Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,7,Mod(3,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.3");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.f (of order \(4\), 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: | \(3.68086533792\) |
Analytic rank: | \(0\) |
Dimension: | \(22\) |
Relative dimension: | \(11\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 16.11 |
Dual form | 16.7.f.a.3.9 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 5.94882 | + | 5.34898i | 0.743603 | + | 0.668622i | ||||
\(3\) | 25.6946 | + | 25.6946i | 0.951652 | + | 0.951652i | 0.998884 | − | 0.0472320i | \(-0.0150400\pi\) |
−0.0472320 | + | 0.998884i | \(0.515040\pi\) | |||||||
\(4\) | 6.77693 | + | 63.6402i | 0.105889 | + | 0.994378i | ||||
\(5\) | −141.826 | − | 141.826i | −1.13461 | − | 1.13461i | −0.989401 | − | 0.145209i | \(-0.953615\pi\) |
−0.145209 | − | 0.989401i | \(-0.546385\pi\) | |||||||
\(6\) | 15.4128 | + | 290.292i | 0.0713555 | + | 1.34395i | ||||
\(7\) | 411.977 | 1.20110 | 0.600549 | − | 0.799588i | \(-0.294949\pi\) | ||||
0.600549 | + | 0.799588i | \(0.294949\pi\) | |||||||
\(8\) | −300.095 | + | 414.834i | −0.586123 | + | 0.810222i | ||||
\(9\) | 591.425i | 0.811283i | ||||||||
\(10\) | −85.0738 | − | 1602.32i | −0.0850738 | − | 1.60232i | ||||
\(11\) | −44.9619 | + | 44.9619i | −0.0337805 | + | 0.0337805i | −0.723795 | − | 0.690015i | \(-0.757604\pi\) |
0.690015 | + | 0.723795i | \(0.257604\pi\) | |||||||
\(12\) | −1461.08 | + | 1809.34i | −0.845532 | + | 1.04707i | ||||
\(13\) | 2355.48 | − | 2355.48i | 1.07213 | − | 1.07213i | 0.0749450 | − | 0.997188i | \(-0.476122\pi\) |
0.997188 | − | 0.0749450i | \(-0.0238781\pi\) | |||||||
\(14\) | 2450.78 | + | 2203.65i | 0.893140 | + | 0.803081i | ||||
\(15\) | − | 7288.34i | − | 2.15951i | ||||||
\(16\) | −4004.15 | + | 862.570i | −0.977575 | + | 0.210588i | ||||
\(17\) | −3212.26 | −0.653829 | −0.326915 | − | 0.945054i | \(-0.606009\pi\) | ||||
−0.326915 | + | 0.945054i | \(0.606009\pi\) | |||||||
\(18\) | −3163.52 | + | 3518.28i | −0.542441 | + | 0.603272i | ||||
\(19\) | −1628.35 | − | 1628.35i | −0.237404 | − | 0.237404i | 0.578370 | − | 0.815774i | \(-0.303689\pi\) |
−0.815774 | + | 0.578370i | \(0.803689\pi\) | |||||||
\(20\) | 8064.70 | − | 9986.99i | 1.00809 | − | 1.24837i | ||||
\(21\) | 10585.6 | + | 10585.6i | 1.14303 | + | 1.14303i | ||||
\(22\) | −507.970 | + | 26.9702i | −0.0477057 | + | 0.00253289i | ||||
\(23\) | −8469.99 | −0.696144 | −0.348072 | − | 0.937468i | \(-0.613164\pi\) | ||||
−0.348072 | + | 0.937468i | \(0.613164\pi\) | |||||||
\(24\) | −18369.8 | + | 2948.16i | −1.32883 | + | 0.213264i | ||||
\(25\) | 24604.3i | 1.57468i | ||||||||
\(26\) | 26611.7 | − | 1412.92i | 1.51409 | − | 0.0803892i | ||||
\(27\) | 3534.93 | − | 3534.93i | 0.179593 | − | 0.179593i | ||||
\(28\) | 2791.94 | + | 26218.3i | 0.127184 | + | 1.19435i | ||||
\(29\) | −8578.85 | + | 8578.85i | −0.351751 | + | 0.351751i | −0.860761 | − | 0.509010i | \(-0.830012\pi\) |
0.509010 | + | 0.860761i | \(0.330012\pi\) | |||||||
\(30\) | 38985.1 | − | 43357.0i | 1.44389 | − | 1.60581i | ||||
\(31\) | 17162.0i | 0.576082i | 0.957618 | + | 0.288041i | \(0.0930039\pi\) | ||||
−0.957618 | + | 0.288041i | \(0.906996\pi\) | |||||||
\(32\) | −28433.8 | − | 16286.8i | −0.867731 | − | 0.497034i | ||||
\(33\) | −2310.56 | −0.0642946 | ||||||||
\(34\) | −19109.2 | − | 17182.3i | −0.486189 | − | 0.437164i | ||||
\(35\) | −58429.1 | − | 58429.1i | −1.36278 | − | 1.36278i | ||||
\(36\) | −37638.4 | + | 4008.05i | −0.806722 | + | 0.0859063i | ||||
\(37\) | −39117.2 | − | 39117.2i | −0.772259 | − | 0.772259i | 0.206242 | − | 0.978501i | \(-0.433877\pi\) |
−0.978501 | + | 0.206242i | \(0.933877\pi\) | |||||||
\(38\) | −976.759 | − | 18396.8i | −0.0178007 | − | 0.335267i | ||||
\(39\) | 121046. | 2.04059 | ||||||||
\(40\) | 101396. | − | 16272.9i | 1.58431 | − | 0.254265i | ||||
\(41\) | 68881.9i | 0.999433i | 0.866189 | + | 0.499716i | \(0.166562\pi\) | ||||
−0.866189 | + | 0.499716i | \(0.833438\pi\) | |||||||
\(42\) | 6349.71 | + | 119594.i | 0.0857050 | + | 1.61421i | ||||
\(43\) | −36872.5 | + | 36872.5i | −0.463764 | + | 0.463764i | −0.899887 | − | 0.436123i | \(-0.856351\pi\) |
0.436123 | + | 0.899887i | \(0.356351\pi\) | |||||||
\(44\) | −3166.09 | − | 2556.68i | −0.0371676 | − | 0.0300136i | ||||
\(45\) | 83879.6 | − | 83879.6i | 0.920489 | − | 0.920489i | ||||
\(46\) | −50386.4 | − | 45305.8i | −0.517655 | − | 0.465457i | ||||
\(47\) | 62591.7i | 0.602869i | 0.953487 | + | 0.301435i | \(0.0974655\pi\) | ||||
−0.953487 | + | 0.301435i | \(0.902534\pi\) | |||||||
\(48\) | −125048. | − | 80721.6i | −1.13072 | − | 0.729904i | ||||
\(49\) | 52075.9 | 0.442638 | ||||||||
\(50\) | −131608. | + | 146367.i | −1.05286 | + | 1.17093i | ||||
\(51\) | −82537.8 | − | 82537.8i | −0.622218 | − | 0.622218i | ||||
\(52\) | 165866. | + | 133940.i | 1.17963 | + | 0.952577i | ||||
\(53\) | −16287.1 | − | 16287.1i | −0.109400 | − | 0.109400i | 0.650288 | − | 0.759688i | \(-0.274648\pi\) |
−0.759688 | + | 0.650288i | \(0.774648\pi\) | |||||||
\(54\) | 39936.9 | − | 2120.41i | 0.253626 | − | 0.0134660i | ||||
\(55\) | 12753.5 | 0.0766554 | ||||||||
\(56\) | −123632. | + | 170902.i | −0.703992 | + | 0.973156i | ||||
\(57\) | − | 83679.7i | − | 0.451851i | ||||||
\(58\) | −96922.0 | + | 5145.98i | −0.496751 | + | 0.0263745i | ||||
\(59\) | 56470.6 | − | 56470.6i | 0.274958 | − | 0.274958i | −0.556134 | − | 0.831092i | \(-0.687716\pi\) |
0.831092 | + | 0.556134i | \(0.187716\pi\) | |||||||
\(60\) | 463831. | − | 49392.5i | 2.14737 | − | 0.228669i | ||||
\(61\) | 242781. | − | 242781.i | 1.06961 | − | 1.06961i | 0.0722192 | − | 0.997389i | \(-0.476992\pi\) |
0.997389 | − | 0.0722192i | \(-0.0230081\pi\) | |||||||
\(62\) | −91799.4 | + | 102094.i | −0.385181 | + | 0.428376i | ||||
\(63\) | 243653.i | 0.974431i | ||||||||
\(64\) | −82029.9 | − | 248979.i | −0.312919 | − | 0.949780i | ||||
\(65\) | −668136. | −2.43290 | ||||||||
\(66\) | −13745.1 | − | 12359.1i | −0.0478096 | − | 0.0429888i | ||||
\(67\) | 337557. | + | 337557.i | 1.12234 | + | 1.12234i | 0.991389 | + | 0.130946i | \(0.0418015\pi\) |
0.130946 | + | 0.991389i | \(0.458198\pi\) | |||||||
\(68\) | −21769.3 | − | 204429.i | −0.0692336 | − | 0.650153i | ||||
\(69\) | −217633. | − | 217633.i | −0.662487 | − | 0.662487i | ||||
\(70\) | −35048.4 | − | 660120.i | −0.102182 | − | 1.92455i | ||||
\(71\) | 355567. | 0.993452 | 0.496726 | − | 0.867907i | \(-0.334535\pi\) | ||||
0.496726 | + | 0.867907i | \(0.334535\pi\) | |||||||
\(72\) | −245343. | − | 177484.i | −0.657319 | − | 0.475512i | ||||
\(73\) | 341935.i | 0.878971i | 0.898250 | + | 0.439486i | \(0.144839\pi\) | ||||
−0.898250 | + | 0.439486i | \(0.855161\pi\) | |||||||
\(74\) | −23464.3 | − | 441939.i | −0.0579045 | − | 1.09060i | ||||
\(75\) | −632199. | + | 632199.i | −1.49855 | + | 1.49855i | ||||
\(76\) | 92593.4 | − | 114664.i | 0.210930 | − | 0.261208i | ||||
\(77\) | −18523.3 | + | 18523.3i | −0.0405737 | + | 0.0405737i | ||||
\(78\) | 720081. | + | 647472.i | 1.51739 | + | 1.36439i | ||||
\(79\) | − | 439742.i | − | 0.891901i | −0.895058 | − | 0.445950i | \(-0.852866\pi\) | ||
0.895058 | − | 0.445950i | \(-0.147134\pi\) | |||||||
\(80\) | 690228. | + | 445558.i | 1.34810 | + | 0.870230i | ||||
\(81\) | 612806. | 1.15310 | ||||||||
\(82\) | −368448. | + | 409766.i | −0.668243 | + | 0.743181i | ||||
\(83\) | −686399. | − | 686399.i | −1.20045 | − | 1.20045i | −0.974031 | − | 0.226415i | \(-0.927299\pi\) |
−0.226415 | − | 0.974031i | \(-0.572701\pi\) | |||||||
\(84\) | −601931. | + | 745406.i | −1.01557 | + | 1.25764i | ||||
\(85\) | 455583. | + | 455583.i | 0.741841 | + | 0.741841i | ||||
\(86\) | −416578. | + | 22117.8i | −0.654939 | + | 0.0347733i | ||||
\(87\) | −440860. | −0.669488 | ||||||||
\(88\) | −5158.86 | − | 32144.5i | −0.00757018 | − | 0.0471693i | ||||
\(89\) | 599060.i | 0.849768i | 0.905248 | + | 0.424884i | \(0.139685\pi\) | ||||
−0.905248 | + | 0.424884i | \(0.860315\pi\) | |||||||
\(90\) | 947654. | − | 50314.8i | 1.29994 | − | 0.0690189i | ||||
\(91\) | 970401. | − | 970401.i | 1.28774 | − | 1.28774i | ||||
\(92\) | −57400.5 | − | 539032.i | −0.0737144 | − | 0.692231i | ||||
\(93\) | −440972. | + | 440972.i | −0.548229 | + | 0.548229i | ||||
\(94\) | −334801. | + | 372347.i | −0.403092 | + | 0.448295i | ||||
\(95\) | 461886.i | 0.538721i | ||||||||
\(96\) | −312112. | − | 1.14908e6i | −0.352775 | − | 1.29878i | ||||
\(97\) | 997682. | 1.09314 | 0.546572 | − | 0.837412i | \(-0.315933\pi\) | ||||
0.546572 | + | 0.837412i | \(0.315933\pi\) | |||||||
\(98\) | 309790. | + | 278553.i | 0.329147 | + | 0.295957i | ||||
\(99\) | −26591.6 | − | 26591.6i | −0.0274056 | − | 0.0274056i | ||||
\(100\) | −1.56583e6 | + | 166742.i | −1.56583 | + | 0.166742i | ||||
\(101\) | −238723. | − | 238723.i | −0.231702 | − | 0.231702i | 0.581701 | − | 0.813403i | \(-0.302387\pi\) |
−0.813403 | + | 0.581701i | \(0.802387\pi\) | |||||||
\(102\) | −49509.9 | − | 932495.i | −0.0466543 | − | 0.878711i | ||||
\(103\) | −526787. | −0.482085 | −0.241042 | − | 0.970515i | \(-0.577489\pi\) | ||||
−0.241042 | + | 0.970515i | \(0.577489\pi\) | |||||||
\(104\) | 270264. | + | 1.68400e6i | 0.240264 | + | 1.49707i | ||||
\(105\) | − | 3.00263e6i | − | 2.59378i | ||||||
\(106\) | −9769.76 | − | 184009.i | −0.00820288 | − | 0.154497i | ||||
\(107\) | 1.20835e6 | − | 1.20835e6i | 0.986375 | − | 0.986375i | −0.0135332 | − | 0.999908i | \(-0.504308\pi\) |
0.999908 | + | 0.0135332i | \(0.00430787\pi\) | |||||||
\(108\) | 248920. | + | 201008.i | 0.197600 | + | 0.159566i | ||||
\(109\) | −1.65809e6 | + | 1.65809e6i | −1.28035 | + | 1.28035i | −0.339879 | + | 0.940469i | \(0.610386\pi\) |
−0.940469 | + | 0.339879i | \(0.889614\pi\) | |||||||
\(110\) | 75868.6 | + | 68218.4i | 0.0570012 | + | 0.0512535i | ||||
\(111\) | − | 2.01020e6i | − | 1.46984i | ||||||
\(112\) | −1.64962e6 | + | 355359.i | −1.17416 | + | 0.252937i | ||||
\(113\) | 57104.5 | 0.0395763 | 0.0197881 | − | 0.999804i | \(-0.493701\pi\) | ||||
0.0197881 | + | 0.999804i | \(0.493701\pi\) | |||||||
\(114\) | 447601. | − | 497796.i | 0.302118 | − | 0.335998i | ||||
\(115\) | 1.20127e6 | + | 1.20127e6i | 0.789852 | + | 0.789852i | ||||
\(116\) | −604098. | − | 487821.i | −0.387020 | − | 0.312526i | ||||
\(117\) | 1.39309e6 | + | 1.39309e6i | 0.869803 | + | 0.869803i | ||||
\(118\) | 637993. | − | 33873.6i | 0.388303 | − | 0.0206165i | ||||
\(119\) | −1.32338e6 | −0.785313 | ||||||||
\(120\) | 3.02345e6 | + | 2.18719e6i | 1.74968 | + | 1.26574i | ||||
\(121\) | 1.76752e6i | 0.997718i | ||||||||
\(122\) | 2.74289e6 | − | 145631.i | 1.51053 | − | 0.0801999i | ||||
\(123\) | −1.76989e6 | + | 1.76989e6i | −0.951112 | + | 0.951112i | ||||
\(124\) | −1.09220e6 | + | 116306.i | −0.572843 | + | 0.0610010i | ||||
\(125\) | 1.27351e6 | − | 1.27351e6i | 0.652035 | − | 0.652035i | ||||
\(126\) | −1.30330e6 | + | 1.44945e6i | −0.651526 | + | 0.724589i | ||||
\(127\) | 699514.i | 0.341496i | 0.985315 | + | 0.170748i | \(0.0546183\pi\) | ||||
−0.985315 | + | 0.170748i | \(0.945382\pi\) | |||||||
\(128\) | 843802. | − | 1.91991e6i | 0.402356 | − | 0.915483i | ||||
\(129\) | −1.89485e6 | −0.882684 | ||||||||
\(130\) | −3.97462e6 | − | 3.57384e6i | −1.80911 | − | 1.62669i | ||||
\(131\) | 1.85396e6 | + | 1.85396e6i | 0.824684 | + | 0.824684i | 0.986776 | − | 0.162092i | \(-0.0518242\pi\) |
−0.162092 | + | 0.986776i | \(0.551824\pi\) | |||||||
\(132\) | −15658.5 | − | 147044.i | −0.00680812 | − | 0.0639331i | ||||
\(133\) | −670843. | − | 670843.i | −0.285145 | − | 0.285145i | ||||
\(134\) | 202482. | + | 3.81365e6i | 0.0841534 | + | 1.58499i | ||||
\(135\) | −1.00269e6 | −0.407536 | ||||||||
\(136\) | 963984. | − | 1.33255e6i | 0.383224 | − | 0.529747i | ||||
\(137\) | − | 1.00819e6i | − | 0.392086i | −0.980595 | − | 0.196043i | \(-0.937191\pi\) | ||
0.980595 | − | 0.196043i | \(-0.0628092\pi\) | |||||||
\(138\) | −130546. | − | 2.45877e6i | −0.0496737 | − | 0.935581i | ||||
\(139\) | −1.56333e6 | + | 1.56333e6i | −0.582112 | + | 0.582112i | −0.935483 | − | 0.353371i | \(-0.885035\pi\) |
0.353371 | + | 0.935483i | \(0.385035\pi\) | |||||||
\(140\) | 3.32247e6 | − | 4.11441e6i | 1.21081 | − | 1.49942i | ||||
\(141\) | −1.60827e6 | + | 1.60827e6i | −0.573722 | + | 0.573722i | ||||
\(142\) | 2.11521e6 | + | 1.90192e6i | 0.738733 | + | 0.664244i | ||||
\(143\) | 211813.i | 0.0724344i | ||||||||
\(144\) | −510145. | − | 2.36815e6i | −0.170847 | − | 0.793090i | ||||
\(145\) | 2.43341e6 | 0.798199 | ||||||||
\(146\) | −1.82900e6 | + | 2.03411e6i | −0.587699 | + | 0.653605i | ||||
\(147\) | 1.33807e6 | + | 1.33807e6i | 0.421237 | + | 0.421237i | ||||
\(148\) | 2.22433e6 | − | 2.75452e6i | 0.686143 | − | 0.849691i | ||||
\(149\) | −1.96711e6 | − | 1.96711e6i | −0.594661 | − | 0.594661i | 0.344226 | − | 0.938887i | \(-0.388141\pi\) |
−0.938887 | + | 0.344226i | \(0.888141\pi\) | |||||||
\(150\) | −7.14245e6 | + | 379221.i | −2.11628 | + | 0.112362i | ||||
\(151\) | 431913. | 0.125449 | 0.0627243 | − | 0.998031i | \(-0.480021\pi\) | ||||
0.0627243 | + | 0.998031i | \(0.480021\pi\) | |||||||
\(152\) | 1.16416e6 | − | 186835.i | 0.331498 | − | 0.0532019i | ||||
\(153\) | − | 1.89981e6i | − | 0.530440i | ||||||
\(154\) | −209272. | + | 11111.1i | −0.0572992 | + | 0.00304225i | ||||
\(155\) | 2.43403e6 | − | 2.43403e6i | 0.653628 | − | 0.653628i | ||||
\(156\) | 820320. | + | 7.70339e6i | 0.216078 | + | 2.02912i | ||||
\(157\) | 4.24849e6 | − | 4.24849e6i | 1.09783 | − | 1.09783i | 0.103166 | − | 0.994664i | \(-0.467103\pi\) |
0.994664 | − | 0.103166i | \(-0.0328974\pi\) | |||||||
\(158\) | 2.35217e6 | − | 2.61595e6i | 0.596344 | − | 0.663220i | ||||
\(159\) | − | 836983.i | − | 0.208221i | ||||||
\(160\) | 1.72276e6 | + | 6.34256e6i | 0.420597 | + | 1.54848i | ||||
\(161\) | −3.48944e6 | −0.836138 | ||||||||
\(162\) | 3.64547e6 | + | 3.27789e6i | 0.857450 | + | 0.770990i | ||||
\(163\) | −2.55603e6 | − | 2.55603e6i | −0.590206 | − | 0.590206i | 0.347481 | − | 0.937687i | \(-0.387037\pi\) |
−0.937687 | + | 0.347481i | \(0.887037\pi\) | |||||||
\(164\) | −4.38366e6 | + | 466808.i | −0.993814 | + | 0.105829i | ||||
\(165\) | 327697. | + | 327697.i | 0.0729493 | + | 0.0729493i | ||||
\(166\) | −411733. | − | 7.75480e6i | −0.0900102 | − | 1.69530i | ||||
\(167\) | 646882. | 0.138891 | 0.0694457 | − | 0.997586i | \(-0.477877\pi\) | ||||
0.0694457 | + | 0.997586i | \(0.477877\pi\) | |||||||
\(168\) | −7.56794e6 | + | 1.21457e6i | −1.59606 | + | 0.256151i | ||||
\(169\) | − | 6.26972e6i | − | 1.29894i | ||||||
\(170\) | 273279. | + | 5.14708e6i | 0.0556237 | + | 1.04765i | ||||
\(171\) | 963048. | − | 963048.i | 0.192602 | − | 0.192602i | ||||
\(172\) | −2.59646e6 | − | 2.09669e6i | −0.510265 | − | 0.412049i | ||||
\(173\) | −4.10734e6 | + | 4.10734e6i | −0.793273 | + | 0.793273i | −0.982025 | − | 0.188752i | \(-0.939556\pi\) |
0.188752 | + | 0.982025i | \(0.439556\pi\) | |||||||
\(174\) | −2.62260e6 | − | 2.35815e6i | −0.497833 | − | 0.447635i | ||||
\(175\) | 1.01364e7i | 1.89134i | ||||||||
\(176\) | 141251. | − | 218817.i | 0.0259092 | − | 0.0401368i | ||||
\(177\) | 2.90198e6 | 0.523329 | ||||||||
\(178\) | −3.20436e6 | + | 3.56370e6i | −0.568174 | + | 0.631890i | ||||
\(179\) | 1.11716e6 | + | 1.11716e6i | 0.194786 | + | 0.194786i | 0.797760 | − | 0.602975i | \(-0.206018\pi\) |
−0.602975 | + | 0.797760i | \(0.706018\pi\) | |||||||
\(180\) | 5.90656e6 | + | 4.76967e6i | 1.01278 | + | 0.817844i | ||||
\(181\) | 2.49437e6 | + | 2.49437e6i | 0.420654 | + | 0.420654i | 0.885429 | − | 0.464775i | \(-0.153865\pi\) |
−0.464775 | + | 0.885429i | \(0.653865\pi\) | |||||||
\(182\) | 1.09634e7 | − | 582091.i | 1.81857 | − | 0.0965554i | ||||
\(183\) | 1.24763e7 | 2.03579 | ||||||||
\(184\) | 2.54180e6 | − | 3.51364e6i | 0.408026 | − | 0.564032i | ||||
\(185\) | 1.10957e7i | 1.75243i | ||||||||
\(186\) | −4.98201e6 | + | 264515.i | −0.774223 | + | 0.0411066i | ||||
\(187\) | 144429. | − | 144429.i | 0.0220867 | − | 0.0220867i | ||||
\(188\) | −3.98335e6 | + | 424179.i | −0.599480 | + | 0.0638375i | ||||
\(189\) | 1.45631e6 | − | 1.45631e6i | 0.215709 | − | 0.215709i | ||||
\(190\) | −2.47062e6 | + | 2.74768e6i | −0.360201 | + | 0.400594i | ||||
\(191\) | − | 7.12374e6i | − | 1.02237i | −0.859471 | − | 0.511185i | \(-0.829207\pi\) | ||
0.859471 | − | 0.511185i | \(-0.170793\pi\) | |||||||
\(192\) | 4.28969e6 | − | 8.50514e6i | 0.606069 | − | 1.20165i | ||||
\(193\) | 1.63763e6 | 0.227795 | 0.113898 | − | 0.993492i | \(-0.463666\pi\) | ||||
0.113898 | + | 0.993492i | \(0.463666\pi\) | |||||||
\(194\) | 5.93503e6 | + | 5.33658e6i | 0.812864 | + | 0.730899i | ||||
\(195\) | −1.71675e7 | − | 1.71675e7i | −2.31528 | − | 2.31528i | ||||
\(196\) | 352915. | + | 3.31412e6i | 0.0468707 | + | 0.440149i | ||||
\(197\) | −8.02811e6 | − | 8.02811e6i | −1.05006 | − | 1.05006i | −0.998679 | − | 0.0513818i | \(-0.983637\pi\) |
−0.0513818 | − | 0.998679i | \(-0.516363\pi\) | |||||||
\(198\) | −15950.8 | − | 300426.i | −0.00205489 | − | 0.0387028i | ||||
\(199\) | −1.07094e7 | −1.35896 | −0.679481 | − | 0.733693i | \(-0.737795\pi\) | ||||
−0.679481 | + | 0.733693i | \(0.737795\pi\) | |||||||
\(200\) | −1.02067e7 | − | 7.38364e6i | −1.27584 | − | 0.922955i | ||||
\(201\) | 1.73468e7i | 2.13615i | ||||||||
\(202\) | −143197. | − | 2.69704e6i | −0.0173732 | − | 0.327215i | ||||
\(203\) | −3.53429e6 | + | 3.53429e6i | −0.422487 | + | 0.422487i | ||||
\(204\) | 4.69337e6 | − | 5.81207e6i | 0.552833 | − | 0.684606i | ||||
\(205\) | 9.76926e6 | − | 9.76926e6i | 1.13397 | − | 1.13397i | ||||
\(206\) | −3.13376e6 | − | 2.81777e6i | −0.358480 | − | 0.322332i | ||||
\(207\) | − | 5.00936e6i | − | 0.564770i | ||||||
\(208\) | −7.39991e6 | + | 1.14634e7i | −0.822311 | + | 1.27387i | ||||
\(209\) | 146428. | 0.0160392 | ||||||||
\(210\) | 1.60610e7 | − | 1.78621e7i | 1.73426 | − | 1.92874i | ||||
\(211\) | −599213. | − | 599213.i | −0.0637872 | − | 0.0637872i | 0.674494 | − | 0.738281i | \(-0.264362\pi\) |
−0.738281 | + | 0.674494i | \(0.764362\pi\) | |||||||
\(212\) | 926140. | − | 1.14689e6i | 0.0972006 | − | 0.120369i | ||||
\(213\) | 9.13616e6 | + | 9.13616e6i | 0.945420 | + | 0.945420i | ||||
\(214\) | 1.36517e7 | − | 724824.i | 1.39298 | − | 0.0739591i | ||||
\(215\) | 1.04590e7 | 1.05238 | ||||||||
\(216\) | 405593. | + | 2.52722e6i | 0.0402466 | + | 0.250774i | ||||
\(217\) | 7.07037e6i | 0.691931i | ||||||||
\(218\) | −1.87327e7 | + | 994596.i | −1.80814 | + | 0.0960013i | ||||
\(219\) | −8.78588e6 | + | 8.78588e6i | −0.836475 | + | 0.836475i | ||||
\(220\) | 86429.9 | + | 811638.i | 0.00811700 | + | 0.0762245i | ||||
\(221\) | −7.56641e6 | + | 7.56641e6i | −0.700992 | + | 0.700992i | ||||
\(222\) | 1.07525e7 | − | 1.19583e7i | 0.982770 | − | 1.09298i | ||||
\(223\) | 4.79044e6i | 0.431977i | 0.976396 | + | 0.215989i | \(0.0692975\pi\) | ||||
−0.976396 | + | 0.215989i | \(0.930703\pi\) | |||||||
\(224\) | −1.17141e7 | − | 6.70979e6i | −1.04223 | − | 0.596987i | ||||
\(225\) | −1.45516e7 | −1.27751 | ||||||||
\(226\) | 339704. | + | 305451.i | 0.0294290 | + | 0.0264616i | ||||
\(227\) | 1.24849e7 | + | 1.24849e7i | 1.06735 | + | 1.06735i | 0.997562 | + | 0.0697866i | \(0.0222318\pi\) |
0.0697866 | + | 0.997562i | \(0.477768\pi\) | |||||||
\(228\) | 5.32539e6 | − | 567091.i | 0.449311 | − | 0.0478463i | ||||
\(229\) | 4.70901e6 | + | 4.70901e6i | 0.392123 | + | 0.392123i | 0.875444 | − | 0.483320i | \(-0.160569\pi\) |
−0.483320 | + | 0.875444i | \(0.660569\pi\) | |||||||
\(230\) | 720574. | + | 1.35717e7i | 0.0592236 | + | 1.11545i | ||||
\(231\) | −951895. | −0.0772242 | ||||||||
\(232\) | −984325. | − | 6.13326e6i | −0.0788269 | − | 0.491165i | ||||
\(233\) | − | 7.62544e6i | − | 0.602833i | −0.953493 | − | 0.301417i | \(-0.902540\pi\) | ||
0.953493 | − | 0.301417i | \(-0.0974595\pi\) | |||||||
\(234\) | 835637. | + | 1.57388e7i | 0.0652184 | + | 1.22836i | ||||
\(235\) | 8.87714e6 | − | 8.87714e6i | 0.684021 | − | 0.684021i | ||||
\(236\) | 3.97650e6 | + | 3.21110e6i | 0.302527 | + | 0.244297i | ||||
\(237\) | 1.12990e7 | − | 1.12990e7i | 0.848779 | − | 0.848779i | ||||
\(238\) | −7.87254e6 | − | 7.07871e6i | −0.583961 | − | 0.525078i | ||||
\(239\) | − | 1.14653e7i | − | 0.839830i | −0.907563 | − | 0.419915i | \(-0.862060\pi\) | ||
0.907563 | − | 0.419915i | \(-0.137940\pi\) | |||||||
\(240\) | 6.28670e6 | + | 2.91836e7i | 0.454767 | + | 2.11108i | ||||
\(241\) | −1.91183e7 | −1.36583 | −0.682916 | − | 0.730497i | \(-0.739289\pi\) | ||||
−0.682916 | + | 0.730497i | \(0.739289\pi\) | |||||||
\(242\) | −9.45441e6 | + | 1.05146e7i | −0.667096 | + | 0.741905i | ||||
\(243\) | 1.31688e7 | + | 1.31688e7i | 0.917760 | + | 0.917760i | ||||
\(244\) | 1.70959e7 | + | 1.38053e7i | 1.17685 | + | 0.950334i | ||||
\(245\) | −7.38573e6 | − | 7.38573e6i | −0.502221 | − | 0.502221i | ||||
\(246\) | −1.99959e7 | + | 1.06166e6i | −1.34318 | + | 0.0713150i | ||||
\(247\) | −7.67109e6 | −0.509057 | ||||||||
\(248\) | −7.11939e6 | − | 5.15025e6i | −0.466754 | − | 0.337655i | ||||
\(249\) | − | 3.52735e7i | − | 2.28481i | ||||||
\(250\) | 1.43878e7 | − | 763907.i | 0.920820 | − | 0.0488900i | ||||
\(251\) | 1.23788e7 | − | 1.23788e7i | 0.782810 | − | 0.782810i | −0.197494 | − | 0.980304i | \(-0.563280\pi\) |
0.980304 | + | 0.197494i | \(0.0632804\pi\) | |||||||
\(252\) | −1.55061e7 | + | 1.65122e6i | −0.968952 | + | 0.103182i | ||||
\(253\) | 380827. | − | 380827.i | 0.0235161 | − | 0.0235161i | ||||
\(254\) | −3.74168e6 | + | 4.16128e6i | −0.228331 | + | 0.253937i | ||||
\(255\) | 2.34120e7i | 1.41195i | ||||||||
\(256\) | 1.52892e7 | − | 6.90771e6i | 0.911305 | − | 0.411732i | ||||
\(257\) | 2.58515e7 | 1.52295 | 0.761475 | − | 0.648194i | \(-0.224475\pi\) | ||||
0.761475 | + | 0.648194i | \(0.224475\pi\) | |||||||
\(258\) | −1.12721e7 | − | 1.01355e7i | −0.656366 | − | 0.590182i | ||||
\(259\) | −1.61154e7 | − | 1.61154e7i | −0.927559 | − | 0.927559i | ||||
\(260\) | −4.52791e6 | − | 4.25203e7i | −0.257619 | − | 2.41923i | ||||
\(261\) | −5.07374e6 | − | 5.07374e6i | −0.285369 | − | 0.285369i | ||||
\(262\) | 1.11209e6 | + | 2.09457e7i | 0.0618353 | + | 1.16464i | ||||
\(263\) | 4.58883e6 | 0.252252 | 0.126126 | − | 0.992014i | \(-0.459746\pi\) | ||||
0.126126 | + | 0.992014i | \(0.459746\pi\) | |||||||
\(264\) | 693386. | − | 958496.i | 0.0376846 | − | 0.0520929i | ||||
\(265\) | 4.61989e6i | 0.248252i | ||||||||
\(266\) | −402402. | − | 7.57905e6i | −0.0213804 | − | 0.402689i | ||||
\(267\) | −1.53926e7 | + | 1.53926e7i | −0.808684 | + | 0.808684i | ||||
\(268\) | −1.91946e7 | + | 2.37698e7i | −0.997182 | + | 1.23487i | ||||
\(269\) | −1.43832e7 | + | 1.43832e7i | −0.738921 | + | 0.738921i | −0.972369 | − | 0.233448i | \(-0.924999\pi\) |
0.233448 | + | 0.972369i | \(0.424999\pi\) | |||||||
\(270\) | −5.96483e6 | − | 5.36337e6i | −0.303045 | − | 0.272488i | ||||
\(271\) | − | 1.56022e7i | − | 0.783932i | −0.919980 | − | 0.391966i | \(-0.871795\pi\) | ||
0.919980 | − | 0.391966i | \(-0.128205\pi\) | |||||||
\(272\) | 1.28624e7 | − | 2.77080e6i | 0.639167 | − | 0.137689i | ||||
\(273\) | 4.98682e7 | 2.45095 | ||||||||
\(274\) | 5.39279e6 | − | 5.99755e6i | 0.262157 | − | 0.291556i | ||||
\(275\) | −1.10626e6 | − | 1.10626e6i | −0.0531935 | − | 0.0531935i | ||||
\(276\) | 1.23753e7 | − | 1.53251e7i | 0.588612 | − | 0.728913i | ||||
\(277\) | −1.49968e7 | − | 1.49968e7i | −0.705600 | − | 0.705600i | 0.260007 | − | 0.965607i | \(-0.416275\pi\) |
−0.965607 | + | 0.260007i | \(0.916275\pi\) | |||||||
\(278\) | −1.76622e7 | + | 937756.i | −0.822072 | + | 0.0436471i | ||||
\(279\) | −1.01501e7 | −0.467365 | ||||||||
\(280\) | 4.17726e7 | − | 6.70407e6i | 1.90291 | − | 0.305397i | ||||
\(281\) | − | 5.16260e6i | − | 0.232675i | −0.993210 | − | 0.116338i | \(-0.962885\pi\) | ||
0.993210 | − | 0.116338i | \(-0.0371154\pi\) | |||||||
\(282\) | −1.81699e7 | + | 964712.i | −0.810224 | + | 0.0430180i | ||||
\(283\) | 7.74606e6 | − | 7.74606e6i | 0.341760 | − | 0.341760i | −0.515269 | − | 0.857029i | \(-0.672308\pi\) |
0.857029 | + | 0.515269i | \(0.172308\pi\) | |||||||
\(284\) | 2.40965e6 | + | 2.26284e7i | 0.105196 | + | 0.987867i | ||||
\(285\) | −1.18680e7 | + | 1.18680e7i | −0.512675 | + | 0.512675i | ||||
\(286\) | −1.13298e6 | + | 1.26004e6i | −0.0484312 | + | 0.0538624i | ||||
\(287\) | 2.83777e7i | 1.20042i | ||||||||
\(288\) | 9.63243e6 | − | 1.68165e7i | 0.403235 | − | 0.703975i | ||||
\(289\) | −1.38189e7 | −0.572508 | ||||||||
\(290\) | 1.44759e7 | + | 1.30163e7i | 0.593543 | + | 0.533694i | ||||
\(291\) | 2.56350e7 | + | 2.56350e7i | 1.04029 | + | 1.04029i | ||||
\(292\) | −2.17608e7 | + | 2.31727e6i | −0.874030 | + | 0.0930738i | ||||
\(293\) | 1.94355e7 | + | 1.94355e7i | 0.772668 | + | 0.772668i | 0.978572 | − | 0.205904i | \(-0.0660136\pi\) |
−0.205904 | + | 0.978572i | \(0.566014\pi\) | |||||||
\(294\) | 802635. | + | 1.51172e7i | 0.0315846 | + | 0.594881i | ||||
\(295\) | −1.60180e7 | −0.623940 | ||||||||
\(296\) | 2.79660e7 | − | 4.48826e6i | 1.07834 | − | 0.173062i | ||||
\(297\) | 317874.i | 0.0121335i | ||||||||
\(298\) | −1.17996e6 | − | 2.22240e7i | −0.0445880 | − | 0.839794i | ||||
\(299\) | −1.99509e7 | + | 1.99509e7i | −0.746359 | + | 0.746359i | ||||
\(300\) | −4.45176e7 | − | 3.59489e7i | −1.64880 | − | 1.33144i | ||||
\(301\) | −1.51906e7 | + | 1.51906e7i | −0.557027 | + | 0.557027i | ||||
\(302\) | 2.56937e6 | + | 2.31029e6i | 0.0932839 | + | 0.0838777i | ||||
\(303\) | − | 1.22678e7i | − | 0.441000i | ||||||
\(304\) | 7.92473e6 | + | 5.11559e6i | 0.282074 | + | 0.182085i | ||||
\(305\) | −6.88653e7 | −2.42718 | ||||||||
\(306\) | 1.01621e7 | − | 1.13016e7i | 0.354664 | − | 0.394437i | ||||
\(307\) | 1.20617e7 | + | 1.20617e7i | 0.416861 | + | 0.416861i | 0.884120 | − | 0.467259i | \(-0.154758\pi\) |
−0.467259 | + | 0.884120i | \(0.654758\pi\) | |||||||
\(308\) | −1.30435e6 | − | 1.05329e6i | −0.0446420 | − | 0.0360493i | ||||
\(309\) | −1.35356e7 | − | 1.35356e7i | −0.458777 | − | 0.458777i | ||||
\(310\) | 2.74992e7 | − | 1.46004e6i | 0.923069 | − | 0.0490094i | ||||
\(311\) | 2.86256e7 | 0.951642 | 0.475821 | − | 0.879542i | \(-0.342151\pi\) | ||||
0.475821 | + | 0.879542i | \(0.342151\pi\) | |||||||
\(312\) | −3.63253e7 | + | 5.02140e7i | −1.19604 | + | 1.65333i | ||||
\(313\) | − | 4.36158e7i | − | 1.42236i | −0.703009 | − | 0.711181i | \(-0.748160\pi\) | ||
0.703009 | − | 0.711181i | \(-0.251840\pi\) | |||||||
\(314\) | 4.79985e7 | − | 2.54843e6i | 1.55038 | − | 0.0823160i | ||||
\(315\) | 3.45564e7 | − | 3.45564e7i | 1.10560 | − | 1.10560i | ||||
\(316\) | 2.79853e7 | − | 2.98010e6i | 0.886886 | − | 0.0944429i | ||||
\(317\) | −1.79251e7 | + | 1.79251e7i | −0.562708 | + | 0.562708i | −0.930076 | − | 0.367368i | \(-0.880259\pi\) |
0.367368 | + | 0.930076i | \(0.380259\pi\) | |||||||
\(318\) | 4.47700e6 | − | 4.97906e6i | 0.139221 | − | 0.154834i | ||||
\(319\) | − | 771442.i | − | 0.0237646i | ||||||
\(320\) | −2.36778e7 | + | 4.69457e7i | −0.722588 | + | 1.43267i | ||||
\(321\) | 6.20963e7 | 1.87737 | ||||||||
\(322\) | −2.07580e7 | − | 1.86649e7i | −0.621754 | − | 0.559060i | ||||
\(323\) | 5.23069e6 | + | 5.23069e6i | 0.155221 | + | 0.155221i | ||||
\(324\) | 4.15294e6 | + | 3.89991e7i | 0.122102 | + | 1.14662i | ||||
\(325\) | 5.79549e7 | + | 5.79549e7i | 1.68826 | + | 1.68826i | ||||
\(326\) | −1.53322e6 | − | 2.88776e7i | −0.0442540 | − | 0.833504i | ||||
\(327\) | −8.52078e7 | −2.43689 | ||||||||
\(328\) | −2.85745e7 | − | 2.06711e7i | −0.809762 | − | 0.585791i | ||||
\(329\) | 2.57863e7i | 0.724106i | ||||||||
\(330\) | 196568. | + | 3.70226e6i | 0.00546978 | + | 0.103021i | ||||
\(331\) | −1.49668e7 | + | 1.49668e7i | −0.412709 | + | 0.412709i | −0.882681 | − | 0.469972i | \(-0.844264\pi\) |
0.469972 | + | 0.882681i | \(0.344264\pi\) | |||||||
\(332\) | 3.90309e7 | − | 4.83343e7i | 1.06658 | − | 1.32081i | ||||
\(333\) | 2.31349e7 | − | 2.31349e7i | 0.626520 | − | 0.626520i | ||||
\(334\) | 3.84818e6 | + | 3.46016e6i | 0.103280 | + | 0.0928659i | ||||
\(335\) | − | 9.57489e7i | − | 2.54683i | ||||||
\(336\) | −5.15170e7 | − | 3.32554e7i | −1.35810 | − | 0.876687i | ||||
\(337\) | −1.92483e7 | −0.502924 | −0.251462 | − | 0.967867i | \(-0.580911\pi\) | ||||
−0.251462 | + | 0.967867i | \(0.580911\pi\) | |||||||
\(338\) | 3.35366e7 | − | 3.72974e7i | 0.868498 | − | 0.965893i | ||||
\(339\) | 1.46728e6 | + | 1.46728e6i | 0.0376629 | + | 0.0376629i | ||||
\(340\) | −2.59059e7 | + | 3.20808e7i | −0.659117 | + | 0.816223i | ||||
\(341\) | −771638. | − | 771638.i | −0.0194603 | − | 0.0194603i | ||||
\(342\) | 1.08803e7 | − | 577680.i | 0.271997 | − | 0.0144414i | ||||
\(343\) | −2.70146e7 | −0.669447 | ||||||||
\(344\) | −4.23070e6 | − | 2.63612e7i | −0.103929 | − | 0.647575i | ||||
\(345\) | 6.17321e7i | 1.50333i | ||||||||
\(346\) | −4.64039e7 | + | 2.46377e6i | −1.12028 | + | 0.0594801i | ||||
\(347\) | 5.04931e7 | − | 5.04931e7i | 1.20849 | − | 1.20849i | 0.236975 | − | 0.971516i | \(-0.423844\pi\) |
0.971516 | − | 0.236975i | \(-0.0761560\pi\) | |||||||
\(348\) | −2.98768e6 | − | 2.80564e7i | −0.0708918 | − | 0.665724i | ||||
\(349\) | 8.31696e6 | − | 8.31696e6i | 0.195654 | − | 0.195654i | −0.602480 | − | 0.798134i | \(-0.705821\pi\) |
0.798134 | + | 0.602480i | \(0.205821\pi\) | |||||||
\(350\) | −5.42195e7 | + | 6.02997e7i | −1.26459 | + | 1.40641i | ||||
\(351\) | − | 1.66529e7i | − | 0.385095i | ||||||
\(352\) | 2.01072e6 | − | 546152.i | 0.0461025 | − | 0.0125223i | ||||
\(353\) | 2.48212e7 | 0.564284 | 0.282142 | − | 0.959373i | \(-0.408955\pi\) | ||||
0.282142 | + | 0.959373i | \(0.408955\pi\) | |||||||
\(354\) | 1.72634e7 | + | 1.55226e7i | 0.389149 | + | 0.349909i | ||||
\(355\) | −5.04288e7 | − | 5.04288e7i | −1.12718 | − | 1.12718i | ||||
\(356\) | −3.81243e7 | + | 4.05979e6i | −0.844991 | + | 0.0899815i | ||||
\(357\) | −3.40037e7 | − | 3.40037e7i | −0.747345 | − | 0.747345i | ||||
\(358\) | 670124. | + | 1.26215e7i | 0.0146051 | + | 0.275081i | ||||
\(359\) | 8.53598e7 | 1.84489 | 0.922444 | − | 0.386130i | \(-0.126188\pi\) | ||||
0.922444 | + | 0.386130i | \(0.126188\pi\) | |||||||
\(360\) | 9.62423e6 | + | 5.99679e7i | 0.206281 | + | 1.28532i | ||||
\(361\) | − | 4.17428e7i | − | 0.887279i | ||||||
\(362\) | 1.49624e6 | + | 2.81809e7i | 0.0315409 | + | 0.594059i | ||||
\(363\) | −4.54157e7 | + | 4.54157e7i | −0.949480 | + | 0.949480i | ||||
\(364\) | 6.83329e7 | + | 5.51802e7i | 1.41686 | + | 1.14414i | ||||
\(365\) | 4.84953e7 | − | 4.84953e7i | 0.997289 | − | 0.997289i | ||||
\(366\) | 7.42193e7 | + | 6.67355e7i | 1.51382 | + | 1.36117i | ||||
\(367\) | 5.07928e7i | 1.02755i | 0.857924 | + | 0.513777i | \(0.171754\pi\) | ||||
−0.857924 | + | 0.513777i | \(0.828246\pi\) | |||||||
\(368\) | 3.39151e7 | − | 7.30596e6i | 0.680533 | − | 0.146600i | ||||
\(369\) | −4.07385e7 | −0.810823 | ||||||||
\(370\) | −5.93506e7 | + | 6.60063e7i | −1.17171 | + | 1.30311i | ||||
\(371\) | −6.70992e6 | − | 6.70992e6i | −0.131400 | − | 0.131400i | ||||
\(372\) | −3.10520e7 | − | 2.50751e7i | −0.603199 | − | 0.487095i | ||||
\(373\) | 2.15606e7 | + | 2.15606e7i | 0.415466 | + | 0.415466i | 0.883638 | − | 0.468172i | \(-0.155087\pi\) |
−0.468172 | + | 0.883638i | \(0.655087\pi\) | |||||||
\(374\) | 1.63173e6 | − | 86635.3i | 0.0311914 | − | 0.00165607i | ||||
\(375\) | 6.54445e7 | 1.24102 | ||||||||
\(376\) | −2.59651e7 | − | 1.87835e7i | −0.488458 | − | 0.353356i | ||||
\(377\) | 4.04145e7i | 0.754247i | ||||||||
\(378\) | 1.64531e7 | − | 873561.i | 0.304630 | − | 0.0161740i | ||||
\(379\) | −9.50195e6 | + | 9.50195e6i | −0.174540 | + | 0.174540i | −0.788971 | − | 0.614431i | \(-0.789386\pi\) |
0.614431 | + | 0.788971i | \(0.289386\pi\) | |||||||
\(380\) | −2.93945e7 | + | 3.13017e6i | −0.535692 | + | 0.0570449i | ||||
\(381\) | −1.79737e7 | + | 1.79737e7i | −0.324985 | + | 0.324985i | ||||
\(382\) | 3.81047e7 | − | 4.23778e7i | 0.683578 | − | 0.760236i | ||||
\(383\) | 7.09053e7i | 1.26207i | 0.775755 | + | 0.631034i | \(0.217369\pi\) | ||||
−0.775755 | + | 0.631034i | \(0.782631\pi\) | |||||||
\(384\) | 7.10124e7 | − | 2.76501e7i | 1.25412 | − | 0.488319i | ||||
\(385\) | 5.25417e6 | 0.0920707 | ||||||||
\(386\) | 9.74199e6 | + | 8.75966e6i | 0.169389 | + | 0.152309i | ||||
\(387\) | −2.18073e7 | − | 2.18073e7i | −0.376244 | − | 0.376244i | ||||
\(388\) | 6.76122e6 | + | 6.34927e7i | 0.115752 | + | 1.08700i | ||||
\(389\) | −2.91857e7 | − | 2.91857e7i | −0.495816 | − | 0.495816i | 0.414316 | − | 0.910133i | \(-0.364021\pi\) |
−0.910133 | + | 0.414316i | \(0.864021\pi\) | |||||||
\(390\) | −1.02978e7 | − | 1.93955e8i | −0.173601 | − | 3.26969i | ||||
\(391\) | 2.72078e7 | 0.455159 | ||||||||
\(392\) | −1.56277e7 | + | 2.16028e7i | −0.259440 | + | 0.358635i | ||||
\(393\) | 9.52737e7i | 1.56962i | ||||||||
\(394\) | −4.81562e6 | − | 9.06999e7i | −0.0787342 | − | 1.48292i | ||||
\(395\) | −6.23669e7 | + | 6.23669e7i | −1.01196 | + | 1.01196i | ||||
\(396\) | 1.51208e6 | − | 1.87250e6i | 0.0243495 | − | 0.0301534i | ||||
\(397\) | −1.98612e7 | + | 1.98612e7i | −0.317420 | + | 0.317420i | −0.847775 | − | 0.530356i | \(-0.822058\pi\) |
0.530356 | + | 0.847775i | \(0.322058\pi\) | |||||||
\(398\) | −6.37085e7 | − | 5.72845e7i | −1.01053 | − | 0.908631i | ||||
\(399\) | − | 3.44741e7i | − | 0.542718i | ||||||
\(400\) | −2.12230e7 | − | 9.85194e7i | −0.331609 | − | 1.53937i | ||||
\(401\) | 3.50138e7 | 0.543007 | 0.271504 | − | 0.962437i | \(-0.412479\pi\) | ||||
0.271504 | + | 0.962437i | \(0.412479\pi\) | |||||||
\(402\) | −9.27875e7 | + | 1.03193e8i | −1.42827 | + | 1.58844i | ||||
\(403\) | 4.04248e7 | + | 4.04248e7i | 0.617636 | + | 0.617636i | ||||
\(404\) | 1.35746e7 | − | 1.68102e7i | 0.205865 | − | 0.254934i | ||||
\(405\) | −8.69120e7 | − | 8.69120e7i | −1.30832 | − | 1.30832i | ||||
\(406\) | −3.99296e7 | + | 2.12002e6i | −0.596647 | + | 0.0316784i | ||||
\(407\) | 3.51757e6 | 0.0521746 | ||||||||
\(408\) | 5.90086e7 | − | 9.47027e6i | 0.868831 | − | 0.139438i | ||||
\(409\) | − | 9.66336e7i | − | 1.41240i | −0.708011 | − | 0.706201i | \(-0.750408\pi\) | ||
0.708011 | − | 0.706201i | \(-0.249592\pi\) | |||||||
\(410\) | 1.10371e8 | − | 5.86004e6i | 1.60141 | − | 0.0850255i | ||||
\(411\) | 2.59051e7 | − | 2.59051e7i | 0.373130 | − | 0.373130i | ||||
\(412\) | −3.57000e6 | − | 3.35248e7i | −0.0510477 | − | 0.479375i | ||||
\(413\) | 2.32646e7 | − | 2.32646e7i | 0.330252 | − | 0.330252i | ||||
\(414\) | 2.67950e7 | − | 2.97998e7i | 0.377618 | − | 0.419964i | ||||
\(415\) | 1.94699e8i | 2.72407i | ||||||||
\(416\) | −1.05338e8 | + | 2.86120e7i | −1.46321 | + | 0.397437i | ||||
\(417\) | −8.03383e7 | −1.10794 | ||||||||
\(418\) | 871071. | + | 783237.i | 0.0119268 | + | 0.0107242i | ||||
\(419\) | −9.91922e7 | − | 9.91922e7i | −1.34845 | − | 1.34845i | −0.887344 | − | 0.461109i | \(-0.847452\pi\) |
−0.461109 | − | 0.887344i | \(-0.652548\pi\) | |||||||
\(420\) | 1.91088e8 | − | 2.03486e7i | 2.57920 | − | 0.274654i | ||||
\(421\) | 1.70314e7 | + | 1.70314e7i | 0.228246 | + | 0.228246i | 0.811960 | − | 0.583714i | \(-0.198401\pi\) |
−0.583714 | + | 0.811960i | \(0.698401\pi\) | |||||||
\(422\) | −359435. | − | 6.76978e6i | −0.00478281 | − | 0.0900819i | ||||
\(423\) | −3.70183e7 | −0.489097 | ||||||||
\(424\) | 1.16441e7 | − | 1.86876e6i | 0.152760 | − | 0.0245164i | ||||
\(425\) | − | 7.90356e7i | − | 1.02957i | ||||||
\(426\) | 5.48028e6 | + | 1.03218e8i | 0.0708882 | + | 1.33515i | ||||
\(427\) | 1.00020e8 | − | 1.00020e8i | 1.28470 | − | 1.28470i | ||||
\(428\) | 8.50887e7 | + | 6.87108e7i | 1.08528 | + | 0.876383i | ||||
\(429\) | −5.44246e6 | + | 5.44246e6i | −0.0689324 | + | 0.0689324i | ||||
\(430\) | 6.22186e7 | + | 5.59448e7i | 0.782555 | + | 0.703646i | ||||
\(431\) | 6.19323e7i | 0.773545i | 0.922175 | + | 0.386772i | \(0.126410\pi\) | ||||
−0.922175 | + | 0.386772i | \(0.873590\pi\) | |||||||
\(432\) | −1.11053e7 | + | 1.72035e7i | −0.137746 | + | 0.213386i | ||||
\(433\) | −6.84514e6 | −0.0843177 | −0.0421588 | − | 0.999111i | \(-0.513424\pi\) | ||||
−0.0421588 | + | 0.999111i | \(0.513424\pi\) | |||||||
\(434\) | −3.78192e7 | + | 4.20603e7i | −0.462640 | + | 0.514522i | ||||
\(435\) | 6.25255e7 | + | 6.25255e7i | 0.759608 | + | 0.759608i | ||||
\(436\) | −1.16758e8 | − | 9.42843e7i | −1.40873 | − | 1.13757i | ||||
\(437\) | 1.37921e7 | + | 1.37921e7i | 0.165267 | + | 0.165267i | ||||
\(438\) | −9.92611e7 | + | 5.27017e6i | −1.18129 | + | 0.0627194i | ||||
\(439\) | 1.48097e8 | 1.75046 | 0.875232 | − | 0.483703i | \(-0.160708\pi\) | ||||
0.875232 | + | 0.483703i | \(0.160708\pi\) | |||||||
\(440\) | −3.82728e6 | + | 5.29060e6i | −0.0449295 | + | 0.0621079i | ||||
\(441\) | 3.07990e7i | 0.359104i | ||||||||
\(442\) | −8.54837e7 | + | 4.53867e6i | −0.989957 | + | 0.0525608i | ||||
\(443\) | −1.10015e8 | + | 1.10015e8i | −1.26543 | + | 1.26543i | −0.317013 | + | 0.948421i | \(0.602680\pi\) |
−0.948421 | + | 0.317013i | \(0.897320\pi\) | |||||||
\(444\) | 1.27930e8 | − | 1.36230e7i | 1.46158 | − | 0.155641i | ||||
\(445\) | 8.49625e7 | − | 8.49625e7i | 0.964155 | − | 0.964155i | ||||
\(446\) | −2.56240e7 | + | 2.84975e7i | −0.288830 | + | 0.321220i | ||||
\(447\) | − | 1.01088e8i | − | 1.13182i | ||||||
\(448\) | −3.37944e7 | − | 1.02574e8i | −0.375847 | − | 1.14078i | ||||
\(449\) | −3.03044e7 | −0.334785 | −0.167393 | − | 0.985890i | \(-0.553535\pi\) | ||||
−0.167393 | + | 0.985890i | \(0.553535\pi\) | |||||||
\(450\) | −8.65650e7 | − | 7.78363e7i | −0.949959 | − | 0.854171i | ||||
\(451\) | −3.09706e6 | − | 3.09706e6i | −0.0337614 | − | 0.0337614i | ||||
\(452\) | 386993. | + | 3.63414e6i | 0.00419071 | + | 0.0393538i | ||||
\(453\) | 1.10978e7 | + | 1.10978e7i | 0.119383 | + | 0.119383i | ||||
\(454\) | 7.48899e6 | + | 1.41051e8i | 0.0800305 | + | 1.50734i | ||||
\(455\) | −2.75257e8 | −2.92216 | ||||||||
\(456\) | 3.47132e7 | + | 2.51119e7i | 0.366100 | + | 0.264841i | ||||
\(457\) | 1.61100e8i | 1.68790i | 0.536424 | + | 0.843949i | \(0.319775\pi\) | ||||
−0.536424 | + | 0.843949i | \(0.680225\pi\) | |||||||
\(458\) | 2.82467e6 | + | 5.32014e7i | 0.0294017 | + | 0.553766i | ||||
\(459\) | −1.13551e7 | + | 1.13551e7i | −0.117423 | + | 0.117423i | ||||
\(460\) | −6.83079e7 | + | 8.45897e7i | −0.701775 | + | 0.869049i | ||||
\(461\) | 1.62650e7 | − | 1.62650e7i | 0.166016 | − | 0.166016i | −0.619210 | − | 0.785226i | \(-0.712547\pi\) |
0.785226 | + | 0.619210i | \(0.212547\pi\) | |||||||
\(462\) | −5.66265e6 | − | 5.09166e6i | −0.0574241 | − | 0.0516338i | ||||
\(463\) | − | 1.68452e8i | − | 1.69720i | −0.529038 | − | 0.848598i | \(-0.677447\pi\) | ||
0.529038 | − | 0.848598i | \(-0.322553\pi\) | |||||||
\(464\) | 2.69511e7 | − | 4.17508e7i | 0.269788 | − | 0.417937i | ||||
\(465\) | 1.25083e8 | 1.24405 | ||||||||
\(466\) | 4.07883e7 | − | 4.53624e7i | 0.403068 | − | 0.448268i | ||||
\(467\) | 7.69239e7 | + | 7.69239e7i | 0.755284 | + | 0.755284i | 0.975460 | − | 0.220176i | \(-0.0706631\pi\) |
−0.220176 | + | 0.975460i | \(0.570663\pi\) | |||||||
\(468\) | −7.92155e7 | + | 9.80972e7i | −0.772810 | + | 0.957016i | ||||
\(469\) | 1.39066e8 | + | 1.39066e8i | 1.34804 | + | 1.34804i | ||||
\(470\) | 1.00292e8 | − | 5.32491e6i | 0.965992 | − | 0.0512884i | ||||
\(471\) | 2.18326e8 | 2.08950 | ||||||||
\(472\) | 6.47936e6 | + | 4.03725e7i | 0.0616178 | + | 0.383936i | ||||
\(473\) | − | 3.31571e6i | − | 0.0313324i | ||||||
\(474\) | 1.27654e8 | − | 6.77765e6i | 1.19867 | − | 0.0636420i | ||||
\(475\) | 4.00645e7 | − | 4.00645e7i | 0.373834 | − | 0.373834i | ||||
\(476\) | −8.96843e6 | − | 8.42200e7i | −0.0831564 | − | 0.780898i | ||||
\(477\) | 9.63262e6 | − | 9.63262e6i | 0.0887543 | − | 0.0887543i | ||||
\(478\) | 6.13276e7 | − | 6.82050e7i | 0.561529 | − | 0.624500i | ||||
\(479\) | − | 1.80538e8i | − | 1.64271i | −0.570416 | − | 0.821356i | \(-0.693218\pi\) | ||
0.570416 | − | 0.821356i | \(-0.306782\pi\) | |||||||
\(480\) | −1.18704e8 | + | 2.07235e8i | −1.07335 | + | 1.87387i | ||||
\(481\) | −1.84279e8 | −1.65593 | ||||||||
\(482\) | −1.13731e8 | − | 1.02263e8i | −1.01564 | − | 0.913225i | ||||
\(483\) | −8.96598e7 | − | 8.96598e7i | −0.795712 | − | 0.795712i | ||||
\(484\) | −1.12485e8 | + | 1.19783e7i | −0.992108 | + | 0.105648i | ||||
\(485\) | −1.41497e8 | − | 1.41497e8i | −1.24029 | − | 1.24029i | ||||
\(486\) | 7.89927e6 | + | 1.48779e8i | 0.0688142 | + | 1.29608i | ||||
\(487\) | −2.76822e7 | −0.239670 | −0.119835 | − | 0.992794i | \(-0.538237\pi\) | ||||
−0.119835 | + | 0.992794i | \(0.538237\pi\) | |||||||
\(488\) | 2.78563e7 | + | 1.73571e8i | 0.239698 | + | 1.49354i | ||||
\(489\) | − | 1.31353e8i | − | 1.12334i | ||||||
\(490\) | −4.43029e6 | − | 8.34424e7i | −0.0376569 | − | 0.709249i | ||||
\(491\) | −1.13442e8 | + | 1.13442e8i | −0.958361 | + | 0.958361i | −0.999167 | − | 0.0408060i | \(-0.987007\pi\) |
0.0408060 | + | 0.999167i | \(0.487007\pi\) | |||||||
\(492\) | −1.24631e8 | − | 1.00642e8i | −1.04648 | − | 0.845052i | ||||
\(493\) | 2.75575e7 | − | 2.75575e7i | 0.229985 | − | 0.229985i | ||||
\(494\) | −4.56339e7 | − | 4.10325e7i | −0.378536 | − | 0.340366i | ||||
\(495\) | 7.54277e6i | 0.0621892i | ||||||||
\(496\) | −1.48035e7 | − | 6.87193e7i | −0.121316 | − | 0.563163i | ||||
\(497\) | 1.46486e8 | 1.19323 | ||||||||
\(498\) | 1.88677e8 | − | 2.09836e8i | 1.52768 | − | 1.69899i | ||||
\(499\) | 2.96941e7 | + | 2.96941e7i | 0.238984 | + | 0.238984i | 0.816429 | − | 0.577445i | \(-0.195950\pi\) |
−0.577445 | + | 0.816429i | \(0.695950\pi\) | |||||||
\(500\) | 8.96766e7 | + | 7.24157e7i | 0.717413 | + | 0.579326i | ||||
\(501\) | 1.66214e7 | + | 1.66214e7i | 0.132176 | + | 0.132176i | ||||
\(502\) | 1.39853e8 | − | 7.42534e6i | 1.10550 | − | 0.0586956i | ||||
\(503\) | 1.52573e7 | 0.119888 | 0.0599438 | − | 0.998202i | \(-0.480908\pi\) | ||||
0.0599438 | + | 0.998202i | \(0.480908\pi\) | |||||||
\(504\) | −1.01076e8 | − | 7.31192e7i | −0.789505 | − | 0.571136i | ||||
\(505\) | 6.77143e7i | 0.525783i | ||||||||
\(506\) | 4.30250e6 | − | 228437.i | 0.0332101 | − | 0.00176325i | ||||
\(507\) | 1.61098e8 | − | 1.61098e8i | 1.23614 | − | 1.23614i | ||||
\(508\) | −4.45172e7 | + | 4.74055e6i | −0.339576 | + | 0.0361608i | ||||
\(509\) | −1.49274e8 | + | 1.49274e8i | −1.13196 | + | 1.13196i | −0.142104 | + | 0.989852i | \(0.545387\pi\) |
−0.989852 | + | 0.142104i | \(0.954613\pi\) | |||||||
\(510\) | −1.25230e8 | + | 1.39274e8i | −0.944060 | + | 1.04993i | ||||
\(511\) | 1.40869e8i | 1.05573i | ||||||||
\(512\) | 1.27902e8 | + | 4.06886e7i | 0.952942 | + | 0.303154i | ||||
\(513\) | −1.15122e7 | −0.0852722 | ||||||||
\(514\) | 1.53786e8 | + | 1.38279e8i | 1.13247 | + | 1.01828i | ||||
\(515\) | 7.47122e7 | + | 7.47122e7i | 0.546978 | + | 0.546978i | ||||
\(516\) | −1.28413e7 | − | 1.20589e8i | −0.0934670 | − | 0.877722i | ||||
\(517\) | −2.81424e6 | − | 2.81424e6i | −0.0203652 | − | 0.0203652i | ||||
\(518\) | −9.66674e6 | − | 1.82068e8i | −0.0695490 | − | 1.30992i | ||||
\(519\) | −2.11073e8 | −1.50984 | ||||||||
\(520\) | 2.00504e8 | − | 2.77165e8i | 1.42598 | − | 1.97119i | ||||
\(521\) | − | 1.15110e8i | − | 0.813955i | −0.913438 | − | 0.406977i | \(-0.866583\pi\) | ||
0.913438 | − | 0.406977i | \(-0.133417\pi\) | |||||||
\(522\) | −3.04346e6 | − | 5.73221e7i | −0.0213972 | − | 0.403005i | ||||
\(523\) | 1.70829e8 | − | 1.70829e8i | 1.19414 | − | 1.19414i | 0.218250 | − | 0.975893i | \(-0.429965\pi\) |
0.975893 | − | 0.218250i | \(-0.0700348\pi\) | |||||||
\(524\) | −1.05422e8 | + | 1.30551e8i | −0.732722 | + | 0.907372i | ||||
\(525\) | −2.60451e8 | + | 2.60451e8i | −1.79990 | + | 1.79990i | ||||
\(526\) | 2.72981e7 | + | 2.45455e7i | 0.187575 | + | 0.168661i | ||||
\(527\) | − | 5.51290e7i | − | 0.376659i | ||||||
\(528\) | 9.25180e6 | − | 1.99302e6i | 0.0628528 | − | 0.0135397i | ||||
\(529\) | −7.62952e7 | −0.515383 | ||||||||
\(530\) | −2.47117e7 | + | 2.74829e7i | −0.165987 | + | 0.184601i | ||||
\(531\) | 3.33981e7 | + | 3.33981e7i | 0.223069 | + | 0.223069i | ||||
\(532\) | 3.81463e7 | − | 4.72389e7i | 0.253348 | − | 0.313736i | ||||
\(533\) | 1.62250e8 | + | 1.62250e8i | 1.07152 | + | 1.07152i | ||||
\(534\) | −1.73903e8 | + | 9.23319e6i | −1.14204 | + | 0.0606356i | ||||
\(535\) | −3.42752e8 | −2.23830 | ||||||||
\(536\) | −2.41329e8 | + | 3.87308e7i | −1.56717 | + | 0.251514i | ||||
\(537\) | 5.74100e7i | 0.370736i | ||||||||
\(538\) | −1.62498e8 | + | 8.62768e6i | −1.04352 | + | 0.0554048i | ||||
\(539\) | −2.34143e6 | + | 2.34143e6i | −0.0149525 | + | 0.0149525i | ||||
\(540\) | −6.79517e6 | − | 6.38115e7i | −0.0431538 | − | 0.405245i | ||||
\(541\) | −6.73179e7 | + | 6.73179e7i | −0.425147 | + | 0.425147i | −0.886971 | − | 0.461825i | \(-0.847195\pi\) |
0.461825 | + | 0.886971i | \(0.347195\pi\) | |||||||
\(542\) | 8.34558e7 | − | 9.28147e7i | 0.524154 | − | 0.582934i | ||||
\(543\) | 1.28184e8i | 0.800633i | ||||||||
\(544\) | 9.13369e7 | + | 5.23175e7i | 0.567348 | + | 0.324975i | ||||
\(545\) | 4.70321e8 | 2.90539 | ||||||||
\(546\) | 2.96657e8 | + | 2.66744e8i | 1.82254 | + | 1.63876i | ||||
\(547\) | −6.44257e7 | − | 6.44257e7i | −0.393638 | − | 0.393638i | 0.482344 | − | 0.875982i | \(-0.339786\pi\) |
−0.875982 | + | 0.482344i | \(0.839786\pi\) | |||||||
\(548\) | 6.41615e7 | − | 6.83244e6i | 0.389882 | − | 0.0415178i | ||||
\(549\) | 1.43587e8 | + | 1.43587e8i | 0.867754 | + | 0.867754i | ||||
\(550\) | −663583. | − | 1.24983e7i | −0.00398848 | − | 0.0751211i | ||||
\(551\) | 2.79388e7 | 0.167014 | ||||||||
\(552\) | 1.55592e8 | − | 2.49709e7i | 0.925061 | − | 0.148463i | ||||
\(553\) | − | 1.81163e8i | − | 1.07126i | ||||||
\(554\) | −8.99574e6 | − | 1.69430e8i | −0.0529063 | − | 0.996465i | ||||
\(555\) | −2.85100e8 | + | 2.85100e8i | −1.66770 | + | 1.66770i | ||||
\(556\) | −1.10085e8 | − | 8.88960e7i | −0.640479 | − | 0.517199i | ||||
\(557\) | −2.81484e7 | + | 2.81484e7i | −0.162888 | + | 0.162888i | −0.783845 | − | 0.620957i | \(-0.786744\pi\) |
0.620957 | + | 0.783845i | \(0.286744\pi\) | |||||||
\(558\) | −6.03809e7 | − | 5.42924e7i | −0.347534 | − | 0.312491i | ||||
\(559\) | 1.73705e8i | 0.994434i | ||||||||
\(560\) | 2.84358e8 | + | 1.83560e8i | 1.61920 | + | 1.04523i | ||||
\(561\) | 7.42211e6 | 0.0420377 | ||||||||
\(562\) | 2.76146e7 | − | 3.07114e7i | 0.155572 | − | 0.173018i | ||||
\(563\) | −3.25814e7 | − | 3.25814e7i | −0.182576 | − | 0.182576i | 0.609901 | − | 0.792477i | \(-0.291209\pi\) |
−0.792477 | + | 0.609901i | \(0.791209\pi\) | |||||||
\(564\) | −1.13250e8 | − | 9.14514e7i | −0.631247 | − | 0.509745i | ||||
\(565\) | −8.09892e6 | − | 8.09892e6i | −0.0449036 | − | 0.0449036i | ||||
\(566\) | 8.75134e7 | − | 4.64644e6i | 0.482642 | − | 0.0256254i | ||||
\(567\) | 2.52462e8 | 1.38499 | ||||||||
\(568\) | −1.06704e8 | + | 1.47501e8i | −0.582285 | + | 0.804917i | ||||
\(569\) | 6.00764e7i | 0.326112i | 0.986617 | + | 0.163056i | \(0.0521351\pi\) | ||||
−0.986617 | + | 0.163056i | \(0.947865\pi\) | |||||||
\(570\) | −1.34082e8 | + | 7.11895e6i | −0.724012 | + | 0.0384407i | ||||
\(571\) | 1.53517e8 | − | 1.53517e8i | 0.824610 | − | 0.824610i | −0.162155 | − | 0.986765i | \(-0.551845\pi\) |
0.986765 | + | 0.162155i | \(0.0518446\pi\) | |||||||
\(572\) | −1.34798e7 | + | 1.43544e6i | −0.0720272 | + | 0.00767004i | ||||
\(573\) | 1.83042e8 | − | 1.83042e8i | 0.972939 | − | 0.972939i | ||||
\(574\) | −1.51792e8 | + | 1.68814e8i | −0.802625 | + | 0.892633i | ||||
\(575\) | − | 2.08399e8i | − | 1.09620i | ||||||
\(576\) | 1.47252e8 | − | 4.85146e7i | 0.770540 | − | 0.253866i | ||||
\(577\) | −3.34357e8 | −1.74054 | −0.870269 | − | 0.492577i | \(-0.836055\pi\) | ||||
−0.870269 | + | 0.492577i | \(0.836055\pi\) | |||||||
\(578\) | −8.22064e7 | − | 7.39172e7i | −0.425718 | − | 0.382791i | ||||
\(579\) | 4.20783e7 | + | 4.20783e7i | 0.216782 | + | 0.216782i | ||||
\(580\) | 1.64910e7 | + | 1.54863e8i | 0.0845209 | + | 0.793712i | ||||
\(581\) | −2.82781e8 | − | 2.82781e8i | −1.44185 | − | 1.44185i | ||||
\(582\) | 1.53771e7 | + | 2.89620e8i | 0.0780017 | + | 1.46913i | ||||
\(583\) | 1.46460e6 | 0.00739118 | ||||||||
\(584\) | −1.41846e8 | − | 1.02613e8i | −0.712162 | − | 0.515185i | ||||
\(585\) | − | 3.95153e8i | − | 1.97377i | ||||||
\(586\) | 1.16583e7 | + | 2.19578e8i | 0.0579351 | + | 1.09118i | ||||
\(587\) | 8.00181e7 | − | 8.00181e7i | 0.395616 | − | 0.395616i | −0.481068 | − | 0.876684i | \(-0.659751\pi\) |
0.876684 | + | 0.481068i | \(0.159751\pi\) | |||||||
\(588\) | −7.60870e7 | + | 9.42230e7i | −0.374264 | + | 0.463474i | ||||
\(589\) | 2.79459e7 | − | 2.79459e7i | 0.136764 | − | 0.136764i | ||||
\(590\) | −9.52884e7 | − | 8.56800e7i | −0.463964 | − | 0.417180i | ||||
\(591\) | − | 4.12558e8i | − | 1.99858i | ||||||
\(592\) | 1.90373e8 | + | 1.22890e8i | 0.917570 | + | 0.592312i | ||||
\(593\) | 5.20669e7 | 0.249688 | 0.124844 | − | 0.992176i | \(-0.460157\pi\) | ||||
0.124844 | + | 0.992176i | \(0.460157\pi\) | |||||||
\(594\) | −1.70030e6 | + | 1.89098e6i | −0.00811273 | + | 0.00902250i | ||||
\(595\) | 1.87690e8 | + | 1.87690e8i | 0.891024 | + | 0.891024i | ||||
\(596\) | 1.11856e8 | − | 1.38518e8i | 0.528349 | − | 0.654286i | ||||
\(597\) | −2.75175e8 | − | 2.75175e8i | −1.29326 | − | 1.29326i | ||||
\(598\) | −2.25401e8 | + | 1.19674e7i | −1.05403 | + | 0.0559625i | ||||
\(599\) | 4.82128e6 | 0.0224327 | 0.0112164 | − | 0.999937i | \(-0.496430\pi\) | ||||
0.0112164 | + | 0.999937i | \(0.496430\pi\) | |||||||
\(600\) | −7.25376e7 | − | 4.51977e8i | −0.335822 | − | 2.09249i | ||||
\(601\) | 4.87391e7i | 0.224519i | 0.993679 | + | 0.112260i | \(0.0358088\pi\) | ||||
−0.993679 | + | 0.112260i | \(0.964191\pi\) | |||||||
\(602\) | −1.71621e8 | + | 9.11202e6i | −0.786647 | + | 0.0417662i | ||||
\(603\) | −1.99640e8 | + | 1.99640e8i | −0.910532 | + | 0.910532i | ||||
\(604\) | 2.92705e6 | + | 2.74870e7i | 0.0132837 | + | 0.124743i | ||||
\(605\) | 2.50680e8 | − | 2.50680e8i | 1.13202 | − | 1.13202i | ||||
\(606\) | 6.56201e7 | − | 7.29788e7i | 0.294862 | − | 0.327928i | ||||
\(607\) | 3.50813e8i | 1.56859i | 0.620387 | + | 0.784296i | \(0.286976\pi\) | ||||
−0.620387 | + | 0.784296i | \(0.713024\pi\) | |||||||
\(608\) | 1.97796e7 | + | 7.28209e7i | 0.0880049 | + | 0.324000i | ||||
\(609\) | −1.81624e8 | −0.804121 | ||||||||
\(610\) | −4.09667e8 | − | 3.68359e8i | −1.80485 | − | 1.62286i | ||||
\(611\) | 1.47433e8 | + | 1.47433e8i | 0.646356 | + | 0.646356i | ||||
\(612\) | 1.20904e8 | − | 1.28749e7i | 0.527458 | − | 0.0561681i | ||||
\(613\) | 1.59265e7 | + | 1.59265e7i | 0.0691413 | + | 0.0691413i | 0.740832 | − | 0.671691i | \(-0.234432\pi\) |
−0.671691 | + | 0.740832i | \(0.734432\pi\) | |||||||
\(614\) | 7.23512e6 | + | 1.36270e8i | 0.0312565 | + | 0.588702i | ||||
\(615\) | 5.02034e8 | 2.15828 | ||||||||
\(616\) | −2.12533e6 | − | 1.32428e7i | −0.00909253 | − | 0.0566550i | ||||
\(617\) | 3.70913e8i | 1.57912i | 0.613671 | + | 0.789562i | \(0.289692\pi\) | ||||
−0.613671 | + | 0.789562i | \(0.710308\pi\) | |||||||
\(618\) | −8.11926e6 | − | 1.52922e8i | −0.0343994 | − | 0.647896i | ||||
\(619\) | −1.41681e7 | + | 1.41681e7i | −0.0597363 | + | 0.0597363i | −0.736344 | − | 0.676608i | \(-0.763449\pi\) |
0.676608 | + | 0.736344i | \(0.263449\pi\) | |||||||
\(620\) | 1.71397e8 | + | 1.38407e8i | 0.719165 | + | 0.580741i | ||||
\(621\) | −2.99408e7 | + | 2.99408e7i | −0.125023 | + | 0.125023i | ||||
\(622\) | 1.70289e8 | + | 1.53118e8i | 0.707643 | + | 0.636289i | ||||
\(623\) | 2.46799e8i | 1.02066i | ||||||||
\(624\) | −4.84686e8 | + | 1.04411e8i | −1.99483 | + | 0.429725i | ||||
\(625\) | 2.32097e7 | 0.0950670 | ||||||||
\(626\) | 2.33300e8 | − | 2.59462e8i | 0.951023 | − | 1.05767i | ||||
\(627\) | 3.76240e6 | + | 3.76240e6i | 0.0152638 | + | 0.0152638i | ||||
\(628\) | 2.99166e8 | + | 2.41583e8i | 1.20791 | + | 0.975410i | ||||
\(629\) | 1.25655e8 | + | 1.25655e8i | 0.504925 | + | 0.504925i | ||||
\(630\) | 3.90412e8 | − | 2.07285e7i | 1.56135 | − | 0.0828985i | ||||
\(631\) | −1.53432e8 | −0.610699 | −0.305350 | − | 0.952240i | \(-0.598773\pi\) | ||||
−0.305350 | + | 0.952240i | \(0.598773\pi\) | |||||||
\(632\) | 1.82420e8 | + | 1.31964e8i | 0.722638 | + | 0.522764i | ||||
\(633\) | − | 3.07931e7i | − | 0.121406i | ||||||
\(634\) | −2.02514e8 | + | 1.07523e7i | −0.794669 | + | 0.0421922i | ||||
\(635\) | 9.92094e7 | − | 9.92094e7i | 0.387464 | − | 0.387464i | ||||
\(636\) | 5.32658e7 | − | 5.67217e6i | 0.207051 | − | 0.0220485i | ||||
\(637\) | 1.22664e8 | − | 1.22664e8i | 0.474567 | − | 0.474567i | ||||
\(638\) | 4.12643e6 | − | 4.58917e6i | 0.0158896 | − | 0.0176715i | ||||
\(639\) | 2.10291e8i | 0.805970i | ||||||||
\(640\) | −3.91966e8 | + | 1.52620e8i | −1.49523 | + | 0.582199i | ||||
\(641\) | −9.63888e7 | −0.365976 | −0.182988 | − | 0.983115i | \(-0.558577\pi\) | ||||
−0.182988 | + | 0.983115i | \(0.558577\pi\) | |||||||
\(642\) | 3.69399e8 | + | 3.32151e8i | 1.39602 | + | 1.25525i | ||||
\(643\) | −2.96341e8 | − | 2.96341e8i | −1.11470 | − | 1.11470i | −0.992506 | − | 0.122198i | \(-0.961006\pi\) |
−0.122198 | − | 0.992506i | \(-0.538994\pi\) | |||||||
\(644\) | −2.36477e7 | − | 2.22069e8i | −0.0885382 | − | 0.831437i | ||||
\(645\) | 2.68739e8 | + | 2.68739e8i | 1.00150 | + | 1.00150i | ||||
\(646\) | 3.13761e6 | + | 5.90953e7i | 0.0116386 | + | 0.219208i | ||||
\(647\) | −2.51144e8 | −0.927279 | −0.463640 | − | 0.886024i | \(-0.653457\pi\) | ||||
−0.463640 | + | 0.886024i | \(0.653457\pi\) | |||||||
\(648\) | −1.83900e8 | + | 2.54213e8i | −0.675860 | + | 0.934269i | ||||
\(649\) | 5.07805e6i | 0.0185765i | ||||||||
\(650\) | 3.47640e7 | + | 6.54763e8i | 0.126587 | + | 2.38421i | ||||
\(651\) | −1.81670e8 | + | 1.81670e8i | −0.658477 | + | 0.658477i | ||||
\(652\) | 1.45344e8 | − | 1.79989e8i | 0.524391 | − | 0.649385i | ||||
\(653\) | 1.19499e8 | − | 1.19499e8i | 0.429165 | − | 0.429165i | −0.459179 | − | 0.888344i | \(-0.651856\pi\) |
0.888344 | + | 0.459179i | \(0.151856\pi\) | |||||||
\(654\) | −5.06886e8 | − | 4.55775e8i | −1.81208 | − | 1.62936i | ||||
\(655\) | − | 5.25881e8i | − | 1.87139i | ||||||
\(656\) | −5.94155e7 | − | 2.75813e8i | −0.210469 | − | 0.977020i | ||||
\(657\) | −2.02229e8 | −0.713094 | ||||||||
\(658\) | −1.37930e8 | + | 1.53398e8i | −0.484153 | + | 0.538447i | ||||
\(659\) | −1.46053e8 | − | 1.46053e8i | −0.510333 | − | 0.510333i | 0.404295 | − | 0.914629i | \(-0.367517\pi\) |
−0.914629 | + | 0.404295i | \(0.867517\pi\) | |||||||
\(660\) | −1.86339e7 | + | 2.30755e7i | −0.0648146 | + | 0.0802637i | ||||
\(661\) | −1.39338e8 | − | 1.39338e8i | −0.482464 | − | 0.482464i | 0.423454 | − | 0.905918i | \(-0.360818\pi\) |
−0.905918 | + | 0.423454i | \(0.860818\pi\) | |||||||
\(662\) | −1.69091e8 | + | 8.97774e6i | −0.582838 | + | 0.0309452i | ||||
\(663\) | −3.88832e8 | −1.33420 | ||||||||
\(664\) | 4.90727e8 | − | 7.87565e7i | 1.67624 | − | 0.269019i | ||||
\(665\) | 1.90286e8i | 0.647057i | ||||||||
\(666\) | 2.61374e8 | − | 1.38774e7i | 0.884787 | − | 0.0469769i | ||||
\(667\) | 7.26627e7 | − | 7.26627e7i | 0.244869 | − | 0.244869i | ||||
\(668\) | 4.38387e6 | + | 4.11677e7i | 0.0147071 | + | 0.138111i | ||||
\(669\) | −1.23089e8 | + | 1.23089e8i | −0.411092 | + | 0.411092i | ||||
\(670\) | 5.12158e8 | − | 5.69593e8i | 1.70286 | − | 1.89383i | ||||
\(671\) | 2.18318e7i | 0.0722638i | ||||||||
\(672\) | −1.28583e8 | − | 4.73394e8i | −0.423717 | − | 1.55996i | ||||
\(673\) | 1.12659e8 | 0.369590 | 0.184795 | − | 0.982777i | \(-0.440838\pi\) | ||||
0.184795 | + | 0.982777i | \(0.440838\pi\) | |||||||
\(674\) | −1.14505e8 | − | 1.02959e8i | −0.373976 | − | 0.336266i | ||||
\(675\) | 8.69747e7 | + | 8.69747e7i | 0.282801 | + | 0.282801i | ||||
\(676\) | 3.99006e8 | − | 4.24894e7i | 1.29163 | − | 0.137544i | ||||
\(677\) | 2.59382e8 | + | 2.59382e8i | 0.835938 | + | 0.835938i | 0.988321 | − | 0.152384i | \(-0.0486949\pi\) |
−0.152384 | + | 0.988321i | \(0.548695\pi\) | |||||||
\(678\) | 880139. | + | 1.65770e7i | 0.00282398 | + | 0.0531884i | ||||
\(679\) | 4.11022e8 | 1.31297 | ||||||||
\(680\) | −3.25709e8 | + | 5.22730e7i | −1.03587 | + | 0.166246i | ||||
\(681\) | 6.41587e8i | 2.03149i | ||||||||
\(682\) | −462863. | − | 8.71781e6i | −0.00145915 | − | 0.0274824i | ||||
\(683\) | −1.80845e8 | + | 1.80845e8i | −0.567604 | + | 0.567604i | −0.931456 | − | 0.363853i | \(-0.881461\pi\) |
0.363853 | + | 0.931456i | \(0.381461\pi\) | |||||||
\(684\) | 6.78151e7 | + | 5.47621e7i | 0.211913 | + | 0.171124i | ||||
\(685\) | −1.42988e8 | + | 1.42988e8i | −0.444865 | + | 0.444865i | ||||
\(686\) | −1.60705e8 | − | 1.44500e8i | −0.497802 | − | 0.447607i | ||||
\(687\) | 2.41992e8i | 0.746330i | ||||||||
\(688\) | 1.15838e8 | − | 1.79448e8i | 0.355701 | − | 0.551028i | ||||
\(689\) | −7.67279e7 | −0.234583 | ||||||||
\(690\) | −3.30204e8 | + | 3.67233e8i | −1.00516 | + | 1.11788i | ||||
\(691\) | −3.89481e8 | − | 3.89481e8i | −1.18046 | − | 1.18046i | −0.979625 | − | 0.200838i | \(-0.935634\pi\) |
−0.200838 | − | 0.979625i | \(-0.564366\pi\) | |||||||
\(692\) | −2.89227e8 | − | 2.33557e8i | −0.872812 | − | 0.704814i | ||||
\(693\) | −1.09551e7 | − | 1.09551e7i | −0.0329168 | − | 0.0329168i | ||||
\(694\) | 5.70460e8 | − | 3.02880e7i | 1.70666 | − | 0.0906134i | ||||
\(695\) | 4.43442e8 | 1.32094 | ||||||||
\(696\) | 1.32300e8 | − | 1.82884e8i | 0.392403 | − | 0.542434i | ||||
\(697\) | − | 2.21267e8i | − | 0.653458i | ||||||
\(698\) | 9.39633e7 | − | 4.98889e6i | 0.276307 | − | 0.0146703i | ||||
\(699\) | 1.95933e8 | − | 1.95933e8i | 0.573687 | − | 0.573687i | ||||
\(700\) | −6.45084e8 | + | 6.86938e7i | −1.88071 | + | 0.200273i | ||||
\(701\) | −1.36109e8 | + | 1.36109e8i | −0.395122 | + | 0.395122i | −0.876509 | − | 0.481386i | \(-0.840133\pi\) |
0.481386 | + | 0.876509i | \(0.340133\pi\) | |||||||
\(702\) | 8.90759e7 | − | 9.90651e7i | 0.257483 | − | 0.286358i | ||||
\(703\) | 1.27393e8i | 0.366674i | ||||||||
\(704\) | 1.48828e7 | + | 7.50635e6i | 0.0426546 | + | 0.0215135i | ||||
\(705\) | 4.56189e8 | 1.30190 | ||||||||
\(706\) | 1.47657e8 | + | 1.32768e8i | 0.419603 | + | 0.377293i | ||||
\(707\) | −9.83483e7 | − | 9.83483e7i | −0.278297 | − | 0.278297i | ||||
\(708\) | 1.96665e7 | + | 1.84683e8i | 0.0554150 | + | 0.520387i | ||||
\(709\) | −3.01255e8 | − | 3.01255e8i | −0.845270 | − | 0.845270i | 0.144268 | − | 0.989539i | \(-0.453917\pi\) |
−0.989539 | + | 0.144268i | \(0.953917\pi\) | |||||||
\(710\) | −3.02495e7 | − | 5.69734e8i | −0.0845167 | − | 1.59183i | ||||
\(711\) | 2.60074e8 | 0.723584 | ||||||||
\(712\) | −2.48510e8 | − | 1.79775e8i | −0.688501 | − | 0.498069i | ||||
\(713\) | − | 1.45362e8i | − | 0.401036i | ||||||
\(714\) | −2.03969e7 | − | 3.84166e8i | −0.0560364 | − | 1.05542i | ||||
\(715\) | 3.00407e7 | − | 3.00407e7i | 0.0821848 | − | 0.0821848i | ||||
\(716\) | −6.35254e7 | + | 7.86672e7i | −0.173065 | + | 0.214316i | ||||
\(717\) | 2.94596e8 | − | 2.94596e8i | 0.799226 | − | 0.799226i | ||||
\(718\) | 5.07790e8 | + | 4.56588e8i | 1.37186 | + | 1.23353i | ||||
\(719\) | 3.57293e8i | 0.961253i | 0.876925 | + | 0.480626i | \(0.159591\pi\) | ||||
−0.876925 | + | 0.480626i | \(0.840409\pi\) | |||||||
\(720\) | −2.63514e8 | + | 4.08218e8i | −0.706003 | + | 1.09369i | ||||
\(721\) | −2.17024e8 | −0.579031 | ||||||||
\(722\) | 2.23281e8 | − | 2.48321e8i | 0.593254 | − | 0.659783i | ||||
\(723\) | −4.91236e8 | − | 4.91236e8i | −1.29980 | − | 1.29980i | ||||
\(724\) | −1.41838e8 | + | 1.75646e8i | −0.373747 | + | 0.462832i | ||||
\(725\) | −2.11077e8 | − | 2.11077e8i | −0.553894 | − | 0.553894i | ||||
\(726\) | −5.13097e8 | + | 2.72424e7i | −1.34088 | + | 0.0711926i | ||||
\(727\) | 7.94049e7 | 0.206654 | 0.103327 | − | 0.994647i | \(-0.467051\pi\) | ||||
0.103327 | + | 0.994647i | \(0.467051\pi\) | |||||||
\(728\) | 1.11342e8 | + | 6.93768e8i | 0.288580 | + | 1.79813i | ||||
\(729\) | 2.30001e8i | 0.593672i | ||||||||
\(730\) | 5.47890e8 | − | 2.90897e7i | 1.40840 | − | 0.0747774i | ||||
\(731\) | 1.18444e8 | − | 1.18444e8i | 0.303223 | − | 0.303223i | ||||
\(732\) | 8.45510e7 | + | 7.93994e8i | 0.215569 | + | 2.02434i | ||||
\(733\) | −2.46020e8 | + | 2.46020e8i | −0.624680 | + | 0.624680i | −0.946725 | − | 0.322044i | \(-0.895630\pi\) |
0.322044 | + | 0.946725i | \(0.395630\pi\) | |||||||
\(734\) | −2.71690e8 | + | 3.02157e8i | −0.687045 | + | 0.764091i | ||||
\(735\) | − | 3.79547e8i | − | 0.955879i | ||||||
\(736\) | 2.40834e8 | + | 1.37949e8i | 0.604066 | + | 0.346007i | ||||
\(737\) | −3.03544e7 | −0.0758262 | ||||||||
\(738\) | −2.42346e8 | − | 2.17909e8i | −0.602930 | − | 0.542134i | ||||
\(739\) | 2.05535e8 | + | 2.05535e8i | 0.509276 | + | 0.509276i | 0.914304 | − | 0.405028i | \(-0.132738\pi\) |
−0.405028 | + | 0.914304i | \(0.632738\pi\) | |||||||
\(740\) | −7.06132e8 | + | 7.51948e7i | −1.74257 | + | 0.185563i | ||||
\(741\) | −1.97106e8 | − | 1.97106e8i | −0.484445 | − | 0.484445i | ||||
\(742\) | −4.02491e6 | − | 7.58073e7i | −0.00985247 | − | 0.185566i | ||||
\(743\) | −1.49313e8 | −0.364024 | −0.182012 | − | 0.983296i | \(-0.558261\pi\) | ||||
−0.182012 | + | 0.983296i | \(0.558261\pi\) | |||||||
\(744\) | −5.05965e7 | − | 3.15264e8i | −0.122858 | − | 0.765517i | ||||
\(745\) | 5.57975e8i | 1.34942i | ||||||||
\(746\) | 1.29330e7 | + | 2.43588e8i | 0.0311519 | + | 0.586731i | ||||
\(747\) | 4.05954e8 | − | 4.05954e8i | 0.973901 | − | 0.973901i | ||||
\(748\) | 1.01703e7 | + | 8.21272e6i | 0.0243013 | + | 0.0196238i | ||||
\(749\) | 4.97813e8 | − | 4.97813e8i | 1.18473 | − | 1.18473i | ||||
\(750\) | 3.89317e8 | + | 3.50061e8i | 0.922827 | + | 0.829774i | ||||
\(751\) | − | 2.61119e8i | − | 0.616478i | −0.951309 | − | 0.308239i | \(-0.900260\pi\) | ||
0.951309 | − | 0.308239i | \(-0.0997397\pi\) | |||||||
\(752\) | −5.39897e7 | − | 2.50626e8i | −0.126957 | − | 0.589350i | ||||
\(753\) | 6.36135e8 | 1.48992 | ||||||||
\(754\) | −2.16176e8 | + | 2.40419e8i | −0.504306 | + | 0.560860i | ||||
\(755\) | −6.12566e7 | − | 6.12566e7i | −0.142335 | − | 0.142335i | ||||
\(756\) | 1.02549e8 | + | 8.28105e7i | 0.237338 | + | 0.191655i | ||||
\(757\) | 4.05024e8 | + | 4.05024e8i | 0.933670 | + | 0.933670i | 0.997933 | − | 0.0642632i | \(-0.0204697\pi\) |
−0.0642632 | + | 0.997933i | \(0.520470\pi\) | |||||||
\(758\) | −1.07351e8 | + | 5.69970e6i | −0.246490 | + | 0.0130871i | ||||
\(759\) | 1.95704e7 | 0.0447583 | ||||||||
\(760\) | −1.91606e8 | − | 1.38610e8i | −0.436484 | − | 0.315757i | ||||
\(761\) | − | 1.35070e8i | − | 0.306481i | −0.988189 | − | 0.153240i | \(-0.951029\pi\) | ||
0.988189 | − | 0.153240i | \(-0.0489709\pi\) | |||||||
\(762\) | −2.03063e8 | + | 1.07815e7i | −0.458952 | + | 0.0243676i | ||||
\(763\) | −6.83094e8 | + | 6.83094e8i | −1.53782 | + | 1.53782i | ||||
\(764\) | 4.53356e8 | − | 4.82770e7i | 1.01662 | − | 0.108258i | ||||
\(765\) | −2.69443e8 | + | 2.69443e8i | −0.601843 | + | 0.601843i | ||||
\(766\) | −3.79271e8 | + | 4.21803e8i | −0.843846 | + | 0.938477i | ||||
\(767\) | − | 2.66030e8i | − | 0.589583i | ||||||
\(768\) | 5.70340e8 | + | 2.15358e8i | 1.25907 | + | 0.475420i | ||||
\(769\) | 3.00152e8 | 0.660028 | 0.330014 | − | 0.943976i | \(-0.392946\pi\) | ||||
0.330014 | + | 0.943976i | \(0.392946\pi\) | |||||||
\(770\) | 3.12561e7 | + | 2.81044e7i | 0.0684640 | + | 0.0615605i | ||||
\(771\) | 6.64243e8 | + | 6.64243e8i | 1.44932 | + | 1.44932i | ||||
\(772\) | 1.10981e7 | + | 1.04219e8i | 0.0241211 | + | 0.226515i | ||||
\(773\) | 3.89585e7 | + | 3.89585e7i | 0.0843458 | + | 0.0843458i | 0.748021 | − | 0.663675i | \(-0.231004\pi\) |
−0.663675 | + | 0.748021i | \(0.731004\pi\) | |||||||
\(774\) | −1.30810e7 | − | 2.46375e8i | −0.0282110 | − | 0.531341i | ||||
\(775\) | −4.22261e8 | −0.907143 | ||||||||
\(776\) | −2.99399e8 | + | 4.13872e8i | −0.640716 | + | 0.885689i | ||||
\(777\) | − | 8.28157e8i | − | 1.76543i | ||||||
\(778\) | −1.75069e7 | − | 3.29734e8i | −0.0371766 | − | 0.700204i | ||||
\(779\) | 1.12164e8 | − | 1.12164e8i | 0.237269 | − | 0.237269i | ||||
\(780\) | 9.76200e8 | − | 1.20889e9i | 2.05710 | − | 2.54742i | ||||
\(781\) | −1.59870e7 | + | 1.59870e7i | −0.0335593 | + | 0.0335593i | ||||
\(782\) | 1.61854e8 | + | 1.45534e8i | 0.338458 | + | 0.304330i | ||||
\(783\) | 6.06513e7i | 0.126344i | ||||||||
\(784\) | −2.08520e8 | + | 4.49191e7i | −0.432712 | + | 0.0932144i | ||||
\(785\) | −1.20509e9 | −2.49122 | ||||||||
\(786\) | −5.09617e8 | + | 5.66766e8i | −1.04948 | + | 1.16718i | ||||
\(787\) | 4.96033e8 | + | 4.96033e8i | 1.01762 | + | 1.01762i | 0.999842 | + | 0.0177796i | \(0.00565973\pi\) |
0.0177796 | + | 0.999842i | \(0.494340\pi\) | |||||||
\(788\) | 4.56504e8 | − | 5.65316e8i | 0.932967 | − | 1.15535i | ||||
\(789\) | 1.17908e8 | + | 1.17908e8i | 0.240056 | + | 0.240056i | ||||
\(790\) | −7.04609e8 | + | 3.74105e7i | −1.42911 | + | 0.0758774i | ||||
\(791\) | 2.35257e7 | 0.0475350 | ||||||||
\(792\) | 1.90111e7 | − | 3.05108e6i | 0.0382676 | − | 0.00614155i | ||||
\(793\) | − | 1.14373e9i | − | 2.29352i | ||||||
\(794\) | −2.24388e8 | + | 1.19136e7i | −0.448268 | + | 0.0238003i | ||||
\(795\) | −1.18706e8 | + | 1.18706e8i | −0.236250 | + | 0.236250i | ||||
\(796\) | −7.25770e7 | − | 6.81550e8i | −0.143900 | − | 1.35132i | ||||
\(797\) | −3.36288e8 | + | 3.36288e8i | −0.664257 | + | 0.664257i | −0.956381 | − | 0.292123i | \(-0.905638\pi\) |
0.292123 | + | 0.956381i | \(0.405638\pi\) | |||||||
\(798\) | 1.84401e8 | − | 2.05080e8i | 0.362873 | − | 0.403567i | ||||
\(799\) | − | 2.01061e8i | − | 0.394174i | ||||||
\(800\) | 4.00726e8 | − | 6.99595e8i | 0.782668 | − | 1.36640i | ||||
\(801\) | −3.54299e8 | −0.689402 | ||||||||
\(802\) | 2.08291e8 | + | 1.87288e8i | 0.403782 | + | 0.363067i | ||||
\(803\) | −1.53740e7 | − | 1.53740e7i | −0.0296921 | − | 0.0296921i | ||||
\(804\) | −1.10395e9 | + | 1.17558e8i | −2.12414 | + | 0.226195i | ||||
\(805\) | 4.94894e8 | + | 4.94894e8i | 0.948690 | + | 0.948690i | ||||
\(806\) | 2.42486e7 | + | 4.56711e8i | 0.0463107 | + | 0.872241i | ||||
\(807\) | −7.39140e8 | −1.40639 | ||||||||
\(808\) | 1.70670e8 | − | 2.73907e7i | 0.323536 | − | 0.0519242i | ||||
\(809\) | 2.41708e8i | 0.456506i | 0.973602 | + | 0.228253i | \(0.0733013\pi\) | ||||
−0.973602 | + | 0.228253i | \(0.926699\pi\) | |||||||
\(810\) | −5.21337e7 | − | 9.81914e8i | −0.0980988 | − | 1.84764i | ||||
\(811\) | 4.40043e8 | − | 4.40043e8i | 0.824959 | − | 0.824959i | −0.161855 | − | 0.986814i | \(-0.551748\pi\) |
0.986814 | + | 0.161855i | \(0.0517478\pi\) | |||||||
\(812\) | −2.48874e8 | − | 2.00971e8i | −0.464849 | − | 0.375375i | ||||
\(813\) | 4.00893e8 | − | 4.00893e8i | 0.746030 | − | 0.746030i | ||||
\(814\) | 2.09254e7 | + | 1.88154e7i | 0.0387972 | + | 0.0348851i | ||||
\(815\) | 7.25025e8i | 1.33931i | ||||||||
\(816\) | 4.01688e8 | + | 2.59299e8i | 0.739296 | + | 0.477233i | ||||
\(817\) | 1.20083e8 | 0.220199 | ||||||||
\(818\) | 5.16891e8 | − | 5.74856e8i | 0.944363 | − | 1.05027i | ||||
\(819\) | 5.73920e8 | + | 5.73920e8i | 1.04472 | + | 1.04472i | ||||
\(820\) | 6.87923e8 | + | 5.55512e8i | 1.24767 | + | 1.00752i | ||||
\(821\) | −2.57117e8 | − | 2.57117e8i | −0.464624 | − | 0.464624i | 0.435544 | − | 0.900168i | \(-0.356556\pi\) |
−0.900168 | + | 0.435544i | \(0.856556\pi\) | |||||||
\(822\) | 2.92670e8 | − | 1.55390e7i | 0.526943 | − | 0.0279775i | ||||
\(823\) | −9.19926e8 | −1.65026 | −0.825132 | − | 0.564940i | \(-0.808899\pi\) | ||||
−0.825132 | + | 0.564940i | \(0.808899\pi\) | |||||||
\(824\) | 1.58086e8 | − | 2.18529e8i | 0.282561 | − | 0.390596i | ||||
\(825\) | − | 5.68497e7i | − | 0.101243i | ||||||
\(826\) | 2.62839e8 | − | 1.39551e7i | 0.466390 | − | 0.0247625i | ||||
\(827\) | −4.44970e8 | + | 4.44970e8i | −0.786709 | + | 0.786709i | −0.980953 | − | 0.194245i | \(-0.937774\pi\) |
0.194245 | + | 0.980953i | \(0.437774\pi\) | |||||||
\(828\) | 3.18797e8 | − | 3.39481e7i | 0.561595 | − | 0.0598032i | ||||
\(829\) | 3.19132e8 | − | 3.19132e8i | 0.560153 | − | 0.560153i | −0.369198 | − | 0.929351i | \(-0.620368\pi\) |
0.929351 | + | 0.369198i | \(0.120368\pi\) | |||||||
\(830\) | −1.04144e9 | + | 1.15823e9i | −1.82138 | + | 2.02563i | ||||
\(831\) | − | 7.70672e8i | − | 1.34297i | ||||||
\(832\) | −7.79684e8 | − | 3.93245e8i | −1.35378 | − | 0.682799i | ||||
\(833\) | −1.67281e8 | −0.289410 | ||||||||
\(834\) | −4.77918e8 | − | 4.29728e8i | −0.823864 | − | 0.740790i | ||||
\(835\) | −9.17448e7 | − | 9.17448e7i | −0.157588 | − | 0.157588i | ||||
\(836\) | 992329. | + | 9.31868e6i | 0.00169839 | + | 0.0159491i | ||||
\(837\) | 6.06667e7 | + | 6.06667e7i | 0.103460 | + | 0.103460i | ||||
\(838\) | −5.95000e7 | − | 1.12065e9i | −0.101108 | − | 1.90432i | ||||
\(839\) | 3.41595e8 | 0.578397 | 0.289198 | − | 0.957269i | \(-0.406611\pi\) | ||||
0.289198 | + | 0.957269i | \(0.406611\pi\) | |||||||
\(840\) | 1.24559e9 | + | 9.01073e8i | 2.10154 | + | 1.52027i | ||||
\(841\) | 4.47630e8i | 0.752543i | ||||||||
\(842\) | 1.02162e7 | + | 1.92417e8i | 0.0171140 | + | 0.322335i | ||||
\(843\) | 1.32651e8 | − | 1.32651e8i | 0.221426 | − | 0.221426i | ||||
\(844\) | 3.40732e7 | − | 4.21948e7i | 0.0566742 | − | 0.0701830i | ||||
\(845\) | −8.89211e8 | + | 8.89211e8i | −1.47379 | + | 1.47379i | ||||
\(846\) | −2.20215e8 | − | 1.98010e8i | −0.363694 | − | 0.327021i | ||||
\(847\) | 7.28176e8i | 1.19836i | ||||||||
\(848\) | 7.92649e7 | + | 5.11673e7i | 0.129985 | + | 0.0839083i | ||||
\(849\) | 3.98064e8 | 0.650473 | ||||||||
\(850\) | 4.22760e8 | − | 4.70169e8i | 0.688393 | − | 0.765591i | ||||
\(851\) | 3.31323e8 | + | 3.31323e8i | 0.537604 | + | 0.537604i | ||||
\(852\) | −5.19512e8 | + | 6.43342e8i | −0.839995 | + | 1.04022i | ||||
\(853\) | −7.26055e8 | − | 7.26055e8i | −1.16983 | − | 1.16983i | −0.982249 | − | 0.187580i | \(-0.939936\pi\) |
−0.187580 | − | 0.982249i | \(-0.560064\pi\) | |||||||
\(854\) | 1.13001e9 | − | 5.99965e7i | 1.81429 | − | 0.0963280i | ||||
\(855\) | −2.73171e8 | −0.437055 | ||||||||
\(856\) | 1.38645e8 | + | 8.63886e8i | 0.221046 | + | 1.37732i | ||||
\(857\) | − | 1.03657e9i | − | 1.64686i | −0.567414 | − | 0.823432i | \(-0.692056\pi\) | ||
0.567414 | − | 0.823432i | \(-0.307944\pi\) | |||||||
\(858\) | −6.14878e7 | + | 3.26463e6i | −0.0973480 | + | 0.00516859i | ||||
\(859\) | −3.46895e8 | + | 3.46895e8i | −0.547291 | + | 0.547291i | −0.925656 | − | 0.378366i | \(-0.876486\pi\) |
0.378366 | + | 0.925656i | \(0.376486\pi\) | |||||||
\(860\) | 7.08797e7 | + | 6.65611e8i | 0.111436 | + | 1.04647i | ||||
\(861\) | −7.29155e8 | + | 7.29155e8i | −1.14238 | + | 1.14238i | ||||
\(862\) | −3.31274e8 | + | 3.68424e8i | −0.517209 | + | 0.575210i | ||||
\(863\) | − | 2.30709e8i | − | 0.358948i | −0.983763 | − | 0.179474i | \(-0.942560\pi\) | ||
0.983763 | − | 0.179474i | \(-0.0574396\pi\) | |||||||
\(864\) | −1.58084e8 | + | 4.29388e7i | −0.245102 | + | 0.0665747i | ||||
\(865\) | 1.16506e9 | 1.80011 | ||||||||
\(866\) | −4.07205e7 | − | 3.66145e7i | −0.0626989 | − | 0.0563767i | ||||
\(867\) | −3.55072e8 | − | 3.55072e8i | −0.544828 | − | 0.544828i | ||||
\(868\) | −4.49959e8 | + | 4.79154e7i | −0.688041 | + | 0.0732682i | ||||
\(869\) | 1.97716e7 | + | 1.97716e7i | 0.0301289 | + | 0.0301289i | ||||
\(870\) | 3.75056e7 | + | 7.06400e8i | 0.0569559 | + | 1.07274i | ||||
\(871\) | 1.59021e9 | 2.40659 | ||||||||
\(872\) | −1.90247e8 | − | 1.18541e9i | −0.286925 | − | 1.78781i | ||||
\(873\) | 5.90054e8i | 0.886848i | ||||||||
\(874\) | 8.27314e6 | + | 1.55821e8i | 0.0123918 | + | 0.233395i | ||||
\(875\) | 5.24655e8 | − | 5.24655e8i | 0.783159 | − | 0.783159i | ||||
\(876\) | −6.18676e8 | − | 4.99594e8i | −0.920346 | − | 0.743198i | ||||
\(877\) | 1.79911e7 | − | 1.79911e7i | 0.0266722 | − | 0.0266722i | −0.693645 | − | 0.720317i | \(-0.743996\pi\) |
0.720317 | + | 0.693645i | \(0.243996\pi\) | |||||||
\(878\) | 8.81004e8 | + | 7.92168e8i | 1.30165 | + | 1.17040i | ||||
\(879\) | 9.98775e8i | 1.47062i | ||||||||
\(880\) | −5.10671e7 | + | 1.10008e7i | −0.0749364 | + | 0.0161427i | ||||
\(881\) | 6.42117e8 | 0.939045 | 0.469523 | − | 0.882920i | \(-0.344426\pi\) | ||||
0.469523 | + | 0.882920i | \(0.344426\pi\) | |||||||
\(882\) | −1.64743e8 | + | 1.83218e8i | −0.240105 | + | 0.267031i | ||||
\(883\) | 4.47721e8 | + | 4.47721e8i | 0.650317 | + | 0.650317i | 0.953069 | − | 0.302752i | \(-0.0979054\pi\) |
−0.302752 | + | 0.953069i | \(0.597905\pi\) | |||||||
\(884\) | −5.32804e8 | − | 4.30250e8i | −0.771278 | − | 0.622823i | ||||
\(885\) | −4.11577e8 | − | 4.11577e8i | −0.593774 | − | 0.593774i | ||||
\(886\) | −1.24292e9 | + | 6.59918e7i | −1.78708 | + | 0.0948831i | ||||
\(887\) | 5.17347e8 | 0.741329 | 0.370664 | − | 0.928767i | \(-0.379130\pi\) | ||||
0.370664 | + | 0.928767i | \(0.379130\pi\) | |||||||
\(888\) | 8.33900e8 | + | 6.03252e8i | 1.19090 | + | 0.861509i | ||||
\(889\) | 2.88183e8i | 0.410170i | ||||||||
\(890\) | 9.59888e8 | − | 5.09643e7i | 1.36160 | − | 0.0722930i | ||||
\(891\) | −2.75529e7 | + | 2.75529e7i | −0.0389524 | + | 0.0389524i | ||||
\(892\) | −3.04865e8 | + | 3.24645e7i | −0.429549 | + | 0.0457419i | ||||
\(893\) | 1.01921e8 | − | 1.01921e8i | 0.143123 | − | 0.143123i | ||||
\(894\) | 5.40718e8 | − | 6.01355e8i | 0.756760 | − | 0.841624i | ||||
\(895\) | − | 3.16885e8i | − | 0.442011i | ||||||
\(896\) | 3.47627e8 | − | 7.90957e8i | 0.483269 | − | 1.09959i | ||||
\(897\) | −1.02526e9 | −1.42055 | ||||||||
\(898\) | −1.80275e8 | − | 1.62097e8i | −0.248947 | − | 0.223845i | ||||
\(899\) | −1.47231e8 | − | 1.47231e8i | −0.202637 | − | 0.202637i | ||||
\(900\) | −9.86153e7 | − | 9.26068e8i | −0.135275 | − | 1.27033i | ||||
\(901\) | 5.23186e7 | + | 5.23186e7i | 0.0715289 | + | 0.0715289i | ||||
\(902\) | −1.85776e6 | − | 3.49900e7i | −0.00253145 | − | 0.0476786i | ||||
\(903\) | −7.80634e8 | −1.06019 | ||||||||
\(904\) | −1.71368e7 | + | 2.36889e7i | −0.0231966 | + | 0.0320656i | ||||
\(905\) | − | 7.07535e8i | − | 0.954557i | ||||||
\(906\) | 6.65699e6 | + | 1.25381e8i | 0.00895144 | + | 0.168596i | ||||
\(907\) | −2.47278e8 | + | 2.47278e8i | −0.331409 | + | 0.331409i | −0.853121 | − | 0.521713i | \(-0.825293\pi\) |
0.521713 | + | 0.853121i | \(0.325293\pi\) | |||||||
\(908\) | −7.09930e8 | + | 8.79148e8i | −0.948327 | + | 1.17437i | ||||
\(909\) | 1.41187e8 | − | 1.41187e8i | 0.187976 | − | 0.187976i | ||||
\(910\) | −1.63745e9 | − | 1.47234e9i | −2.17292 | − | 1.95382i | ||||
\(911\) | − | 1.40425e9i | − | 1.85733i | −0.370919 | − | 0.928665i | \(-0.620957\pi\) | ||
0.370919 | − | 0.928665i | \(-0.379043\pi\) | |||||||
\(912\) | 7.21796e7 | + | 3.35066e8i | 0.0951547 | + | 0.441719i | ||||
\(913\) | 6.17236e7 | 0.0811034 | ||||||||
\(914\) | −8.61718e8 | + | 9.58353e8i | −1.12857 | + | 1.25512i | ||||
\(915\) | −1.76947e9 | − | 1.76947e9i | −2.30983 | − | 2.30983i | ||||
\(916\) | −2.67769e8 | + | 3.31595e8i | −0.348397 | + | 0.431441i | ||||
\(917\) | 7.63790e8 | + | 7.63790e8i | 0.990526 | + | 0.990526i | ||||
\(918\) | −1.28288e8 | + | 6.81132e6i | −0.165828 | + | 0.00880447i | ||||
\(919\) | −8.17828e8 | −1.05370 | −0.526848 | − | 0.849959i | \(-0.676626\pi\) | ||||
−0.526848 | + | 0.849959i | \(0.676626\pi\) | |||||||
\(920\) | −8.58820e8 | + | 1.37832e8i | −1.10291 | + | 0.177005i | ||||
\(921\) | 6.19839e8i | 0.793414i | ||||||||
\(922\) | 1.83758e8 | − | 9.75645e6i | 0.234452 | − | 0.0124480i | ||||
\(923\) | 8.37530e8 | − | 8.37530e8i | 1.06511 | − | 1.06511i | ||||
\(924\) | −6.45093e6 | − | 6.05788e7i | −0.00817723 | − | 0.0767900i | ||||
\(925\) | 9.62454e8 | − | 9.62454e8i | 1.21606 | − | 1.21606i | ||||
\(926\) | 9.01043e8 | − | 1.00209e9i | 1.13478 | − | 1.26204i | ||||
\(927\) | − | 3.11555e8i | − | 0.391107i | ||||||
\(928\) | 3.83651e8 | − | 1.04207e8i | 0.480057 | − | 0.130393i | ||||
\(929\) | 9.02460e8 | 1.12559 | 0.562796 | − | 0.826596i | \(-0.309726\pi\) | ||||
0.562796 | + | 0.826596i | \(0.309726\pi\) | |||||||
\(930\) | 7.44095e8 | + | 6.69065e8i | 0.925080 | + | 0.831801i | ||||
\(931\) | −8.47979e7 | − | 8.47979e7i | −0.105084 | − | 0.105084i | ||||
\(932\) | 4.85285e8 | − | 5.16771e7i | 0.599444 | − | 0.0638337i | ||||
\(933\) | 7.35524e8 | + | 7.35524e8i | 0.905632 | + | 0.905632i | ||||
\(934\) | 4.61424e7 | + | 8.69070e8i | 0.0566317 | + | 1.06663i | ||||
\(935\) | −4.09677e7 | −0.0501195 | ||||||||
\(936\) | −9.95958e8 | + | 1.59841e8i | −1.21454 | + | 0.194922i | ||||
\(937\) | − | 8.55187e8i | − | 1.03954i | −0.854305 | − | 0.519771i | \(-0.826017\pi\) | ||
0.854305 | − | 0.519771i | \(-0.173983\pi\) | |||||||
\(938\) | 8.34179e7 | + | 1.57114e9i | 0.101077 | + | 1.90373i | ||||
\(939\) | 1.12069e9 | − | 1.12069e9i | 1.35359 | − | 1.35359i | ||||
\(940\) | 6.25103e8 | + | 5.04783e8i | 0.752606 | + | 0.607745i | ||||
\(941\) | −6.02375e8 | + | 6.02375e8i | −0.722933 | + | 0.722933i | −0.969202 | − | 0.246269i | \(-0.920795\pi\) |
0.246269 | + | 0.969202i | \(0.420795\pi\) | |||||||
\(942\) | 1.29878e9 | + | 1.16782e9i | 1.55376 | + | 1.39709i | ||||
\(943\) | − | 5.83429e8i | − | 0.695750i | ||||||
\(944\) | −1.77407e8 | + | 2.74826e8i | −0.210889 | + | 0.326695i | ||||
\(945\) | −4.13086e8 | −0.489491 | ||||||||
\(946\) | 1.77357e7 | − | 1.97246e7i | 0.0209495 | − | 0.0232989i | ||||
\(947\) | −4.57925e8 | − | 4.57925e8i | −0.539193 | − | 0.539193i | 0.384099 | − | 0.923292i | \(-0.374512\pi\) |
−0.923292 | + | 0.384099i | \(0.874512\pi\) | |||||||
\(948\) | 7.95642e8 | + | 6.42498e8i | 0.933884 | + | 0.754130i | ||||
\(949\) | 8.05419e8 | + | 8.05419e8i | 0.942374 | + | 0.942374i | ||||
\(950\) | 4.52641e8 | − | 2.40325e7i | 0.527938 | − | 0.0280303i | ||||
\(951\) | −9.21155e8 | −1.07100 | ||||||||
\(952\) | 3.97139e8 | − | 5.48982e8i | 0.460290 | − | 0.636278i | ||||
\(953\) | 1.03047e9i | 1.19057i | 0.803513 | + | 0.595287i | \(0.202962\pi\) | ||||
−0.803513 | + | 0.595287i | \(0.797038\pi\) | |||||||
\(954\) | 1.08827e8 | − | 5.77808e6i | 0.125341 | − | 0.00665485i | ||||
\(955\) | −1.01033e9 | + | 1.01033e9i | −1.15999 | + | 1.15999i | ||||
\(956\) | 7.29654e8 | − | 7.76995e7i | 0.835109 | − | 0.0889292i | ||||
\(957\) | 1.98219e7 | − | 1.98219e7i | 0.0226157 | − | 0.0226157i | ||||
\(958\) | 9.65692e8 | − | 1.07399e9i | 1.09835 | − | 1.22152i | ||||
\(959\) | − | 4.15352e8i | − | 0.470934i | ||||||
\(960\) | −1.81464e9 | + | 5.97862e8i | −2.05106 | + | 0.675751i | ||||
\(961\) | 5.92968e8 | 0.668130 | ||||||||
\(962\) | −1.09625e9 | − | 9.85706e8i | −1.23135 | − | 1.10719i | ||||
\(963\) | 7.14650e8 | + | 7.14650e8i | 0.800229 | + | 0.800229i | ||||
\(964\) | −1.29563e8 | − | 1.21669e9i | −0.144627 | − | 1.35815i | ||||
\(965\) | −2.32259e8 | − | 2.32259e8i | −0.258459 | − | 0.258459i | ||||
\(966\) | −5.37820e7 | − | 1.01296e9i | −0.0596630 | − | 1.12372i | ||||
\(967\) | 1.42057e9 | 1.57103 | 0.785513 | − | 0.618845i | \(-0.212399\pi\) | ||||
0.785513 | + | 0.618845i | \(0.212399\pi\) | |||||||
\(968\) | −7.33226e8 | − | 5.30423e8i | −0.808373 | − | 0.584785i | ||||
\(969\) | 2.68801e8i | 0.295434i | ||||||||
\(970\) | −8.48766e7 | − | 1.59861e9i | −0.0929978 | − | 1.75157i | ||||
\(971\) | −5.17352e8 | + | 5.17352e8i | −0.565104 | + | 0.565104i | −0.930753 | − | 0.365649i | \(-0.880847\pi\) |
0.365649 | + | 0.930753i | \(0.380847\pi\) | |||||||
\(972\) | −7.48824e8 | + | 9.27312e8i | −0.815419 | + | 1.00978i | ||||
\(973\) | −6.44056e8 | + | 6.44056e8i | −0.699174 | + | 0.699174i | ||||
\(974\) | −1.64677e8 | − | 1.48071e8i | −0.178219 | − | 0.160249i | ||||
\(975\) | 2.97826e9i | 3.21328i | ||||||||
\(976\) | −7.62714e8 | + | 1.18154e9i | −0.820375 | + | 1.27087i | ||||
\(977\) | −1.73570e9 | −1.86119 | −0.930594 | − | 0.366054i | \(-0.880709\pi\) | ||||
−0.930594 | + | 0.366054i | \(0.880709\pi\) | |||||||
\(978\) | 7.02602e8 | − | 7.81393e8i | 0.751091 | − | 0.835320i | ||||
\(979\) | −2.69349e7 | − | 2.69349e7i | −0.0287056 | − | 0.0287056i | ||||
\(980\) | 4.19977e8 | − | 5.20082e8i | 0.446218 | − | 0.552578i | ||||
\(981\) | −9.80635e8 | − | 9.80635e8i | −1.03872 | − | 1.03872i | ||||
\(982\) | −1.28164e9 | + | 6.80476e7i | −1.35342 | + | 0.0718585i | ||||
\(983\) | 5.18747e8 | 0.546129 | 0.273064 | − | 0.961996i | \(-0.411963\pi\) | ||||
0.273064 | + | 0.961996i | \(0.411963\pi\) | |||||||
\(984\) | −2.03075e8 | − | 1.26535e9i | −0.213143 | − | 1.32808i | ||||
\(985\) | 2.27719e9i | 2.38282i | ||||||||
\(986\) | 3.11339e8 | − | 1.65302e7i | 0.324790 | − | 0.0172444i | ||||
\(987\) | −6.62569e8 | + | 6.62569e8i | −0.689096 | + | 0.689096i | ||||
\(988\) | −5.19864e7 | − | 4.88189e8i | −0.0539038 | − | 0.506195i | ||||
\(989\) | 3.12310e8 | − | 3.12310e8i | 0.322847 | − | 0.322847i | ||||
\(990\) | −4.03461e7 | + | 4.48706e7i | −0.0415811 | + | 0.0462441i | ||||
\(991\) | − | 6.01846e8i | − | 0.618392i | −0.950998 | − | 0.309196i | \(-0.899940\pi\) | ||
0.950998 | − | 0.309196i | \(-0.100060\pi\) | |||||||
\(992\) | 2.79515e8 | − | 4.87982e8i | 0.286332 | − | 0.499884i | ||||
\(993\) | −7.69130e8 | −0.785510 | ||||||||
\(994\) | 8.71416e8 | + | 7.83547e8i | 0.887292 | + | 0.797822i | ||||
\(995\) | 1.51888e9 | + | 1.51888e9i | 1.54189 | + | 1.54189i | ||||
\(996\) | 2.24481e9 | − | 2.39046e8i | 2.27197 | − | 0.241938i | ||||
\(997\) | −7.87235e8 | − | 7.87235e8i | −0.794363 | − | 0.794363i | 0.187837 | − | 0.982200i | \(-0.439852\pi\) |
−0.982200 | + | 0.187837i | \(0.939852\pi\) | |||||||
\(998\) | 1.78119e7 | + | 3.35478e8i | 0.0179192 | + | 0.337499i | ||||
\(999\) | −2.76554e8 | −0.277385 |
(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 | 16.7.f.a.11.9 | yes | 22 | |
4.3 | odd | 2 | 64.7.f.a.15.2 | 22 | |||
8.3 | odd | 2 | 128.7.f.a.31.10 | 22 | |||
8.5 | even | 2 | 128.7.f.b.31.2 | 22 | |||
16.3 | odd | 4 | inner | 16.7.f.a.3.9 | ✓ | 22 | |
16.5 | even | 4 | 128.7.f.a.95.10 | 22 | |||
16.11 | odd | 4 | 128.7.f.b.95.2 | 22 | |||
16.13 | even | 4 | 64.7.f.a.47.2 | 22 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.7.f.a.3.9 | ✓ | 22 | 16.3 | odd | 4 | inner | |
16.7.f.a.11.9 | yes | 22 | 1.1 | even | 1 | trivial | |
64.7.f.a.15.2 | 22 | 4.3 | odd | 2 | |||
64.7.f.a.47.2 | 22 | 16.13 | even | 4 | |||
128.7.f.a.31.10 | 22 | 8.3 | odd | 2 | |||
128.7.f.a.95.10 | 22 | 16.5 | even | 4 | |||
128.7.f.b.31.2 | 22 | 8.5 | even | 2 | |||
128.7.f.b.95.2 | 22 | 16.11 | odd | 4 |