Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,6,Mod(7,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([6]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.7");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.d (of order \(7\), degree \(6\), 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: | \(4.65113077458\) |
Analytic rank: | \(0\) |
Dimension: | \(66\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 7.7 | ||
Character | \(\chi\) | \(=\) | 29.7 |
Dual form | 29.6.d.a.25.7 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{3}{7}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.522777 | + | 2.29044i | 0.0924148 | + | 0.404896i | 0.999884 | − | 0.0152227i | \(-0.00484572\pi\) |
−0.907469 | + | 0.420118i | \(0.861989\pi\) | |||||||
\(3\) | −22.0166 | − | 10.6026i | −1.41237 | − | 0.680160i | −0.436738 | − | 0.899589i | \(-0.643866\pi\) |
−0.975628 | + | 0.219429i | \(0.929581\pi\) | |||||||
\(4\) | 23.8582 | − | 11.4895i | 0.745569 | − | 0.359047i | ||||
\(5\) | 18.8051 | + | 82.3907i | 0.336396 | + | 1.47385i | 0.806498 | + | 0.591237i | \(0.201360\pi\) |
−0.470102 | + | 0.882612i | \(0.655783\pi\) | |||||||
\(6\) | 12.7749 | − | 55.9704i | 0.144870 | − | 0.634718i | ||||
\(7\) | 123.108 | + | 59.2858i | 0.949603 | + | 0.457305i | 0.843547 | − | 0.537055i | \(-0.180463\pi\) |
0.106056 | + | 0.994360i | \(0.466178\pi\) | |||||||
\(8\) | 85.6617 | + | 107.416i | 0.473219 | + | 0.593397i | ||||
\(9\) | 220.807 | + | 276.883i | 0.908671 | + | 1.13944i | ||||
\(10\) | −178.880 | + | 86.1439i | −0.565667 | + | 0.272411i | ||||
\(11\) | 198.633 | − | 249.078i | 0.494959 | − | 0.620659i | −0.470125 | − | 0.882600i | \(-0.655791\pi\) |
0.965084 | + | 0.261941i | \(0.0843626\pi\) | |||||||
\(12\) | −647.096 | −1.29723 | ||||||||
\(13\) | −604.705 | + | 758.276i | −0.992396 | + | 1.24443i | −0.0227934 | + | 0.999740i | \(0.507256\pi\) |
−0.969603 | + | 0.244685i | \(0.921315\pi\) | |||||||
\(14\) | −71.4322 | + | 312.965i | −0.0974033 | + | 0.426752i | ||||
\(15\) | 459.533 | − | 2013.35i | 0.527338 | − | 2.31042i | ||||
\(16\) | 327.084 | − | 410.151i | 0.319418 | − | 0.400538i | ||||
\(17\) | 1998.65 | 1.67732 | 0.838659 | − | 0.544657i | \(-0.183340\pi\) | ||||
0.838659 | + | 0.544657i | \(0.183340\pi\) | |||||||
\(18\) | −518.751 | + | 650.493i | −0.377379 | + | 0.473218i | ||||
\(19\) | −1292.05 | + | 622.217i | −0.821097 | + | 0.395419i | −0.796769 | − | 0.604285i | \(-0.793459\pi\) |
−0.0243283 | + | 0.999704i | \(0.507745\pi\) | |||||||
\(20\) | 1395.28 | + | 1749.63i | 0.779988 | + | 0.978074i | ||||
\(21\) | −2081.84 | − | 2610.55i | −1.03015 | − | 1.29176i | ||||
\(22\) | 674.337 | + | 324.743i | 0.297044 | + | 0.143049i | ||||
\(23\) | 134.131 | − | 587.665i | 0.0528700 | − | 0.231638i | −0.941589 | − | 0.336764i | \(-0.890667\pi\) |
0.994459 | + | 0.105126i | \(0.0335246\pi\) | |||||||
\(24\) | −747.083 | − | 3273.19i | −0.264753 | − | 1.15996i | ||||
\(25\) | −3619.06 | + | 1742.85i | −1.15810 | + | 0.557711i | ||||
\(26\) | −2052.91 | − | 988.628i | −0.595574 | − | 0.286813i | ||||
\(27\) | −604.380 | − | 2647.96i | −0.159551 | − | 0.699041i | ||||
\(28\) | 3618.31 | 0.872188 | ||||||||
\(29\) | −4197.73 | − | 1700.07i | −0.926870 | − | 0.375381i | ||||
\(30\) | 4851.68 | 0.984212 | ||||||||
\(31\) | −53.2013 | − | 233.090i | −0.00994302 | − | 0.0435632i | 0.969713 | − | 0.244247i | \(-0.0785408\pi\) |
−0.979656 | + | 0.200684i | \(0.935684\pi\) | |||||||
\(32\) | 5071.53 | + | 2442.32i | 0.875516 | + | 0.421626i | ||||
\(33\) | −7014.10 | + | 3377.81i | −1.12121 | + | 0.539946i | ||||
\(34\) | 1044.85 | + | 4577.79i | 0.155009 | + | 0.679139i | ||||
\(35\) | −2569.53 | + | 11257.8i | −0.354555 | + | 1.55341i | ||||
\(36\) | 8449.32 | + | 4068.98i | 1.08659 | + | 0.523274i | ||||
\(37\) | 1368.94 | + | 1716.60i | 0.164392 | + | 0.206141i | 0.857204 | − | 0.514978i | \(-0.172200\pi\) |
−0.692812 | + | 0.721118i | \(0.743628\pi\) | |||||||
\(38\) | −2100.60 | − | 2634.07i | −0.235985 | − | 0.295916i | ||||
\(39\) | 21353.3 | − | 10283.2i | 2.24803 | − | 1.08260i | ||||
\(40\) | −7239.23 | + | 9077.71i | −0.715389 | + | 0.897070i | ||||
\(41\) | 1050.10 | 0.0975596 | 0.0487798 | − | 0.998810i | \(-0.484467\pi\) | ||||
0.0487798 | + | 0.998810i | \(0.484467\pi\) | |||||||
\(42\) | 4890.95 | − | 6133.05i | 0.427829 | − | 0.536480i | ||||
\(43\) | 2684.74 | − | 11762.6i | 0.221427 | − | 0.970135i | −0.734978 | − | 0.678091i | \(-0.762807\pi\) |
0.956405 | − | 0.292044i | \(-0.0943354\pi\) | |||||||
\(44\) | 1877.24 | − | 8224.74i | 0.146180 | − | 0.640457i | ||||
\(45\) | −18660.3 | + | 23399.3i | −1.37369 | + | 1.72255i | ||||
\(46\) | 1416.13 | 0.0986753 | ||||||||
\(47\) | 8328.32 | − | 10443.4i | 0.549937 | − | 0.689599i | −0.426725 | − | 0.904381i | \(-0.640333\pi\) |
0.976662 | + | 0.214782i | \(0.0689042\pi\) | |||||||
\(48\) | −11550.0 | + | 5562.17i | −0.723565 | + | 0.348450i | ||||
\(49\) | 1161.84 | + | 1456.91i | 0.0691285 | + | 0.0866844i | ||||
\(50\) | −5883.84 | − | 7378.10i | −0.332840 | − | 0.417369i | ||||
\(51\) | −44003.6 | − | 21191.0i | −2.36899 | − | 1.14084i | ||||
\(52\) | −5714.96 | + | 25038.9i | −0.293092 | + | 1.28412i | ||||
\(53\) | −2394.89 | − | 10492.7i | −0.117111 | − | 0.513095i | −0.999123 | − | 0.0418691i | \(-0.986669\pi\) |
0.882012 | − | 0.471226i | \(-0.156188\pi\) | |||||||
\(54\) | 5749.03 | − | 2768.59i | 0.268294 | − | 0.129203i | ||||
\(55\) | 24257.0 | + | 11681.5i | 1.08126 | + | 0.520707i | ||||
\(56\) | 4177.40 | + | 18302.4i | 0.178006 | + | 0.779897i | ||||
\(57\) | 35043.6 | 1.42864 | ||||||||
\(58\) | 1699.43 | − | 10503.4i | 0.0663338 | − | 0.409977i | ||||
\(59\) | 34472.9 | 1.28928 | 0.644640 | − | 0.764486i | \(-0.277007\pi\) | ||||
0.644640 | + | 0.764486i | \(0.277007\pi\) | |||||||
\(60\) | −12168.7 | − | 53314.7i | −0.436382 | − | 1.91191i | ||||
\(61\) | −41851.5 | − | 20154.6i | −1.44008 | − | 0.693506i | −0.459238 | − | 0.888313i | \(-0.651878\pi\) |
−0.980842 | + | 0.194807i | \(0.937592\pi\) | |||||||
\(62\) | 506.066 | − | 243.708i | 0.0167197 | − | 0.00805177i | ||||
\(63\) | 10767.9 | + | 47177.4i | 0.341807 | + | 1.49755i | ||||
\(64\) | 792.823 | − | 3473.58i | 0.0241950 | − | 0.106005i | ||||
\(65\) | −73846.4 | − | 35562.6i | −2.16793 | − | 1.04402i | ||||
\(66\) | −11403.5 | − | 14299.5i | −0.322238 | − | 0.404074i | ||||
\(67\) | 8848.23 | + | 11095.3i | 0.240807 | + | 0.301963i | 0.887518 | − | 0.460772i | \(-0.152428\pi\) |
−0.646711 | + | 0.762735i | \(0.723856\pi\) | |||||||
\(68\) | 47684.3 | − | 22963.5i | 1.25056 | − | 0.602236i | ||||
\(69\) | −9183.91 | + | 11516.3i | −0.232223 | + | 0.291198i | ||||
\(70\) | −27128.7 | −0.661734 | ||||||||
\(71\) | −16363.8 | + | 20519.6i | −0.385246 | + | 0.483084i | −0.936208 | − | 0.351447i | \(-0.885690\pi\) |
0.550961 | + | 0.834531i | \(0.314261\pi\) | |||||||
\(72\) | −10827.1 | + | 47436.6i | −0.246139 | + | 1.07841i | ||||
\(73\) | 1011.15 | − | 4430.15i | 0.0222080 | − | 0.0972997i | −0.962609 | − | 0.270894i | \(-0.912681\pi\) |
0.984817 | + | 0.173594i | \(0.0555380\pi\) | |||||||
\(74\) | −3216.10 | + | 4032.86i | −0.0682732 | + | 0.0856119i | ||||
\(75\) | 98158.3 | 2.01499 | ||||||||
\(76\) | −23677.0 | + | 29690.0i | −0.470210 | + | 0.589625i | ||||
\(77\) | 39220.1 | − | 18887.4i | 0.753845 | − | 0.363032i | ||||
\(78\) | 34716.0 | + | 43532.5i | 0.646090 | + | 0.810171i | ||||
\(79\) | −34472.9 | − | 43227.6i | −0.621455 | − | 0.779280i | 0.367094 | − | 0.930184i | \(-0.380353\pi\) |
−0.988548 | + | 0.150904i | \(0.951781\pi\) | |||||||
\(80\) | 39943.4 | + | 19235.7i | 0.697783 | + | 0.336035i | ||||
\(81\) | 4380.66 | − | 19192.9i | 0.0741869 | − | 0.325034i | ||||
\(82\) | 548.967 | + | 2405.18i | 0.00901595 | + | 0.0395014i | ||||
\(83\) | 22793.5 | − | 10976.7i | 0.363174 | − | 0.174895i | −0.243393 | − | 0.969928i | \(-0.578260\pi\) |
0.606567 | + | 0.795032i | \(0.292546\pi\) | |||||||
\(84\) | −79662.9 | − | 38363.6i | −1.23185 | − | 0.593227i | ||||
\(85\) | 37585.0 | + | 164670.i | 0.564244 | + | 2.47211i | ||||
\(86\) | 28345.0 | 0.413267 | ||||||||
\(87\) | 74394.4 | + | 81936.8i | 1.05376 | + | 1.16060i | ||||
\(88\) | 43770.2 | 0.602521 | ||||||||
\(89\) | −13864.7 | − | 60745.2i | −0.185539 | − | 0.812900i | −0.978931 | − | 0.204189i | \(-0.934544\pi\) |
0.793392 | − | 0.608710i | \(-0.208313\pi\) | |||||||
\(90\) | −63349.7 | − | 30507.6i | −0.824401 | − | 0.397010i | ||||
\(91\) | −119399. | + | 57499.6i | −1.51146 | + | 0.727883i | ||||
\(92\) | −3551.87 | − | 15561.7i | −0.0437509 | − | 0.191685i | ||||
\(93\) | −1300.06 | + | 5695.93i | −0.0155868 | + | 0.0682901i | ||||
\(94\) | 28273.8 | + | 13615.9i | 0.330038 | + | 0.158938i | ||||
\(95\) | −75562.0 | − | 94751.8i | −0.859003 | − | 1.07716i | ||||
\(96\) | −85762.8 | − | 107543.i | −0.949776 | − | 1.19098i | ||||
\(97\) | 86923.6 | − | 41860.2i | 0.938012 | − | 0.451723i | 0.0985444 | − | 0.995133i | \(-0.468581\pi\) |
0.839467 | + | 0.543410i | \(0.182867\pi\) | |||||||
\(98\) | −2729.56 | + | 3422.76i | −0.0287096 | + | 0.0360008i | ||||
\(99\) | 112825. | 1.15696 | ||||||||
\(100\) | −66319.8 | + | 83162.4i | −0.663198 | + | 0.831624i | ||||
\(101\) | −15441.6 | + | 67654.1i | −0.150622 | + | 0.659919i | 0.842083 | + | 0.539349i | \(0.181330\pi\) |
−0.992705 | + | 0.120571i | \(0.961528\pi\) | |||||||
\(102\) | 25532.6 | − | 111866.i | 0.242993 | − | 1.06462i | ||||
\(103\) | −89963.1 | + | 112810.i | −0.835548 | + | 1.04774i | 0.162586 | + | 0.986694i | \(0.448016\pi\) |
−0.998135 | + | 0.0610501i | \(0.980555\pi\) | |||||||
\(104\) | −133251. | −1.20806 | ||||||||
\(105\) | 175935. | − | 220616.i | 1.55733 | − | 1.95283i | ||||
\(106\) | 22780.9 | − | 10970.7i | 0.196927 | − | 0.0948352i | ||||
\(107\) | −59854.2 | − | 75054.8i | −0.505400 | − | 0.633752i | 0.462038 | − | 0.886860i | \(-0.347118\pi\) |
−0.967438 | + | 0.253109i | \(0.918547\pi\) | |||||||
\(108\) | −44843.2 | − | 56231.6i | −0.369945 | − | 0.463896i | ||||
\(109\) | 104086. | + | 50125.0i | 0.839121 | + | 0.404099i | 0.803528 | − | 0.595267i | \(-0.202954\pi\) |
0.0355931 | + | 0.999366i | \(0.488668\pi\) | |||||||
\(110\) | −14074.8 | + | 61665.9i | −0.110908 | + | 0.485918i | ||||
\(111\) | −11939.0 | − | 52308.0i | −0.0919727 | − | 0.402959i | ||||
\(112\) | 64582.9 | − | 31101.5i | 0.486488 | − | 0.234280i | ||||
\(113\) | −59868.3 | − | 28831.1i | −0.441063 | − | 0.212405i | 0.200154 | − | 0.979765i | \(-0.435856\pi\) |
−0.641217 | + | 0.767360i | \(0.721570\pi\) | |||||||
\(114\) | 18320.0 | + | 80265.2i | 0.132027 | + | 0.578449i | ||||
\(115\) | 50940.5 | 0.359185 | ||||||||
\(116\) | −119683. | + | 7669.08i | −0.825825 | + | 0.0529174i | ||||
\(117\) | −343477. | −2.31971 | ||||||||
\(118\) | 18021.6 | + | 78957.8i | 0.119149 | + | 0.522024i | ||||
\(119\) | 246051. | + | 118492.i | 1.59279 | + | 0.767045i | ||||
\(120\) | 255631. | − | 123105.i | 1.62054 | − | 0.780412i | ||||
\(121\) | 13252.5 | + | 58063.2i | 0.0822879 | + | 0.360527i | ||||
\(122\) | 24283.9 | − | 106395.i | 0.147713 | − | 0.647172i | ||||
\(123\) | −23119.6 | − | 11133.8i | −0.137790 | − | 0.0663561i | ||||
\(124\) | −3947.38 | − | 4949.86i | −0.0230544 | − | 0.0289094i | ||||
\(125\) | −46992.5 | − | 58926.8i | −0.269001 | − | 0.337317i | ||||
\(126\) | −102427. | + | 49326.5i | −0.574765 | + | 0.276792i | ||||
\(127\) | −75869.0 | + | 95136.8i | −0.417403 | + | 0.523406i | −0.945432 | − | 0.325820i | \(-0.894360\pi\) |
0.528029 | + | 0.849226i | \(0.322931\pi\) | |||||||
\(128\) | 188498. | 1.01691 | ||||||||
\(129\) | −183823. | + | 230507.i | −0.972583 | + | 1.21958i | ||||
\(130\) | 42848.5 | − | 187732.i | 0.222371 | − | 0.974270i | ||||
\(131\) | 12360.0 | − | 54152.5i | 0.0629272 | − | 0.275702i | −0.933669 | − | 0.358136i | \(-0.883412\pi\) |
0.996597 | + | 0.0824342i | \(0.0262694\pi\) | |||||||
\(132\) | −128534. | + | 161177.i | −0.642073 | + | 0.805135i | ||||
\(133\) | −195950. | −0.960543 | ||||||||
\(134\) | −20787.5 | + | 26066.7i | −0.100009 | + | 0.125408i | ||||
\(135\) | 206802. | − | 99590.6i | 0.976608 | − | 0.470309i | ||||
\(136\) | 171208. | + | 214688.i | 0.793738 | + | 0.995316i | ||||
\(137\) | 82005.2 | + | 102831.i | 0.373285 | + | 0.468084i | 0.932621 | − | 0.360856i | \(-0.117516\pi\) |
−0.559337 | + | 0.828941i | \(0.688944\pi\) | |||||||
\(138\) | −31178.4 | − | 15014.7i | −0.139366 | − | 0.0671150i | ||||
\(139\) | 97913.7 | − | 428988.i | 0.429839 | − | 1.88325i | −0.0377204 | − | 0.999288i | \(-0.512010\pi\) |
0.467560 | − | 0.883961i | \(-0.345133\pi\) | |||||||
\(140\) | 68042.7 | + | 298115.i | 0.293401 | + | 1.28547i | ||||
\(141\) | −294089. | + | 141626.i | −1.24575 | + | 0.599921i | ||||
\(142\) | −55553.4 | − | 26753.1i | −0.231201 | − | 0.111340i | ||||
\(143\) | 68755.3 | + | 301237.i | 0.281168 | + | 1.23188i | ||||
\(144\) | 185786. | 0.746634 | ||||||||
\(145\) | 61131.4 | − | 377823.i | 0.241460 | − | 1.49234i | ||||
\(146\) | 10675.6 | 0.0414486 | ||||||||
\(147\) | −10132.8 | − | 44394.7i | −0.0386755 | − | 0.169449i | ||||
\(148\) | 52383.3 | + | 25226.5i | 0.196580 | + | 0.0946677i | ||||
\(149\) | 18586.6 | − | 8950.83i | 0.0685858 | − | 0.0330292i | −0.399276 | − | 0.916831i | \(-0.630739\pi\) |
0.467862 | + | 0.883801i | \(0.345024\pi\) | |||||||
\(150\) | 51314.9 | + | 224825.i | 0.186215 | + | 0.815862i | ||||
\(151\) | 80650.1 | − | 353351.i | 0.287848 | − | 1.26114i | −0.599624 | − | 0.800282i | \(-0.704683\pi\) |
0.887472 | − | 0.460862i | \(-0.152460\pi\) | |||||||
\(152\) | −177515. | − | 85486.9i | −0.623199 | − | 0.300117i | ||||
\(153\) | 441317. | + | 553394.i | 1.52413 | + | 1.91120i | ||||
\(154\) | 63763.7 | + | 79957.2i | 0.216657 | + | 0.271679i | ||||
\(155\) | 18204.0 | − | 8766.59i | 0.0608608 | − | 0.0293090i | ||||
\(156\) | 391302. | − | 490677.i | 1.28736 | − | 1.61430i | ||||
\(157\) | −441568. | −1.42971 | −0.714856 | − | 0.699272i | \(-0.753508\pi\) | ||||
−0.714856 | + | 0.699272i | \(0.753508\pi\) | |||||||
\(158\) | 80988.4 | − | 101556.i | 0.258095 | − | 0.323641i | ||||
\(159\) | −58523.0 | + | 256406.i | −0.183584 | + | 0.804332i | ||||
\(160\) | −105854. | + | 463775.i | −0.326893 | + | 1.43221i | ||||
\(161\) | 51352.8 | − | 64394.4i | 0.156135 | − | 0.195787i | ||||
\(162\) | 46250.3 | 0.138461 | ||||||||
\(163\) | −168677. | + | 211514.i | −0.497264 | + | 0.623549i | −0.965610 | − | 0.259996i | \(-0.916279\pi\) |
0.468346 | + | 0.883545i | \(0.344850\pi\) | |||||||
\(164\) | 25053.4 | − | 12065.1i | 0.0727374 | − | 0.0350285i | ||||
\(165\) | −410201. | − | 514376.i | −1.17297 | − | 1.47086i | ||||
\(166\) | 37057.4 | + | 46468.5i | 0.104377 | + | 0.130885i | ||||
\(167\) | 225546. | + | 108617.i | 0.625813 | + | 0.301375i | 0.719783 | − | 0.694200i | \(-0.244241\pi\) |
−0.0939700 | + | 0.995575i | \(0.529956\pi\) | |||||||
\(168\) | 102081. | − | 447248.i | 0.279044 | − | 1.22257i | ||||
\(169\) | −126694. | − | 555082.i | −0.341223 | − | 1.49500i | ||||
\(170\) | −357518. | + | 172172.i | −0.948803 | + | 0.456920i | ||||
\(171\) | −457575. | − | 220356.i | −1.19666 | − | 0.576283i | ||||
\(172\) | −71093.5 | − | 311481.i | −0.183235 | − | 0.802805i | ||||
\(173\) | 43941.3 | 0.111624 | 0.0558120 | − | 0.998441i | \(-0.482225\pi\) | ||||
0.0558120 | + | 0.998441i | \(0.482225\pi\) | |||||||
\(174\) | −148779. | + | 213230.i | −0.372537 | + | 0.533920i | ||||
\(175\) | −548862. | −1.35478 | ||||||||
\(176\) | −37189.7 | − | 162939.i | −0.0904984 | − | 0.396499i | ||||
\(177\) | −758975. | − | 365503.i | −1.82094 | − | 0.876916i | ||||
\(178\) | 131885. | − | 63512.4i | 0.311993 | − | 0.150248i | ||||
\(179\) | −117703. | − | 515691.i | −0.274572 | − | 1.20298i | −0.904551 | − | 0.426365i | \(-0.859794\pi\) |
0.629979 | − | 0.776612i | \(-0.283063\pi\) | |||||||
\(180\) | −176355. | + | 772662.i | −0.405702 | + | 1.77750i | ||||
\(181\) | 545112. | + | 262512.i | 1.23677 | + | 0.595597i | 0.933934 | − | 0.357445i | \(-0.116352\pi\) |
0.302836 | + | 0.953043i | \(0.402066\pi\) | |||||||
\(182\) | −194118. | − | 243417.i | −0.434398 | − | 0.544718i | ||||
\(183\) | 707736. | + | 887473.i | 1.56223 | + | 1.95897i | ||||
\(184\) | 74614.8 | − | 35932.6i | 0.162473 | − | 0.0782427i | ||||
\(185\) | −115688. | + | 145069.i | −0.248519 | + | 0.311634i | ||||
\(186\) | −13725.8 | −0.0290908 | ||||||||
\(187\) | 396998. | − | 497820.i | 0.830203 | − | 1.04104i | ||||
\(188\) | 78709.5 | − | 344849.i | 0.162417 | − | 0.711597i | ||||
\(189\) | 82582.4 | − | 361817.i | 0.168164 | − | 0.736775i | ||||
\(190\) | 177521. | − | 222604.i | 0.356751 | − | 0.447351i | ||||
\(191\) | 575605. | 1.14167 | 0.570836 | − | 0.821064i | \(-0.306619\pi\) | ||||
0.570836 | + | 0.821064i | \(0.306619\pi\) | |||||||
\(192\) | −54284.4 | + | 68070.5i | −0.106273 | + | 0.133262i | ||||
\(193\) | 534228. | − | 257271.i | 1.03237 | − | 0.497161i | 0.160567 | − | 0.987025i | \(-0.448668\pi\) |
0.871799 | + | 0.489864i | \(0.162954\pi\) | |||||||
\(194\) | 141320. | + | 177209.i | 0.269587 | + | 0.338051i | ||||
\(195\) | 1.24879e6 | + | 1.56593e6i | 2.35181 | + | 2.94908i | ||||
\(196\) | 44458.6 | + | 21410.1i | 0.0826639 | + | 0.0398088i | ||||
\(197\) | −154151. | + | 675378.i | −0.282996 | + | 1.23988i | 0.610936 | + | 0.791680i | \(0.290793\pi\) |
−0.893931 | + | 0.448204i | \(0.852064\pi\) | |||||||
\(198\) | 58982.3 | + | 258418.i | 0.106920 | + | 0.468447i | ||||
\(199\) | −240637. | + | 115885.i | −0.430755 | + | 0.207441i | −0.636682 | − | 0.771127i | \(-0.719693\pi\) |
0.205927 | + | 0.978567i | \(0.433979\pi\) | |||||||
\(200\) | −497225. | − | 239451.i | −0.878979 | − | 0.423294i | ||||
\(201\) | −77168.3 | − | 338096.i | −0.134725 | − | 0.590269i | ||||
\(202\) | −163030. | −0.281118 | ||||||||
\(203\) | −415984. | − | 458159.i | −0.708495 | − | 0.780326i | ||||
\(204\) | −1.29332e6 | −2.17586 | ||||||||
\(205\) | 19747.2 | + | 86518.2i | 0.0328187 | + | 0.143788i | ||||
\(206\) | −305415. | − | 147080.i | −0.501444 | − | 0.241483i | ||||
\(207\) | 192332. | − | 92622.1i | 0.311979 | − | 0.150241i | ||||
\(208\) | 113218. | + | 496040.i | 0.181450 | + | 0.794984i | ||||
\(209\) | −101663. | + | 445413.i | −0.160989 | + | 0.705337i | ||||
\(210\) | 597281. | + | 287636.i | 0.934611 | + | 0.450085i | ||||
\(211\) | −305993. | − | 383703.i | −0.473157 | − | 0.593321i | 0.486784 | − | 0.873523i | \(-0.338170\pi\) |
−0.959941 | + | 0.280202i | \(0.909599\pi\) | |||||||
\(212\) | −177694. | − | 222821.i | −0.271539 | − | 0.340500i | ||||
\(213\) | 577837. | − | 278272.i | 0.872683 | − | 0.420262i | ||||
\(214\) | 140618. | − | 176329.i | 0.209897 | − | 0.263202i | ||||
\(215\) | 1.01962e6 | 1.50432 | ||||||||
\(216\) | 232662. | − | 291749.i | 0.339306 | − | 0.425476i | ||||
\(217\) | 7269.42 | − | 31849.4i | 0.0104797 | − | 0.0459147i | ||||
\(218\) | −60394.5 | + | 264606.i | −0.0860709 | + | 0.377101i | ||||
\(219\) | −69233.5 | + | 86816.1i | −0.0975452 | + | 0.122318i | ||||
\(220\) | 712943. | 0.993112 | ||||||||
\(221\) | −1.20860e6 | + | 1.51553e6i | −1.66456 | + | 2.08730i | ||||
\(222\) | 113567. | − | 54690.8i | 0.154657 | − | 0.0744787i | ||||
\(223\) | −550333. | − | 690096.i | −0.741077 | − | 0.929281i | 0.258246 | − | 0.966079i | \(-0.416856\pi\) |
−0.999323 | + | 0.0367981i | \(0.988284\pi\) | |||||||
\(224\) | 479552. | + | 601339.i | 0.638581 | + | 0.800755i | ||||
\(225\) | −1.28168e6 | − | 617225.i | −1.68781 | − | 0.812806i | ||||
\(226\) | 34737.9 | − | 152197.i | 0.0452411 | − | 0.198214i | ||||
\(227\) | 69005.8 | + | 302334.i | 0.0888834 | + | 0.389424i | 0.999728 | − | 0.0233260i | \(-0.00742558\pi\) |
−0.910845 | + | 0.412750i | \(0.864568\pi\) | |||||||
\(228\) | 836079. | − | 402634.i | 1.06515 | − | 0.512948i | ||||
\(229\) | −277068. | − | 133429.i | −0.349138 | − | 0.168136i | 0.251092 | − | 0.967963i | \(-0.419210\pi\) |
−0.600231 | + | 0.799827i | \(0.704925\pi\) | |||||||
\(230\) | 26630.5 | + | 116676.i | 0.0331940 | + | 0.145433i | ||||
\(231\) | −1.06375e6 | −1.31162 | ||||||||
\(232\) | −176969. | − | 596536.i | −0.215862 | − | 0.727640i | ||||
\(233\) | 734089. | 0.885848 | 0.442924 | − | 0.896559i | \(-0.353941\pi\) | ||||
0.442924 | + | 0.896559i | \(0.353941\pi\) | |||||||
\(234\) | −179562. | − | 786712.i | −0.214375 | − | 0.939239i | ||||
\(235\) | 1.01705e6 | + | 489787.i | 1.20136 | + | 0.578545i | ||||
\(236\) | 822460. | − | 396076.i | 0.961247 | − | 0.462912i | ||||
\(237\) | 300649. | + | 1.31723e6i | 0.347687 | + | 1.52332i | ||||
\(238\) | −142768. | + | 625508.i | −0.163376 | + | 0.715798i | ||||
\(239\) | 510583. | + | 245884.i | 0.578192 | + | 0.278443i | 0.700037 | − | 0.714107i | \(-0.253167\pi\) |
−0.121845 | + | 0.992549i | \(0.538881\pi\) | |||||||
\(240\) | −675469. | − | 847012.i | −0.756968 | − | 0.949208i | ||||
\(241\) | 351039. | + | 440188.i | 0.389325 | + | 0.488198i | 0.937412 | − | 0.348224i | \(-0.113215\pi\) |
−0.548087 | + | 0.836422i | \(0.684644\pi\) | |||||||
\(242\) | −126062. | + | 60708.2i | −0.138371 | + | 0.0666360i | ||||
\(243\) | −711448. | + | 892128.i | −0.772908 | + | 0.969195i | ||||
\(244\) | −1.23007e6 | −1.32268 | ||||||||
\(245\) | −98186.8 | + | 123122.i | −0.104505 | + | 0.131045i | ||||
\(246\) | 13414.9 | − | 58774.4i | 0.0141335 | − | 0.0619228i | ||||
\(247\) | 309495. | − | 1.35599e6i | 0.322783 | − | 1.41421i | ||||
\(248\) | 20480.4 | − | 25681.6i | 0.0211451 | − | 0.0265151i | ||||
\(249\) | −618217. | −0.631892 | ||||||||
\(250\) | 110401. | − | 138439.i | 0.111718 | − | 0.140090i | ||||
\(251\) | 744054. | − | 358317.i | 0.745452 | − | 0.358991i | −0.0222883 | − | 0.999752i | \(-0.507095\pi\) |
0.767741 | + | 0.640761i | \(0.221381\pi\) | |||||||
\(252\) | 798948. | + | 1.00185e6i | 0.792533 | + | 0.993805i | ||||
\(253\) | −119732. | − | 150139.i | −0.117600 | − | 0.147466i | ||||
\(254\) | −257567. | − | 124038.i | −0.250499 | − | 0.120634i | ||||
\(255\) | 918448. | − | 4.02398e6i | 0.884513 | − | 3.87531i | ||||
\(256\) | 73171.9 | + | 320587.i | 0.0697821 | + | 0.305735i | ||||
\(257\) | −1.09876e6 | + | 529135.i | −1.03770 | + | 0.499728i | −0.873564 | − | 0.486710i | \(-0.838197\pi\) |
−0.164133 | + | 0.986438i | \(0.552483\pi\) | |||||||
\(258\) | −624061. | − | 300532.i | −0.583684 | − | 0.281087i | ||||
\(259\) | 66758.0 | + | 292486.i | 0.0618378 | + | 0.270929i | ||||
\(260\) | −2.17044e6 | −1.99120 | ||||||||
\(261\) | −456166. | − | 1.53767e6i | −0.414497 | − | 1.39721i | ||||
\(262\) | 130494. | 0.117446 | ||||||||
\(263\) | −190243. | − | 833507.i | −0.169597 | − | 0.743054i | −0.986160 | − | 0.165797i | \(-0.946980\pi\) |
0.816563 | − | 0.577257i | \(-0.195877\pi\) | |||||||
\(264\) | −963672. | − | 464080.i | −0.850980 | − | 0.409811i | ||||
\(265\) | 819465. | − | 394634.i | 0.716829 | − | 0.345207i | ||||
\(266\) | −102438. | − | 448812.i | −0.0887684 | − | 0.388920i | ||||
\(267\) | −338806. | + | 1.48441e6i | −0.290853 | + | 1.27431i | ||||
\(268\) | 338583. | + | 163053.i | 0.287957 | + | 0.138673i | ||||
\(269\) | 619781. | + | 777181.i | 0.522225 | + | 0.654849i | 0.971080 | − | 0.238755i | \(-0.0767394\pi\) |
−0.448855 | + | 0.893605i | \(0.648168\pi\) | |||||||
\(270\) | 336217. | + | 421603.i | 0.280679 | + | 0.351961i | ||||
\(271\) | −1.01151e6 | + | 487118.i | −0.836656 | + | 0.402912i | −0.802607 | − | 0.596508i | \(-0.796554\pi\) |
−0.0340488 | + | 0.999420i | \(0.510840\pi\) | |||||||
\(272\) | 653728. | − | 819749.i | 0.535766 | − | 0.671829i | ||||
\(273\) | 3.23841e6 | 2.62982 | ||||||||
\(274\) | −192658. | + | 241586.i | −0.155028 | + | 0.194399i | ||||
\(275\) | −284760. | + | 1.24761e6i | −0.227063 | + | 0.994829i | ||||
\(276\) | −86795.5 | + | 380276.i | −0.0685843 | + | 0.300487i | ||||
\(277\) | −71793.8 | + | 90026.6i | −0.0562196 | + | 0.0704971i | −0.809146 | − | 0.587607i | \(-0.800070\pi\) |
0.752927 | + | 0.658104i | \(0.228641\pi\) | |||||||
\(278\) | 1.03376e6 | 0.802243 | ||||||||
\(279\) | 52791.6 | − | 66198.6i | 0.0406026 | − | 0.0509141i | ||||
\(280\) | −1.42939e6 | + | 688357.i | −1.08957 | + | 0.524709i | ||||
\(281\) | −1.09726e6 | − | 1.37592e6i | −0.828982 | − | 1.03951i | −0.998541 | − | 0.0539903i | \(-0.982806\pi\) |
0.169560 | − | 0.985520i | \(-0.445765\pi\) | |||||||
\(282\) | −478127. | − | 599553.i | −0.358031 | − | 0.448957i | ||||
\(283\) | 693341. | + | 333895.i | 0.514613 | + | 0.247825i | 0.673120 | − | 0.739533i | \(-0.264954\pi\) |
−0.158507 | + | 0.987358i | \(0.550668\pi\) | |||||||
\(284\) | −154651. | + | 677572.i | −0.113778 | + | 0.498494i | ||||
\(285\) | 659000. | + | 2.88727e6i | 0.480589 | + | 2.10560i | ||||
\(286\) | −654020. | + | 314959.i | −0.472798 | + | 0.227688i | ||||
\(287\) | 129276. | + | 62255.9i | 0.0926429 | + | 0.0446145i | ||||
\(288\) | 443592. | + | 1.94350e6i | 0.315139 | + | 1.38072i | ||||
\(289\) | 2.57476e6 | 1.81339 | ||||||||
\(290\) | 897338. | − | 57499.8i | 0.626558 | − | 0.0401487i | ||||
\(291\) | −2.35759e6 | −1.63206 | ||||||||
\(292\) | −26776.0 | − | 117313.i | −0.0183776 | − | 0.0805174i | ||||
\(293\) | −1.35851e6 | − | 654223.i | −0.924471 | − | 0.445202i | −0.0898054 | − | 0.995959i | \(-0.528625\pi\) |
−0.834665 | + | 0.550758i | \(0.814339\pi\) | |||||||
\(294\) | 96386.0 | − | 46417.1i | 0.0650348 | − | 0.0313191i | ||||
\(295\) | 648267. | + | 2.84024e6i | 0.433709 | + | 1.90020i | ||||
\(296\) | −67124.8 | + | 294093.i | −0.0445301 | + | 0.195099i | ||||
\(297\) | −779598. | − | 375434.i | −0.512837 | − | 0.246969i | ||||
\(298\) | 30218.0 | + | 37892.1i | 0.0197117 | + | 0.0247177i | ||||
\(299\) | 364503. | + | 457072.i | 0.235789 | + | 0.295670i | ||||
\(300\) | 2.34188e6 | − | 1.12779e6i | 1.50232 | − | 0.723478i | ||||
\(301\) | 1.02787e6 | − | 1.28891e6i | 0.653915 | − | 0.819984i | ||||
\(302\) | 851490. | 0.537233 | ||||||||
\(303\) | 1.05728e6 | − | 1.32579e6i | 0.661584 | − | 0.829600i | ||||
\(304\) | −167405. | + | 733451.i | −0.103893 | + | 0.455184i | ||||
\(305\) | 873530. | − | 3.82718e6i | 0.537685 | − | 2.35575i | ||||
\(306\) | −1.03680e6 | + | 1.30011e6i | −0.632984 | + | 0.793737i | ||||
\(307\) | −2.62827e6 | −1.59156 | −0.795781 | − | 0.605584i | \(-0.792940\pi\) | ||||
−0.795781 | + | 0.605584i | \(0.792940\pi\) | |||||||
\(308\) | 718714. | − | 901239.i | 0.431697 | − | 0.541331i | ||||
\(309\) | 3.17677e6 | − | 1.52985e6i | 1.89273 | − | 0.911493i | ||||
\(310\) | 29595.9 | + | 37112.1i | 0.0174915 | + | 0.0219337i | ||||
\(311\) | −1.68061e6 | − | 2.10741e6i | −0.985292 | − | 1.23552i | −0.971848 | − | 0.235608i | \(-0.924292\pi\) |
−0.0134440 | − | 0.999910i | \(-0.504279\pi\) | |||||||
\(312\) | 2.93374e6 | + | 1.41282e6i | 1.70622 | + | 0.821673i | ||||
\(313\) | −732342. | + | 3.20860e6i | −0.422526 | + | 1.85121i | 0.0949130 | + | 0.995486i | \(0.469743\pi\) |
−0.517439 | + | 0.855720i | \(0.673114\pi\) | |||||||
\(314\) | −230841. | − | 1.01138e6i | −0.132126 | − | 0.578884i | ||||
\(315\) | −3.68448e6 | + | 1.77435e6i | −2.09219 | + | 1.00754i | ||||
\(316\) | −1.31912e6 | − | 635257.i | −0.743135 | − | 0.357875i | ||||
\(317\) | 532911. | + | 2.33483e6i | 0.297856 | + | 1.30499i | 0.873313 | + | 0.487160i | \(0.161967\pi\) |
−0.575457 | + | 0.817832i | \(0.695176\pi\) | |||||||
\(318\) | −617876. | −0.342636 | ||||||||
\(319\) | −1.25726e6 | + | 707869.i | −0.691746 | + | 0.389472i | ||||
\(320\) | 301100. | 0.164375 | ||||||||
\(321\) | 522008. | + | 2.28707e6i | 0.282758 | + | 1.23884i | ||||
\(322\) | 174337. | + | 83956.4i | 0.0937024 | + | 0.0451247i | ||||
\(323\) | −2.58236e6 | + | 1.24360e6i | −1.37724 | + | 0.663244i | ||||
\(324\) | −116003. | − | 508241.i | −0.0613911 | − | 0.268972i | ||||
\(325\) | 866904. | − | 3.79815e6i | 0.455263 | − | 1.99464i | ||||
\(326\) | −572640. | − | 275769.i | −0.298427 | − | 0.143715i | ||||
\(327\) | −1.76016e6 | − | 2.20717e6i | −0.910294 | − | 1.14147i | ||||
\(328\) | 89953.1 | + | 112798.i | 0.0461670 | + | 0.0578916i | ||||
\(329\) | 1.64443e6 | − | 791916.i | 0.837579 | − | 0.403357i | ||||
\(330\) | 963702. | − | 1.20844e6i | 0.487144 | − | 0.610860i | ||||
\(331\) | −1.70274e6 | −0.854235 | −0.427118 | − | 0.904196i | \(-0.640471\pi\) | ||||
−0.427118 | + | 0.904196i | \(0.640471\pi\) | |||||||
\(332\) | 417693. | − | 523771.i | 0.207976 | − | 0.260793i | ||||
\(333\) | −173025. | + | 758073.i | −0.0855065 | + | 0.374628i | ||||
\(334\) | −130871. | + | 573382.i | −0.0641913 | + | 0.281240i | ||||
\(335\) | −747760. | + | 937661.i | −0.364041 | + | 0.456493i | ||||
\(336\) | −1.75165e6 | −0.846448 | ||||||||
\(337\) | 1.73453e6 | − | 2.17503e6i | 0.831966 | − | 1.04325i | −0.166397 | − | 0.986059i | \(-0.553213\pi\) |
0.998363 | − | 0.0571940i | \(-0.0182154\pi\) | |||||||
\(338\) | 1.20515e6 | − | 580368.i | 0.573784 | − | 0.276320i | ||||
\(339\) | 1.01241e6 | + | 1.26952e6i | 0.478474 | + | 0.599987i | ||||
\(340\) | 2.78869e6 | + | 3.49691e6i | 1.30829 | + | 1.64054i | ||||
\(341\) | −68625.1 | − | 33048.1i | −0.0319593 | − | 0.0153908i | ||||
\(342\) | 265503. | − | 1.16324e6i | 0.122745 | − | 0.537781i | ||||
\(343\) | −454362. | − | 1.99069e6i | −0.208529 | − | 0.913626i | ||||
\(344\) | 1.49348e6 | − | 719220.i | 0.680459 | − | 0.327692i | ||||
\(345\) | −1.12154e6 | − | 540104.i | −0.507301 | − | 0.244303i | ||||
\(346\) | 22971.5 | + | 100645.i | 0.0103157 | + | 0.0451961i | ||||
\(347\) | 1.26255e6 | 0.562892 | 0.281446 | − | 0.959577i | \(-0.409186\pi\) | ||||
0.281446 | + | 0.959577i | \(0.409186\pi\) | |||||||
\(348\) | 2.71633e6 | + | 1.10011e6i | 1.20236 | + | 0.486954i | ||||
\(349\) | −2.77288e6 | −1.21862 | −0.609308 | − | 0.792934i | \(-0.708553\pi\) | ||||
−0.609308 | + | 0.792934i | \(0.708553\pi\) | |||||||
\(350\) | −286933. | − | 1.25713e6i | −0.125202 | − | 0.548544i | ||||
\(351\) | 2.37336e6 | + | 1.14295e6i | 1.02824 | + | 0.495175i | ||||
\(352\) | 1.61570e6 | − | 778079.i | 0.695030 | − | 0.334709i | ||||
\(353\) | 375620. | + | 1.64570e6i | 0.160440 | + | 0.702933i | 0.989591 | + | 0.143908i | \(0.0459670\pi\) |
−0.829151 | + | 0.559024i | \(0.811176\pi\) | |||||||
\(354\) | 440387. | − | 1.92946e6i | 0.186778 | − | 0.818329i | ||||
\(355\) | −1.99834e6 | − | 962352.i | −0.841588 | − | 0.405287i | ||||
\(356\) | −1.02872e6 | − | 1.28997e6i | −0.430201 | − | 0.539455i | ||||
\(357\) | −4.16088e6 | − | 5.21758e6i | −1.72788 | − | 2.16670i | ||||
\(358\) | 1.11963e6 | − | 539183.i | 0.461706 | − | 0.222346i | ||||
\(359\) | −1.80436e6 | + | 2.26259e6i | −0.738901 | + | 0.926553i | −0.999241 | − | 0.0389641i | \(-0.987594\pi\) |
0.260339 | + | 0.965517i | \(0.416166\pi\) | |||||||
\(360\) | −4.11194e6 | −1.67221 | ||||||||
\(361\) | −261591. | + | 328024.i | −0.105646 | + | 0.132476i | ||||
\(362\) | −316295. | + | 1.38578e6i | −0.126859 | + | 0.555805i | ||||
\(363\) | 323847. | − | 1.41887e6i | 0.128995 | − | 0.565165i | ||||
\(364\) | −2.18801e6 | + | 2.74367e6i | −0.865556 | + | 1.08537i | ||||
\(365\) | 384018. | 0.150876 | ||||||||
\(366\) | −1.66271e6 | + | 2.08497e6i | −0.648805 | + | 0.813576i | ||||
\(367\) | −285317. | + | 137401.i | −0.110576 | + | 0.0532508i | −0.488354 | − | 0.872646i | \(-0.662403\pi\) |
0.377778 | + | 0.925896i | \(0.376688\pi\) | |||||||
\(368\) | −197159. | − | 247230.i | −0.0758923 | − | 0.0951659i | ||||
\(369\) | 231869. | + | 290755.i | 0.0886496 | + | 0.111163i | ||||
\(370\) | −392750. | − | 189138.i | −0.149146 | − | 0.0718249i | ||||
\(371\) | 327238. | − | 1.43372e6i | 0.123432 | − | 0.540792i | ||||
\(372\) | 34426.4 | + | 150832.i | 0.0128983 | + | 0.0565113i | ||||
\(373\) | −3.87685e6 | + | 1.86699e6i | −1.44280 | + | 0.694818i | −0.981329 | − | 0.192335i | \(-0.938394\pi\) |
−0.461475 | + | 0.887153i | \(0.652680\pi\) | |||||||
\(374\) | 1.34777e6 | + | 649050.i | 0.498236 | + | 0.239938i | ||||
\(375\) | 409837. | + | 1.79561e6i | 0.150499 | + | 0.659378i | ||||
\(376\) | 1.83521e6 | 0.669447 | ||||||||
\(377\) | 3.82751e6 | − | 2.15499e6i | 1.38696 | − | 0.780894i | ||||
\(378\) | 871891. | 0.313858 | ||||||||
\(379\) | 141711. | + | 620876.i | 0.0506763 | + | 0.222027i | 0.993925 | − | 0.110060i | \(-0.0351043\pi\) |
−0.943249 | + | 0.332087i | \(0.892247\pi\) | |||||||
\(380\) | −2.89142e6 | − | 1.39244e6i | −1.02719 | − | 0.494671i | ||||
\(381\) | 2.67908e6 | − | 1.29018e6i | 0.945525 | − | 0.455341i | ||||
\(382\) | 300913. | + | 1.31839e6i | 0.105507 | + | 0.462258i | ||||
\(383\) | −447575. | + | 1.96095e6i | −0.155908 | + | 0.683078i | 0.835192 | + | 0.549959i | \(0.185357\pi\) |
−0.991100 | + | 0.133120i | \(0.957501\pi\) | |||||||
\(384\) | −4.15008e6 | − | 1.99857e6i | −1.43624 | − | 0.691659i | ||||
\(385\) | 2.29368e6 | + | 2.87619e6i | 0.788646 | + | 0.988930i | ||||
\(386\) | 868544. | + | 1.08912e6i | 0.296704 | + | 0.372055i | ||||
\(387\) | 3.84968e6 | − | 1.85391e6i | 1.30661 | − | 0.629232i | ||||
\(388\) | 1.59289e6 | − | 1.99742e6i | 0.537163 | − | 0.673581i | ||||
\(389\) | 2.21382e6 | 0.741768 | 0.370884 | − | 0.928679i | \(-0.379055\pi\) | ||||
0.370884 | + | 0.928679i | \(0.379055\pi\) | |||||||
\(390\) | −2.93383e6 | + | 3.67891e6i | −0.976728 | + | 1.22478i | ||||
\(391\) | 268081. | − | 1.17454e6i | 0.0886797 | − | 0.388531i | ||||
\(392\) | −56970.0 | + | 249602.i | −0.0187254 | + | 0.0820414i | ||||
\(393\) | −846284. | + | 1.06121e6i | −0.276398 | + | 0.346592i | ||||
\(394\) | −1.62750e6 | −0.528177 | ||||||||
\(395\) | 2.91328e6 | − | 3.65314e6i | 0.939485 | − | 1.17808i | ||||
\(396\) | 2.69180e6 | − | 1.29630e6i | 0.862591 | − | 0.415402i | ||||
\(397\) | 3.27973e6 | + | 4.11265e6i | 1.04439 | + | 1.30962i | 0.949375 | + | 0.314144i | \(0.101717\pi\) |
0.0950115 | + | 0.995476i | \(0.469711\pi\) | |||||||
\(398\) | −391227. | − | 490583.i | −0.123800 | − | 0.155240i | ||||
\(399\) | 4.31416e6 | + | 2.07759e6i | 1.35664 | + | 0.653323i | ||||
\(400\) | −468907. | + | 2.05442e6i | −0.146534 | + | 0.642006i | ||||
\(401\) | 740272. | + | 3.24334e6i | 0.229895 | + | 1.00724i | 0.949725 | + | 0.313087i | \(0.101363\pi\) |
−0.719829 | + | 0.694151i | \(0.755780\pi\) | |||||||
\(402\) | 734046. | − | 353498.i | 0.226547 | − | 0.109099i | ||||
\(403\) | 208918. | + | 100610.i | 0.0640786 | + | 0.0308586i | ||||
\(404\) | 408903. | + | 1.79152e6i | 0.124643 | + | 0.546096i | ||||
\(405\) | 1.66370e6 | 0.504008 | ||||||||
\(406\) | 831916. | − | 1.19230e6i | 0.250475 | − | 0.358980i | ||||
\(407\) | 699482. | 0.209310 | ||||||||
\(408\) | −1.49316e6 | − | 6.54197e6i | −0.444075 | − | 1.94562i | ||||
\(409\) | −2.56167e6 | − | 1.23364e6i | −0.757208 | − | 0.364652i | 0.0151122 | − | 0.999886i | \(-0.495189\pi\) |
−0.772320 | + | 0.635234i | \(0.780904\pi\) | |||||||
\(410\) | −187841. | + | 90459.5i | −0.0551862 | + | 0.0265763i | ||||
\(411\) | −715194. | − | 3.13347e6i | −0.208843 | − | 0.914999i | ||||
\(412\) | −850225. | + | 3.72508e6i | −0.246769 | + | 1.08117i | ||||
\(413\) | 4.24389e6 | + | 2.04375e6i | 1.22430 | + | 0.589594i | ||||
\(414\) | 312692. | + | 392103.i | 0.0896635 | + | 0.112434i | ||||
\(415\) | 1.33302e6 | + | 1.67155e6i | 0.379940 | + | 0.476430i | ||||
\(416\) | −4.91873e6 | + | 2.36873e6i | −1.39354 | + | 0.671094i | ||||
\(417\) | −6.70413e6 | + | 8.40671e6i | −1.88800 | + | 2.36748i | ||||
\(418\) | −1.07334e6 | −0.300466 | ||||||||
\(419\) | −2.49689e6 | + | 3.13100e6i | −0.694806 | + | 0.871260i | −0.996624 | − | 0.0821061i | \(-0.973835\pi\) |
0.301817 | + | 0.953366i | \(0.402407\pi\) | |||||||
\(420\) | 1.66273e6 | − | 7.28491e6i | 0.459938 | − | 2.01512i | ||||
\(421\) | −21515.3 | + | 94264.7i | −0.00591619 | + | 0.0259205i | −0.977800 | − | 0.209541i | \(-0.932803\pi\) |
0.971884 | + | 0.235462i | \(0.0756602\pi\) | |||||||
\(422\) | 718882. | − | 901449.i | 0.196506 | − | 0.246411i | ||||
\(423\) | 4.73055e6 | 1.28547 | ||||||||
\(424\) | 921938. | − | 1.15607e6i | 0.249050 | − | 0.312299i | ||||
\(425\) | −7.23325e6 | + | 3.48335e6i | −1.94250 | + | 0.935459i | ||||
\(426\) | 939443. | + | 1.17802e6i | 0.250811 | + | 0.314507i | ||||
\(427\) | −3.95738e6 | − | 4.96240e6i | −1.05036 | − | 1.31711i | ||||
\(428\) | −2.29036e6 | − | 1.10298e6i | −0.604357 | − | 0.291043i | ||||
\(429\) | 1.68015e6 | − | 7.36120e6i | 0.440762 | − | 1.93110i | ||||
\(430\) | 533031. | + | 2.33536e6i | 0.139021 | + | 0.609093i | ||||
\(431\) | 4.31047e6 | − | 2.07581e6i | 1.11772 | − | 0.538263i | 0.218529 | − | 0.975830i | \(-0.429874\pi\) |
0.899186 | + | 0.437567i | \(0.144160\pi\) | |||||||
\(432\) | −1.28375e6 | − | 618220.i | −0.330956 | − | 0.159380i | ||||
\(433\) | −1.07649e6 | − | 4.71641e6i | −0.275925 | − | 1.20890i | −0.902895 | − | 0.429861i | \(-0.858562\pi\) |
0.626970 | − | 0.779043i | \(-0.284295\pi\) | |||||||
\(434\) | 76749.3 | 0.0195592 | ||||||||
\(435\) | −5.35183e6 | + | 7.67024e6i | −1.35606 | + | 1.94351i | ||||
\(436\) | 3.05921e6 | 0.770713 | ||||||||
\(437\) | 192352. | + | 842750.i | 0.0481830 | + | 0.211103i | ||||
\(438\) | −235040. | − | 113189.i | −0.0585406 | − | 0.0281917i | ||||
\(439\) | 2.86191e6 | − | 1.37822e6i | 0.708752 | − | 0.341317i | −0.0445359 | − | 0.999008i | \(-0.514181\pi\) |
0.753288 | + | 0.657691i | \(0.228467\pi\) | |||||||
\(440\) | 823105. | + | 3.60626e6i | 0.202686 | + | 0.888025i | ||||
\(441\) | −146850. | + | 643390.i | −0.0359564 | + | 0.157535i | ||||
\(442\) | −4.10305e6 | − | 1.97593e6i | −0.998967 | − | 0.481077i | ||||
\(443\) | −1.92075e6 | − | 2.40855e6i | −0.465010 | − | 0.583104i | 0.492931 | − | 0.870068i | \(-0.335925\pi\) |
−0.957941 | + | 0.286964i | \(0.907354\pi\) | |||||||
\(444\) | −885835. | − | 1.11080e6i | −0.213253 | − | 0.267411i | ||||
\(445\) | 4.74411e6 | − | 2.28464e6i | 1.13568 | − | 0.546913i | ||||
\(446\) | 1.29292e6 | − | 1.62127e6i | 0.307775 | − | 0.385938i | ||||
\(447\) | −504116. | −0.119333 | ||||||||
\(448\) | 303537. | − | 380624.i | 0.0714524 | − | 0.0895985i | ||||
\(449\) | 804713. | − | 3.52568e6i | 0.188376 | − | 0.825328i | −0.789097 | − | 0.614268i | \(-0.789451\pi\) |
0.977473 | − | 0.211060i | \(-0.0676915\pi\) | |||||||
\(450\) | 743680. | − | 3.25828e6i | 0.173123 | − | 0.758502i | ||||
\(451\) | 208584. | − | 261556.i | 0.0482880 | − | 0.0605512i | ||||
\(452\) | −1.75961e6 | −0.405107 | ||||||||
\(453\) | −5.52210e6 | + | 6.92449e6i | −1.26433 | + | 1.58541i | ||||
\(454\) | −656402. | + | 316106.i | −0.149462 | + | 0.0719770i | ||||
\(455\) | −6.98275e6 | − | 8.75609e6i | −1.58124 | − | 1.98281i | ||||
\(456\) | 3.00190e6 | + | 3.76426e6i | 0.676058 | + | 0.847750i | ||||
\(457\) | −997306. | − | 480277.i | −0.223377 | − | 0.107573i | 0.318849 | − | 0.947806i | \(-0.396704\pi\) |
−0.542225 | + | 0.840233i | \(0.682418\pi\) | |||||||
\(458\) | 160765. | − | 704359.i | 0.0358120 | − | 0.156903i | ||||
\(459\) | −1.20795e6 | − | 5.29236e6i | −0.267618 | − | 1.17251i | ||||
\(460\) | 1.21535e6 | − | 585281.i | 0.267797 | − | 0.128964i | ||||
\(461\) | 3.29964e6 | + | 1.58902e6i | 0.723127 | + | 0.348239i | 0.758977 | − | 0.651118i | \(-0.225700\pi\) |
−0.0358501 | + | 0.999357i | \(0.511414\pi\) | |||||||
\(462\) | −556104. | − | 2.43645e6i | −0.121214 | − | 0.531071i | ||||
\(463\) | 2.63488e6 | 0.571227 | 0.285613 | − | 0.958345i | \(-0.407803\pi\) | ||||
0.285613 | + | 0.958345i | \(0.407803\pi\) | |||||||
\(464\) | −2.07030e6 | + | 1.16563e6i | −0.446414 | + | 0.251343i | ||||
\(465\) | −493739. | −0.105893 | ||||||||
\(466\) | 383765. | + | 1.68138e6i | 0.0818654 | + | 0.358676i | ||||
\(467\) | −1.53281e6 | − | 738161.i | −0.325233 | − | 0.156624i | 0.264141 | − | 0.964484i | \(-0.414912\pi\) |
−0.589375 | + | 0.807860i | \(0.700626\pi\) | |||||||
\(468\) | −8.19475e6 | + | 3.94638e6i | −1.72950 | + | 0.832884i | ||||
\(469\) | 431495. | + | 1.89050e6i | 0.0905823 | + | 0.396867i | ||||
\(470\) | −590133. | + | 2.58554e6i | −0.123227 | + | 0.539892i | ||||
\(471\) | 9.72183e6 | + | 4.68179e6i | 2.01928 | + | 0.972432i | ||||
\(472\) | 2.95300e6 | + | 3.70295e6i | 0.610111 | + | 0.765055i | ||||
\(473\) | −2.39652e6 | − | 3.00515e6i | −0.492526 | − | 0.617608i | ||||
\(474\) | −2.85985e6 | + | 1.37723e6i | −0.584653 | + | 0.281554i | ||||
\(475\) | 3.59157e6 | − | 4.50368e6i | 0.730382 | − | 0.915870i | ||||
\(476\) | 7.23174e6 | 1.46294 | ||||||||
\(477\) | 2.37645e6 | − | 2.97997e6i | 0.478225 | − | 0.599675i | ||||
\(478\) | −296260. | + | 1.29800e6i | −0.0593067 | + | 0.259840i | ||||
\(479\) | −729685. | + | 3.19696e6i | −0.145310 | + | 0.636646i | 0.848841 | + | 0.528649i | \(0.177301\pi\) |
−0.994151 | + | 0.107998i | \(0.965556\pi\) | |||||||
\(480\) | 7.24777e6 | − | 9.08842e6i | 1.43583 | − | 1.80047i | ||||
\(481\) | −2.12946e6 | −0.419668 | ||||||||
\(482\) | −824708. | + | 1.03415e6i | −0.161690 | + | 0.202753i | ||||
\(483\) | −1.81337e6 | + | 873271.i | −0.353686 | + | 0.170326i | ||||
\(484\) | 983300. | + | 1.23302e6i | 0.190797 | + | 0.239252i | ||||
\(485\) | 5.08350e6 | + | 6.37451e6i | 0.981315 | + | 1.23053i | ||||
\(486\) | −2.41529e6 | − | 1.16314e6i | −0.463851 | − | 0.223379i | ||||
\(487\) | −331009. | + | 1.45024e6i | −0.0632437 | + | 0.277089i | −0.996655 | − | 0.0817182i | \(-0.973959\pi\) |
0.933412 | + | 0.358807i | \(0.116816\pi\) | |||||||
\(488\) | −1.42014e6 | − | 6.22202e6i | −0.269948 | − | 1.18272i | ||||
\(489\) | 5.95630e6 | − | 2.86841e6i | 1.12643 | − | 0.542461i | ||||
\(490\) | −333333. | − | 160525.i | −0.0627175 | − | 0.0302032i | ||||
\(491\) | 943530. | + | 4.13387e6i | 0.176625 | + | 0.773844i | 0.983173 | + | 0.182676i | \(0.0584759\pi\) |
−0.806548 | + | 0.591168i | \(0.798667\pi\) | |||||||
\(492\) | −679514. | −0.126557 | ||||||||
\(493\) | −8.38980e6 | − | 3.39786e6i | −1.55466 | − | 0.629634i | ||||
\(494\) | 3.26759e6 | 0.602436 | ||||||||
\(495\) | 2.12169e6 | + | 9.29572e6i | 0.389196 | + | 1.70518i | ||||
\(496\) | −113003. | − | 54419.6i | −0.0206247 | − | 0.00993232i | ||||
\(497\) | −3.23104e6 | + | 1.55599e6i | −0.586748 | + | 0.282563i | ||||
\(498\) | −323190. | − | 1.41599e6i | −0.0583961 | − | 0.255850i | ||||
\(499\) | 1.00796e6 | − | 4.41614e6i | 0.181213 | − | 0.793947i | −0.799841 | − | 0.600212i | \(-0.795083\pi\) |
0.981054 | − | 0.193735i | \(-0.0620601\pi\) | |||||||
\(500\) | −1.79820e6 | − | 865966.i | −0.321671 | − | 0.154909i | ||||
\(501\) | −3.81413e6 | − | 4.78277e6i | −0.678893 | − | 0.851305i | ||||
\(502\) | 1.20968e6 | + | 1.51689e6i | 0.214245 | + | 0.268654i | ||||
\(503\) | −1.64925e6 | + | 794239.i | −0.290648 | + | 0.139969i | −0.573526 | − | 0.819187i | \(-0.694425\pi\) |
0.282878 | + | 0.959156i | \(0.408711\pi\) | |||||||
\(504\) | −4.14522e6 | + | 5.19795e6i | −0.726895 | + | 0.911498i | ||||
\(505\) | −5.86445e6 | −1.02329 | ||||||||
\(506\) | 281290. | − | 352726.i | 0.0488402 | − | 0.0612437i | ||||
\(507\) | −3.09597e6 | + | 1.35643e7i | −0.534905 | + | 2.34357i | ||||
\(508\) | −717025. | + | 3.14149e6i | −0.123275 | + | 0.540103i | ||||
\(509\) | 1.54605e6 | − | 1.93869e6i | 0.264503 | − | 0.331676i | −0.631789 | − | 0.775140i | \(-0.717679\pi\) |
0.896292 | + | 0.443464i | \(0.146251\pi\) | |||||||
\(510\) | 9.69682e6 | 1.65084 | ||||||||
\(511\) | 387127. | − | 485441.i | 0.0655844 | − | 0.0822403i | ||||
\(512\) | 4.73854e6 | − | 2.28196e6i | 0.798859 | − | 0.384710i | ||||
\(513\) | 2.42850e6 | + | 3.04524e6i | 0.407421 | + | 0.510890i | ||||
\(514\) | −1.78636e6 | − | 2.24002e6i | −0.298236 | − | 0.373976i | ||||
\(515\) | −1.09863e7 | − | 5.29071e6i | −1.82529 | − | 0.879015i | ||||
\(516\) | −1.73728e6 | + | 7.61153e6i | −0.287241 | + | 1.25848i | ||||
\(517\) | −946936. | − | 4.14880e6i | −0.155810 | − | 0.682646i | ||||
\(518\) | −635020. | + | 305810.i | −0.103983 | + | 0.0500757i | ||||
\(519\) | −967439. | − | 465894.i | −0.157654 | − | 0.0759222i | ||||
\(520\) | −2.50581e6 | − | 1.09787e7i | −0.406387 | − | 1.78050i | ||||
\(521\) | −2.33587e6 | −0.377012 | −0.188506 | − | 0.982072i | \(-0.560364\pi\) | ||||
−0.188506 | + | 0.982072i | \(0.560364\pi\) | |||||||
\(522\) | 3.28346e6 | − | 1.84868e6i | 0.527418 | − | 0.296951i | ||||
\(523\) | 1.45387e6 | 0.232419 | 0.116210 | − | 0.993225i | \(-0.462926\pi\) | ||||
0.116210 | + | 0.993225i | \(0.462926\pi\) | |||||||
\(524\) | −327299. | − | 1.43399e6i | −0.0520735 | − | 0.228149i | ||||
\(525\) | 1.20841e7 | + | 5.81939e6i | 1.91344 | + | 0.921466i | ||||
\(526\) | 1.80964e6 | − | 871477.i | 0.285186 | − | 0.137338i | ||||
\(527\) | −106331. | − | 465867.i | −0.0166776 | − | 0.0730693i | ||||
\(528\) | −908789. | + | 3.98167e6i | −0.141866 | + | 0.621556i | ||||
\(529\) | 5.47159e6 | + | 2.63498e6i | 0.850108 | + | 0.409390i | ||||
\(530\) | 1.33228e6 | + | 1.67063e6i | 0.206018 | + | 0.258339i | ||||
\(531\) | 7.61185e6 | + | 9.54496e6i | 1.17153 | + | 1.46905i | ||||
\(532\) | −4.67502e6 | + | 2.25137e6i | −0.716151 | + | 0.344880i | ||||
\(533\) | −634999. | + | 796263.i | −0.0968177 | + | 0.121406i | ||||
\(534\) | −3.57706e6 | −0.542841 | ||||||||
\(535\) | 5.05825e6 | − | 6.34284e6i | 0.764039 | − | 0.958075i | ||||
\(536\) | −433866. | + | 1.90089e6i | −0.0652294 | + | 0.285789i | ||||
\(537\) | −2.87627e6 | + | 1.26017e7i | −0.430421 | + | 1.88580i | ||||
\(538\) | −1.45608e6 | + | 1.82586e6i | −0.216884 | + | 0.271964i | ||||
\(539\) | 593662. | 0.0880172 | ||||||||
\(540\) | 3.78968e6 | − | 4.75210e6i | 0.559265 | − | 0.701296i | ||||
\(541\) | 4.12691e6 | − | 1.98742e6i | 0.606223 | − | 0.291941i | −0.105481 | − | 0.994421i | \(-0.533638\pi\) |
0.711704 | + | 0.702480i | \(0.247924\pi\) | |||||||
\(542\) | −1.64451e6 | − | 2.06214e6i | −0.240457 | − | 0.301523i | ||||
\(543\) | −9.21819e6 | − | 1.15592e7i | −1.34167 | − | 1.68240i | ||||
\(544\) | 1.01362e7 | + | 4.88135e6i | 1.46852 | + | 0.707201i | ||||
\(545\) | −2.17249e6 | + | 9.51829e6i | −0.313304 | + | 1.37268i | ||||
\(546\) | 1.69297e6 | + | 7.41737e6i | 0.243034 | + | 1.06480i | ||||
\(547\) | 2.30034e6 | − | 1.10778e6i | 0.328718 | − | 0.158302i | −0.262244 | − | 0.965002i | \(-0.584463\pi\) |
0.590962 | + | 0.806699i | \(0.298748\pi\) | |||||||
\(548\) | 3.13798e6 | + | 1.51117e6i | 0.446374 | + | 0.214962i | ||||
\(549\) | −3.66063e6 | − | 1.60383e7i | −0.518352 | − | 2.27105i | ||||
\(550\) | −3.00644e6 | −0.423786 | ||||||||
\(551\) | 6.48147e6 | − | 415321.i | 0.909483 | − | 0.0582781i | ||||
\(552\) | −2.02375e6 | −0.282688 | ||||||||
\(553\) | −1.68111e6 | − | 7.36542e6i | −0.233767 | − | 1.02420i | ||||
\(554\) | −243732. | − | 117375.i | −0.0337395 | − | 0.0162481i | ||||
\(555\) | 4.08518e6 | − | 1.96732e6i | 0.562961 | − | 0.271108i | ||||
\(556\) | −2.59281e6 | − | 1.13599e7i | −0.355700 | − | 1.55843i | ||||
\(557\) | 2.64881e6 | − | 1.16052e7i | 0.361754 | − | 1.58495i | −0.386988 | − | 0.922085i | \(-0.626484\pi\) |
0.748742 | − | 0.662862i | \(-0.230658\pi\) | |||||||
\(558\) | 179222. | + | 86308.7i | 0.0243672 | + | 0.0117346i | ||||
\(559\) | 7.29582e6 | + | 9.14867e6i | 0.987517 | + | 1.23831i | ||||
\(560\) | 3.77696e6 | + | 4.73616e6i | 0.508947 | + | 0.638199i | ||||
\(561\) | −1.40188e7 | + | 6.75108e6i | −1.88063 | + | 0.905662i | ||||
\(562\) | 2.57784e6 | − | 3.23251e6i | 0.344283 | − | 0.431717i | ||||
\(563\) | −51663.8 | −0.00686935 | −0.00343468 | − | 0.999994i | \(-0.501093\pi\) | ||||
−0.00343468 | + | 0.999994i | \(0.501093\pi\) | |||||||
\(564\) | −5.38922e6 | + | 6.75787e6i | −0.713392 | + | 0.894566i | ||||
\(565\) | 1.24958e6 | − | 5.47476e6i | 0.164681 | − | 0.721513i | ||||
\(566\) | −402303. | + | 1.76261e6i | −0.0527852 | + | 0.231267i | ||||
\(567\) | 1.67717e6 | − | 2.10310e6i | 0.219088 | − | 0.274727i | ||||
\(568\) | −3.60589e6 | −0.468966 | ||||||||
\(569\) | −4.85996e6 | + | 6.09419e6i | −0.629291 | + | 0.789106i | −0.989618 | − | 0.143720i | \(-0.954094\pi\) |
0.360327 | + | 0.932826i | \(0.382665\pi\) | |||||||
\(570\) | −6.26859e6 | + | 3.01880e6i | −0.808133 | + | 0.389176i | ||||
\(571\) | −8.92756e6 | − | 1.11948e7i | −1.14589 | − | 1.43690i | −0.881313 | − | 0.472534i | \(-0.843339\pi\) |
−0.264576 | − | 0.964365i | \(-0.585232\pi\) | |||||||
\(572\) | 5.10144e6 | + | 6.39700e6i | 0.651933 | + | 0.817498i | ||||
\(573\) | −1.26729e7 | − | 6.10294e6i | −1.61246 | − | 0.776519i | ||||
\(574\) | −75010.7 | + | 328643.i | −0.00950263 | + | 0.0416337i | ||||
\(575\) | 538784. | + | 2.36057e6i | 0.0679587 | + | 0.297746i | ||||
\(576\) | 1.13684e6 | − | 547473.i | 0.142772 | − | 0.0687553i | ||||
\(577\) | 6.61782e6 | + | 3.18697e6i | 0.827514 | + | 0.398510i | 0.799182 | − | 0.601089i | \(-0.205266\pi\) |
0.0283317 | + | 0.999599i | \(0.490981\pi\) | |||||||
\(578\) | 1.34603e6 | + | 5.89732e6i | 0.167584 | + | 0.734236i | ||||
\(579\) | −1.44896e7 | −1.79623 | ||||||||
\(580\) | −2.88252e6 | − | 9.71656e6i | −0.355797 | − | 1.19934i | ||||
\(581\) | 3.45683e6 | 0.424852 | ||||||||
\(582\) | −1.23249e6 | − | 5.39991e6i | −0.150826 | − | 0.660814i | ||||
\(583\) | −3.08920e6 | − | 1.48768e6i | −0.376422 | − | 0.181275i | ||||
\(584\) | 562488. | − | 270880.i | 0.0682466 | − | 0.0328659i | ||||
\(585\) | −6.45913e6 | − | 2.82993e7i | −0.780341 | − | 3.41890i | ||||
\(586\) | 788259. | − | 3.45359e6i | 0.0948254 | − | 0.415457i | ||||
\(587\) | −3.62887e6 | − | 1.74757e6i | −0.434687 | − | 0.209334i | 0.203726 | − | 0.979028i | \(-0.434695\pi\) |
−0.638413 | + | 0.769694i | \(0.720409\pi\) | |||||||
\(588\) | −751824. | − | 942757.i | −0.0896753 | − | 0.112449i | ||||
\(589\) | 213771. | + | 268061.i | 0.0253899 | + | 0.0318380i | ||||
\(590\) | −6.16649e6 | + | 2.96963e6i | −0.729303 | + | 0.351214i | ||||
\(591\) | 1.05547e7 | − | 1.32351e7i | 1.24301 | − | 1.55869i | ||||
\(592\) | 1.15182e6 | 0.135077 | ||||||||
\(593\) | 7.76428e6 | − | 9.73610e6i | 0.906702 | − | 1.13697i | −0.0833861 | − | 0.996517i | \(-0.526573\pi\) |
0.990088 | − | 0.140451i | \(-0.0448551\pi\) | |||||||
\(594\) | 452353. | − | 1.98189e6i | 0.0526031 | − | 0.230469i | ||||
\(595\) | −5.13560e6 | + | 2.25005e7i | −0.594701 | + | 2.60556i | ||||
\(596\) | 340602. | − | 427102.i | 0.0392764 | − | 0.0492511i | ||||
\(597\) | 6.52671e6 | 0.749477 | ||||||||
\(598\) | −856341. | + | 1.07382e6i | −0.0979250 | + | 0.122794i | ||||
\(599\) | −6.85983e6 | + | 3.30352e6i | −0.781171 | + | 0.376192i | −0.781578 | − | 0.623808i | \(-0.785585\pi\) |
0.000406569 | 1.00000i | \(0.499871\pi\) | ||||||||
\(600\) | 8.40841e6 | + | 1.05438e7i | 0.953532 | + | 1.19569i | ||||
\(601\) | −5.00328e6 | − | 6.27392e6i | −0.565027 | − | 0.708521i | 0.414452 | − | 0.910071i | \(-0.363973\pi\) |
−0.979478 | + | 0.201551i | \(0.935402\pi\) | |||||||
\(602\) | 3.48950e6 | + | 1.68046e6i | 0.392439 | + | 0.188989i | ||||
\(603\) | −1.11836e6 | + | 4.89986e6i | −0.125253 | + | 0.548770i | ||||
\(604\) | −2.13566e6 | − | 9.35696e6i | −0.238199 | − | 1.04362i | ||||
\(605\) | −4.53465e6 | + | 2.18377e6i | −0.503681 | + | 0.242560i | ||||
\(606\) | 3.58937e6 | + | 1.72855e6i | 0.397042 | + | 0.191205i | ||||
\(607\) | 2.69371e6 | + | 1.18019e7i | 0.296742 | + | 1.30011i | 0.874946 | + | 0.484220i | \(0.160897\pi\) |
−0.578204 | + | 0.815892i | \(0.696246\pi\) | |||||||
\(608\) | −8.07231e6 | −0.885602 | ||||||||
\(609\) | 4.30088e6 | + | 1.44976e7i | 0.469909 | + | 1.58400i | ||||
\(610\) | 9.22258e6 | 1.00352 | ||||||||
\(611\) | 2.88279e6 | + | 1.26303e7i | 0.312399 | + | 1.36871i | ||||
\(612\) | 1.68873e7 | + | 8.13248e6i | 1.82256 | + | 0.877696i | ||||
\(613\) | −2.75530e6 | + | 1.32688e6i | −0.296155 | + | 0.142621i | −0.576061 | − | 0.817407i | \(-0.695411\pi\) |
0.279906 | + | 0.960027i | \(0.409697\pi\) | |||||||
\(614\) | −1.37400e6 | − | 6.01988e6i | −0.147084 | − | 0.644417i | ||||
\(615\) | 482555. | − | 2.11421e6i | 0.0514469 | − | 0.225403i | ||||
\(616\) | 5.38848e6 | + | 2.59495e6i | 0.572156 | + | 0.275536i | ||||
\(617\) | 5.03572e6 | + | 6.31459e6i | 0.532535 | + | 0.667778i | 0.973218 | − | 0.229885i | \(-0.0738350\pi\) |
−0.440683 | + | 0.897663i | \(0.645264\pi\) | |||||||
\(618\) | 5.16477e6 | + | 6.47641e6i | 0.543976 | + | 0.682124i | ||||
\(619\) | −206028. | + | 99217.9i | −0.0216122 | + | 0.0104079i | −0.444659 | − | 0.895700i | \(-0.646675\pi\) |
0.423046 | + | 0.906108i | \(0.360961\pi\) | |||||||
\(620\) | 333591. | − | 418310.i | 0.0348526 | − | 0.0437038i | ||||
\(621\) | −1.63718e6 | −0.170360 | ||||||||
\(622\) | 3.94831e6 | − | 4.95103e6i | 0.409200 | − | 0.513121i | ||||
\(623\) | 1.89447e6 | − | 8.30022e6i | 0.195554 | − | 0.856780i | ||||
\(624\) | 2.76666e6 | − | 1.21215e7i | 0.284442 | − | 1.24622i | ||||
\(625\) | −3.85515e6 | + | 4.83420e6i | −0.394767 | + | 0.495022i | ||||
\(626\) | −7.73194e6 | −0.788593 | ||||||||
\(627\) | 6.96082e6 | − | 8.72859e6i | 0.707117 | − | 0.886697i | ||||
\(628\) | −1.05350e7 | + | 5.07340e6i | −1.06595 | + | 0.513334i | ||||
\(629\) | 2.73604e6 | + | 3.43088e6i | 0.275737 | + | 0.345763i | ||||
\(630\) | −5.99020e6 | − | 7.51148e6i | −0.601299 | − | 0.754005i | ||||
\(631\) | 1.04018e7 | + | 5.00924e6i | 1.04000 | + | 0.500839i | 0.874325 | − | 0.485340i | \(-0.161304\pi\) |
0.165678 | + | 0.986180i | \(0.447019\pi\) | |||||||
\(632\) | 1.69035e6 | − | 7.40590e6i | 0.168339 | − | 0.737539i | ||||
\(633\) | 2.66866e6 | + | 1.16922e7i | 0.264719 | + | 1.15981i | ||||
\(634\) | −5.06919e6 | + | 2.44119e6i | −0.500859 | + | 0.241201i | ||||
\(635\) | −9.26511e6 | − | 4.46184e6i | −0.911835 | − | 0.439117i | ||||
\(636\) | 1.54973e6 | + | 6.78979e6i | 0.151919 | + | 0.665600i | ||||
\(637\) | −1.80731e6 | −0.176475 | ||||||||
\(638\) | −2.27859e6 | − | 2.50961e6i | −0.221623 | − | 0.244092i | ||||
\(639\) | −9.29477e6 | −0.900506 | ||||||||
\(640\) | 3.54472e6 | + | 1.55304e7i | 0.342084 | + | 1.49877i | ||||
\(641\) | 1.58823e7 | + | 7.64850e6i | 1.52675 | + | 0.735244i | 0.993829 | − | 0.110922i | \(-0.0353803\pi\) |
0.532920 | + | 0.846166i | \(0.321095\pi\) | |||||||
\(642\) | −4.96548e6 | + | 2.39125e6i | −0.475471 | + | 0.228975i | ||||
\(643\) | 3.49082e6 | + | 1.52943e7i | 0.332966 | + | 1.45882i | 0.813357 | + | 0.581765i | \(0.197638\pi\) |
−0.480391 | + | 0.877054i | \(0.659505\pi\) | |||||||
\(644\) | 485326. | − | 2.12635e6i | 0.0461126 | − | 0.202032i | ||||
\(645\) | −2.24485e7 | − | 1.08106e7i | −2.12465 | − | 1.02318i | ||||
\(646\) | −4.19837e6 | − | 5.26459e6i | −0.395822 | − | 0.496345i | ||||
\(647\) | −1.31829e7 | − | 1.65308e7i | −1.23808 | − | 1.55250i | −0.712280 | − | 0.701895i | \(-0.752337\pi\) |
−0.525800 | − | 0.850608i | \(-0.676234\pi\) | |||||||
\(648\) | 2.43689e6 | − | 1.17355e6i | 0.227981 | − | 0.109790i | ||||
\(649\) | 6.84744e6 | − | 8.58641e6i | 0.638140 | − | 0.800203i | ||||
\(650\) | 9.15263e6 | 0.849694 | ||||||||
\(651\) | −497736. | + | 624141.i | −0.0460306 | + | 0.0577205i | ||||
\(652\) | −1.59414e6 | + | 6.98436e6i | −0.146861 | + | 0.643440i | ||||
\(653\) | 723856. | − | 3.17142e6i | 0.0664308 | − | 0.291052i | −0.930790 | − | 0.365554i | \(-0.880880\pi\) |
0.997221 | + | 0.0745019i | \(0.0237367\pi\) | |||||||
\(654\) | 4.13520e6 | − | 5.18538e6i | 0.378053 | − | 0.474063i | ||||
\(655\) | 4.69409e6 | 0.427512 | ||||||||
\(656\) | 343470. | − | 430698.i | 0.0311623 | − | 0.0390763i | ||||
\(657\) | 1.44991e6 | − | 698238.i | 0.131047 | − | 0.0631088i | ||||
\(658\) | 2.67350e6 | + | 3.35246e6i | 0.240722 | + | 0.301856i | ||||
\(659\) | 6.56179e6 | + | 8.22823e6i | 0.588585 | + | 0.738062i | 0.983550 | − | 0.180634i | \(-0.0578150\pi\) |
−0.394966 | + | 0.918696i | \(0.629244\pi\) | |||||||
\(660\) | −1.56966e7 | − | 7.55908e6i | −1.40264 | − | 0.675475i | ||||
\(661\) | −4.20564e6 | + | 1.84261e7i | −0.374394 | + | 1.64033i | 0.339887 | + | 0.940466i | \(0.389611\pi\) |
−0.714281 | + | 0.699859i | \(0.753246\pi\) | |||||||
\(662\) | −890151. | − | 3.90001e6i | −0.0789440 | − | 0.345876i | ||||
\(663\) | 4.26778e7 | − | 2.05526e7i | 3.77067 | − | 1.81586i | ||||
\(664\) | 3.13161e6 | + | 1.50810e6i | 0.275643 | + | 0.132743i | ||||
\(665\) | −3.68487e6 | − | 1.61445e7i | −0.323123 | − | 1.41570i | ||||
\(666\) | −1.82677e6 | −0.159587 | ||||||||
\(667\) | −1.56212e6 | + | 2.23883e6i | −0.135956 | + | 0.194852i | ||||
\(668\) | 6.62909e6 | 0.574794 | ||||||||
\(669\) | 4.79963e6 | + | 2.10286e7i | 0.414613 | + | 1.81654i | ||||
\(670\) | −2.53856e6 | − | 1.22251e6i | −0.218475 | − | 0.105212i | ||||
\(671\) | −1.33331e7 | + | 6.42090e6i | −1.14321 | + | 0.550541i | ||||
\(672\) | −4.18233e6 | − | 1.83240e7i | −0.357269 | − | 1.56530i | ||||
\(673\) | −2.22938e6 | + | 9.76755e6i | −0.189734 | + | 0.831281i | 0.787021 | + | 0.616926i | \(0.211622\pi\) |
−0.976756 | + | 0.214355i | \(0.931235\pi\) | |||||||
\(674\) | 5.88853e6 | + | 2.83576e6i | 0.499295 | + | 0.240448i | ||||
\(675\) | 6.80228e6 | + | 8.52979e6i | 0.574639 | + | 0.720575i | ||||
\(676\) | −9.40031e6 | − | 1.17876e7i | −0.791180 | − | 0.992108i | ||||
\(677\) | −1.59281e7 | + | 7.67058e6i | −1.33565 | + | 0.643215i | −0.959070 | − | 0.283169i | \(-0.908614\pi\) |
−0.376580 | + | 0.926384i | \(0.622900\pi\) | |||||||
\(678\) | −2.37850e6 | + | 2.98254e6i | −0.198714 | + | 0.249180i | ||||
\(679\) | 1.31827e7 | 1.09731 | ||||||||
\(680\) | −1.44687e7 | + | 1.81432e7i | −1.19993 | + | 1.50467i | ||||
\(681\) | 1.68627e6 | − | 7.38801e6i | 0.139334 | − | 0.610464i | ||||
\(682\) | 39818.9 | − | 174458.i | 0.00327815 | − | 0.0143625i | ||||
\(683\) | 1.26333e7 | − | 1.58417e7i | 1.03625 | − | 1.29942i | 0.0832255 | − | 0.996531i | \(-0.473478\pi\) |
0.953026 | − | 0.302888i | \(-0.0979508\pi\) | |||||||
\(684\) | −1.34487e7 | −1.09911 | ||||||||
\(685\) | −6.93022e6 | + | 8.69022e6i | −0.564314 | + | 0.707627i | ||||
\(686\) | 4.32202e6 | − | 2.08137e6i | 0.350652 | − | 0.168865i | ||||
\(687\) | 4.68540e6 | + | 5.87530e6i | 0.378752 | + | 0.474940i | ||||
\(688\) | −3.94630e6 | − | 4.94851e6i | −0.317848 | − | 0.398569i | ||||
\(689\) | 9.40457e6 | + | 4.52900e6i | 0.754729 | + | 0.363458i | ||||
\(690\) | 650759. | − | 2.85116e6i | 0.0520352 | − | 0.227981i | ||||
\(691\) | −3.00199e6 | − | 1.31526e7i | −0.239174 | − | 1.04789i | −0.941759 | − | 0.336290i | \(-0.890828\pi\) |
0.702584 | − | 0.711600i | \(-0.252029\pi\) | |||||||
\(692\) | 1.04836e6 | − | 504864.i | 0.0832235 | − | 0.0400783i | ||||
\(693\) | 1.38897e7 | + | 6.68892e6i | 1.09865 | + | 0.529082i | ||||
\(694\) | 660033. | + | 2.89179e6i | 0.0520196 | + | 0.227913i | ||||
\(695\) | 3.71859e7 | 2.92022 | ||||||||
\(696\) | −2.42861e6 | + | 1.50100e7i | −0.190035 | + | 1.17451i | ||||
\(697\) | 2.09878e6 | 0.163638 | ||||||||
\(698\) | −1.44960e6 | − | 6.35109e6i | −0.112618 | − | 0.493412i | ||||
\(699\) | −1.61622e7 | − | 7.78328e6i | −1.25114 | − | 0.602518i | ||||
\(700\) | −1.30949e7 | + | 6.30616e6i | −1.01008 | + | 0.486429i | ||||
\(701\) | 1.87537e6 | + | 8.21652e6i | 0.144142 | + | 0.631528i | 0.994447 | + | 0.105238i | \(0.0335604\pi\) |
−0.850305 | + | 0.526290i | \(0.823582\pi\) | |||||||
\(702\) | −1.37711e6 | + | 6.03353e6i | −0.105470 | + | 0.462092i | ||||
\(703\) | −2.83683e6 | − | 1.36615e6i | −0.216494 | − | 0.104258i | ||||
\(704\) | −707711. | − | 887441.i | −0.0538176 | − | 0.0674851i | ||||
\(705\) | −1.71990e7 | − | 2.15669e7i | −1.30326 | − | 1.63424i | ||||
\(706\) | −3.57300e6 | + | 1.72067e6i | −0.269787 | + | 0.129923i | ||||
\(707\) | −5.91192e6 | + | 7.41331e6i | −0.444816 | + | 0.557781i | ||||
\(708\) | −2.23072e7 | −1.67249 | ||||||||
\(709\) | 2.00686e6 | − | 2.51652e6i | 0.149934 | − | 0.188012i | −0.701192 | − | 0.712972i | \(-0.747349\pi\) |
0.851126 | + | 0.524961i | \(0.175920\pi\) | |||||||
\(710\) | 1.15952e6 | − | 5.08017e6i | 0.0863239 | − | 0.378210i | ||||
\(711\) | 4.35715e6 | − | 1.90899e7i | 0.323243 | − | 1.41622i | ||||
\(712\) | 5.33736e6 | − | 6.69283e6i | 0.394572 | − | 0.494778i | ||||
\(713\) | −144115. | −0.0106166 | ||||||||
\(714\) | 9.77531e6 | − | 1.22579e7i | 0.717604 | − | 0.899848i | ||||
\(715\) | −2.35261e7 | + | 1.13296e7i | −1.72102 | + | 0.828799i | ||||
\(716\) | −8.73323e6 | − | 1.09511e7i | −0.636637 | − | 0.798318i | ||||
\(717\) | −8.63430e6 | − | 1.08271e7i | −0.627233 | − | 0.786526i | ||||
\(718\) | −6.12560e6 | − | 2.94993e6i | −0.443443 | − | 0.213551i | ||||
\(719\) | −3.22682e6 | + | 1.41376e7i | −0.232783 | + | 1.01989i | 0.714536 | + | 0.699599i | \(0.246638\pi\) |
−0.947319 | + | 0.320291i | \(0.896219\pi\) | |||||||
\(720\) | 3.49374e6 | + | 1.53071e7i | 0.251165 | + | 1.10043i | ||||
\(721\) | −1.77633e7 | + | 8.55433e6i | −1.27258 | + | 0.612841i | ||||
\(722\) | −888072. | − | 427673.i | −0.0634023 | − | 0.0305329i | ||||
\(723\) | −3.06152e6 | − | 1.34134e7i | −0.217817 | − | 0.954318i | ||||
\(724\) | 1.60215e7 | 1.13594 | ||||||||
\(725\) | 1.81548e7 | − | 1.16333e6i | 1.28276 | − | 0.0821971i | ||||
\(726\) | 3.41912e6 | 0.240754 | ||||||||
\(727\) | −3.39167e6 | − | 1.48599e7i | −0.238000 | − | 1.04275i | −0.942805 | − | 0.333346i | \(-0.891822\pi\) |
0.704804 | − | 0.709402i | \(-0.251035\pi\) | |||||||
\(728\) | −1.64043e7 | − | 7.89991e6i | −1.14718 | − | 0.552451i | ||||
\(729\) | 2.08125e7 | − | 1.00228e7i | 1.45046 | − | 0.698504i | ||||
\(730\) | 200756. | + | 879569.i | 0.0139432 | + | 0.0610889i | ||||
\(731\) | 5.36586e6 | − | 2.35094e7i | 0.371404 | − | 1.62723i | ||||
\(732\) | 2.70819e7 | + | 1.30420e7i | 1.86811 | + | 0.899634i | ||||
\(733\) | −1.03703e7 | − | 1.30039e7i | −0.712902 | − | 0.893951i | 0.285011 | − | 0.958524i | \(-0.408003\pi\) |
−0.997913 | + | 0.0645736i | \(0.979431\pi\) | |||||||
\(734\) | −463866. | − | 581670.i | −0.0317799 | − | 0.0398507i | ||||
\(735\) | 3.46716e6 | − | 1.66970e6i | 0.236731 | − | 0.114004i | ||||
\(736\) | 2.11551e6 | − | 2.65277e6i | 0.143953 | − | 0.180512i | ||||
\(737\) | 4.52115e6 | 0.306605 | ||||||||
\(738\) | −544739. | + | 683081.i | −0.0368169 | + | 0.0461669i | ||||
\(739\) | −4.01721e6 | + | 1.76005e7i | −0.270591 | + | 1.18554i | 0.638727 | + | 0.769433i | \(0.279461\pi\) |
−0.909318 | + | 0.416102i | \(0.863396\pi\) | |||||||
\(740\) | −1.09335e6 | + | 4.79028e6i | −0.0733973 | + | 0.321574i | ||||
\(741\) | −2.11911e7 | + | 2.65727e7i | −1.41777 | + | 1.77783i | ||||
\(742\) | 3.45492e6 | 0.230371 | ||||||||
\(743\) | −8.71226e6 | + | 1.09248e7i | −0.578974 | + | 0.726010i | −0.981937 | − | 0.189206i | \(-0.939409\pi\) |
0.402964 | + | 0.915216i | \(0.367980\pi\) | |||||||
\(744\) | −723202. | + | 348276.i | −0.0478991 | + | 0.0230670i | ||||
\(745\) | 1.08699e6 | + | 1.36304e6i | 0.0717521 | + | 0.0899742i | ||||
\(746\) | −6.30296e6 | − | 7.90366e6i | −0.414665 | − | 0.519974i | ||||
\(747\) | 8.07224e6 | + | 3.88738e6i | 0.529288 | + | 0.254892i | ||||
\(748\) | 3.75196e6 | − | 1.64384e7i | 0.245191 | − | 1.07425i | ||||
\(749\) | −2.91886e6 | − | 1.27884e7i | −0.190112 | − | 0.832934i | ||||
\(750\) | −3.89848e6 | + | 1.87741e6i | −0.253071 | + | 0.121873i | ||||
\(751\) | 1.40296e6 | + | 675628.i | 0.0907704 | + | 0.0437127i | 0.478718 | − | 0.877969i | \(-0.341102\pi\) |
−0.387948 | + | 0.921681i | \(0.626816\pi\) | |||||||
\(752\) | −1.55930e6 | − | 6.83173e6i | −0.100551 | − | 0.440541i | ||||
\(753\) | −2.01807e7 | −1.29702 | ||||||||
\(754\) | 6.93680e6 | + | 7.64008e6i | 0.444356 | + | 0.489406i | ||||
\(755\) | 3.06295e7 | 1.95557 | ||||||||
\(756\) | −2.18683e6 | − | 9.58114e6i | −0.139159 | − | 0.609695i | ||||
\(757\) | 9.18871e6 | + | 4.42505e6i | 0.582794 | + | 0.280659i | 0.701961 | − | 0.712215i | \(-0.252308\pi\) |
−0.119167 | + | 0.992874i | \(0.538022\pi\) | |||||||
\(758\) | −1.34799e6 | + | 649159.i | −0.0852147 | + | 0.0410372i | ||||
\(759\) | 1.04422e6 | + | 4.57501e6i | 0.0657940 | + | 0.288262i | ||||
\(760\) | 3.70512e6 | − | 1.62332e7i | 0.232685 | − | 1.01946i | ||||
\(761\) | −2.15581e7 | − | 1.03818e7i | −1.34942 | − | 0.649848i | −0.387171 | − | 0.922008i | \(-0.626548\pi\) |
−0.962252 | + | 0.272160i | \(0.912262\pi\) | |||||||
\(762\) | 4.35563e6 | + | 5.46179e6i | 0.271746 | + | 0.340759i | ||||
\(763\) | 9.84210e6 | + | 1.23416e7i | 0.612035 | + | 0.767468i | ||||
\(764\) | 1.37329e7 | − | 6.61342e6i | 0.851195 | − | 0.409914i | ||||
\(765\) | −3.72955e7 | + | 4.67671e7i | −2.30411 | + | 2.88926i | ||||
\(766\) | −4.72542e6 | −0.290984 | ||||||||
\(767\) | −2.08459e7 | + | 2.61399e7i | −1.27948 | + | 1.60441i | ||||
\(768\) | 1.78807e6 | − | 7.83405e6i | 0.109391 | − | 0.479273i | ||||
\(769\) | −2.07359e6 | + | 9.08498e6i | −0.126446 | + | 0.553998i | 0.871526 | + | 0.490349i | \(0.163131\pi\) |
−0.997972 | + | 0.0636484i | \(0.979726\pi\) | |||||||
\(770\) | −5.38864e6 | + | 6.75714e6i | −0.327531 | + | 0.410711i | ||||
\(771\) | 2.98012e7 | 1.80550 | ||||||||
\(772\) | 9.78981e6 | − | 1.22760e7i | 0.591195 | − | 0.741336i | ||||
\(773\) | 1.30218e7 | − | 6.27095e6i | 0.783828 | − | 0.377472i | 0.00123014 | − | 0.999999i | \(-0.499608\pi\) |
0.782598 | + | 0.622528i | \(0.213894\pi\) | |||||||
\(774\) | 6.25878e6 | + | 7.84826e6i | 0.375524 | + | 0.470892i | ||||
\(775\) | 598780. | + | 750846.i | 0.0358107 | + | 0.0449052i | ||||
\(776\) | 1.19425e7 | + | 5.75120e6i | 0.711936 | + | 0.342850i | ||||
\(777\) | 1.63134e6 | − | 7.14736e6i | 0.0969374 | − | 0.424710i | ||||
\(778\) | 1.15733e6 | + | 5.07061e6i | 0.0685504 | + | 0.300339i | ||||
\(779\) | −1.35678e6 | + | 653389.i | −0.0801059 | + | 0.0385769i | ||||
\(780\) | 4.77857e7 | + | 2.30124e7i | 2.81230 | + | 1.35433i | ||||
\(781\) | 1.86058e6 | + | 8.15171e6i | 0.109149 | + | 0.478213i | ||||
\(782\) | 2.83035e6 | 0.165510 | ||||||||
\(783\) | −1.96471e6 | + | 1.21429e7i | −0.114523 | + | 0.707813i | ||||
\(784\) | 977571. | 0.0568013 | ||||||||
\(785\) | −8.30374e6 | − | 3.63811e7i | −0.480950 | − | 2.10718i | ||||
\(786\) | −2.87304e6 | − | 1.38358e6i | −0.165877 | − | 0.0798820i | ||||
\(787\) | −4.60584e6 | + | 2.21805e6i | −0.265077 | + | 0.127654i | −0.561702 | − | 0.827340i | \(-0.689853\pi\) |
0.296625 | + | 0.954994i | \(0.404139\pi\) | |||||||
\(788\) | 4.08200e6 | + | 1.78844e7i | 0.234184 | + | 1.02603i | ||||
\(789\) | −4.64888e6 | + | 2.03681e7i | −0.265862 | + | 1.16482i | ||||
\(790\) | 9.89028e6 | + | 4.76291e6i | 0.563821 | + | 0.271522i | ||||
\(791\) | −5.66101e6 | − | 7.09869e6i | −0.321701 | − | 0.403401i | ||||
\(792\) | 9.66478e6 | + | 1.21193e7i | 0.547494 | + | 0.686535i | ||||
\(793\) | 4.05906e7 | − | 1.95474e7i | 2.29215 | − | 1.10384i | ||||
\(794\) | −7.70519e6 | + | 9.66200e6i | −0.433743 | + | 0.543896i | ||||
\(795\) | −2.22260e7 | −1.24722 | ||||||||
\(796\) | −4.40972e6 | + | 5.52961e6i | −0.246677 | + | 0.309323i | ||||
\(797\) | 2.59631e6 | − | 1.13752e7i | 0.144781 | − | 0.634326i | −0.849506 | − | 0.527580i | \(-0.823100\pi\) |
0.994286 | − | 0.106746i | \(-0.0340432\pi\) | |||||||
\(798\) | −2.50324e6 | + | 1.09674e7i | −0.139154 | + | 0.609674i | ||||
\(799\) | 1.66454e7 | − | 2.08727e7i | 0.922419 | − | 1.15668i | ||||
\(800\) | −2.26108e7 | −1.24908 | ||||||||
\(801\) | 1.37579e7 | − | 1.72519e7i | 0.757655 | − | 0.950069i | ||||
\(802\) | −7.04167e6 | + | 3.39109e6i | −0.386580 | + | 0.186167i | ||||
\(803\) | −902603. | − | 1.13183e6i | −0.0493979 | − | 0.0619430i | ||||
\(804\) | −5.72565e6 | − | 7.17974e6i | −0.312381 | − | 0.391714i | ||||
\(805\) | 6.27120e6 | + | 3.02005e6i | 0.341083 | + | 0.164257i | ||||
\(806\) | −121222. | + | 531109.i | −0.00657271 | + | 0.0287969i | ||||
\(807\) | −5.40531e6 | − | 2.36822e7i | −0.292171 | − | 1.28008i | ||||
\(808\) | −8.58992e6 | + | 4.13669e6i | −0.462872 | + | 0.222907i | ||||
\(809\) | 823534. | + | 396593.i | 0.0442395 | + | 0.0213046i | 0.455873 | − | 0.890045i | \(-0.349327\pi\) |
−0.411633 | + | 0.911350i | \(0.635042\pi\) | |||||||
\(810\) | 869743. | + | 3.81059e6i | 0.0465777 | + | 0.204070i | ||||
\(811\) | 5.60738e6 | 0.299370 | 0.149685 | − | 0.988734i | \(-0.452174\pi\) | ||||
0.149685 | + | 0.988734i | \(0.452174\pi\) | |||||||
\(812\) | −1.51887e7 | − | 6.15139e6i | −0.808406 | − | 0.327403i | ||||
\(813\) | 2.74348e7 | 1.45571 | ||||||||
\(814\) | 365673. | + | 1.60212e6i | 0.0193433 | + | 0.0847487i | ||||
\(815\) | −2.05988e7 | − | 9.91985e6i | −1.08629 | − | 0.523132i | ||||
\(816\) | −2.30844e7 | + | 1.11169e7i | −1.21365 | + | 0.584462i | ||||
\(817\) | 3.85009e6 | + | 1.68683e7i | 0.201797 | + | 0.884132i | ||||
\(818\) | 1.48638e6 | − | 6.51226e6i | 0.0776688 | − | 0.340289i | ||||
\(819\) | −4.22849e7 | − | 2.03633e7i | −2.20280 | − | 1.06081i | ||||
\(820\) | 1.46518e6 | + | 1.83728e6i | 0.0760953 | + | 0.0954205i | ||||
\(821\) | −1.28801e6 | − | 1.61511e6i | −0.0666901 | − | 0.0836267i | 0.747368 | − | 0.664411i | \(-0.231317\pi\) |
−0.814058 | + | 0.580784i | \(0.802746\pi\) | |||||||
\(822\) | 6.80312e6 | − | 3.27621e6i | 0.351179 | − | 0.169119i | ||||
\(823\) | −1.38882e7 | + | 1.74153e7i | −0.714740 | + | 0.896255i | −0.998027 | − | 0.0627799i | \(-0.980003\pi\) |
0.283288 | + | 0.959035i | \(0.408575\pi\) | |||||||
\(824\) | −1.98241e7 | −1.01713 | ||||||||
\(825\) | 1.94974e7 | − | 2.44490e7i | 0.997339 | − | 1.25062i | ||||
\(826\) | −2.46247e6 | + | 1.07888e7i | −0.125580 | + | 0.550203i | ||||
\(827\) | −3.99983e6 | + | 1.75244e7i | −0.203366 | + | 0.891003i | 0.765504 | + | 0.643431i | \(0.222490\pi\) |
−0.968870 | + | 0.247572i | \(0.920367\pi\) | |||||||
\(828\) | 3.52451e6 | − | 4.41960e6i | 0.178658 | − | 0.224030i | ||||
\(829\) | −3.16258e7 | −1.59829 | −0.799144 | − | 0.601140i | \(-0.794713\pi\) | ||||
−0.799144 | + | 0.601140i | \(0.794713\pi\) | |||||||
\(830\) | −3.13170e6 | + | 3.92703e6i | −0.157792 | + | 0.197865i | ||||
\(831\) | 2.53518e6 | − | 1.22088e6i | 0.127352 | − | 0.0613295i | ||||
\(832\) | 2.15451e6 | + | 2.70167e6i | 0.107905 | + | 0.135308i | ||||
\(833\) | 2.32212e6 | + | 2.91185e6i | 0.115950 | + | 0.145397i | ||||
\(834\) | −2.27598e7 | − | 1.09605e7i | −1.13306 | − | 0.545653i | ||||
\(835\) | −4.70763e6 | + | 2.06255e7i | −0.233661 | + | 1.02373i | ||||
\(836\) | 2.69209e6 | + | 1.17948e7i | 0.133221 | + | 0.583680i | ||||
\(837\) | −585060. | + | 281750.i | −0.0288660 | + | 0.0139011i | ||||
\(838\) | −8.47666e6 | − | 4.08215e6i | −0.416980 | − | 0.200807i | ||||
\(839\) | −2.07848e6 | − | 9.10642e6i | −0.101939 | − | 0.446625i | −0.999978 | − | 0.00670747i | \(-0.997865\pi\) |
0.898038 | − | 0.439917i | \(-0.144992\pi\) | |||||||
\(840\) | 3.87687e7 | 1.89576 | ||||||||
\(841\) | 1.47306e7 | + | 1.42729e7i | 0.718178 | + | 0.695860i | ||||
\(842\) | −227155. | −0.0110419 | ||||||||
\(843\) | 9.56958e6 | + | 4.19271e7i | 0.463793 | + | 2.03201i | ||||
\(844\) | −1.17090e7 | − | 5.63876e6i | −0.565801 | − | 0.272476i | ||||
\(845\) | 4.33511e7 | − | 2.08768e7i | 2.08861 | − | 1.00582i | ||||
\(846\) | 2.47302e6 | + | 1.08350e7i | 0.118796 | + | 0.520480i | ||||
\(847\) | −1.81083e6 | + | 7.93375e6i | −0.0867298 | + | 0.379988i | ||||
\(848\) | −5.08692e6 | − | 2.44973e6i | −0.242921 | − | 0.116985i | ||||
\(849\) | −1.17248e7 | − | 1.47025e7i | −0.558262 | − | 0.700038i | ||||
\(850\) | −1.17598e7 | − | 1.47463e7i | −0.558279 | − | 0.700060i | ||||
\(851\) | 1.19240e6 | − | 574230.i | 0.0564415 | − | 0.0271808i | ||||
\(852\) | 1.05890e7 | − | 1.32781e7i | 0.499751 | − | 0.626669i | ||||
\(853\) | −1.37262e7 | −0.645918 | −0.322959 | − | 0.946413i | \(-0.604678\pi\) | ||||
−0.322959 | + | 0.946413i | \(0.604678\pi\) | |||||||
\(854\) | 9.29723e6 | − | 1.16584e7i | 0.436223 | − | 0.547007i | ||||
\(855\) | 9.55056e6 | − | 4.18437e7i | 0.446800 | − | 1.95756i | ||||
\(856\) | 2.93490e6 | − | 1.28586e7i | 0.136902 | − | 0.599806i | ||||
\(857\) | −3.16227e6 | + | 3.96536e6i | −0.147078 | + | 0.184430i | −0.849913 | − | 0.526923i | \(-0.823346\pi\) |
0.702835 | + | 0.711353i | \(0.251917\pi\) | |||||||
\(858\) | 1.77387e7 | 0.822628 | ||||||||
\(859\) | 434107. | − | 544353.i | 0.0200731 | − | 0.0251708i | −0.771694 | − | 0.635994i | \(-0.780590\pi\) |
0.791767 | + | 0.610824i | \(0.209162\pi\) | |||||||
\(860\) | 2.43262e7 | − | 1.17149e7i | 1.12157 | − | 0.540122i | ||||
\(861\) | −2.18614e6 | − | 2.74133e6i | −0.100501 | − | 0.126024i | ||||
\(862\) | 7.00792e6 | + | 8.78766e6i | 0.321234 | + | 0.402814i | ||||
\(863\) | 5.74332e6 | + | 2.76584e6i | 0.262504 | + | 0.126415i | 0.560507 | − | 0.828150i | \(-0.310606\pi\) |
−0.298003 | + | 0.954565i | \(0.596321\pi\) | |||||||
\(864\) | 3.40204e6 | − | 1.49053e7i | 0.155044 | − | 0.679292i | ||||
\(865\) | 826323. | + | 3.62036e6i | 0.0375499 | + | 0.164517i | ||||
\(866\) | 1.02399e7 | − | 4.93126e6i | 0.463981 | − | 0.223441i | ||||
\(867\) | −5.66875e7 | − | 2.72993e7i | −2.56118 | − | 1.23340i | ||||
\(868\) | −192499. | − | 843392.i | −0.00867219 | − | 0.0379953i | ||||
\(869\) | −1.76145e7 | −0.791261 | ||||||||
\(870\) | −2.03660e7 | − | 8.24821e6i | −0.912237 | − | 0.369455i | ||||
\(871\) | −1.37639e7 | −0.614746 | ||||||||
\(872\) | 3.53191e6 | + | 1.54743e7i | 0.157296 | + | 0.689160i | ||||
\(873\) | 3.07837e7 | + | 1.48247e7i | 1.36705 | + | 0.658339i | ||||
\(874\) | −1.82971e6 | + | 881141.i | −0.0810220 | + | 0.0390181i | ||||
\(875\) | −2.29165e6 | − | 1.00404e7i | −0.101188 | − | 0.443332i | ||||
\(876\) | −654313. | + | 2.86673e6i | −0.0288088 | + | 0.126220i | ||||
\(877\) | 28569.6 | + | 13758.4i | 0.00125431 | + | 0.000604045i | 0.434511 | − | 0.900667i | \(-0.356921\pi\) |
−0.433256 | + | 0.901271i | \(0.642636\pi\) | |||||||
\(878\) | 4.65287e6 | + | 5.83451e6i | 0.203697 | + | 0.255428i | ||||
\(879\) | 2.29732e7 | + | 2.88075e7i | 1.00288 | + | 1.25758i | ||||
\(880\) | 1.27253e7 | − | 6.12816e6i | 0.553937 | − | 0.266762i | ||||
\(881\) | 2.33835e6 | − | 2.93220e6i | 0.101501 | − | 0.127278i | −0.728487 | − | 0.685060i | \(-0.759776\pi\) |
0.829988 | + | 0.557782i | \(0.188347\pi\) | |||||||
\(882\) | −1.55041e6 | −0.0671083 | ||||||||
\(883\) | 4.83876e6 | − | 6.06761e6i | 0.208849 | − | 0.261888i | −0.666363 | − | 0.745627i | \(-0.732150\pi\) |
0.875212 | + | 0.483739i | \(0.160721\pi\) | |||||||
\(884\) | −1.14222e7 | + | 5.00440e7i | −0.491609 | + | 2.15388i | ||||
\(885\) | 1.58414e7 | − | 6.94058e7i | 0.679886 | − | 2.97878i | ||||
\(886\) | 4.51250e6 | − | 5.65849e6i | 0.193122 | − | 0.242168i | ||||
\(887\) | −2.57453e7 | −1.09873 | −0.549363 | − | 0.835584i | \(-0.685130\pi\) | ||||
−0.549363 | + | 0.835584i | \(0.685130\pi\) | |||||||
\(888\) | 4.59602e6 | − | 5.76323e6i | 0.195591 | − | 0.245264i | ||||
\(889\) | −1.49804e7 | + | 7.21416e6i | −0.635723 | + | 0.306148i | ||||
\(890\) | 7.71294e6 | + | 9.67172e6i | 0.326396 | + | 0.409288i | ||||
\(891\) | −3.91039e6 | − | 4.90347e6i | −0.165016 | − | 0.206923i | ||||
\(892\) | −2.10588e7 | − | 1.01414e7i | −0.886180 | − | 0.426762i | ||||
\(893\) | −4.26253e6 | + | 1.86754e7i | −0.178871 | + | 0.783683i | ||||
\(894\) | −263540. | − | 1.15465e6i | −0.0110282 | − | 0.0483176i | ||||
\(895\) | 4.02747e7 | − | 1.93953e7i | 1.68064 | − | 0.809354i | ||||
\(896\) | 2.32056e7 | + | 1.11752e7i | 0.965657 | + | 0.465036i | ||||
\(897\) | −3.17895e6 | − | 1.39279e7i | −0.131917 | − | 0.577968i | ||||
\(898\) | 8.49602e6 | 0.351580 | ||||||||
\(899\) | −172946. | + | 1.06890e6i | −0.00713693 | + | 0.0441099i | ||||
\(900\) | −3.76702e7 | −1.55021 | ||||||||
\(901\) | −4.78656e6 | − | 2.09713e7i | −0.196432 | − | 0.860624i | ||||
\(902\) | 708119. | + | 341012.i | 0.0289794 | + | 0.0139558i | ||||
\(903\) | −3.62960e7 | + | 1.74792e7i | −1.48129 | + | 0.713351i | ||||
\(904\) | −2.03149e6 | − | 8.90056e6i | −0.0826789 | − | 0.362240i | ||||
\(905\) | −1.13776e7 | + | 4.98487e7i | −0.461775 | + | 2.02317i | ||||
\(906\) | −1.87469e7 | − | 9.02805e6i | −0.758769 | − | 0.365404i | ||||
\(907\) | 1.16963e7 | + | 1.46667e7i | 0.472098 | + | 0.591992i | 0.959683 | − | 0.281083i | \(-0.0906938\pi\) |
−0.487586 | + | 0.873075i | \(0.662122\pi\) | |||||||
\(908\) | 5.12002e6 | + | 6.42030e6i | 0.206090 | + | 0.258429i | ||||
\(909\) | −2.21419e7 | + | 1.06630e7i | −0.888803 | + | 0.428025i | ||||
\(910\) | 1.64048e7 | − | 2.05710e7i | 0.656702 | − | 0.823478i | ||||
\(911\) | 222489. | 0.00888205 | 0.00444103 | − | 0.999990i | \(-0.498586\pi\) | ||||
0.00444103 | + | 0.999990i | \(0.498586\pi\) | |||||||
\(912\) | 1.14622e7 | − | 1.43732e7i | 0.456333 | − | 0.572223i | ||||
\(913\) | 1.79346e6 | − | 7.85768e6i | 0.0712059 | − | 0.311973i | ||||
\(914\) | 578676. | − | 2.53534e6i | 0.0229123 | − | 0.100386i | ||||
\(915\) | −5.98104e7 | + | 7.49999e7i | −2.36170 | + | 2.96147i | ||||
\(916\) | −8.14337e6 | −0.320675 | ||||||||
\(917\) | 4.73209e6 | − | 5.93385e6i | 0.185836 | − | 0.233031i | ||||
\(918\) | 1.14903e7 | − | 5.53345e6i | 0.450013 | − | 0.216715i | ||||
\(919\) | −1.15739e7 | − | 1.45132e7i | −0.452055 | − | 0.566859i | 0.502621 | − | 0.864507i | \(-0.332369\pi\) |
−0.954676 | + | 0.297648i | \(0.903798\pi\) | |||||||
\(920\) | 4.36365e6 | + | 5.47184e6i | 0.169973 | + | 0.213140i | ||||
\(921\) | 5.78656e7 | + | 2.78666e7i | 2.24787 | + | 1.08252i | ||||
\(922\) | −1.91458e6 | + | 8.38832e6i | −0.0741730 | + | 0.324973i | ||||
\(923\) | −5.66422e6 | − | 2.48166e7i | −0.218845 | − | 0.958820i | ||||
\(924\) | −2.53792e7 | + | 1.22220e7i | −0.977907 | + | 0.470935i | ||||
\(925\) | −7.94604e6 | − | 3.82661e6i | −0.305349 | − | 0.147048i | ||||
\(926\) | 1.37745e6 | + | 6.03502e6i | 0.0527898 | + | 0.231287i | ||||
\(927\) | −5.10998e7 | −1.95308 | ||||||||
\(928\) | −1.71368e7 | − | 1.88742e7i | −0.653219 | − | 0.719445i | ||||
\(929\) | 1.70231e7 | 0.647141 | 0.323570 | − | 0.946204i | \(-0.395117\pi\) | ||||
0.323570 | + | 0.946204i | \(0.395117\pi\) | |||||||
\(930\) | −258116. | − | 1.13088e6i | −0.00978604 | − | 0.0428754i | ||||
\(931\) | −2.40767e6 | − | 1.15947e6i | −0.0910379 | − | 0.0438416i | ||||
\(932\) | 1.75140e7 | − | 8.43432e6i | 0.660460 | − | 0.318061i | ||||
\(933\) | 1.46571e7 | + | 6.42170e7i | 0.551244 | + | 2.41516i | ||||
\(934\) | 889394. | − | 3.89669e6i | 0.0333601 | − | 0.146160i | ||||
\(935\) | 4.84813e7 | + | 2.33474e7i | 1.81362 | + | 0.873391i | ||||
\(936\) | −2.94228e7 | − | 3.68951e7i | −1.09773 | − | 1.37651i | ||||
\(937\) | −1.72475e7 | − | 2.16277e7i | −0.641767 | − | 0.804750i | 0.349456 | − | 0.936953i | \(-0.386366\pi\) |
−0.991223 | + | 0.132203i | \(0.957795\pi\) | |||||||
\(938\) | −4.10450e6 | + | 1.97662e6i | −0.152319 | + | 0.0733527i | ||||
\(939\) | 5.01433e7 | − | 6.28777e7i | 1.85588 | − | 2.32720i | ||||
\(940\) | 2.98925e7 | 1.10342 | ||||||||
\(941\) | −6.92289e6 | + | 8.68103e6i | −0.254867 | + | 0.319593i | −0.892761 | − | 0.450532i | \(-0.851234\pi\) |
0.637894 | + | 0.770124i | \(0.279806\pi\) | |||||||
\(942\) | −5.64098e6 | + | 2.47147e7i | −0.207123 | + | 0.907463i | ||||
\(943\) | 140850. | − | 617106.i | 0.00515797 | − | 0.0225985i | ||||
\(944\) | 1.12755e7 | − | 1.41391e7i | 0.411819 | − | 0.516405i | ||||
\(945\) | 3.13633e7 | 1.14246 | ||||||||
\(946\) | 5.63024e6 | − | 7.06010e6i | 0.204550 | − | 0.256498i | ||||
\(947\) | −7.76280e6 | + | 3.73837e6i | −0.281283 | + | 0.135459i | −0.569206 | − | 0.822195i | \(-0.692749\pi\) |
0.287923 | + | 0.957653i | \(0.407035\pi\) | |||||||
\(948\) | 2.23072e7 | + | 2.79724e7i | 0.806167 | + | 1.01090i | ||||
\(949\) | 2.74783e6 | + | 3.44567e6i | 0.0990431 | + | 0.124196i | ||||
\(950\) | 1.21930e7 | + | 5.87183e6i | 0.438330 | + | 0.211089i | ||||
\(951\) | 1.30225e7 | − | 5.70554e7i | 0.466921 | − | 2.04572i | ||||
\(952\) | 8.34917e6 | + | 3.65801e7i | 0.298573 | + | 1.30814i | ||||
\(953\) | −4.11967e7 | + | 1.98393e7i | −1.46937 | + | 0.707609i | −0.985835 | − | 0.167718i | \(-0.946360\pi\) |
−0.483531 | + | 0.875327i | \(0.660646\pi\) | |||||||
\(954\) | 8.06778e6 | + | 3.88524e6i | 0.287001 | + | 0.138212i | ||||
\(955\) | 1.08243e7 | + | 4.74245e7i | 0.384054 | + | 1.68265i | ||||
\(956\) | 1.50067e7 | 0.531056 | ||||||||
\(957\) | 3.51858e7 | − | 2.25464e6i | 1.24190 | − | 0.0795789i | ||||
\(958\) | −7.70389e6 | −0.271204 | ||||||||
\(959\) | 3.99908e6 | + | 1.75211e7i | 0.140415 | + | 0.615199i | ||||
\(960\) | −6.62920e6 | − | 3.19245e6i | −0.232158 | − | 0.111801i | ||||
\(961\) | 2.57425e7 | − | 1.23969e7i | 0.899170 | − | 0.433017i | ||||
\(962\) | −1.11323e6 | − | 4.87738e6i | −0.0387836 | − | 0.169922i | ||||
\(963\) | 7.56519e6 | − | 3.31453e7i | 0.262878 | − | 1.15174i | ||||
\(964\) | 1.34327e7 | + | 6.46885e6i | 0.465555 | + | 0.224199i | ||||
\(965\) | 3.12429e7 | + | 3.91774e7i | 1.08002 | + | 1.35431i | ||||
\(966\) | −2.94816e6 | − | 3.69687e6i | −0.101650 | − | 0.127465i | ||||
\(967\) | −3.76817e7 | + | 1.81466e7i | −1.29588 | + | 0.624062i | −0.949422 | − | 0.314003i | \(-0.898330\pi\) |
−0.346457 | + | 0.938066i | \(0.612615\pi\) | |||||||
\(968\) | −5.10171e6 | + | 6.39734e6i | −0.174996 | + | 0.219437i | ||||
\(969\) | 7.00401e7 | 2.39628 | ||||||||
\(970\) | −1.19429e7 | + | 1.49759e7i | −0.407548 | + | 0.511049i | ||||
\(971\) | 1.04837e7 | − | 4.59321e7i | 0.356834 | − | 1.56339i | −0.404194 | − | 0.914673i | \(-0.632448\pi\) |
0.761028 | − | 0.648719i | \(-0.224695\pi\) | |||||||
\(972\) | −6.72377e6 | + | 2.94588e7i | −0.228269 | + | 1.00011i | ||||
\(973\) | 3.74869e7 | − | 4.70070e7i | 1.26940 | − | 1.59177i | ||||
\(974\) | −3.49474e6 | −0.118037 | ||||||||
\(975\) | −5.93568e7 | + | 7.44310e7i | −1.99967 | + | 2.50751i | ||||
\(976\) | −2.19554e7 | + | 1.05732e7i | −0.737763 | + | 0.355288i | ||||
\(977\) | −1.99559e7 | − | 2.50239e7i | −0.668858 | − | 0.838721i | 0.325417 | − | 0.945571i | \(-0.394495\pi\) |
−0.994275 | + | 0.106849i | \(0.965924\pi\) | |||||||
\(978\) | 9.68372e6 | + | 1.21430e7i | 0.323739 | + | 0.405956i | ||||
\(979\) | −1.78842e7 | − | 8.61260e6i | −0.596367 | − | 0.287195i | ||||
\(980\) | −927946. | + | 4.06559e6i | −0.0308644 | + | 0.135226i | ||||
\(981\) | 9.10408e6 | + | 3.98876e7i | 0.302039 | + | 1.32332i | ||||
\(982\) | −8.97512e6 | + | 4.32219e6i | −0.297003 | + | 0.143029i | ||||
\(983\) | −3.62809e7 | − | 1.74719e7i | −1.19755 | − | 0.576710i | −0.274574 | − | 0.961566i | \(-0.588537\pi\) |
−0.922977 | + | 0.384856i | \(0.874251\pi\) | |||||||
\(984\) | −784510. | − | 3.43716e6i | −0.0258292 | − | 0.113165i | ||||
\(985\) | −5.85436e7 | −1.92260 | ||||||||
\(986\) | 3.39658e6 | − | 2.09926e7i | 0.111263 | − | 0.687661i | ||||
\(987\) | −4.46012e7 | −1.45731 | ||||||||
\(988\) | −8.19561e6 | − | 3.59073e7i | −0.267109 | − | 1.17028i | ||||
\(989\) | −6.55237e6 | − | 3.15545e6i | −0.213014 | − | 0.102582i | ||||
\(990\) | −2.01821e7 | + | 9.71918e6i | −0.654452 | + | 0.315168i | ||||
\(991\) | −5.05175e6 | − | 2.21332e7i | −0.163402 | − | 0.715911i | −0.988537 | − | 0.150976i | \(-0.951758\pi\) |
0.825135 | − | 0.564935i | \(-0.191099\pi\) | |||||||
\(992\) | 299469. | − | 1.31206e6i | 0.00966212 | − | 0.0423325i | ||||
\(993\) | 3.74885e7 | + | 1.80535e7i | 1.20649 | + | 0.581016i | ||||
\(994\) | −5.25300e6 | − | 6.58705e6i | −0.168633 | − | 0.211459i | ||||
\(995\) | −1.40731e7 | − | 1.76470e7i | −0.450641 | − | 0.565086i | ||||
\(996\) | −1.47496e7 | + | 7.10301e6i | −0.471119 | + | 0.226879i | ||||
\(997\) | 9.57657e6 | − | 1.20086e7i | 0.305121 | − | 0.382610i | −0.605505 | − | 0.795842i | \(-0.707029\pi\) |
0.910626 | + | 0.413232i | \(0.135600\pi\) | |||||||
\(998\) | 1.06418e7 | 0.338212 | ||||||||
\(999\) | 3.71812e6 | − | 4.66238e6i | 0.117872 | − | 0.147806i |
(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 | 29.6.d.a.7.7 | ✓ | 66 | |
29.5 | even | 14 | 841.6.a.h.1.21 | 33 | |||
29.24 | even | 7 | 841.6.a.i.1.13 | 33 | |||
29.25 | even | 7 | inner | 29.6.d.a.25.7 | yes | 66 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.6.d.a.7.7 | ✓ | 66 | 1.1 | even | 1 | trivial | |
29.6.d.a.25.7 | yes | 66 | 29.25 | even | 7 | inner | |
841.6.a.h.1.21 | 33 | 29.5 | even | 14 | |||
841.6.a.i.1.13 | 33 | 29.24 | even | 7 |