Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [150,6,Mod(31,150)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(150, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("150.31");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 150 = 2 \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 150.g (of order \(5\), degree \(4\), 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: | \(24.0575729719\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 91.5 | ||
Character | \(\chi\) | \(=\) | 150.91 |
Dual form | 150.6.g.b.61.5 |
$q$-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 \(\left(\mathbb{Z}/150\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.23607 | − | 2.35114i | −0.572061 | − | 0.415627i | ||||
\(3\) | 2.78115 | + | 8.55951i | 0.178411 | + | 0.549093i | ||||
\(4\) | 4.94427 | + | 15.2169i | 0.154508 | + | 0.475528i | ||||
\(5\) | 49.1876 | + | 26.5627i | 0.879895 | + | 0.475169i | ||||
\(6\) | 11.1246 | − | 34.2380i | 0.126156 | − | 0.388267i | ||||
\(7\) | −149.411 | −1.15249 | −0.576246 | − | 0.817276i | \(-0.695483\pi\) | ||||
−0.576246 | + | 0.817276i | \(0.695483\pi\) | |||||||
\(8\) | 19.7771 | − | 60.8676i | 0.109254 | − | 0.336249i | ||||
\(9\) | −65.5304 | + | 47.6106i | −0.269672 | + | 0.195928i | ||||
\(10\) | −96.7217 | − | 201.606i | −0.305861 | − | 0.637534i | ||||
\(11\) | 502.003 | + | 364.726i | 1.25090 | + | 0.908836i | 0.998274 | − | 0.0587271i | \(-0.0187042\pi\) |
0.252631 | + | 0.967563i | \(0.418704\pi\) | |||||||
\(12\) | −116.498 | + | 84.6411i | −0.233543 | + | 0.169679i | ||||
\(13\) | −570.117 | + | 414.214i | −0.935632 | + | 0.679777i | −0.947365 | − | 0.320154i | \(-0.896265\pi\) |
0.0117330 | + | 0.999931i | \(0.496265\pi\) | |||||||
\(14\) | 483.505 | + | 351.287i | 0.659296 | + | 0.479007i | ||||
\(15\) | −90.5657 | + | 494.897i | −0.103929 | + | 0.567919i | ||||
\(16\) | −207.108 | + | 150.473i | −0.202254 | + | 0.146946i | ||||
\(17\) | −211.839 | + | 651.972i | −0.177780 | + | 0.547151i | −0.999750 | − | 0.0223809i | \(-0.992875\pi\) |
0.821970 | + | 0.569531i | \(0.192875\pi\) | |||||||
\(18\) | 324.000 | 0.235702 | ||||||||
\(19\) | 651.424 | − | 2004.88i | 0.413980 | − | 1.27410i | −0.499180 | − | 0.866499i | \(-0.666365\pi\) |
0.913160 | − | 0.407602i | \(-0.133635\pi\) | |||||||
\(20\) | −161.006 | + | 879.817i | −0.0900049 | + | 0.491832i | ||||
\(21\) | −415.535 | − | 1278.89i | −0.205617 | − | 0.632825i | ||||
\(22\) | −766.992 | − | 2360.56i | −0.337858 | − | 1.03982i | ||||
\(23\) | −1786.14 | − | 1297.71i | −0.704037 | − | 0.511513i | 0.177207 | − | 0.984174i | \(-0.443294\pi\) |
−0.881245 | + | 0.472661i | \(0.843294\pi\) | |||||||
\(24\) | 576.000 | 0.204124 | ||||||||
\(25\) | 1713.84 | + | 2613.12i | 0.548429 | + | 0.836197i | ||||
\(26\) | 2818.81 | 0.817773 | ||||||||
\(27\) | −589.773 | − | 428.495i | −0.155695 | − | 0.113119i | ||||
\(28\) | −738.729 | − | 2273.58i | −0.178070 | − | 0.548043i | ||||
\(29\) | −1685.98 | − | 5188.91i | −0.372269 | − | 1.14573i | −0.945303 | − | 0.326194i | \(-0.894234\pi\) |
0.573034 | − | 0.819532i | \(-0.305766\pi\) | |||||||
\(30\) | 1456.65 | − | 1388.59i | 0.295496 | − | 0.281689i | ||||
\(31\) | −1393.48 | + | 4288.68i | −0.260433 | + | 0.801530i | 0.732277 | + | 0.681006i | \(0.238457\pi\) |
−0.992710 | + | 0.120524i | \(0.961543\pi\) | |||||||
\(32\) | 1024.00 | 0.176777 | ||||||||
\(33\) | −1725.73 | + | 5311.26i | −0.275860 | + | 0.849009i | ||||
\(34\) | 2218.40 | − | 1611.76i | 0.329112 | − | 0.239114i | ||||
\(35\) | −7349.18 | − | 3968.77i | −1.01407 | − | 0.547628i | ||||
\(36\) | −1048.49 | − | 761.770i | −0.134836 | − | 0.0979642i | ||||
\(37\) | −4054.44 | + | 2945.72i | −0.486885 | + | 0.353743i | −0.803985 | − | 0.594650i | \(-0.797291\pi\) |
0.317100 | + | 0.948392i | \(0.397291\pi\) | |||||||
\(38\) | −6821.80 | + | 4956.33i | −0.766372 | + | 0.556802i | ||||
\(39\) | −5131.05 | − | 3727.93i | −0.540188 | − | 0.392469i | ||||
\(40\) | 2589.60 | − | 2468.60i | 0.255907 | − | 0.243950i | ||||
\(41\) | −12000.7 | + | 8719.01i | −1.11493 | + | 0.810042i | −0.983432 | − | 0.181275i | \(-0.941978\pi\) |
−0.131494 | + | 0.991317i | \(0.541978\pi\) | |||||||
\(42\) | −1662.14 | + | 5115.54i | −0.145393 | + | 0.447475i | ||||
\(43\) | −7818.54 | −0.644843 | −0.322422 | − | 0.946596i | \(-0.604497\pi\) | ||||
−0.322422 | + | 0.946596i | \(0.604497\pi\) | |||||||
\(44\) | −3067.97 | + | 9442.23i | −0.238902 | + | 0.735264i | ||||
\(45\) | −4487.95 | + | 601.186i | −0.330382 | + | 0.0442565i | ||||
\(46\) | 2728.98 | + | 8398.93i | 0.190154 | + | 0.585234i | ||||
\(47\) | 7132.97 | + | 21953.0i | 0.471005 | + | 1.44960i | 0.851271 | + | 0.524727i | \(0.175833\pi\) |
−0.380266 | + | 0.924877i | \(0.624167\pi\) | |||||||
\(48\) | −1863.98 | − | 1354.26i | −0.116772 | − | 0.0848395i | ||||
\(49\) | 5516.70 | 0.328238 | ||||||||
\(50\) | 597.692 | − | 12485.7i | 0.0338106 | − | 0.706298i | ||||
\(51\) | −6169.72 | −0.332154 | ||||||||
\(52\) | −9121.86 | − | 6627.42i | −0.467816 | − | 0.339888i | ||||
\(53\) | −11902.4 | − | 36631.8i | −0.582029 | − | 1.79130i | −0.610889 | − | 0.791716i | \(-0.709188\pi\) |
0.0288601 | − | 0.999583i | \(-0.490812\pi\) | |||||||
\(54\) | 901.094 | + | 2773.28i | 0.0420519 | + | 0.129422i | ||||
\(55\) | 15004.2 | + | 31274.6i | 0.668814 | + | 1.39407i | ||||
\(56\) | −2954.92 | + | 9094.30i | −0.125914 | + | 0.387525i | ||||
\(57\) | 18972.5 | 0.773458 | ||||||||
\(58\) | −6743.91 | + | 20755.6i | −0.263234 | + | 0.810151i | ||||
\(59\) | −34937.9 | + | 25383.9i | −1.30667 | + | 0.949354i | −0.999997 | − | 0.00246041i | \(-0.999217\pi\) |
−0.306676 | + | 0.951814i | \(0.599217\pi\) | |||||||
\(60\) | −7978.58 | + | 1068.77i | −0.286119 | + | 0.0383273i | ||||
\(61\) | 14004.0 | + | 10174.5i | 0.481866 | + | 0.350096i | 0.802048 | − | 0.597260i | \(-0.203744\pi\) |
−0.320182 | + | 0.947356i | \(0.603744\pi\) | |||||||
\(62\) | 14592.7 | − | 10602.2i | 0.482121 | − | 0.350282i | ||||
\(63\) | 9790.97 | − | 7113.56i | 0.310795 | − | 0.225806i | ||||
\(64\) | −3313.73 | − | 2407.57i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −39045.3 | + | 5230.34i | −1.14627 | + | 0.153549i | ||||
\(66\) | 18072.1 | − | 13130.1i | 0.510680 | − | 0.371031i | ||||
\(67\) | −7868.76 | + | 24217.5i | −0.214150 | + | 0.659087i | 0.785062 | + | 0.619417i | \(0.212631\pi\) |
−0.999213 | + | 0.0396707i | \(0.987369\pi\) | |||||||
\(68\) | −10968.4 | −0.287654 | ||||||||
\(69\) | 6140.20 | − | 18897.6i | 0.155260 | − | 0.477841i | ||||
\(70\) | 14451.3 | + | 30122.2i | 0.352502 | + | 0.734752i | ||||
\(71\) | −8483.99 | − | 26111.1i | −0.199735 | − | 0.614722i | −0.999889 | − | 0.0149262i | \(-0.995249\pi\) |
0.800153 | − | 0.599795i | \(-0.204751\pi\) | |||||||
\(72\) | 1601.94 | + | 4930.28i | 0.0364180 | + | 0.112083i | ||||
\(73\) | −35858.5 | − | 26052.7i | −0.787563 | − | 0.572198i | 0.119676 | − | 0.992813i | \(-0.461814\pi\) |
−0.907239 | + | 0.420615i | \(0.861814\pi\) | |||||||
\(74\) | 20046.2 | 0.425553 | ||||||||
\(75\) | −17600.5 | + | 21937.1i | −0.361304 | + | 0.450325i | ||||
\(76\) | 33728.8 | 0.669834 | ||||||||
\(77\) | −75004.8 | − | 54494.2i | −1.44166 | − | 1.04743i | ||||
\(78\) | 7839.54 | + | 24127.6i | 0.145900 | + | 0.449033i | ||||
\(79\) | −1484.16 | − | 4567.77i | −0.0267555 | − | 0.0823448i | 0.936787 | − | 0.349900i | \(-0.113784\pi\) |
−0.963543 | + | 0.267555i | \(0.913784\pi\) | |||||||
\(80\) | −14184.1 | + | 1900.04i | −0.247787 | + | 0.0331924i | ||||
\(81\) | 2027.46 | − | 6239.88i | 0.0343352 | − | 0.105673i | ||||
\(82\) | 59334.6 | 0.974482 | ||||||||
\(83\) | −33151.4 | + | 102030.i | −0.528211 | + | 1.62567i | 0.229668 | + | 0.973269i | \(0.426236\pi\) |
−0.757878 | + | 0.652396i | \(0.773764\pi\) | |||||||
\(84\) | 17406.2 | − | 12646.3i | 0.269157 | − | 0.195554i | ||||
\(85\) | −27738.0 | + | 26441.9i | −0.416416 | + | 0.396959i | ||||
\(86\) | 25301.3 | + | 18382.5i | 0.368890 | + | 0.268014i | ||||
\(87\) | 39725.5 | − | 28862.3i | 0.562693 | − | 0.408820i | ||||
\(88\) | 32128.2 | − | 23342.5i | 0.442262 | − | 0.321322i | ||||
\(89\) | −59634.3 | − | 43326.9i | −0.798033 | − | 0.579805i | 0.112303 | − | 0.993674i | \(-0.464177\pi\) |
−0.910337 | + | 0.413869i | \(0.864177\pi\) | |||||||
\(90\) | 15936.8 | + | 8606.33i | 0.207393 | + | 0.111998i | ||||
\(91\) | 85181.8 | − | 61888.2i | 1.07831 | − | 0.783437i | ||||
\(92\) | 10915.9 | − | 33595.7i | 0.134459 | − | 0.413823i | ||||
\(93\) | −40584.5 | −0.486579 | ||||||||
\(94\) | 28531.9 | − | 87812.0i | 0.333051 | − | 1.02502i | ||||
\(95\) | 85297.0 | − | 81311.5i | 0.969671 | − | 0.924364i | ||||
\(96\) | 2847.90 | + | 8764.94i | 0.0315389 | + | 0.0970668i | ||||
\(97\) | 6251.94 | + | 19241.5i | 0.0674661 | + | 0.207639i | 0.979106 | − | 0.203351i | \(-0.0651831\pi\) |
−0.911640 | + | 0.410990i | \(0.865183\pi\) | |||||||
\(98\) | −17852.4 | − | 12970.5i | −0.187772 | − | 0.136425i | ||||
\(99\) | −50261.3 | −0.515401 | ||||||||
\(100\) | −31289.8 | + | 38999.3i | −0.312898 | + | 0.389993i | ||||
\(101\) | 163803. | 1.59778 | 0.798890 | − | 0.601477i | \(-0.205421\pi\) | ||||
0.798890 | + | 0.601477i | \(0.205421\pi\) | |||||||
\(102\) | 19965.6 | + | 14505.9i | 0.190013 | + | 0.138052i | ||||
\(103\) | 9370.29 | + | 28838.8i | 0.0870282 | + | 0.267845i | 0.985094 | − | 0.172015i | \(-0.0550279\pi\) |
−0.898066 | + | 0.439861i | \(0.855028\pi\) | |||||||
\(104\) | 13937.0 | + | 42893.6i | 0.126353 | + | 0.388874i | ||||
\(105\) | 13531.5 | − | 73943.1i | 0.119777 | − | 0.654522i | ||||
\(106\) | −47609.5 | + | 146527.i | −0.411556 | + | 1.26664i | ||||
\(107\) | −79115.6 | −0.668041 | −0.334020 | − | 0.942566i | \(-0.608405\pi\) | ||||
−0.334020 | + | 0.942566i | \(0.608405\pi\) | |||||||
\(108\) | 3604.37 | − | 11093.1i | 0.0297352 | − | 0.0915155i | ||||
\(109\) | 156315. | − | 113569.i | 1.26018 | − | 0.915578i | 0.261418 | − | 0.965226i | \(-0.415810\pi\) |
0.998767 | + | 0.0496481i | \(0.0158100\pi\) | |||||||
\(110\) | 24976.4 | − | 136484.i | 0.196810 | − | 1.07547i | ||||
\(111\) | −36489.9 | − | 26511.5i | −0.281103 | − | 0.204233i | ||||
\(112\) | 30944.3 | − | 22482.3i | 0.233096 | − | 0.169354i | ||||
\(113\) | 191985. | − | 139485.i | 1.41440 | − | 1.02762i | 0.421734 | − | 0.906719i | \(-0.361421\pi\) |
0.992665 | − | 0.120901i | \(-0.0385785\pi\) | |||||||
\(114\) | −61396.2 | − | 44606.9i | −0.442465 | − | 0.321470i | ||||
\(115\) | −53385.3 | − | 111276.i | −0.376424 | − | 0.784614i | ||||
\(116\) | 70623.2 | − | 51310.7i | 0.487306 | − | 0.354049i | ||||
\(117\) | 17639.0 | − | 54287.2i | 0.119127 | − | 0.366634i | ||||
\(118\) | 172743. | 1.14207 | ||||||||
\(119\) | 31651.1 | − | 97411.9i | 0.204890 | − | 0.630587i | ||||
\(120\) | 28332.1 | + | 15300.1i | 0.179608 | + | 0.0969934i | ||||
\(121\) | 69213.9 | + | 213019.i | 0.429764 | + | 1.32268i | ||||
\(122\) | −21396.1 | − | 65850.5i | −0.130148 | − | 0.400553i | ||||
\(123\) | −108006. | − | 78471.1i | −0.643703 | − | 0.467678i | ||||
\(124\) | −72150.2 | −0.421389 | ||||||||
\(125\) | 14888.3 | + | 174057.i | 0.0852257 | + | 0.996362i | ||||
\(126\) | −48409.2 | −0.271645 | ||||||||
\(127\) | 112559. | + | 81778.6i | 0.619255 | + | 0.449915i | 0.852661 | − | 0.522464i | \(-0.174987\pi\) |
−0.233406 | + | 0.972379i | \(0.574987\pi\) | |||||||
\(128\) | 5062.93 | + | 15582.1i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | −21744.5 | − | 66922.8i | −0.115047 | − | 0.354079i | ||||
\(130\) | 138651. | + | 74875.3i | 0.719554 | + | 0.388580i | ||||
\(131\) | −18810.1 | + | 57891.6i | −0.0957665 | + | 0.294739i | −0.987453 | − | 0.157915i | \(-0.949523\pi\) |
0.891686 | + | 0.452654i | \(0.149523\pi\) | |||||||
\(132\) | −89353.4 | −0.446351 | ||||||||
\(133\) | −97330.0 | + | 299551.i | −0.477109 | + | 1.46839i | ||||
\(134\) | 82402.7 | − | 59869.1i | 0.396442 | − | 0.288032i | ||||
\(135\) | −17627.5 | − | 36742.7i | −0.0832448 | − | 0.173515i | ||||
\(136\) | 35494.4 | + | 25788.2i | 0.164556 | + | 0.119557i | ||||
\(137\) | −238027. | + | 172937.i | −1.08349 | + | 0.787202i | −0.978288 | − | 0.207249i | \(-0.933549\pi\) |
−0.105203 | + | 0.994451i | \(0.533549\pi\) | |||||||
\(138\) | −64301.0 | + | 46717.4i | −0.287422 | + | 0.208824i | ||||
\(139\) | 48304.2 | + | 35095.1i | 0.212055 | + | 0.154067i | 0.688743 | − | 0.725006i | \(-0.258163\pi\) |
−0.476688 | + | 0.879073i | \(0.658163\pi\) | |||||||
\(140\) | 24056.0 | − | 131454.i | 0.103730 | − | 0.566833i | ||||
\(141\) | −168069. | + | 122109.i | −0.711935 | + | 0.517251i | ||||
\(142\) | −33936.0 | + | 104444.i | −0.141234 | + | 0.434674i | ||||
\(143\) | −437275. | −1.78819 | ||||||||
\(144\) | 6407.78 | − | 19721.1i | 0.0257514 | − | 0.0792547i | ||||
\(145\) | 54902.3 | − | 300014.i | 0.216856 | − | 1.18501i | ||||
\(146\) | 54786.9 | + | 168617.i | 0.212713 | + | 0.654665i | ||||
\(147\) | 15342.8 | + | 47220.2i | 0.0585613 | + | 0.180233i | ||||
\(148\) | −64871.0 | − | 47131.5i | −0.243442 | − | 0.176871i | ||||
\(149\) | 229940. | 0.848496 | 0.424248 | − | 0.905546i | \(-0.360539\pi\) | ||||
0.424248 | + | 0.905546i | \(0.360539\pi\) | |||||||
\(150\) | 108534. | − | 29608.7i | 0.393855 | − | 0.107446i | ||||
\(151\) | 231184. | 0.825118 | 0.412559 | − | 0.910931i | \(-0.364635\pi\) | ||||
0.412559 | + | 0.910931i | \(0.364635\pi\) | |||||||
\(152\) | −109149. | − | 79301.2i | −0.383186 | − | 0.278401i | ||||
\(153\) | −17158.9 | − | 52809.8i | −0.0592600 | − | 0.182384i | ||||
\(154\) | 114597. | + | 352694.i | 0.389379 | + | 1.19838i | ||||
\(155\) | −182461. | + | 173936.i | −0.610016 | + | 0.581513i | ||||
\(156\) | 31358.2 | − | 96510.6i | 0.103167 | − | 0.317514i | ||||
\(157\) | 151858. | 0.491686 | 0.245843 | − | 0.969310i | \(-0.420935\pi\) | ||||
0.245843 | + | 0.969310i | \(0.420935\pi\) | |||||||
\(158\) | −5936.63 | + | 18271.1i | −0.0189190 | + | 0.0582266i | ||||
\(159\) | 280448. | − | 203757.i | 0.879749 | − | 0.639175i | ||||
\(160\) | 50368.1 | + | 27200.2i | 0.155545 | + | 0.0839987i | ||||
\(161\) | 266869. | + | 193892.i | 0.811397 | + | 0.589515i | ||||
\(162\) | −21231.8 | + | 15425.8i | −0.0635624 | + | 0.0461808i | ||||
\(163\) | −387450. | + | 281499.i | −1.14221 | + | 0.829866i | −0.987426 | − | 0.158082i | \(-0.949469\pi\) |
−0.154787 | + | 0.987948i | \(0.549469\pi\) | |||||||
\(164\) | −192011. | − | 139504.i | −0.557463 | − | 0.405021i | ||||
\(165\) | −225966. | + | 215408.i | −0.646150 | + | 0.615959i | ||||
\(166\) | 347166. | − | 252231.i | 0.977839 | − | 0.710442i | ||||
\(167\) | 101899. | − | 313612.i | 0.282734 | − | 0.870165i | −0.704335 | − | 0.709868i | \(-0.748755\pi\) |
0.987069 | − | 0.160297i | \(-0.0512452\pi\) | |||||||
\(168\) | −86060.8 | −0.235251 | ||||||||
\(169\) | 38723.9 | − | 119180.i | 0.104295 | − | 0.320986i | ||||
\(170\) | 151931. | − | 20352.0i | 0.403203 | − | 0.0540113i | ||||
\(171\) | 52765.3 | + | 162395.i | 0.137993 | + | 0.424700i | ||||
\(172\) | −38657.0 | − | 118974.i | −0.0996338 | − | 0.306641i | ||||
\(173\) | 147653. | + | 107276.i | 0.375081 | + | 0.272513i | 0.759315 | − | 0.650723i | \(-0.225534\pi\) |
−0.384233 | + | 0.923236i | \(0.625534\pi\) | |||||||
\(174\) | −196414. | −0.491812 | ||||||||
\(175\) | −256067. | − | 390429.i | −0.632061 | − | 0.963710i | ||||
\(176\) | −158850. | −0.386551 | ||||||||
\(177\) | −314441. | − | 228455.i | −0.754408 | − | 0.548110i | ||||
\(178\) | 91113.1 | + | 280417.i | 0.215541 | + | 0.663368i | ||||
\(179\) | 5863.61 | + | 18046.3i | 0.0136783 | + | 0.0420975i | 0.957663 | − | 0.287893i | \(-0.0929546\pi\) |
−0.943984 | + | 0.329990i | \(0.892955\pi\) | |||||||
\(180\) | −31337.8 | − | 65320.3i | −0.0720921 | − | 0.150268i | ||||
\(181\) | −70374.2 | + | 216590.i | −0.159668 | + | 0.491407i | −0.998604 | − | 0.0528230i | \(-0.983178\pi\) |
0.838936 | + | 0.544230i | \(0.183178\pi\) | |||||||
\(182\) | −421162. | −0.942477 | ||||||||
\(183\) | −48141.3 | + | 148164.i | −0.106265 | + | 0.327050i | ||||
\(184\) | −114313. | + | 83053.2i | −0.248915 | + | 0.180847i | ||||
\(185\) | −277674. | + | 37196.0i | −0.596495 | + | 0.0799038i | ||||
\(186\) | 131334. | + | 95419.9i | 0.278353 | + | 0.202235i | ||||
\(187\) | −344135. | + | 250029.i | −0.719656 | + | 0.522861i | ||||
\(188\) | −298790. | + | 217083.i | −0.616554 | + | 0.447952i | ||||
\(189\) | 88118.7 | + | 64022.0i | 0.179438 | + | 0.130369i | ||||
\(190\) | −467202. | + | 62584.2i | −0.938902 | + | 0.125771i | ||||
\(191\) | −191269. | + | 138965.i | −0.379369 | + | 0.275628i | −0.761085 | − | 0.648652i | \(-0.775333\pi\) |
0.381716 | + | 0.924280i | \(0.375333\pi\) | |||||||
\(192\) | 11391.6 | − | 35059.7i | 0.0223014 | − | 0.0686366i | ||||
\(193\) | 606882. | 1.17276 | 0.586382 | − | 0.810034i | \(-0.300552\pi\) | ||||
0.586382 | + | 0.810034i | \(0.300552\pi\) | |||||||
\(194\) | 25007.8 | − | 76966.0i | 0.0477057 | − | 0.146823i | ||||
\(195\) | −153360. | − | 319662.i | −0.288819 | − | 0.602012i | ||||
\(196\) | 27276.0 | + | 83947.0i | 0.0507156 | + | 0.156086i | ||||
\(197\) | −211144. | − | 649833.i | −0.387625 | − | 1.19299i | −0.934558 | − | 0.355812i | \(-0.884204\pi\) |
0.546932 | − | 0.837177i | \(-0.315796\pi\) | |||||||
\(198\) | 162649. | + | 118171.i | 0.294841 | + | 0.214215i | ||||
\(199\) | 62343.7 | 0.111599 | 0.0557995 | − | 0.998442i | \(-0.482229\pi\) | ||||
0.0557995 | + | 0.998442i | \(0.482229\pi\) | |||||||
\(200\) | 192949. | − | 52637.7i | 0.341089 | − | 0.0930512i | ||||
\(201\) | −229174. | −0.400107 | ||||||||
\(202\) | −530076. | − | 385123.i | −0.914029 | − | 0.664081i | ||||
\(203\) | 251904. | + | 775281.i | 0.429037 | + | 1.32044i | ||||
\(204\) | −30504.8 | − | 93884.0i | −0.0513207 | − | 0.157949i | ||||
\(205\) | −821886. | + | 110096.i | −1.36592 | + | 0.182973i | ||||
\(206\) | 37481.2 | − | 115355.i | 0.0615382 | − | 0.189395i | ||||
\(207\) | 178831. | 0.290079 | ||||||||
\(208\) | 55747.9 | − | 171574.i | 0.0893449 | − | 0.274975i | ||||
\(209\) | 1.05825e6 | − | 768862.i | 1.67580 | − | 1.21754i | ||||
\(210\) | −217640. | + | 207470.i | −0.340557 | + | 0.324644i | ||||
\(211\) | 634183. | + | 460761.i | 0.980637 | + | 0.712475i | 0.957851 | − | 0.287266i | \(-0.0927463\pi\) |
0.0227863 | + | 0.999740i | \(0.492746\pi\) | |||||||
\(212\) | 498574. | − | 362235.i | 0.761885 | − | 0.553542i | ||||
\(213\) | 199902. | − | 145238.i | 0.301904 | − | 0.219346i | ||||
\(214\) | 256024. | + | 186012.i | 0.382160 | + | 0.277656i | ||||
\(215\) | −384575. | − | 207682.i | −0.567394 | − | 0.306409i | ||||
\(216\) | −37745.5 | + | 27423.7i | −0.0550466 | + | 0.0399937i | ||||
\(217\) | 208201. | − | 640777.i | 0.300147 | − | 0.923757i | ||||
\(218\) | −772863. | −1.10144 | ||||||||
\(219\) | 123271. | − | 379388.i | 0.173680 | − | 0.534531i | ||||
\(220\) | −401718. | + | 382947.i | −0.559582 | + | 0.533436i | ||||
\(221\) | −149283. | − | 459447.i | −0.205603 | − | 0.632782i | ||||
\(222\) | 55751.7 | + | 171586.i | 0.0759233 | + | 0.233668i | ||||
\(223\) | 480395. | + | 349028.i | 0.646899 | + | 0.470000i | 0.862214 | − | 0.506545i | \(-0.169078\pi\) |
−0.215314 | + | 0.976545i | \(0.569078\pi\) | |||||||
\(224\) | −152997. | −0.203734 | ||||||||
\(225\) | −236721. | − | 89641.4i | −0.311731 | − | 0.118046i | ||||
\(226\) | −949228. | −1.23623 | ||||||||
\(227\) | 695507. | + | 505316.i | 0.895853 | + | 0.650876i | 0.937398 | − | 0.348261i | \(-0.113228\pi\) |
−0.0415441 | + | 0.999137i | \(0.513228\pi\) | |||||||
\(228\) | 93805.0 | + | 288702.i | 0.119506 | + | 0.367801i | ||||
\(229\) | −15932.9 | − | 49036.5i | −0.0200774 | − | 0.0617918i | 0.940516 | − | 0.339750i | \(-0.110342\pi\) |
−0.960593 | + | 0.277958i | \(0.910342\pi\) | |||||||
\(230\) | −88866.6 | + | 485612.i | −0.110769 | + | 0.605299i | ||||
\(231\) | 257844. | − | 793561.i | 0.317926 | − | 0.978476i | ||||
\(232\) | −349180. | −0.425921 | ||||||||
\(233\) | −401269. | + | 1.23498e6i | −0.484224 | + | 1.49029i | 0.348878 | + | 0.937168i | \(0.386563\pi\) |
−0.833102 | + | 0.553120i | \(0.813437\pi\) | |||||||
\(234\) | −184718. | + | 134205.i | −0.220531 | + | 0.160225i | ||||
\(235\) | −232278. | + | 1.26929e6i | −0.274372 | + | 1.49931i | ||||
\(236\) | −559007. | − | 406142.i | −0.653337 | − | 0.474677i | ||||
\(237\) | 34970.2 | − | 25407.3i | 0.0404415 | − | 0.0293825i | ||||
\(238\) | −331454. | + | 240816.i | −0.379298 | + | 0.275576i | ||||
\(239\) | 1.14062e6 | + | 828709.i | 1.29165 | + | 0.938442i | 0.999837 | − | 0.0180328i | \(-0.00574032\pi\) |
0.291817 | + | 0.956474i | \(0.405740\pi\) | |||||||
\(240\) | −55711.7 | − | 116125.i | −0.0624336 | − | 0.130136i | ||||
\(241\) | 855634. | − | 621654.i | 0.948954 | − | 0.689456i | −0.00160489 | − | 0.999999i | \(-0.500511\pi\) |
0.950559 | + | 0.310543i | \(0.100511\pi\) | |||||||
\(242\) | 276856. | − | 852074.i | 0.303889 | − | 0.935274i | ||||
\(243\) | 59049.0 | 0.0641500 | ||||||||
\(244\) | −85584.6 | + | 263402.i | −0.0920282 | + | 0.283234i | ||||
\(245\) | 271353. | + | 146539.i | 0.288815 | + | 0.155968i | ||||
\(246\) | 165019. | + | 507875.i | 0.173858 | + | 0.535081i | ||||
\(247\) | 459060. | + | 1.41284e6i | 0.478770 | + | 1.47350i | ||||
\(248\) | 233483. | + | 169635.i | 0.241061 | + | 0.175141i | ||||
\(249\) | −965523. | −0.986880 | ||||||||
\(250\) | 361053. | − | 598266.i | 0.365360 | − | 0.605402i | ||||
\(251\) | −1.26184e6 | −1.26421 | −0.632106 | − | 0.774882i | \(-0.717809\pi\) | ||||
−0.632106 | + | 0.774882i | \(0.717809\pi\) | |||||||
\(252\) | 156656. | + | 113817.i | 0.155398 | + | 0.112903i | ||||
\(253\) | −423339. | − | 1.30290e6i | −0.415802 | − | 1.27971i | ||||
\(254\) | −171974. | − | 529282.i | −0.167255 | − | 0.514758i | ||||
\(255\) | −303474. | − | 163885.i | −0.292261 | − | 0.157829i | ||||
\(256\) | 20251.7 | − | 62328.4i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −599127. | −0.565830 | −0.282915 | − | 0.959145i | \(-0.591302\pi\) | ||||
−0.282915 | + | 0.959145i | \(0.591302\pi\) | |||||||
\(258\) | −86978.2 | + | 267691.i | −0.0813507 | + | 0.250372i | ||||
\(259\) | 605778. | − | 440124.i | 0.561131 | − | 0.407685i | ||||
\(260\) | −272640. | − | 568289.i | −0.250125 | − | 0.521358i | ||||
\(261\) | 357530. | + | 259761.i | 0.324871 | + | 0.236033i | ||||
\(262\) | 196982. | − | 143116.i | 0.177286 | − | 0.128806i | ||||
\(263\) | −29427.8 | + | 21380.6i | −0.0262343 | + | 0.0190603i | −0.600825 | − | 0.799380i | \(-0.705161\pi\) |
0.574591 | + | 0.818441i | \(0.305161\pi\) | |||||||
\(264\) | 289154. | + | 210082.i | 0.255340 | + | 0.185515i | ||||
\(265\) | 387590. | − | 2.11799e6i | 0.339046 | − | 1.85272i | ||||
\(266\) | 1.01925e6 | − | 740531.i | 0.883238 | − | 0.641710i | ||||
\(267\) | 205004. | − | 630939.i | 0.175989 | − | 0.541638i | ||||
\(268\) | −407421. | −0.346503 | ||||||||
\(269\) | −185306. | + | 570313.i | −0.156138 | + | 0.480544i | −0.998274 | − | 0.0587211i | \(-0.981298\pi\) |
0.842136 | + | 0.539265i | \(0.181298\pi\) | |||||||
\(270\) | −29343.3 | + | 160347.i | −0.0244962 | + | 0.133860i | ||||
\(271\) | 203286. | + | 625651.i | 0.168145 | + | 0.517498i | 0.999254 | − | 0.0386116i | \(-0.0122935\pi\) |
−0.831109 | + | 0.556110i | \(0.812294\pi\) | |||||||
\(272\) | −54230.7 | − | 166905.i | −0.0444450 | − | 0.136788i | ||||
\(273\) | 766636. | + | 556994.i | 0.622562 | + | 0.452318i | ||||
\(274\) | 1.17687e6 | 0.947006 | ||||||||
\(275\) | −92718.4 | + | 1.93687e6i | −0.0739323 | + | 1.54444i | ||||
\(276\) | 317922. | 0.251216 | ||||||||
\(277\) | −1.82419e6 | − | 1.32535e6i | −1.42847 | − | 1.03784i | −0.990299 | − | 0.138951i | \(-0.955627\pi\) |
−0.438170 | − | 0.898892i | \(-0.644373\pi\) | |||||||
\(278\) | −73802.3 | − | 227140.i | −0.0572741 | − | 0.176271i | ||||
\(279\) | −112872. | − | 347383.i | −0.0868110 | − | 0.267177i | ||||
\(280\) | −386915. | + | 368836.i | −0.294931 | + | 0.281150i | ||||
\(281\) | −356355. | + | 1.09675e6i | −0.269226 | + | 0.828593i | 0.721463 | + | 0.692453i | \(0.243470\pi\) |
−0.990690 | + | 0.136140i | \(0.956530\pi\) | |||||||
\(282\) | 830979. | 0.622254 | ||||||||
\(283\) | 140457. | − | 432283.i | 0.104250 | − | 0.320850i | −0.885303 | − | 0.465014i | \(-0.846049\pi\) |
0.989554 | + | 0.144164i | \(0.0460493\pi\) | |||||||
\(284\) | 355382. | − | 258200.i | 0.261457 | − | 0.189959i | ||||
\(285\) | 933210. | + | 503961.i | 0.680561 | + | 0.367523i | ||||
\(286\) | 1.41505e6 | + | 1.02809e6i | 1.02296 | + | 0.743221i | ||||
\(287\) | 1.79304e6 | − | 1.30272e6i | 1.28494 | − | 0.933567i | ||||
\(288\) | −67103.1 | + | 48753.3i | −0.0476718 | + | 0.0346356i | ||||
\(289\) | 768496. | + | 558345.i | 0.541249 | + | 0.393240i | ||||
\(290\) | −883043. | + | 841783.i | −0.616576 | + | 0.587767i | ||||
\(291\) | −147310. | + | 107027.i | −0.101977 | + | 0.0740903i | ||||
\(292\) | 219148. | − | 674467.i | 0.150411 | − | 0.462918i | ||||
\(293\) | 592499. | 0.403198 | 0.201599 | − | 0.979468i | \(-0.435386\pi\) | ||||
0.201599 | + | 0.979468i | \(0.435386\pi\) | |||||||
\(294\) | 61371.1 | − | 188881.i | 0.0414091 | − | 0.127444i | ||||
\(295\) | −2.39278e6 | + | 320526.i | −1.60084 | + | 0.214441i | ||||
\(296\) | 99114.0 | + | 305042.i | 0.0657515 | + | 0.202362i | ||||
\(297\) | −139784. | − | 430212.i | −0.0919533 | − | 0.283003i | ||||
\(298\) | −744103. | − | 540622.i | −0.485392 | − | 0.352658i | ||||
\(299\) | 1.55583e6 | 1.00643 | ||||||||
\(300\) | −420837. | − | 159362.i | −0.269967 | − | 0.102231i | ||||
\(301\) | 1.16818e6 | 0.743177 | ||||||||
\(302\) | −748128. | − | 543547.i | −0.472018 | − | 0.342941i | ||||
\(303\) | 455560. | + | 1.40207e6i | 0.285062 | + | 0.877330i | ||||
\(304\) | 166764. | + | 513248.i | 0.103495 | + | 0.318525i | ||||
\(305\) | 418559. | + | 872441.i | 0.257637 | + | 0.537015i | ||||
\(306\) | −68635.7 | + | 211239.i | −0.0419031 | + | 0.128965i | ||||
\(307\) | −1.84778e6 | −1.11893 | −0.559467 | − | 0.828853i | \(-0.688994\pi\) | ||||
−0.559467 | + | 0.828853i | \(0.688994\pi\) | |||||||
\(308\) | 458389. | − | 1.41077e6i | 0.275332 | − | 0.847385i | ||||
\(309\) | −220786. | + | 160410.i | −0.131545 | + | 0.0955731i | ||||
\(310\) | 999403. | − | 133876.i | 0.590659 | − | 0.0791220i | ||||
\(311\) | 728088. | + | 528987.i | 0.426858 | + | 0.310130i | 0.780391 | − | 0.625292i | \(-0.215020\pi\) |
−0.353533 | + | 0.935422i | \(0.615020\pi\) | |||||||
\(312\) | −328387. | + | 238587.i | −0.190985 | + | 0.138759i | ||||
\(313\) | 546604. | − | 397131.i | 0.315364 | − | 0.229125i | −0.418831 | − | 0.908064i | \(-0.637560\pi\) |
0.734195 | + | 0.678939i | \(0.237560\pi\) | |||||||
\(314\) | −491422. | − | 357039.i | −0.281275 | − | 0.204358i | ||||
\(315\) | 670550. | − | 89823.9i | 0.380763 | − | 0.0510053i | ||||
\(316\) | 62169.2 | − | 45168.6i | 0.0350234 | − | 0.0254460i | ||||
\(317\) | −176680. | + | 543764.i | −0.0987503 | + | 0.303922i | −0.988213 | − | 0.153086i | \(-0.951079\pi\) |
0.889463 | + | 0.457008i | \(0.151079\pi\) | |||||||
\(318\) | −1.38661e6 | −0.768929 | ||||||||
\(319\) | 1.04617e6 | − | 3.21977e6i | 0.575604 | − | 1.77153i | ||||
\(320\) | −99043.0 | − | 206444.i | −0.0540691 | − | 0.112701i | ||||
\(321\) | −220033. | − | 677191.i | −0.119186 | − | 0.366816i | ||||
\(322\) | −407740. | − | 1.25489e6i | −0.219151 | − | 0.674477i | ||||
\(323\) | 1.16913e6 | + | 849421.i | 0.623527 | + | 0.453019i | ||||
\(324\) | 104976. | 0.0555556 | ||||||||
\(325\) | −2.05948e6 | − | 779883.i | −1.08156 | − | 0.409563i | ||||
\(326\) | 1.91566e6 | 0.998331 | ||||||||
\(327\) | 1.40683e6 | + | 1.02212e6i | 0.727568 | + | 0.528609i | ||||
\(328\) | 293367. | + | 902890.i | 0.150566 | + | 0.463394i | ||||
\(329\) | −1.06574e6 | − | 3.28002e6i | −0.542829 | − | 1.67066i | ||||
\(330\) | 1.23770e6 | − | 165796.i | 0.625647 | − | 0.0838088i | ||||
\(331\) | 145230. | − | 446971.i | 0.0728593 | − | 0.224238i | −0.907995 | − | 0.418981i | \(-0.862387\pi\) |
0.980854 | + | 0.194743i | \(0.0623874\pi\) | |||||||
\(332\) | −1.71648e6 | −0.854663 | ||||||||
\(333\) | 125441. | − | 386068.i | 0.0619911 | − | 0.190789i | ||||
\(334\) | −1.06710e6 | + | 775291.i | −0.523405 | + | 0.380276i | ||||
\(335\) | −1.03033e6 | + | 982187.i | −0.501608 | + | 0.478170i | ||||
\(336\) | 278499. | + | 202341.i | 0.134578 | + | 0.0977768i | ||||
\(337\) | 2.64758e6 | − | 1.92358e6i | 1.26991 | − | 0.922645i | 0.270713 | − | 0.962660i | \(-0.412741\pi\) |
0.999199 | + | 0.0400150i | \(0.0127406\pi\) | |||||||
\(338\) | −405521. | + | 294629.i | −0.193073 | + | 0.140276i | ||||
\(339\) | 1.72787e6 | + | 1.25537e6i | 0.816604 | + | 0.593297i | ||||
\(340\) | −539509. | − | 291350.i | −0.253105 | − | 0.136684i | ||||
\(341\) | −2.26373e6 | + | 1.64469e6i | −1.05424 | + | 0.765947i | ||||
\(342\) | 211061. | − | 649580.i | 0.0975761 | − | 0.300308i | ||||
\(343\) | 1.68690e6 | 0.774200 | ||||||||
\(344\) | −154628. | + | 475896.i | −0.0704517 | + | 0.216828i | ||||
\(345\) | 803993. | − | 766427.i | 0.363668 | − | 0.346675i | ||||
\(346\) | −225593. | − | 694304.i | −0.101306 | − | 0.311788i | ||||
\(347\) | −1.14771e6 | − | 3.53230e6i | −0.511693 | − | 1.57483i | −0.789219 | − | 0.614112i | \(-0.789514\pi\) |
0.277526 | − | 0.960718i | \(-0.410486\pi\) | |||||||
\(348\) | 635608. | + | 461797.i | 0.281347 | + | 0.204410i | ||||
\(349\) | −3.63391e6 | −1.59702 | −0.798511 | − | 0.601980i | \(-0.794379\pi\) | ||||
−0.798511 | + | 0.601980i | \(0.794379\pi\) | |||||||
\(350\) | −89301.9 | + | 1.86550e6i | −0.0389664 | + | 0.814003i | ||||
\(351\) | 513728. | 0.222570 | ||||||||
\(352\) | 514051. | + | 373480.i | 0.221131 | + | 0.160661i | ||||
\(353\) | −742143. | − | 2.28408e6i | −0.316994 | − | 0.975606i | −0.974926 | − | 0.222529i | \(-0.928569\pi\) |
0.657932 | − | 0.753077i | \(-0.271431\pi\) | |||||||
\(354\) | 480423. | + | 1.47859e6i | 0.203759 | + | 0.627105i | ||||
\(355\) | 276274. | − | 1.50970e6i | 0.116351 | − | 0.635798i | ||||
\(356\) | 364452. | − | 1.12167e6i | 0.152411 | − | 0.469072i | ||||
\(357\) | 921825. | 0.382805 | ||||||||
\(358\) | 23454.4 | − | 72185.3i | 0.00967202 | − | 0.0297674i | ||||
\(359\) | −292878. | + | 212789.i | −0.119936 | + | 0.0871390i | −0.646136 | − | 0.763222i | \(-0.723616\pi\) |
0.526200 | + | 0.850361i | \(0.323616\pi\) | |||||||
\(360\) | −52165.8 | + | 285061.i | −0.0212144 | + | 0.115926i | ||||
\(361\) | −1.59197e6 | − | 1.15663e6i | −0.642935 | − | 0.467119i | ||||
\(362\) | 736969. | − | 535439.i | 0.295582 | − | 0.214753i | ||||
\(363\) | −1.63084e6 | + | 1.18487e6i | −0.649598 | + | 0.471961i | ||||
\(364\) | 1.36291e6 | + | 990211.i | 0.539154 | + | 0.391719i | ||||
\(365\) | −1.07176e6 | − | 2.23397e6i | −0.421082 | − | 0.877699i | ||||
\(366\) | 504142. | − | 366281.i | 0.196721 | − | 0.142926i | ||||
\(367\) | −860363. | + | 2.64792e6i | −0.333439 | + | 1.02622i | 0.634047 | + | 0.773295i | \(0.281393\pi\) |
−0.967486 | + | 0.252925i | \(0.918607\pi\) | |||||||
\(368\) | 565194. | 0.217559 | ||||||||
\(369\) | 371292. | − | 1.14272e6i | 0.141955 | − | 0.436892i | ||||
\(370\) | 986027. | + | 532483.i | 0.374442 | + | 0.202209i | ||||
\(371\) | 1.77835e6 | + | 5.47320e6i | 0.670783 | + | 2.06446i | ||||
\(372\) | −200661. | − | 617571.i | −0.0751805 | − | 0.231382i | ||||
\(373\) | 990627. | + | 719733.i | 0.368670 | + | 0.267855i | 0.756659 | − | 0.653809i | \(-0.226830\pi\) |
−0.387989 | + | 0.921664i | \(0.626830\pi\) | |||||||
\(374\) | 1.70150e6 | 0.629002 | ||||||||
\(375\) | −1.44844e6 | + | 611516.i | −0.531890 | + | 0.224559i | ||||
\(376\) | 1.47730e6 | 0.538888 | ||||||||
\(377\) | 3.11052e6 | + | 2.25993e6i | 1.12714 | + | 0.818919i | ||||
\(378\) | −134633. | − | 414359.i | −0.0484645 | − | 0.149158i | ||||
\(379\) | 336636. | + | 1.03606e6i | 0.120382 | + | 0.370499i | 0.993032 | − | 0.117849i | \(-0.0375998\pi\) |
−0.872649 | + | 0.488348i | \(0.837600\pi\) | |||||||
\(380\) | 1.65904e6 | + | 895930.i | 0.589383 | + | 0.318284i | ||||
\(381\) | −386942. | + | 1.19088e6i | −0.136563 | + | 0.420298i | ||||
\(382\) | 945688. | 0.331581 | ||||||||
\(383\) | −851853. | + | 2.62173e6i | −0.296734 | + | 0.913254i | 0.685899 | + | 0.727696i | \(0.259409\pi\) |
−0.982633 | + | 0.185557i | \(0.940591\pi\) | |||||||
\(384\) | −119294. | + | 86672.5i | −0.0412850 | + | 0.0299953i | ||||
\(385\) | −2.24179e6 | − | 4.67277e6i | −0.770803 | − | 1.60666i | ||||
\(386\) | −1.96391e6 | − | 1.42686e6i | −0.670893 | − | 0.487433i | ||||
\(387\) | 512352. | − | 372245.i | 0.173896 | − | 0.126343i | ||||
\(388\) | −261885. | + | 190270.i | −0.0883142 | + | 0.0641641i | ||||
\(389\) | 87604.3 | + | 63648.2i | 0.0293529 | + | 0.0213261i | 0.602365 | − | 0.798221i | \(-0.294225\pi\) |
−0.573012 | + | 0.819547i | \(0.694225\pi\) | |||||||
\(390\) | −255288. | + | 1.39502e6i | −0.0849901 | + | 0.464429i | ||||
\(391\) | 1.22444e6 | − | 889609.i | 0.405038 | − | 0.294278i | ||||
\(392\) | 109104. | − | 335788.i | 0.0358613 | − | 0.110370i | ||||
\(393\) | −547838. | −0.178925 | ||||||||
\(394\) | −844574. | + | 2.59933e6i | −0.274093 | + | 0.843570i | ||||
\(395\) | 48330.3 | − | 264101.i | 0.0155857 | − | 0.0851682i | ||||
\(396\) | −248505. | − | 764821.i | −0.0796339 | − | 0.245088i | ||||
\(397\) | 573771. | + | 1.76589e6i | 0.182710 | + | 0.562323i | 0.999901 | − | 0.0140429i | \(-0.00447015\pi\) |
−0.817191 | + | 0.576366i | \(0.804470\pi\) | |||||||
\(398\) | −201749. | − | 146579.i | −0.0638414 | − | 0.0463835i | ||||
\(399\) | −2.83470e6 | −0.891404 | ||||||||
\(400\) | −748154. | − | 283311.i | −0.233798 | − | 0.0885347i | ||||
\(401\) | −3.13928e6 | −0.974921 | −0.487461 | − | 0.873145i | \(-0.662077\pi\) | ||||
−0.487461 | + | 0.873145i | \(0.662077\pi\) | |||||||
\(402\) | 741624. | + | 538821.i | 0.228886 | + | 0.166295i | ||||
\(403\) | −981988. | − | 3.02225e6i | −0.301192 | − | 0.926974i | ||||
\(404\) | 809884. | + | 2.49257e6i | 0.246871 | + | 0.759790i | ||||
\(405\) | 265474. | − | 253070.i | 0.0804239 | − | 0.0766660i | ||||
\(406\) | 1.00762e6 | − | 3.10112e6i | 0.303375 | − | 0.933692i | ||||
\(407\) | −3.10972e6 | −0.930540 | ||||||||
\(408\) | −122019. | + | 375536.i | −0.0362892 | + | 0.111687i | ||||
\(409\) | −5.21628e6 | + | 3.78985e6i | −1.54189 | + | 1.12025i | −0.592747 | + | 0.805389i | \(0.701957\pi\) |
−0.949139 | + | 0.314857i | \(0.898043\pi\) | |||||||
\(410\) | 2.91853e6 | + | 1.57609e6i | 0.857441 | + | 0.463043i | ||||
\(411\) | −2.14225e6 | − | 1.55643e6i | −0.625554 | − | 0.454491i | ||||
\(412\) | −392508. | + | 285174.i | −0.113921 | + | 0.0827687i | ||||
\(413\) | 5.22011e6 | − | 3.79264e6i | 1.50593 | − | 1.09412i | ||||
\(414\) | −578709. | − | 420457.i | −0.165943 | − | 0.120565i | ||||
\(415\) | −4.34083e6 | + | 4.13800e6i | −1.23723 | + | 1.17943i | ||||
\(416\) | −583799. | + | 424155.i | −0.165398 | + | 0.120169i | ||||
\(417\) | −166055. | + | 511065.i | −0.0467641 | + | 0.143925i | ||||
\(418\) | −5.23226e6 | −1.46470 | ||||||||
\(419\) | −732316. | + | 2.25384e6i | −0.203781 | + | 0.627173i | 0.795980 | + | 0.605322i | \(0.206956\pi\) |
−0.999761 | + | 0.0218506i | \(0.993044\pi\) | |||||||
\(420\) | 1.19209e6 | − | 159687.i | 0.329750 | − | 0.0441719i | ||||
\(421\) | −52078.9 | − | 160282.i | −0.0143204 | − | 0.0440738i | 0.943641 | − | 0.330971i | \(-0.107376\pi\) |
−0.957961 | + | 0.286897i | \(0.907376\pi\) | |||||||
\(422\) | −968945. | − | 2.98211e6i | −0.264861 | − | 0.815159i | ||||
\(423\) | −1.51262e6 | − | 1.09898e6i | −0.411036 | − | 0.298635i | ||||
\(424\) | −2.46508e6 | −0.665912 | ||||||||
\(425\) | −2.06674e6 | + | 563819.i | −0.555025 | + | 0.151414i | ||||
\(426\) | −988372. | −0.263874 | ||||||||
\(427\) | −2.09235e6 | − | 1.52018e6i | −0.555347 | − | 0.403483i | ||||
\(428\) | −391169. | − | 1.20389e6i | −0.103218 | − | 0.317672i | ||||
\(429\) | −1.21613e6 | − | 3.74286e6i | −0.319033 | − | 0.981884i | ||||
\(430\) | 756222. | + | 1.57626e6i | 0.197232 | + | 0.411109i | ||||
\(431\) | −1.19518e6 | + | 3.67840e6i | −0.309914 | + | 0.953818i | 0.667883 | + | 0.744266i | \(0.267201\pi\) |
−0.977797 | + | 0.209552i | \(0.932799\pi\) | |||||||
\(432\) | 186624. | 0.0481125 | ||||||||
\(433\) | −1.56732e6 | + | 4.82373e6i | −0.401735 | + | 1.23641i | 0.521857 | + | 0.853033i | \(0.325240\pi\) |
−0.923591 | + | 0.383379i | \(0.874760\pi\) | |||||||
\(434\) | −2.18031e6 | + | 1.58409e6i | −0.555641 | + | 0.403697i | ||||
\(435\) | 2.72066e6 | − | 364448.i | 0.689369 | − | 0.0923448i | ||||
\(436\) | 2.50104e6 | + | 1.81711e6i | 0.630092 | + | 0.457789i | ||||
\(437\) | −3.76527e6 | + | 2.73563e6i | −0.943176 | + | 0.685257i | ||||
\(438\) | −1.29091e6 | + | 937898.i | −0.321521 | + | 0.233599i | ||||
\(439\) | 262895. | + | 191004.i | 0.0651060 | + | 0.0473023i | 0.619862 | − | 0.784711i | \(-0.287188\pi\) |
−0.554756 | + | 0.832013i | \(0.687188\pi\) | |||||||
\(440\) | 2.20035e6 | − | 294749.i | 0.541826 | − | 0.0725806i | ||||
\(441\) | −361511. | + | 262653.i | −0.0885167 | + | 0.0643111i | ||||
\(442\) | −597133. | + | 1.83779e6i | −0.145384 | + | 0.447445i | ||||
\(443\) | 6.11251e6 | 1.47982 | 0.739912 | − | 0.672703i | \(-0.234867\pi\) | ||||
0.739912 | + | 0.672703i | \(0.234867\pi\) | |||||||
\(444\) | 223007. | − | 686344.i | 0.0536859 | − | 0.165228i | ||||
\(445\) | −1.78239e6 | − | 3.71519e6i | −0.426680 | − | 0.889368i | ||||
\(446\) | −733979. | − | 2.25895e6i | −0.174721 | − | 0.537737i | ||||
\(447\) | 639500. | + | 1.96818e6i | 0.151381 | + | 0.465903i | ||||
\(448\) | 495109. | + | 359718.i | 0.116548 | + | 0.0846772i | ||||
\(449\) | 6.11027e6 | 1.43036 | 0.715179 | − | 0.698941i | \(-0.246345\pi\) | ||||
0.715179 | + | 0.698941i | \(0.246345\pi\) | |||||||
\(450\) | 555285. | + | 846649.i | 0.129266 | + | 0.197093i | ||||
\(451\) | −9.20443e6 | −2.13086 | ||||||||
\(452\) | 3.07177e6 | + | 2.23177e6i | 0.707199 | + | 0.513810i | ||||
\(453\) | 642959. | + | 1.97882e6i | 0.147210 | + | 0.453066i | ||||
\(454\) | −1.06264e6 | − | 3.27047e6i | −0.241962 | − | 0.744682i | ||||
\(455\) | 5.83381e6 | − | 781471.i | 1.32106 | − | 0.176964i | ||||
\(456\) | 375220. | − | 1.15481e6i | 0.0845034 | − | 0.260075i | ||||
\(457\) | −4.21726e6 | −0.944582 | −0.472291 | − | 0.881443i | \(-0.656573\pi\) | ||||
−0.472291 | + | 0.881443i | \(0.656573\pi\) | |||||||
\(458\) | −63731.7 | + | 196146.i | −0.0141969 | + | 0.0436934i | ||||
\(459\) | 404304. | − | 293744.i | 0.0895728 | − | 0.0650785i | ||||
\(460\) | 1.42932e6 | − | 1.36254e6i | 0.314945 | − | 0.300230i | ||||
\(461\) | −119051. | − | 86495.8i | −0.0260905 | − | 0.0189558i | 0.574664 | − | 0.818390i | \(-0.305133\pi\) |
−0.600754 | + | 0.799434i | \(0.705133\pi\) | |||||||
\(462\) | −2.70017e6 | + | 1.96179e6i | −0.588554 | + | 0.427610i | ||||
\(463\) | −3.10495e6 | + | 2.25587e6i | −0.673134 | + | 0.489060i | −0.871073 | − | 0.491154i | \(-0.836575\pi\) |
0.197939 | + | 0.980214i | \(0.436575\pi\) | |||||||
\(464\) | 1.12997e6 | + | 820972.i | 0.243653 | + | 0.177024i | ||||
\(465\) | −1.99626e6 | − | 1.07804e6i | −0.428138 | − | 0.231207i | ||||
\(466\) | 4.20215e6 | − | 3.05304e6i | 0.896410 | − | 0.651280i | ||||
\(467\) | −1.95447e6 | + | 6.01525e6i | −0.414703 | + | 1.27633i | 0.497813 | + | 0.867285i | \(0.334137\pi\) |
−0.912516 | + | 0.409041i | \(0.865863\pi\) | |||||||
\(468\) | 913295. | 0.192751 | ||||||||
\(469\) | 1.17568e6 | − | 3.61837e6i | 0.246807 | − | 0.759593i | ||||
\(470\) | 3.73594e6 | − | 3.56138e6i | 0.780109 | − | 0.743659i | ||||
\(471\) | 422340. | + | 1.29983e6i | 0.0877222 | + | 0.269981i | ||||
\(472\) | 854086. | + | 2.62861e6i | 0.176460 | + | 0.543089i | ||||
\(473\) | −3.92493e6 | − | 2.85163e6i | −0.806638 | − | 0.586057i | ||||
\(474\) | −172902. | −0.0353472 | ||||||||
\(475\) | 6.35541e6 | − | 1.73380e6i | 1.29244 | − | 0.352585i | ||||
\(476\) | 1.63880e6 | 0.331519 | ||||||||
\(477\) | 2.52403e6 | + | 1.83381e6i | 0.507924 | + | 0.369028i | ||||
\(478\) | −1.74271e6 | − | 5.36352e6i | −0.348864 | − | 1.07369i | ||||
\(479\) | −1.57955e6 | − | 4.86134e6i | −0.314553 | − | 0.968093i | −0.975938 | − | 0.218047i | \(-0.930031\pi\) |
0.661386 | − | 0.750046i | \(-0.269969\pi\) | |||||||
\(480\) | −92739.3 | + | 506774.i | −0.0183722 | + | 0.100395i | ||||
\(481\) | 1.09134e6 | − | 3.35881e6i | 0.215079 | − | 0.661946i | ||||
\(482\) | −4.23049e6 | −0.829417 | ||||||||
\(483\) | −917414. | + | 2.82351e6i | −0.178936 | + | 0.550708i | ||||
\(484\) | −2.89927e6 | + | 2.10644e6i | −0.562568 | + | 0.408730i | ||||
\(485\) | −203589. | + | 1.11251e6i | −0.0393006 | + | 0.214758i | ||||
\(486\) | −191087. | − | 138833.i | −0.0366978 | − | 0.0266625i | ||||
\(487\) | 4.01838e6 | − | 2.91953e6i | 0.767766 | − | 0.557815i | −0.133517 | − | 0.991047i | \(-0.542627\pi\) |
0.901282 | + | 0.433232i | \(0.142627\pi\) | |||||||
\(488\) | 896253. | − | 651166.i | 0.170365 | − | 0.123778i | ||||
\(489\) | −3.48705e6 | − | 2.53349e6i | −0.659457 | − | 0.479123i | ||||
\(490\) | −533584. | − | 1.11220e6i | −0.100395 | − | 0.209263i | ||||
\(491\) | −4.85579e6 | + | 3.52794e6i | −0.908984 | + | 0.660416i | −0.940758 | − | 0.339079i | \(-0.889885\pi\) |
0.0317734 | + | 0.999495i | \(0.489885\pi\) | |||||||
\(492\) | 660075. | − | 2.03150e6i | 0.122936 | − | 0.378359i | ||||
\(493\) | 3.74018e6 | 0.693067 | ||||||||
\(494\) | 1.83624e6 | − | 5.65137e6i | 0.338542 | − | 1.04192i | ||||
\(495\) | −2.47223e6 | − | 1.33508e6i | −0.453499 | − | 0.244903i | ||||
\(496\) | −356730. | − | 1.09790e6i | −0.0651082 | − | 0.200383i | ||||
\(497\) | 1.26760e6 | + | 3.90128e6i | 0.230193 | + | 0.708462i | ||||
\(498\) | 3.12450e6 | + | 2.27008e6i | 0.564556 | + | 0.410174i | ||||
\(499\) | 4.43768e6 | 0.797820 | 0.398910 | − | 0.916990i | \(-0.369389\pi\) | ||||
0.398910 | + | 0.916990i | \(0.369389\pi\) | |||||||
\(500\) | −2.57500e6 | + | 1.08714e6i | −0.460630 | + | 0.194474i | ||||
\(501\) | 2.96776e6 | 0.528244 | ||||||||
\(502\) | 4.08340e6 | + | 2.96676e6i | 0.723207 | + | 0.525441i | ||||
\(503\) | −2.28869e6 | − | 7.04387e6i | −0.403336 | − | 1.24134i | −0.922277 | − | 0.386531i | \(-0.873673\pi\) |
0.518940 | − | 0.854810i | \(-0.326327\pi\) | |||||||
\(504\) | −239348. | − | 736638.i | −0.0419715 | − | 0.129175i | ||||
\(505\) | 8.05705e6 | + | 4.35104e6i | 1.40588 | + | 0.759215i | ||||
\(506\) | −1.69336e6 | + | 5.21161e6i | −0.294017 | + | 0.904890i | ||||
\(507\) | 1.12782e6 | 0.194858 | ||||||||
\(508\) | −687897. | + | 2.11713e6i | −0.118267 | + | 0.363989i | ||||
\(509\) | −74501.2 | + | 54128.3i | −0.0127459 | + | 0.00926041i | −0.594140 | − | 0.804362i | \(-0.702507\pi\) |
0.581394 | + | 0.813622i | \(0.302507\pi\) | |||||||
\(510\) | 596746. | + | 1.24385e6i | 0.101593 | + | 0.211760i | ||||
\(511\) | 5.35766e6 | + | 3.89257e6i | 0.907660 | + | 0.659453i | ||||
\(512\) | −212079. | + | 154084.i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | −1.24327e6 | + | 903291.i | −0.208580 | + | 0.151542i | ||||
\(514\) | 1.93882e6 | + | 1.40863e6i | 0.323690 | + | 0.235174i | ||||
\(515\) | −305135. | + | 1.66741e6i | −0.0506960 | + | 0.277029i | ||||
\(516\) | 910847. | − | 661769.i | 0.150599 | − | 0.109416i | ||||
\(517\) | −4.42607e6 | + | 1.36221e7i | −0.728270 | + | 2.24138i | ||||
\(518\) | −2.99513e6 | −0.490446 | ||||||||
\(519\) | −507584. | + | 1.56218e6i | −0.0827160 | + | 0.254574i | ||||
\(520\) | −453845. | + | 2.48004e6i | −0.0736036 | + | 0.402207i | ||||
\(521\) | −1.41168e6 | − | 4.34470e6i | −0.227846 | − | 0.701238i | −0.997990 | − | 0.0633680i | \(-0.979816\pi\) |
0.770144 | − | 0.637870i | \(-0.220184\pi\) | |||||||
\(522\) | −546257. | − | 1.68121e6i | −0.0877446 | − | 0.270050i | ||||
\(523\) | 5.07005e6 | + | 3.68361e6i | 0.810510 | + | 0.588870i | 0.913978 | − | 0.405763i | \(-0.132994\pi\) |
−0.103469 | + | 0.994633i | \(0.532994\pi\) | |||||||
\(524\) | −973933. | −0.154953 | ||||||||
\(525\) | 2.62971e6 | − | 3.27765e6i | 0.416400 | − | 0.518996i | ||||
\(526\) | 145499. | 0.0229296 | ||||||||
\(527\) | −2.50091e6 | − | 1.81702e6i | −0.392258 | − | 0.284992i | ||||
\(528\) | −441787. | − | 1.35968e6i | −0.0689649 | − | 0.212252i | ||||
\(529\) | −482689. | − | 1.48556e6i | −0.0749942 | − | 0.230808i | ||||
\(530\) | −6.23396e6 | + | 5.94268e6i | −0.963994 | + | 0.918951i | ||||
\(531\) | 1.08095e6 | − | 3.32683e6i | 0.166368 | − | 0.512029i | ||||
\(532\) | −5.03946e6 | −0.771978 | ||||||||
\(533\) | 3.23025e6 | − | 9.94170e6i | 0.492514 | − | 1.51580i | ||||
\(534\) | −2.14683e6 | + | 1.55977e6i | −0.325796 | + | 0.236704i | ||||
\(535\) | −3.89151e6 | − | 2.10153e6i | −0.587805 | − | 0.317432i | ||||
\(536\) | 1.31844e6 | + | 957905.i | 0.198221 | + | 0.144016i | ||||
\(537\) | −138160. | + | 100379.i | −0.0206751 | + | 0.0150213i | ||||
\(538\) | 1.94055e6 | − | 1.40989e6i | 0.289047 | − | 0.210005i | ||||
\(539\) | 2.76940e6 | + | 2.01208e6i | 0.410595 | + | 0.298314i | ||||
\(540\) | 471954. | − | 449902.i | 0.0696491 | − | 0.0663947i | ||||
\(541\) | 7.87453e6 | − | 5.72118e6i | 1.15673 | − | 0.840412i | 0.167367 | − | 0.985895i | \(-0.446473\pi\) |
0.989361 | + | 0.145482i | \(0.0464734\pi\) | |||||||
\(542\) | 813145. | − | 2.50260e6i | 0.118897 | − | 0.365926i | ||||
\(543\) | −2.04962e6 | −0.298314 | ||||||||
\(544\) | −216923. | + | 667620.i | −0.0314274 | + | 0.0967235i | ||||
\(545\) | 1.07055e7 | − | 1.43406e6i | 1.54388 | − | 0.206812i | ||||
\(546\) | −1.17132e6 | − | 3.60494e6i | −0.168148 | − | 0.517507i | ||||
\(547\) | 3.48965e6 | + | 1.07400e7i | 0.498670 | + | 1.53475i | 0.811158 | + | 0.584827i | \(0.198838\pi\) |
−0.312488 | + | 0.949922i | \(0.601162\pi\) | |||||||
\(548\) | −3.80844e6 | − | 2.76699e6i | −0.541745 | − | 0.393601i | ||||
\(549\) | −1.40210e6 | −0.198540 | ||||||||
\(550\) | 4.85391e6 | − | 6.04986e6i | 0.684203 | − | 0.852783i | ||||
\(551\) | −1.15014e7 | −1.61388 | ||||||||
\(552\) | −1.02882e6 | − | 747478.i | −0.143711 | − | 0.104412i | ||||
\(553\) | 221750. | + | 682476.i | 0.0308355 | + | 0.0949018i | ||||
\(554\) | 2.78712e6 | + | 8.57786e6i | 0.385816 | + | 1.18742i | ||||
\(555\) | −1.09063e6 | − | 2.27331e6i | −0.150296 | − | 0.313275i | ||||
\(556\) | −295209. | + | 908561.i | −0.0404989 | + | 0.124643i | ||||
\(557\) | 8.05694e6 | 1.10035 | 0.550177 | − | 0.835048i | \(-0.314560\pi\) | ||||
0.550177 | + | 0.835048i | \(0.314560\pi\) | |||||||
\(558\) | −451487. | + | 1.38953e6i | −0.0613846 | + | 0.188922i | ||||
\(559\) | 4.45748e6 | − | 3.23855e6i | 0.603336 | − | 0.438350i | ||||
\(560\) | 2.11927e6 | − | 283888.i | 0.285572 | − | 0.0382540i | ||||
\(561\) | −3.09722e6 | − | 2.25026e6i | −0.415493 | − | 0.301874i | ||||
\(562\) | 3.73180e6 | − | 2.71131e6i | 0.498399 | − | 0.362108i | ||||
\(563\) | −1.53773e6 | + | 1.11723e6i | −0.204460 | + | 0.148549i | −0.685304 | − | 0.728257i | \(-0.740331\pi\) |
0.480843 | + | 0.876806i | \(0.340331\pi\) | |||||||
\(564\) | −2.68911e6 | − | 1.95375e6i | −0.355967 | − | 0.258625i | ||||
\(565\) | 1.31484e7 | − | 1.76130e6i | 1.73282 | − | 0.232120i | ||||
\(566\) | −1.47089e6 | + | 1.06866e6i | −0.192992 | + | 0.140217i | ||||
\(567\) | −302925. | + | 932308.i | −0.0395711 | + | 0.121787i | ||||
\(568\) | −1.75711e6 | −0.228522 | ||||||||
\(569\) | 4.10910e6 | − | 1.26465e7i | 0.532067 | − | 1.63753i | −0.217836 | − | 0.975985i | \(-0.569900\pi\) |
0.749903 | − | 0.661548i | \(-0.230100\pi\) | |||||||
\(570\) | −1.83505e6 | − | 3.82496e6i | −0.236571 | − | 0.493105i | ||||
\(571\) | 1.19643e6 | + | 3.68224e6i | 0.153567 | + | 0.472631i | 0.998013 | − | 0.0630101i | \(-0.0200700\pi\) |
−0.844446 | + | 0.535641i | \(0.820070\pi\) | |||||||
\(572\) | −2.16201e6 | − | 6.65397e6i | −0.276291 | − | 0.850336i | ||||
\(573\) | −1.72142e6 | − | 1.25069e6i | −0.219029 | − | 0.159134i | ||||
\(574\) | −8.86526e6 | −1.12308 | ||||||||
\(575\) | 329895. | − | 6.89145e6i | 0.0416107 | − | 0.869242i | ||||
\(576\) | 331776. | 0.0416667 | ||||||||
\(577\) | 7.85401e6 | + | 5.70627e6i | 0.982092 | + | 0.713532i | 0.958175 | − | 0.286182i | \(-0.0923863\pi\) |
0.0239167 | + | 0.999714i | \(0.492386\pi\) | |||||||
\(578\) | −1.17416e6 | − | 3.61369e6i | −0.146186 | − | 0.449915i | ||||
\(579\) | 1.68783e6 | + | 5.19461e6i | 0.209234 | + | 0.643957i | ||||
\(580\) | 4.83674e6 | − | 647908.i | 0.597011 | − | 0.0799730i | ||||
\(581\) | 4.95319e6 | − | 1.52444e7i | 0.608759 | − | 1.87357i | ||||
\(582\) | 728341. | 0.0891307 | ||||||||
\(583\) | 7.38554e6 | − | 2.27304e7i | 0.899935 | − | 2.76971i | ||||
\(584\) | −2.29494e6 | + | 1.66738e6i | −0.278445 | + | 0.202302i | ||||
\(585\) | 2.30964e6 | − | 2.20172e6i | 0.279032 | − | 0.265994i | ||||
\(586\) | −1.91737e6 | − | 1.39305e6i | −0.230654 | − | 0.167580i | ||||
\(587\) | −640.885 | + | 465.630i | −7.67689e−5 | + | 5.57758e-5i | −0.587824 | − | 0.808989i | \(-0.700015\pi\) |
0.587747 | + | 0.809045i | \(0.300015\pi\) | |||||||
\(588\) | −642687. | + | 466939.i | −0.0766577 | + | 0.0556951i | ||||
\(589\) | 7.69054e6 | + | 5.58750e6i | 0.913416 | + | 0.663635i | ||||
\(590\) | 8.49679e6 | + | 4.58851e6i | 1.00491 | + | 0.542678i | ||||
\(591\) | 4.97503e6 | − | 3.61457e6i | 0.585905 | − | 0.425685i | ||||
\(592\) | 396456. | − | 1.22017e6i | 0.0464934 | − | 0.143092i | ||||
\(593\) | 4.68247e6 | 0.546812 | 0.273406 | − | 0.961899i | \(-0.411850\pi\) | ||||
0.273406 | + | 0.961899i | \(0.411850\pi\) | |||||||
\(594\) | −559137. | + | 1.72085e6i | −0.0650208 | + | 0.200113i | ||||
\(595\) | 4.14437e6 | − | 3.95072e6i | 0.479917 | − | 0.457493i | ||||
\(596\) | 1.13689e6 | + | 3.49898e6i | 0.131100 | + | 0.403484i | ||||
\(597\) | 173387. | + | 533632.i | 0.0199105 | + | 0.0612782i | ||||
\(598\) | −5.03479e6 | − | 3.65799e6i | −0.575742 | − | 0.418301i | ||||
\(599\) | −1.54968e7 | −1.76472 | −0.882360 | − | 0.470576i | \(-0.844046\pi\) | ||||
−0.882360 | + | 0.470576i | \(0.844046\pi\) | |||||||
\(600\) | 987173. | + | 1.50515e6i | 0.111948 | + | 0.170688i | ||||
\(601\) | −6.79001e6 | −0.766803 | −0.383402 | − | 0.923582i | \(-0.625248\pi\) | ||||
−0.383402 | + | 0.923582i | \(0.625248\pi\) | |||||||
\(602\) | −3.78030e6 | − | 2.74655e6i | −0.425143 | − | 0.308884i | ||||
\(603\) | −637369. | − | 1.96162e6i | −0.0713835 | − | 0.219696i | ||||
\(604\) | 1.14304e6 | + | 3.51791e6i | 0.127488 | + | 0.392367i | ||||
\(605\) | −2.25389e6 | + | 1.23164e7i | −0.250348 | + | 1.36803i | ||||
\(606\) | 1.82224e6 | − | 5.60828e6i | 0.201569 | − | 0.620366i | ||||
\(607\) | 1.64442e7 | 1.81152 | 0.905758 | − | 0.423795i | \(-0.139302\pi\) | ||||
0.905758 | + | 0.423795i | \(0.139302\pi\) | |||||||
\(608\) | 667058. | − | 2.05299e6i | 0.0731821 | − | 0.225231i | ||||
\(609\) | −5.93544e6 | + | 4.31235e6i | −0.648499 | + | 0.471162i | ||||
\(610\) | 696746. | − | 3.80737e6i | 0.0758140 | − | 0.414286i | ||||
\(611\) | −1.31599e7 | − | 9.56120e6i | −1.42609 | − | 1.03612i | ||||
\(612\) | 718763. | − | 522212.i | 0.0775723 | − | 0.0563596i | ||||
\(613\) | −4.58501e6 | + | 3.33120e6i | −0.492821 | + | 0.358055i | −0.806268 | − | 0.591550i | \(-0.798516\pi\) |
0.313447 | + | 0.949606i | \(0.398516\pi\) | |||||||
\(614\) | 5.97954e6 | + | 4.34439e6i | 0.640099 | + | 0.465059i | ||||
\(615\) | −3.22816e6 | − | 6.72874e6i | −0.344165 | − | 0.717375i | ||||
\(616\) | −4.80031e6 | + | 3.48763e6i | −0.509703 | + | 0.370321i | ||||
\(617\) | 1.11691e6 | − | 3.43750e6i | 0.118115 | − | 0.363521i | −0.874469 | − | 0.485082i | \(-0.838790\pi\) |
0.992584 | + | 0.121561i | \(0.0387899\pi\) | |||||||
\(618\) | 1.09162e6 | 0.114975 | ||||||||
\(619\) | −3.25021e6 | + | 1.00031e7i | −0.340946 | + | 1.04932i | 0.622773 | + | 0.782403i | \(0.286006\pi\) |
−0.963719 | + | 0.266920i | \(0.913994\pi\) | |||||||
\(620\) | −3.54890e6 | − | 1.91651e6i | −0.370778 | − | 0.200231i | ||||
\(621\) | 497356. | + | 1.53070e6i | 0.0517533 | + | 0.159280i | ||||
\(622\) | −1.11242e6 | − | 3.42368e6i | −0.115290 | − | 0.354827i | ||||
\(623\) | 8.91003e6 | + | 6.47352e6i | 0.919727 | + | 0.668221i | ||||
\(624\) | 1.62364e6 | 0.166927 | ||||||||
\(625\) | −3.89112e6 | + | 8.95693e6i | −0.398450 | + | 0.917190i | ||||
\(626\) | −2.70256e6 | −0.275638 | ||||||||
\(627\) | 9.52423e6 | + | 6.91976e6i | 0.967522 | + | 0.702946i | ||||
\(628\) | 750826. | + | 2.31081e6i | 0.0759697 | + | 0.233811i | ||||
\(629\) | −1.06164e6 | − | 3.26740e6i | −0.106992 | − | 0.329288i | ||||
\(630\) | −2.38113e6 | − | 1.28588e6i | −0.239019 | − | 0.129077i | ||||
\(631\) | −4.20139e6 | + | 1.29305e7i | −0.420068 | + | 1.29284i | 0.487571 | + | 0.873084i | \(0.337883\pi\) |
−0.907639 | + | 0.419753i | \(0.862117\pi\) | |||||||
\(632\) | −307382. | −0.0306115 | ||||||||
\(633\) | −2.18013e6 | + | 6.70974e6i | −0.216258 | + | 0.665574i | ||||
\(634\) | 1.85021e6 | − | 1.34426e6i | 0.182809 | − | 0.132819i | ||||
\(635\) | 3.36422e6 | + | 7.01236e6i | 0.331093 | + | 0.690128i | ||||
\(636\) | 4.48716e6 | + | 3.26011e6i | 0.439875 | + | 0.319588i | ||||
\(637\) | −3.14516e6 | + | 2.28509e6i | −0.307110 | + | 0.223129i | ||||
\(638\) | −1.09556e7 | + | 7.95970e6i | −1.06557 | + | 0.774185i | ||||
\(639\) | 1.79912e6 | + | 1.30714e6i | 0.174304 | + | 0.126640i | ||||
\(640\) | −164870. | + | 900932.i | −0.0159108 | + | 0.0869445i | ||||
\(641\) | −1.17047e7 | + | 8.50396e6i | −1.12516 | + | 0.817478i | −0.984984 | − | 0.172648i | \(-0.944768\pi\) |
−0.140179 | + | 0.990126i | \(0.544768\pi\) | |||||||
\(642\) | −880131. | + | 2.70876e6i | −0.0842771 | + | 0.259378i | ||||
\(643\) | 1.17106e7 | 1.11700 | 0.558499 | − | 0.829505i | \(-0.311378\pi\) | ||||
0.558499 | + | 0.829505i | \(0.311378\pi\) | |||||||
\(644\) | −1.63096e6 | + | 5.01957e6i | −0.154963 | + | 0.476927i | ||||
\(645\) | 708091. | − | 3.86937e6i | 0.0670178 | − | 0.366219i | ||||
\(646\) | −1.78627e6 | − | 5.49757e6i | −0.168409 | − | 0.518309i | ||||
\(647\) | −1.22227e6 | − | 3.76175e6i | −0.114790 | − | 0.353288i | 0.877113 | − | 0.480284i | \(-0.159466\pi\) |
−0.991903 | + | 0.126996i | \(0.959466\pi\) | |||||||
\(648\) | −339709. | − | 246813.i | −0.0317812 | − | 0.0230904i | ||||
\(649\) | −2.67971e7 | −2.49733 | ||||||||
\(650\) | 4.83100e6 | + | 7.36588e6i | 0.448491 | + | 0.683819i | ||||
\(651\) | 6.06378e6 | 0.560778 | ||||||||
\(652\) | −6.19920e6 | − | 4.50399e6i | −0.571106 | − | 0.414933i | ||||
\(653\) | −4.86986e6 | − | 1.49879e7i | −0.446924 | − | 1.37549i | −0.880360 | − | 0.474307i | \(-0.842699\pi\) |
0.433435 | − | 0.901185i | \(-0.357301\pi\) | |||||||
\(654\) | −2.14945e6 | − | 6.61533e6i | −0.196509 | − | 0.604794i | ||||
\(655\) | −2.46298e6 | + | 2.34790e6i | −0.224315 | + | 0.213834i | ||||
\(656\) | 1.17347e6 | − | 3.61156e6i | 0.106466 | − | 0.327669i | ||||
\(657\) | 3.59021e6 | 0.324494 | ||||||||
\(658\) | −4.26298e6 | + | 1.31201e7i | −0.383838 | + | 1.18133i | ||||
\(659\) | 7.34165e6 | − | 5.33402e6i | 0.658537 | − | 0.478455i | −0.207632 | − | 0.978207i | \(-0.566576\pi\) |
0.866168 | + | 0.499752i | \(0.166576\pi\) | |||||||
\(660\) | −4.39508e6 | − | 2.37347e6i | −0.392741 | − | 0.212092i | ||||
\(661\) | −5.22951e6 | − | 3.79946e6i | −0.465540 | − | 0.338235i | 0.330160 | − | 0.943925i | \(-0.392897\pi\) |
−0.795701 | + | 0.605690i | \(0.792897\pi\) | |||||||
\(662\) | −1.52086e6 | + | 1.10497e6i | −0.134879 | + | 0.0979955i | ||||
\(663\) | 3.51746e6 | − | 2.55558e6i | 0.310774 | − | 0.225791i | ||||
\(664\) | 5.55466e6 | + | 4.03570e6i | 0.488920 | + | 0.355221i | ||||
\(665\) | −1.27443e7 | + | 1.21488e7i | −1.11754 | + | 1.06532i | ||||
\(666\) | −1.31364e6 | + | 954414.i | −0.114760 | + | 0.0833779i | ||||
\(667\) | −3.72228e6 | + | 1.14560e7i | −0.323962 | + | 0.997054i | ||||
\(668\) | 5.27602e6 | 0.457473 | ||||||||
\(669\) | −1.65145e6 | + | 5.08265e6i | −0.142659 | + | 0.439061i | ||||
\(670\) | 5.64348e6 | − | 755975.i | 0.485691 | − | 0.0650610i | ||||
\(671\) | 3.31913e6 | + | 1.02152e7i | 0.284589 | + | 0.875874i | ||||
\(672\) | −425508. | − | 1.30958e6i | −0.0363483 | − | 0.111869i | ||||
\(673\) | 1.27067e7 | + | 9.23195e6i | 1.08142 | + | 0.785698i | 0.977930 | − | 0.208932i | \(-0.0669987\pi\) |
0.103491 | + | 0.994630i | \(0.466999\pi\) | |||||||
\(674\) | −1.30903e7 | −1.10994 | ||||||||
\(675\) | 108929. | − | 2.27552e6i | 0.00920208 | − | 0.192230i | ||||
\(676\) | 2.00501e6 | 0.168752 | ||||||||
\(677\) | −4.72289e6 | − | 3.43138e6i | −0.396037 | − | 0.287738i | 0.371888 | − | 0.928278i | \(-0.378711\pi\) |
−0.767925 | + | 0.640540i | \(0.778711\pi\) | |||||||
\(678\) | −2.63995e6 | − | 8.12492e6i | −0.220557 | − | 0.678805i | ||||
\(679\) | −934110. | − | 2.87489e6i | −0.0777541 | − | 0.239303i | ||||
\(680\) | 1.06088e6 | + | 2.21129e6i | 0.0879821 | + | 0.183389i | ||||
\(681\) | −2.39094e6 | + | 7.35856e6i | −0.197561 | + | 0.608030i | ||||
\(682\) | 1.11925e7 | 0.921436 | ||||||||
\(683\) | 4.46029e6 | − | 1.37274e7i | 0.365857 | − | 1.12599i | −0.583586 | − | 0.812051i | \(-0.698351\pi\) |
0.949443 | − | 0.313940i | \(-0.101649\pi\) | |||||||
\(684\) | −2.21026e6 | + | 1.60585e6i | −0.180636 | + | 0.131240i | ||||
\(685\) | −1.63017e7 | + | 2.18370e6i | −1.32741 | + | 0.177814i | ||||
\(686\) | −5.45891e6 | − | 3.96613e6i | −0.442890 | − | 0.321779i | ||||
\(687\) | 375417. | − | 272756.i | 0.0303474 | − | 0.0220487i | ||||
\(688\) | 1.61928e6 | − | 1.17648e6i | 0.130422 | − | 0.0947574i | ||||
\(689\) | 2.19591e7 | + | 1.59542e7i | 1.76225 | + | 1.28035i | ||||
\(690\) | −4.40375e6 | + | 589907.i | −0.352128 | + | 0.0471695i | ||||
\(691\) | 8.86353e6 | − | 6.43973e6i | 0.706174 | − | 0.513065i | −0.175763 | − | 0.984432i | \(-0.556239\pi\) |
0.881937 | + | 0.471367i | \(0.156239\pi\) | |||||||
\(692\) | −902372. | + | 2.77721e6i | −0.0716342 | + | 0.220467i | ||||
\(693\) | 7.50959e6 | 0.593996 | ||||||||
\(694\) | −4.59085e6 | + | 1.41292e7i | −0.361822 | + | 1.11357i | ||||
\(695\) | 1.44375e6 | + | 3.00934e6i | 0.113378 | + | 0.236324i | ||||
\(696\) | −971123. | − | 2.98881e6i | −0.0759891 | − | 0.233870i | ||||
\(697\) | −3.14234e6 | − | 9.67114e6i | −0.245003 | − | 0.754042i | ||||
\(698\) | 1.17596e7 | + | 8.54385e6i | 0.913595 | + | 0.663766i | ||||
\(699\) | −1.16868e7 | −0.904697 | ||||||||
\(700\) | 4.67505e6 | − | 5.82693e6i | 0.360613 | − | 0.449464i | ||||
\(701\) | −2.21590e6 | −0.170316 | −0.0851580 | − | 0.996367i | \(-0.527139\pi\) | ||||
−0.0851580 | + | 0.996367i | \(0.527139\pi\) | |||||||
\(702\) | −1.66246e6 | − | 1.20785e6i | −0.127323 | − | 0.0925059i | ||||
\(703\) | 3.26465e6 | + | 1.00476e7i | 0.249143 | + | 0.766782i | ||||
\(704\) | −785400. | − | 2.41721e6i | −0.0597254 | − | 0.183816i | ||||
\(705\) | −1.15105e7 | + | 1.54189e6i | −0.872209 | + | 0.116837i | ||||
\(706\) | −2.96857e6 | + | 9.13632e6i | −0.224148 | + | 0.689858i | ||||
\(707\) | −2.44739e7 | −1.84143 | ||||||||
\(708\) | 1.92169e6 | − | 5.91437e6i | 0.144079 | − | 0.443430i | ||||
\(709\) | −415165. | + | 301635.i | −0.0310174 | + | 0.0225354i | −0.603186 | − | 0.797601i | \(-0.706102\pi\) |
0.572169 | + | 0.820136i | \(0.306102\pi\) | |||||||
\(710\) | −4.44355e6 | + | 4.23593e6i | −0.330815 | + | 0.315357i | ||||
\(711\) | 314732. | + | 228666.i | 0.0233489 | + | 0.0169640i | ||||
\(712\) | −3.81659e6 | + | 2.77292e6i | −0.282147 | + | 0.204992i | ||||
\(713\) | 8.05439e6 | − | 5.85186e6i | 0.593347 | − | 0.431092i | ||||
\(714\) | −2.98309e6 | − | 2.16734e6i | −0.218988 | − | 0.159104i | ||||
\(715\) | −2.15085e7 | − | 1.16152e7i | −1.57342 | − | 0.849693i | ||||
\(716\) | −245618. | + | 178452.i | −0.0179051 | + | 0.0130088i | ||||
\(717\) | −3.92110e6 | + | 1.20679e7i | −0.284846 | + | 0.876666i | ||||
\(718\) | 1.44807e6 | 0.104828 | ||||||||
\(719\) | −787280. | + | 2.42300e6i | −0.0567946 | + | 0.174796i | −0.975430 | − | 0.220312i | \(-0.929293\pi\) |
0.918635 | + | 0.395107i | \(0.129293\pi\) | |||||||
\(720\) | 839030. | − | 799826.i | 0.0603179 | − | 0.0574995i | ||||
\(721\) | −1.40003e6 | − | 4.30884e6i | −0.100299 | − | 0.308690i | ||||
\(722\) | 2.43231e6 | + | 7.48589e6i | 0.173651 | + | 0.534442i | ||||
\(723\) | 7.70071e6 | + | 5.59489e6i | 0.547879 | + | 0.398057i | ||||
\(724\) | −3.64377e6 | −0.258348 | ||||||||
\(725\) | 1.06697e7 | − | 1.32986e7i | 0.753889 | − | 0.939640i | ||||
\(726\) | 8.06331e6 | 0.567769 | ||||||||
\(727\) | 4.22473e6 | + | 3.06945e6i | 0.296458 | + | 0.215389i | 0.726064 | − | 0.687627i | \(-0.241348\pi\) |
−0.429606 | + | 0.903016i | \(0.641348\pi\) | |||||||
\(728\) | −2.08234e6 | − | 6.40878e6i | −0.145621 | − | 0.448174i | ||||
\(729\) | 164224. | + | 505430.i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −1.78409e6 | + | 9.74915e6i | −0.123911 | + | 0.677111i | ||||
\(731\) | 1.65627e6 | − | 5.09747e6i | 0.114640 | − | 0.352826i | ||||
\(732\) | −2.49262e6 | −0.171940 | ||||||||
\(733\) | −937428. | + | 2.88511e6i | −0.0644433 | + | 0.198336i | −0.978094 | − | 0.208164i | \(-0.933251\pi\) |
0.913651 | + | 0.406501i | \(0.133251\pi\) | |||||||
\(734\) | 9.00983e6 | − | 6.54603e6i | 0.617272 | − | 0.448474i | ||||
\(735\) | −499623. | + | 2.73020e6i | −0.0341134 | + | 0.186413i | ||||
\(736\) | −1.82901e6 | − | 1.32885e6i | −0.124457 | − | 0.0904236i | ||||
\(737\) | −1.27829e7 | + | 9.28733e6i | −0.866884 | + | 0.629828i | ||||
\(738\) | −3.88822e6 | + | 2.82496e6i | −0.262791 | + | 0.190929i | ||||
\(739\) | −1.49973e7 | − | 1.08961e7i | −1.01018 | − | 0.733942i | −0.0459370 | − | 0.998944i | \(-0.514627\pi\) |
−0.964248 | + | 0.265002i | \(0.914627\pi\) | |||||||
\(740\) | −1.93891e6 | − | 4.04144e6i | −0.130160 | − | 0.271304i | ||||
\(741\) | −1.08165e7 | + | 7.85866e6i | −0.723672 | + | 0.525779i | ||||
\(742\) | 7.11340e6 | − | 2.18928e7i | 0.474315 | − | 1.45979i | ||||
\(743\) | −1.45641e7 | −0.967859 | −0.483929 | − | 0.875107i | \(-0.660791\pi\) | ||||
−0.483929 | + | 0.875107i | \(0.660791\pi\) | |||||||
\(744\) | −802643. | + | 2.47028e6i | −0.0531607 | + | 0.163612i | ||||
\(745\) | 1.13102e7 | + | 6.10785e6i | 0.746587 | + | 0.403179i | ||||
\(746\) | −1.51354e6 | − | 4.65821e6i | −0.0995745 | − | 0.306459i | ||||
\(747\) | −2.68527e6 | − | 8.26440e6i | −0.176070 | − | 0.541888i | ||||
\(748\) | −5.50616e6 | − | 4.00046e6i | −0.359828 | − | 0.261430i | ||||
\(749\) | 1.18208e7 | 0.769911 | ||||||||
\(750\) | 6.12500e6 | + | 1.42657e6i | 0.397606 | + | 0.0926063i | ||||
\(751\) | 2.52686e7 | 1.63486 | 0.817431 | − | 0.576027i | \(-0.195398\pi\) | ||||
0.817431 | + | 0.576027i | \(0.195398\pi\) | |||||||
\(752\) | −4.78063e6 | − | 3.47333e6i | −0.308277 | − | 0.223976i | ||||
\(753\) | −3.50937e6 | − | 1.08007e7i | −0.225549 | − | 0.694170i | ||||
\(754\) | −4.75245e6 | − | 1.46265e7i | −0.304431 | − | 0.936944i | ||||
\(755\) | 1.13714e7 | + | 6.14089e6i | 0.726017 | + | 0.392070i | ||||
\(756\) | −538534. | + | 1.65744e6i | −0.0342696 | + | 0.105471i | ||||
\(757\) | 1.13102e7 | 0.717350 | 0.358675 | − | 0.933463i | \(-0.383229\pi\) | ||||
0.358675 | + | 0.933463i | \(0.383229\pi\) | |||||||
\(758\) | 1.34654e6 | − | 4.14424e6i | 0.0851231 | − | 0.261982i | ||||
\(759\) | 9.97484e6 | − | 7.24715e6i | 0.628495 | − | 0.456628i | ||||
\(760\) | −3.26231e6 | − | 6.79993e6i | −0.204876 | − | 0.427042i | ||||
\(761\) | −3.77534e6 | − | 2.74295e6i | −0.236317 | − | 0.171694i | 0.463324 | − | 0.886189i | \(-0.346657\pi\) |
−0.699641 | + | 0.714495i | \(0.746657\pi\) | |||||||
\(762\) | 4.05211e6 | − | 2.94403e6i | 0.252810 | − | 0.183677i | ||||
\(763\) | −2.33552e7 | + | 1.69685e7i | −1.45235 | + | 1.05520i | ||||
\(764\) | −3.06031e6 | − | 2.22345e6i | −0.189685 | − | 0.137814i | ||||
\(765\) | 558765. | − | 3.05337e6i | 0.0345204 | − | 0.188637i | ||||
\(766\) | 8.92072e6 | − | 6.48128e6i | 0.549323 | − | 0.399107i | ||||
\(767\) | 9.40433e6 | − | 2.89435e7i | 0.577217 | − | 1.77649i | ||||
\(768\) | 589824. | 0.0360844 | ||||||||
\(769\) | 1.33062e6 | − | 4.09524e6i | 0.0811408 | − | 0.249726i | −0.902254 | − | 0.431205i | \(-0.858089\pi\) |
0.983395 | + | 0.181479i | \(0.0580886\pi\) | |||||||
\(770\) | −3.73175e6 | + | 2.03922e7i | −0.226822 | + | 1.23947i | ||||
\(771\) | −1.66626e6 | − | 5.12824e6i | −0.100950 | − | 0.310693i | ||||
\(772\) | 3.00059e6 | + | 9.23486e6i | 0.181202 | + | 0.557683i | ||||
\(773\) | −1.92759e7 | − | 1.40048e7i | −1.16029 | − | 0.842999i | −0.170474 | − | 0.985362i | \(-0.554530\pi\) |
−0.989815 | + | 0.142363i | \(0.954530\pi\) | |||||||
\(774\) | −2.53321e6 | −0.151991 | ||||||||
\(775\) | −1.35950e7 | + | 3.70881e6i | −0.813066 | + | 0.221810i | ||||
\(776\) | 1.29483e6 | 0.0771895 | ||||||||
\(777\) | 5.45200e6 | + | 3.96111e6i | 0.323969 | + | 0.235377i | ||||
\(778\) | −133847. | − | 411940.i | −0.00792795 | − | 0.0243997i | ||||
\(779\) | 9.66300e6 | + | 2.97397e7i | 0.570517 | + | 1.75587i | ||||
\(780\) | 4.10602e6 | − | 3.91416e6i | 0.241649 | − | 0.230358i | ||||
\(781\) | 5.26440e6 | − | 1.62022e7i | 0.308831 | − | 0.950485i | ||||
\(782\) | −6.05397e6 | −0.354016 | ||||||||
\(783\) | −1.22908e6 | + | 3.78271e6i | −0.0716432 | + | 0.220495i | ||||
\(784\) | −1.14255e6 | + | 830114.i | −0.0663875 | + | 0.0482334i | ||||
\(785\) | 7.46952e6 | + | 4.03376e6i | 0.432632 | + | 0.233634i | ||||
\(786\) | 1.77284e6 | + | 1.28804e6i | 0.102356 | + | 0.0743659i | ||||
\(787\) | 1.84161e7 | − | 1.33801e7i | 1.05989 | − | 0.770056i | 0.0858230 | − | 0.996310i | \(-0.472648\pi\) |
0.974068 | + | 0.226254i | \(0.0726480\pi\) | |||||||
\(788\) | 8.84450e6 | − | 6.42590e6i | 0.507408 | − | 0.368654i | ||||
\(789\) | −264850. | − | 192425.i | −0.0151464 | − | 0.0110045i | ||||
\(790\) | −777339. | + | 741017.i | −0.0443142 | + | 0.0422436i | ||||
\(791\) | −2.86847e7 | + | 2.08407e7i | −1.63008 | + | 1.18432i | ||||
\(792\) | −994021. | + | 3.05928e6i | −0.0563096 | + | 0.173303i | ||||
\(793\) | −1.21983e7 | −0.688836 | ||||||||
\(794\) | 2.29508e6 | − | 7.06354e6i | 0.129195 | − | 0.397623i | ||||
\(795\) | 1.92069e7 | − | 2.57287e6i | 1.07780 | − | 0.144378i | ||||
\(796\) | 308244. | + | 948678.i | 0.0172430 | + | 0.0530684i | ||||
\(797\) | −3.14103e6 | − | 9.66709e6i | −0.175156 | − | 0.539076i | 0.824484 | − | 0.565885i | \(-0.191465\pi\) |
−0.999641 | + | 0.0268090i | \(0.991465\pi\) | |||||||
\(798\) | 9.17328e6 | + | 6.66477e6i | 0.509938 | + | 0.370491i | ||||
\(799\) | −1.58238e7 | −0.876887 | ||||||||
\(800\) | 1.75497e6 | + | 2.67583e6i | 0.0969496 | + | 0.147820i | ||||
\(801\) | 5.97068e6 | 0.328808 | ||||||||
\(802\) | 1.01589e7 | + | 7.38090e6i | 0.557715 | + | 0.405204i | ||||
\(803\) | −8.49895e6 | − | 2.61571e7i | −0.465132 | − | 1.43153i | ||||
\(804\) | −1.13310e6 | − | 3.48733e6i | −0.0618199 | − | 0.190262i | ||||
\(805\) | 7.97636e6 | + | 1.66258e7i | 0.433825 | + | 0.904261i | ||||
\(806\) | −3.92795e6 | + | 1.20890e7i | −0.212975 | + | 0.655470i | ||||
\(807\) | −5.39697e6 | −0.291720 | ||||||||
\(808\) | 3.23954e6 | − | 9.97027e6i | 0.174564 | − | 0.537252i | ||||
\(809\) | 1.18559e6 | − | 861381.i | 0.0636888 | − | 0.0462726i | −0.555485 | − | 0.831526i | \(-0.687468\pi\) |
0.619174 | + | 0.785254i | \(0.287468\pi\) | |||||||
\(810\) | −1.45410e6 | + | 194784.i | −0.0778719 | + | 0.0104314i | ||||
\(811\) | −1.65376e7 | − | 1.20153e7i | −0.882919 | − | 0.641478i | 0.0511032 | − | 0.998693i | \(-0.483726\pi\) |
−0.934022 | + | 0.357215i | \(0.883726\pi\) | |||||||
\(812\) | −1.05519e7 | + | 7.66640e6i | −0.561617 | + | 0.408038i | ||||
\(813\) | −4.78989e6 | + | 3.48006e6i | −0.254155 | + | 0.184655i | ||||
\(814\) | 1.00633e7 | + | 7.31139e6i | 0.532326 | + | 0.386758i | ||||
\(815\) | −2.65351e7 | + | 3.55453e6i | −1.39935 | + | 0.187451i | ||||
\(816\) | 1.27780e6 | − | 928376.i | 0.0671796 | − | 0.0488089i | ||||
\(817\) | −5.09318e6 | + | 1.56752e7i | −0.266952 | + | 0.821595i | ||||
\(818\) | 2.57907e7 | 1.34766 | ||||||||
\(819\) | −2.63546e6 | + | 8.11111e6i | −0.137292 | + | 0.422543i | ||||
\(820\) | −5.73895e6 | − | 1.19622e7i | −0.298056 | − | 0.621265i | ||||
\(821\) | 4.90338e6 | + | 1.50911e7i | 0.253885 | + | 0.781379i | 0.994047 | + | 0.108950i | \(0.0347489\pi\) |
−0.740162 | + | 0.672429i | \(0.765251\pi\) | |||||||
\(822\) | 3.27306e6 | + | 1.00734e7i | 0.168956 | + | 0.519994i | ||||
\(823\) | 1.06559e7 | + | 7.74196e6i | 0.548391 | + | 0.398429i | 0.827192 | − | 0.561920i | \(-0.189937\pi\) |
−0.278801 | + | 0.960349i | \(0.589937\pi\) | |||||||
\(824\) | 1.94067e6 | 0.0995710 | ||||||||
\(825\) | −1.68366e7 | + | 4.59312e6i | −0.861228 | + | 0.234949i | ||||
\(826\) | −2.58097e7 | −1.31623 | ||||||||
\(827\) | −2.12321e7 | − | 1.54260e7i | −1.07952 | − | 0.784316i | −0.101919 | − | 0.994793i | \(-0.532498\pi\) |
−0.977599 | + | 0.210477i | \(0.932498\pi\) | |||||||
\(828\) | 884188. | + | 2.72125e6i | 0.0448197 | + | 0.137941i | ||||
\(829\) | −7.38760e6 | − | 2.27367e7i | −0.373351 | − | 1.14905i | −0.944585 | − | 0.328268i | \(-0.893535\pi\) |
0.571234 | − | 0.820787i | \(-0.306465\pi\) | |||||||
\(830\) | 2.37762e7 | − | 3.18496e6i | 1.19798 | − | 0.160475i | ||||
\(831\) | 6.27101e6 | − | 1.93002e7i | 0.315018 | − | 0.969525i | ||||
\(832\) | 2.88646e6 | 0.144563 | ||||||||
\(833\) | −1.16865e6 | + | 3.59673e6i | −0.0583541 | + | 0.179596i | ||||
\(834\) | 1.73895e6 | − | 1.26342e6i | 0.0865710 | − | 0.0628975i | ||||
\(835\) | 1.33425e7 | − | 1.27191e7i | 0.662251 | − | 0.631307i | ||||
\(836\) | 1.69320e7 | + | 1.23018e7i | 0.837899 | + | 0.608769i | ||||
\(837\) | 2.65952e6 | − | 1.93225e6i | 0.131217 | − | 0.0953346i | ||||
\(838\) | 7.66891e6 | − | 5.57179e6i | 0.377245 | − | 0.274085i | ||||
\(839\) | 2.58678e7 | + | 1.87940e7i | 1.26869 | + | 0.921754i | 0.999149 | − | 0.0412368i | \(-0.0131298\pi\) |
0.269536 | + | 0.962990i | \(0.413130\pi\) | |||||||
\(840\) | −4.23313e6 | − | 2.28601e6i | −0.206997 | − | 0.111784i | ||||
\(841\) | −7.48836e6 | + | 5.44061e6i | −0.365087 | + | 0.265251i | ||||
\(842\) | −208315. | + | 641129.i | −0.0101261 | + | 0.0311649i | ||||
\(843\) | −1.03787e7 | −0.503007 | ||||||||
\(844\) | −3.87578e6 | + | 1.19284e7i | −0.187285 | + | 0.576404i | ||||
\(845\) | 5.07047e6 | − | 4.83356e6i | 0.244291 | − | 0.232876i | ||||
\(846\) | 2.31108e6 | + | 7.11278e6i | 0.111017 | + | 0.341675i | ||||
\(847\) | −1.03413e7 | − | 3.18274e7i | −0.495300 | − | 1.52438i | ||||
\(848\) | 7.97718e6 | + | 5.79576e6i | 0.380943 | + | 0.276771i | ||||
\(849\) | 4.09076e6 | 0.194776 | ||||||||
\(850\) | 8.01372e6 | + | 3.03463e6i | 0.380440 | + | 0.144065i | ||||
\(851\) | 1.10645e7 | 0.523729 | ||||||||
\(852\) | 3.19844e6 | + | 2.32380e6i | 0.150952 | + | 0.109673i | ||||
\(853\) | 6.10507e6 | + | 1.87895e7i | 0.287288 | + | 0.884183i | 0.985703 | + | 0.168490i | \(0.0538890\pi\) |
−0.698415 | + | 0.715693i | \(0.746111\pi\) | |||||||
\(854\) | 3.19682e6 | + | 9.83881e6i | 0.149994 | + | 0.461634i | ||||
\(855\) | −1.71825e6 | + | 9.38941e6i | −0.0803845 | + | 0.439261i | ||||
\(856\) | −1.56468e6 | + | 4.81558e6i | −0.0729861 | + | 0.224628i | ||||
\(857\) | 2.56697e7 | 1.19390 | 0.596951 | − | 0.802278i | \(-0.296379\pi\) | ||||
0.596951 | + | 0.802278i | \(0.296379\pi\) | |||||||
\(858\) | −4.86451e6 | + | 1.49714e7i | −0.225591 | + | 0.694297i | ||||
\(859\) | 1.32959e7 | − | 9.66000e6i | 0.614799 | − | 0.446678i | −0.236302 | − | 0.971680i | \(-0.575935\pi\) |
0.851101 | + | 0.525002i | \(0.175935\pi\) | |||||||
\(860\) | 1.25883e6 | − | 6.87888e6i | 0.0580391 | − | 0.317155i | ||||
\(861\) | 1.61373e7 | + | 1.17245e7i | 0.741863 | + | 0.538995i | ||||
\(862\) | 1.25161e7 | − | 9.09350e6i | 0.573723 | − | 0.416834i | ||||
\(863\) | −6.39698e6 | + | 4.64768e6i | −0.292380 | + | 0.212427i | −0.724299 | − | 0.689486i | \(-0.757837\pi\) |
0.431919 | + | 0.901912i | \(0.357837\pi\) | |||||||
\(864\) | −603928. | − | 438779.i | −0.0275233 | − | 0.0199969i | ||||
\(865\) | 4.41313e6 | + | 9.19870e6i | 0.200543 | + | 0.418009i | ||||
\(866\) | 1.64132e7 | − | 1.19249e7i | 0.743703 | − | 0.540332i | ||||
\(867\) | −2.64185e6 | + | 8.13079e6i | −0.119361 | + | 0.367354i | ||||
\(868\) | 1.07801e7 | 0.485648 | ||||||||
\(869\) | 920934. | − | 2.83434e6i | 0.0413694 | − | 0.127322i | ||||
\(870\) | −9.66113e6 | − | 5.21729e6i | −0.432743 | − | 0.233694i | ||||
\(871\) | −5.54513e6 | − | 1.70662e7i | −0.247666 | − | 0.762238i | ||||
\(872\) | −3.82125e6 | − | 1.17606e7i | −0.170182 | − | 0.523767i | ||||
\(873\) | −1.32579e6 | − | 963244.i | −0.0588762 | − | 0.0427760i | ||||
\(874\) | 1.86165e7 | 0.824366 | ||||||||
\(875\) | −2.22448e6 | − | 2.60061e7i | −0.0982219 | − | 1.14830i | ||||
\(876\) | 6.38259e6 | 0.281020 | ||||||||
\(877\) | −1.83277e7 | − | 1.33159e7i | −0.804654 | − | 0.584616i | 0.107621 | − | 0.994192i | \(-0.465677\pi\) |
−0.912276 | + | 0.409576i | \(0.865677\pi\) | |||||||
\(878\) | −401668. | − | 1.23621e6i | −0.0175845 | − | 0.0541196i | ||||
\(879\) | 1.64783e6 | + | 5.07150e6i | 0.0719351 | + | 0.221393i | ||||
\(880\) | −7.81347e6 | − | 4.21950e6i | −0.340124 | − | 0.183677i | ||||
\(881\) | −7.24979e6 | + | 2.23126e7i | −0.314692 | + | 0.968523i | 0.661189 | + | 0.750219i | \(0.270052\pi\) |
−0.975881 | + | 0.218303i | \(0.929948\pi\) | |||||||
\(882\) | 1.78741e6 | 0.0773664 | ||||||||
\(883\) | −8.64690e6 | + | 2.66124e7i | −0.373215 | + | 1.14864i | 0.571460 | + | 0.820630i | \(0.306377\pi\) |
−0.944675 | + | 0.328007i | \(0.893623\pi\) | |||||||
\(884\) | 6.25326e6 | − | 4.54326e6i | 0.269138 | − | 0.195541i | ||||
\(885\) | −9.39822e6 | − | 1.95896e7i | −0.403355 | − | 0.840750i | ||||
\(886\) | −1.97805e7 | − | 1.43714e7i | −0.846551 | − | 0.615055i | ||||
\(887\) | 1.64936e7 | − | 1.19833e7i | 0.703894 | − | 0.511409i | −0.177304 | − | 0.984156i | \(-0.556738\pi\) |
0.881198 | + | 0.472747i | \(0.156738\pi\) | |||||||
\(888\) | −2.33536e6 | + | 1.69674e6i | −0.0993849 | + | 0.0722074i | ||||
\(889\) | −1.68175e7 | − | 1.22186e7i | −0.713686 | − | 0.518523i | ||||
\(890\) | −2.96701e6 | + | 1.62133e7i | −0.125558 | + | 0.686113i | ||||
\(891\) | 3.29364e6 | − | 2.39297e6i | 0.138989 | − | 0.100982i | ||||
\(892\) | −2.93591e6 | + | 9.03582e6i | −0.123547 | + | 0.380238i | ||||
\(893\) | 4.86597e7 | 2.04193 | ||||||||
\(894\) | 2.55800e6 | − | 7.87271e6i | 0.107043 | − | 0.329443i | ||||
\(895\) | −190943. | + | 1.04341e6i | −0.00796794 | + | 0.0435409i | ||||
\(896\) | −756459. | − | 2.32814e6i | −0.0314786 | − | 0.0968812i | ||||
\(897\) | 4.32701e6 | + | 1.33172e7i | 0.179559 | + | 0.552626i | ||||
\(898\) | −1.97733e7 | − | 1.43661e7i | −0.818253 | − | 0.594495i | ||||
\(899\) | 2.46030e7 | 1.01529 | ||||||||
\(900\) | 193652. | − | 4.04537e6i | 0.00796923 | − | 0.166476i | ||||
\(901\) | 2.64043e7 | 1.08358 | ||||||||
\(902\) | 2.97862e7 | + | 2.16409e7i | 1.21898 | + | 0.885644i | ||||
\(903\) | 3.24888e6 | + | 9.99902e6i | 0.132591 | + | 0.408073i | ||||
\(904\) | −4.69324e6 | − | 1.44443e7i | −0.191008 | − | 0.587862i | ||||
\(905\) | −9.21476e6 | + | 8.78420e6i | −0.373992 | + | 0.356517i | ||||
\(906\) | 2.57183e6 | − | 7.91529e6i | 0.104093 | − | 0.320366i | ||||
\(907\) | −2.21412e7 | −0.893680 | −0.446840 | − | 0.894614i | \(-0.647451\pi\) | ||||
−0.446840 | + | 0.894614i | \(0.647451\pi\) | |||||||
\(908\) | −4.25056e6 | + | 1.30819e7i | −0.171093 | + | 0.526569i | ||||
\(909\) | −1.07340e7 | + | 7.79874e6i | −0.430877 | + | 0.313051i | ||||
\(910\) | −2.07159e7 | − | 1.11872e7i | −0.829280 | − | 0.447835i | ||||
\(911\) | 2.28125e7 | + | 1.65743e7i | 0.910705 | + | 0.661666i | 0.941193 | − | 0.337869i | \(-0.109706\pi\) |
−0.0304878 | + | 0.999535i | \(0.509706\pi\) | |||||||
\(912\) | −3.92936e6 | + | 2.85484e6i | −0.156435 | + | 0.113657i | ||||
\(913\) | −5.38550e7 | + | 3.91279e7i | −2.13820 | + | 1.55350i | ||||
\(914\) | 1.36473e7 | + | 9.91537e6i | 0.540359 | + | 0.392594i | ||||
\(915\) | −6.30359e6 | + | 6.00905e6i | −0.248906 | + | 0.237276i | ||||
\(916\) | 667407. | − | 484900.i | 0.0262816 | − | 0.0190947i | ||||
\(917\) | 2.81044e6 | − | 8.64965e6i | 0.110370 | − | 0.339684i | ||||
\(918\) | −1.99899e6 | −0.0782895 | ||||||||
\(919\) | 1.35059e7 | − | 4.15668e7i | 0.527514 | − | 1.62352i | −0.231776 | − | 0.972769i | \(-0.574454\pi\) |
0.759290 | − | 0.650752i | \(-0.225546\pi\) | |||||||
\(920\) | −7.82890e6 | + | 1.04872e6i | −0.304952 | + | 0.0408500i | ||||
\(921\) | −5.13896e6 | − | 1.58161e7i | −0.199630 | − | 0.614398i | ||||
\(922\) | 181894. | + | 559813.i | 0.00704679 | + | 0.0216878i | ||||
\(923\) | 1.56524e7 | + | 1.13722e7i | 0.604752 | + | 0.439378i | ||||
\(924\) | 1.33504e7 | 0.514415 | ||||||||
\(925\) | −1.46462e7 | − | 5.54621e6i | −0.562820 | − | 0.213129i | ||||
\(926\) | 1.53517e7 | 0.588341 | ||||||||
\(927\) | −1.98707e6 | − | 1.44369e6i | −0.0759476 | − | 0.0551792i | ||||
\(928\) | −1.72644e6 | − | 5.31344e6i | −0.0658085 | − | 0.202538i | ||||
\(929\) | −1.00163e6 | − | 3.08271e6i | −0.0380776 | − | 0.117191i | 0.930211 | − | 0.367025i | \(-0.119624\pi\) |
−0.968289 | + | 0.249835i | \(0.919624\pi\) | |||||||
\(930\) | 3.92540e6 | + | 8.18207e6i | 0.148825 | + | 0.310210i | ||||
\(931\) | 3.59371e6 | − | 1.10603e7i | 0.135884 | − | 0.418208i | ||||
\(932\) | −2.07766e7 | −0.783491 | ||||||||
\(933\) | −2.50295e6 | + | 7.70327e6i | −0.0941342 | + | 0.289715i | ||||
\(934\) | 2.04675e7 | − | 1.48705e7i | 0.767711 | − | 0.557775i | ||||
\(935\) | −2.35686e7 | + | 3.15715e6i | −0.881668 | + | 0.118104i | ||||
\(936\) | −2.95548e6 | − | 2.14728e6i | −0.110265 | − | 0.0801125i | ||||
\(937\) | −1.12420e7 | + | 8.16776e6i | −0.418305 | + | 0.303916i | −0.776955 | − | 0.629556i | \(-0.783237\pi\) |
0.358651 | + | 0.933472i | \(0.383237\pi\) | |||||||
\(938\) | −1.23119e7 | + | 8.94511e6i | −0.456896 | + | 0.331954i | ||||
\(939\) | 4.91944e6 | + | 3.57418e6i | 0.182076 | + | 0.132286i | ||||
\(940\) | −2.04631e7 | + | 2.74114e6i | −0.755355 | + | 0.101184i | ||||
\(941\) | −65898.7 | + | 47878.2i | −0.00242607 | + | 0.00176264i | −0.588998 | − | 0.808135i | \(-0.700477\pi\) |
0.586572 | + | 0.809897i | \(0.300477\pi\) | |||||||
\(942\) | 1.68936e6 | − | 5.19931e6i | 0.0620290 | − | 0.190906i | ||||
\(943\) | 3.27496e7 | 1.19930 | ||||||||
\(944\) | 3.41634e6 | − | 1.05144e7i | 0.124776 | − | 0.384022i | ||||
\(945\) | 2.63375e6 | + | 5.48976e6i | 0.0959390 | + | 0.199974i | ||||
\(946\) | 5.99675e6 | + | 1.84561e7i | 0.217865 | + | 0.670521i | ||||
\(947\) | −816730. | − | 2.51364e6i | −0.0295940 | − | 0.0910809i | 0.935169 | − | 0.354203i | \(-0.115248\pi\) |
−0.964763 | + | 0.263122i | \(0.915248\pi\) | |||||||
\(948\) | 559523. | + | 406517.i | 0.0202207 | + | 0.0146912i | ||||
\(949\) | 3.12349e7 | 1.12584 | ||||||||
\(950\) | −2.46429e7 | − | 9.33178e6i | −0.885897 | − | 0.335471i | ||||
\(951\) | −5.14573e6 | −0.184500 | ||||||||
\(952\) | −5.30327e6 | − | 3.85305e6i | −0.189649 | − | 0.137788i | ||||
\(953\) | 710439. | + | 2.18651e6i | 0.0253393 | + | 0.0779863i | 0.962926 | − | 0.269764i | \(-0.0869457\pi\) |
−0.937587 | + | 0.347750i | \(0.886946\pi\) | |||||||
\(954\) | −3.85637e6 | − | 1.18687e7i | −0.137185 | − | 0.422213i | ||||
\(955\) | −1.30994e7 | + | 1.75474e6i | −0.464775 | + | 0.0622592i | ||||
\(956\) | −6.97085e6 | + | 2.14541e7i | −0.246684 | + | 0.759215i | ||||
\(957\) | 3.04692e7 | 1.07543 | ||||||||
\(958\) | −6.31818e6 | + | 1.94454e7i | −0.222422 | + | 0.684545i | ||||
\(959\) | 3.55639e7 | − | 2.58387e7i | 1.24871 | − | 0.907244i | ||||
\(960\) | 1.49161e6 | − | 1.42191e6i | 0.0522368 | − | 0.0497961i | ||||
\(961\) | 6.71043e6 | + | 4.87542e6i | 0.234392 | + | 0.170295i | ||||
\(962\) | −1.14287e7 | + | 8.30343e6i | −0.398161 | + | 0.289281i | ||||
\(963\) | 5.18448e6 | − | 3.76674e6i | 0.180152 | − | 0.130888i | ||||
\(964\) | 1.36901e7 | + | 9.94647e6i | 0.474477 | + | 0.344728i | ||||
\(965\) | 2.98511e7 | + | 1.61204e7i | 1.03191 | + | 0.557261i | ||||
\(966\) | 9.60728e6 | − | 6.98010e6i | 0.331251 | − | 0.240668i | ||||
\(967\) | 1.24230e7 | − | 3.82341e7i | 0.427229 | − | 1.31488i | −0.473615 | − | 0.880732i | \(-0.657051\pi\) |
0.900844 | − | 0.434144i | \(-0.142949\pi\) | |||||||
\(968\) | 1.43348e7 | 0.491703 | ||||||||
\(969\) | −4.01910e6 | + | 1.23695e7i | −0.137505 | + | 0.423198i | ||||
\(970\) | 3.27450e6 | − | 3.12150e6i | 0.111742 | − | 0.106521i | ||||
\(971\) | −1.46517e7 | − | 4.50933e7i | −0.498701 | − | 1.53484i | −0.811109 | − | 0.584895i | \(-0.801136\pi\) |
0.312409 | − | 0.949948i | \(-0.398864\pi\) | |||||||
\(972\) | 291954. | + | 898543.i | 0.00991172 | + | 0.0305052i | ||||
\(973\) | −7.21719e6 | − | 5.24360e6i | −0.244392 | − | 0.177561i | ||||
\(974\) | −1.98680e7 | −0.671052 | ||||||||
\(975\) | 947690. | − | 1.97971e7i | 0.0319267 | − | 0.666945i | ||||
\(976\) | −4.43132e6 | −0.148905 | ||||||||
\(977\) | −1.15706e7 | − | 8.40651e6i | −0.387809 | − | 0.281760i | 0.376748 | − | 0.926316i | \(-0.377042\pi\) |
−0.764557 | + | 0.644556i | \(0.777042\pi\) | |||||||
\(978\) | 5.32774e6 | + | 1.63971e7i | 0.178113 | + | 0.548176i | ||||
\(979\) | −1.41341e7 | − | 4.35004e7i | −0.471316 | − | 1.45056i | ||||
\(980\) | −888219. | + | 4.85368e6i | −0.0295430 | + | 0.161438i | ||||
\(981\) | −4.83627e6 | + | 1.48845e7i | −0.160449 | + | 0.493812i | ||||
\(982\) | 2.40084e7 | 0.794482 | ||||||||
\(983\) | 1.90126e6 | − | 5.85149e6i | 0.0627565 | − | 0.193145i | −0.914762 | − | 0.403992i | \(-0.867622\pi\) |
0.977519 | + | 0.210847i | \(0.0676223\pi\) | |||||||
\(984\) | −6.91239e6 | + | 5.02215e6i | −0.227584 | + | 0.165349i | ||||
\(985\) | 6.87570e6 | − | 3.75723e7i | 0.225801 | − | 1.23389i | ||||
\(986\) | −1.21035e7 | − | 8.79369e6i | −0.396477 | − | 0.288057i | ||||
\(987\) | 2.51114e7 | − | 1.82445e7i | 0.820499 | − | 0.596127i | ||||
\(988\) | −1.92294e7 | + | 1.39709e7i | −0.626718 | + | 0.455338i | ||||
\(989\) | 1.39650e7 | + | 1.01462e7i | 0.453994 | + | 0.329846i | ||||
\(990\) | 4.86136e6 | + | 1.01330e7i | 0.157641 | + | 0.328586i | ||||
\(991\) | −4.23362e6 | + | 3.07591e6i | −0.136939 | + | 0.0994922i | −0.654146 | − | 0.756368i | \(-0.726972\pi\) |
0.517207 | + | 0.855860i | \(0.326972\pi\) | |||||||
\(992\) | −1.42692e6 | + | 4.39161e6i | −0.0460385 | + | 0.141692i | ||||
\(993\) | 4.22975e6 | 0.136126 | ||||||||
\(994\) | 5.07041e6 | − | 1.56051e7i | 0.162771 | − | 0.500958i | ||||
\(995\) | 3.06654e6 | + | 1.65602e6i | 0.0981953 | + | 0.0530283i | ||||
\(996\) | −4.77381e6 | − | 1.46923e7i | −0.152481 | − | 0.469289i | ||||
\(997\) | 3.75110e6 | + | 1.15447e7i | 0.119515 | + | 0.367828i | 0.992862 | − | 0.119270i | \(-0.0380554\pi\) |
−0.873347 | + | 0.487098i | \(0.838055\pi\) | |||||||
\(998\) | −1.43606e7 | − | 1.04336e7i | −0.456402 | − | 0.331596i | ||||
\(999\) | 3.65343e6 | 0.115821 |
(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 | 150.6.g.b.91.5 | yes | 24 | |
25.11 | even | 5 | inner | 150.6.g.b.61.5 | ✓ | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
150.6.g.b.61.5 | ✓ | 24 | 25.11 | even | 5 | inner | |
150.6.g.b.91.5 | yes | 24 | 1.1 | even | 1 | trivial |