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 | 23.8 | ||
Character | \(\chi\) | \(=\) | 36.23 |
Dual form | 36.6.h.a.11.8 |
$q$-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 \(\left(\mathbb{Z}/36\mathbb{Z}\right)^\times\).
\(n\) | \(19\) | \(29\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.91293 | + | 4.08522i | −0.691715 | + | 0.722171i | ||||
\(3\) | −13.5204 | + | 7.75878i | −0.867335 | + | 0.497726i | ||||
\(4\) | −1.37798 | − | 31.9703i | −0.0430620 | − | 0.999072i | ||||
\(5\) | −27.3241 | − | 15.7756i | −0.488788 | − | 0.282202i | 0.235283 | − | 0.971927i | \(-0.424398\pi\) |
−0.724072 | + | 0.689725i | \(0.757732\pi\) | |||||||
\(6\) | 21.2081 | − | 85.5933i | 0.240505 | − | 0.970648i | ||||
\(7\) | −2.81745 | + | 1.62665i | −0.0217325 | + | 0.0125473i | −0.510827 | − | 0.859684i | \(-0.670661\pi\) |
0.489094 | + | 0.872231i | \(0.337327\pi\) | |||||||
\(8\) | 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 | 0.991449 | + | 0.130492i | \(0.0416557\pi\) |
−0.382715 | + | 0.923866i | \(0.625011\pi\) | |||||||
\(12\) | 266.681 | + | 421.560i | 0.534613 | + | 0.845097i | ||||
\(13\) | 514.329 | − | 890.844i | 0.844078 | − | 1.46199i | −0.0423410 | − | 0.999103i | \(-0.513482\pi\) |
0.886419 | − | 0.462883i | \(-0.153185\pi\) | |||||||
\(14\) | 4.37923 | − | 17.8749i | 0.00597143 | − | 0.0243738i | ||||
\(15\) | 491.832 | + | 1.29066i | 0.564402 | + | 0.00148110i | ||||
\(16\) | −1020.20 | + | 88.1092i | −0.996291 | + | 0.0860441i | ||||
\(17\) | − | 544.497i | − | 0.456955i | −0.973549 | − | 0.228478i | \(-0.926625\pi\) | ||
0.973549 | − | 0.228478i | \(-0.0733748\pi\) | |||||||
\(18\) | 377.357 | + | 1321.81i | 0.274518 | + | 0.961582i | ||||
\(19\) | − | 1086.90i | − | 0.690724i | −0.938470 | − | 0.345362i | \(-0.887756\pi\) | ||
0.938470 | − | 0.345362i | \(-0.112244\pi\) | |||||||
\(20\) | −466.698 | + | 895.298i | −0.260892 | + | 0.500487i | ||||
\(21\) | 25.4722 | − | 43.8530i | 0.0126043 | − | 0.0216995i | ||||
\(22\) | −2684.46 | − | 657.677i | −1.18250 | − | 0.289705i | ||||
\(23\) | 969.831 | − | 1679.80i | 0.382275 | − | 0.662121i | −0.609112 | − | 0.793084i | \(-0.708474\pi\) |
0.991387 | + | 0.130964i | \(0.0418072\pi\) | |||||||
\(24\) | −2765.67 | − | 560.084i | −0.980104 | − | 0.198484i | ||||
\(25\) | −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 | −0.529655 | − | 0.848213i | \(-0.677679\pi\) |
0.469746 | + | 0.882801i | \(0.344345\pi\) | |||||||
\(30\) | −1929.78 | + | 2004.19i | −0.391475 | + | 0.406570i | ||||
\(31\) | −4990.16 | − | 2881.07i | −0.932631 | − | 0.538455i | −0.0449884 | − | 0.998988i | \(-0.514325\pi\) |
−0.887643 | + | 0.460533i | \(0.847658\pi\) | |||||||
\(32\) | 3632.03 | − | 4512.51i | 0.627011 | − | 0.779011i | ||||
\(33\) | −6585.87 | − | 3825.43i | −1.05276 | − | 0.611499i | ||||
\(34\) | 2224.39 | + | 2130.58i | 0.330000 | + | 0.316082i | ||||
\(35\) | 102.646 | 0.0141635 | ||||||||
\(36\) | −6876.43 | − | 3630.54i | −0.884315 | − | 0.466891i | ||||
\(37\) | 9789.25 | 1.17556 | 0.587780 | − | 0.809021i | \(-0.300002\pi\) | ||||
0.587780 | + | 0.809021i | \(0.300002\pi\) | |||||||
\(38\) | 4440.21 | + | 4252.95i | 0.498821 | + | 0.477784i | ||||
\(39\) | −42.0792 | + | 16035.1i | −0.00443003 | + | 1.68815i | ||||
\(40\) | −1831.33 | − | 5409.80i | −0.180974 | − | 0.534603i | ||||
\(41\) | 8802.77 | + | 5082.28i | 0.817823 | + | 0.472171i | 0.849665 | − | 0.527322i | \(-0.176804\pi\) |
−0.0318420 | + | 0.999493i | \(0.510137\pi\) | |||||||
\(42\) | 79.4780 | + | 275.653i | 0.00695222 | + | 0.0241123i | ||||
\(43\) | 16506.0 | − | 9529.76i | 1.36136 | − | 0.785979i | 0.371551 | − | 0.928413i | \(-0.378826\pi\) |
0.989804 | + | 0.142434i | \(0.0454928\pi\) | |||||||
\(44\) | 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 | −0.952040 | − | 0.305973i | \(-0.901018\pi\) |
0.211040 | − | 0.977477i | \(-0.432315\pi\) | |||||||
\(48\) | 13109.9 | − | 9106.79i | 0.821291 | − | 0.570509i | ||||
\(49\) | −8398.21 | + | 14546.1i | −0.499685 | + | 0.865480i | ||||
\(50\) | 11700.4 | + | 2866.53i | 0.661874 | + | 0.162155i | ||||
\(51\) | 4224.63 | + | 7361.83i | 0.227438 | + | 0.396333i | ||||
\(52\) | −29189.3 | − | 15215.7i | −1.49698 | − | 0.780339i | ||||
\(53\) | − | 11691.5i | − | 0.571717i | −0.958272 | − | 0.285858i | \(-0.907721\pi\) | ||
0.958272 | − | 0.285858i | \(-0.0922787\pi\) | |||||||
\(54\) | −15357.6 | − | 14943.5i | −0.716703 | − | 0.697378i | ||||
\(55\) | − | 15415.4i | − | 0.687144i | ||||||
\(56\) | −577.499 | − | 115.374i | −0.0246083 | − | 0.00491631i | ||||
\(57\) | 8432.99 | + | 14695.3i | 0.343791 | + | 0.599089i | ||||
\(58\) | 421.723 | − | 1721.36i | 0.0164610 | − | 0.0671895i | ||||
\(59\) | −19276.6 | + | 33388.1i | −0.720942 | + | 1.24871i | 0.239680 | + | 0.970852i | \(0.422957\pi\) |
−0.960622 | + | 0.277857i | \(0.910376\pi\) | |||||||
\(60\) | −636.474 | − | 15725.8i | −0.0228246 | − | 0.563942i | ||||
\(61\) | 3811.30 | + | 6601.36i | 0.131144 | + | 0.227148i | 0.924118 | − | 0.382108i | \(-0.124802\pi\) |
−0.792974 | + | 0.609256i | \(0.791468\pi\) | |||||||
\(62\) | 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 | ||||
\(66\) | 41397.7 | − | 11936.1i | 1.16981 | − | 0.337288i | ||||
\(67\) | 4430.73 | + | 2558.08i | 0.120584 | + | 0.0696189i | 0.559079 | − | 0.829115i | \(-0.311155\pi\) |
−0.438495 | + | 0.898734i | \(0.644488\pi\) | |||||||
\(68\) | −17407.8 | + | 750.309i | −0.456531 | + | 0.0196774i | ||||
\(69\) | −79.3456 | + | 30236.2i | −0.00200632 | + | 0.764548i | ||||
\(70\) | −401.645 | + | 419.329i | −0.00979709 | + | 0.0102285i | ||||
\(71\) | −65091.6 | −1.53242 | −0.766212 | − | 0.642588i | \(-0.777861\pi\) | ||||
−0.766212 | + | 0.642588i | \(0.777861\pi\) | |||||||
\(72\) | 41738.5 | − | 13885.7i | 0.948869 | − | 0.315671i | ||||
\(73\) | 12156.6 | 0.266996 | 0.133498 | − | 0.991049i | \(-0.457379\pi\) | ||||
0.133498 | + | 0.991049i | \(0.457379\pi\) | |||||||
\(74\) | −38304.6 | + | 39991.2i | −0.813152 | + | 0.848956i | ||||
\(75\) | 28704.9 | + | 16673.4i | 0.589255 | + | 0.342272i | ||||
\(76\) | −34748.4 | + | 1497.73i | −0.690083 | + | 0.0297440i | ||||
\(77\) | −1376.56 | − | 794.757i | −0.0264587 | − | 0.0152759i | ||||
\(78\) | −65342.4 | − | 62916.3i | −1.21607 | − | 1.17092i | ||||
\(79\) | 64990.0 | − | 37522.0i | 1.17160 | − | 0.676423i | 0.217542 | − | 0.976051i | \(-0.430196\pi\) |
0.954056 | + | 0.299628i | \(0.0968626\pi\) | |||||||
\(80\) | 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 | \(-0.300289\pi\) |
−0.994616 | + | 0.103627i | \(0.966955\pi\) | |||||||
\(84\) | −1437.09 | − | 753.925i | −0.0222222 | − | 0.0116582i | ||||
\(85\) | −8589.76 | + | 14877.9i | −0.128954 | + | 0.223354i | ||||
\(86\) | −25655.8 | + | 104720.i | −0.374058 | + | 1.52680i | ||||
\(87\) | 2452.99 | − | 4223.07i | 0.0347454 | − | 0.0598177i | ||||
\(88\) | −17327.0 | + | 86729.3i | −0.238515 | + | 1.19388i | ||||
\(89\) | − | 126726.i | − | 1.69587i | −0.530104 | − | 0.847933i | \(-0.677847\pi\) | ||
0.530104 | − | 0.847933i | \(-0.322153\pi\) | |||||||
\(90\) | 10541.3 | − | 42070.2i | 0.137179 | − | 0.547480i | ||||
\(91\) | 3346.54i | 0.0423636i | ||||||||
\(92\) | −55040.0 | − | 28691.1i | −0.677968 | − | 0.353409i | ||||
\(93\) | 89822.5 | + | 235.711i | 1.07691 | + | 0.00282601i | ||||
\(94\) | 123314. | + | 30211.1i | 1.43943 | + | 0.352652i | ||||
\(95\) | −17146.4 | + | 29698.5i | −0.194924 | + | 0.337618i | ||||
\(96\) | −14095.0 | + | 89191.1i | −0.156094 | + | 0.987742i | ||||
\(97\) | −30959.8 | − | 53624.0i | −0.334094 | − | 0.578668i | 0.649216 | − | 0.760604i | \(-0.275097\pi\) |
−0.983310 | + | 0.181936i | \(0.941764\pi\) | |||||||
\(98\) | −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 | −0.0828340 | − | 0.996563i | \(-0.526397\pi\) |
0.821632 | + | 0.570018i | \(0.193064\pi\) | |||||||
\(102\) | −46605.3 | − | 11547.8i | −0.443543 | − | 0.109900i | ||||
\(103\) | 92372.6 | + | 53331.3i | 0.857926 | + | 0.495324i | 0.863317 | − | 0.504661i | \(-0.168383\pi\) |
−0.00539101 | + | 0.999985i | \(0.501716\pi\) | |||||||
\(104\) | 176375. | − | 59706.7i | 1.59902 | − | 0.541302i | ||||
\(105\) | −1387.81 | + | 796.404i | −0.0122845 | + | 0.00704953i | ||||
\(106\) | 47762.3 | + | 45748.0i | 0.412877 | + | 0.395465i | ||||
\(107\) | 26946.6 | 0.227533 | 0.113767 | − | 0.993508i | \(-0.463708\pi\) | ||||
0.113767 | + | 0.993508i | \(0.463708\pi\) | |||||||
\(108\) | 121141. | − | 4266.25i | 0.999380 | − | 0.0351955i | ||||
\(109\) | 71302.9 | 0.574832 | 0.287416 | − | 0.957806i | \(-0.407204\pi\) | ||||
0.287416 | + | 0.957806i | \(0.407204\pi\) | |||||||
\(110\) | 62975.2 | + | 60319.3i | 0.496235 | + | 0.475307i | ||||
\(111\) | −132355. | + | 75952.6i | −1.01960 | + | 0.585107i | ||||
\(112\) | 2731.04 | − | 1907.76i | 0.0205723 | − | 0.0143707i | ||||
\(113\) | 32800.9 | + | 18937.6i | 0.241651 | + | 0.139517i | 0.615935 | − | 0.787797i | \(-0.288778\pi\) |
−0.374284 | + | 0.927314i | \(0.622112\pi\) | |||||||
\(114\) | −93031.1 | − | 23051.0i | −0.670450 | − | 0.166122i | ||||
\(115\) | −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 | ||||
\(120\) | 66733.8 | + | 58933.8i | 0.423051 | + | 0.373604i | ||||
\(121\) | −38831.7 | + | 67258.5i | −0.241114 | + | 0.417622i | ||||
\(122\) | −41881.3 | − | 10260.7i | −0.254754 | − | 0.0624132i | ||||
\(123\) | −158449. | − | 415.801i | −0.944338 | − | 0.00247812i | ||||
\(124\) | −85232.3 | + | 163507.i | −0.497794 | + | 0.954953i | ||||
\(125\) | 165786.i | 0.949016i | ||||||||
\(126\) | −3213.30 | − | 3110.29i | −0.0180312 | − | 0.0174532i | ||||
\(127\) | − | 66387.5i | − | 0.365239i | −0.983184 | − | 0.182619i | \(-0.941542\pi\) | ||
0.983184 | − | 0.182619i | \(-0.0584576\pi\) | |||||||
\(128\) | −149271. | − | 109899.i | −0.805288 | − | 0.592883i | ||||
\(129\) | −149229. | + | 256913.i | −0.789548 | + | 1.35929i | ||||
\(130\) | 43687.7 | − | 178322.i | 0.226726 | − | 0.925434i | ||||
\(131\) | 28167.3 | − | 48787.1i | 0.143406 | − | 0.248386i | −0.785371 | − | 0.619025i | \(-0.787528\pi\) |
0.928777 | + | 0.370639i | \(0.120861\pi\) | |||||||
\(132\) | −113225. | + | 215824.i | −0.565598 | + | 1.07811i | ||||
\(133\) | 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 | −0.689346 | + | 0.724432i | \(0.742102\pi\) |
−0.972050 | + | 0.234775i | \(0.924565\pi\) | |||||||
\(138\) | −123211. | − | 118636.i | −0.550747 | − | 0.530298i | ||||
\(139\) | −332509. | − | 191974.i | −1.45971 | − | 0.842764i | −0.460713 | − | 0.887549i | \(-0.652406\pi\) |
−0.998997 | + | 0.0447857i | \(0.985739\pi\) | |||||||
\(140\) | −141.444 | − | 3281.61i | −0.000609908 | − | 0.0141503i | ||||
\(141\) | 302529. | + | 175725.i | 1.28150 | + | 0.744366i | ||||
\(142\) | 254699. | − | 265913.i | 1.06000 | − | 1.10667i | ||||
\(143\) | 502586. | 2.05528 | ||||||||
\(144\) | −106594. | + | 224845.i | −0.428378 | + | 0.903600i | ||||
\(145\) | 9884.83 | 0.0390435 | ||||||||
\(146\) | −47567.9 | + | 49662.3i | −0.184685 | + | 0.192817i | ||||
\(147\) | 687.090 | − | 261829.i | 0.00262253 | − | 0.999367i | ||||
\(148\) | −13489.4 | − | 312965.i | −0.0506220 | − | 1.17447i | ||||
\(149\) | 283272. | + | 163547.i | 1.04529 | + | 0.603499i | 0.921327 | − | 0.388788i | \(-0.127106\pi\) |
0.123964 | + | 0.992287i | \(0.460439\pi\) | |||||||
\(150\) | −180435. | + | 52024.1i | −0.654775 | + | 0.188789i | ||||
\(151\) | −376668. | + | 217470.i | −1.34436 | + | 0.776169i | −0.987444 | − | 0.157967i | \(-0.949506\pi\) |
−0.356919 | + | 0.934135i | \(0.616173\pi\) | |||||||
\(152\) | 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 | ||||
\(156\) | 512706. | − | 20750.9i | 1.68678 | − | 0.0682692i | ||||
\(157\) | −6799.06 | + | 11776.3i | −0.0220140 | + | 0.0381294i | −0.876823 | − | 0.480814i | \(-0.840341\pi\) |
0.854809 | + | 0.518944i | \(0.173675\pi\) | |||||||
\(158\) | −101016. | + | 412319.i | −0.321919 | + | 1.31399i | ||||
\(159\) | 90711.8 | + | 158074.i | 0.284558 | + | 0.495870i | ||||
\(160\) | −170429. | + | 66002.9i | −0.526314 | + | 0.203828i | ||||
\(161\) | 6310.32i | 0.0191861i | ||||||||
\(162\) | 323585. | + | 82886.2i | 0.968724 | + | 0.248139i | ||||
\(163\) | 473364.i | 1.39549i | 0.716347 | + | 0.697744i | \(0.245813\pi\) | ||||
−0.716347 | + | 0.697744i | \(0.754187\pi\) | |||||||
\(164\) | 150352. | − | 288431.i | 0.436515 | − | 0.837397i | ||||
\(165\) | 119605. | + | 208422.i | 0.342009 | + | 0.595984i | ||||
\(166\) | 281086. | + | 68864.4i | 0.791715 | + | 0.193966i | ||||
\(167\) | 74868.1 | − | 129675.i | 0.207733 | − | 0.359804i | −0.743267 | − | 0.668995i | \(-0.766725\pi\) |
0.951000 | + | 0.309191i | \(0.100058\pi\) | |||||||
\(168\) | 8703.19 | − | 2920.78i | 0.0237906 | − | 0.00798410i | ||||
\(169\) | −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 | −0.301260 | − | 0.953542i | \(-0.597407\pi\) |
0.675161 | + | 0.737670i | \(0.264074\pi\) | |||||||
\(174\) | 7653.78 | + | 26545.5i | 0.0191647 | + | 0.0664689i | ||||
\(175\) | 5999.82 | + | 3464.00i | 0.0148096 | + | 0.00855033i | ||||
\(176\) | −286509. | − | 410150.i | −0.697198 | − | 0.998070i | ||||
\(177\) | 1577.09 | − | 600983.i | 0.00378377 | − | 1.44188i | ||||
\(178\) | 517704. | + | 495870.i | 1.22470 | + | 1.17305i | ||||
\(179\) | 91825.1 | 0.214205 | 0.107102 | − | 0.994248i | \(-0.465843\pi\) | ||||
0.107102 | + | 0.994248i | \(0.465843\pi\) | |||||||
\(180\) | 130618. | + | 207681.i | 0.300485 | + | 0.477766i | ||||
\(181\) | 640763. | 1.45379 | 0.726893 | − | 0.686750i | \(-0.240963\pi\) | ||||
0.726893 | + | 0.686750i | \(0.240963\pi\) | |||||||
\(182\) | −13671.3 | − | 13094.8i | −0.0305938 | − | 0.0293035i | ||||
\(183\) | −102749. | − | 59682.1i | −0.226803 | − | 0.131740i | ||||
\(184\) | 332577. | − | 112584.i | 0.724182 | − | 0.245151i | ||||
\(185\) | −267482. | − | 154431.i | −0.574600 | − | 0.331746i | ||||
\(186\) | −352432. | + | 366022.i | −0.746952 | + | 0.775756i | ||||
\(187\) | 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 | \(-0.0778581\pi\) |
−0.694840 | + | 0.719165i | \(0.744525\pi\) | |||||||
\(192\) | −309212. | − | 406580.i | −0.605346 | − | 0.795962i | ||||
\(193\) | −432677. | + | 749418.i | −0.836123 | + | 1.44821i | 0.0569898 | + | 0.998375i | \(0.481850\pi\) |
−0.893113 | + | 0.449833i | \(0.851484\pi\) | |||||||
\(194\) | 340209. | + | 83349.2i | 0.648995 | + | 0.159000i | ||||
\(195\) | 254113. | − | 437482.i | 0.478565 | − | 0.823898i | ||||
\(196\) | 476617. | + | 248449.i | 0.886195 | + | 0.461952i | ||||
\(197\) | − | 246048.i | − | 0.451705i | −0.974162 | − | 0.225852i | \(-0.927483\pi\) | ||
0.974162 | − | 0.225852i | \(-0.0725167\pi\) | |||||||
\(198\) | −467105. | + | 482576.i | −0.846743 | + | 0.874788i | ||||
\(199\) | 283324.i | 0.507166i | 0.967314 | + | 0.253583i | \(0.0816091\pi\) | ||||
−0.967314 | + | 0.253583i | \(0.918391\pi\) | |||||||
\(200\) | 75520.8 | − | 378015.i | 0.133503 | − | 0.668243i | ||||
\(201\) | −79752.8 | − | 209.286i | −0.139237 | − | 0.000365385i | ||||
\(202\) | −117726. | + | 480525.i | −0.202999 | + | 0.828586i | ||||
\(203\) | 509.623 | − | 882.693i | 0.000867979 | − | 0.00150338i | ||||
\(204\) | 229538. | − | 145207.i | 0.386171 | − | 0.244294i | ||||
\(205\) | −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 | ||||
\(210\) | 2176.92 | − | 8785.78i | 0.00340639 | − | 0.0137478i | ||||
\(211\) | 369932. | + | 213580.i | 0.572025 | + | 0.330259i | 0.757958 | − | 0.652303i | \(-0.226197\pi\) |
−0.185932 | + | 0.982563i | \(0.559531\pi\) | |||||||
\(212\) | −373781. | + | 16110.7i | −0.571186 | + | 0.0246193i | ||||
\(213\) | 880064. | − | 505031.i | 1.32912 | − | 0.762727i | ||||
\(214\) | −105440. | + | 110083.i | −0.157388 | + | 0.164318i | ||||
\(215\) | −601350. | −0.887219 | ||||||||
\(216\) | −456586. | + | 511580.i | −0.665869 | + | 0.746069i | ||||
\(217\) | 18746.0 | 0.0270246 | ||||||||
\(218\) | −279003. | + | 291288.i | −0.397620 | + | 0.415127i | ||||
\(219\) | −164362. | + | 94320.3i | −0.231575 | + | 0.132891i | ||||
\(220\) | −492835. | + | 21242.2i | −0.686507 | + | 0.0295898i | ||||
\(221\) | −485062. | − | 280051.i | −0.668062 | − | 0.385706i | ||||
\(222\) | 207611. | − | 837894.i | 0.282728 | − | 1.14106i | ||||
\(223\) | 785917. | − | 453749.i | 1.05831 | − | 0.611018i | 0.133349 | − | 0.991069i | \(-0.457427\pi\) |
0.924965 | + | 0.380051i | \(0.124094\pi\) | |||||||
\(224\) | −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 | \(-0.247841\pi\) |
−0.964148 | + | 0.265364i | \(0.914508\pi\) | |||||||
\(228\) | 458193. | − | 289855.i | 0.583729 | − | 0.369270i | ||||
\(229\) | −240738. | + | 416970.i | −0.303358 | + | 0.525432i | −0.976894 | − | 0.213722i | \(-0.931441\pi\) |
0.673536 | + | 0.739154i | \(0.264775\pi\) | |||||||
\(230\) | 82378.6 | − | 336247.i | 0.102682 | − | 0.419121i | ||||
\(231\) | 24778.0 | + | 65.0221i | 0.0305517 | + | 8.01736e-5i | ||||
\(232\) | −55613.5 | − | 11110.6i | −0.0678361 | − | 0.0135525i | ||||
\(233\) | 506837.i | 0.611615i | 0.952093 | + | 0.305808i | \(0.0989265\pi\) | ||||
−0.952093 | + | 0.305808i | \(0.901074\pi\) | |||||||
\(234\) | 1.37161e6 | + | 343677.i | 1.63753 | + | 0.410308i | ||||
\(235\) | 708122.i | 0.836447i | ||||||||
\(236\) | 1.09399e6 | + | 570271.i | 1.27860 | + | 0.666502i | ||||
\(237\) | −587566. | + | 1.01156e6i | −0.679495 | + | 1.16982i | ||||
\(238\) | −9732.81 | − | 2384.48i | −0.0111377 | − | 0.00272867i | ||||
\(239\) | −150130. | + | 260032.i | −0.170009 | + | 0.294464i | −0.938423 | − | 0.345489i | \(-0.887713\pi\) |
0.768414 | + | 0.639953i | \(0.221046\pi\) | |||||||
\(240\) | −501882. | + | 42018.2i | −0.562436 | + | 0.0470879i | ||||
\(241\) | −266947. | − | 462366.i | −0.296062 | − | 0.512795i | 0.679169 | − | 0.733982i | \(-0.262340\pi\) |
−0.975231 | + | 0.221187i | \(0.929007\pi\) | |||||||
\(242\) | −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 | ||||
\(246\) | 621699. | − | 645672.i | 0.655002 | − | 0.680259i | ||||
\(247\) | −968256. | − | 559023.i | −1.00983 | − | 0.583025i | ||||
\(248\) | −334453. | − | 987983.i | −0.345308 | − | 1.02005i | ||||
\(249\) | 689597. | + | 400555.i | 0.704850 | + | 0.409416i | ||||
\(250\) | −677273. | − | 648710.i | −0.685352 | − | 0.656448i | ||||
\(251\) | −1.40288e6 | −1.40551 | −0.702757 | − | 0.711430i | \(-0.748048\pi\) | ||||
−0.702757 | + | 0.711430i | \(0.748048\pi\) | |||||||
\(252\) | 25279.6 | − | 956.708i | 0.0250766 | − | 0.000949025i | ||||
\(253\) | 947688. | 0.930816 | ||||||||
\(254\) | 271207. | + | 259769.i | 0.263765 | + | 0.252641i | ||||
\(255\) | 702.761 | − | 267801.i | 0.000676795 | − | 0.257906i | ||||
\(256\) | 1.03305e6 | − | 179778.i | 0.985193 | − | 0.171450i | ||||
\(257\) | −837694. | − | 483643.i | −0.791139 | − | 0.456764i | 0.0492245 | − | 0.998788i | \(-0.484325\pi\) |
−0.840363 | + | 0.542024i | \(0.817658\pi\) | |||||||
\(258\) | −465622. | − | 1.61491e6i | −0.435496 | − | 1.51043i | ||||
\(259\) | −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 | \(-0.0308387\pi\) |
−0.581427 | + | 0.813599i | \(0.697505\pi\) | |||||||
\(264\) | −438645. | − | 1.30705e6i | −0.387350 | − | 1.15420i | ||||
\(265\) | −184440. | + | 319460.i | −0.161340 | + | 0.279448i | ||||
\(266\) | −19428.1 | − | 4759.78i | −0.0168355 | − | 0.00412461i | ||||
\(267\) | 983240. | + | 1.71339e6i | 0.844076 | + | 1.47088i | ||||
\(268\) | 75677.2 | − | 145177.i | 0.0643618 | − | 0.123470i | ||||
\(269\) | 1.21595e6i | 1.02455i | 0.858820 | + | 0.512277i | \(0.171198\pi\) | ||||
−0.858820 | + | 0.512277i | \(0.828802\pi\) | |||||||
\(270\) | 183890. | + | 650593.i | 0.153514 | + | 0.543125i | ||||
\(271\) | − | 2.02493e6i | − | 1.67489i | −0.546520 | − | 0.837446i | \(-0.684048\pi\) | ||
0.546520 | − | 0.837446i | \(-0.315952\pi\) | |||||||
\(272\) | 47975.2 | + | 555498.i | 0.0393183 | + | 0.455260i | ||||
\(273\) | −25965.1 | − | 45246.6i | −0.0210854 | − | 0.0367434i | ||||
\(274\) | 567306. | − | 2.31559e6i | 0.456500 | − | 1.86331i | ||||
\(275\) | 520226. | − | 901058.i | 0.414821 | − | 0.718490i | ||||
\(276\) | 966771. | − | 39128.3i | 0.763926 | − | 0.0309185i | ||||
\(277\) | 192874. | + | 334068.i | 0.151034 | + | 0.261599i | 0.931608 | − | 0.363465i | \(-0.118406\pi\) |
−0.780574 | + | 0.625064i | \(0.785073\pi\) | |||||||
\(278\) | 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 | −0.552913 | − | 0.833239i | \(-0.686484\pi\) |
0.445150 | + | 0.895456i | \(0.353150\pi\) | |||||||
\(282\) | −1.90165e6 | + | 548296.i | −1.42399 | + | 0.410575i | ||||
\(283\) | 441868. | + | 255113.i | 0.327964 | + | 0.189350i | 0.654937 | − | 0.755684i | \(-0.272695\pi\) |
−0.326973 | + | 0.945034i | \(0.606029\pi\) | |||||||
\(284\) | 89695.1 | + | 2.08100e6i | 0.0659892 | + | 1.53100i | ||||
\(285\) | 1402.81 | − | 534571.i | 0.00102303 | − | 0.389846i | ||||
\(286\) | −1.96658e6 | + | 2.05317e6i | −1.42166 | + | 1.48426i | ||||
\(287\) | −33068.4 | −0.0236978 | ||||||||
\(288\) | −501444. | − | 1.31526e6i | −0.356239 | − | 0.934395i | ||||
\(289\) | 1.12338e6 | 0.791192 | ||||||||
\(290\) | −38678.6 | + | 40381.7i | −0.0270070 | + | 0.0281961i | ||||
\(291\) | 834646. | + | 484808.i | 0.577790 | + | 0.335612i | ||||
\(292\) | −16751.6 | − | 388650.i | −0.0114974 | − | 0.266749i | ||||
\(293\) | 1.02752e6 | + | 593241.i | 0.699234 | + | 0.403703i | 0.807062 | − | 0.590467i | \(-0.201056\pi\) |
−0.107828 | + | 0.994170i | \(0.534390\pi\) | |||||||
\(294\) | 1.06694e6 | + | 1.02733e6i | 0.719900 | + | 0.693170i | ||||
\(295\) | 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 | ||||
\(300\) | 493499. | − | 940681.i | 0.316580 | − | 0.603447i | ||||
\(301\) | −31003.2 | + | 53699.2i | −0.0197238 | + | 0.0341626i | ||||
\(302\) | 585466. | − | 2.38971e6i | 0.369389 | − | 1.50775i | ||||
\(303\) | −684762. | + | 1.17889e6i | −0.428483 | + | 0.737676i | ||||
\(304\) | 95765.6 | + | 1.10885e6i | 0.0594327 | + | 0.688162i | ||||
\(305\) | − | 240502.i | − | 0.148036i | ||||||
\(306\) | 719720. | − | 205470.i | 0.439400 | − | 0.125443i | ||||
\(307\) | − | 1.41312e6i | − | 0.855724i | −0.903844 | − | 0.427862i | \(-0.859267\pi\) | ||
0.903844 | − | 0.427862i | \(-0.140733\pi\) | |||||||
\(308\) | −23511.8 | + | 45104.2i | −0.0141224 | + | 0.0270920i | ||||
\(309\) | −1.66270e6 | − | 4363.24i | −0.990645 | − | 0.00259964i | ||||
\(310\) | −998887. | − | 244721.i | −0.590353 | − | 0.144633i | ||||
\(311\) | −315266. | + | 546057.i | −0.184832 | + | 0.320138i | −0.943520 | − | 0.331316i | \(-0.892507\pi\) |
0.758688 | + | 0.651454i | \(0.225841\pi\) | |||||||
\(312\) | −1.92141e6 | + | 2.17571e6i | −1.11747 | + | 1.26536i | ||||
\(313\) | 197240. | + | 341630.i | 0.113798 | + | 0.197104i | 0.917299 | − | 0.398200i | \(-0.130365\pi\) |
−0.803501 | + | 0.595304i | \(0.797032\pi\) | |||||||
\(314\) | −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 | −0.459916 | − | 0.887963i | \(-0.652120\pi\) |
0.539040 | + | 0.842280i | \(0.318787\pi\) | |||||||
\(318\) | −1.00072e6 | − | 247955.i | −0.554936 | − | 0.137501i | ||||
\(319\) | −132564. | − | 76535.6i | −0.0729369 | − | 0.0421101i | ||||
\(320\) | 397242. | − | 954506.i | 0.216861 | − | 0.521079i | ||||
\(321\) | −364329. | + | 209073.i | −0.197347 | + | 0.113249i | ||||
\(322\) | −25779.0 | − | 24691.8i | −0.0138556 | − | 0.0132713i | ||||
\(323\) | −591813. | −0.315630 | ||||||||
\(324\) | −1.60477e6 | + | 997585.i | −0.849279 | + | 0.527944i | ||||
\(325\) | −2.19055e6 | −1.15039 | ||||||||
\(326\) | −1.93379e6 | − | 1.85224e6i | −1.00778 | − | 0.965279i | ||||
\(327\) | −964044. | + | 553223.i | −0.498572 | + | 0.286109i | ||||
\(328\) | 589984. | + | 1.74283e6i | 0.302800 | + | 0.894479i | ||||
\(329\) | 63233.7 | + | 36508.0i | 0.0322077 | + | 0.0185951i | ||||
\(330\) | −1.31945e6 | − | 326931.i | −0.666975 | − | 0.165261i | ||||
\(331\) | −696109. | + | 401899.i | −0.349227 | + | 0.201626i | −0.664345 | − | 0.747426i | \(-0.731289\pi\) |
0.315118 | + | 0.949053i | \(0.397956\pi\) | |||||||
\(332\) | −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 | ||||
\(336\) | −22122.9 | + | 46983.2i | −0.0106904 | + | 0.0227036i | ||||
\(337\) | 763890. | − | 1.32310e6i | 0.366400 | − | 0.634624i | −0.622599 | − | 0.782541i | \(-0.713923\pi\) |
0.989000 | + | 0.147917i | \(0.0472567\pi\) | |||||||
\(338\) | 3.77378e6 | + | 924553.i | 1.79674 | + | 0.440190i | ||||
\(339\) | −590413. | − | 1549.36i | −0.279034 | − | 0.000732238i | ||||
\(340\) | 487488. | + | 254116.i | 0.228700 | + | 0.119216i | ||||
\(341\) | − | 2.81529e6i | − | 1.31110i | ||||||
\(342\) | 1.43667e6 | − | 410148.i | 0.664188 | − | 0.189616i | ||||
\(343\) | − | 109322.i | − | 0.0501734i | ||||||
\(344\) | 3.38328e6 | + | 675921.i | 1.54150 | + | 0.307964i | ||||
\(345\) | 479162. | − | 824926.i | 0.216738 | − | 0.373136i | ||||
\(346\) | −228778. | + | 933810.i | −0.102736 | + | 0.419342i | ||||
\(347\) | −423222. | + | 733041.i | −0.188688 | + | 0.326817i | −0.944813 | − | 0.327610i | \(-0.893757\pi\) |
0.756125 | + | 0.654427i | \(0.227090\pi\) | |||||||
\(348\) | −138393. | − | 72603.5i | −0.0612584 | − | 0.0321373i | ||||
\(349\) | 194050. | + | 336105.i | 0.0852807 | + | 0.147711i | 0.905511 | − | 0.424323i | \(-0.139488\pi\) |
−0.820230 | + | 0.572034i | \(0.806155\pi\) | |||||||
\(350\) | −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 | −0.184894 | − | 0.982758i | \(-0.559194\pi\) |
0.758647 | + | 0.651502i | \(0.225861\pi\) | |||||||
\(354\) | 2.44898e6 | + | 2.35805e6i | 1.03867 | + | 1.00010i | ||||
\(355\) | 1.77857e6 | + | 1.02686e6i | 0.749031 | + | 0.432453i | ||||
\(356\) | −4.05148e6 | + | 174627.i | −1.69429 | + | 0.0730274i | ||||
\(357\) | −23877.8 | − | 13869.5i | −0.00991572 | − | 0.00575959i | ||||
\(358\) | −359305. | + | 375125.i | −0.148168 | + | 0.154692i | ||||
\(359\) | 3.63496e6 | 1.48855 | 0.744275 | − | 0.667873i | \(-0.232795\pi\) | ||||
0.744275 | + | 0.667873i | \(0.232795\pi\) | |||||||
\(360\) | −1.35952e6 | − | 279037.i | −0.552879 | − | 0.113476i | ||||
\(361\) | 1.29475e6 | 0.522901 | ||||||||
\(362\) | −2.50726e6 | + | 2.61765e6i | −1.00561 | + | 1.04988i | ||||
\(363\) | 3176.97 | − | 1.21065e6i | 0.00126545 | − | 0.482227i | ||||
\(364\) | 106990. | − | 4611.48i | 0.0423243 | − | 0.00182426i | ||||
\(365\) | −332168. | − | 191777.i | −0.130505 | − | 0.0753469i | ||||
\(366\) | 645863. | − | 186219.i | 0.252022 | − | 0.0726645i | ||||
\(367\) | 366486. | − | 211591.i | 0.142034 | − | 0.0820033i | −0.427299 | − | 0.904110i | \(-0.640535\pi\) |
0.569333 | + | 0.822107i | \(0.307202\pi\) | |||||||
\(368\) | −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 | ||||
\(372\) | −116238. | − | 2.87198e6i | −0.0435504 | − | 1.07603i | ||||
\(373\) | 1.65892e6 | − | 2.87333e6i | 0.617380 | − | 1.06933i | −0.372582 | − | 0.927999i | \(-0.621528\pi\) |
0.989962 | − | 0.141334i | \(-0.0451391\pi\) | |||||||
\(374\) | −358103. | + | 1.46168e6i | −0.132382 | + | 0.540348i | ||||
\(375\) | −1.28630e6 | − | 2.24150e6i | −0.472350 | − | 0.823114i | ||||
\(376\) | 795934. | − | 3.98400e6i | 0.290340 | − | 1.45328i | ||||
\(377\) | 322274.i | 0.116781i | ||||||||
\(378\) | 67577.2 | + | 17121.1i | 0.0243260 | + | 0.00616312i | ||||
\(379\) | 2.75509e6i | 0.985230i | 0.870247 | + | 0.492615i | \(0.163959\pi\) | ||||
−0.870247 | + | 0.492615i | \(0.836041\pi\) | |||||||
\(380\) | 973097. | + | 507253.i | 0.345698 | + | 0.180204i | ||||
\(381\) | 515086. | + | 897586.i | 0.181789 | + | 0.316784i | ||||
\(382\) | −1.52576e6 | − | 373803.i | −0.534969 | − | 0.131064i | ||||
\(383\) | 341107. | − | 590814.i | 0.118821 | − | 0.205804i | −0.800480 | − | 0.599360i | \(-0.795422\pi\) |
0.919301 | + | 0.393556i | \(0.128755\pi\) | |||||||
\(384\) | 2.87089e6 | + | 327718.i | 0.993548 | + | 0.113415i | ||||
\(385\) | 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 | −0.506976 | + | 0.861960i | \(0.669237\pi\) |
−0.999967 | + | 0.00807397i | \(0.997430\pi\) | |||||||
\(390\) | 792881. | + | 2.74994e6i | 0.263965 | + | 0.915508i | ||||
\(391\) | −914645. | − | 528070.i | −0.302559 | − | 0.174683i | ||||
\(392\) | −2.87994e6 | + | 974919.i | −0.946602 | + | 0.320445i | ||||
\(393\) | −2304.47 | + | 878166.i | −0.000752645 | + | 0.286810i | ||||
\(394\) | 1.00516e6 | + | 962769.i | 0.326208 | + | 0.312451i | ||||
\(395\) | −2.36772e6 | −0.763551 | ||||||||
\(396\) | −143679. | − | 3.79651e6i | −0.0460421 | − | 1.21660i | ||||
\(397\) | −4.32179e6 | −1.37622 | −0.688109 | − | 0.725607i | \(-0.741559\pi\) | ||||
−0.688109 | + | 0.725607i | \(0.741559\pi\) | |||||||
\(398\) | −1.15744e6 | − | 1.10862e6i | −0.366261 | − | 0.350814i | ||||
\(399\) | −47663.6 | − | 27685.6i | −0.0149884 | − | 0.00870608i | ||||
\(400\) | 1.24877e6 | + | 1.78767e6i | 0.390239 | + | 0.558645i | ||||
\(401\) | 2.13586e6 | + | 1.23314e6i | 0.663302 | + | 0.382958i | 0.793534 | − | 0.608526i | \(-0.208239\pi\) |
−0.130232 | + | 0.991484i | \(0.541572\pi\) | |||||||
\(402\) | 312922. | − | 324989.i | 0.0965764 | − | 0.100300i | ||||
\(403\) | −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 | ||||
\(408\) | −304964. | + | 1.50590e6i | −0.0906981 | + | 0.447864i | ||||
\(409\) | −1.88785e6 | + | 3.26985e6i | −0.558031 | + | 0.966538i | 0.439630 | + | 0.898179i | \(0.355110\pi\) |
−0.997661 | + | 0.0683591i | \(0.978224\pi\) | |||||||
\(410\) | 1.76206e6 | + | 431695.i | 0.517680 | + | 0.126829i | ||||
\(411\) | 3.29978e6 | − | 5.68091e6i | 0.963564 | − | 1.65887i | ||||
\(412\) | 1.57773e6 | − | 3.02667e6i | 0.457920 | − | 0.878460i | ||||
\(413\) | − | 125425.i | − | 0.0361835i | ||||||
\(414\) | 2.58634e6 | + | 648045.i | 0.741625 | + | 0.185825i | ||||
\(415\) | 1.61412e6i | 0.460062i | ||||||||
\(416\) | −2.15188e6 | − | 5.55649e6i | −0.609657 | − | 1.57423i | ||||
\(417\) | 5.98514e6 | + | 15706.1i | 1.68552 | + | 0.00442313i | ||||
\(418\) | −714827. | + | 2.91773e6i | −0.200106 | + | 0.816779i | ||||
\(419\) | −984571. | + | 1.70533e6i | −0.273976 | + | 0.474540i | −0.969876 | − | 0.243598i | \(-0.921672\pi\) |
0.695901 | + | 0.718138i | \(0.255005\pi\) | |||||||
\(420\) | 27373.7 | + | 43271.3i | 0.00757199 | + | 0.0119695i | ||||
\(421\) | 437124. | + | 757121.i | 0.120199 | + | 0.208190i | 0.919846 | − | 0.392280i | \(-0.128314\pi\) |
−0.799647 | + | 0.600470i | \(0.794980\pi\) | |||||||
\(422\) | −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 | ||||
\(426\) | −1.38047e6 | + | 5.57140e6i | −0.368555 | + | 1.48744i | ||||
\(427\) | −21476.3 | − | 12399.3i | −0.00570019 | − | 0.00329100i | ||||
\(428\) | −37132.0 | − | 861492.i | −0.00979803 | − | 0.227322i | ||||
\(429\) | −6.79517e6 | + | 3.89945e6i | −1.78261 | + | 1.02296i | ||||
\(430\) | 2.35304e6 | − | 2.45664e6i | 0.613702 | − | 0.640724i | ||||
\(431\) | 1.70261e6 | 0.441492 | 0.220746 | − | 0.975331i | \(-0.429151\pi\) | ||||
0.220746 | + | 0.975331i | \(0.429151\pi\) | |||||||
\(432\) | −303324. | − | 3.86703e6i | −0.0781982 | − | 0.996938i | ||||
\(433\) | −1.19651e6 | −0.306688 | −0.153344 | − | 0.988173i | \(-0.549004\pi\) | ||||
−0.153344 | + | 0.988173i | \(0.549004\pi\) | |||||||
\(434\) | −73351.8 | + | 76581.5i | −0.0186933 | + | 0.0195164i | ||||
\(435\) | −133647. | + | 76694.2i | −0.0338638 | + | 0.0194330i | ||||
\(436\) | −98254.3 | − | 2.27958e6i | −0.0247534 | − | 0.574299i | ||||
\(437\) | −1.82577e6 | − | 1.05411e6i | −0.457342 | − | 0.264047i | ||||
\(438\) | 257819. | − | 1.04052e6i | 0.0642139 | − | 0.259159i | ||||
\(439\) | 2.13579e6 | − | 1.23310e6i | 0.528929 | − | 0.305377i | −0.211651 | − | 0.977345i | \(-0.567884\pi\) |
0.740580 | + | 0.671968i | \(0.234551\pi\) | |||||||
\(440\) | 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 | −0.993550 | − | 0.113397i | \(-0.963827\pi\) |
0.398570 | − | 0.917138i | \(-0.369507\pi\) | |||||||
\(444\) | 2.61061e6 | + | 4.12676e6i | 0.628470 | + | 0.993462i | ||||
\(445\) | −1.99918e6 | + | 3.46268e6i | −0.478577 | + | 0.828919i | ||||
\(446\) | −1.22157e6 | + | 4.98613e6i | −0.290792 | + | 1.18693i | ||||
\(447\) | −5.09887e6 | − | 13380.4i | −1.20699 | − | 0.00316738i | ||||
\(448\) | −64755.0 | − | 84683.4i | −0.0152433 | − | 0.0199344i | ||||
\(449\) | 95563.2i | 0.0223705i | 0.999937 | + | 0.0111852i | \(0.00356044\pi\) | ||||
−0.999937 | + | 0.0111852i | \(0.996440\pi\) | |||||||
\(450\) | 2.03591e6 | − | 2.10334e6i | 0.473944 | − | 0.489641i | ||||
\(451\) | 4.96624e6i | 1.14971i | ||||||||
\(452\) | 560241. | − | 1.07475e6i | 0.128982 | − | 0.247435i | ||||
\(453\) | 3.40541e6 | − | 5.86276e6i | 0.779694 | − | 1.34232i | ||||
\(454\) | 2.15211e6 | + | 527254.i | 0.490032 | + | 0.120055i | ||||
\(455\) | 52793.6 | − | 91441.2i | 0.0119551 | − | 0.0207068i | ||||
\(456\) | −608753. | + | 3.00600e6i | −0.137097 | + | 0.676981i | ||||
\(457\) | 1.65475e6 | + | 2.86612e6i | 0.370632 | + | 0.641953i | 0.989663 | − | 0.143414i | \(-0.0458079\pi\) |
−0.619031 | + | 0.785366i | \(0.712475\pi\) | |||||||
\(458\) | −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 | −0.556306 | − | 0.830978i | \(-0.687782\pi\) |
0.441495 | + | 0.897264i | \(0.354448\pi\) | |||||||
\(462\) | −97220.1 | + | 100969.i | −0.0211910 | + | 0.0220081i | ||||
\(463\) | 813063. | + | 469422.i | 0.176267 | + | 0.101768i | 0.585538 | − | 0.810645i | \(-0.300883\pi\) |
−0.409270 | + | 0.912413i | \(0.634217\pi\) | |||||||
\(464\) | 263001. | − | 183718.i | 0.0567104 | − | 0.0396148i | ||||
\(465\) | −2.45060e6 | − | 1.42344e6i | −0.525582 | − | 0.305286i | ||||
\(466\) | −2.07054e6 | − | 1.98322e6i | −0.441691 | − | 0.423063i | ||||
\(467\) | 6.03297e6 | 1.28009 | 0.640043 | − | 0.768339i | \(-0.278917\pi\) | ||||
0.640043 | + | 0.768339i | \(0.278917\pi\) | |||||||
\(468\) | −6.77100e6 | + | 4.25853e6i | −1.42902 | + | 0.898764i | ||||
\(469\) | −16644.4 | −0.00349412 | ||||||||
\(470\) | −2.89283e6 | − | 2.77083e6i | −0.604058 | − | 0.578583i | ||||
\(471\) | 556.257 | − | 211973.i | 0.000115538 | − | 0.0440279i | ||||
\(472\) | −6.61038e6 | + | 2.23776e6i | −1.36575 | + | 0.462336i | ||||
\(473\) | 8.06458e6 | + | 4.65609e6i | 1.65741 | + | 0.956904i | ||||
\(474\) | −1.83332e6 | − | 6.35848e6i | −0.374793 | − | 1.29989i | ||||
\(475\) | −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 | \(-0.0712226\pi\) |
−0.679698 | + | 0.733492i | \(0.737889\pi\) | |||||||
\(480\) | 1.79217e6 | − | 2.21471e6i | 0.355040 | − | 0.438747i | ||||
\(481\) | 5.03489e6 | − | 8.72069e6i | 0.992265 | − | 1.71865i | ||||
\(482\) | 2.93341e6 | + | 718669.i | 0.575116 | + | 0.140900i | ||||
\(483\) | −48960.3 | − | 85318.0i | −0.00954941 | − | 0.0166408i | ||||
\(484\) | 2.20378e6 | + | 1.14878e6i | 0.427618 | + | 0.222907i | ||||
\(485\) | 1.95364e6i | 0.377128i | ||||||||
\(486\) | −5.01809e6 | + | 1.38997e6i | −0.963713 | + | 0.266940i | ||||
\(487\) | − | 7.19915e6i | − | 1.37549i | −0.725950 | − | 0.687747i | \(-0.758600\pi\) | ||
0.725950 | − | 0.687747i | \(-0.241400\pi\) | |||||||
\(488\) | −270325. | + | 1.35310e6i | −0.0513851 | + | 0.257205i | ||||
\(489\) | −3.67272e6 | − | 6.40007e6i | −0.694570 | − | 1.21035i | ||||
\(490\) | −713354. | + | 2.91172e6i | −0.134219 | + | 0.547847i | ||||
\(491\) | 1.94528e6 | − | 3.36932e6i | 0.364148 | − | 0.630723i | −0.624491 | − | 0.781032i | \(-0.714694\pi\) |
0.988639 | + | 0.150309i | \(0.0480269\pi\) | |||||||
\(492\) | 205047. | + | 5.06625e6i | 0.0381893 | + | 0.943569i | ||||
\(493\) | 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 | ||||
\(498\) | −4.33470e6 | + | 1.24981e6i | −0.783223 | + | 0.225824i | ||||
\(499\) | −3.16514e6 | − | 1.82739e6i | −0.569038 | − | 0.328534i | 0.187727 | − | 0.982221i | \(-0.439888\pi\) |
−0.756765 | + | 0.653687i | \(0.773221\pi\) | |||||||
\(500\) | 5.30024e6 | − | 228451.i | 0.948136 | − | 0.0408665i | ||||
\(501\) | −6125.24 | + | 2.33415e6i | −0.00109026 | + | 0.415464i | ||||
\(502\) | 5.48935e6 | − | 5.73105e6i | 0.972214 | − | 1.01502i | ||||
\(503\) | 6.99423e6 | 1.23259 | 0.616297 | − | 0.787514i | \(-0.288632\pi\) | ||||
0.616297 | + | 0.787514i | \(0.288632\pi\) | |||||||
\(504\) | −95009.0 | + | 107016.i | −0.0166605 | + | 0.0187661i | ||||
\(505\) | −2.75939e6 | −0.481488 | ||||||||
\(506\) | −3.70823e6 | + | 3.87151e6i | −0.643859 | + | 0.672209i | ||||
\(507\) | 9.25832e6 | + | 5.37774e6i | 1.59960 | + | 0.929137i | ||||
\(508\) | −2.12243e6 | + | 91480.9i | −0.364900 | + | 0.0157279i | ||||
\(509\) | −6.20968e6 | − | 3.58516e6i | −1.06237 | − | 0.613358i | −0.136281 | − | 0.990670i | \(-0.543515\pi\) |
−0.926086 | + | 0.377312i | \(0.876848\pi\) | |||||||
\(510\) | 1.09128e6 | + | 1.05076e6i | 0.185784 | + | 0.178886i | ||||
\(511\) | −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 | ||||
\(516\) | 8.41922e6 | + | 4.41687e6i | 1.39203 | + | 0.730282i | ||||
\(517\) | 5.48280e6 | − | 9.49649e6i | 0.902144 | − | 1.56256i | ||||
\(518\) | 42869.4 | − | 174981.i | 0.00701977 | − | 0.0286528i | ||||
\(519\) | −1.33071e6 | + | 2.29095e6i | −0.216852 | + | 0.373333i | ||||
\(520\) | −5.76120e6 | − | 1.15099e6i | −0.934339 | − | 0.186665i | ||||
\(521\) | − | 6.81856e6i | − | 1.10052i | −0.834993 | − | 0.550261i | \(-0.814528\pi\) | ||
0.834993 | − | 0.550261i | \(-0.185472\pi\) | |||||||
\(522\) | −309443. | − | 299523.i | −0.0497055 | − | 0.0481120i | ||||
\(523\) | 5.81403e6i | 0.929444i | 0.885457 | + | 0.464722i | \(0.153846\pi\) | ||||
−0.885457 | + | 0.464722i | \(0.846154\pi\) | |||||||
\(524\) | −1.59855e6 | − | 833289.i | −0.254331 | − | 0.132577i | ||||
\(525\) | −107996. | − | 283.403i | −0.0171006 | − | 4.48752e-5i | ||||
\(526\) | −5.10170e6 | − | 1.24989e6i | −0.803991 | − | 0.196973i | ||||
\(527\) | −1.56873e6 | + | 2.71713e6i | −0.246050 | + | 0.426171i | ||||
\(528\) | 7.05597e6 | + | 3.32244e6i | 1.10147 | + | 0.518647i | ||||
\(529\) | 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 | ||||
\(534\) | −1.08469e7 | − | 2.68762e6i | −1.64609 | − | 0.407864i | ||||
\(535\) | −736292. | − | 425098.i | −0.111216 | − | 0.0642103i | ||||
\(536\) | 296959. | + | 877224.i | 0.0446462 | + | 0.131886i | ||||
\(537\) | −1.24151e6 | + | 712450.i | −0.185787 | + | 0.106615i | ||||
\(538\) | −4.96742e6 | − | 4.75793e6i | −0.739904 | − | 0.708699i | ||||
\(539\) | −8.20646e6 | −1.21670 | ||||||||
\(540\) | −3.37736e6 | − | 1.79449e6i | −0.498418 | − | 0.264824i | ||||
\(541\) | −6.49473e6 | −0.954043 | −0.477021 | − | 0.878892i | \(-0.658284\pi\) | ||||
−0.477021 | + | 0.878892i | \(0.658284\pi\) | |||||||
\(542\) | 8.27228e6 | + | 7.92341e6i | 1.20956 | + | 1.15855i | ||||
\(543\) | −8.66337e6 | + | 4.97153e6i | −1.26092 | + | 0.723587i | ||||
\(544\) | −2.45705e6 | − | 1.97763e6i | −0.355973 | − | 0.286516i | ||||
\(545\) | −1.94829e6 | − | 1.12484e6i | −0.280971 | − | 0.162219i | ||||
\(546\) | 286442. | + | 70973.8i | 0.0411201 | + | 0.0101886i | ||||
\(547\) | −3.41406e6 | + | 1.97111e6i | −0.487868 | + | 0.281671i | −0.723690 | − | 0.690126i | \(-0.757555\pi\) |
0.235822 | + | 0.971796i | \(0.424222\pi\) | |||||||
\(548\) | 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 | ||||
\(552\) | −3.62306e6 | + | 4.10258e6i | −0.506090 | + | 0.573072i | ||||
\(553\) | −122071. | + | 211432.i | −0.0169745 | + | 0.0294008i | ||||
\(554\) | −2.11945e6 | − | 519252.i | −0.293392 | − | 0.0718792i | ||||
\(555\) | 4.81466e6 | + | 12634.6i | 0.663489 | + | 0.00174112i | ||||
\(556\) | −5.67928e6 | + | 1.08950e7i | −0.779124 | + | 1.49465i | ||||
\(557\) | 9.50351e6i | 1.29791i | 0.760825 | + | 0.648957i | \(0.224795\pi\) | ||||
−0.760825 | + | 0.648957i | \(0.775205\pi\) | |||||||
\(558\) | 1.92514e6 | − | 7.68321e6i | 0.261744 | − | 1.04462i | ||||
\(559\) | − | 1.96057e7i | − | 2.65371i | ||||||
\(560\) | −104719. | + | 9044.02i | −0.0141110 | + | 0.00121868i | ||||
\(561\) | −2.08294e6 | + | 3.58599e6i | −0.279428 | + | 0.481063i | ||||
\(562\) | 221706. | − | 904943.i | 0.0296098 | − | 0.120859i | ||||
\(563\) | 1.12664e6 | − | 1.95140e6i | 0.149801 | − | 0.259463i | −0.781353 | − | 0.624089i | \(-0.785470\pi\) |
0.931154 | + | 0.364627i | \(0.118803\pi\) | |||||||
\(564\) | 5.20111e6 | − | 9.91409e6i | 0.688491 | − | 1.31237i | ||||
\(565\) | −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 | −0.985447 | − | 0.169984i | \(-0.945628\pi\) |
−0.345513 | + | 0.938414i | \(0.612295\pi\) | |||||||
\(570\) | 2.17835e6 | + | 2.09747e6i | 0.280828 | + | 0.270401i | ||||
\(571\) | 5.96127e6 | + | 3.44174e6i | 0.765154 | + | 0.441762i | 0.831143 | − | 0.556059i | \(-0.187687\pi\) |
−0.0659893 | + | 0.997820i | \(0.521020\pi\) | |||||||
\(572\) | −692556. | − | 1.60678e7i | −0.0885043 | − | 2.05337i | ||||
\(573\) | −3.74320e6 | − | 2.17425e6i | −0.476274 | − | 0.276646i | ||||
\(574\) | 129394. | − | 135092.i | 0.0163921 | − | 0.0171139i | ||||
\(575\) | −4.13056e6 | −0.521002 | ||||||||
\(576\) | 7.33524e6 | + | 3.09801e6i | 0.921208 | + | 0.389069i | ||||
\(577\) | 7.44098e6 | 0.930444 | 0.465222 | − | 0.885194i | \(-0.345974\pi\) | ||||
0.465222 | + | 0.885194i | \(0.345974\pi\) | |||||||
\(578\) | −4.39570e6 | + | 4.58925e6i | −0.547279 | + | 0.571376i | ||||
\(579\) | 35398.9 | − | 1.34895e7i | 0.00438827 | − | 1.67224i | ||||
\(580\) | −13621.1 | − | 316021.i | −0.00168129 | − | 0.0390073i | ||||
\(581\) | 144138. | + | 83217.9i | 0.0177148 | + | 0.0102277i | ||||
\(582\) | −5.24645e6 | + | 1.51269e6i | −0.642035 | + | 0.185115i | ||||
\(583\) | 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 | \(-0.104321\pi\) |
−0.752159 | + | 0.658982i | \(0.770987\pi\) | |||||||
\(588\) | −8.37171e6 | + | 338830.i | −0.998553 | + | 0.0404146i | ||||
\(589\) | −3.13142e6 | + | 5.42379e6i | −0.371924 | + | 0.644191i | ||||
\(590\) | −1.63738e6 | + | 6.68334e6i | −0.193651 | + | 0.790430i | ||||
\(591\) | 1.90903e6 | + | 3.32667e6i | 0.224825 | + | 0.391779i | ||||
\(592\) | −9.98701e6 | + | 862522.i | −1.17120 | + | 0.101150i | ||||
\(593\) | − | 944104.i | − | 0.110251i | −0.998479 | − | 0.0551256i | \(-0.982444\pi\) | ||
0.998479 | − | 0.0551256i | \(-0.0175559\pi\) | |||||||
\(594\) | 2.57125e6 | − | 1.01488e7i | 0.299005 | − | 1.18018i | ||||
\(595\) | − | 55890.3i | − | 0.00647208i | ||||||
\(596\) | 4.83830e6 | − | 9.28165e6i | 0.557927 | − | 1.07031i | ||||
\(597\) | −2.19824e6 | − | 3.83065e6i | −0.252429 | − | 0.439882i | ||||
\(598\) | 1.09626e7 | + | 2.68578e6i | 1.25361 | + | 0.307127i | ||||
\(599\) | −97761.8 | + | 169328.i | −0.0111327 | + | 0.0192825i | −0.871538 | − | 0.490328i | \(-0.836877\pi\) |
0.860405 | + | 0.509610i | \(0.170210\pi\) | |||||||
\(600\) | 1.91186e6 | + | 5.69687e6i | 0.216810 | + | 0.646038i | ||||
\(601\) | 3.73826e6 | + | 6.47485e6i | 0.422166 | + | 0.731213i | 0.996151 | − | 0.0876529i | \(-0.0279366\pi\) |
−0.573985 | + | 0.818866i | \(0.694603\pi\) | |||||||
\(602\) | −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 | ||||
\(606\) | −2.13659e6 | − | 7.41030e6i | −0.236341 | − | 0.819699i | ||||
\(607\) | −682314. | − | 393934.i | −0.0751644 | − | 0.0433962i | 0.461947 | − | 0.886908i | \(-0.347151\pi\) |
−0.537111 | + | 0.843511i | \(0.680484\pi\) | |||||||
\(608\) | −4.90464e6 | − | 3.94765e6i | −0.538081 | − | 0.433091i | ||||
\(609\) | −41.6942 | + | 15888.4i | −4.55547e−6 | + | 0.00173595i | ||||
\(610\) | 982502. | + | 941066.i | 0.106908 | + | 0.102399i | ||||
\(611\) | −2.30868e7 | −2.50185 | ||||||||
\(612\) | −1.97682e6 | + | 3.74420e6i | −0.213348 | + | 0.404092i | ||||
\(613\) | −261841. | −0.0281441 | −0.0140720 | − | 0.999901i | \(-0.504479\pi\) | ||||
−0.0140720 | + | 0.999901i | \(0.504479\pi\) | |||||||
\(614\) | 5.77291e6 | + | 5.52944e6i | 0.617979 | + | 0.591917i | ||||
\(615\) | 4.32292e6 | + | 2.51099e6i | 0.460882 | + | 0.267705i | ||||
\(616\) | −92260.6 | − | 272540.i | −0.00979636 | − | 0.0289387i | ||||
\(617\) | −3.01771e6 | − | 1.74228e6i | −0.319128 | − | 0.184249i | 0.331876 | − | 0.943323i | \(-0.392318\pi\) |
−0.651004 | + | 0.759074i | \(0.725652\pi\) | |||||||
\(618\) | 6.52385e6 | − | 6.77542e6i | 0.687121 | − | 0.713617i | ||||
\(619\) | 1.28016e7 | − | 7.39099e6i | 1.34288 | − | 0.775311i | 0.355649 | − | 0.934620i | \(-0.384260\pi\) |
0.987229 | + | 0.159309i | \(0.0509266\pi\) | |||||||
\(620\) | 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 | ||||
\(624\) | −1.36991e6 | − | 1.63628e7i | −0.140842 | − | 1.68227i | ||||
\(625\) | −712009. | + | 1.23324e6i | −0.0729097 | + | 0.126283i | ||||
\(626\) | −2.16742e6 | − | 531005.i | −0.221058 | − | 0.0541580i | ||||
\(627\) | −4.15785e6 | + | 7.15816e6i | −0.422377 | + | 0.727165i | ||||
\(628\) | 385862. | + | 201141.i | 0.0390420 | + | 0.0203517i | ||||
\(629\) | − | 5.33022e6i | − | 0.537178i | ||||||
\(630\) | 38734.0 | + | 135677.i | 0.00388814 | + | 0.0136194i | ||||
\(631\) | 5.75639e6i | 0.575541i | 0.957699 | + | 0.287771i | \(0.0929141\pi\) | ||||
−0.957699 | + | 0.287771i | \(0.907086\pi\) | |||||||
\(632\) | 1.33212e7 | + | 2.66134e6i | 1.32663 | + | 0.265037i | ||||
\(633\) | −6.65875e6 | − | 17473.8i | −0.660516 | − | 0.00173332i | ||||
\(634\) | −220041. | + | 898149.i | −0.0217411 | + | 0.0887412i | ||||
\(635\) | −1.04730e6 | + | 1.81398e6i | −0.103071 | + | 0.178524i | ||||
\(636\) | 4.92868e6 | − | 3.11791e6i | 0.483156 | − | 0.305647i | ||||
\(637\) | 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 | 0.309674 | − | 0.950843i | \(-0.399780\pi\) |
0.978291 | + | 0.207236i | \(0.0664468\pi\) | |||||||
\(642\) | 571487. | − | 2.30645e6i | 0.0547228 | − | 0.220855i | ||||
\(643\) | 1.40298e7 | + | 8.10012e6i | 1.33821 | + | 0.772617i | 0.986542 | − | 0.163507i | \(-0.0522808\pi\) |
0.351669 | + | 0.936124i | \(0.385614\pi\) | |||||||
\(644\) | 201743. | − | 8695.52i | 0.0191683 | − | 0.000826191i | ||||
\(645\) | 8.13049e6 | − | 4.66574e6i | 0.769516 | − | 0.441592i | ||||
\(646\) | 2.31572e6 | − | 2.41768e6i | 0.218326 | − | 0.227939i | ||||
\(647\) | −5.07623e6 | −0.476739 | −0.238369 | − | 0.971175i | \(-0.576613\pi\) | ||||
−0.238369 | + | 0.971175i | \(0.576613\pi\) | |||||||
\(648\) | 2.20400e6 | − | 1.04593e7i | 0.206193 | − | 0.978511i | ||||
\(649\) | −1.88365e7 | −1.75545 | ||||||||
\(650\) | 8.57148e6 | − | 8.94888e6i | 0.795742 | − | 0.830779i | ||||
\(651\) | −253454. | + | 145446.i | −0.0234394 | + | 0.0134508i | ||||
\(652\) | 1.51336e7 | − | 652288.i | 1.39419 | − | 0.0600925i | ||||
\(653\) | 1.12780e6 | + | 651134.i | 0.103502 | + | 0.0597569i | 0.550857 | − | 0.834599i | \(-0.314301\pi\) |
−0.447356 | + | 0.894356i | \(0.647634\pi\) | |||||||
\(654\) | 1.51220e6 | − | 6.10305e6i | 0.138250 | − | 0.557960i | ||||
\(655\) | −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 | −0.932369 | − | 0.361508i | \(-0.882262\pi\) |
0.153110 | − | 0.988209i | \(-0.451071\pi\) | |||||||
\(660\) | 6.49851e6 | − | 4.11100e6i | 0.580703 | − | 0.367356i | ||||
\(661\) | −3.21752e6 | + | 5.57291e6i | −0.286430 | + | 0.496111i | −0.972955 | − | 0.230995i | \(-0.925802\pi\) |
0.686525 | + | 0.727106i | \(0.259135\pi\) | |||||||
\(662\) | 1.08198e6 | − | 4.41636e6i | 0.0959566 | − | 0.391669i | ||||
\(663\) | 8.73109e6 | + | 22912.0i | 0.771409 | + | 0.00202432i | ||||
\(664\) | 1.81428e6 | − | 9.08130e6i | 0.159693 | − | 0.799333i | ||||
\(665\) | − | 111565.i | − | 0.00978306i | ||||||
\(666\) | 3.69404e6 | + | 1.29395e7i | 0.322713 | + | 1.13040i | ||||
\(667\) | 607687.i | 0.0528890i | ||||||||
\(668\) | −4.24893e6 | − | 2.21487e6i | −0.368416 | − | 0.192046i | ||||
\(669\) | −7.10538e6 | + | 1.22326e7i | −0.613793 | + | 1.05671i | ||||
\(670\) | 886905. | + | 217286.i | 0.0763291 | + | 0.0187002i | ||||
\(671\) | −1.86214e6 | + | 3.22532e6i | −0.159664 | + | 0.276546i | ||||
\(672\) | −105371. | − | 274219.i | −0.00900116 | − | 0.0234247i | ||||
\(673\) | −3.26993e6 | − | 5.66368e6i | −0.278292 | − | 0.482016i | 0.692668 | − | 0.721256i | \(-0.256435\pi\) |
−0.970960 | + | 0.239240i | \(0.923102\pi\) | |||||||
\(674\) | 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 | −0.347716 | − | 0.937600i | \(-0.613043\pi\) |
0.638127 | + | 0.769931i | \(0.279709\pi\) | |||||||
\(678\) | 2.31657e6 | − | 2.40590e6i | 0.193541 | − | 0.201004i | ||||
\(679\) | 174455. | + | 100722.i | 0.0145214 | + | 0.00838396i | ||||
\(680\) | −2.94562e6 | + | 997156.i | −0.244290 | + | 0.0826972i | ||||
\(681\) | 5.27984e6 | + | 3.06682e6i | 0.436268 | + | 0.253408i | ||||
\(682\) | 1.15011e7 | + | 1.10160e7i | 0.946841 | + | 0.906909i | ||||
\(683\) | 189908. | 0.0155773 | 0.00778864 | − | 0.999970i | \(-0.497521\pi\) | ||||
0.00778864 | + | 0.999970i | \(0.497521\pi\) | |||||||
\(684\) | −3.94603e6 | + | 7.47397e6i | −0.322493 | + | 0.610817i | ||||
\(685\) | 1.32972e7 | 1.08276 | ||||||||
\(686\) | 446605. | + | 427770.i | 0.0362337 | + | 0.0347056i | ||||
\(687\) | 19695.7 | − | 7.50544e6i | 0.00159213 | − | 0.606715i | ||||
\(688\) | −1.59998e7 | + | 1.11766e7i | −1.28868 | + | 0.900200i | ||||
\(689\) | −1.04153e7 | − | 6.01328e6i | −0.835842 | − | 0.482574i | ||||
\(690\) | 1.49507e6 | + | 5.18536e6i | 0.119547 | + | 0.414625i | ||||
\(691\) | −1.27744e7 | + | 7.37528e6i | −1.01776 | + | 0.587602i | −0.913454 | − | 0.406943i | \(-0.866595\pi\) |
−0.104304 | + | 0.994545i | \(0.533261\pi\) | |||||||
\(692\) | −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 | ||||
\(696\) | 838123. | − | 281273.i | 0.0655820 | − | 0.0220092i | ||||
\(697\) | 2.76729e6 | − | 4.79308e6i | 0.215761 | − | 0.373709i | ||||
\(698\) | −2.13237e6 | − | 522418.i | −0.165662 | − | 0.0405863i | ||||
\(699\) | −3.93243e6 | − | 6.85264e6i | −0.304417 | − | 0.530475i | ||||
\(700\) | 102478. | − | 196590.i | 0.00790466 | − | 0.0151641i | ||||
\(701\) | 1.07971e7i | 0.829870i | 0.909851 | + | 0.414935i | \(0.136196\pi\) | ||||
−0.909851 | + | 0.414935i | \(0.863804\pi\) | |||||||
\(702\) | −2.12112e7 | + | 5.99535e6i | −1.62451 | + | 0.459168i | ||||
\(703\) | − | 1.06399e7i | − | 0.811988i | ||||||
\(704\) | −1.27178e7 | + | 9.72495e6i | −0.967122 | + | 0.739530i | ||||
\(705\) | −5.49416e6 | − | 9.57410e6i | −0.416321 | − | 0.725480i | ||||
\(706\) | −2.08787e6 | + | 8.52214e6i | −0.157649 | + | 0.643483i | ||||
\(707\) | −142264. | + | 246408.i | −0.0107040 | + | 0.0185398i | ||||
\(708\) | −1.92158e7 | + | 777725.i | −1.44071 | + | 0.0583100i | ||||
\(709\) | −8.22095e6 | − | 1.42391e7i | −0.614195 | − | 1.06382i | −0.990525 | − | 0.137332i | \(-0.956147\pi\) |
0.376330 | − | 0.926486i | \(-0.377186\pi\) | |||||||
\(710\) | −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 | ||||
\(714\) | 150092. | − | 43275.5i | 0.0110183 | − | 0.00317685i | ||||
\(715\) | −1.37327e7 | − | 7.92858e6i | −1.00460 | − | 0.580003i | ||||
\(716\) | −126533. | − | 2.93568e6i | −0.00922408 | − | 0.214006i | ||||
\(717\) | 12282.7 | − | 4.68057e6i | 0.000892269 | − | 0.340017i | ||||
\(718\) | −1.42233e7 | + | 1.48496e7i | −1.02965 | + | 1.07499i | ||||
\(719\) | 2.43648e7 | 1.75769 | 0.878843 | − | 0.477111i | \(-0.158316\pi\) | ||||
0.878843 | + | 0.477111i | \(0.158316\pi\) | |||||||
\(720\) | 6.45964e6 | − | 4.46209e6i | 0.464384 | − | 0.320780i | ||||
\(721\) | −347006. | −0.0248599 | ||||||||
\(722\) | −5.06628e6 | + | 5.28935e6i | −0.361698 | + | 0.377624i | ||||
\(723\) | 7.19663e6 | + | 4.18020e6i | 0.512016 | + | 0.297407i | ||||
\(724\) | −882961. | − | 2.04854e7i | −0.0626030 | − | 1.45244i | ||||
\(725\) | 577787. | + | 333585.i | 0.0408247 | + | 0.0235701i | ||||
\(726\) | 4.93333e6 | + | 4.75016e6i | 0.347375 | + | 0.334477i | ||||
\(727\) | 8.20393e6 | − | 4.73654e6i | 0.575686 | − | 0.332372i | −0.183731 | − | 0.982977i | \(-0.558818\pi\) |
0.759417 | + | 0.650604i | \(0.225484\pi\) | |||||||
\(728\) | −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 | ||||
\(732\) | −1.76647e6 | + | 3.36715e6i | −0.121851 | + | 0.232266i | ||||
\(733\) | 2.49849e6 | − | 4.32752e6i | 0.171758 | − | 0.297494i | −0.767276 | − | 0.641317i | \(-0.778388\pi\) |
0.939035 | + | 0.343822i | \(0.111722\pi\) | |||||||
\(734\) | −569639. | + | 2.32511e6i | −0.0390265 | + | 0.159296i | ||||
\(735\) | −4.14928e6 | + | 7.14341e6i | −0.283305 | + | 0.487739i | ||||
\(736\) | −4.05764e6 | − | 1.04775e7i | −0.276108 | − | 0.712953i | ||||
\(737\) | 2.49968e6i | 0.169518i | ||||||||
\(738\) | −3.39600e6 | + | 1.35534e7i | −0.229523 | + | 0.916024i | ||||
\(739\) | 1.74764e7i | 1.17718i | 0.808433 | + | 0.588588i | \(0.200316\pi\) | ||||
−0.808433 | + | 0.588588i | \(0.799684\pi\) | |||||||
\(740\) | −4.56862e6 | + | 8.76430e6i | −0.306694 | + | 0.588353i | ||||
\(741\) | 1.74285e7 | + | 45735.8i | 1.16605 | + | 0.00305992i | ||||
\(742\) | −208984. | − | 51199.9i | −0.0139349 | − | 0.00341397i | ||||
\(743\) | 1.71665e6 | − | 2.97332e6i | 0.114080 | − | 0.197592i | −0.803332 | − | 0.595532i | \(-0.796941\pi\) |
0.917412 | + | 0.397940i | \(0.130275\pi\) | |||||||
\(744\) | 1.21875e7 | + | 1.07630e7i | 0.807201 | + | 0.712854i | ||||
\(745\) | −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 | ||||
\(750\) | 1.41902e7 | + | 3.51601e6i | 0.921161 | + | 0.228243i | ||||
\(751\) | −4.54796e6 | − | 2.62576e6i | −0.294250 | − | 0.169885i | 0.345607 | − | 0.938379i | \(-0.387673\pi\) |
−0.639857 | + | 0.768494i | \(0.721006\pi\) | |||||||
\(752\) | 1.31611e7 | + | 1.88407e7i | 0.848686 | + | 1.21493i | ||||
\(753\) | 1.89675e7 | − | 1.08846e7i | 1.21905 | − | 0.699560i | ||||
\(754\) | −1.31656e6 | − | 1.26103e6i | −0.0843358 | − | 0.0807790i | ||||
\(755\) | 1.37228e7 | 0.876146 | ||||||||
\(756\) | −334368. | + | 209074.i | −0.0212775 | + | 0.0133044i | ||||
\(757\) | 2.98204e7 | 1.89136 | 0.945679 | − | 0.325102i | \(-0.105399\pi\) | ||||
0.945679 | + | 0.325102i | \(0.105399\pi\) | |||||||
\(758\) | −1.12551e7 | − | 1.07805e7i | −0.711505 | − | 0.681498i | ||||
\(759\) | −1.28131e7 | + | 7.35290e6i | −0.807329 | + | 0.463291i | ||||
\(760\) | −5.87990e6 | + | 1.99047e6i | −0.369263 | + | 0.125003i | ||||
\(761\) | 3.94493e6 | + | 2.27761e6i | 0.246932 | + | 0.142566i | 0.618359 | − | 0.785896i | \(-0.287798\pi\) |
−0.371427 | + | 0.928462i | \(0.621131\pi\) | |||||||
\(762\) | −5.68232e6 | − | 1.40795e6i | −0.354518 | − | 0.0878417i | ||||
\(763\) | −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 | ||||
\(768\) | −1.25724e7 | + | 1.04459e7i | −0.769157 | + | 0.639060i | ||||
\(769\) | −9.29907e6 | + | 1.61065e7i | −0.567053 | + | 0.982164i | 0.429803 | + | 0.902923i | \(0.358583\pi\) |
−0.996855 | + | 0.0792415i | \(0.974750\pi\) | |||||||
\(770\) | −275548. | − | 67507.6i | −0.0167483 | − | 0.00410323i | ||||
\(771\) | 1.50784e7 | + | 39568.7i | 0.913525 | + | 0.00239726i | ||||
\(772\) | 2.45554e7 | + | 1.28001e7i | 1.48287 | + | 0.772985i | ||||
\(773\) | − | 1.48809e7i | − | 0.895736i | −0.894100 | − | 0.447868i | \(-0.852184\pi\) | ||
0.894100 | − | 0.447868i | \(-0.147816\pi\) | |||||||
\(774\) | 1.88252e7 | + | 1.82216e7i | 1.12950 | + | 1.09329i | ||||
\(775\) | 1.22706e7i | 0.733858i | ||||||||
\(776\) | 2.19590e6 | − | 1.09914e7i | 0.130906 | − | 0.655240i | ||||
\(777\) | 249353. | − | 429287.i | 0.0148171 | − | 0.0255091i | ||||
\(778\) | 6.99058e6 | − | 2.85337e7i | 0.414061 | − | 1.69009i | ||||
\(779\) | 5.52391e6 | − | 9.56770e6i | 0.326139 | − | 0.564890i | ||||
\(780\) | −1.43366e7 | − | 7.52124e6i | −0.843742 | − | 0.442642i | ||||
\(781\) | −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 | ||||
\(786\) | −3.57848e6 | − | 3.44561e6i | −0.206606 | − | 0.198935i | ||||
\(787\) | −2.29308e7 | − | 1.32391e7i | −1.31972 | − | 0.761943i | −0.336040 | − | 0.941848i | \(-0.609088\pi\) |
−0.983684 | + | 0.179904i | \(0.942421\pi\) | |||||||
\(788\) | −7.86624e6 | + | 339051.i | −0.451286 | + | 0.0194513i | ||||
\(789\) | −1.25162e7 | − | 7.27008e6i | −0.715779 | − | 0.415764i | ||||
\(790\) | 9.26473e6 | − | 9.67266e6i | 0.528160 | − | 0.551415i | ||||
\(791\) | −123220. | −0.00700226 | ||||||||
\(792\) | 1.60718e7 | + | 1.42685e7i | 0.910439 | + | 0.808288i | ||||
\(793\) | 7.84105e6 | 0.442783 | ||||||||
\(794\) | 1.69108e7 | − | 1.76554e7i | 0.951950 | − | 0.993865i | ||||
\(795\) | 15089.8 | − | 5.75026e6i | 0.000846768 | − | 0.322678i | ||||
\(796\) | 9.05794e6 | − | 390415.i | 0.506695 | − | 0.0218396i | ||||
\(797\) | −70624.5 | − | 40775.1i | −0.00393831 | − | 0.00227378i | 0.498030 | − | 0.867160i | \(-0.334057\pi\) |
−0.501968 | + | 0.864886i | \(0.667390\pi\) | |||||||
\(798\) | 299606. | − | 86384.4i | 0.0166550 | − | 0.00480206i | ||||
\(799\) | −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 | ||||
\(804\) | 103207. | + | 2.55001e6i | 0.00563079 | + | 0.139124i | ||||
\(805\) | 99548.9 | − | 172424.i | 0.00541435 | − | 0.00937793i | ||||
\(806\) | 7.97862e6 | − | 3.25666e7i | 0.432604 | − | 1.76577i | ||||
\(807\) | −9.43429e6 | − | 1.64401e7i | −0.509947 | − | 0.888632i | ||||
\(808\) | 1.55248e7 | + | 3.10158e6i | 0.836559 | + | 0.167130i | ||||
\(809\) | 2.33658e7i | 1.25519i | 0.778540 | + | 0.627595i | \(0.215960\pi\) | ||||
−0.778540 | + | 0.627595i | \(0.784040\pi\) | |||||||
\(810\) | −7.53408e6 | − | 7.36952e6i | −0.403476 | − | 0.394663i | ||||
\(811\) | 2.11526e7i | 1.12930i | 0.825329 | + | 0.564652i | \(0.190990\pi\) | ||||
−0.825329 | + | 0.564652i | \(0.809010\pi\) | |||||||
\(812\) | −28922.2 | − | 15076.5i | −0.00153937 | − | 0.000802435i | ||||
\(813\) | 1.57110e7 | + | 2.73779e7i | 0.833637 | + | 1.45269i | ||||
\(814\) | −2.62788e7 | − | 6.43816e6i | −1.39010 | − | 0.340566i | ||||
\(815\) | 7.46759e6 | − | 1.29342e7i | 0.393810 | − | 0.682098i | ||||
\(816\) | −4.95863e6 | − | 7.13832e6i | −0.260697 | − | 0.375293i | ||||
\(817\) | −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 | −0.132731 | − | 0.991152i | \(-0.542375\pi\) |
0.791997 | + | 0.610525i | \(0.209041\pi\) | |||||||
\(822\) | 1.02959e7 | + | 3.57093e7i | 0.531479 | + | 1.84332i | ||||
\(823\) | −7.60185e6 | − | 4.38893e6i | −0.391219 | − | 0.225870i | 0.291469 | − | 0.956580i | \(-0.405856\pi\) |
−0.682688 | + | 0.730710i | \(0.739189\pi\) | |||||||
\(824\) | 6.19105e6 | + | 1.82885e7i | 0.317648 | + | 0.938341i | ||||
\(825\) | −42561.7 | + | 1.62190e7i | −0.00217713 | + | 0.829638i | ||||
\(826\) | 512390. | + | 490781.i | 0.0261307 | + | 0.0250287i | ||||
\(827\) | 1.32716e7 | 0.674774 | 0.337387 | − | 0.941366i | \(-0.390457\pi\) | ||||
0.337387 | + | 0.941366i | \(0.390457\pi\) | |||||||
\(828\) | −1.27676e7 | + | 8.02999e6i | −0.647190 | + | 0.407042i | ||||
\(829\) | 2.90903e6 | 0.147015 | 0.0735075 | − | 0.997295i | \(-0.476581\pi\) | ||||
0.0735075 | + | 0.997295i | \(0.476581\pi\) | |||||||
\(830\) | −6.59404e6 | − | 6.31595e6i | −0.332244 | − | 0.318232i | ||||
\(831\) | −5.19970e6 | − | 3.02027e6i | −0.261202 | − | 0.151720i | ||||
\(832\) | 3.11196e7 | + | 1.29512e7i | 1.55857 | + | 0.648639i | ||||
\(833\) | 7.92033e6 | + | 4.57280e6i | 0.395486 | + | 0.228334i | ||||
\(834\) | −2.34836e7 | + | 2.43891e7i | −1.16909 | + | 1.21418i | ||||
\(835\) | −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 | \(-0.284415\pi\) |
−0.988214 | + | 0.153078i | \(0.951081\pi\) | |||||||
\(840\) | −283884. | − | 57490.1i | −0.0138817 | − | 0.00281122i | ||||
\(841\) | −1.02065e7 | + | 1.76782e7i | −0.497607 | + | 0.861881i | ||||
\(842\) | −4.80344e6 | − | 1.17681e6i | −0.233492 | − | 0.0572042i | ||||
\(843\) | 1.28957e6 | − | 2.22012e6i | 0.0624994 | − | 0.107599i | ||||
\(844\) | 6.31846e6 | − | 1.21211e7i | 0.305320 | − | 0.585716i | ||||
\(845\) | 2.16707e7i | 1.04408i | ||||||||
\(846\) | 2.14570e7 | − | 2.21677e7i | 1.03072 | − | 1.06486i | ||||
\(847\) | − | 252663.i | − | 0.0121013i | ||||||
\(848\) | 1.03013e6 | + | 1.19277e7i | 0.0491929 | + | 0.569596i | ||||
\(849\) | −7.95359e6 | − | 20871.7i | −0.378699 | − | 0.000993778i | ||||
\(850\) | 1.56082e6 | − | 6.37083e6i | 0.0740977 | − | 0.302447i | ||||
\(851\) | 9.49391e6 | − | 1.64439e7i | 0.449388 | − | 0.778363i | ||||
\(852\) | −1.73587e7 | − | 2.74400e7i | −0.819254 | − | 1.29505i | ||||
\(853\) | 2.06240e7 | + | 3.57217e7i | 0.970508 | + | 1.68097i | 0.694024 | + | 0.719951i | \(0.255836\pi\) |
0.276484 | + | 0.961019i | \(0.410831\pi\) | |||||||
\(854\) | 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 | −0.934156 | − | 0.356864i | \(-0.883846\pi\) |
−0.158025 | + | 0.987435i | \(0.550513\pi\) | |||||||
\(858\) | 1.06589e7 | − | 4.30180e7i | 0.494304 | − | 1.99495i | ||||
\(859\) | 2.06184e7 | + | 1.19041e7i | 0.953395 | + | 0.550443i | 0.894134 | − | 0.447800i | \(-0.147792\pi\) |
0.0592610 | + | 0.998243i | \(0.481126\pi\) | |||||||
\(860\) | 828650. | + | 1.92253e7i | 0.0382054 | + | 0.886396i | ||||
\(861\) | 447099. | − | 256571.i | 0.0205540 | − | 0.0117950i | ||||
\(862\) | −6.66220e6 | + | 6.95554e6i | −0.305386 | + | 0.318832i | ||||
\(863\) | 1.77520e6 | 0.0811371 | 0.0405685 | − | 0.999177i | \(-0.487083\pi\) | ||||
0.0405685 | + | 0.999177i | \(0.487083\pi\) | |||||||
\(864\) | 1.69845e7 | + | 1.38923e7i | 0.774050 | + | 0.633124i | ||||
\(865\) | −5.36236e6 | −0.243678 | ||||||||
\(866\) | 4.68186e6 | − | 4.88800e6i | 0.212140 | − | 0.221481i | ||||
\(867\) | −1.51885e7 | + | 8.71605e6i | −0.686228 | + | 0.393797i | ||||
\(868\) | −25831.7 | − | 599316.i | −0.00116373 | − | 0.0269995i | ||||
\(869\) | 3.17531e7 | + | 1.83326e7i | 1.42638 | + | 0.823523i | ||||
\(870\) | 209639. | − | 846076.i | 0.00939016 | − | 0.0378975i | ||||
\(871\) | 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 | ||||
\(876\) | 3.24194e6 | + | 5.12474e6i | 0.142740 | + | 0.225638i | ||||
\(877\) | −1.80935e7 | + | 3.13389e7i | −0.794373 | + | 1.37589i | 0.128864 | + | 0.991662i | \(0.458867\pi\) |
−0.923237 | + | 0.384231i | \(0.874467\pi\) | |||||||
\(878\) | −3.31972e6 | + | 1.35502e7i | −0.145333 | + | 0.593211i | ||||
\(879\) | −1.84954e7 | − | 48535.3i | −0.807403 | − | 0.00211878i | ||||
\(880\) | 1.35824e6 | + | 1.57268e7i | 0.0591247 | + | 0.684596i | ||||
\(881\) | − | 4.28630e7i | − | 1.86056i | −0.366855 | − | 0.930278i | \(-0.619566\pi\) | ||
0.366855 | − | 0.930278i | \(-0.380434\pi\) | |||||||
\(882\) | −2.23963e7 | − | 5.61171e6i | −0.969403 | − | 0.242898i | ||||
\(883\) | − | 1.61400e7i | − | 0.696628i | −0.937378 | − | 0.348314i | \(-0.886754\pi\) | ||
0.937378 | − | 0.348314i | \(-0.113246\pi\) | |||||||
\(884\) | −8.28491e6 | + | 1.58935e7i | −0.356580 | + | 0.684052i | ||||
\(885\) | −9.52395e6 | + | 1.63964e7i | −0.408751 | + | 0.703706i | ||||
\(886\) | 2.70059e7 | + | 6.61629e6i | 1.15578 | + | 0.283159i | ||||
\(887\) | −1.19750e7 | + | 2.07414e7i | −0.511055 | + | 0.885173i | 0.488863 | + | 0.872361i | \(0.337412\pi\) |
−0.999918 | + | 0.0128126i | \(0.995922\pi\) | |||||||
\(888\) | −2.70738e7 | − | 5.48280e6i | −1.15217 | − | 0.233330i | ||||
\(889\) | 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 | ||||
\(894\) | 2.00062e7 | − | 2.07776e7i | 0.837183 | − | 0.869465i | ||||
\(895\) | −2.50904e6 | − | 1.44859e6i | −0.104701 | − | 0.0604489i | ||||
\(896\) | 599332. | + | 66822.1i | 0.0249400 | + | 0.00278067i | ||||
\(897\) | 2.68950e7 | + | 1.56221e7i | 1.11607 | + | 0.648272i | ||||
\(898\) | −390396. | − | 373932.i | −0.0161553 | − | 0.0154740i | ||||
\(899\) | 1.80525e6 | 0.0744969 | ||||||||
\(900\) | 626234. | + | 1.65473e7i | 0.0257710 | + | 0.680961i | ||||
\(901\) | −6.36600e6 | −0.261249 | ||||||||
\(902\) | −2.02882e7 | − | 1.94325e7i | −0.830284 | − | 0.795268i | ||||
\(903\) | 2536.49 | − | 966582.i | 0.000103518 | − | 0.0394475i | ||||
\(904\) | 2.19840e6 | + | 6.49412e6i | 0.0894716 | + | 0.264301i | ||||
\(905\) | −1.75083e7 | − | 1.01084e7i | −0.710594 | − | 0.410262i | ||||
\(906\) | 1.06255e7 | + | 3.68524e7i | 0.430061 | + | 1.49158i | ||||
\(907\) | −2.47076e7 | + | 1.42649e7i | −0.997268 | + | 0.575773i | −0.907439 | − | 0.420185i | \(-0.861965\pi\) |
−0.0898289 | + | 0.995957i | \(0.528632\pi\) | |||||||
\(908\) | −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 | −0.687309 | − | 0.726365i | \(-0.741208\pi\) |
−0.285396 | − | 0.958410i | \(-0.592125\pi\) | |||||||
\(912\) | −9.89815e6 | − | 1.42491e7i | −0.394064 | − | 0.567286i | ||||
\(913\) | 1.24977e7 | − | 2.16467e7i | 0.496197 | − | 0.859438i | ||||
\(914\) | −1.81836e7 | − | 4.45488e6i | −0.719971 | − | 0.176389i | ||||
\(915\) | 1.86600e6 | + | 3.25168e6i | 0.0736815 | + | 0.128397i | ||||
\(916\) | 1.36624e7 | + | 7.12189e6i | 0.538008 | + | 0.280451i | ||||
\(917\) | 183274.i | 0.00719741i | ||||||||
\(918\) | −8.13671e6 | + | 8.36218e6i | −0.318671 | + | 0.327501i | ||||
\(919\) | 6.66802e6i | 0.260440i | 0.991485 | + | 0.130220i | \(0.0415684\pi\) | ||||
−0.991485 | + | 0.130220i | \(0.958432\pi\) | |||||||
\(920\) | −1.08634e7 | − | 2.17033e6i | −0.423154 | − | 0.0845387i | ||||
\(921\) | 1.09641e7 | + | 1.91060e7i | 0.425916 | + | 0.742199i | ||||
\(922\) | 814291. | − | 3.32371e6i | 0.0315466 | − | 0.128765i | ||||
\(923\) | −3.34785e7 | + | 5.79864e7i | −1.29349 | + | 2.24038i | ||||
\(924\) | −32064.9 | − | 792250.i | −0.00123552 | − | 0.0305269i | ||||
\(925\) | −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 | −0.677835 | − | 0.735214i | \(-0.737081\pi\) |
0.297797 | + | 0.954629i | \(0.403748\pi\) | |||||||
\(930\) | 1.54041e7 | − | 4.44141e6i | 0.584021 | − | 0.168389i | ||||
\(931\) | 1.58101e7 | + | 9.12799e6i | 0.597808 | + | 0.345144i | ||||
\(932\) | 1.62037e7 | − | 698413.i | 0.611048 | − | 0.0263374i | ||||
\(933\) | 25793.1 | − | 9.82899e6i | 0.000970063 | − | 0.369662i | ||||
\(934\) | −2.36066e7 | + | 2.46460e7i | −0.885454 | + | 0.924441i | ||||
\(935\) | −8.39364e6 | −0.313994 | ||||||||
\(936\) | 9.09740e6 | − | 4.43243e7i | 0.339412 | − | 1.65368i | ||||
\(937\) | 129328. | 0.00481219 | 0.00240609 | − | 0.999997i | \(-0.499234\pi\) | ||||
0.00240609 | + | 0.999997i | \(0.499234\pi\) | |||||||
\(938\) | 65128.5 | − | 67996.2i | 0.00241693 | − | 0.00252335i | ||||
\(939\) | −5.31739e6 | − | 3.08863e6i | −0.196804 | − | 0.114315i | ||||
\(940\) | 2.26389e7 | − | 975781.i | 0.835671 | − | 0.0360191i | ||||
\(941\) | −1.98367e7 | − | 1.14527e7i | −0.730291 | − | 0.421633i | 0.0882379 | − | 0.996099i | \(-0.471876\pi\) |
−0.818528 | + | 0.574466i | \(0.805210\pi\) | |||||||
\(942\) | 863779. | + | 831708.i | 0.0317158 | + | 0.0305382i | ||||
\(943\) | 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 | 0.959827 | + | 0.280592i | \(0.0905308\pi\) |
−0.236914 | + | 0.971531i | \(0.576136\pi\) | |||||||
\(948\) | 3.31494e7 | + | 1.73908e7i | 1.19799 | + | 0.628490i | ||||
\(949\) | 6.25249e6 | − | 1.08296e7i | 0.225366 | − | 0.390345i | ||||
\(950\) | 3.11562e6 | − | 1.27171e7i | 0.112004 | − | 0.457172i | ||||
\(951\) | −1.27989e6 | + | 2.20346e6i | −0.0458903 | + | 0.0790048i | ||||
\(952\) | −62821.0 | + | 314447.i | −0.00224653 | + | 0.0112449i | ||||
\(953\) | − | 3.01554e7i | − | 1.07556i | −0.843086 | − | 0.537778i | \(-0.819264\pi\) | ||
0.843086 | − | 0.537778i | \(-0.180736\pi\) | |||||||
\(954\) | 1.54539e7 | − | 4.41187e6i | 0.549752 | − | 0.156947i | ||||
\(955\) | − | 8.76162e6i | − | 0.310868i | ||||||
\(956\) | 8.52020e6 | + | 4.44138e6i | 0.301512 | + | 0.157171i | ||||
\(957\) | 2.38614e6 | + | 6261.67i | 0.0842200 | + | 0.000221009i | ||||
\(958\) | −1.62989e7 | − | 3.99313e6i | −0.573778 | − | 0.140572i | ||||
\(959\) | 685550. | − | 1.18741e6i | 0.0240709 | − | 0.0416920i | ||||
\(960\) | 2.03492e6 | + | 1.59874e7i | 0.0712638 | + | 0.559887i | ||||
\(961\) | 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 | ||||
\(966\) | 540121. | + | 133830.i | 0.0186229 | + | 0.00461435i | ||||
\(967\) | 4.48583e6 | + | 2.58989e6i | 0.154268 | + | 0.0890668i | 0.575147 | − | 0.818050i | \(-0.304945\pi\) |
−0.420879 | + | 0.907117i | \(0.638278\pi\) | |||||||
\(968\) | −1.33163e7 | + | 4.50784e6i | −0.456766 | + | 0.154625i | ||||
\(969\) | 8.00155e6 | − | 4.59174e6i | 0.273757 | − | 0.157097i | ||||
\(970\) | −7.98103e6 | − | 7.64444e6i | −0.272351 | − | 0.260865i | ||||
\(971\) | −1.12452e7 | −0.382754 | −0.191377 | − | 0.981517i | \(-0.561295\pi\) | ||||
−0.191377 | + | 0.981517i | \(0.561295\pi\) | |||||||
\(972\) | 1.39571e7 | − | 2.59388e7i | 0.473838 | − | 0.880612i | ||||
\(973\) | 1.24910e6 | 0.0422976 | ||||||||
\(974\) | 2.94101e7 | + | 2.81698e7i | 0.993343 | + | 0.951450i | ||||
\(975\) | 2.96172e7 | − | 1.69960e7i | 0.997774 | − | 0.572579i | ||||
\(976\) | −4.46994e6 | − | 6.39892e6i | −0.150202 | − | 0.215022i | ||||
\(977\) | 4.56993e7 | + | 2.63845e7i | 1.53170 | + | 0.884327i | 0.999284 | + | 0.0378433i | \(0.0120488\pi\) |
0.532415 | + | 0.846483i | \(0.321285\pi\) | |||||||
\(978\) | 4.05168e7 | + | 1.00392e7i | 1.35453 | + | 0.335622i | ||||
\(979\) | 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 | −0.998720 | − | 0.0505824i | \(-0.983892\pi\) |
0.455554 | − | 0.890208i | \(-0.349441\pi\) | |||||||
\(984\) | −2.14990e7 | − | 1.89862e7i | −0.707834 | − | 0.625101i | ||||
\(985\) | −3.88155e6 | + | 6.72304e6i | −0.127472 | + | 0.220788i | ||||
\(986\) | −937276. | − | 229627.i | −0.0307026 | − | 0.00752196i | ||||
\(987\) | −1.13820e6 | − | 2986.86i | −0.0371901 | − | 9.75938e-5i | ||||
\(988\) | −1.65379e7 | + | 3.17258e7i | −0.538999 | + | 1.03400i | ||||
\(989\) | − | 3.69690e7i | − | 1.20184i | ||||||
\(990\) | 2.03761e7 | − | 5.81711e6i | 0.660745 | − | 0.188634i | ||||
\(991\) | 3.03835e7i | 0.982775i | 0.870941 | + | 0.491388i | \(0.163510\pi\) | ||||
−0.870941 | + | 0.491388i | \(0.836490\pi\) | |||||||
\(992\) | −3.11253e7 | + | 1.20540e7i | −1.00423 | + | 0.388913i | ||||
\(993\) | 6.29344e6 | − | 1.08348e7i | 0.202542 | − | 0.348696i | ||||
\(994\) | −285051. | + | 1.16350e6i | −0.00915076 | + | 0.0373509i | ||||
\(995\) | 4.46959e6 | − | 7.74156e6i | 0.143123 | − | 0.247897i | ||||
\(996\) | 1.18556e7 | − | 2.25986e7i | 0.378683 | − | 0.721827i | ||||
\(997\) | −2.34281e7 | − | 4.05786e7i | −0.746447 | − | 1.29288i | −0.949516 | − | 0.313719i | \(-0.898425\pi\) |
0.203069 | − | 0.979164i | \(-0.434908\pi\) | |||||||
\(998\) | 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.23.8 | yes | 56 | |
3.2 | odd | 2 | 108.6.h.a.71.21 | 56 | |||
4.3 | odd | 2 | inner | 36.6.h.a.23.3 | yes | 56 | |
9.2 | odd | 6 | inner | 36.6.h.a.11.3 | ✓ | 56 | |
9.7 | even | 3 | 108.6.h.a.35.26 | 56 | |||
12.11 | even | 2 | 108.6.h.a.71.26 | 56 | |||
36.7 | odd | 6 | 108.6.h.a.35.21 | 56 | |||
36.11 | even | 6 | inner | 36.6.h.a.11.8 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
36.6.h.a.11.3 | ✓ | 56 | 9.2 | odd | 6 | inner | |
36.6.h.a.11.8 | yes | 56 | 36.11 | even | 6 | inner | |
36.6.h.a.23.3 | yes | 56 | 4.3 | odd | 2 | inner | |
36.6.h.a.23.8 | yes | 56 | 1.1 | even | 1 | trivial | |
108.6.h.a.35.21 | 56 | 36.7 | odd | 6 | |||
108.6.h.a.35.26 | 56 | 9.7 | even | 3 | |||
108.6.h.a.71.21 | 56 | 3.2 | odd | 2 | |||
108.6.h.a.71.26 | 56 | 12.11 | even | 2 |