Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,6,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), 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: | \(6.09458515289\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 23.5 | ||
Character | \(\chi\) | \(=\) | 38.23 |
Dual form | 38.6.e.b.5.5 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.75877 | − | 1.36808i | −0.664463 | − | 0.241845i | ||||
\(3\) | 4.41021 | + | 25.0115i | 0.282915 | + | 1.60449i | 0.712640 | + | 0.701530i | \(0.247499\pi\) |
−0.429725 | + | 0.902960i | \(0.641389\pi\) | |||||||
\(4\) | 12.2567 | + | 10.2846i | 0.383022 | + | 0.321394i | ||||
\(5\) | −71.5678 | + | 60.0525i | −1.28024 | + | 1.07425i | −0.287033 | + | 0.957921i | \(0.592669\pi\) |
−0.993210 | + | 0.116331i | \(0.962887\pi\) | |||||||
\(6\) | 17.6408 | − | 100.046i | 0.200051 | − | 1.13455i | ||||
\(7\) | 91.0882 | − | 157.769i | 0.702615 | − | 1.21696i | −0.264931 | − | 0.964267i | \(-0.585349\pi\) |
0.967545 | − | 0.252697i | \(-0.0813176\pi\) | |||||||
\(8\) | −32.0000 | − | 55.4256i | −0.176777 | − | 0.306186i | ||||
\(9\) | −377.781 | + | 137.501i | −1.55466 | + | 0.565848i | ||||
\(10\) | 351.164 | − | 127.813i | 1.11048 | − | 0.404180i | ||||
\(11\) | −198.935 | − | 344.565i | −0.495711 | − | 0.858597i | 0.504277 | − | 0.863542i | \(-0.331759\pi\) |
−0.999988 | + | 0.00494549i | \(0.998426\pi\) | |||||||
\(12\) | −203.179 | + | 351.916i | −0.407311 | + | 0.705482i | ||||
\(13\) | −119.944 | + | 680.234i | −0.196842 | + | 1.11635i | 0.712928 | + | 0.701237i | \(0.247368\pi\) |
−0.909771 | + | 0.415111i | \(0.863743\pi\) | |||||||
\(14\) | −558.221 | + | 468.403i | −0.761178 | + | 0.638704i | ||||
\(15\) | −1817.63 | − | 1525.18i | −2.08583 | − | 1.75022i | ||||
\(16\) | 44.4539 | + | 252.111i | 0.0434120 | + | 0.246202i | ||||
\(17\) | −1158.23 | − | 421.562i | −0.972015 | − | 0.353785i | −0.193284 | − | 0.981143i | \(-0.561914\pi\) |
−0.778731 | + | 0.627358i | \(0.784136\pi\) | |||||||
\(18\) | 1608.11 | 1.16986 | ||||||||
\(19\) | 785.549 | + | 1363.46i | 0.499217 | + | 0.866477i | ||||
\(20\) | −1494.80 | −0.835620 | ||||||||
\(21\) | 4347.77 | + | 1582.46i | 2.15139 | + | 0.783041i | ||||
\(22\) | 276.357 | + | 1567.30i | 0.121735 | + | 0.690391i | ||||
\(23\) | 216.010 | + | 181.254i | 0.0851441 | + | 0.0714444i | 0.684366 | − | 0.729138i | \(-0.260079\pi\) |
−0.599222 | + | 0.800583i | \(0.704523\pi\) | |||||||
\(24\) | 1245.15 | − | 1044.81i | 0.441260 | − | 0.370261i | ||||
\(25\) | 972.994 | − | 5518.13i | 0.311358 | − | 1.76580i | ||||
\(26\) | 1381.45 | − | 2392.75i | 0.400777 | − | 0.694167i | ||||
\(27\) | −2019.43 | − | 3497.75i | −0.533112 | − | 0.923377i | ||||
\(28\) | 2739.04 | − | 996.928i | 0.660242 | − | 0.240308i | ||||
\(29\) | −4078.07 | + | 1484.30i | −0.900451 | + | 0.327737i | −0.750433 | − | 0.660946i | \(-0.770155\pi\) |
−0.150017 | + | 0.988683i | \(0.547933\pi\) | |||||||
\(30\) | 4745.50 | + | 8219.45i | 0.962674 | + | 1.66740i | ||||
\(31\) | −1343.51 | + | 2327.02i | −0.251093 | + | 0.434906i | −0.963827 | − | 0.266528i | \(-0.914123\pi\) |
0.712734 | + | 0.701435i | \(0.247457\pi\) | |||||||
\(32\) | 177.816 | − | 1008.44i | 0.0306970 | − | 0.174091i | ||||
\(33\) | 7740.75 | − | 6495.26i | 1.23737 | − | 1.03827i | ||||
\(34\) | 3776.80 | + | 3169.11i | 0.560307 | + | 0.470154i | ||||
\(35\) | 2955.47 | + | 16761.3i | 0.407808 | + | 2.31280i | ||||
\(36\) | −6044.50 | − | 2200.02i | −0.777328 | − | 0.282924i | ||||
\(37\) | −3855.72 | −0.463021 | −0.231511 | − | 0.972832i | \(-0.574367\pi\) | ||||
−0.231511 | + | 0.972832i | \(0.574367\pi\) | |||||||
\(38\) | −1087.38 | − | 6199.61i | −0.122158 | − | 0.696475i | ||||
\(39\) | −17542.7 | −1.84686 | ||||||||
\(40\) | 5618.62 | + | 2045.01i | 0.555238 | + | 0.202090i | ||||
\(41\) | 3396.47 | + | 19262.3i | 0.315550 | + | 1.78957i | 0.569118 | + | 0.822256i | \(0.307285\pi\) |
−0.253568 | + | 0.967318i | \(0.581604\pi\) | |||||||
\(42\) | −14177.3 | − | 11896.2i | −1.24014 | − | 1.04060i | ||||
\(43\) | −284.262 | + | 238.524i | −0.0234449 | + | 0.0196726i | −0.654435 | − | 0.756118i | \(-0.727093\pi\) |
0.630990 | + | 0.775791i | \(0.282649\pi\) | |||||||
\(44\) | 1105.43 | − | 6269.19i | 0.0860793 | − | 0.488180i | ||||
\(45\) | 18779.7 | − | 32527.4i | 1.38247 | − | 2.39451i | ||||
\(46\) | −563.962 | − | 976.811i | −0.0392966 | − | 0.0680638i | ||||
\(47\) | −12719.0 | + | 4629.35i | −0.839865 | + | 0.305686i | −0.725901 | − | 0.687799i | \(-0.758577\pi\) |
−0.113964 | + | 0.993485i | \(0.536355\pi\) | |||||||
\(48\) | −6109.62 | + | 2223.72i | −0.382747 | + | 0.139308i | ||||
\(49\) | −8190.64 | − | 14186.6i | −0.487335 | − | 0.844089i | ||||
\(50\) | −11206.5 | + | 19410.2i | −0.633936 | + | 1.09801i | ||||
\(51\) | 5435.86 | − | 30828.3i | 0.292646 | − | 1.65968i | ||||
\(52\) | −8466.04 | + | 7103.85i | −0.434182 | + | 0.364322i | ||||
\(53\) | 4309.46 | + | 3616.06i | 0.210733 | + | 0.176826i | 0.742045 | − | 0.670350i | \(-0.233856\pi\) |
−0.531312 | + | 0.847176i | \(0.678301\pi\) | |||||||
\(54\) | 2805.36 | + | 15910.0i | 0.130919 | + | 0.742480i | ||||
\(55\) | 34929.3 | + | 12713.2i | 1.55698 | + | 0.566694i | ||||
\(56\) | −11659.3 | −0.496824 | ||||||||
\(57\) | −30637.7 | + | 25660.9i | −1.24902 | + | 1.04613i | ||||
\(58\) | 17359.2 | 0.677578 | ||||||||
\(59\) | 28278.6 | + | 10292.6i | 1.05762 | + | 0.384941i | 0.811533 | − | 0.584307i | \(-0.198634\pi\) |
0.246085 | + | 0.969248i | \(0.420856\pi\) | |||||||
\(60\) | −6592.39 | − | 37387.3i | −0.236409 | − | 1.34074i | ||||
\(61\) | 1693.96 | + | 1421.40i | 0.0582878 | + | 0.0489092i | 0.671466 | − | 0.741035i | \(-0.265665\pi\) |
−0.613178 | + | 0.789944i | \(0.710109\pi\) | |||||||
\(62\) | 8233.48 | − | 6908.71i | 0.272022 | − | 0.228254i | ||||
\(63\) | −12717.9 | + | 72127.1i | −0.403706 | + | 2.28953i | ||||
\(64\) | −2048.00 | + | 3547.24i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −32265.6 | − | 55885.7i | −0.947233 | − | 1.64066i | ||||
\(66\) | −37981.7 | + | 13824.2i | −1.07328 | + | 0.390644i | ||||
\(67\) | −249.987 | + | 90.9880i | −0.00680348 | + | 0.00247626i | −0.345420 | − | 0.938448i | \(-0.612263\pi\) |
0.338616 | + | 0.940925i | \(0.390041\pi\) | |||||||
\(68\) | −9860.51 | − | 17078.9i | −0.258599 | − | 0.447907i | ||||
\(69\) | −3580.79 | + | 6202.11i | −0.0905433 | + | 0.156826i | ||||
\(70\) | 11821.9 | − | 67045.2i | 0.288364 | − | 1.63539i | ||||
\(71\) | 17075.9 | − | 14328.4i | 0.402011 | − | 0.337327i | −0.419260 | − | 0.907866i | \(-0.637710\pi\) |
0.821270 | + | 0.570539i | \(0.193266\pi\) | |||||||
\(72\) | 19710.1 | + | 16538.7i | 0.448082 | + | 0.375985i | ||||
\(73\) | 9670.88 | + | 54846.3i | 0.212402 | + | 1.20459i | 0.885358 | + | 0.464909i | \(0.153913\pi\) |
−0.672956 | + | 0.739682i | \(0.734976\pi\) | |||||||
\(74\) | 14492.8 | + | 5274.93i | 0.307661 | + | 0.111979i | ||||
\(75\) | 142308. | 2.92130 | ||||||||
\(76\) | −4394.35 | + | 24790.5i | −0.0872692 | + | 0.492325i | ||||
\(77\) | −72482.4 | −1.39318 | ||||||||
\(78\) | 65938.8 | + | 23999.8i | 1.22717 | + | 0.446653i | ||||
\(79\) | −9821.32 | − | 55699.5i | −0.177052 | − | 1.00411i | −0.935748 | − | 0.352669i | \(-0.885274\pi\) |
0.758696 | − | 0.651445i | \(-0.225837\pi\) | |||||||
\(80\) | −18321.4 | − | 15373.4i | −0.320061 | − | 0.268563i | ||||
\(81\) | 3741.21 | − | 3139.25i | 0.0633577 | − | 0.0531634i | ||||
\(82\) | 13585.9 | − | 77049.4i | 0.223128 | − | 1.26542i | ||||
\(83\) | −42577.7 | + | 73746.7i | −0.678401 | + | 1.17503i | 0.297061 | + | 0.954859i | \(0.403994\pi\) |
−0.975462 | + | 0.220167i | \(0.929340\pi\) | |||||||
\(84\) | 37014.4 | + | 64110.9i | 0.572365 | + | 0.991365i | ||||
\(85\) | 108208. | − | 39384.5i | 1.62447 | − | 0.591259i | ||||
\(86\) | 1394.80 | − | 507.664i | 0.0203360 | − | 0.00740168i | ||||
\(87\) | −55109.7 | − | 95452.8i | −0.780602 | − | 1.35204i | ||||
\(88\) | −12731.8 | + | 22052.1i | −0.175260 | + | 0.303560i | ||||
\(89\) | 3768.14 | − | 21370.2i | 0.0504257 | − | 0.285978i | −0.949159 | − | 0.314797i | \(-0.898064\pi\) |
0.999585 | + | 0.0288189i | \(0.00917462\pi\) | |||||||
\(90\) | −115089. | + | 96570.8i | −1.49770 | + | 1.25672i | ||||
\(91\) | 96394.6 | + | 80884.7i | 1.22025 | + | 1.02391i | ||||
\(92\) | 783.448 | + | 4443.16i | 0.00965030 | + | 0.0547296i | ||||
\(93\) | −64127.4 | − | 23340.5i | −0.768841 | − | 0.279835i | ||||
\(94\) | 54141.2 | 0.631988 | ||||||||
\(95\) | −138099. | − | 50405.3i | −1.56993 | − | 0.573017i | ||||
\(96\) | 26006.9 | 0.288012 | ||||||||
\(97\) | −104831. | − | 38155.4i | −1.13125 | − | 0.411743i | −0.292507 | − | 0.956263i | \(-0.594490\pi\) |
−0.838748 | + | 0.544520i | \(0.816712\pi\) | |||||||
\(98\) | 11378.3 | + | 64529.6i | 0.119678 | + | 0.678725i | ||||
\(99\) | 122532. | + | 102816.i | 1.25650 | + | 1.05432i | ||||
\(100\) | 68677.4 | − | 57627.2i | 0.686774 | − | 0.576272i | ||||
\(101\) | 26663.9 | − | 151218.i | 0.260088 | − | 1.47503i | −0.522579 | − | 0.852591i | \(-0.675030\pi\) |
0.782667 | − | 0.622441i | \(-0.213859\pi\) | |||||||
\(102\) | −62607.8 | + | 108440.i | −0.595837 | + | 1.03202i | ||||
\(103\) | 9004.54 | + | 15596.3i | 0.0836312 | + | 0.144854i | 0.904807 | − | 0.425822i | \(-0.140015\pi\) |
−0.821176 | + | 0.570675i | \(0.806682\pi\) | |||||||
\(104\) | 41540.6 | − | 15119.5i | 0.376608 | − | 0.137074i | ||||
\(105\) | −406191. | + | 147842.i | −3.59548 | + | 1.30865i | ||||
\(106\) | −11251.2 | − | 19487.6i | −0.0972599 | − | 0.168459i | ||||
\(107\) | −19122.0 | + | 33120.2i | −0.161463 | + | 0.279662i | −0.935394 | − | 0.353608i | \(-0.884955\pi\) |
0.773931 | + | 0.633270i | \(0.218288\pi\) | |||||||
\(108\) | 11221.4 | − | 63639.9i | 0.0925739 | − | 0.525013i | ||||
\(109\) | 116484. | − | 97741.7i | 0.939074 | − | 0.787977i | −0.0383498 | − | 0.999264i | \(-0.512210\pi\) |
0.977424 | + | 0.211288i | \(0.0677657\pi\) | |||||||
\(110\) | −113898. | − | 95572.1i | −0.897503 | − | 0.753095i | ||||
\(111\) | −17004.5 | − | 96437.4i | −0.130996 | − | 0.742913i | ||||
\(112\) | 43824.6 | + | 15950.9i | 0.330121 | + | 0.120154i | ||||
\(113\) | 235307. | 1.73356 | 0.866782 | − | 0.498688i | \(-0.166185\pi\) | ||||
0.866782 | + | 0.498688i | \(0.166185\pi\) | |||||||
\(114\) | 150266. | − | 54538.6i | 1.08293 | − | 0.393045i | ||||
\(115\) | −26344.1 | −0.185754 | ||||||||
\(116\) | −65249.2 | − | 23748.8i | −0.450225 | − | 0.163869i | ||||
\(117\) | −48220.5 | − | 273472.i | −0.325662 | − | 1.84692i | ||||
\(118\) | −92211.8 | − | 77374.9i | −0.609651 | − | 0.511558i | ||||
\(119\) | −172011. | + | 144334.i | −1.11350 | + | 0.934333i | ||||
\(120\) | −26369.5 | + | 149549.i | −0.167167 | + | 0.948049i | ||||
\(121\) | 1375.58 | − | 2382.58i | 0.00854127 | − | 0.0147939i | ||||
\(122\) | −4422.60 | − | 7660.17i | −0.0269016 | − | 0.0465950i | ||||
\(123\) | −466802. | + | 169902.i | −2.78208 | + | 1.01259i | ||||
\(124\) | −40399.4 | + | 14704.2i | −0.235950 | + | 0.0858790i | ||||
\(125\) | 115765. | + | 200512.i | 0.662680 | + | 1.14780i | ||||
\(126\) | 146480. | − | 253710.i | 0.821960 | − | 1.42368i | ||||
\(127\) | −18207.2 | + | 103258.i | −0.100169 | + | 0.568088i | 0.892871 | + | 0.450313i | \(0.148687\pi\) |
−0.993040 | + | 0.117776i | \(0.962424\pi\) | |||||||
\(128\) | 12550.9 | − | 10531.4i | 0.0677094 | − | 0.0568149i | ||||
\(129\) | −7219.51 | − | 6057.89i | −0.0381974 | − | 0.0320514i | ||||
\(130\) | 44823.0 | + | 254204.i | 0.232617 | + | 1.31924i | ||||
\(131\) | 255660. | + | 93052.8i | 1.30162 | + | 0.473752i | 0.897525 | − | 0.440964i | \(-0.145363\pi\) |
0.404098 | + | 0.914716i | \(0.367585\pi\) | |||||||
\(132\) | 161677. | 0.807633 | ||||||||
\(133\) | 286666. | + | 259.134i | 1.40523 | + | 0.00127027i | ||||
\(134\) | 1064.12 | 0.00511953 | ||||||||
\(135\) | 354574. | + | 129055.i | 1.67445 | + | 0.609451i | ||||
\(136\) | 13698.1 | + | 77685.7i | 0.0635057 | + | 0.360158i | ||||
\(137\) | 63506.5 | + | 53288.3i | 0.289079 | + | 0.242566i | 0.775781 | − | 0.631002i | \(-0.217356\pi\) |
−0.486702 | + | 0.873568i | \(0.661800\pi\) | |||||||
\(138\) | 21944.4 | − | 18413.5i | 0.0980901 | − | 0.0823073i | ||||
\(139\) | −15639.2 | + | 88694.2i | −0.0686557 | + | 0.389366i | 0.931045 | + | 0.364904i | \(0.118898\pi\) |
−0.999701 | + | 0.0244617i | \(0.992213\pi\) | |||||||
\(140\) | −136159. | + | 235834.i | −0.587119 | + | 1.01692i | ||||
\(141\) | −171881. | − | 297706.i | −0.728080 | − | 1.26107i | ||||
\(142\) | −83786.7 | + | 30495.9i | −0.348702 | + | 0.126917i | ||||
\(143\) | 258245. | − | 93993.7i | 1.05607 | − | 0.384378i | ||||
\(144\) | −51459.4 | − | 89130.3i | −0.206804 | − | 0.358195i | ||||
\(145\) | 202723. | − | 351126.i | 0.800724 | − | 1.38689i | ||||
\(146\) | 38683.5 | − | 219385.i | 0.150191 | − | 0.851775i | ||||
\(147\) | 318706. | − | 267426.i | 1.21646 | − | 1.02073i | ||||
\(148\) | −47258.4 | − | 39654.5i | −0.177347 | − | 0.148812i | ||||
\(149\) | 13171.4 | + | 74698.5i | 0.0486032 | + | 0.275642i | 0.999418 | − | 0.0341181i | \(-0.0108622\pi\) |
−0.950815 | + | 0.309761i | \(0.899751\pi\) | |||||||
\(150\) | −534903. | − | 194689.i | −1.94109 | − | 0.706500i | ||||
\(151\) | −321781. | −1.14847 | −0.574233 | − | 0.818692i | \(-0.694700\pi\) | ||||
−0.574233 | + | 0.818692i | \(0.694700\pi\) | |||||||
\(152\) | 50432.8 | − | 87170.1i | 0.177053 | − | 0.306026i | ||||
\(153\) | 495523. | 1.71134 | ||||||||
\(154\) | 272445. | + | 99161.8i | 0.925713 | + | 0.336932i | ||||
\(155\) | −43591.6 | − | 247220.i | −0.145738 | − | 0.826523i | ||||
\(156\) | −215015. | − | 180419.i | −0.707388 | − | 0.593569i | ||||
\(157\) | −127737. | + | 107184.i | −0.413586 | + | 0.347040i | −0.825717 | − | 0.564085i | \(-0.809229\pi\) |
0.412131 | + | 0.911125i | \(0.364785\pi\) | |||||||
\(158\) | −39285.3 | + | 222798.i | −0.125195 | + | 0.710016i | ||||
\(159\) | −71437.7 | + | 123734.i | −0.224096 | + | 0.388146i | ||||
\(160\) | 47833.7 | + | 82850.3i | 0.147718 | + | 0.255855i | ||||
\(161\) | 48272.3 | − | 17569.7i | 0.146769 | − | 0.0534194i | ||||
\(162\) | −18357.1 | + | 6681.44i | −0.0549562 | + | 0.0200024i | ||||
\(163\) | 305358. | + | 528896.i | 0.900203 | + | 1.55920i | 0.827231 | + | 0.561863i | \(0.189915\pi\) |
0.0729720 | + | 0.997334i | \(0.476752\pi\) | |||||||
\(164\) | −156476. | + | 271024.i | −0.454295 | + | 0.786862i | ||||
\(165\) | −163932. | + | 929703.i | −0.468763 | + | 2.65848i | ||||
\(166\) | 260931. | − | 218947.i | 0.734946 | − | 0.616693i | ||||
\(167\) | −23512.5 | − | 19729.3i | −0.0652390 | − | 0.0547420i | 0.609585 | − | 0.792721i | \(-0.291336\pi\) |
−0.674824 | + | 0.737979i | \(0.735781\pi\) | |||||||
\(168\) | −51419.9 | − | 291617.i | −0.140559 | − | 0.797149i | ||||
\(169\) | −99430.0 | − | 36189.5i | −0.267794 | − | 0.0974690i | ||||
\(170\) | −460610. | −1.22239 | ||||||||
\(171\) | −484242. | − | 407074.i | −1.26640 | − | 1.06459i | ||||
\(172\) | −5937.25 | −0.0153026 | ||||||||
\(173\) | 9027.06 | + | 3285.58i | 0.0229314 | + | 0.00834635i | 0.353460 | − | 0.935449i | \(-0.385005\pi\) |
−0.330529 | + | 0.943796i | \(0.607227\pi\) | |||||||
\(174\) | 76557.6 | + | 434180.i | 0.191697 | + | 1.08717i | ||||
\(175\) | −781963. | − | 656145.i | −1.93015 | − | 1.61959i | ||||
\(176\) | 78025.1 | − | 65470.8i | 0.189868 | − | 0.159318i | ||||
\(177\) | −132719. | + | 752684.i | −0.318419 | + | 1.80584i | ||||
\(178\) | −43399.7 | + | 75170.4i | −0.102668 | + | 0.177827i | ||||
\(179\) | −260394. | − | 451016.i | −0.607433 | − | 1.05211i | −0.991662 | − | 0.128867i | \(-0.958866\pi\) |
0.384229 | − | 0.923238i | \(-0.374467\pi\) | |||||||
\(180\) | 564708. | − | 205537.i | 1.29910 | − | 0.472834i | ||||
\(181\) | −243019. | + | 88451.8i | −0.551371 | + | 0.200683i | −0.602656 | − | 0.798001i | \(-0.705891\pi\) |
0.0512843 | + | 0.998684i | \(0.483669\pi\) | |||||||
\(182\) | −251669. | − | 435903.i | −0.563184 | − | 0.975464i | ||||
\(183\) | −28080.6 | + | 48637.1i | −0.0619839 | + | 0.107359i | ||||
\(184\) | 3133.79 | − | 17772.6i | 0.00682379 | − | 0.0386996i | ||||
\(185\) | 275945. | − | 231546.i | 0.592780 | − | 0.497401i | ||||
\(186\) | 209109. | + | 175463.i | 0.443190 | + | 0.371880i | ||||
\(187\) | 85156.9 | + | 482949.i | 0.178080 | + | 1.00994i | ||||
\(188\) | −203504. | − | 74069.6i | −0.419932 | − | 0.152843i | ||||
\(189\) | −735784. | −1.49829 | ||||||||
\(190\) | 450124. | + | 378393.i | 0.904582 | + | 0.760429i | ||||
\(191\) | 423915. | 0.840805 | 0.420402 | − | 0.907338i | \(-0.361889\pi\) | ||||
0.420402 | + | 0.907338i | \(0.361889\pi\) | |||||||
\(192\) | −97754.0 | − | 35579.5i | −0.191373 | − | 0.0696542i | ||||
\(193\) | −88691.6 | − | 502995.i | −0.171391 | − | 0.972009i | −0.942227 | − | 0.334975i | \(-0.891272\pi\) |
0.770836 | − | 0.637034i | \(-0.219839\pi\) | |||||||
\(194\) | 341836. | + | 286835.i | 0.652099 | + | 0.547176i | ||||
\(195\) | 1.25549e6 | − | 1.05348e6i | 2.36443 | − | 1.98399i | ||||
\(196\) | 45513.3 | − | 258118.i | 0.0846248 | − | 0.479931i | ||||
\(197\) | −366400. | + | 634623.i | −0.672650 | + | 1.16506i | 0.304499 | + | 0.952513i | \(0.401511\pi\) |
−0.977150 | + | 0.212552i | \(0.931823\pi\) | |||||||
\(198\) | −319908. | − | 554097.i | −0.579912 | − | 1.00444i | ||||
\(199\) | 345017. | − | 125576.i | 0.617601 | − | 0.224789i | −0.0142246 | − | 0.999899i | \(-0.504528\pi\) |
0.631826 | + | 0.775110i | \(0.282306\pi\) | |||||||
\(200\) | −336981. | + | 122651.i | −0.595705 | + | 0.216819i | ||||
\(201\) | −3378.24 | − | 5851.29i | −0.00589795 | − | 0.0102155i | ||||
\(202\) | −307102. | + | 531917.i | −0.529547 | + | 0.917203i | ||||
\(203\) | −137288. | + | 778597.i | −0.233825 | + | 1.32609i | ||||
\(204\) | 383683. | − | 321948.i | 0.645501 | − | 0.541639i | ||||
\(205\) | −1.39983e6 | − | 1.17460e6i | −2.32643 | − | 1.95211i | ||||
\(206\) | −12509.0 | − | 70941.9i | −0.0205378 | − | 0.116476i | ||||
\(207\) | −106527. | − | 38772.7i | −0.172796 | − | 0.0628927i | ||||
\(208\) | −176826. | −0.283392 | ||||||||
\(209\) | 313526. | − | 541911.i | 0.496487 | − | 0.858148i | ||||
\(210\) | 1.72904e6 | 2.70556 | ||||||||
\(211\) | 921289. | + | 335322.i | 1.42459 | + | 0.518508i | 0.935376 | − | 0.353655i | \(-0.115061\pi\) |
0.489214 | + | 0.872164i | \(0.337284\pi\) | |||||||
\(212\) | 15630.0 | + | 88642.1i | 0.0238847 | + | 0.135457i | ||||
\(213\) | 433683. | + | 363903.i | 0.654973 | + | 0.549587i | ||||
\(214\) | 117186. | − | 98330.9i | 0.174921 | − | 0.146776i | ||||
\(215\) | 6020.03 | − | 34141.3i | 0.00888184 | − | 0.0503714i | ||||
\(216\) | −129243. | + | 223856.i | −0.188484 | + | 0.326463i | ||||
\(217\) | 244755. | + | 423928.i | 0.352844 | + | 0.611143i | ||||
\(218\) | −571555. | + | 208029.i | −0.814548 | + | 0.296471i | ||||
\(219\) | −1.32914e6 | + | 483767.i | −1.87266 | + | 0.681594i | ||||
\(220\) | 297368. | + | 515056.i | 0.414226 | + | 0.717460i | ||||
\(221\) | 425683. | − | 737304.i | 0.586280 | − | 1.01547i | ||||
\(222\) | −68018.1 | + | 385750.i | −0.0926279 | + | 0.525319i | ||||
\(223\) | −420654. | + | 352971.i | −0.566452 | + | 0.475309i | −0.880466 | − | 0.474109i | \(-0.842770\pi\) |
0.314015 | + | 0.949418i | \(0.398326\pi\) | |||||||
\(224\) | −142905. | − | 119911.i | −0.190294 | − | 0.159676i | ||||
\(225\) | 391169. | + | 2.21843e6i | 0.515120 | + | 2.92139i | ||||
\(226\) | −884467. | − | 321920.i | −1.15189 | − | 0.419253i | ||||
\(227\) | 497072. | 0.640257 | 0.320129 | − | 0.947374i | \(-0.396274\pi\) | ||||
0.320129 | + | 0.947374i | \(0.396274\pi\) | |||||||
\(228\) | −639429. | − | 578.018i | −0.814621 | − | 0.000736384i | ||||
\(229\) | 352557. | 0.444263 | 0.222132 | − | 0.975017i | \(-0.428699\pi\) | ||||
0.222132 | + | 0.975017i | \(0.428699\pi\) | |||||||
\(230\) | 99021.5 | + | 36040.9i | 0.123427 | + | 0.0449237i | ||||
\(231\) | −319662. | − | 1.81290e6i | −0.394150 | − | 2.23534i | ||||
\(232\) | 212766. | + | 178532.i | 0.259527 | + | 0.217769i | ||||
\(233\) | −630507. | + | 529058.i | −0.760852 | + | 0.638430i | −0.938348 | − | 0.345691i | \(-0.887645\pi\) |
0.177497 | + | 0.984121i | \(0.443200\pi\) | |||||||
\(234\) | −192882. | + | 1.09389e6i | −0.230278 | + | 1.30597i | ||||
\(235\) | 632269. | − | 1.09512e6i | 0.746848 | − | 1.29358i | ||||
\(236\) | 240748. | + | 416988.i | 0.281373 | + | 0.487353i | ||||
\(237\) | 1.34981e6 | − | 491292.i | 1.56100 | − | 0.568158i | ||||
\(238\) | 844010. | − | 307195.i | 0.965840 | − | 0.351537i | ||||
\(239\) | −584303. | − | 1.01204e6i | −0.661673 | − | 1.14605i | −0.980176 | − | 0.198130i | \(-0.936513\pi\) |
0.318502 | − | 0.947922i | \(-0.396820\pi\) | |||||||
\(240\) | 303712. | − | 526045.i | 0.340357 | − | 0.589515i | ||||
\(241\) | −30924.1 | + | 175379.i | −0.0342969 | + | 0.194507i | −0.997142 | − | 0.0755458i | \(-0.975930\pi\) |
0.962845 | + | 0.270053i | \(0.0870412\pi\) | |||||||
\(242\) | −8430.05 | + | 7073.65i | −0.00925319 | + | 0.00776435i | ||||
\(243\) | −656811. | − | 551129.i | −0.713550 | − | 0.598740i | ||||
\(244\) | 6143.82 | + | 34843.3i | 0.00660638 | + | 0.0374666i | ||||
\(245\) | 1.43813e6 | + | 523435.i | 1.53067 | + | 0.557119i | ||||
\(246\) | 1.98704e6 | 2.09348 | ||||||||
\(247\) | −1.02169e6 | + | 370819.i | −1.06556 | + | 0.386741i | ||||
\(248\) | 171969. | 0.177550 | ||||||||
\(249\) | −2.03229e6 | − | 739694.i | −2.07725 | − | 0.756056i | ||||
\(250\) | −160820. | − | 912054.i | −0.162738 | − | 0.922934i | ||||
\(251\) | −189012. | − | 158600.i | −0.189368 | − | 0.158898i | 0.543175 | − | 0.839620i | \(-0.317222\pi\) |
−0.732543 | + | 0.680721i | \(0.761667\pi\) | |||||||
\(252\) | −897679. | + | 753242.i | −0.890470 | + | 0.747193i | ||||
\(253\) | 19481.9 | − | 110487.i | 0.0191350 | − | 0.108520i | ||||
\(254\) | 209703. | − | 363216.i | 0.203948 | − | 0.353248i | ||||
\(255\) | 1.46228e6 | + | 2.53275e6i | 1.40826 | + | 2.43917i | ||||
\(256\) | −61583.7 | + | 22414.6i | −0.0587308 | + | 0.0213763i | ||||
\(257\) | 1.03030e6 | − | 375000.i | 0.973044 | − | 0.354159i | 0.193912 | − | 0.981019i | \(-0.437882\pi\) |
0.779132 | + | 0.626860i | \(0.215660\pi\) | |||||||
\(258\) | 18848.8 | + | 32647.1i | 0.0176293 | + | 0.0305348i | ||||
\(259\) | −351211. | + | 608315.i | −0.325326 | + | 0.563480i | ||||
\(260\) | 179292. | − | 1.01681e6i | 0.164485 | − | 0.932842i | ||||
\(261\) | 1.33653e6 | − | 1.12148e6i | 1.21444 | − | 1.01904i | ||||
\(262\) | −833665. | − | 699528.i | −0.750306 | − | 0.629582i | ||||
\(263\) | −130573. | − | 740514.i | −0.116403 | − | 0.660152i | −0.986046 | − | 0.166472i | \(-0.946762\pi\) |
0.869644 | − | 0.493680i | \(-0.164349\pi\) | |||||||
\(264\) | −607708. | − | 221188.i | −0.536642 | − | 0.195322i | ||||
\(265\) | −525572. | −0.459745 | ||||||||
\(266\) | −1.07716e6 | − | 393156.i | −0.933415 | − | 0.340691i | ||||
\(267\) | 551119. | 0.473115 | ||||||||
\(268\) | −3999.80 | − | 1455.81i | −0.00340174 | − | 0.00123813i | ||||
\(269\) | 279875. | + | 1.58725e6i | 0.235821 | + | 1.33741i | 0.840877 | + | 0.541226i | \(0.182040\pi\) |
−0.605056 | + | 0.796183i | \(0.706849\pi\) | |||||||
\(270\) | −1.15621e6 | − | 970173.i | −0.965220 | − | 0.809915i | ||||
\(271\) | −1.20159e6 | + | 1.00825e6i | −0.993878 | + | 0.833962i | −0.986124 | − | 0.166008i | \(-0.946912\pi\) |
−0.00775321 | + | 0.999970i | \(0.502468\pi\) | |||||||
\(272\) | 54792.3 | − | 310743.i | 0.0449053 | − | 0.254671i | ||||
\(273\) | −1.59793e6 | + | 2.76770e6i | −1.29763 | + | 2.24756i | ||||
\(274\) | −165804. | − | 287180.i | −0.133419 | − | 0.231089i | ||||
\(275\) | −2.09491e6 | + | 762486.i | −1.67045 | + | 0.607995i | ||||
\(276\) | −107675. | + | 39190.5i | −0.0850828 | + | 0.0309676i | ||||
\(277\) | −91674.8 | − | 158785.i | −0.0717878 | − | 0.124340i | 0.827897 | − | 0.560880i | \(-0.189537\pi\) |
−0.899685 | + | 0.436540i | \(0.856204\pi\) | |||||||
\(278\) | 180125. | − | 311985.i | 0.139785 | − | 0.242115i | ||||
\(279\) | 187583. | − | 1.06384e6i | 0.144273 | − | 0.818210i | ||||
\(280\) | 834430. | − | 700170.i | 0.636055 | − | 0.533714i | ||||
\(281\) | 1.76856e6 | + | 1.48400e6i | 1.33615 | + | 1.12116i | 0.982597 | + | 0.185748i | \(0.0594708\pi\) |
0.353552 | + | 0.935415i | \(0.384974\pi\) | |||||||
\(282\) | 238774. | + | 1.35415e6i | 0.178799 | + | 1.01402i | ||||
\(283\) | −2.18330e6 | − | 794655.i | −1.62049 | − | 0.589811i | −0.637016 | − | 0.770851i | \(-0.719831\pi\) |
−0.983476 | + | 0.181040i | \(0.942054\pi\) | |||||||
\(284\) | 356656. | 0.262394 | ||||||||
\(285\) | 651669. | − | 3.67636e6i | 0.475242 | − | 2.68106i | ||||
\(286\) | −1.09928e6 | −0.794679 | ||||||||
\(287\) | 3.34839e6 | + | 1.21871e6i | 2.39956 | + | 0.873367i | ||||
\(288\) | 71486.6 | + | 405421.i | 0.0507859 | + | 0.288021i | ||||
\(289\) | 76111.9 | + | 63865.5i | 0.0536053 | + | 0.0449802i | ||||
\(290\) | −1.24236e6 | + | 1.04246e6i | −0.867465 | + | 0.727889i | ||||
\(291\) | 491998. | − | 2.79026e6i | 0.340589 | − | 1.93158i | ||||
\(292\) | −445539. | + | 771696.i | −0.305794 | + | 0.529650i | ||||
\(293\) | −515337. | − | 892590.i | −0.350689 | − | 0.607412i | 0.635681 | − | 0.771952i | \(-0.280719\pi\) |
−0.986370 | + | 0.164540i | \(0.947386\pi\) | |||||||
\(294\) | −1.56380e6 | + | 569178.i | −1.05515 | + | 0.384043i | ||||
\(295\) | −2.64193e6 | + | 961586.i | −1.76753 | + | 0.643329i | ||||
\(296\) | 123383. | + | 213706.i | 0.0818514 | + | 0.141771i | ||||
\(297\) | −803467. | + | 1.39165e6i | −0.528539 | + | 0.915456i | ||||
\(298\) | 52685.4 | − | 298794.i | 0.0343676 | − | 0.194909i | ||||
\(299\) | −149204. | + | 125197.i | −0.0965167 | + | 0.0809872i | ||||
\(300\) | 1.74423e6 | + | 1.46358e6i | 1.11892 | + | 0.938887i | ||||
\(301\) | 11738.9 | + | 66574.6i | 0.00746812 | + | 0.0423538i | ||||
\(302\) | 1.20950e6 | + | 440223.i | 0.763113 | + | 0.277751i | ||||
\(303\) | 3.89980e6 | 2.44026 | ||||||||
\(304\) | −308821. | + | 258656.i | −0.191656 | + | 0.160524i | ||||
\(305\) | −206591. | −0.127163 | ||||||||
\(306\) | −1.86256e6 | − | 677916.i | −1.13712 | − | 0.413878i | ||||
\(307\) | 292135. | + | 1.65678e6i | 0.176904 | + | 1.00327i | 0.935923 | + | 0.352203i | \(0.114567\pi\) |
−0.759020 | + | 0.651068i | \(0.774321\pi\) | |||||||
\(308\) | −888396. | − | 745453.i | −0.533617 | − | 0.447758i | ||||
\(309\) | −350376. | + | 294000.i | −0.208756 | + | 0.175167i | ||||
\(310\) | −174367. | + | 988882.i | −0.103053 | + | 0.584440i | ||||
\(311\) | 346830. | − | 600727.i | 0.203337 | − | 0.352190i | −0.746265 | − | 0.665649i | \(-0.768155\pi\) |
0.949602 | + | 0.313460i | \(0.101488\pi\) | |||||||
\(312\) | 561365. | + | 972313.i | 0.326482 | + | 0.565483i | ||||
\(313\) | 1.43212e6 | − | 521248.i | 0.826262 | − | 0.300735i | 0.105938 | − | 0.994373i | \(-0.466215\pi\) |
0.720324 | + | 0.693638i | \(0.243993\pi\) | |||||||
\(314\) | 626768. | − | 228125.i | 0.358743 | − | 0.130572i | ||||
\(315\) | −3.42122e6 | − | 5.92572e6i | −1.94269 | − | 3.36484i | ||||
\(316\) | 452470. | − | 783701.i | 0.254901 | − | 0.441502i | ||||
\(317\) | 260136. | − | 1.47531e6i | 0.145396 | − | 0.824582i | −0.821652 | − | 0.569989i | \(-0.806947\pi\) |
0.967048 | − | 0.254593i | \(-0.0819415\pi\) | |||||||
\(318\) | 437795. | − | 367354.i | 0.242775 | − | 0.203712i | ||||
\(319\) | 1.32271e6 | + | 1.10988e6i | 0.727757 | + | 0.610661i | ||||
\(320\) | −66449.8 | − | 376856.i | −0.0362760 | − | 0.205731i | ||||
\(321\) | −912719. | − | 332202.i | −0.494395 | − | 0.179945i | ||||
\(322\) | −205481. | −0.110442 | ||||||||
\(323\) | −335067. | − | 1.91035e6i | −0.178700 | − | 1.01884i | ||||
\(324\) | 78140.8 | 0.0413538 | ||||||||
\(325\) | 3.63691e6 | + | 1.32373e6i | 1.90996 | + | 0.695168i | ||||
\(326\) | −424199. | − | 2.40575e6i | −0.221068 | − | 1.25374i | ||||
\(327\) | 2.95839e6 | + | 2.48238e6i | 1.52998 | + | 1.28380i | ||||
\(328\) | 958941. | − | 804647.i | 0.492161 | − | 0.412972i | ||||
\(329\) | −428184. | + | 2.42835e6i | −0.218093 | + | 1.23686i | ||||
\(330\) | 1.88809e6 | − | 3.27027e6i | 0.954416 | − | 1.65310i | ||||
\(331\) | −255612. | − | 442733.i | −0.128236 | − | 0.222112i | 0.794757 | − | 0.606928i | \(-0.207598\pi\) |
−0.922993 | + | 0.384816i | \(0.874265\pi\) | |||||||
\(332\) | −1.28032e6 | + | 465997.i | −0.637489 | + | 0.232027i | ||||
\(333\) | 1.45662e6 | − | 530166.i | 0.719838 | − | 0.262000i | ||||
\(334\) | 61386.7 | + | 106325.i | 0.0301098 | + | 0.0521518i | ||||
\(335\) | 12427.0 | − | 21524.2i | 0.00604998 | − | 0.0104789i | ||||
\(336\) | −205680. | + | 1.16647e6i | −0.0993901 | + | 0.563669i | ||||
\(337\) | −3.17454e6 | + | 2.66375e6i | −1.52267 | + | 1.27767i | −0.690163 | + | 0.723654i | \(0.742461\pi\) |
−0.832505 | + | 0.554017i | \(0.813094\pi\) | |||||||
\(338\) | 324224. | + | 272056.i | 0.154367 | + | 0.129529i | ||||
\(339\) | 1.03775e6 | + | 5.88540e6i | 0.490451 | + | 2.78148i | ||||
\(340\) | 1.73133e6 | + | 630151.i | 0.812235 | + | 0.295629i | ||||
\(341\) | 1.06908e6 | 0.497879 | ||||||||
\(342\) | 1.26325e6 | + | 2.19258e6i | 0.584013 | + | 1.01366i | ||||
\(343\) | 77557.5 | 0.0355950 | ||||||||
\(344\) | 22316.7 | + | 8122.63i | 0.0101680 | + | 0.00370084i | ||||
\(345\) | −116183. | − | 658907.i | −0.0525527 | − | 0.298041i | ||||
\(346\) | −29435.7 | − | 24699.5i | −0.0132186 | − | 0.0110917i | ||||
\(347\) | −2.48041e6 | + | 2.08131e6i | −1.10586 | + | 0.927927i | −0.997805 | − | 0.0662174i | \(-0.978907\pi\) |
−0.108056 | + | 0.994145i | \(0.534462\pi\) | |||||||
\(348\) | 306230. | − | 1.73672e6i | 0.135550 | − | 0.768743i | ||||
\(349\) | 1.11303e6 | − | 1.92783e6i | 0.489153 | − | 0.847238i | −0.510769 | − | 0.859718i | \(-0.670639\pi\) |
0.999922 | + | 0.0124799i | \(0.00397257\pi\) | |||||||
\(350\) | 2.04156e6 | + | 3.53609e6i | 0.890825 | + | 1.54295i | ||||
\(351\) | 2.62150e6 | − | 954149.i | 1.13575 | − | 0.413379i | ||||
\(352\) | −382848. | + | 139345.i | −0.164691 | + | 0.0599426i | ||||
\(353\) | 532415. | + | 922171.i | 0.227412 | + | 0.393890i | 0.957040 | − | 0.289955i | \(-0.0936402\pi\) |
−0.729628 | + | 0.683844i | \(0.760307\pi\) | |||||||
\(354\) | 1.52859e6 | − | 2.64760e6i | 0.648311 | − | 1.12291i | ||||
\(355\) | −361629. | + | 2.05090e6i | −0.152297 | + | 0.863721i | ||||
\(356\) | 265969. | − | 223174.i | 0.111226 | − | 0.0933295i | ||||
\(357\) | −4.36862e6 | − | 3.66571e6i | −1.81415 | − | 1.52226i | ||||
\(358\) | 361736. | + | 2.05150e6i | 0.149171 | + | 0.845990i | ||||
\(359\) | −742235. | − | 270151.i | −0.303952 | − | 0.110630i | 0.185541 | − | 0.982636i | \(-0.440596\pi\) |
−0.489494 | + | 0.872007i | \(0.662818\pi\) | |||||||
\(360\) | −2.40380e6 | −0.977557 | ||||||||
\(361\) | −1.24192e6 | + | 2.14212e6i | −0.501565 | + | 0.865120i | ||||
\(362\) | 1.03446e6 | 0.414900 | ||||||||
\(363\) | 65658.5 | + | 23897.7i | 0.0261532 | + | 0.00951897i | ||||
\(364\) | 349614. | + | 1.98276e6i | 0.138304 | + | 0.784363i | ||||
\(365\) | −3.98578e6 | − | 3.34447e6i | −1.56596 | − | 1.31400i | ||||
\(366\) | 172088. | − | 144399.i | 0.0671503 | − | 0.0563458i | ||||
\(367\) | 625710. | − | 3.54858e6i | 0.242498 | − | 1.37527i | −0.583734 | − | 0.811945i | \(-0.698409\pi\) |
0.826232 | − | 0.563330i | \(-0.190480\pi\) | |||||||
\(368\) | −36093.6 | + | 62515.9i | −0.0138935 | + | 0.0240642i | ||||
\(369\) | −3.93172e6 | − | 6.80993e6i | −1.50320 | − | 2.60362i | ||||
\(370\) | −1.35399e6 | + | 492811.i | −0.514174 | + | 0.187144i | ||||
\(371\) | 963045. | − | 350520.i | 0.363255 | − | 0.132214i | ||||
\(372\) | −545944. | − | 945603.i | −0.204546 | − | 0.354284i | ||||
\(373\) | −861755. | + | 1.49260e6i | −0.320709 | + | 0.555485i | −0.980635 | − | 0.195846i | \(-0.937255\pi\) |
0.659925 | + | 0.751331i | \(0.270588\pi\) | |||||||
\(374\) | 340628. | − | 1.93180e6i | 0.125922 | − | 0.714138i | ||||
\(375\) | −4.50455e6 | + | 3.77977e6i | −1.65414 | + | 1.38799i | ||||
\(376\) | 663593. | + | 556821.i | 0.242065 | + | 0.203117i | ||||
\(377\) | −520530. | − | 2.95207e6i | −0.188622 | − | 1.06973i | ||||
\(378\) | 2.76564e6 | + | 1.00661e6i | 0.995558 | + | 0.362353i | ||||
\(379\) | 1.34133e6 | 0.479666 | 0.239833 | − | 0.970814i | \(-0.422907\pi\) | ||||
0.239833 | + | 0.970814i | \(0.422907\pi\) | |||||||
\(380\) | −1.17424e6 | − | 2.03810e6i | −0.417155 | − | 0.724045i | ||||
\(381\) | −2.66295e6 | −0.939832 | ||||||||
\(382\) | −1.59340e6 | − | 579950.i | −0.558684 | − | 0.203344i | ||||
\(383\) | −183285. | − | 1.03946e6i | −0.0638456 | − | 0.362086i | −0.999946 | − | 0.0103545i | \(-0.996704\pi\) |
0.936101 | − | 0.351732i | \(-0.114407\pi\) | |||||||
\(384\) | 318759. | + | 267471.i | 0.110315 | + | 0.0925653i | ||||
\(385\) | 5.18740e6 | − | 4.35275e6i | 1.78360 | − | 1.49662i | ||||
\(386\) | −354766. | + | 2.01198e6i | −0.121192 | + | 0.687314i | ||||
\(387\) | 74591.5 | − | 129196.i | 0.0253170 | − | 0.0438503i | ||||
\(388\) | −892471. | − | 1.54580e6i | −0.300964 | − | 0.521285i | ||||
\(389\) | 3.05224e6 | − | 1.11092e6i | 1.02269 | − | 0.372229i | 0.224397 | − | 0.974498i | \(-0.427959\pi\) |
0.798293 | + | 0.602269i | \(0.205736\pi\) | |||||||
\(390\) | −6.16034e6 | + | 2.24218e6i | −2.05089 | + | 0.746464i | ||||
\(391\) | −173780. | − | 300996.i | −0.0574854 | − | 0.0995677i | ||||
\(392\) | −524201. | + | 907942.i | −0.172299 | + | 0.298430i | ||||
\(393\) | −1.19988e6 | + | 6.80484e6i | −0.391882 | + | 2.22247i | ||||
\(394\) | 2.24543e6 | − | 1.88414e6i | 0.728716 | − | 0.611465i | ||||
\(395\) | 4.04778e6 | + | 3.39649e6i | 1.30534 | + | 1.09531i | ||||
\(396\) | 444411. | + | 2.52038e6i | 0.142412 | + | 0.807659i | ||||
\(397\) | −5.69014e6 | − | 2.07104e6i | −1.81195 | − | 0.659496i | −0.996772 | − | 0.0802876i | \(-0.974416\pi\) |
−0.815179 | − | 0.579209i | \(-0.803362\pi\) | |||||||
\(398\) | −1.46864e6 | −0.464737 | ||||||||
\(399\) | 1.25777e6 | + | 7.17110e6i | 0.395522 | + | 2.25504i | ||||
\(400\) | 1.43443e6 | 0.448260 | ||||||||
\(401\) | −713025. | − | 259520.i | −0.221434 | − | 0.0805953i | 0.228921 | − | 0.973445i | \(-0.426480\pi\) |
−0.450355 | + | 0.892850i | \(0.648702\pi\) | |||||||
\(402\) | 4693.01 | + | 26615.4i | 0.00144839 | + | 0.00821424i | ||||
\(403\) | −1.42177e6 | − | 1.19301e6i | −0.436081 | − | 0.365915i | ||||
\(404\) | 1.88203e6 | − | 1.57921e6i | 0.573685 | − | 0.481379i | ||||
\(405\) | −79230.4 | + | 449338.i | −0.0240024 | + | 0.136124i | ||||
\(406\) | 1.58122e6 | − | 2.73875e6i | 0.476076 | − | 0.824588i | ||||
\(407\) | 767036. | + | 1.32854e6i | 0.229525 | + | 0.397548i | ||||
\(408\) | −1.88263e6 | + | 685220.i | −0.559904 | + | 0.203788i | ||||
\(409\) | 2.80119e6 | − | 1.01955e6i | 0.828007 | − | 0.301370i | 0.106967 | − | 0.994263i | \(-0.465886\pi\) |
0.721041 | + | 0.692893i | \(0.243664\pi\) | |||||||
\(410\) | 3.65470e6 | + | 6.33012e6i | 1.07372 | + | 1.85974i | ||||
\(411\) | −1.05274e6 | + | 1.82341e6i | −0.307410 | + | 0.532450i | ||||
\(412\) | −50035.9 | + | 283768.i | −0.0145224 | + | 0.0823607i | ||||
\(413\) | 4.19971e6 | − | 3.52397e6i | 1.21156 | − | 1.01662i | ||||
\(414\) | 347367. | + | 291476.i | 0.0996065 | + | 0.0835798i | ||||
\(415\) | −1.38148e6 | − | 7.83478e6i | −0.393754 | − | 2.23309i | ||||
\(416\) | 664649. | + | 241912.i | 0.188304 | + | 0.0685370i | ||||
\(417\) | −2.28735e6 | −0.644158 | ||||||||
\(418\) | −1.91985e6 | + | 1.60799e6i | −0.537436 | + | 0.450135i | ||||
\(419\) | −4.92084e6 | −1.36932 | −0.684658 | − | 0.728864i | \(-0.740049\pi\) | ||||
−0.684658 | + | 0.728864i | \(0.740049\pi\) | |||||||
\(420\) | −6.49906e6 | − | 2.36546e6i | −1.79774 | − | 0.654324i | ||||
\(421\) | 121190. | + | 687305.i | 0.0333244 | + | 0.188992i | 0.996926 | − | 0.0783508i | \(-0.0249654\pi\) |
−0.963601 | + | 0.267343i | \(0.913854\pi\) | |||||||
\(422\) | −3.00417e6 | − | 2.52080e6i | −0.821189 | − | 0.689059i | ||||
\(423\) | 4.16847e6 | − | 3.49776e6i | 1.13273 | − | 0.950472i | ||||
\(424\) | 62520.0 | − | 354568.i | 0.0168890 | − | 0.0957823i | ||||
\(425\) | −3.45318e6 | + | 5.98109e6i | −0.927358 | + | 1.60623i | ||||
\(426\) | −1.13227e6 | − | 1.96114e6i | −0.302290 | − | 0.523582i | ||||
\(427\) | 378552. | − | 137782.i | 0.100475 | − | 0.0365698i | ||||
\(428\) | −575000. | + | 209283.i | −0.151726 | + | 0.0552236i | ||||
\(429\) | 3.48984e6 | + | 6.04458e6i | 0.915508 | + | 1.58571i | ||||
\(430\) | −69336.0 | + | 120093.i | −0.0180837 | + | 0.0313219i | ||||
\(431\) | 600219. | − | 3.40401e6i | 0.155638 | − | 0.882668i | −0.802562 | − | 0.596569i | \(-0.796530\pi\) |
0.958200 | − | 0.286099i | \(-0.0923587\pi\) | |||||||
\(432\) | 792049. | − | 664608.i | 0.204194 | − | 0.171339i | ||||
\(433\) | −4.32864e6 | − | 3.63216e6i | −1.10951 | − | 0.930990i | −0.111483 | − | 0.993766i | \(-0.535560\pi\) |
−0.998028 | + | 0.0627763i | \(0.980005\pi\) | |||||||
\(434\) | −340010. | − | 1.92829e6i | −0.0866498 | − | 0.491415i | ||||
\(435\) | 9.67626e6 | + | 3.52187e6i | 2.45180 | + | 0.892380i | ||||
\(436\) | 2.43294e6 | 0.612937 | ||||||||
\(437\) | −77445.3 | + | 436904.i | −0.0193995 | + | 0.109442i | ||||
\(438\) | 5.65776e6 | 1.40916 | ||||||||
\(439\) | 6.82988e6 | + | 2.48587e6i | 1.69142 | + | 0.615627i | 0.994803 | − | 0.101815i | \(-0.0324650\pi\) |
0.696618 | + | 0.717442i | \(0.254687\pi\) | |||||||
\(440\) | −413099. | − | 2.34280e6i | −0.101724 | − | 0.576904i | ||||
\(441\) | 5.04494e6 | + | 4.23321e6i | 1.23526 | + | 1.03651i | ||||
\(442\) | −2.60874e6 | + | 2.18899e6i | −0.635147 | + | 0.532952i | ||||
\(443\) | −314818. | + | 1.78542e6i | −0.0762168 | + | 0.432247i | 0.922692 | + | 0.385539i | \(0.125984\pi\) |
−0.998909 | + | 0.0467085i | \(0.985127\pi\) | |||||||
\(444\) | 783401. | − | 1.35689e6i | 0.188593 | − | 0.326653i | ||||
\(445\) | 1.01365e6 | + | 1.75570e6i | 0.242655 | + | 0.420292i | ||||
\(446\) | 2.06403e6 | − | 751247.i | 0.491337 | − | 0.178832i | ||||
\(447\) | −1.81023e6 | + | 658871.i | −0.428515 | + | 0.155967i | ||||
\(448\) | 373097. | + | 646224.i | 0.0878268 | + | 0.152121i | ||||
\(449\) | −1.38034e6 | + | 2.39082e6i | −0.323126 | + | 0.559670i | −0.981131 | − | 0.193343i | \(-0.938067\pi\) |
0.658006 | + | 0.753013i | \(0.271400\pi\) | |||||||
\(450\) | 1.56468e6 | − | 8.87373e6i | 0.364245 | − | 2.06574i | ||||
\(451\) | 5.96145e6 | − | 5.00225e6i | 1.38010 | − | 1.15804i | ||||
\(452\) | 2.88410e6 | + | 2.42004e6i | 0.663993 | + | 0.557156i | ||||
\(453\) | −1.41912e6 | − | 8.04824e6i | −0.324918 | − | 1.84270i | ||||
\(454\) | −1.86838e6 | − | 680034.i | −0.425427 | − | 0.154843i | ||||
\(455\) | −1.17561e7 | −2.66216 | ||||||||
\(456\) | 2.40268e6 | + | 876963.i | 0.541107 | + | 0.197501i | ||||
\(457\) | 7.69236e6 | 1.72294 | 0.861468 | − | 0.507812i | \(-0.169546\pi\) | ||||
0.861468 | + | 0.507812i | \(0.169546\pi\) | |||||||
\(458\) | −1.32518e6 | − | 482326.i | −0.295197 | − | 0.107443i | ||||
\(459\) | 864446. | + | 4.90251e6i | 0.191516 | + | 1.08614i | ||||
\(460\) | −322892. | − | 270939.i | −0.0711481 | − | 0.0597003i | ||||
\(461\) | −4.45160e6 | + | 3.73534e6i | −0.975583 | + | 0.818611i | −0.983417 | − | 0.181358i | \(-0.941951\pi\) |
0.00783434 | + | 0.999969i | \(0.497506\pi\) | |||||||
\(462\) | −1.27865e6 | + | 7.25158e6i | −0.278706 | + | 1.58062i | ||||
\(463\) | −2.02656e6 | + | 3.51010e6i | −0.439346 | + | 0.760969i | −0.997639 | − | 0.0686746i | \(-0.978123\pi\) |
0.558293 | + | 0.829644i | \(0.311456\pi\) | |||||||
\(464\) | −555494. | − | 962143.i | −0.119780 | − | 0.207465i | ||||
\(465\) | 5.99111e6 | − | 2.18059e6i | 1.28492 | − | 0.467672i | ||||
\(466\) | 3.09372e6 | − | 1.12602e6i | 0.659959 | − | 0.240205i | ||||
\(467\) | −3.02813e6 | − | 5.24487e6i | −0.642513 | − | 1.11286i | −0.984870 | − | 0.173295i | \(-0.944559\pi\) |
0.342357 | − | 0.939570i | \(-0.388775\pi\) | |||||||
\(468\) | 2.22152e6 | − | 3.84779e6i | 0.468853 | − | 0.812077i | ||||
\(469\) | −8415.79 | + | 47728.3i | −0.00176670 | + | 0.0100195i | ||||
\(470\) | −3.87477e6 | + | 3.25132e6i | −0.809098 | + | 0.678914i | ||||
\(471\) | −3.24417e6 | − | 2.72218e6i | −0.673832 | − | 0.565412i | ||||
\(472\) | −334444. | − | 1.89672e6i | −0.0690984 | − | 0.391876i | ||||
\(473\) | 138737. | + | 50496.0i | 0.0285127 | + | 0.0103778i | ||||
\(474\) | −5.74577e6 | −1.17463 | ||||||||
\(475\) | 8.28806e6 | − | 3.00812e6i | 1.68546 | − | 0.611733i | ||||
\(476\) | −3.59271e6 | −0.726782 | ||||||||
\(477\) | −2.12524e6 | − | 773526.i | −0.427674 | − | 0.155661i | ||||
\(478\) | 811706. | + | 4.60341e6i | 0.162491 | + | 0.921531i | ||||
\(479\) | 3.05657e6 | + | 2.56477e6i | 0.608690 | + | 0.510752i | 0.894226 | − | 0.447617i | \(-0.147727\pi\) |
−0.285536 | + | 0.958368i | \(0.592171\pi\) | |||||||
\(480\) | −1.86126e6 | + | 1.56178e6i | −0.368726 | + | 0.309397i | ||||
\(481\) | 462468. | − | 2.62279e6i | 0.0911422 | − | 0.516893i | ||||
\(482\) | 356170. | − | 616904.i | 0.0698296 | − | 0.120948i | ||||
\(483\) | 652336. | + | 1.12988e6i | 0.127234 | + | 0.220376i | ||||
\(484\) | 41363.9 | − | 15055.2i | 0.00802617 | − | 0.00292129i | ||||
\(485\) | 9.79385e6 | − | 3.56467e6i | 1.89060 | − | 0.688121i | ||||
\(486\) | 1.71481e6 | + | 2.97014e6i | 0.329326 | + | 0.570409i | ||||
\(487\) | −3.78689e6 | + | 6.55908e6i | −0.723535 | + | 1.25320i | 0.236039 | + | 0.971744i | \(0.424151\pi\) |
−0.959574 | + | 0.281456i | \(0.909183\pi\) | |||||||
\(488\) | 24575.3 | − | 139373.i | 0.00467142 | − | 0.0264929i | ||||
\(489\) | −1.18818e7 | + | 9.97001e6i | −2.24703 | + | 1.88549i | ||||
\(490\) | −4.68949e6 | − | 3.93495e6i | −0.882338 | − | 0.740370i | ||||
\(491\) | −265158. | − | 1.50379e6i | −0.0496365 | − | 0.281503i | 0.949879 | − | 0.312617i | \(-0.101206\pi\) |
−0.999516 | + | 0.0311141i | \(0.990094\pi\) | |||||||
\(492\) | −7.46882e6 | − | 2.71843e6i | −1.39104 | − | 0.506297i | ||||
\(493\) | 5.34907e6 | 0.991200 | ||||||||
\(494\) | 4.34761e6 | + | 3930.06i | 0.801554 | + | 0.000724572i | ||||
\(495\) | −1.49437e7 | −2.74123 | ||||||||
\(496\) | −646391. | − | 235267.i | −0.117975 | − | 0.0429395i | ||||
\(497\) | −705167. | − | 3.99920e6i | −0.128056 | − | 0.726243i | ||||
\(498\) | 6.62696e6 | + | 5.56068e6i | 1.19741 | + | 1.00474i | ||||
\(499\) | 1.11992e6 | − | 939722.i | 0.201342 | − | 0.168946i | −0.536542 | − | 0.843874i | \(-0.680270\pi\) |
0.737884 | + | 0.674928i | \(0.235825\pi\) | |||||||
\(500\) | −643279. | + | 3.64822e6i | −0.115073 | + | 0.652613i | ||||
\(501\) | 389765. | − | 675094.i | 0.0693760 | − | 0.120163i | ||||
\(502\) | 493476. | + | 854726.i | 0.0873991 | + | 0.151380i | ||||
\(503\) | −7.01217e6 | + | 2.55222e6i | −1.23576 | + | 0.449778i | −0.875565 | − | 0.483100i | \(-0.839511\pi\) |
−0.360191 | + | 0.932879i | \(0.617288\pi\) | |||||||
\(504\) | 4.40466e6 | − | 1.60317e6i | 0.772389 | − | 0.281127i | ||||
\(505\) | 7.17277e6 | + | 1.24236e7i | 1.25158 | + | 2.16780i | ||||
\(506\) | −224383. | + | 388643.i | −0.0389596 | + | 0.0674799i | ||||
\(507\) | 466649. | − | 2.64650e6i | 0.0806251 | − | 0.457248i | ||||
\(508\) | −1.28513e6 | + | 1.07835e6i | −0.220947 | + | 0.185397i | ||||
\(509\) | −3.22046e6 | − | 2.70228e6i | −0.550964 | − | 0.462314i | 0.324303 | − | 0.945953i | \(-0.394870\pi\) |
−0.875267 | + | 0.483640i | \(0.839315\pi\) | |||||||
\(510\) | −2.03138e6 | − | 1.15206e7i | −0.345833 | − | 1.96132i | ||||
\(511\) | 9.53397e6 | + | 3.47008e6i | 1.61518 | + | 0.587878i | ||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | 3.18267e6 | − | 5.50105e6i | 0.533947 | − | 0.922895i | ||||
\(514\) | −4.38571e6 | −0.732203 | ||||||||
\(515\) | −1.58103e6 | − | 575449.i | −0.262678 | − | 0.0956068i | ||||
\(516\) | −26184.5 | − | 148500.i | −0.00432932 | − | 0.0245528i | ||||
\(517\) | 4.12536e6 | + | 3.46159e6i | 0.678791 | + | 0.569573i | ||||
\(518\) | 2.15234e6 | − | 1.80603e6i | 0.352442 | − | 0.295734i | ||||
\(519\) | −42366.2 | + | 240271.i | −0.00690400 | + | 0.0391545i | ||||
\(520\) | −2.06500e6 | + | 3.57669e6i | −0.334897 | + | 0.580059i | ||||
\(521\) | −3.03872e6 | − | 5.26322e6i | −0.490452 | − | 0.849487i | 0.509488 | − | 0.860478i | \(-0.329835\pi\) |
−0.999940 | + | 0.0109905i | \(0.996502\pi\) | |||||||
\(522\) | −6.55797e6 | + | 2.38691e6i | −1.05340 | + | 0.383406i | ||||
\(523\) | −4.53079e6 | + | 1.64907e6i | −0.724302 | + | 0.263624i | −0.677751 | − | 0.735291i | \(-0.737045\pi\) |
−0.0465512 | + | 0.998916i | \(0.514823\pi\) | |||||||
\(524\) | 2.17655e6 | + | 3.76989e6i | 0.346290 | + | 0.599791i | ||||
\(525\) | 1.29626e7 | − | 2.24518e7i | 2.05255 | − | 3.55511i | ||||
\(526\) | −522291. | + | 2.96206e6i | −0.0823091 | + | 0.466798i | ||||
\(527\) | 2.53707e6 | − | 2.12886e6i | 0.397930 | − | 0.333903i | ||||
\(528\) | 1.98163e6 | + | 1.66279e6i | 0.309341 | + | 0.259568i | ||||
\(529\) | −1.10385e6 | − | 6.26026e6i | −0.171503 | − | 0.972642i | ||||
\(530\) | 1.97550e6 | + | 719025.i | 0.305484 | + | 0.111187i | ||||
\(531\) | −1.20984e7 | −1.86205 | ||||||||
\(532\) | 3.51092e6 | + | 2.95142e6i | 0.537826 | + | 0.452118i | ||||
\(533\) | −1.35103e7 | −2.05990 | ||||||||
\(534\) | −2.07153e6 | − | 753975.i | −0.314368 | − | 0.114420i | ||||
\(535\) | −620435. | − | 3.51866e6i | −0.0937156 | − | 0.531487i | ||||
\(536\) | 13042.7 | + | 10944.1i | 0.00196089 | + | 0.00164539i | ||||
\(537\) | 1.01322e7 | − | 8.50193e6i | 1.51624 | − | 1.27228i | ||||
\(538\) | 1.11950e6 | − | 6.34899e6i | 0.166751 | − | 0.945691i | ||||
\(539\) | −3.25880e6 | + | 5.64441e6i | −0.483154 | + | 0.836848i | ||||
\(540\) | 3.01864e6 | + | 5.22844e6i | 0.445479 | + | 0.771592i | ||||
\(541\) | −1.02131e7 | + | 3.71727e6i | −1.50026 | + | 0.546049i | −0.956127 | − | 0.292952i | \(-0.905362\pi\) |
−0.544130 | + | 0.839001i | \(0.683140\pi\) | |||||||
\(542\) | 5.89587e6 | − | 2.14592e6i | 0.862084 | − | 0.313773i | ||||
\(543\) | −3.28408e6 | − | 5.68819e6i | −0.477985 | − | 0.827894i | ||||
\(544\) | −631073. | + | 1.09305e6i | −0.0914286 | + | 0.158359i | ||||
\(545\) | −2.46687e6 | + | 1.39903e7i | −0.355758 | + | 2.01760i | ||||
\(546\) | 9.79268e6 | − | 8.21704e6i | 1.40579 | − | 1.17960i | ||||
\(547\) | 3.11294e6 | + | 2.61207e6i | 0.444839 | + | 0.373264i | 0.837517 | − | 0.546412i | \(-0.184007\pi\) |
−0.392678 | + | 0.919676i | \(0.628451\pi\) | |||||||
\(548\) | 230332. | + | 1.30628e6i | 0.0327645 | + | 0.185816i | ||||
\(549\) | −835388. | − | 304056.i | −0.118293 | − | 0.0430550i | ||||
\(550\) | 8.91744e6 | 1.25700 | ||||||||
\(551\) | −5.22730e6 | − | 4.39428e6i | −0.733497 | − | 0.616608i | ||||
\(552\) | 458341. | 0.0640237 | ||||||||
\(553\) | −9.68228e6 | − | 3.52406e6i | −1.34637 | − | 0.490039i | ||||
\(554\) | 127353. | + | 722256.i | 0.0176293 | + | 0.0999809i | ||||
\(555\) | 7.00828e6 | + | 5.88065e6i | 0.965782 | + | 0.810387i | ||||
\(556\) | −1.10387e6 | + | 926256.i | −0.151436 | + | 0.127070i | ||||
\(557\) | 1.79534e6 | − | 1.01819e7i | 0.245194 | − | 1.39056i | −0.574848 | − | 0.818260i | \(-0.694939\pi\) |
0.820042 | − | 0.572304i | \(-0.193950\pi\) | |||||||
\(558\) | −2.16050e6 | + | 3.74209e6i | −0.293744 | + | 0.508779i | ||||
\(559\) | −128157. | − | 221974.i | −0.0173465 | − | 0.0300450i | ||||
\(560\) | −4.09432e6 | + | 1.49021e6i | −0.551711 | + | 0.200806i | ||||
\(561\) | −1.17037e7 | + | 4.25981e6i | −1.57006 | + | 0.571456i | ||||
\(562\) | −4.61739e6 | − | 7.99756e6i | −0.616675 | − | 1.06811i | ||||
\(563\) | −4.77797e6 | + | 8.27569e6i | −0.635291 | + | 1.10036i | 0.351163 | + | 0.936314i | \(0.385786\pi\) |
−0.986453 | + | 0.164041i | \(0.947547\pi\) | |||||||
\(564\) | 955096. | − | 5.41662e6i | 0.126430 | − | 0.717019i | ||||
\(565\) | −1.68404e7 | + | 1.41308e7i | −2.21938 | + | 1.86228i | ||||
\(566\) | 7.11936e6 | + | 5.97385e6i | 0.934114 | + | 0.783815i | ||||
\(567\) | −154497. | − | 876197.i | −0.0201819 | − | 0.114457i | ||||
\(568\) | −1.34059e6 | − | 487934.i | −0.174351 | − | 0.0634586i | ||||
\(569\) | 5.49168e6 | 0.711089 | 0.355545 | − | 0.934659i | \(-0.384295\pi\) | ||||
0.355545 | + | 0.934659i | \(0.384295\pi\) | |||||||
\(570\) | −7.47904e6 | + | 1.29271e7i | −0.964181 | + | 1.66653i | ||||
\(571\) | 7.79290e6 | 1.00025 | 0.500125 | − | 0.865953i | \(-0.333287\pi\) | ||||
0.500125 | + | 0.865953i | \(0.333287\pi\) | |||||||
\(572\) | 4.13193e6 | + | 1.50390e6i | 0.528035 | + | 0.192189i | ||||
\(573\) | 1.86955e6 | + | 1.06028e7i | 0.237876 | + | 1.34906i | ||||
\(574\) | −1.09185e7 | − | 9.16173e6i | −1.38320 | − | 1.16064i | ||||
\(575\) | 1.21036e6 | − | 1.01561e6i | 0.152667 | − | 0.128103i | ||||
\(576\) | 285946. | − | 1.62168e6i | 0.0359111 | − | 0.203662i | ||||
\(577\) | 1.87425e6 | − | 3.24630e6i | 0.234363 | − | 0.405929i | −0.724724 | − | 0.689039i | \(-0.758033\pi\) |
0.959087 | + | 0.283110i | \(0.0913662\pi\) | |||||||
\(578\) | −198714. | − | 344183.i | −0.0247405 | − | 0.0428519i | ||||
\(579\) | 1.21895e7 | − | 4.43662e6i | 1.51109 | − | 0.549992i | ||||
\(580\) | 6.09591e6 | − | 2.21873e6i | 0.752434 | − | 0.273864i | ||||
\(581\) | 7.75665e6 | + | 1.34349e7i | 0.953309 | + | 1.65118i | ||||
\(582\) | −5.66660e6 | + | 9.81484e6i | −0.693450 | + | 1.20109i | ||||
\(583\) | 388668. | − | 2.20425e6i | 0.0473596 | − | 0.268589i | ||||
\(584\) | 2.73042e6 | − | 2.29109e6i | 0.331282 | − | 0.277978i | ||||
\(585\) | 1.98737e7 | + | 1.66760e7i | 2.40098 | + | 2.01466i | ||||
\(586\) | 715899. | + | 4.06006e6i | 0.0861207 | + | 0.488415i | ||||
\(587\) | 5.37343e6 | + | 1.95577e6i | 0.643660 | + | 0.234273i | 0.643166 | − | 0.765727i | \(-0.277621\pi\) |
0.000493919 | 1.00000i | \(0.499843\pi\) | ||||||||
\(588\) | 6.65666e6 | 0.793986 | ||||||||
\(589\) | −4.22818e6 | − | 3822.10i | −0.502186 | − | 0.000453956i | ||||
\(590\) | 1.12460e7 | 1.33004 | ||||||||
\(591\) | −1.74888e7 | − | 6.36539e6i | −2.05964 | − | 0.749647i | ||||
\(592\) | −171402. | − | 972068.i | −0.0201007 | − | 0.113997i | ||||
\(593\) | 3.82253e6 | + | 3.20749e6i | 0.446390 | + | 0.374566i | 0.838094 | − | 0.545525i | \(-0.183670\pi\) |
−0.391704 | + | 0.920091i | \(0.628114\pi\) | |||||||
\(594\) | 4.92393e6 | − | 4.13167e6i | 0.572593 | − | 0.480463i | ||||
\(595\) | 3.64280e6 | − | 2.06594e7i | 0.421836 | − | 2.39235i | ||||
\(596\) | −606807. | + | 1.05102e6i | −0.0699737 | + | 0.121198i | ||||
\(597\) | 4.66245e6 | + | 8.07559e6i | 0.535400 | + | 0.927339i | ||||
\(598\) | 732104. | − | 266464.i | 0.0837181 | − | 0.0304709i | ||||
\(599\) | 1.16806e7 | − | 4.25139e6i | 1.33014 | − | 0.484132i | 0.423448 | − | 0.905920i | \(-0.360820\pi\) |
0.906694 | + | 0.421788i | \(0.138597\pi\) | |||||||
\(600\) | −4.55385e6 | − | 7.88750e6i | −0.516417 | − | 0.894461i | ||||
\(601\) | 1.34088e6 | − | 2.32247e6i | 0.151427 | − | 0.262279i | −0.780325 | − | 0.625374i | \(-0.784947\pi\) |
0.931752 | + | 0.363095i | \(0.118280\pi\) | |||||||
\(602\) | 46955.6 | − | 266299.i | 0.00528076 | − | 0.0299487i | ||||
\(603\) | 81929.6 | − | 68747.1i | 0.00917588 | − | 0.00769947i | ||||
\(604\) | −3.94398e6 | − | 3.30939e6i | −0.439888 | − | 0.369110i | ||||
\(605\) | 44632.4 | + | 253123.i | 0.00495749 | + | 0.0281153i | ||||
\(606\) | −1.46584e7 | − | 5.33524e6i | −1.62146 | − | 0.590163i | ||||
\(607\) | −4.21605e6 | −0.464444 | −0.232222 | − | 0.972663i | \(-0.574600\pi\) | ||||
−0.232222 | + | 0.972663i | \(0.574600\pi\) | |||||||
\(608\) | 1.51465e6 | − | 549738.i | 0.166170 | − | 0.0603110i | ||||
\(609\) | −2.00794e7 | −2.19385 | ||||||||
\(610\) | 776528. | + | 282633.i | 0.0844954 | + | 0.0307538i | ||||
\(611\) | −1.62347e6 | − | 9.20717e6i | −0.175931 | − | 0.997753i | ||||
\(612\) | 6.07349e6 | + | 5.09626e6i | 0.655480 | + | 0.550013i | ||||
\(613\) | −6.87125e6 | + | 5.76566e6i | −0.738558 | + | 0.619724i | −0.932450 | − | 0.361299i | \(-0.882333\pi\) |
0.193892 | + | 0.981023i | \(0.437889\pi\) | |||||||
\(614\) | 1.16854e6 | − | 6.62711e6i | 0.125090 | − | 0.709420i | ||||
\(615\) | 2.32049e7 | − | 4.01921e7i | 2.47396 | − | 4.28502i | ||||
\(616\) | 2.31944e6 | + | 4.01738e6i | 0.246281 | + | 0.426571i | ||||
\(617\) | 1.28712e7 | − | 4.68472e6i | 1.36115 | − | 0.495416i | 0.444737 | − | 0.895661i | \(-0.353297\pi\) |
0.916408 | + | 0.400245i | \(0.131075\pi\) | |||||||
\(618\) | 1.71920e6 | − | 625737.i | 0.181074 | − | 0.0659054i | ||||
\(619\) | −683721. | − | 1.18424e6i | −0.0717219 | − | 0.124226i | 0.827934 | − | 0.560825i | \(-0.189516\pi\) |
−0.899656 | + | 0.436599i | \(0.856183\pi\) | |||||||
\(620\) | 2.00827e6 | − | 3.47843e6i | 0.209818 | − | 0.363416i | ||||
\(621\) | 197764. | − | 1.12158e6i | 0.0205788 | − | 0.116708i | ||||
\(622\) | −2.12550e6 | + | 1.78350e6i | −0.220285 | + | 0.184841i | ||||
\(623\) | −3.02833e6 | − | 2.54107e6i | −0.312595 | − | 0.262299i | ||||
\(624\) | −779840. | − | 4.42269e6i | −0.0801759 | − | 0.454700i | ||||
\(625\) | −3.87214e6 | − | 1.40934e6i | −0.396507 | − | 0.144317i | ||||
\(626\) | −6.09611e6 | −0.621752 | ||||||||
\(627\) | 1.49367e7 | + | 5.45182e6i | 1.51735 | + | 0.553825i | ||||
\(628\) | −2.66797e6 | −0.269949 | ||||||||
\(629\) | 4.46581e6 | + | 1.62542e6i | 0.450064 | + | 0.163810i | ||||
\(630\) | 4.75270e6 | + | 2.69539e7i | 0.477078 | + | 2.70564i | ||||
\(631\) | 5.65734e6 | + | 4.74707e6i | 0.565639 | + | 0.474627i | 0.880195 | − | 0.474612i | \(-0.157411\pi\) |
−0.314557 | + | 0.949239i | \(0.601856\pi\) | |||||||
\(632\) | −2.77290e6 | + | 2.32674e6i | −0.276147 | + | 0.231715i | ||||
\(633\) | −4.32384e6 | + | 2.45217e7i | −0.428904 | + | 2.43243i | ||||
\(634\) | −2.99613e6 | + | 5.18945e6i | −0.296031 | + | 0.512741i | ||||
\(635\) | −4.89787e6 | − | 8.48336e6i | −0.482029 | − | 0.834899i | ||||
\(636\) | −2.14814e6 | + | 781860.i | −0.210582 | + | 0.0766454i | ||||
\(637\) | 1.06326e7 | − | 3.86996e6i | 1.03822 | − | 0.377883i | ||||
\(638\) | −3.45334e6 | − | 5.98136e6i | −0.335883 | − | 0.581766i | ||||
\(639\) | −4.48078e6 | + | 7.76095e6i | −0.434112 | + | 0.751904i | ||||
\(640\) | −265799. | + | 1.50742e6i | −0.0256510 | + | 0.145474i | ||||
\(641\) | −1.52523e6 | + | 1.27982e6i | −0.146619 | + | 0.123028i | −0.713147 | − | 0.701014i | \(-0.752731\pi\) |
0.566528 | + | 0.824043i | \(0.308286\pi\) | |||||||
\(642\) | 2.97622e6 | + | 2.49735e6i | 0.284989 | + | 0.239134i | ||||
\(643\) | 3.03365e6 | + | 1.72047e7i | 0.289360 | + | 1.64104i | 0.689283 | + | 0.724492i | \(0.257926\pi\) |
−0.399923 | + | 0.916549i | \(0.630963\pi\) | |||||||
\(644\) | 772357. | + | 281115.i | 0.0733844 | + | 0.0267097i | ||||
\(645\) | 880476. | 0.0833332 | ||||||||
\(646\) | −1.35408e6 | + | 7.63898e6i | −0.127662 | + | 0.720202i | ||||
\(647\) | 1.46630e7 | 1.37709 | 0.688544 | − | 0.725195i | \(-0.258250\pi\) | ||||
0.688544 | + | 0.725195i | \(0.258250\pi\) | |||||||
\(648\) | −293713. | − | 106903.i | −0.0274781 | − | 0.0100012i | ||||
\(649\) | −2.07914e6 | − | 1.17914e7i | −0.193763 | − | 1.09889i | ||||
\(650\) | −1.18593e7 | − | 9.95117e6i | −1.10097 | − | 0.923827i | ||||
\(651\) | −9.52367e6 | + | 7.99131e6i | −0.880748 | + | 0.739036i | ||||
\(652\) | −1.69680e6 | + | 9.62300e6i | −0.156319 | + | 0.886526i | ||||
\(653\) | 4.66959e6 | − | 8.08796e6i | 0.428544 | − | 0.742260i | −0.568200 | − | 0.822891i | \(-0.692360\pi\) |
0.996744 | + | 0.0806303i | \(0.0256933\pi\) | |||||||
\(654\) | −7.72380e6 | − | 1.33780e7i | −0.706133 | − | 1.22306i | ||||
\(655\) | −2.38851e7 | + | 8.69347e6i | −2.17532 | + | 0.791753i | ||||
\(656\) | −4.70526e6 | + | 1.71257e6i | −0.426898 | + | 0.155378i | ||||
\(657\) | −1.11949e7 | − | 1.93901e7i | −1.01183 | − | 1.75254i | ||||
\(658\) | 4.93163e6 | − | 8.54183e6i | 0.444044 | − | 0.769106i | ||||
\(659\) | 542640. | − | 3.07747e6i | 0.0486742 | − | 0.276045i | −0.950751 | − | 0.309957i | \(-0.899685\pi\) |
0.999425 | + | 0.0339118i | \(0.0107965\pi\) | |||||||
\(660\) | −1.15709e7 | + | 9.70912e6i | −1.03397 | + | 0.867601i | ||||
\(661\) | 5.66697e6 | + | 4.75515e6i | 0.504484 | + | 0.423312i | 0.859183 | − | 0.511668i | \(-0.170972\pi\) |
−0.354699 | + | 0.934980i | \(0.615417\pi\) | |||||||
\(662\) | 355093. | + | 2.01383e6i | 0.0314917 | + | 0.178599i | ||||
\(663\) | 2.03185e7 | + | 7.39531e6i | 1.79518 | + | 0.653390i | ||||
\(664\) | 5.44994e6 | 0.479702 | ||||||||
\(665\) | −2.05316e7 | + | 1.71965e7i | −1.80040 | + | 1.50794i | ||||
\(666\) | −6.20040e6 | −0.541669 | ||||||||
\(667\) | −1.14994e6 | − | 418544.i | −0.100083 | − | 0.0364272i | ||||
\(668\) | −85277.6 | − | 483633.i | −0.00739424 | − | 0.0419348i | ||||
\(669\) | −1.06835e7 | − | 8.96452e6i | −0.922887 | − | 0.774394i | ||||
\(670\) | −76157.0 | + | 63903.3i | −0.00655425 | + | 0.00549967i | ||||
\(671\) | 152777. | − | 866442.i | 0.0130994 | − | 0.0742905i | ||||
\(672\) | 2.36892e6 | − | 4.10310e6i | 0.202361 | − | 0.350500i | ||||
\(673\) | −3.27104e6 | − | 5.66561e6i | −0.278386 | − | 0.482179i | 0.692597 | − | 0.721324i | \(-0.256466\pi\) |
−0.970984 | + | 0.239145i | \(0.923133\pi\) | |||||||
\(674\) | 1.55766e7 | − | 5.66941e6i | 1.32075 | − | 0.480716i | ||||
\(675\) | −2.12659e7 | + | 7.74016e6i | −1.79649 | + | 0.653868i | ||||
\(676\) | −846489. | − | 1.46616e6i | −0.0712450 | − | 0.123400i | ||||
\(677\) | −4.01356e6 | + | 6.95170e6i | −0.336557 | + | 0.582934i | −0.983783 | − | 0.179365i | \(-0.942596\pi\) |
0.647226 | + | 0.762298i | \(0.275929\pi\) | |||||||
\(678\) | 4.15102e6 | − | 2.35416e7i | 0.346801 | − | 1.96681i | ||||
\(679\) | −1.55686e7 | + | 1.30636e7i | −1.29591 | + | 1.08740i | ||||
\(680\) | −5.64556e6 | − | 4.73719e6i | −0.468204 | − | 0.392869i | ||||
\(681\) | 2.19219e6 | + | 1.24325e7i | 0.181138 | + | 1.02729i | ||||
\(682\) | −4.01842e6 | − | 1.46259e6i | −0.330822 | − | 0.120409i | ||||
\(683\) | 4.90962e6 | 0.402714 | 0.201357 | − | 0.979518i | \(-0.435465\pi\) | ||||
0.201357 | + | 0.979518i | \(0.435465\pi\) | |||||||
\(684\) | −1.74862e6 | − | 9.96963e6i | −0.142908 | − | 0.814777i | ||||
\(685\) | −7.74511e6 | −0.630669 | ||||||||
\(686\) | −291521. | − | 106105.i | −0.0236515 | − | 0.00860846i | ||||
\(687\) | 1.55485e6 | + | 8.81799e6i | 0.125689 | + | 0.712816i | ||||
\(688\) | −72771.1 | − | 61062.2i | −0.00586122 | − | 0.00491815i | ||||
\(689\) | −2.97666e6 | + | 2.49771e6i | −0.238881 | + | 0.200445i | ||||
\(690\) | −464732. | + | 2.63563e6i | −0.0371604 | + | 0.210747i | ||||
\(691\) | −4.39173e6 | + | 7.60670e6i | −0.349897 | + | 0.606040i | −0.986231 | − | 0.165374i | \(-0.947117\pi\) |
0.636333 | + | 0.771414i | \(0.280450\pi\) | |||||||
\(692\) | 76851.1 | + | 133110.i | 0.00610078 | + | 0.0105669i | ||||
\(693\) | 2.73825e7 | − | 9.96641e6i | 2.16591 | − | 0.788326i | ||||
\(694\) | 1.21707e7 | − | 4.42978e6i | 0.959218 | − | 0.349127i | ||||
\(695\) | −4.20705e6 | − | 7.28682e6i | −0.330381 | − | 0.572237i | ||||
\(696\) | −3.52702e6 | + | 6.10898e6i | −0.275985 | + | 0.478019i | ||||
\(697\) | 4.18637e6 | − | 2.37421e7i | 0.326404 | − | 1.85113i | ||||
\(698\) | −6.82107e6 | + | 5.72356e6i | −0.529924 | + | 0.444659i | ||||
\(699\) | −1.60132e7 | − | 1.34367e7i | −1.23961 | − | 1.04016i | ||||
\(700\) | −2.83611e6 | − | 1.60844e7i | −0.218765 | − | 1.24068i | ||||
\(701\) | 2.14762e7 | + | 7.81670e6i | 1.65068 | + | 0.600798i | 0.988858 | − | 0.148865i | \(-0.0475619\pi\) |
0.661820 | + | 0.749662i | \(0.269784\pi\) | |||||||
\(702\) | −1.11590e7 | −0.854637 | ||||||||
\(703\) | −3.02886e6 | − | 5.25710e6i | −0.231148 | − | 0.401197i | ||||
\(704\) | 1.62967e6 | 0.123928 | ||||||||
\(705\) | 3.01791e7 | + | 1.09843e7i | 2.28683 | + | 0.832337i | ||||
\(706\) | −739624. | − | 4.19461e6i | −0.0558469 | − | 0.316724i | ||||
\(707\) | −2.14289e7 | − | 1.79810e7i | −1.61232 | − | 1.35290i | ||||
\(708\) | −9.36775e6 | + | 7.86048e6i | −0.702348 | + | 0.589340i | ||||
\(709\) | −1.40143e6 | + | 7.94790e6i | −0.104702 | + | 0.593796i | 0.886637 | + | 0.462467i | \(0.153036\pi\) |
−0.991339 | + | 0.131329i | \(0.958076\pi\) | |||||||
\(710\) | 4.16508e6 | − | 7.21413e6i | 0.310082 | − | 0.537079i | ||||
\(711\) | 1.13690e7 | + | 1.96918e7i | 0.843432 | + | 1.46087i | ||||
\(712\) | −1.30504e6 | + | 474994.i | −0.0964767 | + | 0.0351146i | ||||
\(713\) | −711992. | + | 259144.i | −0.0524507 | + | 0.0190905i | ||||
\(714\) | 1.14057e7 | + | 1.97552e7i | 0.837288 | + | 1.45023i | ||||
\(715\) | −1.28375e7 | + | 2.22352e7i | −0.939108 | + | 1.62658i | ||||
\(716\) | 1.44694e6 | − | 8.20602e6i | 0.105480 | − | 0.598205i | ||||
\(717\) | 2.27358e7 | − | 1.90776e7i | 1.65163 | − | 1.38588i | ||||
\(718\) | 2.42030e6 | + | 2.03087e6i | 0.175210 | + | 0.147019i | ||||
\(719\) | −4.17538e6 | − | 2.36797e7i | −0.301213 | − | 1.70826i | −0.640816 | − | 0.767695i | \(-0.721404\pi\) |
0.339603 | − | 0.940569i | \(-0.389707\pi\) | |||||||
\(720\) | 9.03533e6 | + | 3.28859e6i | 0.649550 | + | 0.236417i | ||||
\(721\) | 3.28083e6 | 0.235042 | ||||||||
\(722\) | 7.59871e6 | − | 6.35270e6i | 0.542496 | − | 0.453539i | ||||
\(723\) | −4.52289e6 | −0.321788 | ||||||||
\(724\) | −3.88831e6 | − | 1.41523e6i | −0.275686 | − | 0.100341i | ||||
\(725\) | 4.22260e6 | + | 2.39475e7i | 0.298356 | + | 1.69206i | ||||
\(726\) | −214101. | − | 179652.i | −0.0150757 | − | 0.0126500i | ||||
\(727\) | 4.82701e6 | − | 4.05034e6i | 0.338721 | − | 0.284221i | −0.457521 | − | 0.889199i | \(-0.651263\pi\) |
0.796242 | + | 0.604978i | \(0.206818\pi\) | |||||||
\(728\) | 1.39846e6 | − | 7.93104e6i | 0.0977959 | − | 0.554628i | ||||
\(729\) | 1.14813e7 | − | 1.98862e7i | 0.800152 | − | 1.38590i | ||||
\(730\) | 1.04061e7 | + | 1.80239e7i | 0.722740 | + | 1.25182i | ||||
\(731\) | 429794. | − | 156432.i | 0.0297486 | − | 0.0108276i | ||||
\(732\) | −844389. | + | 307332.i | −0.0582458 | + | 0.0211997i | ||||
\(733\) | −9.20180e6 | − | 1.59380e7i | −0.632576 | − | 1.09565i | −0.987023 | − | 0.160578i | \(-0.948664\pi\) |
0.354447 | − | 0.935076i | \(-0.384669\pi\) | |||||||
\(734\) | −7.20664e6 | + | 1.24823e7i | −0.493734 | + | 0.855172i | ||||
\(735\) | −6.74948e6 | + | 3.82782e7i | −0.460842 | + | 2.61356i | ||||
\(736\) | 221194. | − | 185604.i | 0.0150515 | − | 0.0126297i | ||||
\(737\) | 81082.4 | + | 68036.2i | 0.00549867 | + | 0.00461393i | ||||
\(738\) | 5.46188e6 | + | 3.09759e7i | 0.369149 | + | 2.09355i | ||||
\(739\) | 1.91984e6 | + | 698765.i | 0.129316 | + | 0.0470674i | 0.405868 | − | 0.913932i | \(-0.366969\pi\) |
−0.276551 | + | 0.960999i | \(0.589192\pi\) | |||||||
\(740\) | 5.76353e6 | 0.386910 | ||||||||
\(741\) | −1.37806e7 | − | 2.39186e7i | −0.921983 | − | 1.60026i | ||||
\(742\) | −4.09940e6 | −0.273345 | ||||||||
\(743\) | 2.00671e7 | + | 7.30384e6i | 1.33356 | + | 0.485377i | 0.907780 | − | 0.419448i | \(-0.137776\pi\) |
0.425784 | + | 0.904825i | \(0.359998\pi\) | |||||||
\(744\) | 758417. | + | 4.30120e6i | 0.0502315 | + | 0.284877i | ||||
\(745\) | −5.42848e6 | − | 4.55503e6i | −0.358333 | − | 0.300677i | ||||
\(746\) | 5.28114e6 | − | 4.43140e6i | 0.347441 | − | 0.291537i | ||||
\(747\) | 5.94479e6 | − | 3.37146e7i | 0.389794 | − | 2.21063i | ||||
\(748\) | −3.92319e6 | + | 6.79517e6i | −0.256381 | + | 0.444065i | ||||
\(749\) | 3.48357e6 | + | 6.03372e6i | 0.226892 | + | 0.392989i | ||||
\(750\) | 2.21026e7 | − | 8.04469e6i | 1.43480 | − | 0.522223i | ||||
\(751\) | 7.86870e6 | − | 2.86397e6i | 0.509100 | − | 0.185297i | −0.0746824 | − | 0.997207i | \(-0.523794\pi\) |
0.583783 | + | 0.811910i | \(0.301572\pi\) | |||||||
\(752\) | −1.73252e6 | − | 3.00081e6i | −0.111721 | − | 0.193506i | ||||
\(753\) | 3.13325e6 | − | 5.42695e6i | 0.201376 | − | 0.348793i | ||||
\(754\) | −2.08212e6 | + | 1.18083e7i | −0.133376 | + | 0.756413i | ||||
\(755\) | 2.30292e7 | − | 1.93238e7i | 1.47032 | − | 1.23374i | ||||
\(756\) | −9.01829e6 | − | 7.56724e6i | −0.573878 | − | 0.481541i | ||||
\(757\) | −282321. | − | 1.60112e6i | −0.0179062 | − | 0.101551i | 0.974545 | − | 0.224193i | \(-0.0719745\pi\) |
−0.992451 | + | 0.122642i | \(0.960863\pi\) | |||||||
\(758\) | −5.04176e6 | − | 1.83505e6i | −0.318720 | − | 0.116005i | ||||
\(759\) | 2.84937e6 | 0.179533 | ||||||||
\(760\) | 1.62542e6 | + | 9.26719e6i | 0.102078 | + | 0.581988i | ||||
\(761\) | −5.87944e6 | −0.368022 | −0.184011 | − | 0.982924i | \(-0.558908\pi\) | ||||
−0.184011 | + | 0.982924i | \(0.558908\pi\) | |||||||
\(762\) | 1.00094e7 | + | 3.64313e6i | 0.624483 | + | 0.227293i | ||||
\(763\) | −4.81033e6 | − | 2.72807e7i | −0.299132 | − | 1.69646i | ||||
\(764\) | 5.19580e6 | + | 4.35979e6i | 0.322047 | + | 0.270229i | ||||
\(765\) | −3.54635e7 | + | 2.97574e7i | −2.19093 | + | 1.83841i | ||||
\(766\) | −733141. | + | 4.15785e6i | −0.0451456 | + | 0.256034i | ||||
\(767\) | −1.03932e7 | + | 1.80015e7i | −0.637912 | + | 1.10490i | ||||
\(768\) | −832221. | − | 1.44145e6i | −0.0509138 | − | 0.0881853i | ||||
\(769\) | 2.06056e6 | − | 749982.i | 0.125652 | − | 0.0457336i | −0.278429 | − | 0.960457i | \(-0.589814\pi\) |
0.404081 | + | 0.914723i | \(0.367591\pi\) | |||||||
\(770\) | −2.54532e7 | + | 9.26420e6i | −1.54709 | + | 0.563094i | ||||
\(771\) | 1.39232e7 | + | 2.41156e7i | 0.843533 | + | 1.46104i | ||||
\(772\) | 4.08604e6 | − | 7.07722e6i | 0.246751 | − | 0.427385i | ||||
\(773\) | −2.60836e6 | + | 1.47927e7i | −0.157007 | + | 0.890430i | 0.799921 | + | 0.600105i | \(0.204874\pi\) |
−0.956928 | + | 0.290325i | \(0.906237\pi\) | |||||||
\(774\) | −457123. | + | 383572.i | −0.0274272 | + | 0.0230141i | ||||
\(775\) | 1.15336e7 | + | 9.67781e6i | 0.689778 | + | 0.578792i | ||||
\(776\) | 1.23981e6 | + | 7.03130e6i | 0.0739094 | + | 0.419161i | ||||
\(777\) | −1.67638e7 | − | 6.10152e6i | −0.996138 | − | 0.362565i | ||||
\(778\) | −1.29925e7 | −0.769562 | ||||||||
\(779\) | −2.35953e7 | + | 1.97625e7i | −1.39310 | + | 1.16680i | ||||
\(780\) | 2.62228e7 | 1.54327 | ||||||||
\(781\) | −8.33404e6 | − | 3.03334e6i | −0.488909 | − | 0.177948i | ||||
\(782\) | 241413. | + | 1.36912e6i | 0.0141170 | + | 0.0800616i | ||||
\(783\) | 1.34271e7 | + | 1.12666e7i | 0.782666 | + | 0.656735i | ||||
\(784\) | 3.21249e6 | − | 2.69560e6i | 0.186660 | − | 0.156626i | ||||
\(785\) | 2.70517e6 | − | 1.53418e7i | 0.156683 | − | 0.888592i | ||||
\(786\) | 1.38196e7 | − | 2.39363e7i | 0.797885 | − | 1.38198i | ||||
\(787\) | 1.10649e7 | + | 1.91650e7i | 0.636812 | + | 1.10299i | 0.986128 | + | 0.165986i | \(0.0530806\pi\) |
−0.349316 | + | 0.937005i | \(0.613586\pi\) | |||||||
\(788\) | −1.10177e7 | + | 4.01011e6i | −0.632085 | + | 0.230060i | ||||
\(789\) | 1.79455e7 | − | 6.53164e6i | 1.02628 | − | 0.373534i | ||||
\(790\) | −1.05680e7 | − | 1.83043e7i | −0.602456 | − | 1.04348i | ||||
\(791\) | 2.14337e7 | − | 3.71243e7i | 1.21803 | − | 2.10968i | ||||
\(792\) | 1.77764e6 | − | 1.00815e7i | 0.100701 | − | 0.571101i | ||||
\(793\) | −1.17006e6 | + | 981798.i | −0.0660732 | + | 0.0554420i | ||||
\(794\) | 1.85546e7 | + | 1.55691e7i | 1.04448 | + | 0.876422i | ||||
\(795\) | −2.31788e6 | − | 1.31454e7i | −0.130069 | − | 0.737657i | ||||
\(796\) | 5.52028e6 | + | 2.00922e6i | 0.308801 | + | 0.112394i | ||||
\(797\) | 1.03614e6 | 0.0577791 | 0.0288895 | − | 0.999583i | \(-0.490803\pi\) | ||||
0.0288895 | + | 0.999583i | \(0.490803\pi\) | |||||||
\(798\) | 5.08295e6 | − | 2.86752e7i | 0.282559 | − | 1.59404i | ||||
\(799\) | 1.66831e7 | 0.924508 | ||||||||
\(800\) | −5.39170e6 | − | 1.96242e6i | −0.297852 | − | 0.108409i | ||||
\(801\) | 1.51489e6 | + | 8.59137e6i | 0.0834257 | + | 0.473131i | ||||
\(802\) | 2.32505e6 | + | 1.95095e6i | 0.127643 | + | 0.107105i | ||||
\(803\) | 1.69742e7 | − | 1.42431e7i | 0.928968 | − | 0.779497i | ||||
\(804\) | 18772.0 | − | 106461.i | 0.00102417 | − | 0.00580834i | ||||
\(805\) | −2.39964e6 | + | 4.15630e6i | −0.130514 | + | 0.226056i | ||||
\(806\) | 3.71198e6 | + | 6.42934e6i | 0.201265 | + | 0.348601i | ||||
\(807\) | −3.84652e7 | + | 1.40002e7i | −2.07914 | + | 0.756746i | ||||
\(808\) | −9.23462e6 | + | 3.36113e6i | −0.497612 | + | 0.181116i | ||||
\(809\) | 1.57596e7 | + | 2.72965e7i | 0.846593 | + | 1.46634i | 0.884231 | + | 0.467050i | \(0.154683\pi\) |
−0.0376384 | + | 0.999291i | \(0.511984\pi\) | |||||||
\(810\) | 912540. | − | 1.58056e6i | 0.0488696 | − | 0.0846447i | ||||
\(811\) | −2.52997e6 | + | 1.43482e7i | −0.135072 | + | 0.766029i | 0.839738 | + | 0.542991i | \(0.182708\pi\) |
−0.974810 | + | 0.223038i | \(0.928403\pi\) | |||||||
\(812\) | −9.69026e6 | + | 8.13109e6i | −0.515757 | + | 0.432772i | ||||
\(813\) | −3.05172e7 | − | 2.56070e7i | −1.61927 | − | 1.35873i | ||||
\(814\) | −1.06555e6 | − | 6.04306e6i | −0.0563657 | − | 0.319666i | ||||
\(815\) | −5.36153e7 | − | 1.95144e7i | −2.82745 | − | 1.02911i | ||||
\(816\) | 8.01379e6 | 0.421321 | ||||||||
\(817\) | −548519. | − | 200206.i | −0.0287499 | − | 0.0104936i | ||||
\(818\) | −1.19239e7 | −0.623065 | ||||||||
\(819\) | −4.75378e7 | − | 1.73024e7i | −2.47645 | − | 0.901354i | ||||
\(820\) | −5.07705e6 | − | 2.87934e7i | −0.263680 | − | 1.49540i | ||||
\(821\) | 1.57556e7 | + | 1.32205e7i | 0.815787 | + | 0.684527i | 0.951982 | − | 0.306155i | \(-0.0990427\pi\) |
−0.136194 | + | 0.990682i | \(0.543487\pi\) | |||||||
\(822\) | 6.45159e6 | − | 5.41353e6i | 0.333033 | − | 0.279448i | ||||
\(823\) | −1.79175e6 | + | 1.01615e7i | −0.0922099 | + | 0.522949i | 0.903357 | + | 0.428890i | \(0.141095\pi\) |
−0.995567 | + | 0.0940586i | \(0.970016\pi\) | |||||||
\(824\) | 576291. | − | 998165.i | 0.0295681 | − | 0.0512135i | ||||
\(825\) | −2.83100e7 | − | 4.90343e7i | −1.44812 | − | 2.50822i | ||||
\(826\) | −2.06068e7 | + | 7.50027e6i | −1.05090 | + | 0.382496i | ||||
\(827\) | 1.09383e7 | − | 3.98120e6i | 0.556140 | − | 0.202418i | −0.0486324 | − | 0.998817i | \(-0.515486\pi\) |
0.604772 | + | 0.796398i | \(0.293264\pi\) | |||||||
\(828\) | −906911. | − | 1.57082e6i | −0.0459715 | − | 0.0796250i | ||||
\(829\) | 3.21588e6 | − | 5.57008e6i | 0.162523 | − | 0.281498i | −0.773250 | − | 0.634101i | \(-0.781370\pi\) |
0.935773 | + | 0.352604i | \(0.114704\pi\) | |||||||
\(830\) | −5.52593e6 | + | 3.13391e7i | −0.278426 | + | 1.57903i | ||||
\(831\) | 3.56716e6 | − | 2.99320e6i | 0.179193 | − | 0.150360i | ||||
\(832\) | −2.16731e6 | − | 1.81859e6i | −0.108546 | − | 0.0910806i | ||||
\(833\) | 3.50612e6 | + | 1.98842e7i | 0.175071 | + | 0.992878i | ||||
\(834\) | 8.59762e6 | + | 3.12928e6i | 0.428019 | + | 0.155786i | ||||
\(835\) | 2.86753e6 | 0.142329 | ||||||||
\(836\) | 9.41614e6 | − | 3.41756e6i | 0.465969 | − | 0.169122i | ||||
\(837\) | 1.08524e7 | 0.535443 | ||||||||
\(838\) | 1.84963e7 | + | 6.73210e6i | 0.909860 | + | 0.331162i | ||||
\(839\) | 1.80456e6 | + | 1.02342e7i | 0.0885046 | + | 0.501934i | 0.996545 | + | 0.0830523i | \(0.0264669\pi\) |
−0.908041 | + | 0.418882i | \(0.862422\pi\) | |||||||
\(840\) | 2.11923e7 | + | 1.77825e7i | 1.03629 | + | 0.869549i | ||||
\(841\) | −1.28491e6 | + | 1.07817e6i | −0.0626447 | + | 0.0525651i | ||||
\(842\) | 484761. | − | 2.74922e6i | 0.0235639 | − | 0.133638i | ||||
\(843\) | −2.93174e7 | + | 5.07793e7i | −1.42088 | + | 2.46103i | ||||
\(844\) | 7.84333e6 | + | 1.35850e7i | 0.379004 | + | 0.656455i | ||||
\(845\) | 9.28926e6 | − | 3.38101e6i | 0.447547 | − | 0.162894i | ||||
\(846\) | −2.04535e7 | + | 7.44448e6i | −0.982523 | + | 0.357609i | ||||
\(847\) | −250598. | − | 434049.i | −0.0120024 | − | 0.0207889i | ||||
\(848\) | −720076. | + | 1.24721e6i | −0.0343866 | + | 0.0595593i | ||||
\(849\) | 1.02467e7 | − | 5.81122e7i | 0.487884 | − | 2.76693i | ||||
\(850\) | 2.11623e7 | − | 1.77573e7i | 1.00465 | − | 0.843004i | ||||
\(851\) | −832874. | − | 698864.i | −0.0394235 | − | 0.0330803i | ||||
\(852\) | 1.57293e6 | + | 8.92051e6i | 0.0742351 | + | 0.421008i | ||||
\(853\) | −3.68896e7 | − | 1.34267e7i | −1.73592 | − | 0.631825i | −0.736901 | − | 0.676001i | \(-0.763712\pi\) |
−0.999024 | + | 0.0441756i | \(0.985934\pi\) | |||||||
\(854\) | −1.61139e6 | −0.0756059 | ||||||||
\(855\) | 5.91020e7 | + | 53425.8i | 2.76495 | + | 0.00249940i | ||||
\(856\) | 2.44761e6 | 0.114172 | ||||||||
\(857\) | −2.81715e7 | − | 1.02536e7i | −1.31026 | − | 0.476896i | −0.409935 | − | 0.912115i | \(-0.634449\pi\) |
−0.900325 | + | 0.435219i | \(0.856671\pi\) | |||||||
\(858\) | −4.84804e6 | − | 2.74946e7i | −0.224827 | − | 1.27505i | ||||
\(859\) | 1.41398e7 | + | 1.18647e7i | 0.653823 | + | 0.548623i | 0.908228 | − | 0.418475i | \(-0.137435\pi\) |
−0.254405 | + | 0.967098i | \(0.581880\pi\) | |||||||
\(860\) | 424916. | − | 356546.i | 0.0195910 | − | 0.0164388i | ||||
\(861\) | −1.57148e7 | + | 8.91231e7i | −0.722439 | + | 4.09715i | ||||
\(862\) | −6.91304e6 | + | 1.19737e7i | −0.316884 | + | 0.548860i | ||||
\(863\) | 1.41254e6 | + | 2.44659e6i | 0.0645614 | + | 0.111824i | 0.896499 | − | 0.443045i | \(-0.146102\pi\) |
−0.831938 | + | 0.554869i | \(0.812768\pi\) | |||||||
\(864\) | −3.88637e6 | + | 1.41452e6i | −0.177117 | + | 0.0644652i | ||||
\(865\) | −843354. | + | 306956.i | −0.0383239 | + | 0.0139488i | ||||
\(866\) | 1.13013e7 | + | 1.95744e7i | 0.512074 | + | 0.886938i | ||||
\(867\) | −1.26170e6 | + | 2.18534e6i | −0.0570046 | + | 0.0987348i | ||||
\(868\) | −1.36004e6 | + | 7.71317e6i | −0.0612707 | + | 0.347483i | ||||
\(869\) | −1.72383e7 | + | 1.44646e7i | −0.774362 | + | 0.649767i | ||||
\(870\) | −3.15526e7 | − | 2.64758e7i | −1.41331 | − | 1.18591i | ||||
\(871\) | −31908.7 | − | 180963.i | −0.00142516 | − | 0.00808249i | ||||
\(872\) | −9.14488e6 | − | 3.32846e6i | −0.407274 | − | 0.148236i | ||||
\(873\) | 4.48496e7 | 1.99170 | ||||||||
\(874\) | 888819. | − | 1.53627e6i | 0.0393582 | − | 0.0680282i | ||||
\(875\) | 4.21795e7 | 1.86244 | ||||||||
\(876\) | −2.12662e7 | − | 7.74027e6i | −0.936332 | − | 0.340797i | ||||
\(877\) | −2.41157e6 | − | 1.36767e7i | −0.105877 | − | 0.600458i | −0.990866 | − | 0.134847i | \(-0.956946\pi\) |
0.884989 | − | 0.465611i | \(-0.154165\pi\) | |||||||
\(878\) | −2.22711e7 | − | 1.86877e7i | −0.975001 | − | 0.818123i | ||||
\(879\) | 2.00523e7 | − | 1.68259e7i | 0.875371 | − | 0.734523i | ||||
\(880\) | −1.65240e6 | + | 9.37120e6i | −0.0719296 | + | 0.407933i | ||||
\(881\) | −1.03189e7 | + | 1.78729e7i | −0.447915 | + | 0.775811i | −0.998250 | − | 0.0591325i | \(-0.981167\pi\) |
0.550335 | + | 0.834944i | \(0.314500\pi\) | |||||||
\(882\) | −1.31714e7 | − | 2.28135e7i | −0.570113 | − | 0.987464i | ||||
\(883\) | 1.56603e7 | − | 5.69988e6i | 0.675925 | − | 0.246017i | 0.0188280 | − | 0.999823i | \(-0.494006\pi\) |
0.657097 | + | 0.753806i | \(0.271784\pi\) | |||||||
\(884\) | 1.28004e7 | − | 4.65895e6i | 0.550923 | − | 0.200520i | ||||
\(885\) | −3.57022e7 | − | 6.18380e7i | −1.53228 | − | 2.65398i | ||||
\(886\) | 3.62593e6 | − | 6.28030e6i | 0.155180 | − | 0.268780i | ||||
\(887\) | −4.21757e6 | + | 2.39190e7i | −0.179992 | + | 1.02078i | 0.752231 | + | 0.658900i | \(0.228978\pi\) |
−0.932223 | + | 0.361885i | \(0.882133\pi\) | |||||||
\(888\) | −4.80096e6 | + | 4.02848e6i | −0.204313 | + | 0.171439i | ||||
\(889\) | 1.46326e7 | + | 1.22782e7i | 0.620963 | + | 0.521050i | ||||
\(890\) | −1.40815e6 | − | 7.98604e6i | −0.0595903 | − | 0.337953i | ||||
\(891\) | −1.82593e6 | − | 664584.i | −0.0770531 | − | 0.0280450i | ||||
\(892\) | −8.78600e6 | −0.369725 | ||||||||
\(893\) | −1.63033e7 | − | 1.37053e7i | −0.684144 | − | 0.575120i | ||||
\(894\) | 7.70564e6 | 0.322452 | ||||||||
\(895\) | 4.57205e7 | + | 1.66409e7i | 1.90789 | + | 0.694415i | ||||
\(896\) | −518302. | − | 2.93943e6i | −0.0215681 | − | 0.122319i | ||||
\(897\) | −3.78939e6 | − | 3.17968e6i | −0.157249 | − | 0.131948i | ||||
\(898\) | 8.45923e6 | − | 7.09814e6i | 0.350058 | − | 0.293734i | ||||
\(899\) | 2.02492e6 | − | 1.14839e7i | 0.0835621 | − | 0.473904i | ||||
\(900\) | −1.80212e7 | + | 3.12137e7i | −0.741615 | + | 1.28451i | ||||
\(901\) | −3.46695e6 | − | 6.00494e6i | −0.142277 | − | 0.246432i | ||||
\(902\) | −2.92512e7 | + | 1.06466e7i | −1.19709 | + | 0.435706i | ||||
\(903\) | −1.61336e6 | + | 587216.i | −0.0658434 | + | 0.0239651i | ||||
\(904\) | −7.52984e6 | − | 1.30421e7i | −0.306454 | − | 0.530793i | ||||
\(905\) | 1.20806e7 | − | 2.09242e7i | 0.490306 | − | 0.849235i | ||||
\(906\) | −5.67649e6 | + | 3.21929e7i | −0.229752 | + | 1.30299i | ||||
\(907\) | 2.86275e7 | − | 2.40214e7i | 1.15549 | − | 0.969571i | 0.155656 | − | 0.987811i | \(-0.450251\pi\) |
0.999834 | + | 0.0182406i | \(0.00580650\pi\) | |||||||
\(908\) | 6.09246e6 | + | 5.11218e6i | 0.245233 | + | 0.205775i | ||||
\(909\) | 1.07196e7 | + | 6.07938e7i | 0.430297 | + | 2.44034i | ||||
\(910\) | 4.41884e7 | + | 1.60833e7i | 1.76891 | + | 0.643829i | ||||
\(911\) | −2.05225e7 | −0.819285 | −0.409642 | − | 0.912246i | \(-0.634347\pi\) | ||||
−0.409642 | + | 0.912246i | \(0.634347\pi\) | |||||||
\(912\) | −7.83136e6 | − | 6.58336e6i | −0.311781 | − | 0.262096i | ||||
\(913\) | 3.38807e7 | 1.34516 | ||||||||
\(914\) | −2.89138e7 | − | 1.05238e7i | −1.14483 | − | 0.416683i | ||||
\(915\) | −911109. | − | 5.16716e6i | −0.0359764 | − | 0.204032i | ||||
\(916\) | 4.32119e6 | + | 3.62591e6i | 0.170163 | + | 0.142784i | ||||
\(917\) | 3.79685e7 | − | 3.18594e7i | 1.49108 | − | 1.25116i | ||||
\(918\) | 3.45778e6 | − | 1.96101e7i | 0.135423 | − | 0.768019i | ||||
\(919\) | −4.85432e6 | + | 8.40793e6i | −0.189601 | + | 0.328398i | −0.945117 | − | 0.326732i | \(-0.894053\pi\) |
0.755516 | + | 0.655130i | \(0.227386\pi\) | |||||||
\(920\) | 843012. | + | 1.46014e6i | 0.0328370 | + | 0.0568754i | ||||
\(921\) | −4.01502e7 | + | 1.46135e7i | −1.55969 | + | 0.567681i | ||||
\(922\) | 2.18428e7 | − | 7.95013e6i | 0.846216 | − | 0.307997i | ||||
\(923\) | 7.69850e6 | + | 1.33342e7i | 0.297442 | + | 0.515184i | ||||
\(924\) | 1.47269e7 | − | 2.55077e7i | 0.567455 | − | 0.982861i | ||||
\(925\) | −3.75159e6 | + | 2.12763e7i | −0.144165 | + | 0.817603i | ||||
\(926\) | 1.24195e7 | − | 1.04212e7i | 0.475965 | − | 0.399382i | ||||
\(927\) | −5.54626e6 | − | 4.65386e6i | −0.211983 | − | 0.177875i | ||||
\(928\) | 771684. | + | 4.37644e6i | 0.0294150 | + | 0.166821i | ||||
\(929\) | −2.24337e7 | − | 8.16521e6i | −0.852829 | − | 0.310404i | −0.121636 | − | 0.992575i | \(-0.538814\pi\) |
−0.731193 | + | 0.682170i | \(0.761036\pi\) | |||||||
\(930\) | −2.55024e7 | −0.966884 | ||||||||
\(931\) | 1.29087e7 | − | 2.23118e7i | 0.488098 | − | 0.843648i | ||||
\(932\) | −1.31691e7 | −0.496611 | ||||||||
\(933\) | 1.65547e7 | + | 6.02542e6i | 0.622612 | + | 0.226612i | ||||
\(934\) | 4.20663e6 | + | 2.38570e7i | 0.157785 | + | 0.894846i | ||||
\(935\) | −3.50968e7 | − | 2.94497e7i | −1.31292 | − | 1.10167i | ||||
\(936\) | −1.36143e7 | + | 1.14237e7i | −0.507932 | + | 0.426205i | ||||
\(937\) | 5.54122e6 | − | 3.14258e7i | 0.206185 | − | 1.16933i | −0.689380 | − | 0.724400i | \(-0.742117\pi\) |
0.895565 | − | 0.444931i | \(-0.146772\pi\) | |||||||
\(938\) | 96929.2 | − | 167886.i | 0.00359706 | − | 0.00623029i | ||||
\(939\) | 1.93531e7 | + | 3.35206e7i | 0.716288 | + | 1.24065i | ||||
\(940\) | 1.90124e7 | − | 6.91996e6i | 0.701807 | − | 0.255437i | ||||
\(941\) | −1.64295e7 | + | 5.97986e6i | −0.604854 | + | 0.220149i | −0.626250 | − | 0.779622i | \(-0.715411\pi\) |
0.0213959 | + | 0.999771i | \(0.493189\pi\) | |||||||
\(942\) | 8.46993e6 | + | 1.46704e7i | 0.310995 | + | 0.538658i | ||||
\(943\) | −2.75771e6 | + | 4.77649e6i | −0.100988 | + | 0.174916i | ||||
\(944\) | −1.33777e6 | + | 7.58690e6i | −0.0488599 | + | 0.277098i | ||||
\(945\) | 5.26584e7 | − | 4.41857e7i | 1.91818 | − | 1.60954i | ||||
\(946\) | −452396. | − | 379606.i | −0.0164358 | − | 0.0137913i | ||||
\(947\) | −153533. | − | 870731.i | −0.00556324 | − | 0.0315507i | 0.981900 | − | 0.189401i | \(-0.0606547\pi\) |
−0.987463 | + | 0.157851i | \(0.949544\pi\) | |||||||
\(948\) | 2.15970e7 | + | 7.86068e6i | 0.780501 | + | 0.284079i | ||||
\(949\) | −3.84682e7 | −1.38655 | ||||||||
\(950\) | −3.52683e7 | − | 31881.1i | −1.26787 | − | 0.00114610i | ||||
\(951\) | 3.80469e7 | 1.36417 | ||||||||
\(952\) | 1.35042e7 | + | 4.91511e6i | 0.482920 | + | 0.175769i | ||||
\(953\) | 125838. | + | 713661.i | 0.00448826 | + | 0.0254542i | 0.986970 | − | 0.160907i | \(-0.0514418\pi\) |
−0.982481 | + | 0.186361i | \(0.940331\pi\) | |||||||
\(954\) | 6.93006e6 | + | 5.81501e6i | 0.246528 | + | 0.206861i | ||||
\(955\) | −3.03386e7 | + | 2.54571e7i | −1.07643 | + | 0.903236i | ||||
\(956\) | 3.24682e6 | − | 1.84136e7i | 0.114898 | − | 0.651621i | ||||
\(957\) | −2.19264e7 | + | 3.79777e7i | −0.773906 | + | 1.34044i | ||||
\(958\) | −7.98015e6 | − | 1.38220e7i | −0.280929 | − | 0.486584i | ||||
\(959\) | 1.41920e7 | − | 5.16545e6i | 0.498306 | − | 0.181368i | ||||
\(960\) | 9.13268e6 | − | 3.32402e6i | 0.319831 | − | 0.116409i | ||||
\(961\) | 1.07046e7 | + | 1.85408e7i | 0.373904 | + | 0.647621i | ||||
\(962\) | −5.32650e6 | + | 9.22577e6i | −0.185568 | + | 0.321414i | ||||
\(963\) | 2.66985e6 | − | 1.51415e7i | 0.0927730 | − | 0.526142i | ||||
\(964\) | −2.18273e6 | + | 1.83153e6i | −0.0756499 | + | 0.0634778i | ||||
\(965\) | 3.65536e7 | + | 3.06721e7i | 1.26361 | + | 1.06029i | ||||
\(966\) | −906215. | − | 5.13940e6i | −0.0312456 | − | 0.177202i | ||||
\(967\) | 1.67471e7 | + | 6.09544e6i | 0.575934 | + | 0.209623i | 0.613532 | − | 0.789670i | \(-0.289748\pi\) |
−0.0375975 | + | 0.999293i | \(0.511970\pi\) | |||||||
\(968\) | −176074. | −0.00603959 | ||||||||
\(969\) | 4.63032e7 | − | 1.68056e7i | 1.58417 | − | 0.574969i | ||||
\(970\) | −4.16896e7 | −1.42265 | ||||||||
\(971\) | 1.35287e7 | + | 4.92406e6i | 0.460479 | + | 0.167601i | 0.561834 | − | 0.827250i | \(-0.310096\pi\) |
−0.101356 | + | 0.994850i | \(0.532318\pi\) | |||||||
\(972\) | −2.38219e6 | − | 1.35101e7i | −0.0808743 | − | 0.458661i | ||||
\(973\) | 1.25687e7 | + | 1.05464e7i | 0.425606 | + | 0.357126i | ||||
\(974\) | 2.32074e7 | − | 1.94733e7i | 0.783842 | − | 0.657722i | ||||
\(975\) | −1.70689e7 | + | 9.68026e7i | −0.575035 | + | 3.26118i | ||||
\(976\) | −283047. | + | 490251.i | −0.00951116 | + | 0.0164738i | ||||
\(977\) | 3.63560e6 | + | 6.29705e6i | 0.121854 | + | 0.211058i | 0.920499 | − | 0.390745i | \(-0.127783\pi\) |
−0.798645 | + | 0.601803i | \(0.794449\pi\) | |||||||
\(978\) | 5.83007e7 | − | 2.12197e7i | 1.94907 | − | 0.709402i | ||||
\(979\) | −8.11302e6 | + | 2.95290e6i | −0.270536 | + | 0.0984672i | ||||
\(980\) | 1.22434e7 | + | 2.12062e7i | 0.407227 | + | 0.705337i | ||||
\(981\) | −3.05659e7 | + | 5.29416e7i | −1.01406 | + | 1.75641i | ||||
\(982\) | −1.06063e6 | + | 6.01515e6i | −0.0350983 | + | 0.199053i | ||||
\(983\) | −2.32329e7 | + | 1.94947e7i | −0.766866 | + | 0.643477i | −0.939904 | − | 0.341438i | \(-0.889086\pi\) |
0.173038 | + | 0.984915i | \(0.444642\pi\) | |||||||
\(984\) | 2.43546e7 | + | 2.04359e7i | 0.801849 | + | 0.672831i | ||||
\(985\) | −1.18883e7 | − | 6.74217e7i | −0.390417 | − | 2.21416i | ||||
\(986\) | −2.01059e7 | − | 7.31796e6i | −0.658616 | − | 0.239717i | ||||
\(987\) | −6.26252e7 | −2.04624 | ||||||||
\(988\) | −1.63363e7 | − | 5.96265e6i | −0.532428 | − | 0.194333i | ||||
\(989\) | −104637. | −0.00340169 | ||||||||
\(990\) | 5.61700e7 | + | 2.04442e7i | 1.82145 | + | 0.662952i | ||||
\(991\) | −8.04912e6 | − | 4.56488e7i | −0.260354 | − | 1.47654i | −0.781946 | − | 0.623346i | \(-0.785773\pi\) |
0.521592 | − | 0.853195i | \(-0.325338\pi\) | |||||||
\(992\) | 2.10777e6 | + | 1.76863e6i | 0.0680055 | + | 0.0570634i | ||||
\(993\) | 9.94613e6 | − | 8.34579e6i | 0.320097 | − | 0.268593i | ||||
\(994\) | −2.82067e6 | + | 1.59968e7i | −0.0905495 | + | 0.513532i | ||||
\(995\) | −1.71510e7 | + | 2.97064e7i | −0.549201 | + | 0.951243i | ||||
\(996\) | −1.73018e7 | − | 2.99676e7i | −0.552640 | − | 0.957200i | ||||
\(997\) | −8.07373e6 | + | 2.93860e6i | −0.257239 | + | 0.0936272i | −0.467421 | − | 0.884035i | \(-0.654817\pi\) |
0.210182 | + | 0.977662i | \(0.432594\pi\) | |||||||
\(998\) | −5.49513e6 | + | 2.00006e6i | −0.174643 | + | 0.0635649i | ||||
\(999\) | 7.78634e6 | + | 1.34863e7i | 0.246842 | + | 0.427543i |
(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 | 38.6.e.b.23.5 | yes | 30 | |
19.5 | even | 9 | inner | 38.6.e.b.5.5 | ✓ | 30 | |
19.9 | even | 9 | 722.6.a.r.1.13 | 15 | |||
19.10 | odd | 18 | 722.6.a.q.1.3 | 15 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.6.e.b.5.5 | ✓ | 30 | 19.5 | even | 9 | inner | |
38.6.e.b.23.5 | yes | 30 | 1.1 | even | 1 | trivial | |
722.6.a.q.1.3 | 15 | 19.10 | odd | 18 | |||
722.6.a.r.1.13 | 15 | 19.9 | even | 9 |