \(0.714579\pi\) |
−0.988693 | + | 0.149952i | \(0.952088\pi\) | |||||||
\(360\) | 313031. | − | 304546.i | 0.127301 | − | 0.123850i | ||||
\(361\) | 2.27685e6 | − | 3.94363e6i | 0.919533 | − | 1.59268i | ||||
\(362\) | −1.09345e6 | − | 1.89390e6i | −0.438557 | − | 0.759602i | ||||
\(363\) | 1.88744e6 | − | 1.42780e6i | 0.751809 | − | 0.568721i | ||||
\(364\) | −543898. | − | 548033.i | −0.215161 | − | 0.216797i | ||||
\(365\) | − | 759296.i | − | 0.298318i | ||||||
\(366\) | −1.97296e6 | − | 833150.i | −0.769866 | − | 0.325103i | ||||
\(367\) | −1.84905e6 | − | 1.06755e6i | −0.716609 | − | 0.413735i | 0.0968940 | − | 0.995295i | \(-0.469109\pi\) |
−0.813503 | + | 0.581560i | \(0.802443\pi\) | |||||||
\(368\) | −2.89513e6 | − | 1.67151e6i | −1.11442 | − | 0.643411i | ||||
\(369\) | −3.63996e6 | + | 921920.i | −1.39165 | + | 0.352474i | ||||
\(370\) | − | 373300.i | − | 0.141760i | ||||||
\(371\) | 3.31476e6 | + | 3.33996e6i | 1.25031 | + | 1.25981i | ||||
\(372\) | 577425. | + | 763315.i | 0.216341 | + | 0.285987i | ||||
\(373\) | 1.62927e6 | + | 2.82198e6i | 0.606346 | + | 1.05022i | 0.991837 | + | 0.127511i | \(0.0406987\pi\) |
−0.385491 | + | 0.922711i | \(0.625968\pi\) | |||||||
\(374\) | 68141.1 | − | 118024.i | 0.0251901 | − | 0.0436305i | ||||
\(375\) | −173363. | − | 1.39057e6i | −0.0636618 | − | 0.510641i | ||||
\(376\) | 407789. | − | 235437.i | 0.148753 | − | 0.0858826i | ||||
\(377\) | −3.00989e6 | −1.09068 | ||||||||
\(378\) | −1.96866e6 | − | 2.69948e6i | −0.708664 | − | 0.971740i | ||||
\(379\) | −3.32017e6 | −1.18730 | −0.593652 | − | 0.804722i | \(-0.702314\pi\) | ||||
−0.593652 | + | 0.804722i | \(0.702314\pi\) | |||||||
\(380\) | 489276. | − | 282484.i | 0.173818 | − | 0.100354i | ||||
\(381\) | −273037. | − | 2.19007e6i | −0.0963627 | − | 0.772940i | ||||
\(382\) | 1.79891e6 | − | 3.11580e6i | 0.630739 | − | 1.09247i | ||||
\(383\) | 1.73101e6 | + | 2.99819e6i | 0.602978 | + | 1.04439i | 0.992368 | + | 0.123316i | \(0.0393528\pi\) |
−0.389389 | + | 0.921073i | \(0.627314\pi\) | |||||||
\(384\) | 1.96545e6 | + | 2.59819e6i | 0.680197 | + | 0.899173i | ||||
\(385\) | −48756.9 | + | 179245.i | −0.0167642 | + | 0.0616304i | ||||
\(386\) | 647910.i | 0.221333i | ||||||||
\(387\) | 1.41599e6 | − | 358638.i | 0.480598 | − | 0.121725i | ||||
\(388\) | −311601. | − | 179903.i | −0.105080 | − | 0.0606679i | ||||
\(389\) | −2.15824e6 | − | 1.24606e6i | −0.723147 | − | 0.417509i | 0.0927629 | − | 0.995688i | \(-0.470430\pi\) |
−0.815910 | + | 0.578179i | \(0.803763\pi\) | |||||||
\(390\) | −607412. | − | 256501.i | −0.202219 | − | 0.0853939i | ||||
\(391\) | − | 545792.i | − | 0.180545i | ||||||
\(392\) | 1.02594e6 | − | 1.74630e6i | 0.337215 | − | 0.573988i | ||||
\(393\) | −1.90455e6 | + | 1.44074e6i | −0.622030 | + | 0.470547i | ||||
\(394\) | −2.40080e6 | − | 4.15831e6i | −0.779141 | − | 1.34951i | ||||
\(395\) | 373705. | − | 647276.i | 0.120514 | − | 0.208736i | ||||
\(396\) | −239076. | + | 232595.i | −0.0766121 | + | 0.0745355i | ||||
\(397\) | 2.63999e6 | − | 1.52420e6i | 0.840670 | − | 0.485361i | −0.0168218 | − | 0.999859i | \(-0.505355\pi\) |
0.857492 | + | 0.514497i | \(0.172021\pi\) | |||||||
\(398\) | 593994. | 0.187964 | ||||||||
\(399\) | 1.99763e6 | + | 4.97191e6i | 0.628178 | + | 1.56348i | ||||
\(400\) | 3.70678e6 | 1.15837 | ||||||||
\(401\) | 44663.4 | − | 25786.4i | 0.0138705 | − | 0.00800812i | −0.493049 | − | 0.870002i | \(-0.664118\pi\) |
0.506919 | + | 0.861994i | \(0.330784\pi\) | |||||||
\(402\) | 4.62408e6 | − | 576486.i | 1.42712 | − | 0.177920i | ||||
\(403\) | −895695. | + | 1.55139e6i | −0.274725 | + | 0.475837i | ||||
\(404\) | 557659. | + | 965893.i | 0.169987 | + | 0.294426i | ||||
\(405\) | −750291. | − | 461119.i | −0.227296 | − | 0.139693i | ||||
\(406\) | 1.62500e6 | + | 6.15780e6i | 0.489260 | + | 1.85400i | ||||
\(407\) | − | 353455.i | − | 0.105766i | ||||||
\(408\) | −152367. | + | 360817.i | −0.0453149 | + | 0.107309i | ||||
\(409\) | 3.93107e6 | + | 2.26960e6i | 1.16199 | + | 0.670875i | 0.951780 | − | 0.306782i | \(-0.0992522\pi\) |
0.210209 | + | 0.977656i | \(0.432585\pi\) | |||||||
\(410\) | 1.35785e6 | + | 783954.i | 0.398925 | + | 0.230320i | ||||
\(411\) | −547235. | + | 1.29589e6i | −0.159797 | + | 0.378412i | ||||
\(412\) | 1.40005e6i | 0.406351i | ||||||||
\(413\) | −720260. | + | 714824.i | −0.207785 | + | 0.206217i | ||||
\(414\) | −1.17743e6 | + | 4.16450e6i | −0.337624 | + | 1.19416i | ||||
\(415\) | −804135. | − | 1.39280e6i | −0.229197 | − | 0.396981i | ||||
\(416\) | 1.00718e6 | − | 1.74448e6i | 0.285347 | − | 0.494235i | ||||
\(417\) | −2.06067e6 | + | 256905.i | −0.580321 | + | 0.0723489i | ||||
\(418\) | 1.50085e6 | − | 866518.i | 0.420144 | − | 0.242570i | ||||
\(419\) | 1.89078e6 | 0.526145 | 0.263072 | − | 0.964776i | \(-0.415264\pi\) | ||||
0.263072 | + | 0.964776i | \(0.415264\pi\) | |||||||
\(420\) | −60754.5 | + | 426319.i | −0.0168056 | + | 0.117926i | ||||
\(421\) | −5.04901e6 | −1.38836 | −0.694178 | − | 0.719803i | \(-0.744232\pi\) | ||||
−0.694178 | + | 0.719803i | \(0.744232\pi\) | |||||||
\(422\) | 1.94823e6 | − | 1.12481e6i | 0.532547 | − | 0.307466i | ||||
\(423\) | −662116. | − | 680564.i | −0.179922 | − | 0.184934i | ||||
\(424\) | −2.18703e6 | + | 3.78805e6i | −0.590801 | + | 1.02330i | ||||
\(425\) | 302591. | + | 524102.i | 0.0812612 | + | 0.140748i | ||||
\(426\) | 2.20148e6 | − | 1.66535e6i | 0.587747 | − | 0.444613i | ||||
\(427\) | −2.53129e6 | + | 667992.i | −0.671850 | + | 0.177297i | ||||
\(428\) | 1.93016e6i | 0.509312i | ||||||||
\(429\) | −575121. | − | 242864.i | −0.150874 | − | 0.0637119i | ||||
\(430\) | −528219. | − | 304968.i | −0.137766 | − | 0.0795394i | ||||
\(431\) | −2.83060e6 | − | 1.63425e6i | −0.733982 | − | 0.423765i | 0.0858949 | − | 0.996304i | \(-0.472625\pi\) |
−0.819877 | + | 0.572539i | \(0.805958\pi\) | |||||||
\(432\) | 3.02336e6 | − | 3.77637e6i | 0.779435 | − | 0.973565i | ||||
\(433\) | − | 1.69788e6i | − | 0.435198i | −0.976038 | − | 0.217599i | \(-0.930177\pi\) | ||
0.976038 | − | 0.217599i | \(-0.0698226\pi\) | |||||||
\(434\) | 3.65749e6 | + | 994883.i | 0.932091 | + | 0.253541i | ||||
\(435\) | 1.01274e6 | + | 1.33877e6i | 0.256612 | + | 0.339222i | ||||
\(436\) | 536722. | + | 929630.i | 0.135218 | + | 0.234204i | ||||
\(437\) | 3.47029e6 | − | 6.01072e6i | 0.869285 | − | 1.50565i | ||||
\(438\) | −667979. | − | 5.35796e6i | −0.166371 | − | 1.33449i | ||||
\(439\) | −3.83060e6 | + | 2.21160e6i | −0.948650 | + | 0.547703i | −0.892661 | − | 0.450728i | \(-0.851164\pi\) |
−0.0559885 | + | 0.998431i | \(0.517831\pi\) | |||||||
\(440\) | −172669. | −0.0425190 | ||||||||
\(441\) | −3.92152e6 | − | 1.14088e6i | −0.960191 | − | 0.279346i | ||||
\(442\) | 591314. | 0.143967 | ||||||||
\(443\) | 4.52080e6 | − | 2.61008e6i | 1.09447 | − | 0.631895i | 0.159710 | − | 0.987164i | \(-0.448944\pi\) |
0.934764 | + | 0.355269i | \(0.115611\pi\) | |||||||
\(444\) | −101368. | − | 813089.i | −0.0244030 | − | 0.195740i | ||||
\(445\) | −1.01997e6 | + | 1.76663e6i | −0.244166 | + | 0.422908i | ||||
\(446\) | 791015. | + | 1.37008e6i | 0.188299 | + | 0.326143i | ||||
\(447\) | 264767. | + | 350004.i | 0.0626752 | + | 0.0828522i | ||||
\(448\) | 999493. | + | 271875.i | 0.235280 | + | 0.0639991i | ||||
\(449\) | − | 3.80274e6i | − | 0.890186i | −0.895484 | − | 0.445093i | \(-0.853171\pi\) | ||
0.895484 | − | 0.445093i | \(-0.146829\pi\) | |||||||
\(450\) | −1.17819e6 | − | 4.65178e6i | −0.274274 | − | 1.08290i | ||||
\(451\) | 1.28566e6 | + | 742278.i | 0.297636 | + | 0.171840i | ||||
\(452\) | −1.08982e6 | − | 629209.i | −0.250905 | − | 0.144860i | ||||
\(453\) | 94014.8 | + | 39701.0i | 0.0215254 | + | 0.00908983i | ||||
\(454\) | − | 3.04968e6i | − | 0.694407i | ||||||
\(455\) | −779305. | + | 205654.i | −0.176473 | + | 0.0465702i | ||||
\(456\) | −3.97217e6 | + | 3.00482e6i | −0.894572 | + | 0.676717i | ||||
\(457\) | −918745. | − | 1.59131e6i | −0.205781 | − | 0.356423i | 0.744600 | − | 0.667510i | \(-0.232640\pi\) |
−0.950381 | + | 0.311088i | \(0.899307\pi\) | |||||||
\(458\) | −1.95993e6 | + | 3.39471e6i | −0.436594 | + | 0.756203i | ||||
\(459\) | 780744. | + | 119202.i | 0.172972 | + | 0.0264090i | ||||
\(460\) | 483066. | − | 278898.i | 0.106442 | − | 0.0614542i | ||||
\(461\) | −7.79775e6 | −1.70890 | −0.854450 | − | 0.519533i | \(-0.826106\pi\) | ||||
−0.854450 | + | 0.519533i | \(0.826106\pi\) | |||||||
\(462\) | −186364. | + | 1.30773e6i | −0.0406217 | + | 0.285045i | ||||
\(463\) | 254809. | 0.0552410 | 0.0276205 | − | 0.999618i | \(-0.491207\pi\) | ||||
0.0276205 | + | 0.999618i | \(0.491207\pi\) | |||||||
\(464\) | −7.98568e6 | + | 4.61053e6i | −1.72193 | + | 0.994160i | ||||
\(465\) | 991420. | − | 123601.i | 0.212630 | − | 0.0265087i | ||||
\(466\) | −1.38439e6 | + | 2.39784e6i | −0.295321 | + | 0.511511i | ||||
\(467\) | 2.49262e6 | + | 4.31735e6i | 0.528889 | + | 0.916063i | 0.999432 | + | 0.0336859i | \(0.0107246\pi\) |
−0.470543 | + | 0.882377i | \(0.655942\pi\) | |||||||
\(468\) | −1.39266e6 | − | 393746.i | −0.293921 | − | 0.0831002i | ||||
\(469\) | 4.04304e6 | − | 4.01253e6i | 0.848743 | − | 0.842338i | ||||
\(470\) | 396480.i | 0.0827897i | ||||||||
\(471\) | 413376. | − | 978904.i | 0.0858604 | − | 0.203324i | ||||
\(472\) | −816890. | − | 471632.i | −0.168775 | − | 0.0974425i | ||||
\(473\) | −500138. | − | 288755.i | −0.102787 | − | 0.0593439i | ||||
\(474\) | 2.06761e6 | − | 4.89626e6i | 0.422691 | − | 1.00096i | ||||
\(475\) | 7.69581e6i | 1.56502i | ||||||||
\(476\) | −98540.1 | − | 373408.i | −0.0199340 | − | 0.0755381i | ||||
\(477\) | 8.48750e6 | + | 2.39967e6i | 1.70798 | + | 0.482897i | ||||
\(478\) | 905377. | + | 1.56816e6i | 0.181242 | + | 0.313921i | ||||
\(479\) | −3.85608e6 | + | 6.67893e6i | −0.767904 | + | 1.33005i | 0.170793 | + | 0.985307i | \(0.445367\pi\) |
−0.938697 | + | 0.344742i | \(0.887966\pi\) | |||||||
\(480\) | −1.11482e6 | + | 138985.i | −0.220852 | + | 0.0275337i | ||||
\(481\) | 1.32814e6 | − | 766802.i | 0.261747 | − | 0.151119i | ||||
\(482\) | −2.64306e6 | −0.518191 | ||||||||
\(483\) | 1.97227e6 | + | 4.90881e6i | 0.384680 | + | 0.957432i | ||||
\(484\) | −2.16913e6 | −0.420894 | ||||||||
\(485\) | −325268. | + | 187794.i | −0.0627896 | + | 0.0362516i | ||||
\(486\) | −5.70008e6 | − | 2.59382e6i | −1.09469 | − | 0.498137i | ||||
\(487\) | 4.06026e6 | − | 7.03257e6i | 0.775767 | − | 1.34367i | −0.158596 | − | 0.987344i | \(-0.550697\pi\) |
0.934363 | − | 0.356323i | \(-0.115970\pi\) | |||||||
\(488\) | −1.21674e6 | − | 2.10746e6i | −0.231286 | − | 0.400599i | ||||
\(489\) | 5.26890e6 | − | 3.98576e6i | 0.996432 | − | 0.753771i | ||||
\(490\) | 841474. | + | 1.48331e6i | 0.158325 | + | 0.279089i | ||||
\(491\) | − | 7.72726e6i | − | 1.44651i | −0.690581 | − | 0.723255i | \(-0.742645\pi\) | ||
0.690581 | − | 0.723255i | \(-0.257355\pi\) | |||||||
\(492\) | 3.17042e6 | + | 1.33882e6i | 0.590479 | + | 0.249350i | ||||
\(493\) | −1.30377e6 | − | 752732.i | −0.241593 | − | 0.139484i | ||||
\(494\) | 6.51205e6 | + | 3.75973e6i | 1.20061 | + | 0.693170i | ||||
\(495\) | 85487.6 | + | 337526.i | 0.0156816 | + | 0.0619147i | ||||
\(496\) | 5.48808e6i | 1.00165i | ||||||||
\(497\) | 885675. | − | 3.25600e6i | 0.160836 | − | 0.591281i | ||||
\(498\) | −6.89966e6 | − | 9.12086e6i | −1.24668 | − | 1.64802i | ||||
\(499\) | −1.16537e6 | − | 2.01848e6i | −0.209514 | − | 0.362889i | 0.742048 | − | 0.670347i | \(-0.233855\pi\) |
−0.951561 | + | 0.307459i | \(0.900521\pi\) | |||||||
\(500\) | −642191. | + | 1.11231e6i | −0.114879 | + | 0.198976i | ||||
\(501\) | −59621.6 | − | 478234.i | −0.0106123 | − | 0.0851228i | ||||
\(502\) | −6.46194e6 | + | 3.73080e6i | −1.14447 | + | 0.660759i | ||||
\(503\) | 3.86914e6 | 0.681859 | 0.340930 | − | 0.940089i | \(-0.389258\pi\) | ||||
0.340930 | + | 0.940089i | \(0.389258\pi\) | |||||||
\(504\) | 66531.1 | − | 3.79575e6i | 0.0116667 | − | 0.665612i | ||||
\(505\) | 1.16424e6 | 0.203148 | ||||||||
\(506\) | 1.48180e6 | − | 855520.i | 0.257285 | − | 0.148544i | ||||
\(507\) | 380927. | + | 3.05547e6i | 0.0658145 | + | 0.527908i | ||||
\(508\) | −1.01141e6 | + | 1.75182e6i | −0.173888 | + | 0.301183i | ||||
\(509\) | 2.14951e6 | + | 3.72307e6i | 0.367744 | + | 0.636952i | 0.989213 | − | 0.146488i | \(-0.0467968\pi\) |
−0.621468 | + | 0.783439i | \(0.713464\pi\) | |||||||
\(510\) | −198960. | − | 263011.i | −0.0338720 | − | 0.0447764i | ||||
\(511\) | −4.64936e6 | − | 4.68471e6i | −0.787663 | − | 0.793653i | ||||
\(512\) | − | 1.24648e6i | − | 0.210142i | ||||||
\(513\) | 7.84029e6 | + | 6.27693e6i | 1.31534 | + | 1.05306i | ||||
\(514\) | 591107. | + | 341276.i | 0.0986866 | + | 0.0569767i | ||||
\(515\) | 1.26566e6 | + | 730731.i | 0.210281 | + | 0.121406i | ||||
\(516\) | −1.23333e6 | − | 520817.i | −0.203918 | − | 0.0861114i | ||||
\(517\) | 375402.i | 0.0617689i | ||||||||
\(518\) | −2.28581e6 | − | 2.30319e6i | −0.374296 | − | 0.377142i | ||||
\(519\) | 2.22807e6 | − | 1.68547e6i | 0.363087 | − | 0.274664i | ||||
\(520\) | −374597. | − | 648820.i | −0.0607513 | − | 0.105224i | ||||
\(521\) | 2.28516e6 | − | 3.95801e6i | 0.368827 | − | 0.638827i | −0.620556 | − | 0.784162i | \(-0.713093\pi\) |
0.989382 | + | 0.145336i | \(0.0464262\pi\) | |||||||
\(522\) | 8.32417e6 | + | 8.55609e6i | 1.33710 | + | 1.37436i | ||||
\(523\) | −1.86520e6 | + | 1.07688e6i | −0.298176 | + | 0.172152i | −0.641623 | − | 0.767020i | \(-0.721739\pi\) |
0.343447 | + | 0.939172i | \(0.388405\pi\) | |||||||
\(524\) | 2.18879e6 | 0.348238 | ||||||||
\(525\) | −4.61537e6 | − | 3.62029e6i | −0.730817 | − | 0.573252i | ||||
\(526\) | 8.87821e6 | 1.39914 | ||||||||
\(527\) | −775961. | + | 448001.i | −0.121706 | + | 0.0702672i | ||||
\(528\) | −1.89790e6 | + | 236611.i | −0.296270 | + | 0.0369361i | ||||
\(529\) | 208072. | − | 360392.i | 0.0323277 | − | 0.0559933i | ||||
\(530\) | −1.84150e6 | − | 3.18957e6i | −0.284762 | − | 0.493222i | ||||
\(531\) | −517486. | + | 1.83032e6i | −0.0796457 | + | 0.281703i | ||||
\(532\) | 1.28902e6 | − | 4.73883e6i | 0.197461 | − | 0.725925i | ||||
\(533\) | 6.44133e6i | 0.982104i | ||||||||
\(534\) | −5.64320e6 | + | 1.33635e7i | −0.856392 | + | 2.02800i | ||||
\(535\) | 1.74488e6 | + | 1.00741e6i | 0.263561 | + | 0.152167i | ||||
\(536\) | 4.58546e6 | + | 2.64742e6i | 0.689400 | + | 0.398025i | ||||
\(537\) | −862206. | + | 2.04177e6i | −0.129025 | + | 0.305541i | ||||
\(538\) | − | 8.57730e6i | − | 1.27760i | ||||||
\(539\) | 796739. | + | 1.40446e6i | 0.118126 | + | 0.208227i | ||||
\(540\) | 293456. | + | 751928.i | 0.0433070 | + | 0.110967i | ||||
\(541\) | 2.73312e6 | + | 4.73390e6i | 0.401481 | + | 0.695386i | 0.993905 | − | 0.110240i | \(-0.0351621\pi\) |
−0.592423 | + | 0.805627i | \(0.701829\pi\) | |||||||
\(542\) | −4.24328e6 | + | 7.34958e6i | −0.620445 | + | 1.07464i | ||||
\(543\) | −4.97221e6 | + | 619888.i | −0.723686 | + | 0.0902222i | ||||
\(544\) | 872541. | − | 503762.i | 0.126412 | − | 0.0729840i | ||||
\(545\) | 1.12053e6 | 0.161596 | ||||||||
\(546\) | −5.31823e6 | + | 2.13677e6i | −0.763459 | + | 0.306745i | ||||
\(547\) | 7.32611e6 | 1.04690 | 0.523450 | − | 0.852056i | \(-0.324645\pi\) | ||||
0.523450 | + | 0.852056i | \(0.324645\pi\) | |||||||
\(548\) | 1.11656e6 | − | 644648.i | 0.158830 | − | 0.0917004i | ||||
\(549\) | −3.51716e6 | + | 3.42182e6i | −0.498037 | + | 0.484537i | ||||
\(550\) | −948612. | + | 1.64304e6i | −0.133716 | + | 0.231602i | ||||
\(551\) | −9.57214e6 | − | 1.65794e7i | −1.34317 | − | 2.32643i | ||||
\(552\) | −3.92175e6 | + | 2.96669e6i | −0.547813 | + | 0.414404i | ||||
\(553\) | −1.65774e6 | − | 6.28186e6i | −0.230518 | − | 0.873525i | ||||
\(554\) | − | 4.48281e6i | − | 0.620549i | ||||||
\(555\) | −787948. | − | 332738.i | −0.108584 | − | 0.0458533i | ||||
\(556\) | 1.64831e6 | + | 951654.i | 0.226127 | + | 0.130555i | ||||
\(557\) | 6.61232e6 | + | 3.81763e6i | 0.903059 | + | 0.521381i | 0.878191 | − | 0.478310i | \(-0.158750\pi\) |
0.0248673 | + | 0.999691i | \(0.492084\pi\) | |||||||
\(558\) | 6.88720e6 | − | 1.74437e6i | 0.936391 | − | 0.237167i | ||||
\(559\) | − | 2.50575e6i | − | 0.339163i | ||||||
\(560\) | −1.75259e6 | + | 1.73936e6i | −0.236162 | + | 0.234380i | ||||
\(561\) | −188383. | − | 249029.i | −0.0252717 | − | 0.0334074i | ||||
\(562\) | −4.38471e6 | − | 7.59454e6i | −0.585599 | − | 1.01429i | ||||
\(563\) | −1.08788e6 | + | 1.88427e6i | −0.144648 | + | 0.250537i | −0.929241 | − | 0.369473i | \(-0.879538\pi\) |
0.784594 | + | 0.620010i | \(0.212871\pi\) | |||||||
\(564\) | 107662. | + | 863576.i | 0.0142517 | + | 0.114315i | ||||
\(565\) | −1.13762e6 | + | 656807.i | −0.149926 | + | 0.0865599i | ||||
\(566\) | 6.86531e6 | 0.900780 | ||||||||
\(567\) | −7.45270e6 | + | 1.74920e6i | −0.973544 | + | 0.228498i | ||||
\(568\) | 3.13656e6 | 0.407927 | ||||||||
\(569\) | 7.26339e6 | − | 4.19352e6i | 0.940500 | − | 0.542998i | 0.0503832 | − | 0.998730i | \(-0.483956\pi\) |
0.890117 | + | 0.455732i | \(0.150622\pi\) | |||||||
\(570\) | −518822. | − | 4.16155e6i | −0.0668853 | − | 0.536497i | ||||
\(571\) | −1.27236e6 | + | 2.20380e6i | −0.163313 | + | 0.282867i | −0.936055 | − | 0.351854i | \(-0.885551\pi\) |
0.772742 | + | 0.634720i | \(0.218885\pi\) | |||||||
\(572\) | 286097. | + | 495534.i | 0.0365614 | + | 0.0633262i | ||||
\(573\) | −4.97326e6 | − | 6.57430e6i | −0.632783 | − | 0.836494i | ||||
\(574\) | 1.31780e7 | − | 3.47759e6i | 1.66944 | − | 0.440554i | ||||
\(575\) | 7.59813e6i | 0.958379i | ||||||||
\(576\) | 1.88209e6 | − | 476690.i | 0.236365 | − | 0.0598660i | ||||
\(577\) | −8.83680e6 | − | 5.10193e6i | −1.10498 | − | 0.637962i | −0.167458 | − | 0.985879i | \(-0.553556\pi\) |
−0.937525 | + | 0.347917i | \(0.886889\pi\) | |||||||
\(578\) | −8.10965e6 | − | 4.68211e6i | −1.00968 | − | 0.582938i | ||||
\(579\) | 1.36758e6 | + | 577509.i | 0.169534 | + | 0.0715917i | ||||
\(580\) | − | 1.53858e6i | − | 0.189911i | ||||||
\(581\) | −1.34898e7 | − | 3.66941e6i | −1.65793 | − | 0.450978i | ||||
\(582\) | −2.13004e6 | + | 1.61131e6i | −0.260664 | + | 0.197184i | ||||
\(583\) | −1.74360e6 | − | 3.02001e6i | −0.212459 | − | 0.367990i | ||||
\(584\) | 3.06759e6 | − | 5.31322e6i | 0.372190 | − | 0.644652i | ||||
\(585\) | −1.08282e6 | + | 1.05347e6i | −0.130818 | + | 0.127272i | ||||
\(586\) | −1.14723e7 | + | 6.62356e6i | −1.38009 | + | 0.796797i | ||||
\(587\) | −1.90974e6 | −0.228760 | −0.114380 | − | 0.993437i | \(-0.536488\pi\) | ||||
−0.114380 | + | 0.993437i | \(0.536488\pi\) | |||||||
\(588\) | 2.23561e6 | + | 3.00232e6i | 0.266657 | + | 0.358107i | ||||
\(589\) | −1.13940e7 | −1.35329 | ||||||||
\(590\) | 687828. | − | 397118.i | 0.0813486 | − | 0.0469666i | ||||
\(591\) | −1.09171e7 | + | 1.36104e6i | −1.28570 | + | 0.160289i | ||||
\(592\) | 2.34916e6 | − | 4.06887e6i | 0.275492 | − | 0.477166i | ||||
\(593\) | 4.84251e6 | + | 8.38747e6i | 0.565502 | + | 0.979477i | 0.997003 | + | 0.0773651i | \(0.0246507\pi\) |
−0.431501 | + | 0.902112i | \(0.642016\pi\) | |||||||
\(594\) | 900175. | + | 2.30654e6i | 0.104679 | + | 0.268222i | ||||
\(595\) | −388996. | − | 105812.i | −0.0450456 | − | 0.0122530i | ||||
\(596\) | − | 402239.i | − | 0.0463841i | ||||||
\(597\) | 529452. | − | 1.25378e6i | 0.0607982 | − | 0.143974i | ||||
\(598\) | 6.42939e6 | + | 3.71201e6i | 0.735220 | + | 0.424479i | ||||
\(599\) | −3.49308e6 | − | 2.01673e6i | −0.397779 | − | 0.229658i | 0.287746 | − | 0.957707i | \(-0.407094\pi\) |
−0.685525 | + | 0.728049i | \(0.740427\pi\) | |||||||
\(600\) | 2.12115e6 | − | 5.02303e6i | 0.240543 | − | 0.569624i | ||||
\(601\) | 1.16260e7i | 1.31293i | 0.754356 | + | 0.656466i | \(0.227949\pi\) | ||||
−0.754356 | + | 0.656466i | \(0.772051\pi\) | |||||||
\(602\) | −5.12640e6 | + | 1.35283e6i | −0.576529 | + | 0.152143i | ||||
\(603\) | 2.90481e6 | − | 1.02742e7i | 0.325330 | − | 1.15068i | ||||
\(604\) | −46768.1 | − | 81004.7i | −0.00521624 | − | 0.00903479i | ||||
\(605\) | −1.13214e6 | + | 1.96092e6i | −0.125751 | + | 0.217807i | ||||
\(606\) | 8.21541e6 | − | 1.02422e6i | 0.908757 | − | 0.113295i | ||||
\(607\) | 6.50750e6 | − | 3.75711e6i | 0.716873 | − | 0.413887i | −0.0967276 | − | 0.995311i | \(-0.530838\pi\) |
0.813601 | + | 0.581424i | \(0.197504\pi\) | |||||||
\(608\) | 1.28122e7 | 1.40561 | ||||||||
\(609\) | 1.44461e7 | + | 2.05870e6i | 1.57836 | + | 0.224932i | ||||
\(610\) | 2.04901e6 | 0.222956 | ||||||||
\(611\) | −1.41061e6 | + | 814415.i | −0.152863 | + | 0.0882557i | ||||
\(612\) | −504777. | − | 518841.i | −0.0544780 | − | 0.0559958i | ||||
\(613\) | −1.87051e6 | + | 3.23983e6i | −0.201053 | + | 0.348233i | −0.948868 | − | 0.315674i | \(-0.897770\pi\) |
0.747815 | + | 0.663907i | \(0.231103\pi\) | |||||||
\(614\) | −6.72880e6 | − | 1.16546e7i | −0.720305 | − | 1.24761i | ||||
\(615\) | 2.86505e6 | − | 2.16732e6i | 0.305453 | − | 0.231066i | ||||
\(616\) | −1.06533e6 | + | 1.05730e6i | −0.113119 | + | 0.112265i | ||||
\(617\) | 1.48513e7i | 1.57055i | 0.619146 | + | 0.785276i | \(0.287479\pi\) | ||||
−0.619146 | + | 0.785276i | \(0.712521\pi\) | |||||||
\(618\) | 9.57398e6 | + | 4.04294e6i | 1.00837 | + | 0.425820i | ||||
\(619\) | 7.24514e6 | + | 4.18298e6i | 0.760011 | + | 0.438793i | 0.829300 | − | 0.558804i | \(-0.188740\pi\) |
−0.0692886 | + | 0.997597i | \(0.522073\pi\) | |||||||
\(620\) | −793029. | − | 457855.i | −0.0828533 | − | 0.0478354i | ||||
\(621\) | 7.74078e6 | + | 6.19726e6i | 0.805482 | + | 0.644868i | ||||
\(622\) | 7.28969e6i | 0.755497i | ||||||||
\(623\) | 4.52453e6 | + | 1.71453e7i | 0.467040 | + | 1.76980i | ||||
\(624\) | −5.00647e6 | − | 6.61820e6i | −0.514719 | − | 0.680423i | ||||
\(625\) | −3.86491e6 | − | 6.69421e6i | −0.395766 | − | 0.685488i | ||||
\(626\) | 1.41607e6 | − | 2.45271e6i | 0.144428 | − | 0.250156i | ||||
\(627\) | −491240. | − | 3.94031e6i | −0.0499028 | − | 0.400278i | ||||
\(628\) | −843441. | + | 486961.i | −0.0853406 | + | 0.0492714i | ||||
\(629\) | 767065. | 0.0773047 | ||||||||
\(630\) | 2.73985e6 | + | 1.64654e6i | 0.275027 | + | 0.165280i | ||||
\(631\) | 8.21939e6 | 0.821800 | 0.410900 | − | 0.911680i | \(-0.365215\pi\) | ||||
0.410900 | + | 0.911680i | \(0.365215\pi\) | |||||||
\(632\) | 5.23004e6 | − | 3.01957e6i | 0.520850 | − | 0.300713i | ||||
\(633\) | −637668. | − | 5.11483e6i | −0.0632536 | − | 0.507367i | ||||
\(634\) | −9.83832e6 | + | 1.70405e7i | −0.972071 | + | 1.68368i | ||||
\(635\) | 1.05577e6 | + | 1.82866e6i | 0.103905 | + | 0.179969i | ||||
\(636\) | −4.87710e6 | − | 6.44718e6i | −0.478100 | − | 0.632015i | ||||
\(637\) | −3.54889e6 | + | 6.04072e6i | −0.346533 | + | 0.589848i | ||||
\(638\) | − | 4.71958e6i | − | 0.459041i | ||||||
\(639\) | −1.55289e6 | − | 6.13119e6i | −0.150449 | − | 0.594009i | ||||
\(640\) | −2.69933e6 | − | 1.55846e6i | −0.260499 | − | 0.150399i | ||||
\(641\) | 4.27272e6 | + | 2.46686e6i | 0.410733 | + | 0.237137i | 0.691104 | − | 0.722755i | \(-0.257124\pi\) |
−0.280372 | + | 0.959891i | \(0.590458\pi\) | |||||||
\(642\) | 1.31990e7 | + | 5.57373e6i | 1.26387 | + | 0.533714i | ||||
\(643\) | 1.06965e7i | 1.02027i | 0.860094 | + | 0.510135i | \(0.170405\pi\) | ||||
−0.860094 | + | 0.510135i | \(0.829595\pi\) | |||||||
\(644\) | 1.27266e6 | − | 4.67868e6i | 0.120920 | − | 0.444538i | ||||
\(645\) | −1.11454e6 | + | 843115.i | −0.105486 | + | 0.0797971i | ||||
\(646\) | 1.88051e6 | + | 3.25714e6i | 0.177294 | + | 0.307083i | ||||
\(647\) | 4.35883e6 | − | 7.54972e6i | 0.409364 | − | 0.709039i | −0.585455 | − | 0.810705i | \(-0.699084\pi\) |
0.994819 | + | 0.101666i | \(0.0324173\pi\) | |||||||
\(648\) | −3.38727e6 | − | 6.25791e6i | −0.316892 | − | 0.585453i | ||||
\(649\) | 651262. | − | 376006.i | 0.0606937 | − | 0.0350415i | ||||
\(650\) | −8.23186e6 | −0.764213 | ||||||||
\(651\) | 5.36003e6 | − | 6.83330e6i | 0.495695 | − | 0.631943i | ||||
\(652\) | −6.05524e6 | −0.557844 | ||||||||
\(653\) | −8.54082e6 | + | 4.93104e6i | −0.783820 | + | 0.452539i | −0.837783 | − | 0.546004i | \(-0.816148\pi\) |
0.0539621 | + | 0.998543i | \(0.482815\pi\) | |||||||
\(654\) | 7.90698e6 | − | 985766.i | 0.722880 | − | 0.0901218i | ||||
\(655\) | 1.14240e6 | − | 1.97869e6i | 0.104043 | − | 0.180208i | ||||
\(656\) | 9.86678e6 | + | 1.70898e7i | 0.895192 | + | 1.55052i | ||||
\(657\) | −1.19048e7 | − | 3.36583e6i | −1.07599 | − | 0.304214i | ||||
\(658\) | 2.42774e6 | + | 2.44620e6i | 0.218594 | + | 0.220256i | ||||
\(659\) | − | 7.63431e6i | − | 0.684788i | −0.939556 | − | 0.342394i | \(-0.888762\pi\) | ||
0.939556 | − | 0.342394i | \(-0.111238\pi\) | |||||||
\(660\) | 124146. | − | 293986.i | 0.0110936 | − | 0.0262704i | ||||
\(661\) | 1.21457e7 | + | 7.01235e6i | 1.08124 | + | 0.624252i | 0.931229 | − | 0.364434i | \(-0.118737\pi\) |
0.150006 | + | 0.988685i | \(0.452071\pi\) | |||||||
\(662\) | −2.04897e7 | − | 1.18297e7i | −1.81715 | − | 1.04913i | ||||
\(663\) | 527063. | − | 1.24812e6i | 0.0465670 | − | 0.110274i | ||||
\(664\) | − | 1.29949e7i | − | 1.14381i | ||||||
\(665\) | −3.61117e6 | − | 3.63863e6i | −0.316661 | − | 0.319068i | ||||
\(666\) | −5.85286e6 | − | 1.65478e6i | −0.511308 | − | 0.144562i | ||||
\(667\) | −9.45065e6 | − | 1.63690e7i | −0.822521 | − | 1.42465i | ||||
\(668\) | −220857. | + | 382535.i | −0.0191500 | + | 0.0331688i | ||||
\(669\) | 3.59698e6 | − | 448436.i | 0.310722 | − | 0.0387379i | ||||
\(670\) | −3.86100e6 | + | 2.22915e6i | −0.332286 | + | 0.191846i | ||||
\(671\) | 1.94008e6 | 0.166347 | ||||||||
\(672\) | −6.02717e6 | + | 7.68381e6i | −0.514861 | + | 0.656377i | ||||
\(673\) | −1.03156e7 | −0.877920 | −0.438960 | − | 0.898507i | \(-0.644653\pi\) | ||||
−0.438960 | + | 0.898507i | \(0.644653\pi\) | |||||||
\(674\) | −5.40229e6 | + | 3.11902e6i | −0.458067 | + | 0.264465i | ||||
\(675\) | −1.08690e7 | − | 1.65945e6i | −0.918182 | − | 0.140186i | ||||
\(676\) | 1.41107e6 | − | 2.44405e6i | 0.118763 | − | 0.205704i | ||||
\(677\) | −2.26863e6 | − | 3.92938e6i | −0.190236 | − | 0.329498i | 0.755093 | − | 0.655618i | \(-0.227592\pi\) |
−0.945328 | + | 0.326120i | \(0.894259\pi\) | |||||||
\(678\) | −7.44981e6 | + | 5.63556e6i | −0.622402 | + | 0.470828i | ||||
\(679\) | −856935. | + | 3.15035e6i | −0.0713302 | + | 0.262231i | ||||
\(680\) | − | 374725.i | − | 0.0310771i | ||||||
\(681\) | −6.43714e6 | − | 2.71831e6i | −0.531894 | − | 0.224611i | ||||
\(682\) | −2.43261e6 | − | 1.40447e6i | −0.200268 | − | 0.115625i | ||||
\(683\) | −780773. | − | 450779.i | −0.0640432 | − | 0.0369754i | 0.467636 | − | 0.883921i | \(-0.345106\pi\) |
−0.531680 | + | 0.846946i | \(0.678439\pi\) | |||||||
\(684\) | −2.26010e6 | − | 8.92342e6i | −0.184709 | − | 0.729274i | ||||
\(685\) | − | 1.34585e6i | − | 0.109590i | ||||||
\(686\) | 1.42744e7 | + | 3.99920e6i | 1.15811 | + | 0.324461i | ||||
\(687\) | 5.41844e6 | + | 7.16280e6i | 0.438009 | + | 0.579016i | ||||
\(688\) | −3.83830e6 | − | 6.64812e6i | −0.309149 | − | 0.535461i | ||||
\(689\) | 7.56530e6 | − | 1.31035e7i | 0.607125 | − | 1.05157i | ||||
\(690\) | −512236. | − | 4.10873e6i | −0.0409589 | − | 0.328537i | ||||
\(691\) | 1.48175e7 | − | 8.55486e6i | 1.18053 | − | 0.681582i | 0.224396 | − | 0.974498i | \(-0.427959\pi\) |
0.956138 | + | 0.292916i | \(0.0946257\pi\) | |||||||
\(692\) | −2.56059e6 | −0.203271 | ||||||||
\(693\) | 2.59419e6 | + | 1.55901e6i | 0.205196 | + | 0.123315i | ||||
\(694\) | −8.42220e6 | −0.663784 | ||||||||
\(695\) | 1.72061e6 | − | 993395.i | 0.135120 | − | 0.0780117i | ||||
\(696\) | 1.67802e6 | + | 1.34597e7i | 0.131303 | + | 1.05320i | ||||
\(697\) | −1.61089e6 | + | 2.79014e6i | −0.125598 | + | 0.217542i | ||||
\(698\) | 7.48050e6 | + | 1.29566e7i | 0.581155 | + | 1.00659i | ||||
\(699\) | 3.82730e6 | + | 5.05942e6i | 0.296278 | + | 0.391658i | ||||
\(700\) | 1.37181e6 | + | 5.19832e6i | 0.105815 | + | 0.400976i | ||||
\(701\) | − | 2.02857e6i | − | 0.155917i | −0.996957 | − | 0.0779587i | \(-0.975160\pi\) | ||
0.996957 | − | 0.0779587i | \(-0.0248402\pi\) | |||||||
\(702\) | −6.71415e6 | + | 8.38641e6i | −0.514219 | + | 0.642293i | ||||
\(703\) | 8.44757e6 | + | 4.87721e6i | 0.644679 | + | 0.372206i | ||||
\(704\) | −664768. | − | 383804.i | −0.0505520 | − | 0.0291862i | ||||
\(705\) | 836874. | + | 353399.i | 0.0634143 | + | 0.0267789i | ||||
\(706\) | − | 1.81592e7i | − | 1.37115i | ||||||
\(707\) | 7.18311e6 | − | 7.12890e6i | 0.540461 | − | 0.536382i | ||||
\(708\) | 1.39033e6 | − | 1.05174e6i | 0.104240 | − | 0.0788545i | ||||
\(709\) | 8.39469e6 | + | 1.45400e7i | 0.627176 | + | 1.08630i | 0.988116 | + | 0.153711i | \(0.0491225\pi\) |
−0.360940 | + | 0.932589i | \(0.617544\pi\) | |||||||
\(710\) | −1.32050e6 | + | 2.28718e6i | −0.0983090 | + | 0.170276i | ||||
\(711\) | −8.49188e6 | − | 8.72848e6i | −0.629984 | − | 0.647537i | ||||
\(712\) | −1.42745e7 | + | 8.24140e6i | −1.05527 | + | 0.609258i | ||||
\(713\) | −1.12494e7 | −0.828718 | ||||||||
\(714\) | −2.83803e6 | − | 404446.i | −0.208339 | − | 0.0296904i | ||||
\(715\) | 597290. | 0.0436939 | ||||||||
\(716\) | 1.75922e6 | − | 1.01569e6i | 0.128244 | − | 0.0740418i | ||||
\(717\) | 4.11701e6 | − | 513269.i | 0.299078 | − | 0.0372861i | ||||
\(718\) | 1.54709e7 | − | 2.67964e7i | 1.11996 | − | 1.93983i | ||||
\(719\) | −1.31852e7 | − | 2.28374e7i | −0.951183 | − | 1.64750i | −0.742871 | − | 0.669435i | \(-0.766536\pi\) |
−0.208312 | − | 0.978062i | \(-0.566797\pi\) | |||||||
\(720\) | −1.25918e6 | + | 4.45367e6i | −0.0905228 | + | 0.320175i | ||||
\(721\) | 1.22833e7 | − | 3.24150e6i | 0.879991 | − | 0.232224i | ||||
\(722\) | 3.09811e7i | 2.21184i | ||||||||
\(723\) | −2.35587e6 | + | 5.57887e6i | −0.167612 | + | 0.396918i | ||||
\(724\) | 3.97723e6 | + | 2.29625e6i | 0.281990 | + | 0.162807i | ||||
\(725\) | 1.81502e7 | + | 1.04790e7i | 1.28244 | + | 0.740415i | ||||
\(726\) | −6.26381e6 | + | 1.48332e7i | −0.441060 | + | 1.04446i | ||||
\(727\) | 1.63660e7i | 1.14844i | 0.818702 | + | 0.574218i | \(0.194694\pi\) | ||||
−0.818702 | + | 0.574218i | \(0.805306\pi\) | |||||||
\(728\) | −6.28407e6 | − | 1.70935e6i | −0.439453 | − | 0.119537i | ||||
\(729\) | −1.05557e7 | + | 9.71953e6i | −0.735642 | + | 0.677371i | ||||
\(730\) | 2.58293e6 | + | 4.47377e6i | 0.179393 | + | 0.310718i | ||||
\(731\) | 626654. | − | 1.08540e6i | 0.0433745 | − | 0.0751268i | ||||
\(732\) | 4.46297e6 | − | 556401.i | 0.307855 | − | 0.0383804i | ||||
\(733\) | −2.29516e7 | + | 1.32511e7i | −1.57781 | + | 0.910946i | −0.582640 | + | 0.812730i | \(0.697980\pi\) |
−0.995165 | + | 0.0982164i | \(0.968686\pi\) | |||||||
\(734\) | 1.45261e7 | 0.995196 | ||||||||
\(735\) | 3.88096e6 | − | 454013.i | 0.264985 | − | 0.0309992i | ||||
\(736\) | 1.26496e7 | 0.860759 | ||||||||
\(737\) | −3.65574e6 | + | 2.11064e6i | −0.247917 | + | 0.143135i | ||||
\(738\) | 1.83105e7 | − | 1.78142e7i | 1.23754 | − | 1.20399i | ||||
\(739\) | 6.83956e6 | − | 1.18465e7i | 0.460698 | − | 0.797953i | −0.538297 | − | 0.842755i | \(-0.680932\pi\) |
0.998996 | + | 0.0448018i | \(0.0142656\pi\) | |||||||
\(740\) | 391969. | + | 678910.i | 0.0263131 | + | 0.0455756i | ||||
\(741\) | 1.37404e7 | − | 1.03942e7i | 0.919290 | − | 0.695416i | ||||
\(742\) | −3.08922e7 | − | 8.40308e6i | −2.05987 | − | 0.560310i | ||||
\(743\) | − | 9.39766e6i | − | 0.624522i | −0.949996 | − | 0.312261i | \(-0.898914\pi\) | ||
0.949996 | − | 0.312261i | \(-0.101086\pi\) | |||||||
\(744\) | 7.43687e6 | + | 3.14047e6i | 0.492558 | + | 0.208000i | ||||
\(745\) | −363629. | − | 209941.i | −0.0240031 | − | 0.0138582i | ||||
\(746\) | −1.91993e7 | − | 1.10847e7i | −1.26310 | − | 0.729251i | ||||
\(747\) | −2.54019e7 | + | 6.43373e6i | −1.66558 | + | 0.421853i | ||||
\(748\) | 286195.i | 0.0187029i | ||||||||
\(749\) | 1.69342e7 | − | 4.46883e6i | 1.10296 | − | 0.291065i | ||||
\(750\) | 5.75183e6 | + | 7.60351e6i | 0.373381 | + | 0.493584i | ||||
\(751\) | 6.75217e6 | + | 1.16951e7i | 0.436862 | + | 0.756666i | 0.997446 | − | 0.0714312i | \(-0.0227566\pi\) |
−0.560584 | + | 0.828098i | \(0.689423\pi\) | |||||||
\(752\) | −2.49503e6 | + | 4.32152e6i | −0.160891 | + | 0.278671i | ||||
\(753\) | 2.11504e6 | + | 1.69650e7i | 0.135935 | + | 1.09035i | ||||
\(754\) | 1.77343e7 | − | 1.02389e7i | 1.13602 | − | 0.655880i | ||||
\(755\) | −97638.9 | −0.00623383 | ||||||||
\(756\) | 6.41481e6 | + | 2.84235e6i | 0.408206 | + | 0.180873i | ||||
\(757\) | −7.36283e6 | −0.466987 | −0.233494 | − | 0.972358i | \(-0.575016\pi\) | ||||
−0.233494 | + | 0.972358i | \(0.575016\pi\) | |||||||
\(758\) | 1.95624e7 | − | 1.12944e7i | 1.23666 | − | 0.713984i | ||||
\(759\) | −485005. | − | 3.89030e6i | −0.0305592 | − | 0.245120i | ||||
\(760\) | 2.38260e6 | − | 4.12679e6i | 0.149630 | − | 0.259166i | ||||
\(761\) | −1.24156e6 | − | 2.15044e6i | −0.0777150 | − | 0.134606i | 0.824549 | − | 0.565791i | \(-0.191429\pi\) |
−0.902264 | + | 0.431185i | \(0.858096\pi\) | |||||||
\(762\) | 9.05879e6 | + | 1.19751e7i | 0.565175 | + | 0.747121i | ||||
\(763\) | 6.91343e6 | − | 6.86126e6i | 0.429915 | − | 0.426671i | ||||
\(764\) | 7.55547e6i | 0.468304i | ||||||||
\(765\) | −732496. | + | 185525.i | −0.0452534 | + | 0.0114617i | ||||
\(766\) | −2.03981e7 | − | 1.17769e7i | −1.25608 | − | 0.725201i | ||||
\(767\) | 2.82576e6 | + | 1.63145e6i | 0.173439 | + | 0.100135i | ||||
\(768\) | −1.67472e7 | − | 7.07209e6i | −1.02457 | − | 0.432658i | ||||
\(769\) | − | 2.15050e7i | − | 1.31136i | −0.755038 | − | 0.655681i | \(-0.772382\pi\) | ||
0.755038 | − | 0.655681i | \(-0.227618\pi\) | |||||||
\(770\) | −322470. | − | 1.22197e6i | −0.0196003 | − | 0.0742733i | ||||
\(771\) | 1.24723e6 | − | 943492.i | 0.0755632 | − | 0.0571614i | ||||
\(772\) | −680311. | − | 1.17833e6i | −0.0410832 | − | 0.0711582i | ||||
\(773\) | 4.96275e6 | − | 8.59573e6i | 0.298726 | − | 0.517409i | −0.677119 | − | 0.735874i | \(-0.736772\pi\) |
0.975845 | + | 0.218465i | \(0.0701049\pi\) | |||||||
\(774\) | −7.12300e6 | + | 6.92992e6i | −0.427376 | + | 0.415792i | ||||
\(775\) | 1.08024e7 | − | 6.23676e6i | 0.646049 | − | 0.372996i | ||||
\(776\) | −3.03478e6 | −0.180914 | ||||||||
\(777\) | −6.89892e6 | + | 2.77187e6i | −0.409948 | + | 0.164710i | ||||
\(778\) | 1.69551e7 | 1.00427 | ||||||||
\(779\) | −3.54809e7 | + | 2.04849e7i | −2.09484 | + | 1.20946i | ||||
\(780\) | 1.37401e6 | − | 171298.i | 0.0808636 | − | 0.0100813i | ||||
\(781\) | −1.25030e6 | + | 2.16558e6i | −0.0733478 | + | 0.127042i | ||||
\(782\) | 1.85664e6 | + | 3.21580e6i | 0.108570 | + | 0.188050i | ||||
\(783\) | 2.54796e7 | − | 9.94393e6i | 1.48521 | − | 0.579634i | ||||
\(784\) | −162587. | + | 2.14631e7i | −0.00944703 | + | 1.24710i | ||||
\(785\) | 1.01664e6i | 0.0588834i | ||||||||
\(786\) | 6.32059e6 | − | 1.49676e7i | 0.364923 | − | 0.864163i | ||||
\(787\) | −897903. | − | 518404.i | −0.0516764 | − | 0.0298354i | 0.473939 | − | 0.880558i | \(-0.342832\pi\) |
−0.525616 | + | 0.850722i | \(0.676165\pi\) | |||||||
\(788\) | 8.73253e6 | + | 5.04173e6i | 0.500985 | + | 0.289244i | ||||
\(789\) | 7.91352e6 | − | 1.87398e7i | 0.452561 | − | 1.07170i | ||||
\(790\) | 5.08500e6i | 0.289883i | ||||||||
\(791\) | −2.99712e6 | + | 1.10183e7i | −0.170319 | + | 0.626144i | ||||
\(792\) | −765412. | + | 2.70723e6i | −0.0433593 | + | 0.153360i | ||||
\(793\) | 4.20891e6 | + | 7.29004e6i | 0.237677 | + | 0.411668i | ||||
\(794\) | −1.03699e7 | + | 1.79611e7i | −0.583743 | + | 1.01107i | ||||
\(795\) | −8.37383e6 | + | 1.04397e6i | −0.469901 | + | 0.0585827i | ||||
\(796\) | −1.08028e6 | + | 623699.i | −0.0604301 | + | 0.0348893i | ||||
\(797\) | −1.52399e7 | −0.849838 | −0.424919 | − | 0.905231i | \(-0.639697\pi\) | ||||
−0.424919 | + | 0.905231i | \(0.639697\pi\) | |||||||
\(798\) | −2.86832e7 | − | 2.24991e7i | −1.59448 | − | 1.25071i | ||||
\(799\) | −814695. | −0.0451469 | ||||||||
\(800\) | −1.21469e7 | + | 7.01302e6i | −0.671028 | + | 0.387418i | ||||
\(801\) | 2.31772e7 | + | 2.38229e7i | 1.27638 | + | 1.31194i | ||||
\(802\) | −175438. | + | 303867.i | −0.00963135 | + | 0.0166820i | ||||
\(803\) | 2.44562e6 | + | 4.23593e6i | 0.133844 | + | 0.231825i | ||||
\(804\) | −7.80435e6 | + | 5.90376e6i | −0.425791 | + | 0.322099i | ||||
\(805\) | −3.56534e6 | − | 3.59245e6i | −0.193915 | − | 0.195389i | ||||
\(806\) | − | 1.21877e7i | − | 0.660821i | ||||||
\(807\) | −1.81046e7 | − | 7.64530e6i | −0.978601 | − | 0.413248i | ||||
\(808\) | 8.14680e6 | + | 4.70356e6i | 0.438994 | + | 0.253453i | ||||
\(809\) | 4.72275e6 | + | 2.72668e6i | 0.253702 | + | 0.146475i | 0.621458 | − | 0.783447i | \(-0.286541\pi\) |
−0.367756 | + | 0.929922i | \(0.619874\pi\) | |||||||
\(810\) | 5.98932e6 | + | 164610.i | 0.320749 | + | 0.00881541i | ||||
\(811\) | − | 9.69507e6i | − | 0.517605i | −0.965930 | − | 0.258803i | \(-0.916672\pi\) | ||
0.965930 | − | 0.258803i | \(-0.0833279\pi\) | |||||||
\(812\) | −9.42108e6 | − | 9.49272e6i | −0.501430 | − | 0.505243i | ||||
\(813\) | 1.17310e7 | + | 1.55075e7i | 0.622456 | + | 0.822842i | ||||
\(814\) | 1.20236e6 | + | 2.08255e6i | 0.0636025 | + | 0.110163i | ||||
\(815\) | −3.16042e6 | + | 5.47400e6i | −0.166667 | + | 0.288676i | ||||
\(816\) | −513492. | − | 4.11880e6i | −0.0269966 | − | 0.216544i | ||||
\(817\) | 1.38025e7 | − | 7.96886e6i | 0.723439 | − | 0.417678i | ||||
\(818\) | −3.08824e7 | −1.61372 | ||||||||
\(819\) | −230142. | + | 1.31301e7i | −0.0119891 | + | 0.684004i | ||||
\(820\) | −3.29264e6 | −0.171005 | ||||||||
\(821\) | 1.41785e7 | − | 8.18596e6i | 0.734129 | − | 0.423849i | −0.0858020 | − | 0.996312i | \(-0.527345\pi\) |
0.819931 | + | 0.572463i | \(0.194012\pi\) | |||||||
\(822\) | −1.18399e6 | − | 9.49694e6i | −0.0611178 | − | 0.490235i | ||||
\(823\) | −1.18770e7 | + | 2.05715e7i | −0.611233 | + | 1.05869i | 0.379800 | + | 0.925069i | \(0.375993\pi\) |
−0.991033 | + | 0.133618i | \(0.957341\pi\) | |||||||
\(824\) | 5.90436e6 | + | 1.02267e7i | 0.302939 | + | 0.524706i | ||||
\(825\) | 2.62254e6 | + | 3.46681e6i | 0.134149 | + | 0.177335i | ||||
\(826\) | 1.81212e6 | − | 6.66188e6i | 0.0924136 | − | 0.339740i | ||||
\(827\) | − | 2.87632e7i | − | 1.46242i | −0.682151 | − | 0.731211i | \(-0.738955\pi\) | ||
0.682151 | − | 0.731211i | \(-0.261045\pi\) | |||||||
\(828\) | −2.23141e6 | − | 8.81016e6i | −0.113111 | − | 0.446589i | ||||
\(829\) | −3.19576e7 | − | 1.84508e7i | −1.61506 | − | 0.932455i | −0.988173 | − | 0.153344i | \(-0.950996\pi\) |
−0.626886 | − | 0.779111i | \(-0.715671\pi\) | |||||||
\(830\) | 9.47592e6 | + | 5.47092e6i | 0.477448 | + | 0.275655i | ||||
\(831\) | −9.46215e6 | − | 3.99572e6i | −0.475321 | − | 0.200721i | ||||
\(832\) | − | 3.33057e6i | − | 0.166805i | ||||||
\(833\) | −3.04794e6 | + | 1.72908e6i | −0.152193 | + | 0.0863380i | ||||
\(834\) | 1.12675e7 | − | 8.52356e6i | 0.560937 | − | 0.424332i | ||||
\(835\) | 230544. | + | 399314.i | 0.0114429 | + | 0.0198197i | ||||
\(836\) | −1.81970e6 | + | 3.15182e6i | −0.0900503 | + | 0.155972i | ||||
\(837\) | 2.45690e6 | − | 1.60921e7i | 0.121220 | − | 0.793960i | ||||
\(838\) | −1.11404e7 | + | 6.43194e6i | −0.548015 | + | 0.316397i | ||||
\(839\) | 2.41096e7 | 1.18246 | 0.591229 | − | 0.806504i | \(-0.298643\pi\) | ||||
0.591229 | + | 0.806504i | \(0.298643\pi\) | |||||||
\(840\) | 1.35411e6 | + | 3.37025e6i | 0.0662148 | + | 0.164803i | ||||
\(841\) | −3.16245e7 | −1.54182 | ||||||||
\(842\) | 2.97487e7 | − | 1.71754e7i | 1.44607 | − | 0.834887i | ||||
\(843\) | −1.99385e7 | + | 2.48575e6i | −0.966328 | + | 0.120473i | ||||
\(844\) | −2.36212e6 | + | 4.09131e6i | −0.114142 | + | 0.197700i | ||||
\(845\) | −1.47296e6 | − | 2.55124e6i | −0.0709659 | − | 0.122917i | ||||
\(846\) | 6.21629e6 | + | 1.75753e6i | 0.298611 | + | 0.0844260i | ||||
\(847\) | 5.02212e6 | + | 1.90308e7i | 0.240535 | + | 0.911484i | ||||
\(848\) | − | 4.63539e7i | − | 2.21359i | ||||||
\(849\) | 6.11933e6 | − | 1.44910e7i | 0.291363 | − | 0.689969i | ||||
\(850\) | −3.56572e6 | − | 2.05867e6i | −0.169278 | − | 0.0977327i | ||||
\(851\) | 8.34035e6 | + | 4.81530e6i | 0.394785 | + | 0.227929i | ||||
\(852\) | −2.25512e6 | + | 5.34030e6i | −0.106432 | + | 0.252038i | ||||
\(853\) | 1.08498e7i | 0.510561i | 0.966867 | + | 0.255281i | \(0.0821678\pi\) | ||||
−0.966867 | + | 0.255281i | \(0.917832\pi\) | |||||||
\(854\) | 1.26420e7 | − | 1.25466e7i | 0.593159 | − | 0.588683i | ||||
\(855\) | −9.24648e6 | − | 2.61425e6i | −0.432575 | − | 0.122302i | ||||
\(856\) | 8.13994e6 | + | 1.40988e7i | 0.379697 | + | 0.657654i | ||||
\(857\) | −1.45403e7 | + | 2.51845e7i | −0.676270 | + | 1.17133i | 0.299825 | + | 0.953994i | \(0.403072\pi\) |
−0.976096 | + | 0.217341i | \(0.930262\pi\) | |||||||
\(858\) | 4.21477e6 | − | 525457.i | 0.195459 | − | 0.0243679i | ||||
\(859\) | 3.18658e7 | − | 1.83977e7i | 1.47347 | − | 0.850709i | 0.473918 | − | 0.880569i | \(-0.342839\pi\) |
0.999554 | + | 0.0298598i | \(0.00950607\pi\) | |||||||
\(860\) | 1.28087e6 | 0.0590555 | ||||||||
\(861\) | 4.40574e6 | − | 3.09154e7i | 0.202540 | − | 1.42124i | ||||
\(862\) | 2.22372e7 | 1.01932 | ||||||||
\(863\) | 2.47342e6 | − | 1.42803e6i | 0.113050 | − | 0.0652695i | −0.442409 | − | 0.896814i | \(-0.645876\pi\) |
0.555459 | + | 0.831544i | \(0.312543\pi\) | |||||||
\(864\) | −2.76269e6 | + | 1.80950e7i | −0.125907 | + | 0.824657i | ||||
\(865\) | −1.33645e6 | + | 2.31480e6i | −0.0607314 | + | 0.105190i | ||||
\(866\) | 5.77575e6 | + | 1.00039e7i | 0.261706 | + | 0.453288i | ||||
\(867\) | −1.71113e7 | + | 1.29442e7i | −0.773099 | + | 0.584826i | ||||
\(868\) | −7.69639e6 | + | 2.03103e6i | −0.346727 | + | 0.0914992i | ||||
\(869\) | 4.81467e6i | 0.216280i | ||||||||
\(870\) | −1.05212e7 | − | 4.44296e6i | −0.471269 | − | 0.199010i | ||||
\(871\) | −1.58619e7 | − | 9.15785e6i | −0.708449 | − | 0.409023i | ||||
\(872\) | 7.84095e6 | + | 4.52697e6i | 0.349202 | + | 0.201612i | ||||
\(873\) | 1.50250e6 | + | 5.93224e6i | 0.0667236 | + | 0.263441i | ||||
\(874\) | 4.72202e7i | 2.09098i | ||||||||
\(875\) | 1.12456e7 | + | 3.05896e6i | 0.496551 | + | 0.135068i | ||||
\(876\) | 6.84074e6 | + | 9.04297e6i | 0.301192 | + | 0.398154i | ||||
\(877\) | 2.67593e6 | + | 4.63485e6i | 0.117483 | + | 0.203487i | 0.918770 | − | 0.394794i | \(-0.129184\pi\) |
−0.801286 | + | 0.598281i | \(0.795851\pi\) | |||||||
\(878\) | 1.50466e7 | − | 2.60615e7i | 0.658722 | − | 1.14094i | ||||
\(879\) | 3.75498e6 | + | 3.01192e7i | 0.163921 | + | 1.31484i | ||||
\(880\) | 1.58470e6 | − | 914925.i | 0.0689826 | − | 0.0398271i | ||||
\(881\) | −2.78347e6 | −0.120822 | −0.0604111 | − | 0.998174i | \(-0.519241\pi\) | ||||
−0.0604111 | + | 0.998174i | \(0.519241\pi\) | |||||||
\(882\) | 2.69865e7 | − | 6.61795e6i | 1.16809 | − | 0.286452i | ||||
\(883\) | −626626. | −0.0270462 | −0.0135231 | − | 0.999909i | \(-0.504305\pi\) | ||||
−0.0135231 | + | 0.999909i | \(0.504305\pi\) | |||||||
\(884\) | −1.07540e6 | + | 620885.i | −0.0462851 | + | 0.0267227i | ||||
\(885\) | −225131. | − | 1.80581e6i | −0.00966222 | − | 0.0775021i | ||||
\(886\) | −1.77577e7 | + | 3.07572e7i | −0.759979 | + | 1.31632i | ||||
\(887\) | 2.13727e7 | + | 3.70186e7i | 0.912117 | + | 1.57983i | 0.811068 | + | 0.584951i | \(0.198886\pi\) |
0.101049 | + | 0.994881i | \(0.467780\pi\) | |||||||
\(888\) | −4.16943e6 | − | 5.51169e6i | −0.177437 | − | 0.234559i | ||||
\(889\) | 1.77112e7 | + | 4.81768e6i | 0.751613 | + | 0.204448i | ||||
\(890\) | − | 1.38786e7i | − | 0.587316i | ||||||
\(891\) | 5.67091e6 | + | 155859.i | 0.239309 | + | 0.00657713i | ||||
\(892\) | −2.87719e6 | − | 1.66115e6i | −0.121076 | − | 0.0699030i | ||||
\(893\) | −8.97211e6 | − | 5.18005e6i | −0.376501 | − | 0.217373i | ||||
\(894\) | −2.75063e6 | − | 1.16155e6i | −0.115103 | − | 0.0486064i | ||||
\(895\) | − | 2.12047e6i | − | 0.0884861i | ||||||
\(896\) | −2.61972e7 | + | 6.91328e6i | −1.09015 | + | 0.287683i | ||||
\(897\) | 1.35660e7 | − | 1.02622e7i | 0.562950 | − | 0.425855i | ||||
\(898\) | 1.29359e7 | + | 2.24057e7i | 0.535312 | + | 0.927188i | ||||
\(899\) | −1.55147e7 | + | 2.68723e7i | −0.640242 | + | 1.10893i | ||||
\(900\) | 7.02715e6 | + | 7.22294e6i | 0.289183 | + | 0.297240i | ||||
\(901\) | 6.55400e6 | − | 3.78395e6i | 0.268964 | − | 0.155286i | ||||
\(902\) | −1.01002e7 | −0.413344 | ||||||||
\(903\) | −1.71388e6 | + | 1.20264e7i | −0.0699458 | + | 0.490815i | ||||
\(904\) | −1.06141e7 | −0.431979 | ||||||||
\(905\) | 4.15168e6 | − | 2.39697e6i | 0.168501 | − | 0.0972840i | ||||
\(906\) | −688987. | + | 85896.3i | −0.0278863 | + | 0.00347659i | ||||
\(907\) | −3.52054e6 | + | 6.09776e6i | −0.142099 | + | 0.246123i | −0.928287 | − | 0.371865i | \(-0.878719\pi\) |
0.786188 | + | 0.617988i | \(0.212052\pi\) | |||||||
\(908\) | 3.20219e6 | + | 5.54635e6i | 0.128894 | + | 0.223251i | ||||
\(909\) | 5.16086e6 | − | 1.82537e7i | 0.207163 | − | 0.732726i | ||||
\(910\) | 3.89208e6 | − | 3.86271e6i | 0.155804 | − | 0.154628i | ||||
\(911\) | 1.05335e6i | 0.0420509i | 0.999779 | + | 0.0210255i | \(0.00669310\pi\) | ||||
−0.999779 | + | 0.0210255i | \(0.993307\pi\) | |||||||
\(912\) | 2.05334e7 | − | 4.86246e7i | 0.817474 | − | 1.93584i | ||||
\(913\) | 8.97215e6 | + | 5.18008e6i | 0.356221 | + | 0.205664i | ||||
\(914\) | 1.08265e7 | + | 6.25067e6i | 0.428669 | + | 0.247492i | ||||
\(915\) | 1.82637e6 | − | 4.32498e6i | 0.0721168 | − | 0.170778i | ||||
\(916\) | − | 8.23180e6i | − | 0.324157i | ||||||
\(917\) | −5.06764e6 | − | 1.92033e7i | −0.199013 | − | 0.754141i | ||||
\(918\) | −5.00563e6 | + | 1.95355e6i | −0.196043 | + | 0.0765101i | ||||
\(919\) | −9.09983e6 | − | 1.57614e7i | −0.355422 | − | 0.615609i | 0.631768 | − | 0.775158i | \(-0.282330\pi\) |
−0.987190 | + | 0.159548i | \(0.948996\pi\) | |||||||
\(920\) | 2.35236e6 | − | 4.07441e6i | 0.0916294 | − | 0.158707i | ||||
\(921\) | −3.05978e7 | + | 3.81464e6i | −1.18861 | + | 0.148185i | ||||
\(922\) | 4.59443e7 | − | 2.65259e7i | 1.77993 | − | 1.02765i | ||||
\(923\) | −1.08499e7 | −0.419198 | ||||||||
\(924\) | −1.03419e6 | − | 2.57401e6i | −0.0398494 | − | 0.0991815i | ||||
\(925\) | −1.06785e7 | −0.410353 | ||||||||
\(926\) | −1.50133e6 | + | 866794.i | −0.0575372 | + | 0.0332191i | ||||
\(927\) | 1.70674e7 | − | 1.66047e7i | 0.652330 | − | 0.634648i | ||||
\(928\) | 1.74457e7 | − | 3.02169e7i | 0.664997 | − | 1.15181i | ||||
\(929\) | −1.68357e7 | − | 2.91603e7i | −0.640018 | − | 1.10854i | −0.985428 | − | 0.170091i | \(-0.945594\pi\) |
0.345411 | − | 0.938452i | \(-0.387740\pi\) | |||||||
\(930\) | −5.42098e6 | + | 4.10081e6i | −0.205528 | + | 0.155476i | ||||
\(931\) | −4.45604e7 | − | 337554.i | −1.68490 | − | 0.0127635i | ||||
\(932\) | − | 5.81450e6i | − | 0.219267i | ||||||
\(933\) | 1.53868e7 | + | 6.49760e6i | 0.578687 | + | 0.244371i | ||||
\(934\) | −2.93730e7 | − | 1.69585e7i | −1.10175 | − | 0.636094i | ||||
\(935\) | 258723. | + | 149374.i | 0.00967846 | + | 0.00558786i | ||||
\(936\) | −1.18332e7 | + | 2.99708e6i | −0.441481 | + | 0.111817i | ||||
\(937\) | − | 3.25239e7i | − | 1.21019i | −0.796153 | − | 0.605095i | \(-0.793135\pi\) | ||
0.796153 | − | 0.605095i | \(-0.206865\pi\) | |||||||
\(938\) | −1.01720e7 | + | 3.73952e7i | −0.377484 | + | 1.38774i | ||||
\(939\) | −3.91489e6 | − | 5.17520e6i | −0.144896 | − | 0.191542i | ||||
\(940\) | −416307. | − | 721065.i | −0.0153672 | − | 0.0266167i | ||||
\(941\) | −8.14740e6 | + | 1.41117e7i | −0.299947 | + | 0.519524i | −0.976124 | − | 0.217216i | \(-0.930302\pi\) |
0.676176 | + | 0.736740i | \(0.263636\pi\) | |||||||
\(942\) | 894373. | + | 7.17390e6i | 0.0328391 | + | 0.263407i | ||||
\(943\) | −3.50305e7 | + | 2.02249e7i | −1.28282 | + | 0.740639i | ||||
\(944\) | 9.99618e6 | 0.365093 | ||||||||
\(945\) | 5.91760e6 | − | 4.31554e6i | 0.215559 | − | 0.157201i | ||||
\(946\) | 3.92908e6 | 0.142746 | ||||||||
\(947\) | −1.05238e7 | + | 6.07589e6i | −0.381325 | + | 0.220158i | −0.678395 | − | 0.734698i | \(-0.737324\pi\) |
0.297069 | + | 0.954856i | \(0.403991\pi\) | |||||||
\(948\) | 1.38081e6 | + | 1.10757e7i | 0.0499014 | + | 0.400267i | ||||
\(949\) | −1.06113e7 | + | 1.83793e7i | −0.382474 | + | 0.662465i | ||||
\(950\) | −2.61792e7 | − | 4.53437e7i | −0.941124 | − | 1.63007i | ||||
\(951\) | 2.71991e7 | + | 3.59552e7i | 0.975220 | + | 1.28917i | ||||
\(952\) | −2.29453e6 | − | 2.31198e6i | −0.0820545 | − | 0.0826784i | ||||
\(953\) | 2.91378e7i | 1.03926i | 0.854391 | + | 0.519630i | \(0.173930\pi\) | ||||
−0.854391 | + | 0.519630i | \(0.826070\pi\) | |||||||
\(954\) | −5.81714e7 | + | 1.47335e7i | −2.06937 | + | 0.524125i | ||||
\(955\) | 6.83022e6 | + | 3.94343e6i | 0.242341 | + | 0.139915i | ||||
\(956\) | −3.29316e6 | − | 1.90131e6i | −0.116538 | − | 0.0672833i | ||||
\(957\) | −9.96191e6 | − | 4.20676e6i | −0.351611 | − | 0.148480i | ||||
\(958\) | − | 5.24696e7i | − | 1.84711i | ||||||
\(959\) | −8.24095e6 | − | 8.30361e6i | −0.289355 | − | 0.291555i | ||||
\(960\) | −1.48141e6 | + | 1.12064e6i | −0.0518796 | + | 0.0392454i | ||||
\(961\) | −5.08073e6 | − | 8.80008e6i | −0.177467 | − | 0.307382i | ||||
\(962\) | −5.21693e6 | + | 9.03598e6i | −0.181751 | + | 0.314802i | ||||
\(963\) | 2.35296e7 | − | 2.28918e7i | 0.817616 | − | 0.795453i | ||||
\(964\) | 4.80685e6 | − | 2.77524e6i | 0.166597 | − | 0.0961850i | ||||
\(965\) | −1.42030e6 | −0.0490978 | ||||||||
\(966\) | −2.83191e7 | − | 2.22135e7i | −0.976421 | − | 0.765903i | ||||
\(967\) | 4.05970e7 | 1.39614 | 0.698068 | − | 0.716032i | \(-0.254043\pi\) | ||||
0.698068 | + | 0.716032i | \(0.254043\pi\) | |||||||
\(968\) | −1.58444e7 | + | 9.14775e6i | −0.543484 | + | 0.313780i | ||||
\(969\) | 8.55123e6 | − | 1.06609e6i | 0.292563 | − | 0.0364739i | ||||
\(970\) | 1.27765e6 | − | 2.21296e6i | 0.0435997 | − | 0.0755169i | ||||
\(971\) | 5.60678e6 | + | 9.71123e6i | 0.190838 | + | 0.330542i | 0.945528 | − | 0.325540i | \(-0.105546\pi\) |
−0.754690 | + | 0.656082i | \(0.772213\pi\) | |||||||
\(972\) | 1.30901e7 | − | 1.26784e6i | 0.444403 | − | 0.0430425i | ||||
\(973\) | 4.53303e6 | − | 1.66648e7i | 0.153499 | − | 0.564309i | ||||
\(974\) | 5.52478e7i | 1.86603i | ||||||||
\(975\) | −7.33740e6 | + | 1.73755e7i | −0.247190 | + | 0.585363i | ||||
\(976\) | 2.23337e7 | + | 1.28943e7i | 0.750474 | + | 0.433286i | ||||
\(977\) | −2.45020e7 | − | 1.41462e7i | −0.821231 | − | 0.474138i | 0.0296098 | − | 0.999562i | \(-0.490574\pi\) |
−0.850841 | + | 0.525424i | \(0.823907\pi\) | |||||||
\(978\) | −1.74858e7 | + | 4.14075e7i | −0.584571 | + | 1.38431i | ||||
\(979\) | − | 1.31408e7i | − | 0.438194i | ||||||
\(980\) | −3.08785e6 | − | 1.81410e6i | −0.102705 | − | 0.0603386i | ||||
\(981\) | 4.96710e6 | − | 1.75684e7i | 0.164790 | − | 0.582854i | ||||
\(982\) | 2.62861e7 | + | 4.55289e7i | 0.869858 | + | 1.50664i | ||||
\(983\) | 1.72039e7 | − | 2.97981e7i | 0.567863 | − | 0.983568i | −0.428914 | − | 0.903345i | \(-0.641104\pi\) |
0.996777 | − | 0.0802222i | \(-0.0255630\pi\) | |||||||
\(984\) | 2.88044e7 | − | 3.59106e6i | 0.948355 | − | 0.118232i | ||||
\(985\) | 9.11555e6 | − | 5.26286e6i | 0.299359 | − | 0.172835i | ||||
\(986\) | 1.02424e7 | 0.335513 | ||||||||
\(987\) | 7.32730e6 | − | 2.94398e6i | 0.239415 | − | 0.0961928i | ||||
\(988\) | −1.57910e7 | −0.514657 | ||||||||
\(989\) | 1.36273e7 | − | 7.86772e6i | 0.443015 | − | 0.255775i | ||||
\(990\) | −1.65187e6 | − | 1.69789e6i | −0.0535658 | − | 0.0550582i | ||||
\(991\) | 2.48971e7 | − | 4.31231e7i | 0.805313 | − | 1.39484i | −0.110766 | − | 0.993846i | \(-0.535330\pi\) |
0.916079 | − | 0.400997i | \(-0.131336\pi\) | |||||||
\(992\) | −1.03831e7 | − | 1.79841e7i | −0.335004 | − | 0.580243i | ||||
\(993\) | −4.32331e7 | + | 3.27045e7i | −1.39137 | + | 1.05253i | ||||
\(994\) | 5.85770e6 | + | 2.21972e7i | 0.188045 | + | 0.712577i | ||||
\(995\) | 1.30211e6i | 0.0416956i | ||||||||
\(996\) | 2.21252e7 | + | 9.34312e6i | 0.706706 | + | 0.298431i | ||||
\(997\) | 8.76673e6 | + | 5.06147e6i | 0.279318 | + | 0.161265i | 0.633115 | − | 0.774058i | \(-0.281776\pi\) |
−0.353796 | + | 0.935322i | \(0.615109\pi\) | |||||||
\(998\) | 1.37327e7 | + | 7.92859e6i | 0.436445 | + | 0.251982i | ||||
\(999\) | −8.70974e6 | + | 1.08790e7i | −0.276116 | + | 0.344887i |
(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 | 21.6.g.c.17.2 | yes | 16 | |
3.2 | odd | 2 | inner | 21.6.g.c.17.7 | yes | 16 | |
7.3 | odd | 6 | 147.6.c.c.146.3 | 16 | |||
7.4 | even | 3 | 147.6.c.c.146.4 | 16 | |||
7.5 | odd | 6 | inner | 21.6.g.c.5.7 | yes | 16 | |
21.5 | even | 6 | inner | 21.6.g.c.5.2 | ✓ | 16 | |
21.11 | odd | 6 | 147.6.c.c.146.13 | 16 | |||
21.17 | even | 6 | 147.6.c.c.146.14 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.6.g.c.5.2 | ✓ | 16 | 21.5 | even | 6 | inner | |
21.6.g.c.5.7 | yes | 16 | 7.5 | odd | 6 | inner | |
21.6.g.c.17.2 | yes | 16 | 1.1 | even | 1 | trivial | |
21.6.g.c.17.7 | yes | 16 | 3.2 | odd | 2 | inner | |
147.6.c.c.146.3 | 16 | 7.3 | odd | 6 | |||
147.6.c.c.146.4 | 16 | 7.4 | even | 3 | |||
147.6.c.c.146.13 | 16 | 21.11 | odd | 6 | |||
147.6.c.c.146.14 | 16 | 21.17 | even | 6 |