Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [36,6,Mod(11,36)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(36, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("36.11");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 36 = 2^{2} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 36.h (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.77381751327\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 36.11 |
Dual form | 36.6.h.a.23.3 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.49437 | − | 1.34609i | −0.971276 | − | 0.237957i | ||||
\(3\) | 13.5204 | + | 7.75878i | 0.867335 | + | 0.497726i | ||||
\(4\) | 28.3761 | + | 14.7918i | 0.886753 | + | 0.462243i | ||||
\(5\) | −27.3241 | + | 15.7756i | −0.488788 | + | 0.282202i | −0.724072 | − | 0.689725i | \(-0.757732\pi\) |
0.235283 | + | 0.971927i | \(0.424398\pi\) | |||||||
\(6\) | −63.8421 | − | 60.8292i | −0.723984 | − | 0.689817i | ||||
\(7\) | 2.81745 | + | 1.62665i | 0.0217325 | + | 0.0125473i | 0.510827 | − | 0.859684i | \(-0.329339\pi\) |
−0.489094 | + | 0.872231i | \(0.662673\pi\) | |||||||
\(8\) | −135.998 | − | 119.468i | −0.751288 | − | 0.659975i | ||||
\(9\) | 122.603 | + | 209.804i | 0.504538 | + | 0.863389i | ||||
\(10\) | 171.364 | − | 49.8961i | 0.541900 | − | 0.157785i | ||||
\(11\) | −244.292 | + | 423.126i | −0.608734 | + | 1.05436i | 0.382715 | + | 0.923866i | \(0.374989\pi\) |
−0.991449 | + | 0.130492i | \(0.958344\pi\) | |||||||
\(12\) | 268.890 | + | 420.155i | 0.539041 | + | 0.842279i | ||||
\(13\) | 514.329 | + | 890.844i | 0.844078 | + | 1.46199i | 0.886419 | + | 0.462883i | \(0.153185\pi\) |
−0.0423410 | + | 0.999103i | \(0.513482\pi\) | |||||||
\(14\) | −13.2905 | − | 12.7300i | −0.0181226 | − | 0.0173583i | ||||
\(15\) | −491.832 | + | 1.29066i | −0.564402 | + | 0.00148110i | ||||
\(16\) | 586.406 | + | 839.467i | 0.572662 | + | 0.819792i | ||||
\(17\) | 544.497i | 0.456955i | 0.973549 | + | 0.228478i | \(0.0733748\pi\) | ||||
−0.973549 | + | 0.228478i | \(0.926625\pi\) | |||||||
\(18\) | −391.211 | − | 1317.77i | −0.284596 | − | 0.958647i | ||||
\(19\) | − | 1086.90i | − | 0.690724i | −0.938470 | − | 0.345362i | \(-0.887756\pi\) | ||
0.938470 | − | 0.345362i | \(-0.112244\pi\) | |||||||
\(20\) | −1008.70 | + | 43.4770i | −0.563881 | + | 0.0243044i | ||||
\(21\) | 25.4722 | + | 43.8530i | 0.0126043 | + | 0.0216995i | ||||
\(22\) | 1911.79 | − | 1995.97i | 0.842140 | − | 0.879220i | ||||
\(23\) | −969.831 | − | 1679.80i | −0.382275 | − | 0.662121i | 0.609112 | − | 0.793084i | \(-0.291526\pi\) |
−0.991387 | + | 0.130964i | \(0.958193\pi\) | |||||||
\(24\) | −911.816 | − | 2670.43i | −0.323131 | − | 0.946354i | ||||
\(25\) | −1064.76 | + | 1844.22i | −0.340724 | + | 0.590151i | ||||
\(26\) | −1626.76 | − | 5586.95i | −0.471943 | − | 1.62085i | ||||
\(27\) | 29.8209 | + | 3787.88i | 0.00787247 | + | 0.999969i | ||||
\(28\) | 55.8870 | + | 87.8332i | 0.0134715 | + | 0.0211721i | ||||
\(29\) | −271.322 | − | 156.648i | −0.0599087 | − | 0.0345883i | 0.469746 | − | 0.882801i | \(-0.344345\pi\) |
−0.529655 | + | 0.848213i | \(0.677679\pi\) | |||||||
\(30\) | 2704.04 | + | 654.957i | 0.548543 | + | 0.132865i | ||||
\(31\) | 4990.16 | − | 2881.07i | 0.932631 | − | 0.538455i | 0.0449884 | − | 0.998988i | \(-0.485675\pi\) |
0.887643 | + | 0.460533i | \(0.152342\pi\) | |||||||
\(32\) | −2091.93 | − | 5401.69i | −0.361138 | − | 0.932512i | ||||
\(33\) | −6585.87 | + | 3825.43i | −1.05276 | + | 0.611499i | ||||
\(34\) | 732.941 | − | 2991.67i | 0.108736 | − | 0.443829i | ||||
\(35\) | −102.646 | −0.0141635 | ||||||||
\(36\) | 375.619 | + | 7766.92i | 0.0483049 | + | 0.998833i | ||||
\(37\) | 9789.25 | 1.17556 | 0.587780 | − | 0.809021i | \(-0.300002\pi\) | ||||
0.587780 | + | 0.809021i | \(0.300002\pi\) | |||||||
\(38\) | −1463.06 | + | 5971.81i | −0.164362 | + | 0.670883i | ||||
\(39\) | 42.0792 | + | 16035.1i | 0.00443003 | + | 1.68815i | ||||
\(40\) | 5600.69 | + | 1118.92i | 0.553467 | + | 0.110573i | ||||
\(41\) | 8802.77 | − | 5082.28i | 0.817823 | − | 0.472171i | −0.0318420 | − | 0.999493i | \(-0.510137\pi\) |
0.849665 | + | 0.527322i | \(0.176804\pi\) | |||||||
\(42\) | −80.9236 | − | 275.232i | −0.00707867 | − | 0.0240755i | ||||
\(43\) | −16506.0 | − | 9529.76i | −1.36136 | − | 0.785979i | −0.371551 | − | 0.928413i | \(-0.621174\pi\) |
−0.989804 | + | 0.142434i | \(0.954507\pi\) | |||||||
\(44\) | −13190.8 | + | 8393.16i | −1.02717 | + | 0.653572i | ||||
\(45\) | −6659.78 | − | 3798.56i | −0.490263 | − | 0.279633i | ||||
\(46\) | 3067.45 | + | 10534.9i | 0.213739 | + | 0.734067i | ||||
\(47\) | 11221.8 | − | 19436.8i | 0.741000 | − | 1.28345i | −0.211040 | − | 0.977477i | \(-0.567685\pi\) |
0.952040 | − | 0.305973i | \(-0.0989817\pi\) | |||||||
\(48\) | 1415.21 | + | 15899.7i | 0.0886583 | + | 0.996062i | ||||
\(49\) | −8398.21 | − | 14546.1i | −0.499685 | − | 0.865480i | ||||
\(50\) | 8332.68 | − | 8699.57i | 0.471368 | − | 0.492122i | ||||
\(51\) | −4224.63 | + | 7361.83i | −0.227438 | + | 0.396333i | ||||
\(52\) | 1417.47 | + | 32886.5i | 0.0726954 | + | 1.68659i | ||||
\(53\) | 11691.5i | 0.571717i | 0.958272 | + | 0.285858i | \(0.0922787\pi\) | ||||
−0.958272 | + | 0.285858i | \(0.907721\pi\) | |||||||
\(54\) | 4934.97 | − | 20852.1i | 0.230303 | − | 0.973119i | ||||
\(55\) | − | 15415.4i | − | 0.687144i | ||||||
\(56\) | −188.833 | − | 557.816i | −0.00804650 | − | 0.0237696i | ||||
\(57\) | 8432.99 | − | 14695.3i | 0.343791 | − | 0.599089i | ||||
\(58\) | 1279.88 | + | 1225.90i | 0.0499573 | + | 0.0478505i | ||||
\(59\) | 19276.6 | + | 33388.1i | 0.720942 | + | 1.24871i | 0.960622 | + | 0.277857i | \(0.0896242\pi\) |
−0.239680 | + | 0.970852i | \(0.577043\pi\) | |||||||
\(60\) | −13975.4 | − | 7238.45i | −0.501170 | − | 0.259578i | ||||
\(61\) | 3811.30 | − | 6601.36i | 0.131144 | − | 0.227148i | −0.792974 | − | 0.609256i | \(-0.791468\pi\) |
0.924118 | + | 0.382108i | \(0.124802\pi\) | |||||||
\(62\) | −31295.9 | + | 9112.46i | −1.03397 | + | 0.301062i | ||||
\(63\) | 4.14910 | + | 790.543i | 0.000131705 | + | 0.0250942i | ||||
\(64\) | 4222.70 | + | 32494.8i | 0.128867 | + | 0.991662i | ||||
\(65\) | −28107.2 | − | 16227.7i | −0.825151 | − | 0.476401i | ||||
\(66\) | 41334.5 | − | 12153.2i | 1.16803 | − | 0.343423i | ||||
\(67\) | −4430.73 | + | 2558.08i | −0.120584 | + | 0.0696189i | −0.559079 | − | 0.829115i | \(-0.688845\pi\) |
0.438495 | + | 0.898734i | \(0.355512\pi\) | |||||||
\(68\) | −8054.09 | + | 15450.7i | −0.211224 | + | 0.405206i | ||||
\(69\) | −79.3456 | − | 30236.2i | −0.00200632 | − | 0.764548i | ||||
\(70\) | 563.972 | + | 138.170i | 0.0137566 | + | 0.00337030i | ||||
\(71\) | 65091.6 | 1.53242 | 0.766212 | − | 0.642588i | \(-0.222139\pi\) | ||||
0.766212 | + | 0.642588i | \(0.222139\pi\) | |||||||
\(72\) | 8391.17 | − | 43179.9i | 0.190762 | − | 0.981636i | ||||
\(73\) | 12156.6 | 0.266996 | 0.133498 | − | 0.991049i | \(-0.457379\pi\) | ||||
0.133498 | + | 0.991049i | \(0.457379\pi\) | |||||||
\(74\) | −53785.7 | − | 13177.2i | −1.14179 | − | 0.279733i | ||||
\(75\) | −28704.9 | + | 16673.4i | −0.589255 | + | 0.342272i | ||||
\(76\) | 16077.2 | − | 30841.9i | 0.319283 | − | 0.612501i | ||||
\(77\) | −1376.56 | + | 794.757i | −0.0264587 | + | 0.0152759i | ||||
\(78\) | 21353.5 | − | 88159.6i | 0.397404 | − | 1.64071i | ||||
\(79\) | −64990.0 | − | 37522.0i | −1.17160 | − | 0.676423i | −0.217542 | − | 0.976051i | \(-0.569804\pi\) |
−0.954056 | + | 0.299628i | \(0.903137\pi\) | |||||||
\(80\) | −29266.1 | − | 13686.8i | −0.511257 | − | 0.239098i | ||||
\(81\) | −28986.1 | + | 51445.0i | −0.490882 | + | 0.871226i | ||||
\(82\) | −55206.8 | + | 16074.6i | −0.906688 | + | 0.264001i | ||||
\(83\) | 25579.5 | − | 44304.9i | 0.407564 | − | 0.705922i | −0.587052 | − | 0.809549i | \(-0.699711\pi\) |
0.994616 | + | 0.103627i | \(0.0330448\pi\) | |||||||
\(84\) | 74.1376 | + | 1621.15i | 0.00114641 | + | 0.0250684i | ||||
\(85\) | −8589.76 | − | 14877.9i | −0.128954 | − | 0.223354i | ||||
\(86\) | 77862.3 | + | 74578.5i | 1.13522 | + | 1.08735i | ||||
\(87\) | −2452.99 | − | 4223.07i | −0.0347454 | − | 0.0598177i | ||||
\(88\) | 83773.3 | − | 28359.0i | 1.15318 | − | 0.390377i | ||||
\(89\) | 126726.i | 1.69587i | 0.530104 | + | 0.847933i | \(0.322153\pi\) | ||||
−0.530104 | + | 0.847933i | \(0.677847\pi\) | |||||||
\(90\) | 31478.1 | + | 29835.3i | 0.409640 | + | 0.388262i | ||||
\(91\) | 3346.54i | 0.0423636i | ||||||||
\(92\) | −2672.82 | − | 62011.6i | −0.0329231 | − | 0.763842i | ||||
\(93\) | 89822.5 | − | 235.711i | 1.07691 | − | 0.00282601i | ||||
\(94\) | −87820.3 | + | 91687.1i | −1.02512 | + | 1.07026i | ||||
\(95\) | 17146.4 | + | 29698.5i | 0.194924 | + | 0.337618i | ||||
\(96\) | 13626.7 | − | 89263.9i | 0.150908 | − | 0.988548i | ||||
\(97\) | −30959.8 | + | 53624.0i | −0.334094 | + | 0.578668i | −0.983310 | − | 0.181936i | \(-0.941764\pi\) |
0.649216 | + | 0.760604i | \(0.275097\pi\) | |||||||
\(98\) | 26562.5 | + | 91226.4i | 0.279385 | + | 0.959523i | ||||
\(99\) | −118724. | + | 623.114i | −1.21745 | + | 0.00638969i | ||||
\(100\) | −57493.2 | + | 36582.1i | −0.574932 | + | 0.365821i | ||||
\(101\) | 75740.7 | + | 43728.9i | 0.738798 | + | 0.426545i | 0.821632 | − | 0.570018i | \(-0.193064\pi\) |
−0.0828340 | + | 0.996563i | \(0.526397\pi\) | |||||||
\(102\) | 33121.3 | − | 34761.8i | 0.315215 | − | 0.330828i | ||||
\(103\) | −92372.6 | + | 53331.3i | −0.857926 | + | 0.495324i | −0.863317 | − | 0.504661i | \(-0.831617\pi\) |
0.00539101 | + | 0.999985i | \(0.498284\pi\) | |||||||
\(104\) | 36480.0 | − | 182599.i | 0.330728 | − | 1.65544i | ||||
\(105\) | −1387.81 | − | 796.404i | −0.0122845 | − | 0.00704953i | ||||
\(106\) | 15737.8 | − | 64237.4i | 0.136044 | − | 0.555295i | ||||
\(107\) | −26946.6 | −0.227533 | −0.113767 | − | 0.993508i | \(-0.536292\pi\) | ||||
−0.113767 | + | 0.993508i | \(0.536292\pi\) | |||||||
\(108\) | −55183.3 | + | 107926.i | −0.455248 | + | 0.890365i | ||||
\(109\) | 71302.9 | 0.574832 | 0.287416 | − | 0.957806i | \(-0.407204\pi\) | ||||
0.287416 | + | 0.957806i | \(0.407204\pi\) | |||||||
\(110\) | −20750.5 | + | 84697.8i | −0.163511 | + | 0.667406i | ||||
\(111\) | 132355. | + | 75952.6i | 1.01960 | + | 0.585107i | ||||
\(112\) | 286.646 | + | 3319.03i | 0.00215924 | + | 0.0250015i | ||||
\(113\) | 32800.9 | − | 18937.6i | 0.241651 | − | 0.139517i | −0.374284 | − | 0.927314i | \(-0.622112\pi\) |
0.615935 | + | 0.787797i | \(0.288778\pi\) | |||||||
\(114\) | −66115.1 | + | 69389.8i | −0.476473 | + | 0.500073i | ||||
\(115\) | 52999.5 | + | 30599.3i | 0.373704 | + | 0.215758i | ||||
\(116\) | −5381.96 | − | 8458.39i | −0.0371360 | − | 0.0583637i | ||||
\(117\) | −123844. | + | 217128.i | −0.836394 | + | 1.46640i | ||||
\(118\) | −60969.5 | − | 209394.i | −0.403095 | − | 1.38439i | ||||
\(119\) | −885.709 | + | 1534.09i | −0.00573355 | + | 0.00993080i | ||||
\(120\) | 67042.2 | + | 58582.8i | 0.425006 | + | 0.371378i | ||||
\(121\) | −38831.7 | − | 67258.5i | −0.241114 | − | 0.417622i | ||||
\(122\) | −29826.7 | + | 31140.0i | −0.181428 | + | 0.189417i | ||||
\(123\) | 158449. | − | 415.801i | 0.944338 | − | 0.00247812i | ||||
\(124\) | 184217. | − | 7940.13i | 1.07591 | − | 0.0463739i | ||||
\(125\) | − | 165786.i | − | 0.949016i | ||||||
\(126\) | 1041.34 | − | 4349.12i | 0.00584342 | − | 0.0244048i | ||||
\(127\) | − | 66387.5i | − | 0.365239i | −0.983184 | − | 0.182619i | \(-0.941542\pi\) | ||
0.983184 | − | 0.182619i | \(-0.0584576\pi\) | |||||||
\(128\) | 20539.7 | − | 184222.i | 0.110808 | − | 0.993842i | ||||
\(129\) | −149229. | − | 256913.i | −0.789548 | − | 1.35929i | ||||
\(130\) | 132587. | + | 126995.i | 0.688086 | + | 0.659067i | ||||
\(131\) | −28167.3 | − | 48787.1i | −0.143406 | − | 0.248386i | 0.785371 | − | 0.619025i | \(-0.212472\pi\) |
−0.928777 | + | 0.370639i | \(0.879139\pi\) | |||||||
\(132\) | −243466. | + | 11134.0i | −1.21620 | + | 0.0556183i | ||||
\(133\) | 1768.01 | − | 3062.27i | 0.00866671 | − | 0.0150112i | ||||
\(134\) | 27787.4 | − | 8090.89i | 0.133686 | − | 0.0389255i | ||||
\(135\) | −60570.8 | − | 103030.i | −0.286041 | − | 0.486552i | ||||
\(136\) | 65050.1 | − | 74050.4i | 0.301579 | − | 0.343305i | ||||
\(137\) | −364985. | − | 210724.i | −1.66140 | − | 0.959207i | −0.972050 | − | 0.234775i | \(-0.924565\pi\) |
−0.689346 | − | 0.724432i | \(-0.742102\pi\) | |||||||
\(138\) | −40264.7 | + | 166236.i | −0.179981 | + | 0.743065i | ||||
\(139\) | 332509. | − | 191974.i | 1.45971 | − | 0.842764i | 0.460713 | − | 0.887549i | \(-0.347594\pi\) |
0.998997 | + | 0.0447857i | \(0.0142605\pi\) | |||||||
\(140\) | −2912.68 | − | 1518.31i | −0.0125595 | − | 0.00654698i | ||||
\(141\) | 302529. | − | 175725.i | 1.28150 | − | 0.744366i | ||||
\(142\) | −357637. | − | 87618.9i | −1.48841 | − | 0.364651i | ||||
\(143\) | −502586. | −2.05528 | ||||||||
\(144\) | −104228. | + | 225951.i | −0.418869 | + | 0.908047i | ||||
\(145\) | 9884.83 | 0.0390435 | ||||||||
\(146\) | −66792.8 | − | 16363.8i | −0.259327 | − | 0.0635336i | ||||
\(147\) | −687.090 | − | 261829.i | −0.00262253 | − | 0.999367i | ||||
\(148\) | 277781. | + | 144800.i | 1.04243 | + | 0.543395i | ||||
\(149\) | 283272. | − | 163547.i | 1.04529 | − | 0.603499i | 0.123964 | − | 0.992287i | \(-0.460439\pi\) |
0.921327 | + | 0.388788i | \(0.127106\pi\) | |||||||
\(150\) | 180159. | − | 52970.4i | 0.653775 | − | 0.192223i | ||||
\(151\) | 376668. | + | 217470.i | 1.34436 | + | 0.776169i | 0.987444 | − | 0.157967i | \(-0.0504938\pi\) |
0.356919 | + | 0.934135i | \(0.383827\pi\) | |||||||
\(152\) | −129850. | + | 147815.i | −0.455860 | + | 0.518932i | ||||
\(153\) | −114238. | + | 66756.9i | −0.394530 | + | 0.230551i | ||||
\(154\) | 8633.13 | − | 2513.72i | 0.0293337 | − | 0.00854111i | ||||
\(155\) | −90901.0 | + | 157445.i | −0.303906 | + | 0.526381i | ||||
\(156\) | −235994. | + | 455637.i | −0.776408 | + | 1.49902i | ||||
\(157\) | −6799.06 | − | 11776.3i | −0.0220140 | − | 0.0381294i | 0.854809 | − | 0.518944i | \(-0.173675\pi\) |
−0.876823 | + | 0.480814i | \(0.840341\pi\) | |||||||
\(158\) | 306571. | + | 293642.i | 0.976986 | + | 0.935783i | ||||
\(159\) | −90711.8 | + | 158074.i | −0.284558 | + | 0.495870i | ||||
\(160\) | 142375. | + | 114595.i | 0.439677 | + | 0.353887i | ||||
\(161\) | − | 6310.32i | − | 0.0191861i | ||||||
\(162\) | 228510. | − | 243640.i | 0.684096 | − | 0.729392i | ||||
\(163\) | 473364.i | 1.39549i | 0.716347 | + | 0.697744i | \(0.245813\pi\) | ||||
−0.716347 | + | 0.697744i | \(0.754187\pi\) | |||||||
\(164\) | 324964. | − | 14006.6i | 0.943465 | − | 0.0406652i | ||||
\(165\) | 119605. | − | 208422.i | 0.342009 | − | 0.595984i | ||||
\(166\) | −200181. | + | 208995.i | −0.563837 | + | 0.588663i | ||||
\(167\) | −74868.1 | − | 129675.i | −0.207733 | − | 0.359804i | 0.743267 | − | 0.668995i | \(-0.233275\pi\) |
−0.951000 | + | 0.309191i | \(0.899942\pi\) | |||||||
\(168\) | 1774.88 | − | 9007.01i | 0.00485171 | − | 0.0246211i | ||||
\(169\) | −343422. | + | 594825.i | −0.924936 | + | 1.60204i | ||||
\(170\) | 27168.3 | + | 93307.2i | 0.0721009 | + | 0.247624i | ||||
\(171\) | 228035. | − | 133257.i | 0.596364 | − | 0.348497i | ||||
\(172\) | −327414. | − | 514571.i | −0.843872 | − | 1.32625i | ||||
\(173\) | 147188. | + | 84978.9i | 0.373901 | + | 0.215872i | 0.675161 | − | 0.737670i | \(-0.264074\pi\) |
−0.301260 | + | 0.953542i | \(0.597407\pi\) | |||||||
\(174\) | 7792.99 | + | 26505.0i | 0.0195133 | + | 0.0663674i | ||||
\(175\) | −5999.82 | + | 3464.00i | −0.0148096 | + | 0.00855033i | ||||
\(176\) | −498455. | + | 43048.7i | −1.21295 | + | 0.104756i | ||||
\(177\) | 1577.09 | + | 600983.i | 0.00378377 | + | 1.44188i | ||||
\(178\) | 170584. | − | 696280.i | 0.403543 | − | 1.64715i | ||||
\(179\) | −91825.1 | −0.214205 | −0.107102 | − | 0.994248i | \(-0.534157\pi\) | ||||
−0.107102 | + | 0.994248i | \(0.534157\pi\) | |||||||
\(180\) | −132791. | − | 206299.i | −0.305483 | − | 0.474586i | ||||
\(181\) | 640763. | 1.45379 | 0.726893 | − | 0.686750i | \(-0.240963\pi\) | ||||
0.726893 | + | 0.686750i | \(0.240963\pi\) | |||||||
\(182\) | 4504.74 | − | 18387.1i | 0.0100807 | − | 0.0411467i | ||||
\(183\) | 102749. | − | 59682.1i | 0.226803 | − | 0.131740i | ||||
\(184\) | −68787.6 | + | 344312.i | −0.149784 | + | 0.749735i | ||||
\(185\) | −267482. | + | 154431.i | −0.574600 | + | 0.331746i | ||||
\(186\) | −493835. | − | 119614.i | −1.04665 | − | 0.253512i | ||||
\(187\) | −230391. | − | 133016.i | −0.481794 | − | 0.278164i | ||||
\(188\) | 605936. | − | 385549.i | 1.25035 | − | 0.795581i | ||||
\(189\) | −6077.55 | + | 10720.7i | −0.0123758 | + | 0.0218307i | ||||
\(190\) | −54232.0 | − | 186255.i | −0.108986 | − | 0.374303i | ||||
\(191\) | −138848. | + | 240492.i | −0.275395 | + | 0.476998i | −0.970235 | − | 0.242167i | \(-0.922142\pi\) |
0.694840 | + | 0.719165i | \(0.255475\pi\) | |||||||
\(192\) | −195027. | + | 472106.i | −0.381805 | + | 0.924243i | ||||
\(193\) | −432677. | − | 749418.i | −0.836123 | − | 1.44821i | −0.893113 | − | 0.449833i | \(-0.851484\pi\) |
0.0569898 | − | 0.998375i | \(-0.481850\pi\) | |||||||
\(194\) | 242287. | − | 252955.i | 0.462196 | − | 0.482547i | ||||
\(195\) | −254113. | − | 437482.i | −0.478565 | − | 0.823898i | ||||
\(196\) | −23145.2 | − | 536987.i | −0.0430349 | − | 0.998443i | ||||
\(197\) | 246048.i | 0.451705i | 0.974162 | + | 0.225852i | \(0.0725167\pi\) | ||||
−0.974162 | + | 0.225852i | \(0.927483\pi\) | |||||||
\(198\) | 653153. | + | 156390.i | 1.18400 | + | 0.283495i | ||||
\(199\) | 283324.i | 0.507166i | 0.967314 | + | 0.253583i | \(0.0816091\pi\) | ||||
−0.967314 | + | 0.253583i | \(0.918391\pi\) | |||||||
\(200\) | 365131. | − | 123605.i | 0.645467 | − | 0.218504i | ||||
\(201\) | −79752.8 | + | 209.286i | −0.139237 | + | 0.000365385i | ||||
\(202\) | −357284. | − | 342216.i | −0.616077 | − | 0.590095i | ||||
\(203\) | −509.623 | − | 882.693i | −0.000867979 | − | 0.00150338i | ||||
\(204\) | −228773. | + | 146410.i | −0.384884 | + | 0.246318i | ||||
\(205\) | −160352. | + | 277737.i | −0.266495 | + | 0.461583i | ||||
\(206\) | 579317. | − | 168680.i | 0.951149 | − | 0.276947i | ||||
\(207\) | 233523. | − | 409422.i | 0.378795 | − | 0.664118i | ||||
\(208\) | −446228. | + | 954158.i | −0.715152 | + | 1.52919i | ||||
\(209\) | 459895. | + | 265520.i | 0.728270 | + | 0.420467i | ||||
\(210\) | 6553.11 | + | 6243.85i | 0.0102541 | + | 0.00977021i | ||||
\(211\) | −369932. | + | 213580.i | −0.572025 | + | 0.330259i | −0.757958 | − | 0.652303i | \(-0.773803\pi\) |
0.185932 | + | 0.982563i | \(0.440469\pi\) | |||||||
\(212\) | −172938. | + | 331759.i | −0.264272 | + | 0.506972i | ||||
\(213\) | 880064. | + | 505031.i | 1.32912 | + | 0.762727i | ||||
\(214\) | 148055. | + | 36272.5i | 0.220997 | + | 0.0541431i | ||||
\(215\) | 601350. | 0.887219 | ||||||||
\(216\) | 448475. | − | 518705.i | 0.654040 | − | 0.756460i | ||||
\(217\) | 18746.0 | 0.0270246 | ||||||||
\(218\) | −391764. | − | 95979.9i | −0.558320 | − | 0.136785i | ||||
\(219\) | 164362. | + | 94320.3i | 0.231575 | + | 0.132891i | ||||
\(220\) | 228021. | − | 437429.i | 0.317628 | − | 0.609327i | ||||
\(221\) | −485062. | + | 280051.i | −0.668062 | + | 0.385706i | ||||
\(222\) | −624966. | − | 595472.i | −0.851087 | − | 0.810922i | ||||
\(223\) | −785917. | − | 453749.i | −1.05831 | − | 0.611018i | −0.133349 | − | 0.991069i | \(-0.542573\pi\) |
−0.924965 | + | 0.380051i | \(0.875906\pi\) | |||||||
\(224\) | 2892.77 | − | 18621.8i | 0.00385206 | − | 0.0247972i | ||||
\(225\) | −517467. | + | 2715.88i | −0.681439 | + | 0.00357647i | ||||
\(226\) | −205711. | + | 59897.2i | −0.267909 | + | 0.0780073i | ||||
\(227\) | 195847. | − | 339217.i | 0.252262 | − | 0.436931i | −0.711886 | − | 0.702295i | \(-0.752159\pi\) |
0.964148 | + | 0.265364i | \(0.0854921\pi\) | |||||||
\(228\) | 456665. | − | 292256.i | 0.581782 | − | 0.372329i | ||||
\(229\) | −240738. | − | 416970.i | −0.303358 | − | 0.525432i | 0.673536 | − | 0.739154i | \(-0.264775\pi\) |
−0.976894 | + | 0.213722i | \(0.931441\pi\) | |||||||
\(230\) | −250009. | − | 239466.i | −0.311628 | − | 0.298486i | ||||
\(231\) | −24778.0 | + | 65.0221i | −0.0305517 | + | 8.01736e-5i | ||||
\(232\) | 18184.7 | + | 53718.0i | 0.0221813 | + | 0.0655240i | ||||
\(233\) | − | 506837.i | − | 0.611615i | −0.952093 | − | 0.305808i | \(-0.901074\pi\) | ||
0.952093 | − | 0.305808i | \(-0.0989265\pi\) | |||||||
\(234\) | 972718. | − | 1.02628e6i | 1.16131 | − | 1.22525i | ||||
\(235\) | 708122.i | 0.836447i | ||||||||
\(236\) | 53125.7 | + | 1.23256e6i | 0.0620905 | + | 1.44055i | ||||
\(237\) | −587566. | − | 1.01156e6i | −0.679495 | − | 1.16982i | ||||
\(238\) | 6931.43 | − | 7236.62i | 0.00793196 | − | 0.00828121i | ||||
\(239\) | 150130. | + | 260032.i | 0.170009 | + | 0.294464i | 0.938423 | − | 0.345489i | \(-0.112287\pi\) |
−0.768414 | + | 0.639953i | \(0.778954\pi\) | |||||||
\(240\) | −289497. | − | 412120.i | −0.324426 | − | 0.461844i | ||||
\(241\) | −266947. | + | 462366.i | −0.296062 | + | 0.512795i | −0.975231 | − | 0.221187i | \(-0.929007\pi\) |
0.679169 | + | 0.733982i | \(0.262340\pi\) | |||||||
\(242\) | 122820. | + | 421813.i | 0.134812 | + | 0.463001i | ||||
\(243\) | −791054. | + | 470661.i | −0.859391 | + | 0.511320i | ||||
\(244\) | 205796. | − | 130945.i | 0.221290 | − | 0.140804i | ||||
\(245\) | 458947. | + | 264973.i | 0.488480 | + | 0.282024i | ||||
\(246\) | −871138. | − | 211002.i | −0.917802 | − | 0.222305i | ||||
\(247\) | 968256. | − | 559023.i | 1.00983 | − | 0.583025i | ||||
\(248\) | −1.02285e6 | − | 204347.i | −1.05604 | − | 0.210978i | ||||
\(249\) | 689597. | − | 400555.i | 0.704850 | − | 0.409416i | ||||
\(250\) | −223163. | + | 910890.i | −0.225825 | + | 0.921756i | ||||
\(251\) | 1.40288e6 | 1.40551 | 0.702757 | − | 0.711430i | \(-0.251952\pi\) | ||||
0.702757 | + | 0.711430i | \(0.251952\pi\) | |||||||
\(252\) | −11575.8 | + | 22493.9i | −0.0114829 | + | 0.0223133i | ||||
\(253\) | 947688. | 0.930816 | ||||||||
\(254\) | −89363.3 | + | 364757.i | −0.0869111 | + | 0.354748i | ||||
\(255\) | −702.761 | − | 267801.i | −0.000676795 | − | 0.257906i | ||||
\(256\) | −360832. | + | 984536.i | −0.344116 | + | 0.938927i | ||||
\(257\) | −837694. | + | 483643.i | −0.791139 | + | 0.456764i | −0.840363 | − | 0.542024i | \(-0.817658\pi\) |
0.0492245 | + | 0.998788i | \(0.484325\pi\) | |||||||
\(258\) | 474091. | + | 1.61245e6i | 0.443417 | + | 1.50812i | ||||
\(259\) | 27580.7 | + | 15923.7i | 0.0255479 | + | 0.0147501i | ||||
\(260\) | −557535. | − | 876233.i | −0.511492 | − | 0.803871i | ||||
\(261\) | −399.560 | − | 76129.8i | −0.000363062 | − | 0.0691756i | ||||
\(262\) | 89089.5 | + | 305970.i | 0.0801814 | + | 0.275376i | ||||
\(263\) | −464267. | + | 804134.i | −0.413884 | + | 0.716868i | −0.995311 | − | 0.0967310i | \(-0.969161\pi\) |
0.581427 | + | 0.813599i | \(0.302495\pi\) | |||||||
\(264\) | 1.35268e6 | + | 266552.i | 1.19450 | + | 0.235382i | ||||
\(265\) | −184440. | − | 319460.i | −0.161340 | − | 0.279448i | ||||
\(266\) | −13836.2 | + | 14445.4i | −0.0119898 | + | 0.0125177i | ||||
\(267\) | −983240. | + | 1.71339e6i | −0.844076 | + | 1.47088i | ||||
\(268\) | −163565. | + | 7049.99i | −0.139109 | + | 0.00599586i | ||||
\(269\) | − | 1.21595e6i | − | 1.02455i | −0.858820 | − | 0.512277i | \(-0.828802\pi\) | ||
0.858820 | − | 0.512277i | \(-0.171198\pi\) | |||||||
\(270\) | 194111. | + | 647617.i | 0.162047 | + | 0.540641i | ||||
\(271\) | − | 2.02493e6i | − | 1.67489i | −0.546520 | − | 0.837446i | \(-0.684048\pi\) | ||
0.546520 | − | 0.837446i | \(-0.315952\pi\) | |||||||
\(272\) | −457087. | + | 319297.i | −0.374608 | + | 0.261681i | ||||
\(273\) | −25965.1 | + | 45246.6i | −0.0210854 | + | 0.0367434i | ||||
\(274\) | 1.72171e6 | + | 1.64910e6i | 1.38542 | + | 1.32700i | ||||
\(275\) | −520226. | − | 901058.i | −0.414821 | − | 0.718490i | ||||
\(276\) | 444996. | − | 859160.i | 0.351628 | − | 0.678893i | ||||
\(277\) | 192874. | − | 334068.i | 0.151034 | − | 0.261599i | −0.780574 | − | 0.625064i | \(-0.785073\pi\) |
0.931608 | + | 0.363465i | \(0.118406\pi\) | |||||||
\(278\) | −2.08534e6 | + | 607190.i | −1.61832 | + | 0.471208i | ||||
\(279\) | 1.21627e6 | + | 693726.i | 0.935444 | + | 0.533553i | ||||
\(280\) | 13959.6 | + | 12262.9i | 0.0106409 | + | 0.00934754i | ||||
\(281\) | −142638. | − | 82351.9i | −0.107763 | − | 0.0622168i | 0.445150 | − | 0.895456i | \(-0.353150\pi\) |
−0.552913 | + | 0.833239i | \(0.686484\pi\) | |||||||
\(282\) | −1.89875e6 | + | 558269.i | −1.42182 | + | 0.418042i | ||||
\(283\) | −441868. | + | 255113.i | −0.327964 | + | 0.189350i | −0.654937 | − | 0.755684i | \(-0.727305\pi\) |
0.326973 | + | 0.945034i | \(0.393971\pi\) | |||||||
\(284\) | 1.84704e6 | + | 962821.i | 1.35888 | + | 0.708353i | ||||
\(285\) | 1402.81 | + | 534571.i | 0.00102303 | + | 0.389846i | ||||
\(286\) | 2.76139e6 | + | 676525.i | 1.99624 | + | 0.489067i | ||||
\(287\) | 33068.4 | 0.0236978 | ||||||||
\(288\) | 876817. | − | 1.10116e6i | 0.622913 | − | 0.782291i | ||||
\(289\) | 1.12338e6 | 0.791192 | ||||||||
\(290\) | −54310.9 | − | 13305.8i | −0.0379221 | − | 0.00929068i | ||||
\(291\) | −834646. | + | 484808.i | −0.577790 | + | 0.335612i | ||||
\(292\) | 344957. | + | 179818.i | 0.236760 | + | 0.123417i | ||||
\(293\) | 1.02752e6 | − | 593241.i | 0.699234 | − | 0.403703i | −0.107828 | − | 0.994170i | \(-0.534390\pi\) |
0.807062 | + | 0.590467i | \(0.201056\pi\) | |||||||
\(294\) | −348670. | + | 1.43951e6i | −0.235259 | + | 0.971285i | ||||
\(295\) | −1.05343e6 | − | 608199.i | −0.704776 | − | 0.406903i | ||||
\(296\) | −1.33131e6 | − | 1.16950e6i | −0.883184 | − | 0.775840i | ||||
\(297\) | −1.61004e6 | − | 912730.i | −1.05912 | − | 0.600415i | ||||
\(298\) | −1.77655e6 | + | 517278.i | −1.15887 | + | 0.337430i | ||||
\(299\) | 997625. | − | 1.72794e6i | 0.645341 | − | 1.11776i | ||||
\(300\) | −1.06116e6 | + | 48528.4i | −0.680737 | + | 0.0311310i | ||||
\(301\) | −31003.2 | − | 53699.2i | −0.0197238 | − | 0.0341626i | ||||
\(302\) | −1.77682e6 | − | 1.70189e6i | −1.12105 | − | 1.07377i | ||||
\(303\) | 684762. | + | 1.17889e6i | 0.428483 | + | 0.737676i | ||||
\(304\) | 912414. | − | 637363.i | 0.566250 | − | 0.395551i | ||||
\(305\) | 240502.i | 0.148036i | ||||||||
\(306\) | 717523. | − | 213013.i | 0.438059 | − | 0.130048i | ||||
\(307\) | − | 1.41312e6i | − | 0.855724i | −0.903844 | − | 0.427862i | \(-0.859267\pi\) | ||
0.903844 | − | 0.427862i | \(-0.140733\pi\) | |||||||
\(308\) | −50817.3 | + | 2190.33i | −0.0305235 | + | 0.00131562i | ||||
\(309\) | −1.66270e6 | + | 4363.24i | −0.990645 | + | 0.00259964i | ||||
\(310\) | 711378. | − | 742701.i | 0.420433 | − | 0.438944i | ||||
\(311\) | 315266. | + | 546057.i | 0.184832 | + | 0.320138i | 0.943520 | − | 0.331316i | \(-0.107493\pi\) |
−0.758688 | + | 0.651454i | \(0.774159\pi\) | |||||||
\(312\) | 1.90997e6 | − | 2.18577e6i | 1.11081 | − | 1.27121i | ||||
\(313\) | 197240. | − | 341630.i | 0.113798 | − | 0.197104i | −0.803501 | − | 0.595304i | \(-0.797032\pi\) |
0.917299 | + | 0.398200i | \(0.130365\pi\) | |||||||
\(314\) | 21504.6 | + | 73855.5i | 0.0123085 | + | 0.0422726i | ||||
\(315\) | −12584.6 | − | 21535.4i | −0.00714602 | − | 0.0122286i | ||||
\(316\) | −1.28915e6 | − | 2.02605e6i | −0.726247 | − | 1.14138i | ||||
\(317\) | 141567. | + | 81733.6i | 0.0791249 | + | 0.0456828i | 0.539040 | − | 0.842280i | \(-0.318787\pi\) |
−0.459916 | + | 0.887963i | \(0.652120\pi\) | |||||||
\(318\) | 711185. | − | 746410.i | 0.394380 | − | 0.413914i | ||||
\(319\) | 132564. | − | 76535.6i | 0.0729369 | − | 0.0421101i | ||||
\(320\) | −628005. | − | 821275.i | −0.342838 | − | 0.448346i | ||||
\(321\) | −364329. | − | 209073.i | −0.197347 | − | 0.113249i | ||||
\(322\) | −8494.24 | + | 34671.2i | −0.00456546 | + | 0.0186350i | ||||
\(323\) | 591813. | 0.315630 | ||||||||
\(324\) | −1.58348e6 | + | 1.03105e6i | −0.838010 | + | 0.545655i | ||||
\(325\) | −2.19055e6 | −1.15039 | ||||||||
\(326\) | 637189. | − | 2.60083e6i | 0.332066 | − | 1.35540i | ||||
\(327\) | 964044. | + | 553223.i | 0.498572 | + | 0.286109i | ||||
\(328\) | −1.80433e6 | − | 360473.i | −0.926041 | − | 0.185007i | ||||
\(329\) | 63233.7 | − | 36508.0i | 0.0322077 | − | 0.0185951i | ||||
\(330\) | −937706. | + | 984150.i | −0.474004 | + | 0.497481i | ||||
\(331\) | 696109. | + | 401899.i | 0.349227 | + | 0.201626i | 0.664345 | − | 0.747426i | \(-0.268711\pi\) |
−0.315118 | + | 0.949053i | \(0.602044\pi\) | |||||||
\(332\) | 1.38119e6 | − | 878835.i | 0.687717 | − | 0.437585i | ||||
\(333\) | 1.20019e6 | + | 2.05382e6i | 0.593115 | + | 1.01497i | ||||
\(334\) | 236798. | + | 813262.i | 0.116148 | + | 0.398900i | ||||
\(335\) | 80710.4 | − | 139795.i | 0.0392932 | − | 0.0680578i | ||||
\(336\) | −21876.0 | + | 47098.7i | −0.0105711 | + | 0.0227594i | ||||
\(337\) | 763890. | + | 1.32310e6i | 0.366400 | + | 0.634624i | 0.989000 | − | 0.147917i | \(-0.0472567\pi\) |
−0.622599 | + | 0.782541i | \(0.713923\pi\) | |||||||
\(338\) | 2.68757e6 | − | 2.80591e6i | 1.27958 | − | 1.33592i | ||||
\(339\) | 590413. | − | 1549.36i | 0.279034 | − | 0.000732238i | ||||
\(340\) | −23673.1 | − | 549235.i | −0.0111060 | − | 0.257668i | ||||
\(341\) | 2.81529e6i | 1.31110i | ||||||||
\(342\) | −1.43228e6 | + | 425206.i | −0.662161 | + | 0.196578i | ||||
\(343\) | − | 109322.i | − | 0.0501734i | ||||||
\(344\) | 1.10628e6 | + | 3.26797e6i | 0.504043 | + | 1.48896i | ||||
\(345\) | 479162. | + | 824926.i | 0.216738 | + | 0.373136i | ||||
\(346\) | −694314. | − | 665033.i | −0.311793 | − | 0.298643i | ||||
\(347\) | 423222. | + | 733041.i | 0.188688 | + | 0.326817i | 0.944813 | − | 0.327610i | \(-0.106243\pi\) |
−0.756125 | + | 0.654427i | \(0.772910\pi\) | |||||||
\(348\) | −7139.50 | − | 156118.i | −0.00316024 | − | 0.0691044i | ||||
\(349\) | 194050. | − | 336105.i | 0.0852807 | − | 0.147711i | −0.820230 | − | 0.572034i | \(-0.806155\pi\) |
0.905511 | + | 0.424323i | \(0.139488\pi\) | |||||||
\(350\) | 37628.1 | − | 10956.2i | 0.0164188 | − | 0.00478068i | ||||
\(351\) | −3.35907e6 | + | 1.97478e6i | −1.45530 | + | 0.855562i | ||||
\(352\) | 2.79664e6 | + | 434438.i | 1.20304 | + | 0.186884i | ||||
\(353\) | 1.34326e6 | + | 775534.i | 0.573753 | + | 0.331256i | 0.758647 | − | 0.651502i | \(-0.225861\pi\) |
−0.184894 | + | 0.982758i | \(0.559194\pi\) | |||||||
\(354\) | 800311. | − | 3.30414e6i | 0.339430 | − | 1.40136i | ||||
\(355\) | −1.77857e6 | + | 1.02686e6i | −0.749031 | + | 0.432453i | ||||
\(356\) | −1.87451e6 | + | 3.59599e6i | −0.783902 | + | 1.50381i | ||||
\(357\) | −23877.8 | + | 13869.5i | −0.00991572 | + | 0.00575959i | ||||
\(358\) | 504520. | + | 123605.i | 0.208052 | + | 0.0509714i | ||||
\(359\) | −3.63496e6 | −1.48855 | −0.744275 | − | 0.667873i | \(-0.767205\pi\) | ||||
−0.744275 | + | 0.667873i | \(0.767205\pi\) | |||||||
\(360\) | 451907. | + | 1.31223e6i | 0.183778 | + | 0.533646i | ||||
\(361\) | 1.29475e6 | 0.522901 | ||||||||
\(362\) | −3.52058e6 | − | 862522.i | −1.41203 | − | 0.345938i | ||||
\(363\) | −3176.97 | − | 1.21065e6i | −0.00126545 | − | 0.482227i | ||||
\(364\) | −49501.3 | + | 94961.8i | −0.0195823 | + | 0.0375660i | ||||
\(365\) | −332168. | + | 191777.i | −0.130505 | + | 0.0753469i | ||||
\(366\) | −644877. | + | 189606.i | −0.251637 | + | 0.0739862i | ||||
\(367\) | −366486. | − | 211591.i | −0.142034 | − | 0.0820033i | 0.427299 | − | 0.904110i | \(-0.359465\pi\) |
−0.569333 | + | 0.822107i | \(0.692798\pi\) | |||||||
\(368\) | 841418. | − | 1.79918e6i | 0.323886 | − | 0.692558i | ||||
\(369\) | 2.14552e6 | + | 1.22375e6i | 0.820290 | + | 0.467872i | ||||
\(370\) | 1.67752e6 | − | 488446.i | 0.637036 | − | 0.185486i | ||||
\(371\) | −19018.0 | + | 32940.2i | −0.00717350 | + | 0.0124249i | ||||
\(372\) | 2.55230e6 | + | 1.32195e6i | 0.956256 | + | 0.495287i | ||||
\(373\) | 1.65892e6 | + | 2.87333e6i | 0.617380 | + | 1.06933i | 0.989962 | + | 0.141334i | \(0.0451391\pi\) |
−0.372582 | + | 0.927999i | \(0.621528\pi\) | |||||||
\(374\) | 1.08680e6 | + | 1.04097e6i | 0.401764 | + | 0.384820i | ||||
\(375\) | 1.28630e6 | − | 2.24150e6i | 0.472350 | − | 0.823114i | ||||
\(376\) | −3.84821e6 | + | 1.30270e6i | −1.40375 | + | 0.475199i | ||||
\(377\) | − | 322274.i | − | 0.116781i | ||||||
\(378\) | 47823.2 | − | 50722.3i | 0.0172151 | − | 0.0182587i | ||||
\(379\) | 2.75509e6i | 0.985230i | 0.870247 | + | 0.492615i | \(0.163959\pi\) | ||||
−0.870247 | + | 0.492615i | \(0.836041\pi\) | |||||||
\(380\) | 47255.0 | + | 1.09635e6i | 0.0167876 | + | 0.389486i | ||||
\(381\) | 515086. | − | 897586.i | 0.181789 | − | 0.316784i | ||||
\(382\) | 1.08660e6 | − | 1.13445e6i | 0.380989 | − | 0.397764i | ||||
\(383\) | −341107. | − | 590814.i | −0.118821 | − | 0.205804i | 0.800480 | − | 0.599360i | \(-0.204578\pi\) |
−0.919301 | + | 0.393556i | \(0.871245\pi\) | |||||||
\(384\) | 1.70705e6 | − | 2.33140e6i | 0.590768 | − | 0.806841i | ||||
\(385\) | 25075.5 | − | 43432.0i | 0.00862180 | − | 0.0149334i | ||||
\(386\) | 1.36850e6 | + | 4.70000e6i | 0.467495 | + | 1.60557i | ||||
\(387\) | −24307.5 | − | 4.63140e6i | −0.00825017 | − | 1.57194i | ||||
\(388\) | −1.67171e6 | + | 1.06369e6i | −0.563745 | + | 0.358703i | ||||
\(389\) | −4.49750e6 | − | 2.59663e6i | −1.50694 | − | 0.870034i | −0.999967 | − | 0.00807397i | \(-0.997430\pi\) |
−0.506976 | − | 0.861960i | \(-0.669237\pi\) | |||||||
\(390\) | 807303. | + | 2.74574e6i | 0.268766 | + | 0.914110i | ||||
\(391\) | 914645. | − | 528070.i | 0.302559 | − | 0.174683i | ||||
\(392\) | −595663. | + | 2.98156e6i | −0.195788 | + | 0.980004i | ||||
\(393\) | −2304.47 | − | 878166.i | −0.000752645 | − | 0.286810i | ||||
\(394\) | 331202. | − | 1.35188e6i | 0.107486 | − | 0.438730i | ||||
\(395\) | 2.36772e6 | 0.763551 | ||||||||
\(396\) | −3.37815e6 | − | 1.73846e6i | −1.08253 | − | 0.557093i | ||||
\(397\) | −4.32179e6 | −1.37622 | −0.688109 | − | 0.725607i | \(-0.741559\pi\) | ||||
−0.688109 | + | 0.725607i | \(0.741559\pi\) | |||||||
\(398\) | 381378. | − | 1.55668e6i | 0.120684 | − | 0.492598i | ||||
\(399\) | 47663.6 | − | 27685.6i | 0.0149884 | − | 0.00870608i | ||||
\(400\) | −2.17255e6 | + | 187631.i | −0.678921 | + | 0.0586346i | ||||
\(401\) | 2.13586e6 | − | 1.23314e6i | 0.663302 | − | 0.382958i | −0.130232 | − | 0.991484i | \(-0.541572\pi\) |
0.793534 | + | 0.608526i | \(0.208239\pi\) | |||||||
\(402\) | 438473. | + | 106204.i | 0.135325 | + | 0.0327776i | ||||
\(403\) | 5.13317e6 | + | 2.96363e6i | 1.57443 | + | 0.908996i | ||||
\(404\) | 1.50240e6 | + | 2.36120e6i | 0.457964 | + | 0.719745i | ||||
\(405\) | −19555.7 | − | 1.86296e6i | −0.00592429 | − | 0.564373i | ||||
\(406\) | 1611.87 | + | 5535.84i | 0.000485306 | + | 0.00166674i | ||||
\(407\) | −2.39143e6 | + | 4.14209e6i | −0.715604 | + | 1.23946i | ||||
\(408\) | 1.45404e6 | − | 496482.i | 0.432441 | − | 0.147657i | ||||
\(409\) | −1.88785e6 | − | 3.26985e6i | −0.558031 | − | 0.966538i | −0.997661 | − | 0.0683591i | \(-0.978224\pi\) |
0.439630 | − | 0.898179i | \(-0.355110\pi\) | |||||||
\(410\) | 1.25489e6 | − | 1.31014e6i | 0.368677 | − | 0.384910i | ||||
\(411\) | −3.29978e6 | − | 5.68091e6i | −0.963564 | − | 1.65887i | ||||
\(412\) | −3.41004e6 | + | 146979.i | −0.989729 | + | 0.0426593i | ||||
\(413\) | 125425.i | 0.0361835i | ||||||||
\(414\) | −1.83418e6 | + | 1.93517e6i | −0.525946 | + | 0.554905i | ||||
\(415\) | 1.61412e6i | 0.460062i | ||||||||
\(416\) | 3.73612e6 | − | 4.64183e6i | 1.05849 | − | 1.31509i | ||||
\(417\) | 5.98514e6 | − | 15706.1i | 1.68552 | − | 0.00442313i | ||||
\(418\) | −2.16942e6 | − | 2.07792e6i | −0.607298 | − | 0.581686i | ||||
\(419\) | 984571. | + | 1.70533e6i | 0.273976 | + | 0.474540i | 0.969876 | − | 0.243598i | \(-0.0783279\pi\) |
−0.695901 | + | 0.718138i | \(0.744995\pi\) | |||||||
\(420\) | −27600.4 | − | 43127.0i | −0.00763470 | − | 0.0119296i | ||||
\(421\) | 437124. | − | 757121.i | 0.120199 | − | 0.208190i | −0.799647 | − | 0.600470i | \(-0.794980\pi\) |
0.919846 | + | 0.392280i | \(0.128314\pi\) | |||||||
\(422\) | 2.32004e6 | − | 675527.i | 0.634182 | − | 0.184655i | ||||
\(423\) | 5.45373e6 | − | 28623.4i | 1.48198 | − | 0.00777805i | ||||
\(424\) | 1.39676e6 | − | 1.59002e6i | 0.377319 | − | 0.429524i | ||||
\(425\) | −1.00417e6 | − | 579760.i | −0.269673 | − | 0.155696i | ||||
\(426\) | −4.15558e6 | − | 3.95947e6i | −1.10945 | − | 1.05709i | ||||
\(427\) | 21476.3 | − | 12399.3i | 0.00570019 | − | 0.00329100i | ||||
\(428\) | −764640. | − | 398589.i | −0.201766 | − | 0.105176i | ||||
\(429\) | −6.79517e6 | − | 3.89945e6i | −1.78261 | − | 1.02296i | ||||
\(430\) | −3.30403e6 | − | 809469.i | −0.861734 | − | 0.211120i | ||||
\(431\) | −1.70261e6 | −0.441492 | −0.220746 | − | 0.975331i | \(-0.570849\pi\) | ||||
−0.220746 | + | 0.975331i | \(0.570849\pi\) | |||||||
\(432\) | −3.16231e6 | + | 2.24627e6i | −0.815258 | + | 0.579098i | ||||
\(433\) | −1.19651e6 | −0.306688 | −0.153344 | − | 0.988173i | \(-0.549004\pi\) | ||||
−0.153344 | + | 0.988173i | \(0.549004\pi\) | |||||||
\(434\) | −102997. | − | 25233.8i | −0.0262483 | − | 0.00643069i | ||||
\(435\) | 133647. | + | 76694.2i | 0.0338638 | + | 0.0194330i | ||||
\(436\) | 2.02330e6 | + | 1.05470e6i | 0.509734 | + | 0.265712i | ||||
\(437\) | −1.82577e6 | + | 1.05411e6i | −0.457342 | + | 0.264047i | ||||
\(438\) | −776103. | − | 739476.i | −0.193301 | − | 0.184179i | ||||
\(439\) | −2.13579e6 | − | 1.23310e6i | −0.528929 | − | 0.305377i | 0.211651 | − | 0.977345i | \(-0.432116\pi\) |
−0.740580 | + | 0.671968i | \(0.765449\pi\) | |||||||
\(440\) | −1.84165e6 | + | 2.09646e6i | −0.453498 | + | 0.516243i | ||||
\(441\) | 2.02219e6 | − | 3.54537e6i | 0.495136 | − | 0.868091i | ||||
\(442\) | 3.04208e6 | − | 885766.i | 0.740654 | − | 0.215657i | ||||
\(443\) | 2.45760e6 | − | 4.25669e6i | 0.594980 | − | 1.03054i | −0.398570 | − | 0.917138i | \(-0.630493\pi\) |
0.993550 | − | 0.113397i | \(-0.0361733\pi\) | |||||||
\(444\) | 2.63223e6 | + | 4.11300e6i | 0.633675 | + | 0.990150i | ||||
\(445\) | −1.99918e6 | − | 3.46268e6i | −0.478577 | − | 0.828919i | ||||
\(446\) | 3.70733e6 | + | 3.55098e6i | 0.882519 | + | 0.845300i | ||||
\(447\) | 5.09887e6 | − | 13380.4i | 1.20699 | − | 0.00316738i | ||||
\(448\) | −40960.5 | + | 98421.2i | −0.00964207 | + | 0.0231683i | ||||
\(449\) | − | 95563.2i | − | 0.0223705i | −0.999937 | − | 0.0111852i | \(-0.996440\pi\) | ||
0.999937 | − | 0.0111852i | \(-0.00356044\pi\) | |||||||
\(450\) | 2.84681e6 | + | 681634.i | 0.662716 | + | 0.158679i | ||||
\(451\) | 4.96624e6i | 1.14971i | ||||||||
\(452\) | 1.21088e6 | − | 52191.4i | 0.278776 | − | 0.0120158i | ||||
\(453\) | 3.40541e6 | + | 5.86276e6i | 0.779694 | + | 1.34232i | ||||
\(454\) | −1.53267e6 | + | 1.60015e6i | −0.348987 | + | 0.364353i | ||||
\(455\) | −52793.6 | − | 91441.2i | −0.0119551 | − | 0.0207068i | ||||
\(456\) | −2.90249e6 | + | 991050.i | −0.653669 | + | 0.223195i | ||||
\(457\) | 1.65475e6 | − | 2.86612e6i | 0.370632 | − | 0.641953i | −0.619031 | − | 0.785366i | \(-0.712475\pi\) |
0.989663 | + | 0.143414i | \(0.0458079\pi\) | |||||||
\(458\) | 761424. | + | 2.61504e6i | 0.169614 | + | 0.582526i | ||||
\(459\) | −2.06249e6 | + | 16237.4i | −0.456941 | + | 0.00359736i | ||||
\(460\) | 1.05130e6 | + | 1.65225e6i | 0.231650 | + | 0.364066i | ||||
\(461\) | −523886. | − | 302466.i | −0.114811 | − | 0.0662863i | 0.441495 | − | 0.897264i | \(-0.354448\pi\) |
−0.556306 | + | 0.830978i | \(0.687782\pi\) | |||||||
\(462\) | 136227. | + | 32996.1i | 0.0296932 | + | 0.00719213i | ||||
\(463\) | −813063. | + | 469422.i | −0.176267 | + | 0.101768i | −0.585538 | − | 0.810645i | \(-0.699117\pi\) |
0.409270 | + | 0.912413i | \(0.365783\pi\) | |||||||
\(464\) | −27604.2 | − | 319625.i | −0.00595224 | − | 0.0689200i | ||||
\(465\) | −2.45060e6 | + | 1.42344e6i | −0.525582 | + | 0.305286i | ||||
\(466\) | −682247. | + | 2.78475e6i | −0.145538 | + | 0.594047i | ||||
\(467\) | −6.03297e6 | −1.28009 | −0.640043 | − | 0.768339i | \(-0.721083\pi\) | ||||
−0.640043 | + | 0.768339i | \(0.721083\pi\) | |||||||
\(468\) | −6.72593e6 | + | 4.32937e6i | −1.41951 | + | 0.913714i | ||||
\(469\) | −16644.4 | −0.00349412 | ||||||||
\(470\) | 953194. | − | 3.89068e6i | 0.199038 | − | 0.812421i | ||||
\(471\) | −556.257 | − | 211973.i | −0.000115538 | − | 0.0440279i | ||||
\(472\) | 1.36724e6 | − | 6.84364e6i | 0.282481 | − | 1.41394i | ||||
\(473\) | 8.06458e6 | − | 4.65609e6i | 1.65741 | − | 0.956904i | ||||
\(474\) | 1.86666e6 | + | 6.34877e6i | 0.381610 | + | 1.29791i | ||||
\(475\) | 2.00448e6 | + | 1.15729e6i | 0.407632 | + | 0.235346i | ||||
\(476\) | −47824.9 | + | 30430.3i | −0.00967469 | + | 0.00615587i | ||||
\(477\) | −2.45292e6 | + | 1.43341e6i | −0.493614 | + | 0.288453i | ||||
\(478\) | −474842. | − | 1.63080e6i | −0.0950559 | − | 0.326461i | ||||
\(479\) | −1.48324e6 | + | 2.56904e6i | −0.295374 | + | 0.511602i | −0.975072 | − | 0.221890i | \(-0.928777\pi\) |
0.679698 | + | 0.733492i | \(0.262111\pi\) | |||||||
\(480\) | 1.03585e6 | + | 2.65402e6i | 0.205208 | + | 0.525777i | ||||
\(481\) | 5.03489e6 | + | 8.72069e6i | 0.992265 | + | 1.71865i | ||||
\(482\) | 2.08909e6 | − | 2.18107e6i | 0.409581 | − | 0.427615i | ||||
\(483\) | 48960.3 | − | 85318.0i | 0.00954941 | − | 0.0166408i | ||||
\(484\) | −107019. | − | 2.48292e6i | −0.0207657 | − | 0.481781i | ||||
\(485\) | − | 1.95364e6i | − | 0.377128i | ||||||
\(486\) | 4.97989e6 | − | 1.52116e6i | 0.956377 | − | 0.292135i | ||||
\(487\) | − | 7.19915e6i | − | 1.37549i | −0.725950 | − | 0.687747i | \(-0.758600\pi\) | ||
0.725950 | − | 0.687747i | \(-0.241400\pi\) | |||||||
\(488\) | −1.30698e6 | + | 442441.i | −0.248439 | + | 0.0841019i | ||||
\(489\) | −3.67272e6 | + | 6.40007e6i | −0.694570 | + | 1.21035i | ||||
\(490\) | −2.16494e6 | − | 2.07364e6i | −0.407340 | − | 0.390161i | ||||
\(491\) | −1.94528e6 | − | 3.36932e6i | −0.364148 | − | 0.630723i | 0.624491 | − | 0.781032i | \(-0.285306\pi\) |
−0.988639 | + | 0.150309i | \(0.951973\pi\) | |||||||
\(492\) | 4.50232e6 | + | 2.33195e6i | 0.838540 | + | 0.434316i | ||||
\(493\) | 85294.3 | − | 147734.i | 0.0158053 | − | 0.0273756i | ||||
\(494\) | −6.07245e6 | + | 1.76812e6i | −1.11956 | + | 0.325982i | ||||
\(495\) | 3.23420e6 | − | 1.88997e6i | 0.593273 | − | 0.346690i | ||||
\(496\) | 5.34482e6 | + | 2.49959e6i | 0.975503 | + | 0.456210i | ||||
\(497\) | 183392. | + | 105881.i | 0.0333035 | + | 0.0192278i | ||||
\(498\) | −4.32808e6 | + | 1.27254e6i | −0.782027 | + | 0.229931i | ||||
\(499\) | 3.16514e6 | − | 1.82739e6i | 0.569038 | − | 0.328534i | −0.187727 | − | 0.982221i | \(-0.560112\pi\) |
0.756765 | + | 0.653687i | \(0.226779\pi\) | |||||||
\(500\) | 2.45228e6 | − | 4.70437e6i | 0.438676 | − | 0.841543i | ||||
\(501\) | −6125.24 | − | 2.33415e6i | −0.00109026 | − | 0.415464i | ||||
\(502\) | −7.70792e6 | − | 1.88839e6i | −1.36514 | − | 0.334452i | ||||
\(503\) | −6.99423e6 | −1.23259 | −0.616297 | − | 0.787514i | \(-0.711368\pi\) | ||||
−0.616297 | + | 0.787514i | \(0.711368\pi\) | |||||||
\(504\) | 93880.4 | − | 108008.i | 0.0164626 | − | 0.0189399i | ||||
\(505\) | −2.75939e6 | −0.481488 | ||||||||
\(506\) | −5.20694e6 | − | 1.27567e6i | −0.904079 | − | 0.221494i | ||||
\(507\) | −9.25832e6 | + | 5.37774e6i | −1.59960 | + | 0.929137i | ||||
\(508\) | 981990. | − | 1.88382e6i | 0.168829 | − | 0.323877i | ||||
\(509\) | −6.20968e6 | + | 3.58516e6i | −1.06237 | + | 0.613358i | −0.926086 | − | 0.377312i | \(-0.876848\pi\) |
−0.136281 | + | 0.990670i | \(0.543515\pi\) | |||||||
\(510\) | −356623. | + | 1.47234e6i | −0.0607132 | + | 0.250659i | ||||
\(511\) | 34250.6 | + | 19774.6i | 0.00580251 | + | 0.00335008i | ||||
\(512\) | 3.30782e6 | − | 4.92369e6i | 0.557656 | − | 0.830072i | ||||
\(513\) | 4.11703e6 | − | 32412.2i | 0.690702 | − | 0.00543770i | ||||
\(514\) | 5.25362e6 | − | 1.52970e6i | 0.877104 | − | 0.255387i | ||||
\(515\) | 1.68266e6 | − | 2.91446e6i | 0.279563 | − | 0.484217i | ||||
\(516\) | −434336. | − | 9.49755e6i | −0.0718127 | − | 1.57032i | ||||
\(517\) | 5.48280e6 | + | 9.49649e6i | 0.902144 | + | 1.56256i | ||||
\(518\) | −130104. | − | 124617.i | −0.0213042 | − | 0.0204057i | ||||
\(519\) | 1.33071e6 | + | 2.29095e6i | 0.216852 | + | 0.373333i | ||||
\(520\) | 1.88382e6 | + | 5.56484e6i | 0.305513 | + | 0.902493i | ||||
\(521\) | 6.81856e6i | 1.10052i | 0.834993 | + | 0.550261i | \(0.185472\pi\) | ||||
−0.834993 | + | 0.550261i | \(0.814528\pi\) | |||||||
\(522\) | −100282. | + | 418823.i | −0.0161082 | + | 0.0672750i | ||||
\(523\) | 5.81403e6i | 0.929444i | 0.885457 | + | 0.464722i | \(0.153846\pi\) | ||||
−0.885457 | + | 0.464722i | \(0.846154\pi\) | |||||||
\(524\) | −77628.1 | − | 1.80103e6i | −0.0123507 | − | 0.286545i | ||||
\(525\) | −107996. | + | 283.403i | −0.0171006 | + | 4.48752e-5i | ||||
\(526\) | 3.63329e6 | − | 3.79326e6i | 0.572579 | − | 0.597790i | ||||
\(527\) | 1.56873e6 | + | 2.71713e6i | 0.246050 | + | 0.426171i | ||||
\(528\) | −7.07331e6 | − | 3.28536e6i | −1.10418 | − | 0.512859i | ||||
\(529\) | 1.33703e6 | − | 2.31580e6i | 0.207731 | − | 0.359800i | ||||
\(530\) | 583361. | + | 2.00350e6i | 0.0902086 | + | 0.309813i | ||||
\(531\) | −4.64157e6 | + | 8.13777e6i | −0.714379 | + | 1.25248i | ||||
\(532\) | 95465.6 | − | 60743.4i | 0.0146241 | − | 0.00930509i | ||||
\(533\) | 9.05504e6 | + | 5.22793e6i | 1.38061 | + | 0.797098i | ||||
\(534\) | 7.70865e6 | − | 8.09046e6i | 1.16984 | − | 1.22778i | ||||
\(535\) | 736292. | − | 425098.i | 0.111216 | − | 0.0642103i | ||||
\(536\) | 908178. | + | 181438.i | 0.136540 | + | 0.0272782i | ||||
\(537\) | −1.24151e6 | − | 712450.i | −0.185787 | − | 0.106615i | ||||
\(538\) | −1.63678e6 | + | 6.68088e6i | −0.243800 | + | 0.995125i | ||||
\(539\) | 8.20646e6 | 1.21670 | ||||||||
\(540\) | −194766. | − | 3.81954e6i | −0.0287428 | − | 0.563672i | ||||
\(541\) | −6.49473e6 | −0.954043 | −0.477021 | − | 0.878892i | \(-0.658284\pi\) | ||||
−0.477021 | + | 0.878892i | \(0.658284\pi\) | |||||||
\(542\) | −2.72573e6 | + | 1.11257e7i | −0.398552 | + | 1.62678i | ||||
\(543\) | 8.66337e6 | + | 4.97153e6i | 1.26092 | + | 0.723587i | ||||
\(544\) | 2.94121e6 | − | 1.13905e6i | 0.426116 | − | 0.165024i | ||||
\(545\) | −1.94829e6 | + | 1.12484e6i | −0.280971 | + | 0.162219i | ||||
\(546\) | 203567. | − | 213650.i | 0.0292231 | − | 0.0306705i | ||||
\(547\) | 3.41406e6 | + | 1.97111e6i | 0.487868 | + | 0.281671i | 0.723690 | − | 0.690126i | \(-0.242445\pi\) |
−0.235822 | + | 0.971796i | \(0.575778\pi\) | |||||||
\(548\) | −7.23985e6 | − | 1.13783e7i | −1.02986 | − | 1.61855i | ||||
\(549\) | 1.85227e6 | − | 9721.46i | 0.262284 | − | 0.00137658i | ||||
\(550\) | 1.64541e6 | + | 5.65101e6i | 0.231935 | + | 0.796562i | ||||
\(551\) | −170260. | + | 294899.i | −0.0238910 | + | 0.0413804i | ||||
\(552\) | −3.60148e6 | + | 4.12153e6i | −0.503075 | + | 0.575720i | ||||
\(553\) | −122071. | − | 211432.i | −0.0169745 | − | 0.0294008i | ||||
\(554\) | −1.50941e6 | + | 1.57587e6i | −0.208945 | + | 0.218145i | ||||
\(555\) | −4.81466e6 | + | 12634.6i | −0.663489 | + | 0.00174112i | ||||
\(556\) | 1.22749e7 | − | 529075.i | 1.68396 | − | 0.0725822i | ||||
\(557\) | − | 9.50351e6i | − | 1.29791i | −0.760825 | − | 0.648957i | \(-0.775205\pi\) | ||
0.760825 | − | 0.648957i | \(-0.224795\pi\) | |||||||
\(558\) | −5.74879e6 | − | 5.44878e6i | −0.781612 | − | 0.740822i | ||||
\(559\) | − | 1.96057e7i | − | 2.65371i | ||||||
\(560\) | −60192.0 | − | 86167.5i | −0.00811089 | − | 0.0116111i | ||||
\(561\) | −2.08294e6 | − | 3.58599e6i | −0.279428 | − | 0.481063i | ||||
\(562\) | 672850. | + | 644474.i | 0.0898623 | + | 0.0860725i | ||||
\(563\) | −1.12664e6 | − | 1.95140e6i | −0.149801 | − | 0.259463i | 0.781353 | − | 0.624089i | \(-0.214530\pi\) |
−0.931154 | + | 0.364627i | \(0.881197\pi\) | |||||||
\(564\) | 1.11839e7 | − | 511454.i | 1.48045 | − | 0.0677031i | ||||
\(565\) | −597502. | + | 1.03490e6i | −0.0787442 | + | 0.136389i | ||||
\(566\) | 2.77119e6 | − | 806889.i | 0.363601 | − | 0.105870i | ||||
\(567\) | −165350. | + | 97793.3i | −0.0215996 | + | 0.0127747i | ||||
\(568\) | −8.85230e6 | − | 7.77637e6i | −1.15129 | − | 1.01136i | ||||
\(569\) | −1.02789e7 | − | 5.93451e6i | −1.33096 | − | 0.768430i | −0.345513 | − | 0.938414i | \(-0.612295\pi\) |
−0.985447 | + | 0.169984i | \(0.945628\pi\) | |||||||
\(570\) | 711871. | − | 2.93902e6i | 0.0917729 | − | 0.378891i | ||||
\(571\) | −5.96127e6 | + | 3.44174e6i | −0.765154 | + | 0.441762i | −0.831143 | − | 0.556059i | \(-0.812313\pi\) |
0.0659893 | + | 0.997820i | \(0.478980\pi\) | |||||||
\(572\) | −1.42614e7 | − | 7.43415e6i | −1.82252 | − | 0.950038i | ||||
\(573\) | −3.74320e6 | + | 2.17425e6i | −0.476274 | + | 0.276646i | ||||
\(574\) | −181690. | − | 44513.0i | −0.0230171 | − | 0.00563906i | ||||
\(575\) | 4.13056e6 | 0.521002 | ||||||||
\(576\) | −6.29981e6 | + | 4.86989e6i | −0.791172 | + | 0.611593i | ||||
\(577\) | 7.44098e6 | 0.930444 | 0.465222 | − | 0.885194i | \(-0.345974\pi\) | ||||
0.465222 | + | 0.885194i | \(0.345974\pi\) | |||||||
\(578\) | −6.17226e6 | − | 1.51217e6i | −0.768466 | − | 0.188270i | ||||
\(579\) | −35398.9 | − | 1.34895e7i | −0.00438827 | − | 1.67224i | ||||
\(580\) | 280493. | + | 146214.i | 0.0346220 | + | 0.0180476i | ||||
\(581\) | 144138. | − | 83217.9i | 0.0177148 | − | 0.0102277i | ||||
\(582\) | 5.23844e6 | − | 1.54021e6i | 0.641054 | − | 0.188483i | ||||
\(583\) | −4.94698e6 | − | 2.85614e6i | −0.602794 | − | 0.348023i | ||||
\(584\) | −1.65327e6 | − | 1.45233e6i | −0.200591 | − | 0.176211i | ||||
\(585\) | −41391.8 | − | 7.88654e6i | −0.00500063 | − | 0.952789i | ||||
\(586\) | −6.44414e6 | + | 1.87635e6i | −0.775213 | + | 0.225719i | ||||
\(587\) | −1.62470e6 | + | 2.81406e6i | −0.194615 | + | 0.337084i | −0.946774 | − | 0.321898i | \(-0.895679\pi\) |
0.752159 | + | 0.658982i | \(0.229013\pi\) | |||||||
\(588\) | 3.85343e6 | − | 7.43986e6i | 0.459625 | − | 0.887404i | ||||
\(589\) | −3.13142e6 | − | 5.42379e6i | −0.371924 | − | 0.644191i | ||||
\(590\) | 4.96925e6 | + | 4.75968e6i | 0.587707 | + | 0.562921i | ||||
\(591\) | −1.90903e6 | + | 3.32667e6i | −0.224825 | + | 0.391779i | ||||
\(592\) | 5.74047e6 | + | 8.21774e6i | 0.673199 | + | 0.963714i | ||||
\(593\) | 944104.i | 0.110251i | 0.998479 | + | 0.0551256i | \(0.0175559\pi\) | ||||
−0.998479 | + | 0.0551256i | \(0.982444\pi\) | |||||||
\(594\) | 7.61751e6 | + | 7.18212e6i | 0.885823 | + | 0.835193i | ||||
\(595\) | − | 55890.3i | − | 0.00647208i | ||||||
\(596\) | 1.04573e7 | − | 450730.i | 1.20588 | − | 0.0519758i | ||||
\(597\) | −2.19824e6 | + | 3.83065e6i | −0.252429 | + | 0.439882i | ||||
\(598\) | −7.80727e6 | + | 8.15102e6i | −0.892783 | + | 0.932093i | ||||
\(599\) | 97761.8 | + | 169328.i | 0.0111327 | + | 0.0192825i | 0.871538 | − | 0.490328i | \(-0.163123\pi\) |
−0.860405 | + | 0.509610i | \(0.829790\pi\) | |||||||
\(600\) | 5.89574e6 | + | 1.16179e6i | 0.668591 | + | 0.131749i | ||||
\(601\) | 3.73826e6 | − | 6.47485e6i | 0.422166 | − | 0.731213i | −0.573985 | − | 0.818866i | \(-0.694603\pi\) |
0.996151 | + | 0.0876529i | \(0.0279366\pi\) | |||||||
\(602\) | 98059.3 | + | 336776.i | 0.0110280 | + | 0.0378748i | ||||
\(603\) | −1.07991e6 | − | 615954.i | −0.120947 | − | 0.0689851i | ||||
\(604\) | 7.47161e6 | + | 1.17425e7i | 0.833340 | + | 1.30969i | ||||
\(605\) | 2.12208e6 | + | 1.22518e6i | 0.235708 | + | 0.136086i | ||||
\(606\) | −2.17545e6 | − | 7.39899e6i | −0.240640 | − | 0.818447i | ||||
\(607\) | 682314. | − | 393934.i | 0.0751644 | − | 0.0433962i | −0.461947 | − | 0.886908i | \(-0.652849\pi\) |
0.537111 | + | 0.843511i | \(0.319516\pi\) | |||||||
\(608\) | −5.87108e6 | + | 2.27372e6i | −0.644109 | + | 0.249446i | ||||
\(609\) | −41.6942 | − | 15888.4i | −4.55547e−6 | − | 0.00173595i | ||||
\(610\) | 323736. | − | 1.32140e6i | 0.0352263 | − | 0.143784i | ||||
\(611\) | 2.30868e7 | 2.50185 | ||||||||
\(612\) | −4.22907e6 | + | 204523.i | −0.456422 | + | 0.0220732i | ||||
\(613\) | −261841. | −0.0281441 | −0.0140720 | − | 0.999901i | \(-0.504479\pi\) | ||||
−0.0140720 | + | 0.999901i | \(0.504479\pi\) | |||||||
\(614\) | −1.90218e6 | + | 7.76421e6i | −0.203625 | + | 0.831144i | ||||
\(615\) | −4.32292e6 | + | 2.51099e6i | −0.460882 | + | 0.267705i | ||||
\(616\) | 282157. | + | 56370.0i | 0.0299598 | + | 0.00598545i | ||||
\(617\) | −3.01771e6 | + | 1.74228e6i | −0.319128 | + | 0.184249i | −0.651004 | − | 0.759074i | \(-0.725652\pi\) |
0.331876 | + | 0.943323i | \(0.392318\pi\) | |||||||
\(618\) | 9.14136e6 | + | 2.21417e6i | 0.962808 | + | 0.233206i | ||||
\(619\) | −1.28016e7 | − | 7.39099e6i | −1.34288 | − | 0.775311i | −0.355649 | − | 0.934620i | \(-0.615740\pi\) |
−0.987229 | + | 0.159309i | \(0.949073\pi\) | |||||||
\(620\) | −4.90831e6 | + | 3.12309e6i | −0.512806 | + | 0.326291i | ||||
\(621\) | 6.33394e6 | − | 3.72369e6i | 0.659091 | − | 0.387476i | ||||
\(622\) | −997147. | − | 3.42461e6i | −0.103344 | − | 0.354924i | ||||
\(623\) | −206140. | + | 357044.i | −0.0212785 | + | 0.0368555i | ||||
\(624\) | −1.34363e7 | + | 9.43842e6i | −1.38139 | + | 0.970372i | ||||
\(625\) | −712009. | − | 1.23324e6i | −0.0729097 | − | 0.126283i | ||||
\(626\) | −1.54357e6 | + | 1.61154e6i | −0.157431 | + | 0.164363i | ||||
\(627\) | 4.15785e6 | + | 7.15816e6i | 0.422377 | + | 0.727165i | ||||
\(628\) | −18738.0 | − | 434736.i | −0.00189594 | − | 0.0439872i | ||||
\(629\) | 5.33022e6i | 0.537178i | ||||||||
\(630\) | 40156.0 | + | 135263.i | 0.00403088 | + | 0.0135778i | ||||
\(631\) | 5.75639e6i | 0.575541i | 0.957699 | + | 0.287771i | \(0.0929141\pi\) | ||||
−0.957699 | + | 0.287771i | \(0.907086\pi\) | |||||||
\(632\) | 4.35580e6 | + | 1.28671e7i | 0.433786 | + | 1.28141i | ||||
\(633\) | −6.65875e6 | + | 17473.8i | −0.660516 | + | 0.00173332i | ||||
\(634\) | −667799. | − | 639636.i | −0.0659816 | − | 0.0631989i | ||||
\(635\) | 1.04730e6 | + | 1.81398e6i | 0.103071 | + | 0.178524i | ||||
\(636\) | −4.91224e6 | + | 3.14373e6i | −0.481545 | + | 0.308179i | ||||
\(637\) | 8.63889e6 | − | 1.49630e7i | 0.843547 | − | 1.46107i | ||||
\(638\) | −831376. | + | 242072.i | −0.0808622 | + | 0.0235447i | ||||
\(639\) | 7.98041e6 | + | 1.36564e7i | 0.773166 | + | 1.32308i | ||||
\(640\) | 2.34498e6 | + | 5.35773e6i | 0.226303 | + | 0.517048i | ||||
\(641\) | 1.33983e7 | + | 7.73550e6i | 1.28796 | + | 0.743607i | 0.978291 | − | 0.207236i | \(-0.0664468\pi\) |
0.309674 | + | 0.950843i | \(0.399780\pi\) | |||||||
\(642\) | 1.72033e6 | + | 1.63914e6i | 0.164730 | + | 0.156956i | ||||
\(643\) | −1.40298e7 | + | 8.10012e6i | −1.33821 | + | 0.772617i | −0.986542 | − | 0.163507i | \(-0.947719\pi\) |
−0.351669 | + | 0.936124i | \(0.614386\pi\) | |||||||
\(644\) | 93340.9 | − | 179062.i | 0.00886864 | − | 0.0170133i | ||||
\(645\) | 8.13049e6 | + | 4.66574e6i | 0.769516 | + | 0.441592i | ||||
\(646\) | −3.25164e6 | − | 796632.i | −0.306564 | − | 0.0751063i | ||||
\(647\) | 5.07623e6 | 0.476739 | 0.238369 | − | 0.971175i | \(-0.423387\pi\) | ||||
0.238369 | + | 0.971175i | \(0.423387\pi\) | |||||||
\(648\) | 1.00881e7 | − | 3.53348e6i | 0.943781 | − | 0.330572i | ||||
\(649\) | −1.88365e7 | −1.75545 | ||||||||
\(650\) | 1.20357e7 | + | 2.94868e6i | 1.11735 | + | 0.273743i | ||||
\(651\) | 253454. | + | 145446.i | 0.0234394 | + | 0.0134508i | ||||
\(652\) | −7.00190e6 | + | 1.34322e7i | −0.645055 | + | 1.23745i | ||||
\(653\) | 1.12780e6 | − | 651134.i | 0.103502 | − | 0.0597569i | −0.447356 | − | 0.894356i | \(-0.647634\pi\) |
0.550857 | + | 0.834599i | \(0.314301\pi\) | |||||||
\(654\) | −4.55213e6 | − | 4.33730e6i | −0.416169 | − | 0.396529i | ||||
\(655\) | 1.53929e6 | + | 888710.i | 0.140190 | + | 0.0809388i | ||||
\(656\) | 9.42840e6 | + | 4.40935e6i | 0.855418 | + | 0.400050i | ||||
\(657\) | 1.49043e6 | + | 2.55050e6i | 0.134710 | + | 0.230522i | ||||
\(658\) | −396572. | + | 115470.i | −0.0357073 | + | 0.0103969i | ||||
\(659\) | 8.68751e6 | − | 1.50472e7i | 0.779259 | − | 1.34972i | −0.153110 | − | 0.988209i | \(-0.548929\pi\) |
0.932369 | − | 0.361508i | \(-0.117738\pi\) | |||||||
\(660\) | 6.47685e6 | − | 4.14505e6i | 0.578767 | − | 0.370399i | ||||
\(661\) | −3.21752e6 | − | 5.57291e6i | −0.286430 | − | 0.496111i | 0.686525 | − | 0.727106i | \(-0.259135\pi\) |
−0.972955 | + | 0.230995i | \(0.925802\pi\) | |||||||
\(662\) | −3.28369e6 | − | 3.14520e6i | −0.291217 | − | 0.278935i | ||||
\(663\) | −8.73109e6 | + | 22912.0i | −0.771409 | + | 0.00202432i | ||||
\(664\) | −8.77178e6 | + | 2.96943e6i | −0.772089 | + | 0.261369i | ||||
\(665\) | 111565.i | 0.00978306i | ||||||||
\(666\) | −3.82966e6 | − | 1.29000e7i | −0.334560 | − | 1.12695i | ||||
\(667\) | 607687.i | 0.0528890i | ||||||||
\(668\) | −206334. | − | 4.78711e6i | −0.0178908 | − | 0.415081i | ||||
\(669\) | −7.10538e6 | − | 1.22326e7i | −0.613793 | − | 1.05671i | ||||
\(670\) | −631628. | + | 659439.i | −0.0543594 | + | 0.0567528i | ||||
\(671\) | 1.86214e6 | + | 3.22532e6i | 0.159664 | + | 0.276546i | ||||
\(672\) | 183594. | − | 229330.i | 0.0156832 | − | 0.0195902i | ||||
\(673\) | −3.26993e6 | + | 5.66368e6i | −0.278292 | + | 0.482016i | −0.970960 | − | 0.239240i | \(-0.923102\pi\) |
0.692668 | + | 0.721256i | \(0.256435\pi\) | |||||||
\(674\) | −2.41609e6 | − | 8.29783e6i | −0.204863 | − | 0.703582i | ||||
\(675\) | −7.01744e6 | − | 3.97819e6i | −0.592815 | − | 0.336068i | ||||
\(676\) | −1.85435e7 | + | 1.17990e7i | −1.56072 | + | 0.993065i | ||||
\(677\) | 3.46325e6 | + | 1.99951e6i | 0.290411 | + | 0.167669i | 0.638127 | − | 0.769931i | \(-0.279709\pi\) |
−0.347716 | + | 0.937600i | \(0.613043\pi\) | |||||||
\(678\) | −3.24603e6 | − | 786235.i | −0.271193 | − | 0.0656868i | ||||
\(679\) | −174455. | + | 100722.i | −0.0145214 | + | 0.00838396i | ||||
\(680\) | −609249. | + | 3.04956e6i | −0.0505269 | + | 0.252910i | ||||
\(681\) | 5.27984e6 | − | 3.06682e6i | 0.436268 | − | 0.253408i | ||||
\(682\) | 3.78962e6 | − | 1.54682e7i | 0.311986 | − | 1.27344i | ||||
\(683\) | −189908. | −0.0155773 | −0.00778864 | − | 0.999970i | \(-0.502479\pi\) | ||||
−0.00778864 | + | 0.999970i | \(0.502479\pi\) | |||||||
\(684\) | 8.44185e6 | − | 408259.i | 0.689918 | − | 0.0333653i | ||||
\(685\) | 1.32972e7 | 1.08276 | ||||||||
\(686\) | −147157. | + | 600656.i | −0.0119391 | + | 0.0487322i | ||||
\(687\) | −19695.7 | − | 7.50544e6i | −0.00159213 | − | 0.606715i | ||||
\(688\) | −1.67932e6 | − | 1.94446e7i | −0.135258 | − | 1.56613i | ||||
\(689\) | −1.04153e7 | + | 6.01328e6i | −0.835842 | + | 0.482574i | ||||
\(690\) | −1.52227e6 | − | 5.17744e6i | −0.121722 | − | 0.413992i | ||||
\(691\) | 1.27744e7 | + | 7.37528e6i | 1.01776 | + | 0.587602i | 0.913454 | − | 0.406943i | \(-0.133405\pi\) |
0.104304 | + | 0.994545i | \(0.466739\pi\) | |||||||
\(692\) | 2.91963e6 | + | 4.58854e6i | 0.231772 | + | 0.364258i | ||||
\(693\) | −335513. | − | 191368.i | −0.0265385 | − | 0.0151369i | ||||
\(694\) | −1.33860e6 | − | 4.59729e6i | −0.105500 | − | 0.362329i | ||||
\(695\) | −6.05700e6 | + | 1.04910e7i | −0.475659 | + | 0.823866i | ||||
\(696\) | −170922. | + | 867381.i | −0.0133744 | + | 0.0678714i | ||||
\(697\) | 2.76729e6 | + | 4.79308e6i | 0.215761 | + | 0.373709i | ||||
\(698\) | −1.51861e6 | + | 1.58548e6i | −0.117980 | + | 0.123175i | ||||
\(699\) | 3.93243e6 | − | 6.85264e6i | 0.304417 | − | 0.530475i | ||||
\(700\) | −221490. | + | 9546.67i | −0.0170848 | + | 0.000736388i | ||||
\(701\) | − | 1.07971e7i | − | 0.829870i | −0.909851 | − | 0.414935i | \(-0.863804\pi\) | ||
0.909851 | − | 0.414935i | \(-0.136196\pi\) | |||||||
\(702\) | 2.11142e7 | − | 6.32857e6i | 1.61708 | − | 0.484688i | ||||
\(703\) | − | 1.06399e7i | − | 0.811988i | ||||||
\(704\) | −1.47810e7 | − | 6.15148e6i | −1.12401 | − | 0.467787i | ||||
\(705\) | −5.49416e6 | + | 9.57410e6i | −0.416321 | + | 0.725480i | ||||
\(706\) | −6.33645e6 | − | 6.06922e6i | −0.478448 | − | 0.458270i | ||||
\(707\) | 142264. | + | 246408.i | 0.0107040 | + | 0.0185398i | ||||
\(708\) | −8.84486e6 | + | 1.70769e7i | −0.663144 | + | 1.28034i | ||||
\(709\) | −8.22095e6 | + | 1.42391e7i | −0.614195 | + | 1.06382i | 0.376330 | + | 0.926486i | \(0.377186\pi\) |
−0.990525 | + | 0.137332i | \(0.956147\pi\) | |||||||
\(710\) | 1.11543e7 | − | 3.24782e6i | 0.830420 | − | 0.241794i | ||||
\(711\) | −95707.1 | − | 1.82354e7i | −0.00710019 | − | 1.35283i | ||||
\(712\) | 1.51397e7 | − | 1.72345e7i | 1.11923 | − | 1.27408i | ||||
\(713\) | −9.67922e6 | − | 5.58830e6i | −0.713044 | − | 0.411676i | ||||
\(714\) | 149863. | − | 44062.7i | 0.0110014 | − | 0.00323464i | ||||
\(715\) | 1.37327e7 | − | 7.92858e6i | 1.00460 | − | 0.580003i | ||||
\(716\) | −2.60564e6 | − | 1.35826e6i | −0.189947 | − | 0.0990146i | ||||
\(717\) | 12282.7 | + | 4.68057e6i | 0.000892269 | + | 0.340017i | ||||
\(718\) | 1.99718e7 | + | 4.89297e6i | 1.44579 | + | 0.354211i | ||||
\(719\) | −2.43648e7 | −1.75769 | −0.878843 | − | 0.477111i | \(-0.841684\pi\) | ||||
−0.878843 | + | 0.477111i | \(0.841684\pi\) | |||||||
\(720\) | −716569. | − | 7.81817e6i | −0.0515142 | − | 0.562048i | ||||
\(721\) | −347006. | −0.0248599 | ||||||||
\(722\) | −7.11385e6 | − | 1.74285e6i | −0.507881 | − | 0.124428i | ||||
\(723\) | −7.19663e6 | + | 4.18020e6i | −0.512016 | + | 0.297407i | ||||
\(724\) | 1.81823e7 | + | 9.47802e6i | 1.28915 | + | 0.672003i | ||||
\(725\) | 577787. | − | 333585.i | 0.0408247 | − | 0.0235701i | ||||
\(726\) | −1.61218e6 | + | 6.65602e6i | −0.113520 | + | 0.468676i | ||||
\(727\) | −8.20393e6 | − | 4.73654e6i | −0.575686 | − | 0.332372i | 0.183731 | − | 0.982977i | \(-0.441182\pi\) |
−0.759417 | + | 0.650604i | \(0.774516\pi\) | |||||||
\(728\) | 399805. | − | 455122.i | 0.0279589 | − | 0.0318272i | ||||
\(729\) | −1.43471e7 | + | 225916.i | −0.999876 | + | 0.0157444i | ||||
\(730\) | 2.08320e6 | − | 606568.i | 0.144685 | − | 0.0421281i | ||||
\(731\) | 5.18893e6 | − | 8.98749e6i | 0.359157 | − | 0.622078i | ||||
\(732\) | 3.79842e6 | − | 173707.i | 0.262014 | − | 0.0119823i | ||||
\(733\) | 2.49849e6 | + | 4.32752e6i | 0.171758 | + | 0.297494i | 0.939035 | − | 0.343822i | \(-0.111722\pi\) |
−0.767276 | + | 0.641317i | \(0.778388\pi\) | |||||||
\(734\) | 1.72879e6 | + | 1.65588e6i | 0.118441 | + | 0.113446i | ||||
\(735\) | 4.14928e6 | + | 7.14341e6i | 0.283305 | + | 0.487739i | ||||
\(736\) | −7.04492e6 | + | 8.75275e6i | −0.479382 | + | 0.595593i | ||||
\(737\) | − | 2.49968e6i | − | 0.169518i | ||||||
\(738\) | −1.01410e7 | − | 9.61179e6i | −0.685395 | − | 0.649626i | ||||
\(739\) | 1.74764e7i | 1.17718i | 0.808433 | + | 0.588588i | \(0.200316\pi\) | ||||
−0.808433 | + | 0.588588i | \(0.799684\pi\) | |||||||
\(740\) | −9.87441e6 | + | 425607.i | −0.662876 | + | 0.0285713i | ||||
\(741\) | 1.74285e7 | − | 45735.8i | 1.16605 | − | 0.00305992i | ||||
\(742\) | 148832. | − | 155386.i | 0.00992402 | − | 0.0103610i | ||||
\(743\) | −1.71665e6 | − | 2.97332e6i | −0.114080 | − | 0.197592i | 0.803332 | − | 0.595532i | \(-0.203059\pi\) |
−0.917412 | + | 0.397940i | \(0.869725\pi\) | |||||||
\(744\) | −1.22438e7 | − | 1.06989e7i | −0.810931 | − | 0.708608i | ||||
\(745\) | −5.16009e6 | + | 8.93754e6i | −0.340617 | + | 0.589967i | ||||
\(746\) | −5.24694e6 | − | 1.80202e7i | −0.345191 | − | 1.18553i | ||||
\(747\) | 1.24315e7 | − | 65245.4i | 0.815118 | − | 0.00427808i | ||||
\(748\) | −4.57005e6 | − | 7.18238e6i | −0.298653 | − | 0.469369i | ||||
\(749\) | −75920.6 | − | 43832.8i | −0.00494487 | − | 0.00285492i | ||||
\(750\) | −1.00846e7 | + | 1.05841e7i | −0.654648 | + | 0.687072i | ||||
\(751\) | 4.54796e6 | − | 2.62576e6i | 0.294250 | − | 0.169885i | −0.345607 | − | 0.938379i | \(-0.612327\pi\) |
0.639857 | + | 0.768494i | \(0.278994\pi\) | |||||||
\(752\) | 2.28970e7 | − | 1.97749e6i | 1.47650 | − | 0.127517i | ||||
\(753\) | 1.89675e7 | + | 1.08846e7i | 1.21905 | + | 0.699560i | ||||
\(754\) | −433809. | + | 1.77069e6i | −0.0277888 | + | 0.113426i | ||||
\(755\) | −1.37228e7 | −0.876146 | ||||||||
\(756\) | −331035. | + | 214312.i | −0.0210654 | + | 0.0136378i | ||||
\(757\) | 2.98204e7 | 1.89136 | 0.945679 | − | 0.325102i | \(-0.105399\pi\) | ||||
0.945679 | + | 0.325102i | \(0.105399\pi\) | |||||||
\(758\) | 3.70859e6 | − | 1.51375e7i | 0.234442 | − | 0.956930i | ||||
\(759\) | 1.28131e7 | + | 7.35290e6i | 0.807329 | + | 0.463291i | ||||
\(760\) | 1.21615e6 | − | 6.08738e6i | 0.0763754 | − | 0.382293i | ||||
\(761\) | 3.94493e6 | − | 2.27761e6i | 0.246932 | − | 0.142566i | −0.371427 | − | 0.928462i | \(-0.621131\pi\) |
0.618359 | + | 0.785896i | \(0.287798\pi\) | |||||||
\(762\) | −4.03830e6 | + | 4.23831e6i | −0.251948 | + | 0.264427i | ||||
\(763\) | 200892. | + | 115985.i | 0.0124926 | + | 0.00721259i | ||||
\(764\) | −7.49726e6 | + | 4.77040e6i | −0.464696 | + | 0.295680i | ||||
\(765\) | 2.06831e6 | − | 3.62623e6i | 0.127780 | − | 0.224028i | ||||
\(766\) | 1.07888e6 | + | 3.70531e6i | 0.0664355 | + | 0.228167i | ||||
\(767\) | −1.98290e7 | + | 3.43449e7i | −1.21706 | + | 2.10802i | ||||
\(768\) | −1.25174e7 | + | 1.05117e7i | −0.765792 | + | 0.643088i | ||||
\(769\) | −9.29907e6 | − | 1.61065e7i | −0.567053 | − | 0.982164i | −0.996855 | − | 0.0792415i | \(-0.974750\pi\) |
0.429803 | − | 0.902923i | \(-0.358583\pi\) | |||||||
\(770\) | −196237. | + | 204878.i | −0.0119276 | + | 0.0124528i | ||||
\(771\) | −1.50784e7 | + | 39568.7i | −0.913525 | + | 0.00239726i | ||||
\(772\) | −1.19244e6 | − | 2.76656e7i | −0.0720103 | − | 1.67069i | ||||
\(773\) | 1.48809e7i | 0.895736i | 0.894100 | + | 0.447868i | \(0.147816\pi\) | ||||
−0.894100 | + | 0.447868i | \(0.852184\pi\) | |||||||
\(774\) | −6.10071e6 | + | 2.54793e7i | −0.366040 | + | 1.52875i | ||||
\(775\) | 1.22706e7i | 0.733858i | ||||||||
\(776\) | 1.06168e7 | − | 3.59402e6i | 0.632908 | − | 0.214253i | ||||
\(777\) | 249353. | + | 429287.i | 0.0148171 | + | 0.0255091i | ||||
\(778\) | 2.12156e7 | + | 2.03209e7i | 1.25663 | + | 1.20363i | ||||
\(779\) | −5.52391e6 | − | 9.56770e6i | −0.326139 | − | 0.564890i | ||||
\(780\) | −739605. | − | 1.61728e7i | −0.0435274 | − | 0.951808i | ||||
\(781\) | −1.59013e7 | + | 2.75419e7i | −0.932838 | + | 1.61572i | ||||
\(782\) | −5.73622e6 | + | 1.67022e6i | −0.335436 | + | 0.0976690i | ||||
\(783\) | 585271. | − | 1.03241e6i | 0.0341156 | − | 0.0601791i | ||||
\(784\) | 7.28622e6 | − | 1.55799e7i | 0.423362 | − | 0.905265i | ||||
\(785\) | 371556. | + | 214518.i | 0.0215204 | + | 0.0124248i | ||||
\(786\) | −1.16943e6 | + | 4.82806e6i | −0.0675175 | + | 0.278751i | ||||
\(787\) | 2.29308e7 | − | 1.32391e7i | 1.31972 | − | 0.761943i | 0.336040 | − | 0.941848i | \(-0.390912\pi\) |
0.983684 | + | 0.179904i | \(0.0575788\pi\) | |||||||
\(788\) | −3.63949e6 | + | 6.98189e6i | −0.208798 | + | 0.400551i | ||||
\(789\) | −1.25162e7 | + | 7.27008e6i | −0.715779 | + | 0.415764i | ||||
\(790\) | −1.30091e7 | − | 3.18716e6i | −0.741619 | − | 0.181692i | ||||
\(791\) | 123220. | 0.00700226 | ||||||||
\(792\) | 1.62207e7 | + | 1.40990e7i | 0.918873 | + | 0.798687i | ||||
\(793\) | 7.84105e6 | 0.442783 | ||||||||
\(794\) | 2.37455e7 | + | 5.81750e6i | 1.33669 | + | 0.327480i | ||||
\(795\) | −15089.8 | − | 5.75026e6i | −0.000846768 | − | 0.322678i | ||||
\(796\) | −4.19086e6 | + | 8.03962e6i | −0.234434 | + | 0.449731i | ||||
\(797\) | −70624.5 | + | 40775.1i | −0.00393831 | + | 0.00227378i | −0.501968 | − | 0.864886i | \(-0.667390\pi\) |
0.498030 | + | 0.867160i | \(0.334057\pi\) | |||||||
\(798\) | −299149. | + | 87955.6i | −0.0166295 | + | 0.00488941i | ||||
\(799\) | 1.05833e7 | + | 6.11025e6i | 0.586479 | + | 0.338604i | ||||
\(800\) | 1.21893e7 | + | 1.89353e6i | 0.673372 | + | 0.104603i | ||||
\(801\) | −2.65876e7 | + | 1.55370e7i | −1.46419 | + | 0.855629i | ||||
\(802\) | −1.33951e7 | + | 3.90026e6i | −0.735377 | + | 0.214120i | ||||
\(803\) | −2.96976e6 | + | 5.14378e6i | −0.162530 | + | 0.281510i | ||||
\(804\) | −2.26617e6 | − | 1.17375e6i | −0.123638 | − | 0.0640375i | ||||
\(805\) | 99548.9 | + | 172424.i | 0.00541435 | + | 0.00937793i | ||||
\(806\) | −2.42142e7 | − | 2.31930e7i | −1.31290 | − | 1.25753i | ||||
\(807\) | 9.43429e6 | − | 1.64401e7i | 0.509947 | − | 0.888632i | ||||
\(808\) | −5.07634e6 | − | 1.49956e7i | −0.273541 | − | 0.808046i | ||||
\(809\) | − | 2.33658e7i | − | 1.25519i | −0.778540 | − | 0.627595i | \(-0.784040\pi\) | ||
0.778540 | − | 0.627595i | \(-0.215960\pi\) | |||||||
\(810\) | −2.40026e6 | + | 1.02621e7i | −0.128542 | + | 0.549572i | ||||
\(811\) | 2.11526e7i | 1.12930i | 0.825329 | + | 0.564652i | \(0.190990\pi\) | ||||
−0.825329 | + | 0.564652i | \(0.809010\pi\) | |||||||
\(812\) | −1404.51 | − | 32585.6i | −7.47538e−5 | − | 0.00173435i | ||||
\(813\) | 1.57110e7 | − | 2.73779e7i | 0.833637 | − | 1.45269i | ||||
\(814\) | 1.87150e7 | − | 1.95391e7i | 0.989987 | − | 1.03358i | ||||
\(815\) | −7.46759e6 | − | 1.29342e7i | −0.393810 | − | 0.682098i | ||||
\(816\) | −8.65736e6 | + | 770581.i | −0.455156 | + | 0.0405129i | ||||
\(817\) | −1.03579e7 | + | 1.79404e7i | −0.542894 | + | 0.940320i | ||||
\(818\) | 5.97102e6 | + | 2.05069e7i | 0.312008 | + | 1.07156i | ||||
\(819\) | −702116. | + | 410295.i | −0.0365763 | + | 0.0213740i | ||||
\(820\) | −8.65839e6 | + | 5.50921e6i | −0.449679 | + | 0.286124i | ||||
\(821\) | 1.27326e7 | + | 7.35120e6i | 0.659266 | + | 0.380627i | 0.791997 | − | 0.610525i | \(-0.209041\pi\) |
−0.132731 | + | 0.991152i | \(0.542375\pi\) | |||||||
\(822\) | 1.04832e7 | + | 3.56548e7i | 0.541146 | + | 1.84051i | ||||
\(823\) | 7.60185e6 | − | 4.38893e6i | 0.391219 | − | 0.225870i | −0.291469 | − | 0.956580i | \(-0.594144\pi\) |
0.682688 | + | 0.730710i | \(0.260811\pi\) | |||||||
\(824\) | 1.89338e7 | + | 3.78265e6i | 0.971451 | + | 0.194079i | ||||
\(825\) | −42561.7 | − | 1.62190e7i | −0.00217713 | − | 0.829638i | ||||
\(826\) | 168834. | − | 689133.i | 0.00861011 | − | 0.0351442i | ||||
\(827\) | −1.32716e7 | −0.674774 | −0.337387 | − | 0.941366i | \(-0.609543\pi\) | ||||
−0.337387 | + | 0.941366i | \(0.609543\pi\) | |||||||
\(828\) | 1.26826e7 | − | 8.16357e6i | 0.642882 | − | 0.413813i | ||||
\(829\) | 2.90903e6 | 0.147015 | 0.0735075 | − | 0.997295i | \(-0.476581\pi\) | ||||
0.0735075 | + | 0.997295i | \(0.476581\pi\) | |||||||
\(830\) | 2.17275e6 | − | 8.86858e6i | 0.109475 | − | 0.446847i | ||||
\(831\) | 5.19970e6 | − | 3.02027e6i | 0.261202 | − | 0.151720i | ||||
\(832\) | −2.67759e7 | + | 2.04748e7i | −1.34102 | + | 1.02544i | ||||
\(833\) | 7.92033e6 | − | 4.57280e6i | 0.395486 | − | 0.228334i | ||||
\(834\) | −3.29057e7 | − | 7.97023e6i | −1.63816 | − | 0.396785i | ||||
\(835\) | 4.09140e6 | + | 2.36217e6i | 0.203075 | + | 0.117245i | ||||
\(836\) | 9.12250e6 | + | 1.43371e7i | 0.451438 | + | 0.709489i | ||||
\(837\) | 1.10619e7 | + | 1.88162e7i | 0.545780 | + | 0.928363i | ||||
\(838\) | −3.11407e6 | − | 1.06950e7i | −0.153186 | − | 0.526103i | ||||
\(839\) | 7.37154e6 | − | 1.27679e7i | 0.361537 | − | 0.626201i | −0.626677 | − | 0.779279i | \(-0.715585\pi\) |
0.988214 | + | 0.153078i | \(0.0489187\pi\) | |||||||
\(840\) | 93593.9 | + | 274108.i | 0.00457667 | + | 0.0134037i | ||||
\(841\) | −1.02065e7 | − | 1.76782e7i | −0.497607 | − | 0.861881i | ||||
\(842\) | −3.42087e6 | + | 3.57149e6i | −0.166286 | + | 0.173608i | ||||
\(843\) | −1.28957e6 | − | 2.22012e6i | −0.0624994 | − | 0.107599i | ||||
\(844\) | −1.36564e7 | + | 588620.i | −0.659905 | + | 0.0284432i | ||||
\(845\) | − | 2.16707e7i | − | 1.04408i | ||||||
\(846\) | −3.00033e7 | − | 7.18392e6i | −1.44126 | − | 0.345093i | ||||
\(847\) | − | 252663.i | − | 0.0121013i | ||||||
\(848\) | −9.81463e6 | + | 6.85597e6i | −0.468689 | + | 0.327400i | ||||
\(849\) | −7.95359e6 | + | 20871.7i | −0.378699 | + | 0.000993778i | ||||
\(850\) | 4.73689e6 | + | 4.53712e6i | 0.224878 | + | 0.215394i | ||||
\(851\) | −9.49391e6 | − | 1.64439e7i | −0.449388 | − | 0.778363i | ||||
\(852\) | 1.75025e7 | + | 2.73485e7i | 0.826039 | + | 1.29073i | ||||
\(853\) | 2.06240e7 | − | 3.57217e7i | 0.970508 | − | 1.68097i | 0.276484 | − | 0.961019i | \(-0.410831\pi\) |
0.694024 | − | 0.719951i | \(-0.255836\pi\) | |||||||
\(854\) | −134689. | + | 39217.5i | −0.00631957 | + | 0.00184007i | ||||
\(855\) | −4.12865e6 | + | 7.23850e6i | −0.193149 | + | 0.338636i | ||||
\(856\) | 3.66467e6 | + | 3.21926e6i | 0.170943 | + | 0.150166i | ||||
\(857\) | −2.34826e7 | − | 1.35577e7i | −1.09218 | − | 0.630571i | −0.158025 | − | 0.987435i | \(-0.550513\pi\) |
−0.934156 | + | 0.356864i | \(0.883846\pi\) | |||||||
\(858\) | 3.20861e7 | + | 3.05719e7i | 1.48799 | + | 1.41776i | ||||
\(859\) | −2.06184e7 | + | 1.19041e7i | −0.953395 | + | 0.550443i | −0.894134 | − | 0.447800i | \(-0.852208\pi\) |
−0.0592610 | + | 0.998243i | \(0.518874\pi\) | |||||||
\(860\) | 1.70640e7 | + | 8.89504e6i | 0.786744 | + | 0.410111i | ||||
\(861\) | 447099. | + | 256571.i | 0.0205540 | + | 0.0117950i | ||||
\(862\) | 9.35477e6 | + | 2.29186e6i | 0.428810 | + | 0.105056i | ||||
\(863\) | −1.77520e6 | −0.0811371 | −0.0405685 | − | 0.999177i | \(-0.512917\pi\) | ||||
−0.0405685 | + | 0.999177i | \(0.512917\pi\) | |||||||
\(864\) | 2.03986e7 | − | 8.08507e6i | 0.929641 | − | 0.368468i | ||||
\(865\) | −5.36236e6 | −0.243678 | ||||||||
\(866\) | 6.57406e6 | + | 1.61061e6i | 0.297878 | + | 0.0729785i | ||||
\(867\) | 1.51885e7 | + | 8.71605e6i | 0.686228 | + | 0.393797i | ||||
\(868\) | 531938. | + | 277287.i | 0.0239641 | + | 0.0124919i | ||||
\(869\) | 3.17531e7 | − | 1.83326e7i | 1.42638 | − | 0.823523i | ||||
\(870\) | −631068. | − | 601286.i | −0.0282669 | − | 0.0269329i | ||||
\(871\) | −4.55770e6 | − | 2.63139e6i | −0.203564 | − | 0.117528i | ||||
\(872\) | −9.69703e6 | − | 8.51843e6i | −0.431864 | − | 0.379375i | ||||
\(873\) | −1.50463e7 | + | 78969.0i | −0.668180 | + | 0.00350688i | ||||
\(874\) | 1.14503e7 | − | 3.33401e6i | 0.507037 | − | 0.147634i | ||||
\(875\) | 269677. | − | 467094.i | 0.0119076 | − | 0.0206245i | ||||
\(876\) | 3.26879e6 | + | 5.10765e6i | 0.143922 | + | 0.224885i | ||||
\(877\) | −1.80935e7 | − | 3.13389e7i | −0.794373 | − | 1.37589i | −0.923237 | − | 0.384231i | \(-0.874467\pi\) |
0.128864 | − | 0.991662i | \(-0.458867\pi\) | |||||||
\(878\) | 1.00750e7 | + | 9.65006e6i | 0.441069 | + | 0.422468i | ||||
\(879\) | 1.84954e7 | − | 48535.3i | 0.807403 | − | 0.00211878i | ||||
\(880\) | 1.29407e7 | − | 9.03968e6i | 0.563315 | − | 0.393501i | ||||
\(881\) | 4.28630e7i | 1.86056i | 0.366855 | + | 0.930278i | \(0.380434\pi\) | ||||
−0.366855 | + | 0.930278i | \(0.619566\pi\) | |||||||
\(882\) | −1.58830e7 | + | 1.67575e7i | −0.687482 | + | 0.725334i | ||||
\(883\) | − | 1.61400e7i | − | 0.696628i | −0.937378 | − | 0.348314i | \(-0.886754\pi\) | ||
0.937378 | − | 0.348314i | \(-0.113246\pi\) | |||||||
\(884\) | −1.79066e7 | + | 771811.i | −0.770696 | + | 0.0332185i | ||||
\(885\) | −9.52395e6 | − | 1.63964e7i | −0.408751 | − | 0.703706i | ||||
\(886\) | −1.92328e7 | + | 2.00797e7i | −0.823112 | + | 0.859354i | ||||
\(887\) | 1.19750e7 | + | 2.07414e7i | 0.511055 | + | 0.885173i | 0.999918 | + | 0.0128126i | \(0.00407849\pi\) |
−0.488863 | + | 0.872361i | \(0.662588\pi\) | |||||||
\(888\) | −8.92599e6 | − | 2.61415e7i | −0.379860 | − | 1.11250i | ||||
\(889\) | 107989. | − | 187043.i | 0.00458276 | − | 0.00793757i | ||||
\(890\) | 6.32315e6 | + | 2.17163e7i | 0.267583 | + | 0.918989i | ||||
\(891\) | −1.46867e7 | − | 2.48324e7i | −0.619768 | − | 1.04791i | ||||
\(892\) | −1.55895e7 | − | 2.45008e7i | −0.656024 | − | 1.03102i | ||||
\(893\) | −2.11258e7 | − | 1.21970e7i | −0.886510 | − | 0.511827i | ||||
\(894\) | −2.80331e7 | − | 6.79001e6i | −1.17308 | − | 0.284136i | ||||
\(895\) | 2.50904e6 | − | 1.44859e6i | 0.104701 | − | 0.0604489i | ||||
\(896\) | 357535. | − | 485625.i | 0.0148782 | − | 0.0202084i | ||||
\(897\) | 2.68950e7 | − | 1.56221e7i | 1.11607 | − | 0.648272i | ||||
\(898\) | −128636. | + | 525059.i | −0.00532320 | + | 0.0217279i | ||||
\(899\) | −1.80525e6 | −0.0744969 | ||||||||
\(900\) | −1.47239e7 | − | 7.57720e6i | −0.605921 | − | 0.311819i | ||||
\(901\) | −6.36600e6 | −0.261249 | ||||||||
\(902\) | 6.68499e6 | − | 2.72863e7i | 0.273580 | − | 1.11668i | ||||
\(903\) | −2536.49 | − | 966582.i | −0.000103518 | − | 0.0394475i | ||||
\(904\) | −6.72328e6 | − | 1.34319e6i | −0.273628 | − | 0.0546660i | ||||
\(905\) | −1.75083e7 | + | 1.01084e7i | −0.710594 | + | 0.410262i | ||||
\(906\) | −1.08188e7 | − | 3.67961e7i | −0.437883 | − | 1.48930i | ||||
\(907\) | 2.47076e7 | + | 1.42649e7i | 0.997268 | + | 0.575773i | 0.907439 | − | 0.420185i | \(-0.138035\pi\) |
0.0898289 | + | 0.995957i | \(0.471368\pi\) | |||||||
\(908\) | 1.05750e7 | − | 6.72873e6i | 0.425663 | − | 0.270843i | ||||
\(909\) | 111539. | + | 2.12520e7i | 0.00447731 | + | 0.853079i | ||||
\(910\) | 166980. | + | 573476.i | 0.00668436 | + | 0.0229568i | ||||
\(911\) | 2.43656e7 | − | 4.22025e7i | 0.972705 | − | 1.68477i | 0.285396 | − | 0.958410i | \(-0.407875\pi\) |
0.687309 | − | 0.726365i | \(-0.258792\pi\) | |||||||
\(912\) | 1.72814e7 | − | 1.53819e6i | 0.688004 | − | 0.0612384i | ||||
\(913\) | 1.24977e7 | + | 2.16467e7i | 0.496197 | + | 0.859438i | ||||
\(914\) | −1.29499e7 | + | 1.35200e7i | −0.512743 | + | 0.535319i | ||||
\(915\) | −1.86600e6 | + | 3.25168e6i | −0.0736815 | + | 0.128397i | ||||
\(916\) | −663466. | − | 1.53929e7i | −0.0261264 | − | 0.606154i | ||||
\(917\) | − | 183274.i | − | 0.00719741i | ||||||
\(918\) | 1.13539e7 | + | 2.68708e6i | 0.444672 | + | 0.105238i | ||||
\(919\) | 6.66802e6i | 0.260440i | 0.991485 | + | 0.130220i | \(0.0415684\pi\) | ||||
−0.991485 | + | 0.130220i | \(0.958432\pi\) | |||||||
\(920\) | −3.55217e6 | − | 1.04932e7i | −0.138364 | − | 0.408731i | ||||
\(921\) | 1.09641e7 | − | 1.91060e7i | 0.425916 | − | 0.742199i | ||||
\(922\) | 2.47128e6 | + | 2.36705e6i | 0.0957401 | + | 0.0917024i | ||||
\(923\) | 3.34785e7 | + | 5.79864e7i | 1.29349 | + | 2.24038i | ||||
\(924\) | −704064. | − | 364666.i | −0.0271289 | − | 0.0140513i | ||||
\(925\) | −1.04232e7 | + | 1.80536e7i | −0.400542 | + | 0.693758i | ||||
\(926\) | 5.09915e6 | − | 1.48472e6i | 0.195421 | − | 0.0569008i | ||||
\(927\) | −2.25142e7 | − | 1.28415e7i | −0.860514 | − | 0.490814i | ||||
\(928\) | −278575. | + | 1.79329e6i | −0.0106187 | + | 0.0683567i | ||||
\(929\) | −9.99691e6 | − | 5.77172e6i | −0.380038 | − | 0.219415i | 0.297797 | − | 0.954629i | \(-0.403748\pi\) |
−0.677835 | + | 0.735214i | \(0.737081\pi\) | |||||||
\(930\) | 1.53806e7 | − | 4.52219e6i | 0.583130 | − | 0.171452i | ||||
\(931\) | −1.58101e7 | + | 9.12799e6i | −0.597808 | + | 0.345144i | ||||
\(932\) | 7.49702e6 | − | 1.43821e7i | 0.282715 | − | 0.542352i | ||||
\(933\) | 25793.1 | + | 9.82899e6i | 0.000970063 | + | 0.369662i | ||||
\(934\) | 3.31473e7 | + | 8.12090e6i | 1.24332 | + | 0.304605i | ||||
\(935\) | 8.39364e6 | 0.313994 | ||||||||
\(936\) | 4.27824e7 | − | 1.47335e7i | 1.59616 | − | 0.549687i | ||||
\(937\) | 129328. | 0.00481219 | 0.00240609 | − | 0.999997i | \(-0.499234\pi\) | ||||
0.00240609 | + | 0.999997i | \(0.499234\pi\) | |||||||
\(938\) | 91450.7 | + | 22404.9i | 0.00339375 | + | 0.000831449i | ||||
\(939\) | 5.31739e6 | − | 3.08863e6i | 0.196804 | − | 0.114315i | ||||
\(940\) | −1.04744e7 | + | 2.00937e7i | −0.386642 | + | 0.741722i | ||||
\(941\) | −1.98367e7 | + | 1.14527e7i | −0.730291 | + | 0.421633i | −0.818528 | − | 0.574466i | \(-0.805210\pi\) |
0.0882379 | + | 0.996099i | \(0.471876\pi\) | |||||||
\(942\) | −282278. | + | 1.16541e6i | −0.0103645 | + | 0.0427908i | ||||
\(943\) | −1.70744e7 | − | 9.85790e6i | −0.625268 | − | 0.360998i | ||||
\(944\) | −1.67242e7 | + | 3.57610e7i | −0.610825 | + | 1.30611i | ||||
\(945\) | −3060.98 | − | 388809.i | −0.000111502 | − | 0.0141630i | ||||
\(946\) | −5.05773e7 | + | 1.47266e7i | −1.83750 | + | 0.535026i | ||||
\(947\) | −1.99508e7 | + | 3.45559e7i | −0.722914 | + | 1.25212i | 0.236914 | + | 0.971531i | \(0.423864\pi\) |
−0.959827 | + | 0.280592i | \(0.909469\pi\) | |||||||
\(948\) | −1.71013e6 | − | 3.73952e7i | −0.0618029 | − | 1.35143i | ||||
\(949\) | 6.25249e6 | + | 1.08296e7i | 0.225366 | + | 0.390345i | ||||
\(950\) | −9.45554e6 | − | 9.05676e6i | −0.339920 | − | 0.325585i | ||||
\(951\) | 1.27989e6 | + | 2.20346e6i | 0.0458903 | + | 0.0790048i | ||||
\(952\) | 303730. | − | 102819.i | 0.0108616 | − | 0.00367689i | ||||
\(953\) | 3.01554e7i | 1.07556i | 0.843086 | + | 0.537778i | \(0.180736\pi\) | ||||
−0.843086 | + | 0.537778i | \(0.819264\pi\) | |||||||
\(954\) | 1.54067e7 | − | 4.57384e6i | 0.548075 | − | 0.162709i | ||||
\(955\) | − | 8.76162e6i | − | 0.310868i | ||||||
\(956\) | 413753. | + | 9.59940e6i | 0.0146419 | + | 0.339703i | ||||
\(957\) | 2.38614e6 | − | 6261.67i | 0.0842200 | − | 0.000221009i | ||||
\(958\) | 1.16076e7 | − | 1.21187e7i | 0.408628 | − | 0.426621i | ||||
\(959\) | −685550. | − | 1.18741e6i | −0.0240709 | − | 0.0416920i | ||||
\(960\) | −2.11880e6 | − | 1.59765e7i | −0.0742013 | − | 0.559505i | ||||
\(961\) | 2.28653e6 | − | 3.96039e6i | 0.0798673 | − | 0.138334i | ||||
\(962\) | −1.59247e7 | − | 5.46921e7i | −0.554798 | − | 1.90540i | ||||
\(963\) | −3.30373e6 | − | 5.65350e6i | −0.114799 | − | 0.196450i | ||||
\(964\) | −1.44141e7 | + | 9.17152e6i | −0.499570 | + | 0.317869i | ||||
\(965\) | 2.36450e7 | + | 1.36514e7i | 0.817374 | + | 0.471911i | ||||
\(966\) | −383851. | + | 402864.i | −0.0132349 | + | 0.0138904i | ||||
\(967\) | −4.48583e6 | + | 2.58989e6i | −0.154268 | + | 0.0890668i | −0.575147 | − | 0.818050i | \(-0.695055\pi\) |
0.420879 | + | 0.907117i | \(0.361722\pi\) | |||||||
\(968\) | −2.75423e6 | + | 1.37861e7i | −0.0944739 | + | 0.472884i | ||||
\(969\) | 8.00155e6 | + | 4.59174e6i | 0.273757 | + | 0.157097i | ||||
\(970\) | −2.62976e6 | + | 1.07340e7i | −0.0897403 | + | 0.366296i | ||||
\(971\) | 1.12452e7 | 0.382754 | 0.191377 | − | 0.981517i | \(-0.438705\pi\) | ||||
0.191377 | + | 0.981517i | \(0.438705\pi\) | |||||||
\(972\) | −2.94090e7 | + | 1.65441e6i | −0.998421 | + | 0.0561667i | ||||
\(973\) | 1.24910e6 | 0.0422976 | ||||||||
\(974\) | −9.69069e6 | + | 3.95548e7i | −0.327308 | + | 1.33598i | ||||
\(975\) | −2.96172e7 | − | 1.69960e7i | −0.997774 | − | 0.572579i | ||||
\(976\) | 7.77659e6 | − | 671621.i | 0.261315 | − | 0.0225683i | ||||
\(977\) | 4.56993e7 | − | 2.63845e7i | 1.53170 | − | 0.884327i | 0.532415 | − | 0.846483i | \(-0.321285\pi\) |
0.999284 | − | 0.0378433i | \(-0.0120488\pi\) | |||||||
\(978\) | 2.87943e7 | − | 3.02205e7i | 0.962631 | − | 1.01031i | ||||
\(979\) | −5.36212e7 | − | 3.09582e7i | −1.78805 | − | 1.03233i | ||||
\(980\) | 9.10370e6 | + | 1.43075e7i | 0.302798 | + | 0.475883i | ||||
\(981\) | 8.74194e6 | + | 1.49596e7i | 0.290025 | + | 0.496304i | ||||
\(982\) | 6.15267e6 | + | 2.11308e7i | 0.203603 | + | 0.699257i | ||||
\(983\) | 1.64557e7 | − | 2.85021e7i | 0.543166 | − | 0.940790i | −0.455554 | − | 0.890208i | \(-0.650559\pi\) |
0.998720 | − | 0.0505824i | \(-0.0161078\pi\) | |||||||
\(984\) | −2.15984e7 | − | 1.88731e7i | −0.711105 | − | 0.621377i | ||||
\(985\) | −3.88155e6 | − | 6.72304e6i | −0.127472 | − | 0.220788i | ||||
\(986\) | −667501. | + | 696891.i | −0.0218655 | + | 0.0228283i | ||||
\(987\) | 1.13820e6 | − | 2986.86i | 0.0371901 | − | 9.75938e-5i | ||||
\(988\) | 3.57443e7 | − | 1.54065e6i | 1.16497 | − | 0.0502125i | ||||
\(989\) | 3.69690e7i | 1.20184i | ||||||||
\(990\) | −2.03140e7 | + | 6.03066e6i | −0.658729 | + | 0.195559i | ||||
\(991\) | 3.03835e7i | 0.982775i | 0.870941 | + | 0.491388i | \(0.163510\pi\) | ||||
−0.870941 | + | 0.491388i | \(0.836490\pi\) | |||||||
\(992\) | −2.60017e7 | − | 2.09283e7i | −0.838924 | − | 0.675234i | ||||
\(993\) | 6.29344e6 | + | 1.08348e7i | 0.202542 | + | 0.348696i | ||||
\(994\) | −865097. | − | 828613.i | −0.0277715 | − | 0.0266002i | ||||
\(995\) | −4.46959e6 | − | 7.74156e6i | −0.143123 | − | 0.247897i | ||||
\(996\) | 2.54930e7 | − | 1.16583e6i | 0.814278 | − | 0.0372380i | ||||
\(997\) | −2.34281e7 | + | 4.05786e7i | −0.746447 | + | 1.29288i | 0.203069 | + | 0.979164i | \(0.434908\pi\) |
−0.949516 | + | 0.313719i | \(0.898425\pi\) | |||||||
\(998\) | −1.98503e7 | + | 5.77982e6i | −0.630870 | + | 0.183691i | ||||
\(999\) | 291924. | + | 3.70805e7i | 0.00925456 | + | 1.17552i |
(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 | 36.6.h.a.11.3 | ✓ | 56 | |
3.2 | odd | 2 | 108.6.h.a.35.26 | 56 | |||
4.3 | odd | 2 | inner | 36.6.h.a.11.8 | yes | 56 | |
9.4 | even | 3 | 108.6.h.a.71.21 | 56 | |||
9.5 | odd | 6 | inner | 36.6.h.a.23.8 | yes | 56 | |
12.11 | even | 2 | 108.6.h.a.35.21 | 56 | |||
36.23 | even | 6 | inner | 36.6.h.a.23.3 | yes | 56 | |
36.31 | odd | 6 | 108.6.h.a.71.26 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.6.h.a.11.3 | ✓ | 56 | 1.1 | even | 1 | trivial | |
36.6.h.a.11.8 | yes | 56 | 4.3 | odd | 2 | inner | |
36.6.h.a.23.3 | yes | 56 | 36.23 | even | 6 | inner | |
36.6.h.a.23.8 | yes | 56 | 9.5 | odd | 6 | inner | |
108.6.h.a.35.21 | 56 | 12.11 | even | 2 | |||
108.6.h.a.35.26 | 56 | 3.2 | odd | 2 | |||
108.6.h.a.71.21 | 56 | 9.4 | even | 3 | |||
108.6.h.a.71.26 | 56 | 36.31 | odd | 6 |