Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [80,6,Mod(29,80)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(80, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("80.29");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 80 = 2^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 80.q (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: | \(12.8307055850\) |
Analytic rank: | \(0\) |
Dimension: | \(116\) |
Relative dimension: | \(58\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 29.9 | ||
Character | \(\chi\) | \(=\) | 80.29 |
Dual form | 80.6.q.a.69.9 |
$q$-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 \(\left(\mathbb{Z}/80\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(21\) | \(31\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5.15884 | + | 2.32087i | −0.911962 | + | 0.410275i | ||||
\(3\) | −9.83803 | + | 9.83803i | −0.631110 | + | 0.631110i | −0.948347 | − | 0.317236i | \(-0.897245\pi\) |
0.317236 | + | 0.948347i | \(0.397245\pi\) | |||||||
\(4\) | 21.2272 | − | 23.9459i | 0.663349 | − | 0.748310i | ||||
\(5\) | 46.4875 | − | 31.0470i | 0.831593 | − | 0.555385i | ||||
\(6\) | 27.9200 | − | 73.5856i | 0.316620 | − | 0.834477i | ||||
\(7\) | −45.7194 | −0.352659 | −0.176330 | − | 0.984331i | \(-0.556422\pi\) | ||||
−0.176330 | + | 0.984331i | \(0.556422\pi\) | |||||||
\(8\) | −53.9321 | + | 172.799i | −0.297936 | + | 0.954586i | ||||
\(9\) | 49.4262i | 0.203400i | ||||||||
\(10\) | −167.765 | + | 268.057i | −0.530520 | + | 0.847672i | ||||
\(11\) | −266.663 | + | 266.663i | −0.664479 | + | 0.664479i | −0.956433 | − | 0.291953i | \(-0.905695\pi\) |
0.291953 | + | 0.956433i | \(0.405695\pi\) | |||||||
\(12\) | 26.7474 | + | 444.414i | 0.0536201 | + | 0.890912i | ||||
\(13\) | −19.5826 | + | 19.5826i | −0.0321375 | + | 0.0321375i | −0.722993 | − | 0.690855i | \(-0.757234\pi\) |
0.690855 | + | 0.722993i | \(0.257234\pi\) | |||||||
\(14\) | 235.859 | − | 106.109i | 0.321612 | − | 0.144687i | ||||
\(15\) | −151.904 | + | 762.787i | −0.174318 | + | 0.875336i | ||||
\(16\) | −122.815 | − | 1016.61i | −0.119937 | − | 0.992782i | ||||
\(17\) | − | 891.207i | − | 0.747922i | −0.927444 | − | 0.373961i | \(-0.877999\pi\) | ||
0.927444 | − | 0.373961i | \(-0.122001\pi\) | |||||||
\(18\) | −114.712 | − | 254.982i | −0.0834499 | − | 0.185493i | ||||
\(19\) | −334.228 | − | 334.228i | −0.212402 | − | 0.212402i | 0.592885 | − | 0.805287i | \(-0.297989\pi\) |
−0.805287 | + | 0.592885i | \(0.797989\pi\) | |||||||
\(20\) | 243.348 | − | 1772.23i | 0.136036 | − | 0.990704i | ||||
\(21\) | 449.789 | − | 449.789i | 0.222567 | − | 0.222567i | ||||
\(22\) | 756.782 | − | 1994.56i | 0.333361 | − | 0.878599i | ||||
\(23\) | −1574.39 | −0.620572 | −0.310286 | − | 0.950643i | \(-0.600425\pi\) | ||||
−0.310286 | + | 0.950643i | \(0.600425\pi\) | |||||||
\(24\) | −1169.41 | − | 2230.58i | −0.414419 | − | 0.790479i | ||||
\(25\) | 1197.17 | − | 2886.59i | 0.383094 | − | 0.923709i | ||||
\(26\) | 55.5749 | − | 146.472i | 0.0161230 | − | 0.0424934i | ||||
\(27\) | −2876.90 | − | 2876.90i | −0.759478 | − | 0.759478i | ||||
\(28\) | −970.493 | + | 1094.79i | −0.233936 | + | 0.263899i | ||||
\(29\) | −116.945 | − | 116.945i | −0.0258219 | − | 0.0258219i | 0.694078 | − | 0.719900i | \(-0.255812\pi\) |
−0.719900 | + | 0.694078i | \(0.755812\pi\) | |||||||
\(30\) | −986.678 | − | 4287.64i | −0.200158 | − | 0.869791i | ||||
\(31\) | −3236.11 | −0.604811 | −0.302405 | − | 0.953179i | \(-0.597790\pi\) | ||||
−0.302405 | + | 0.953179i | \(0.597790\pi\) | |||||||
\(32\) | 2993.00 | + | 4959.48i | 0.516691 | + | 0.856172i | ||||
\(33\) | − | 5246.88i | − | 0.838719i | ||||||
\(34\) | 2068.37 | + | 4597.59i | 0.306854 | + | 0.682076i | ||||
\(35\) | −2125.38 | + | 1419.45i | −0.293269 | + | 0.195862i | ||||
\(36\) | 1183.56 | + | 1049.18i | 0.152206 | + | 0.134925i | ||||
\(37\) | −3959.03 | − | 3959.03i | −0.475427 | − | 0.475427i | 0.428238 | − | 0.903666i | \(-0.359134\pi\) |
−0.903666 | + | 0.428238i | \(0.859134\pi\) | |||||||
\(38\) | 2499.92 | + | 948.528i | 0.280846 | + | 0.106559i | ||||
\(39\) | − | 385.309i | − | 0.0405647i | ||||||
\(40\) | 2857.70 | + | 9707.40i | 0.282402 | + | 0.959296i | ||||
\(41\) | − | 9816.22i | − | 0.911979i | −0.889985 | − | 0.455989i | \(-0.849285\pi\) | ||
0.889985 | − | 0.455989i | \(-0.150715\pi\) | |||||||
\(42\) | −1276.49 | + | 3364.29i | −0.111659 | + | 0.294286i | ||||
\(43\) | −10555.6 | − | 10555.6i | −0.870589 | − | 0.870589i | 0.121948 | − | 0.992537i | \(-0.461086\pi\) |
−0.992537 | + | 0.121948i | \(0.961086\pi\) | |||||||
\(44\) | 724.996 | + | 12046.0i | 0.0564552 | + | 0.938018i | ||||
\(45\) | 1534.53 | + | 2297.70i | 0.112965 | + | 0.169146i | ||||
\(46\) | 8122.00 | − | 3653.94i | 0.565938 | − | 0.254605i | ||||
\(47\) | − | 3833.55i | − | 0.253138i | −0.991958 | − | 0.126569i | \(-0.959604\pi\) | ||
0.991958 | − | 0.126569i | \(-0.0403965\pi\) | |||||||
\(48\) | 11209.7 | + | 8793.17i | 0.702248 | + | 0.550861i | ||||
\(49\) | −14716.7 | −0.875631 | ||||||||
\(50\) | 523.392 | + | 17669.9i | 0.0296075 | + | 0.999562i | ||||
\(51\) | 8767.72 | + | 8767.72i | 0.472021 | + | 0.472021i | ||||
\(52\) | 53.2407 | + | 884.608i | 0.00273046 | + | 0.0453673i | ||||
\(53\) | −9373.35 | − | 9373.35i | −0.458358 | − | 0.458358i | 0.439758 | − | 0.898116i | \(-0.355064\pi\) |
−0.898116 | + | 0.439758i | \(0.855064\pi\) | |||||||
\(54\) | 21518.3 | + | 8164.55i | 1.00421 | + | 0.381020i | ||||
\(55\) | −4117.41 | + | 20675.6i | −0.183534 | + | 0.921619i | ||||
\(56\) | 2465.74 | − | 7900.24i | 0.105070 | − | 0.336644i | ||||
\(57\) | 6576.28 | 0.268098 | ||||||||
\(58\) | 874.715 | + | 331.887i | 0.0341426 | + | 0.0129545i | ||||
\(59\) | −56.0853 | + | 56.0853i | −0.00209758 | + | 0.00209758i | −0.708155 | − | 0.706057i | \(-0.750472\pi\) |
0.706057 | + | 0.708155i | \(0.250472\pi\) | |||||||
\(60\) | 15041.1 | + | 19829.3i | 0.539390 | + | 0.711097i | ||||
\(61\) | 20778.0 | + | 20778.0i | 0.714957 | + | 0.714957i | 0.967568 | − | 0.252611i | \(-0.0812892\pi\) |
−0.252611 | + | 0.967568i | \(0.581289\pi\) | |||||||
\(62\) | 16694.6 | − | 7510.59i | 0.551565 | − | 0.248139i | ||||
\(63\) | − | 2259.73i | − | 0.0717309i | ||||||
\(64\) | −26950.7 | − | 18638.8i | −0.822469 | − | 0.568810i | ||||
\(65\) | −302.365 | + | 1518.33i | −0.00887664 | + | 0.0445741i | ||||
\(66\) | 12177.3 | + | 27067.8i | 0.344106 | + | 0.764880i | ||||
\(67\) | 5444.53 | − | 5444.53i | 0.148174 | − | 0.148174i | −0.629128 | − | 0.777302i | \(-0.716588\pi\) |
0.777302 | + | 0.629128i | \(0.216588\pi\) | |||||||
\(68\) | −21340.8 | − | 18917.8i | −0.559678 | − | 0.496133i | ||||
\(69\) | 15488.9 | − | 15488.9i | 0.391649 | − | 0.391649i | ||||
\(70\) | 7670.13 | − | 12255.4i | 0.187093 | − | 0.298939i | ||||
\(71\) | 80893.1i | 1.90443i | 0.305425 | + | 0.952216i | \(0.401201\pi\) | ||||
−0.305425 | + | 0.952216i | \(0.598799\pi\) | |||||||
\(72\) | −8540.77 | − | 2665.66i | −0.194163 | − | 0.0606001i | ||||
\(73\) | −71776.0 | −1.57642 | −0.788211 | − | 0.615406i | \(-0.788992\pi\) | ||||
−0.788211 | + | 0.615406i | \(0.788992\pi\) | |||||||
\(74\) | 29612.3 | + | 11235.6i | 0.628628 | + | 0.238516i | ||||
\(75\) | 16620.6 | + | 40176.2i | 0.341188 | + | 0.824737i | ||||
\(76\) | −15098.1 | + | 908.688i | −0.299839 | + | 0.0180460i | ||||
\(77\) | 12191.7 | − | 12191.7i | 0.234335 | − | 0.234335i | ||||
\(78\) | 894.251 | + | 1987.75i | 0.0166427 | + | 0.0369934i | ||||
\(79\) | −93830.6 | −1.69152 | −0.845759 | − | 0.533564i | \(-0.820852\pi\) | ||||
−0.845759 | + | 0.533564i | \(0.820852\pi\) | |||||||
\(80\) | −37272.0 | − | 43446.5i | −0.651115 | − | 0.758979i | ||||
\(81\) | 44595.5 | 0.755228 | ||||||||
\(82\) | 22782.1 | + | 50640.3i | 0.374162 | + | 0.831690i | ||||
\(83\) | 59342.1 | − | 59342.1i | 0.945514 | − | 0.945514i | −0.0530764 | − | 0.998590i | \(-0.516903\pi\) |
0.998590 | + | 0.0530764i | \(0.0169027\pi\) | |||||||
\(84\) | −1222.87 | − | 20318.4i | −0.0189096 | − | 0.314188i | ||||
\(85\) | −27669.3 | − | 41429.9i | −0.415385 | − | 0.621967i | ||||
\(86\) | 78953.0 | + | 29956.6i | 1.15112 | + | 0.436763i | ||||
\(87\) | 2301.02 | 0.0325929 | ||||||||
\(88\) | −31697.3 | − | 60460.7i | −0.436331 | − | 0.832275i | ||||
\(89\) | − | 131863.i | − | 1.76461i | −0.470675 | − | 0.882306i | \(-0.655990\pi\) | ||
0.470675 | − | 0.882306i | \(-0.344010\pi\) | |||||||
\(90\) | −13249.1 | − | 8292.00i | −0.172416 | − | 0.107908i | ||||
\(91\) | 895.306 | − | 895.306i | 0.0113336 | − | 0.0113336i | ||||
\(92\) | −33419.8 | + | 37700.2i | −0.411655 | + | 0.464380i | ||||
\(93\) | 31837.0 | − | 31837.0i | 0.381702 | − | 0.381702i | ||||
\(94\) | 8897.16 | + | 19776.7i | 0.103856 | + | 0.230852i | ||||
\(95\) | −25914.2 | − | 5160.64i | −0.294597 | − | 0.0586670i | ||||
\(96\) | −78236.7 | − | 19346.3i | −0.866428 | − | 0.214250i | ||||
\(97\) | 74340.6i | 0.802226i | 0.916028 | + | 0.401113i | \(0.131377\pi\) | ||||
−0.916028 | + | 0.401113i | \(0.868623\pi\) | |||||||
\(98\) | 75921.2 | − | 34155.6i | 0.798542 | − | 0.359250i | ||||
\(99\) | −13180.2 | − | 13180.2i | −0.135155 | − | 0.135155i | ||||
\(100\) | −43709.6 | − | 89941.5i | −0.437096 | − | 0.899415i | ||||
\(101\) | 95511.7 | − | 95511.7i | 0.931650 | − | 0.931650i | −0.0661588 | − | 0.997809i | \(-0.521074\pi\) |
0.997809 | + | 0.0661588i | \(0.0210744\pi\) | |||||||
\(102\) | −65579.9 | − | 24882.5i | −0.624124 | − | 0.236807i | ||||
\(103\) | −55919.1 | −0.519358 | −0.259679 | − | 0.965695i | \(-0.583617\pi\) | ||||
−0.259679 | + | 0.965695i | \(0.583617\pi\) | |||||||
\(104\) | −2327.72 | − | 4439.98i | −0.0211031 | − | 0.0402530i | ||||
\(105\) | 6944.96 | − | 34874.1i | 0.0614747 | − | 0.308695i | ||||
\(106\) | 70109.9 | + | 26601.3i | 0.606058 | + | 0.229952i | ||||
\(107\) | 131751. | + | 131751.i | 1.11249 | + | 1.11249i | 0.992813 | + | 0.119675i | \(0.0381851\pi\) |
0.119675 | + | 0.992813i | \(0.461815\pi\) | |||||||
\(108\) | −129958. | + | 7821.63i | −1.07212 | + | 0.0645264i | ||||
\(109\) | −89988.4 | − | 89988.4i | −0.725471 | − | 0.725471i | 0.244243 | − | 0.969714i | \(-0.421461\pi\) |
−0.969714 | + | 0.244243i | \(0.921461\pi\) | |||||||
\(110\) | −26744.2 | − | 116218.i | −0.210741 | − | 0.915781i | ||||
\(111\) | 77898.1 | 0.600094 | ||||||||
\(112\) | 5615.04 | + | 46478.7i | 0.0422968 | + | 0.350114i | ||||
\(113\) | 236003.i | 1.73869i | 0.494209 | + | 0.869343i | \(0.335458\pi\) | ||||
−0.494209 | + | 0.869343i | \(0.664542\pi\) | |||||||
\(114\) | −33926.0 | + | 15262.7i | −0.244495 | + | 0.109994i | ||||
\(115\) | −73189.3 | + | 48880.0i | −0.516063 | + | 0.344656i | ||||
\(116\) | −5282.78 | + | 317.947i | −0.0364517 | + | 0.00219387i | ||||
\(117\) | −967.895 | − | 967.895i | −0.00653678 | − | 0.00653678i | ||||
\(118\) | 159.168 | − | 419.501i | 0.00105233 | − | 0.00277350i | ||||
\(119\) | 40745.4i | 0.263761i | ||||||||
\(120\) | −123616. | − | 67387.5i | −0.783648 | − | 0.427195i | ||||
\(121\) | 18832.4i | 0.116934i | ||||||||
\(122\) | −155414. | − | 58967.4i | −0.945343 | − | 0.358685i | ||||
\(123\) | 96572.3 | + | 96572.3i | 0.575559 | + | 0.575559i | ||||
\(124\) | −68693.5 | + | 77491.8i | −0.401201 | + | 0.452586i | ||||
\(125\) | −33966.6 | − | 171359.i | −0.194436 | − | 0.980915i | ||||
\(126\) | 5244.54 | + | 11657.6i | 0.0294294 | + | 0.0654158i | ||||
\(127\) | 99662.0i | 0.548303i | 0.961687 | + | 0.274151i | \(0.0883969\pi\) | ||||
−0.961687 | + | 0.274151i | \(0.911603\pi\) | |||||||
\(128\) | 182292. | + | 33605.5i | 0.983429 | + | 0.181295i | ||||
\(129\) | 207693. | 1.09887 | ||||||||
\(130\) | −1963.98 | − | 8534.56i | −0.0101925 | − | 0.0442917i | ||||
\(131\) | 91528.2 | + | 91528.2i | 0.465990 | + | 0.465990i | 0.900613 | − | 0.434623i | \(-0.143118\pi\) |
−0.434623 | + | 0.900613i | \(0.643118\pi\) | |||||||
\(132\) | −125642. | − | 111376.i | −0.627622 | − | 0.556363i | ||||
\(133\) | 15280.7 | + | 15280.7i | 0.0749055 | + | 0.0749055i | ||||
\(134\) | −15451.4 | + | 40723.4i | −0.0743371 | + | 0.195922i | ||||
\(135\) | −223059. | − | 44420.7i | −1.05338 | − | 0.209774i | ||||
\(136\) | 153999. | + | 48064.7i | 0.713956 | + | 0.222833i | ||||
\(137\) | 229311. | 1.04381 | 0.521907 | − | 0.853003i | \(-0.325221\pi\) | ||||
0.521907 | + | 0.853003i | \(0.325221\pi\) | |||||||
\(138\) | −43956.9 | + | 115852.i | −0.196485 | + | 0.517853i | ||||
\(139\) | −159785. | + | 159785.i | −0.701452 | + | 0.701452i | −0.964722 | − | 0.263270i | \(-0.915199\pi\) |
0.263270 | + | 0.964722i | \(0.415199\pi\) | |||||||
\(140\) | −11125.7 | + | 81025.0i | −0.0479742 | + | 0.349381i | ||||
\(141\) | 37714.6 | + | 37714.6i | 0.159758 | + | 0.159758i | ||||
\(142\) | −187742. | − | 417314.i | −0.781341 | − | 1.73677i | ||||
\(143\) | − | 10443.9i | − | 0.0427095i | ||||||
\(144\) | 50247.1 | − | 6070.29i | 0.201932 | − | 0.0243951i | ||||
\(145\) | −9067.29 | − | 1805.69i | −0.0358144 | − | 0.00713220i | ||||
\(146\) | 370281. | − | 166583.i | 1.43764 | − | 0.646766i | ||||
\(147\) | 144784. | − | 144784.i | 0.552620 | − | 0.552620i | ||||
\(148\) | −178842. | + | 10763.7i | −0.671142 | + | 0.0403931i | ||||
\(149\) | −101218. | + | 101218.i | −0.373503 | + | 0.373503i | −0.868751 | − | 0.495249i | \(-0.835077\pi\) |
0.495249 | + | 0.868751i | \(0.335077\pi\) | |||||||
\(150\) | −178986. | − | 168688.i | −0.649519 | − | 0.612148i | ||||
\(151\) | 225432.i | 0.804587i | 0.915511 | + | 0.402293i | \(0.131787\pi\) | ||||
−0.915511 | + | 0.402293i | \(0.868213\pi\) | |||||||
\(152\) | 75779.6 | − | 39728.4i | 0.266038 | − | 0.139474i | ||||
\(153\) | 44049.0 | 0.152127 | ||||||||
\(154\) | −34599.6 | + | 91190.1i | −0.117563 | + | 0.309846i | ||||
\(155\) | −150439. | + | 100472.i | −0.502957 | + | 0.335903i | ||||
\(156\) | −9226.59 | − | 8179.02i | −0.0303550 | − | 0.0269085i | ||||
\(157\) | 305972. | − | 305972.i | 0.990680 | − | 0.990680i | −0.00927741 | − | 0.999957i | \(-0.502953\pi\) |
0.999957 | + | 0.00927741i | \(0.00295313\pi\) | |||||||
\(158\) | 484057. | − | 217768.i | 1.54260 | − | 0.693988i | ||||
\(159\) | 184431. | 0.578549 | ||||||||
\(160\) | 293114. | + | 137630.i | 0.905182 | + | 0.425024i | ||||
\(161\) | 71980.0 | 0.218850 | ||||||||
\(162\) | −230061. | + | 103500.i | −0.688740 | + | 0.309851i | ||||
\(163\) | 245413. | − | 245413.i | 0.723483 | − | 0.723483i | −0.245830 | − | 0.969313i | \(-0.579060\pi\) |
0.969313 | + | 0.245830i | \(0.0790604\pi\) | |||||||
\(164\) | −235059. | − | 208371.i | −0.682443 | − | 0.604960i | ||||
\(165\) | −162900. | − | 243914.i | −0.465812 | − | 0.697473i | ||||
\(166\) | −168411. | + | 443862.i | −0.474352 | + | 1.25019i | ||||
\(167\) | −166169. | −0.461060 | −0.230530 | − | 0.973065i | \(-0.574046\pi\) | ||||
−0.230530 | + | 0.973065i | \(0.574046\pi\) | |||||||
\(168\) | 53464.8 | + | 101981.i | 0.146149 | + | 0.278770i | ||||
\(169\) | 370526.i | 0.997934i | ||||||||
\(170\) | 238895. | + | 149514.i | 0.633992 | + | 0.396788i | ||||
\(171\) | 16519.6 | − | 16519.6i | 0.0432025 | − | 0.0432025i | ||||
\(172\) | −476830. | + | 28698.3i | −1.22897 | + | 0.0739666i | ||||
\(173\) | −228911. | + | 228911.i | −0.581503 | + | 0.581503i | −0.935316 | − | 0.353813i | \(-0.884885\pi\) |
0.353813 | + | 0.935316i | \(0.384885\pi\) | |||||||
\(174\) | −11870.6 | + | 5340.36i | −0.0297235 | + | 0.0133720i | ||||
\(175\) | −54733.9 | + | 131973.i | −0.135102 | + | 0.325755i | ||||
\(176\) | 303842. | + | 238342.i | 0.739378 | + | 0.579987i | ||||
\(177\) | − | 1103.54i | − | 0.00264761i | ||||||
\(178\) | 306037. | + | 680262.i | 0.723977 | + | 1.60926i | ||||
\(179\) | −81510.8 | − | 81510.8i | −0.190144 | − | 0.190144i | 0.605614 | − | 0.795758i | \(-0.292927\pi\) |
−0.795758 | + | 0.605614i | \(0.792927\pi\) | |||||||
\(180\) | 87594.3 | + | 12027.8i | 0.201509 | + | 0.0276697i | ||||
\(181\) | −18567.7 | + | 18567.7i | −0.0421272 | + | 0.0421272i | −0.727857 | − | 0.685729i | \(-0.759483\pi\) |
0.685729 | + | 0.727857i | \(0.259483\pi\) | |||||||
\(182\) | −2540.85 | + | 6696.62i | −0.00568592 | + | 0.0149857i | ||||
\(183\) | −408830. | −0.902434 | ||||||||
\(184\) | 84910.0 | − | 272052.i | 0.184890 | − | 0.592389i | ||||
\(185\) | −306961. | − | 61129.3i | −0.659408 | − | 0.131317i | ||||
\(186\) | −90352.4 | + | 238131.i | −0.191495 | + | 0.504701i | ||||
\(187\) | 237652. | + | 237652.i | 0.496979 | + | 0.496979i | ||||
\(188\) | −91798.0 | − | 81375.5i | −0.189426 | − | 0.167919i | ||||
\(189\) | 131530. | + | 131530.i | 0.267837 | + | 0.267837i | ||||
\(190\) | 145664. | − | 33520.4i | 0.292731 | − | 0.0673636i | ||||
\(191\) | 219256. | 0.434878 | 0.217439 | − | 0.976074i | \(-0.430230\pi\) | ||||
0.217439 | + | 0.976074i | \(0.430230\pi\) | |||||||
\(192\) | 448510. | − | 81772.5i | 0.878050 | − | 0.160086i | ||||
\(193\) | 777534.i | 1.50254i | 0.659995 | + | 0.751270i | \(0.270559\pi\) | ||||
−0.659995 | + | 0.751270i | \(0.729441\pi\) | |||||||
\(194\) | −172535. | − | 383511.i | −0.329133 | − | 0.731600i | ||||
\(195\) | −11962.7 | − | 17912.0i | −0.0225290 | − | 0.0337333i | ||||
\(196\) | −312395. | + | 352406.i | −0.580849 | + | 0.655244i | ||||
\(197\) | −278563. | − | 278563.i | −0.511396 | − | 0.511396i | 0.403558 | − | 0.914954i | \(-0.367773\pi\) |
−0.914954 | + | 0.403558i | \(0.867773\pi\) | |||||||
\(198\) | 98583.6 | + | 37404.9i | 0.178707 | + | 0.0678055i | ||||
\(199\) | − | 746807.i | − | 1.33683i | −0.743789 | − | 0.668414i | \(-0.766973\pi\) | ||
0.743789 | − | 0.668414i | \(-0.233027\pi\) | |||||||
\(200\) | 434233. | + | 362549.i | 0.767622 | + | 0.640902i | ||||
\(201\) | 107127.i | 0.187029i | ||||||||
\(202\) | −271059. | + | 714399.i | −0.467397 | + | 1.23186i | ||||
\(203\) | 5346.66 | + | 5346.66i | 0.00910632 | + | 0.00910632i | ||||
\(204\) | 396065. | − | 23837.4i | 0.666333 | − | 0.0401036i | ||||
\(205\) | −304764. | − | 456331.i | −0.506500 | − | 0.758395i | ||||
\(206\) | 288477. | − | 129781.i | 0.473635 | − | 0.213080i | ||||
\(207\) | − | 77815.9i | − | 0.126224i | ||||||
\(208\) | 22312.9 | + | 17502.8i | 0.0357600 | + | 0.0280511i | ||||
\(209\) | 178252. | 0.282273 | ||||||||
\(210\) | 45110.3 | + | 196028.i | 0.0705874 | + | 0.306740i | ||||
\(211\) | −549963. | − | 549963.i | −0.850408 | − | 0.850408i | 0.139775 | − | 0.990183i | \(-0.455362\pi\) |
−0.990183 | + | 0.139775i | \(0.955362\pi\) | |||||||
\(212\) | −423423. | + | 25484.0i | −0.647046 | + | 0.0389429i | ||||
\(213\) | −795829. | − | 795829.i | −1.20191 | − | 1.20191i | ||||
\(214\) | −985460. | − | 373906.i | −1.47097 | − | 0.558120i | ||||
\(215\) | −818425. | − | 162984.i | −1.20749 | − | 0.240463i | ||||
\(216\) | 652281. | − | 341967.i | 0.951263 | − | 0.498711i | ||||
\(217\) | 147953. | 0.213292 | ||||||||
\(218\) | 673086. | + | 255384.i | 0.959245 | + | 0.363959i | ||||
\(219\) | 706135. | − | 706135.i | 0.994895 | − | 0.994895i | ||||
\(220\) | 407695. | + | 537479.i | 0.567909 | + | 0.748695i | ||||
\(221\) | 17452.2 | + | 17452.2i | 0.0240364 | + | 0.0240364i | ||||
\(222\) | −401863. | + | 180791.i | −0.547263 | + | 0.246204i | ||||
\(223\) | − | 1.19027e6i | − | 1.60282i | −0.598118 | − | 0.801408i | \(-0.704085\pi\) | ||
0.598118 | − | 0.801408i | \(-0.295915\pi\) | |||||||
\(224\) | −136838. | − | 226744.i | −0.182216 | − | 0.301937i | ||||
\(225\) | 142673. | + | 59171.5i | 0.187882 | + | 0.0779214i | ||||
\(226\) | −547731. | − | 1.21750e6i | −0.713339 | − | 1.58562i | ||||
\(227\) | 635906. | − | 635906.i | 0.819083 | − | 0.819083i | −0.166892 | − | 0.985975i | \(-0.553373\pi\) |
0.985975 | + | 0.166892i | \(0.0533730\pi\) | |||||||
\(228\) | 139596. | − | 157475.i | 0.177842 | − | 0.200620i | ||||
\(229\) | −795777. | + | 795777.i | −1.00277 | + | 1.00277i | −0.00277711 | + | 0.999996i | \(0.500884\pi\) |
−0.999996 | + | 0.00277711i | \(0.999116\pi\) | |||||||
\(230\) | 264127. | − | 422026.i | 0.329226 | − | 0.526041i | ||||
\(231\) | 239884.i | 0.295782i | ||||||||
\(232\) | 26515.1 | − | 13900.9i | 0.0323424 | − | 0.0169559i | ||||
\(233\) | −531116. | −0.640914 | −0.320457 | − | 0.947263i | \(-0.603836\pi\) | ||||
−0.320457 | + | 0.947263i | \(0.603836\pi\) | |||||||
\(234\) | 7239.57 | + | 2746.86i | 0.00864317 | + | 0.00327941i | ||||
\(235\) | −119020. | − | 178212.i | −0.140589 | − | 0.210508i | ||||
\(236\) | 152.483 | + | 2533.55i | 0.000178214 | + | 0.00296107i | ||||
\(237\) | 923109. | − | 923109.i | 1.06753 | − | 1.06753i | ||||
\(238\) | −94564.7 | − | 210199.i | −0.108215 | − | 0.240540i | ||||
\(239\) | −349145. | −0.395377 | −0.197689 | − | 0.980265i | \(-0.563343\pi\) | ||||
−0.197689 | + | 0.980265i | \(0.563343\pi\) | |||||||
\(240\) | 794111. | + | 60745.0i | 0.889925 | + | 0.0680742i | ||||
\(241\) | −1.36778e6 | −1.51696 | −0.758480 | − | 0.651697i | \(-0.774057\pi\) | ||||
−0.758480 | + | 0.651697i | \(0.774057\pi\) | |||||||
\(242\) | −43707.5 | − | 97153.2i | −0.0479753 | − | 0.106640i | ||||
\(243\) | 260354. | − | 260354.i | 0.282846 | − | 0.282846i | ||||
\(244\) | 938609. | − | 56490.7i | 1.00928 | − | 0.0607439i | ||||
\(245\) | −684144. | + | 456910.i | −0.728169 | + | 0.486313i | ||||
\(246\) | −722332. | − | 274069.i | −0.761025 | − | 0.288750i | ||||
\(247\) | 13090.1 | 0.0136521 | ||||||||
\(248\) | 174531. | − | 559196.i | 0.180195 | − | 0.577344i | ||||
\(249\) | 1.16762e6i | 1.19345i | ||||||||
\(250\) | 572929. | + | 805180.i | 0.579763 | + | 0.814785i | ||||
\(251\) | 1.17804e6 | − | 1.17804e6i | 1.18025 | − | 1.18025i | 0.200572 | − | 0.979679i | \(-0.435720\pi\) |
0.979679 | − | 0.200572i | \(-0.0642800\pi\) | |||||||
\(252\) | −54111.5 | − | 47967.8i | −0.0536770 | − | 0.0475826i | ||||
\(253\) | 419831. | − | 419831.i | 0.412357 | − | 0.412357i | ||||
\(254\) | −231302. | − | 514140.i | −0.224955 | − | 0.500031i | ||||
\(255\) | 679800. | + | 135378.i | 0.654683 | + | 0.130376i | ||||
\(256\) | −1.01841e6 | + | 249710.i | −0.971230 | + | 0.238142i | ||||
\(257\) | 1.84699e6i | 1.74434i | 0.489204 | + | 0.872170i | \(0.337287\pi\) | ||||
−0.489204 | + | 0.872170i | \(0.662713\pi\) | |||||||
\(258\) | −1.07146e6 | + | 482028.i | −1.00213 | + | 0.450841i | ||||
\(259\) | 181004. | + | 181004.i | 0.167664 | + | 0.167664i | ||||
\(260\) | 29939.4 | + | 39470.2i | 0.0274669 | + | 0.0362106i | ||||
\(261\) | 5780.16 | − | 5780.16i | 0.00525217 | − | 0.00525217i | ||||
\(262\) | −684603. | − | 259754.i | −0.616149 | − | 0.233781i | ||||
\(263\) | −1.91938e6 | −1.71109 | −0.855543 | − | 0.517732i | \(-0.826776\pi\) | ||||
−0.855543 | + | 0.517732i | \(0.826776\pi\) | |||||||
\(264\) | 906654. | + | 282976.i | 0.800630 | + | 0.249884i | ||||
\(265\) | −726758. | − | 144729.i | −0.635733 | − | 0.126602i | ||||
\(266\) | −114295. | − | 43366.1i | −0.0990428 | − | 0.0375791i | ||||
\(267\) | 1.29728e6 | + | 1.29728e6i | 1.11367 | + | 1.11367i | ||||
\(268\) | −14802.4 | − | 245946.i | −0.0125891 | − | 0.209172i | ||||
\(269\) | 918645. | + | 918645.i | 0.774046 | + | 0.774046i | 0.978811 | − | 0.204765i | \(-0.0656429\pi\) |
−0.204765 | + | 0.978811i | \(0.565643\pi\) | |||||||
\(270\) | 1.25382e6 | − | 288530.i | 1.04671 | − | 0.240870i | ||||
\(271\) | −879383. | −0.727369 | −0.363685 | − | 0.931522i | \(-0.618481\pi\) | ||||
−0.363685 | + | 0.931522i | \(0.618481\pi\) | |||||||
\(272\) | −906008. | + | 109454.i | −0.742523 | + | 0.0897033i | ||||
\(273\) | 17616.1i | 0.0143055i | ||||||||
\(274\) | −1.18298e6 | + | 532199.i | −0.951918 | + | 0.428251i | ||||
\(275\) | 450507. | + | 1.08899e6i | 0.359227 | + | 0.868344i | ||||
\(276\) | −42110.7 | − | 699680.i | −0.0332751 | − | 0.552875i | ||||
\(277\) | 1.51409e6 | + | 1.51409e6i | 1.18564 | + | 1.18564i | 0.978261 | + | 0.207378i | \(0.0664931\pi\) |
0.207378 | + | 0.978261i | \(0.433507\pi\) | |||||||
\(278\) | 453464. | − | 1.19514e6i | 0.351909 | − | 0.927486i | ||||
\(279\) | − | 159949.i | − | 0.123019i | ||||||
\(280\) | −130652. | − | 443816.i | −0.0995916 | − | 0.338305i | ||||
\(281\) | − | 458222.i | − | 0.346187i | −0.984905 | − | 0.173093i | \(-0.944624\pi\) | ||
0.984905 | − | 0.173093i | \(-0.0553763\pi\) | |||||||
\(282\) | −282094. | − | 107033.i | −0.211238 | − | 0.0801484i | ||||
\(283\) | 56631.6 | + | 56631.6i | 0.0420332 | + | 0.0420332i | 0.727811 | − | 0.685778i | \(-0.240538\pi\) |
−0.685778 | + | 0.727811i | \(0.740538\pi\) | |||||||
\(284\) | 1.93706e6 | + | 1.71713e6i | 1.42511 | + | 1.26330i | ||||
\(285\) | 305715. | − | 204174.i | 0.222948 | − | 0.148898i | ||||
\(286\) | 24239.0 | + | 53878.6i | 0.0175226 | + | 0.0389494i | ||||
\(287\) | 448792.i | 0.321618i | ||||||||
\(288\) | −245128. | + | 147932.i | −0.174145 | + | 0.105095i | ||||
\(289\) | 625608. | 0.440613 | ||||||||
\(290\) | 50967.4 | − | 11728.7i | 0.0355875 | − | 0.00818945i | ||||
\(291\) | −731366. | − | 731366.i | −0.506293 | − | 0.506293i | ||||
\(292\) | −1.52360e6 | + | 1.71874e6i | −1.04572 | + | 1.17965i | ||||
\(293\) | −513676. | − | 513676.i | −0.349559 | − | 0.349559i | 0.510386 | − | 0.859945i | \(-0.329502\pi\) |
−0.859945 | + | 0.510386i | \(0.829502\pi\) | |||||||
\(294\) | −410892. | + | 1.08294e6i | −0.277242 | + | 0.730694i | ||||
\(295\) | −865.984 | + | 4348.54i | −0.000579369 | + | 0.00290930i | ||||
\(296\) | 897633. | − | 470595.i | 0.595483 | − | 0.312190i | ||||
\(297\) | 1.53433e6 | 1.00931 | ||||||||
\(298\) | 287255. | − | 757083.i | 0.187381 | − | 0.493859i | ||||
\(299\) | 30830.6 | − | 30830.6i | 0.0199436 | − | 0.0199436i | ||||
\(300\) | 1.31486e6 | + | 454831.i | 0.843486 | + | 0.291774i | ||||
\(301\) | 482597. | + | 482597.i | 0.307021 | + | 0.307021i | ||||
\(302\) | −523197. | − | 1.16297e6i | −0.330102 | − | 0.733752i | ||||
\(303\) | 1.87929e6i | 1.17595i | ||||||||
\(304\) | −298730. | + | 380827.i | −0.185394 | + | 0.236343i | ||||
\(305\) | 1.61101e6 | + | 320823.i | 0.991630 | + | 0.197477i | ||||
\(306\) | −227241. | + | 102232.i | −0.138734 | + | 0.0624140i | ||||
\(307\) | −56934.5 | + | 56934.5i | −0.0344770 | + | 0.0344770i | −0.724135 | − | 0.689658i | \(-0.757761\pi\) |
0.689658 | + | 0.724135i | \(0.257761\pi\) | |||||||
\(308\) | −33146.4 | − | 550736.i | −0.0199095 | − | 0.330801i | ||||
\(309\) | 550134. | − | 550134.i | 0.327772 | − | 0.327772i | ||||
\(310\) | 542908. | − | 867465.i | 0.320865 | − | 0.512681i | ||||
\(311\) | 2.10238e6i | 1.23257i | 0.787524 | + | 0.616284i | \(0.211362\pi\) | ||||
−0.787524 | + | 0.616284i | \(0.788638\pi\) | |||||||
\(312\) | 66580.9 | + | 20780.5i | 0.0387225 | + | 0.0120857i | ||||
\(313\) | 1.37805e6 | 0.795065 | 0.397533 | − | 0.917588i | \(-0.369867\pi\) | ||||
0.397533 | + | 0.917588i | \(0.369867\pi\) | |||||||
\(314\) | −868340. | + | 2.28858e6i | −0.497011 | + | 1.30991i | ||||
\(315\) | −70158.0 | − | 105049.i | −0.0398383 | − | 0.0596509i | ||||
\(316\) | −1.99176e6 | + | 2.24686e6i | −1.12207 | + | 1.26578i | ||||
\(317\) | 170609. | − | 170609.i | 0.0953574 | − | 0.0953574i | −0.657819 | − | 0.753176i | \(-0.728521\pi\) |
0.753176 | + | 0.657819i | \(0.228521\pi\) | |||||||
\(318\) | −951447. | + | 428039.i | −0.527615 | + | 0.237364i | ||||
\(319\) | 62370.0 | 0.0343162 | ||||||||
\(320\) | −1.83155e6 | − | 29733.3i | −0.999868 | − | 0.0162319i | ||||
\(321\) | −2.59235e6 | −1.40420 | ||||||||
\(322\) | −371333. | + | 167056.i | −0.199583 | + | 0.0897888i | ||||
\(323\) | −297866. | + | 297866.i | −0.158860 | + | 0.158860i | ||||
\(324\) | 946636. | − | 1.06788e6i | 0.500980 | − | 0.565145i | ||||
\(325\) | 33083.3 | + | 79970.8i | 0.0173740 | + | 0.0419975i | ||||
\(326\) | −696474. | + | 1.83562e6i | −0.362962 | + | 0.956616i | ||||
\(327\) | 1.77062e6 | 0.915705 | ||||||||
\(328\) | 1.69623e6 | + | 529410.i | 0.870562 | + | 0.271711i | ||||
\(329\) | 175268.i | 0.0892714i | ||||||||
\(330\) | 1.40647e6 | + | 880245.i | 0.710959 | + | 0.444958i | ||||
\(331\) | 5862.91 | − | 5862.91i | 0.00294133 | − | 0.00294133i | −0.705635 | − | 0.708576i | \(-0.749338\pi\) |
0.708576 | + | 0.705635i | \(0.249338\pi\) | |||||||
\(332\) | −161338. | − | 2.68067e6i | −0.0803324 | − | 1.33474i | ||||
\(333\) | 195680. | − | 195680.i | 0.0967019 | − | 0.0967019i | ||||
\(334\) | 857237. | − | 385655.i | 0.420470 | − | 0.189162i | ||||
\(335\) | 84066.1 | − | 422138.i | 0.0409269 | − | 0.205515i | ||||
\(336\) | −512500. | − | 402018.i | −0.247654 | − | 0.194266i | ||||
\(337\) | − | 1.59074e6i | − | 0.763001i | −0.924369 | − | 0.381501i | \(-0.875407\pi\) | ||
0.924369 | − | 0.381501i | \(-0.124593\pi\) | |||||||
\(338\) | −859941. | − | 1.91148e6i | −0.409428 | − | 0.910078i | ||||
\(339\) | −2.32180e6 | − | 2.32180e6i | −1.09730 | − | 1.09730i | ||||
\(340\) | −1.57942e6 | − | 216873.i | −0.740969 | − | 0.101744i | ||||
\(341\) | 862953. | − | 862953.i | 0.401884 | − | 0.401884i | ||||
\(342\) | −46882.1 | + | 123562.i | −0.0216741 | + | 0.0571240i | ||||
\(343\) | 1.44125e6 | 0.661459 | ||||||||
\(344\) | 2.39328e6 | − | 1.25471e6i | 1.09043 | − | 0.571672i | ||||
\(345\) | 239156. | − | 1.20092e6i | 0.108177 | − | 0.543209i | ||||
\(346\) | 649643. | − | 1.71219e6i | 0.291732 | − | 0.768884i | ||||
\(347\) | −960548. | − | 960548.i | −0.428248 | − | 0.428248i | 0.459783 | − | 0.888031i | \(-0.347927\pi\) |
−0.888031 | + | 0.459783i | \(0.847927\pi\) | |||||||
\(348\) | 48844.2 | − | 55100.1i | 0.0216204 | − | 0.0243896i | ||||
\(349\) | −22410.1 | − | 22410.1i | −0.00984875 | − | 0.00984875i | 0.702165 | − | 0.712014i | \(-0.252217\pi\) |
−0.712014 | + | 0.702165i | \(0.752217\pi\) | |||||||
\(350\) | −23929.1 | − | 807858.i | −0.0104414 | − | 0.352505i | ||||
\(351\) | 112674. | 0.0488155 | ||||||||
\(352\) | −2.12063e6 | − | 524388.i | −0.912239 | − | 0.225578i | ||||
\(353\) | 606408.i | 0.259017i | 0.991578 | + | 0.129508i | \(0.0413399\pi\) | ||||
−0.991578 | + | 0.129508i | \(0.958660\pi\) | |||||||
\(354\) | 2561.16 | + | 5692.97i | 0.00108625 | + | 0.00241452i | ||||
\(355\) | 2.51149e6 | + | 3.76051e6i | 1.05769 | + | 1.58371i | ||||
\(356\) | −3.15759e6 | − | 2.79909e6i | −1.32048 | − | 1.17055i | ||||
\(357\) | −400855. | − | 400855.i | −0.166463 | − | 0.166463i | ||||
\(358\) | 609677. | + | 231325.i | 0.251415 | + | 0.0953928i | ||||
\(359\) | − | 3.78207e6i | − | 1.54879i | −0.632701 | − | 0.774396i | \(-0.718054\pi\) | ||
0.632701 | − | 0.774396i | \(-0.281946\pi\) | |||||||
\(360\) | −479800. | + | 141245.i | −0.195121 | + | 0.0574405i | ||||
\(361\) | − | 2.25268e6i | − | 0.909771i | ||||||
\(362\) | 52694.7 | − | 138881.i | 0.0211347 | − | 0.0557021i | ||||
\(363\) | −185274. | − | 185274.i | −0.0737985 | − | 0.0737985i | ||||
\(364\) | −2434.13 | − | 40443.7i | −0.000962921 | − | 0.0159992i | ||||
\(365\) | −3.33669e6 | + | 2.22843e6i | −1.31094 | + | 0.875521i | ||||
\(366\) | 2.10909e6 | − | 948840.i | 0.822985 | − | 0.370246i | ||||
\(367\) | − | 1.70291e6i | − | 0.659972i | −0.943986 | − | 0.329986i | \(-0.892956\pi\) | ||
0.943986 | − | 0.329986i | \(-0.107044\pi\) | |||||||
\(368\) | 193359. | + | 1.60053e6i | 0.0744294 | + | 0.616092i | ||||
\(369\) | 485179. | 0.185496 | ||||||||
\(370\) | 1.72543e6 | − | 397060.i | 0.655231 | − | 0.150783i | ||||
\(371\) | 428544. | + | 428544.i | 0.161644 | + | 0.161644i | ||||
\(372\) | −86557.5 | − | 1.43818e6i | −0.0324300 | − | 0.538834i | ||||
\(373\) | 1.09224e6 | + | 1.09224e6i | 0.406486 | + | 0.406486i | 0.880511 | − | 0.474026i | \(-0.157200\pi\) |
−0.474026 | + | 0.880511i | \(0.657200\pi\) | |||||||
\(374\) | −1.77757e6 | − | 674449.i | −0.657123 | − | 0.249328i | ||||
\(375\) | 2.02000e6 | + | 1.35167e6i | 0.741776 | + | 0.496355i | ||||
\(376\) | 662432. | + | 206752.i | 0.241642 | + | 0.0754188i | ||||
\(377\) | 4580.19 | 0.00165970 | ||||||||
\(378\) | −983805. | − | 373278.i | −0.354144 | − | 0.134370i | ||||
\(379\) | −183853. | + | 183853.i | −0.0657464 | + | 0.0657464i | −0.739215 | − | 0.673469i | \(-0.764803\pi\) |
0.673469 | + | 0.739215i | \(0.264803\pi\) | |||||||
\(380\) | −673660. | + | 510993.i | −0.239322 | + | 0.181533i | ||||
\(381\) | −980478. | − | 980478.i | −0.346039 | − | 0.346039i | ||||
\(382\) | −1.13110e6 | + | 508864.i | −0.396593 | + | 0.178420i | ||||
\(383\) | 4.47493e6i | 1.55880i | 0.626528 | + | 0.779399i | \(0.284475\pi\) | ||||
−0.626528 | + | 0.779399i | \(0.715525\pi\) | |||||||
\(384\) | −2.12401e6 | + | 1.46278e6i | −0.735069 | + | 0.506235i | ||||
\(385\) | 188245. | − | 945275.i | 0.0647251 | − | 0.325017i | ||||
\(386\) | −1.80455e6 | − | 4.01117e6i | −0.616455 | − | 1.37026i | ||||
\(387\) | 521725. | − | 521725.i | 0.177078 | − | 0.177078i | ||||
\(388\) | 1.78016e6 | + | 1.57804e6i | 0.600314 | + | 0.532156i | ||||
\(389\) | −1.18500e6 | + | 1.18500e6i | −0.397048 | + | 0.397048i | −0.877191 | − | 0.480142i | \(-0.840585\pi\) |
0.480142 | + | 0.877191i | \(0.340585\pi\) | |||||||
\(390\) | 103285. | + | 64641.5i | 0.0343855 | + | 0.0215204i | ||||
\(391\) | 1.40310e6i | 0.464139i | ||||||||
\(392\) | 793705. | − | 2.54303e6i | 0.260882 | − | 0.835865i | ||||
\(393\) | −1.80091e6 | −0.588182 | ||||||||
\(394\) | 2.08357e6 | + | 790553.i | 0.676187 | + | 0.256561i | ||||
\(395\) | −4.36195e6 | + | 2.91316e6i | −1.40666 | + | 0.939445i | ||||
\(396\) | −595388. | + | 35833.8i | −0.190793 | + | 0.0114830i | ||||
\(397\) | −3.27272e6 | + | 3.27272e6i | −1.04216 | + | 1.04216i | −0.0430842 | + | 0.999071i | \(0.513718\pi\) |
−0.999071 | + | 0.0430842i | \(0.986282\pi\) | |||||||
\(398\) | 1.73324e6 | + | 3.85266e6i | 0.548468 | + | 1.21914i | ||||
\(399\) | −300664. | −0.0945472 | ||||||||
\(400\) | −3.08156e6 | − | 862535.i | −0.962989 | − | 0.269542i | ||||
\(401\) | 803284. | 0.249464 | 0.124732 | − | 0.992190i | \(-0.460193\pi\) | ||||
0.124732 | + | 0.992190i | \(0.460193\pi\) | |||||||
\(402\) | −248627. | − | 552650.i | −0.0767332 | − | 0.170563i | ||||
\(403\) | 63371.6 | − | 63371.6i | 0.0194371 | − | 0.0194371i | ||||
\(404\) | −259674. | − | 4.31456e6i | −0.0791545 | − | 1.31517i | ||||
\(405\) | 2.07313e6 | − | 1.38456e6i | 0.628043 | − | 0.419443i | ||||
\(406\) | −39991.5 | − | 15173.7i | −0.0120407 | − | 0.00456852i | ||||
\(407\) | 2.11145e6 | 0.631823 | ||||||||
\(408\) | −1.98791e6 | + | 1.04219e6i | −0.591217 | + | 0.309953i | ||||
\(409\) | 2.41122e6i | 0.712737i | 0.934345 | + | 0.356369i | \(0.115985\pi\) | ||||
−0.934345 | + | 0.356369i | \(0.884015\pi\) | |||||||
\(410\) | 2.63131e6 | + | 1.64682e6i | 0.773059 | + | 0.483823i | ||||
\(411\) | −2.25597e6 | + | 2.25597e6i | −0.658761 | + | 0.658761i | ||||
\(412\) | −1.18700e6 | + | 1.33903e6i | −0.344516 | + | 0.388641i | ||||
\(413\) | 2564.19 | − | 2564.19i | 0.000739732 | − | 0.000739732i | ||||
\(414\) | 180600. | + | 401440.i | 0.0517867 | + | 0.115112i | ||||
\(415\) | 916271. | − | 4.60106e6i | 0.261158 | − | 1.31141i | ||||
\(416\) | −155730. | − | 38508.9i | −0.0441204 | − | 0.0109101i | ||||
\(417\) | − | 3.14393e6i | − | 0.885387i | ||||||
\(418\) | −919575. | + | 413700.i | −0.257422 | + | 0.115810i | ||||
\(419\) | −1.82178e6 | − | 1.82178e6i | −0.506944 | − | 0.506944i | 0.406643 | − | 0.913587i | \(-0.366699\pi\) |
−0.913587 | + | 0.406643i | \(0.866699\pi\) | |||||||
\(420\) | −687672. | − | 906582.i | −0.190221 | − | 0.250775i | ||||
\(421\) | 3.37333e6 | − | 3.37333e6i | 0.927584 | − | 0.927584i | −0.0699650 | − | 0.997549i | \(-0.522289\pi\) |
0.997549 | + | 0.0699650i | \(0.0222888\pi\) | |||||||
\(422\) | 4.11356e6 | + | 1.56078e6i | 1.12444 | + | 0.426639i | ||||
\(423\) | 189478. | 0.0514882 | ||||||||
\(424\) | 2.12523e6 | − | 1.11418e6i | 0.574104 | − | 0.300981i | ||||
\(425\) | −2.57255e6 | − | 1.06693e6i | −0.690862 | − | 0.286525i | ||||
\(426\) | 5.95256e6 | + | 2.25854e6i | 1.58921 | + | 0.602981i | ||||
\(427\) | −949959. | − | 949959.i | −0.252136 | − | 0.252136i | ||||
\(428\) | 5.95161e6 | − | 358201.i | 1.57045 | − | 0.0945187i | ||||
\(429\) | 102748. | + | 102748.i | 0.0269544 | + | 0.0269544i | ||||
\(430\) | 4.60038e6 | − | 1.05865e6i | 1.19984 | − | 0.276109i | ||||
\(431\) | 215590. | 0.0559031 | 0.0279515 | − | 0.999609i | \(-0.491102\pi\) | ||||
0.0279515 | + | 0.999609i | \(0.491102\pi\) | |||||||
\(432\) | −2.57135e6 | + | 3.27801e6i | −0.662906 | + | 0.845085i | ||||
\(433\) | − | 6.13899e6i | − | 1.57354i | −0.617247 | − | 0.786769i | \(-0.711752\pi\) | ||
0.617247 | − | 0.786769i | \(-0.288248\pi\) | |||||||
\(434\) | −763266. | + | 343379.i | −0.194514 | + | 0.0875085i | ||||
\(435\) | 106969. | − | 71439.8i | 0.0271040 | − | 0.0181016i | ||||
\(436\) | −4.06505e6 | + | 244658.i | −1.02412 | + | 0.0616372i | ||||
\(437\) | 526204. | + | 526204.i | 0.131811 | + | 0.131811i | ||||
\(438\) | −2.00399e6 | + | 5.28168e6i | −0.499126 | + | 1.31549i | ||||
\(439\) | − | 1.66663e6i | − | 0.412742i | −0.978474 | − | 0.206371i | \(-0.933835\pi\) | ||
0.978474 | − | 0.206371i | \(-0.0661654\pi\) | |||||||
\(440\) | −3.35065e6 | − | 1.82656e6i | −0.825083 | − | 0.449782i | ||||
\(441\) | − | 727392.i | − | 0.178103i | ||||||
\(442\) | −130537. | − | 49528.7i | −0.0317818 | − | 0.0120587i | ||||
\(443\) | −1.11577e6 | − | 1.11577e6i | −0.270125 | − | 0.270125i | 0.559025 | − | 0.829150i | \(-0.311175\pi\) |
−0.829150 | + | 0.559025i | \(0.811175\pi\) | |||||||
\(444\) | 1.65356e6 | − | 1.86534e6i | 0.398072 | − | 0.449057i | ||||
\(445\) | −4.09396e6 | − | 6.13000e6i | −0.980040 | − | 1.46744i | ||||
\(446\) | 2.76246e6 | + | 6.14041e6i | 0.657595 | + | 1.46171i | ||||
\(447\) | − | 1.99158e6i | − | 0.471443i | ||||||
\(448\) | 1.23217e6 | + | 852154.i | 0.290051 | + | 0.200596i | ||||
\(449\) | 5.03585e6 | 1.17885 | 0.589423 | − | 0.807824i | \(-0.299355\pi\) | ||||
0.589423 | + | 0.807824i | \(0.299355\pi\) | |||||||
\(450\) | −873357. | + | 25869.3i | −0.203311 | + | 0.00602217i | ||||
\(451\) | 2.61763e6 | + | 2.61763e6i | 0.605991 | + | 0.605991i | ||||
\(452\) | 5.65131e6 | + | 5.00967e6i | 1.30108 | + | 1.15336i | ||||
\(453\) | −2.21781e6 | − | 2.21781e6i | −0.507783 | − | 0.507783i | ||||
\(454\) | −1.80468e6 | + | 4.75639e6i | −0.410923 | + | 1.08302i | ||||
\(455\) | 13824.0 | − | 69417.0i | 0.00313043 | − | 0.0157195i | ||||
\(456\) | −354673. | + | 1.13637e6i | −0.0798759 | + | 0.255923i | ||||
\(457\) | −6.06925e6 | −1.35939 | −0.679696 | − | 0.733494i | \(-0.737888\pi\) | ||||
−0.679696 | + | 0.733494i | \(0.737888\pi\) | |||||||
\(458\) | 2.25839e6 | − | 5.95218e6i | 0.503078 | − | 1.32590i | ||||
\(459\) | −2.56391e6 | + | 2.56391e6i | −0.568030 | + | 0.568030i | ||||
\(460\) | −383124. | + | 2.79017e6i | −0.0844199 | + | 0.614803i | ||||
\(461\) | 594321. | + | 594321.i | 0.130247 | + | 0.130247i | 0.769225 | − | 0.638978i | \(-0.220642\pi\) |
−0.638978 | + | 0.769225i | \(0.720642\pi\) | |||||||
\(462\) | −556739. | − | 1.23752e6i | −0.121352 | − | 0.269742i | ||||
\(463\) | − | 839214.i | − | 0.181937i | −0.995854 | − | 0.0909683i | \(-0.971004\pi\) | ||
0.995854 | − | 0.0909683i | \(-0.0289962\pi\) | |||||||
\(464\) | −104525. | + | 133250.i | −0.0225385 | + | 0.0287325i | ||||
\(465\) | 491579. | − | 2.46846e6i | 0.105429 | − | 0.529413i | ||||
\(466\) | 2.73994e6 | − | 1.23265e6i | 0.584489 | − | 0.262951i | ||||
\(467\) | −4.86900e6 | + | 4.86900e6i | −1.03311 | + | 1.03311i | −0.0336801 | + | 0.999433i | \(0.510723\pi\) |
−0.999433 | + | 0.0336801i | \(0.989277\pi\) | |||||||
\(468\) | −43722.8 | + | 2631.48i | −0.00922770 | + | 0.000555375i | ||||
\(469\) | −248920. | + | 248920.i | −0.0522551 | + | 0.0522551i | ||||
\(470\) | 1.02761e6 | + | 643137.i | 0.214578 | + | 0.134295i | ||||
\(471\) | 6.02033e6i | 1.25046i | ||||||||
\(472\) | −6666.66 | − | 12716.3i | −0.00137738 | − | 0.00262727i | ||||
\(473\) | 5.62960e6 | 1.15698 | ||||||||
\(474\) | −2.61975e6 | + | 6.90458e6i | −0.535568 | + | 1.41153i | ||||
\(475\) | −1.36491e6 | + | 564651.i | −0.277567 | + | 0.114828i | ||||
\(476\) | 975687. | + | 864910.i | 0.197375 | + | 0.174966i | ||||
\(477\) | 463289. | − | 463289.i | 0.0932301 | − | 0.0932301i | ||||
\(478\) | 1.80118e6 | − | 810320.i | 0.360569 | − | 0.162213i | ||||
\(479\) | −4.47829e6 | −0.891812 | −0.445906 | − | 0.895080i | \(-0.647118\pi\) | ||||
−0.445906 | + | 0.895080i | \(0.647118\pi\) | |||||||
\(480\) | −4.23767e6 | + | 1.52965e6i | −0.839506 | + | 0.303033i | ||||
\(481\) | 155056. | 0.0305581 | ||||||||
\(482\) | 7.05616e6 | − | 3.17444e6i | 1.38341 | − | 0.622370i | ||||
\(483\) | −708142. | + | 708142.i | −0.138119 | + | 0.138119i | ||||
\(484\) | 450959. | + | 399758.i | 0.0875032 | + | 0.0775683i | ||||
\(485\) | 2.30805e6 | + | 3.45591e6i | 0.445545 | + | 0.667126i | ||||
\(486\) | −738878. | + | 1.94737e6i | −0.141900 | + | 0.373989i | ||||
\(487\) | 2.53902e6 | 0.485114 | 0.242557 | − | 0.970137i | \(-0.422014\pi\) | ||||
0.242557 | + | 0.970137i | \(0.422014\pi\) | |||||||
\(488\) | −4.71102e6 | + | 2.46981e6i | −0.895499 | + | 0.469477i | ||||
\(489\) | 4.82876e6i | 0.913195i | ||||||||
\(490\) | 2.46896e6 | − | 3.94493e6i | 0.464540 | − | 0.742248i | ||||
\(491\) | −737732. | + | 737732.i | −0.138100 | + | 0.138100i | −0.772777 | − | 0.634677i | \(-0.781133\pi\) |
0.634677 | + | 0.772777i | \(0.281133\pi\) | |||||||
\(492\) | 4.36247e6 | − | 262558.i | 0.812493 | − | 0.0489004i | ||||
\(493\) | −104222. | + | 104222.i | −0.0193127 | + | 0.0193127i | ||||
\(494\) | −67529.7 | + | 30380.4i | −0.0124502 | + | 0.00560114i | ||||
\(495\) | −1.02192e6 | − | 203508.i | −0.187457 | − | 0.0373309i | ||||
\(496\) | 397444. | + | 3.28986e6i | 0.0725391 | + | 0.600445i | ||||
\(497\) | − | 3.69838e6i | − | 0.671616i | ||||||
\(498\) | −2.70989e6 | − | 6.02356e6i | −0.489642 | − | 1.08838i | ||||
\(499\) | 3.11917e6 | + | 3.11917e6i | 0.560773 | + | 0.560773i | 0.929527 | − | 0.368754i | \(-0.120216\pi\) |
−0.368754 | + | 0.929527i | \(0.620216\pi\) | |||||||
\(500\) | −4.82436e6 | − | 2.82410e6i | −0.863008 | − | 0.505190i | ||||
\(501\) | 1.63477e6 | − | 1.63477e6i | 0.290980 | − | 0.290980i | ||||
\(502\) | −3.34323e6 | + | 8.81136e6i | −0.592116 | + | 1.56057i | ||||
\(503\) | −2.07775e6 | −0.366162 | −0.183081 | − | 0.983098i | \(-0.558607\pi\) | ||||
−0.183081 | + | 0.983098i | \(0.558607\pi\) | |||||||
\(504\) | 390479. | + | 121872.i | 0.0684733 | + | 0.0213712i | ||||
\(505\) | 1.47475e6 | − | 7.40544e6i | 0.257329 | − | 1.29218i | ||||
\(506\) | −1.19147e6 | + | 3.14021e6i | −0.206874 | + | 0.545234i | ||||
\(507\) | −3.64525e6 | − | 3.64525e6i | −0.629806 | − | 0.629806i | ||||
\(508\) | 2.38650e6 | + | 2.11554e6i | 0.410301 | + | 0.363716i | ||||
\(509\) | 6.88149e6 | + | 6.88149e6i | 1.17730 | + | 1.17730i | 0.980429 | + | 0.196874i | \(0.0630791\pi\) |
0.196874 | + | 0.980429i | \(0.436921\pi\) | |||||||
\(510\) | −3.82117e6 | + | 879334.i | −0.650536 | + | 0.149702i | ||||
\(511\) | 3.28156e6 | 0.555939 | ||||||||
\(512\) | 4.67426e6 | − | 3.65180e6i | 0.788021 | − | 0.615648i | ||||
\(513\) | 1.92308e6i | 0.322629i | ||||||||
\(514\) | −4.28661e6 | − | 9.52830e6i | −0.715659 | − | 1.59077i | ||||
\(515\) | −2.59954e6 | + | 1.73612e6i | −0.431895 | + | 0.288444i | ||||
\(516\) | 4.40874e6 | − | 4.97341e6i | 0.728937 | − | 0.822299i | ||||
\(517\) | 1.02227e6 | + | 1.02227e6i | 0.168205 | + | 0.168205i | ||||
\(518\) | −1.35386e6 | − | 513685.i | −0.221691 | − | 0.0841148i | ||||
\(519\) | − | 4.50407e6i | − | 0.733985i | ||||||
\(520\) | −246058. | − | 134135.i | −0.0399051 | − | 0.0217537i | ||||
\(521\) | 1.13246e6i | 0.182779i | 0.995815 | + | 0.0913896i | \(0.0291309\pi\) | ||||
−0.995815 | + | 0.0913896i | \(0.970869\pi\) | |||||||
\(522\) | −16403.9 | + | 43233.9i | −0.00263494 | + | 0.00694461i | ||||
\(523\) | −514139. | − | 514139.i | −0.0821913 | − | 0.0821913i | 0.664816 | − | 0.747007i | \(-0.268510\pi\) |
−0.747007 | + | 0.664816i | \(0.768510\pi\) | |||||||
\(524\) | 4.13461e6 | − | 248844.i | 0.657819 | − | 0.0395912i | ||||
\(525\) | −759883. | − | 1.83683e6i | −0.120323 | − | 0.290851i | ||||
\(526\) | 9.90177e6 | − | 4.45462e6i | 1.56044 | − | 0.702016i | ||||
\(527\) | 2.88405e6i | 0.452351i | ||||||||
\(528\) | −5.33403e6 | + | 644398.i | −0.832665 | + | 0.100593i | ||||
\(529\) | −3.95765e6 | −0.614891 | ||||||||
\(530\) | 4.08512e6 | − | 940074.i | 0.631706 | − | 0.145369i | ||||
\(531\) | −2772.08 | − | 2772.08i | −0.000426648 | − | 0.000426648i | ||||
\(532\) | 690276. | − | 41544.7i | 0.105741 | − | 0.00636409i | ||||
\(533\) | 192227. | + | 192227.i | 0.0293088 | + | 0.0293088i | ||||
\(534\) | −9.70325e6 | − | 3.68163e6i | −1.47253 | − | 0.558711i | ||||
\(535\) | 1.02153e7 | + | 2.03430e6i | 1.54300 | + | 0.307278i | ||||
\(536\) | 647171. | + | 1.23444e6i | 0.0972988 | + | 0.185592i | ||||
\(537\) | 1.60381e6 | 0.240004 | ||||||||
\(538\) | −6.87119e6 | − | 2.60709e6i | −1.02347 | − | 0.388329i | ||||
\(539\) | 3.92441e6 | − | 3.92441e6i | 0.581839 | − | 0.581839i | ||||
\(540\) | −5.79860e6 | + | 4.39842e6i | −0.855734 | + | 0.649102i | ||||
\(541\) | 620582. | + | 620582.i | 0.0911603 | + | 0.0911603i | 0.751216 | − | 0.660056i | \(-0.229467\pi\) |
−0.660056 | + | 0.751216i | \(0.729467\pi\) | |||||||
\(542\) | 4.53659e6 | − | 2.04093e6i | 0.663333 | − | 0.298421i | ||||
\(543\) | − | 365340.i | − | 0.0531738i | ||||||
\(544\) | 4.41992e6 | − | 2.66738e6i | 0.640349 | − | 0.386445i | ||||
\(545\) | −6.97720e6 | − | 1.38946e6i | −1.00621 | − | 0.200381i | ||||
\(546\) | −40884.6 | − | 90878.5i | −0.00586919 | − | 0.0130461i | ||||
\(547\) | −4.19380e6 | + | 4.19380e6i | −0.599293 | + | 0.599293i | −0.940125 | − | 0.340831i | \(-0.889292\pi\) |
0.340831 | + | 0.940125i | \(0.389292\pi\) | |||||||
\(548\) | 4.86762e6 | − | 5.49106e6i | 0.692412 | − | 0.781097i | ||||
\(549\) | −1.02698e6 | + | 1.02698e6i | −0.145422 | + | 0.145422i | ||||
\(550\) | −4.85149e6 | − | 4.57235e6i | −0.683862 | − | 0.644514i | ||||
\(551\) | 78172.7i | 0.0109692i | ||||||||
\(552\) | 1.84111e6 | + | 3.51180e6i | 0.257176 | + | 0.490549i | ||||
\(553\) | 4.28988e6 | 0.596530 | ||||||||
\(554\) | −1.13249e7 | − | 4.29694e6i | −1.56770 | − | 0.594819i | ||||
\(555\) | 3.62129e6 | − | 2.41850e6i | 0.499034 | − | 0.333284i | ||||
\(556\) | 434418. | + | 7.21797e6i | 0.0595965 | + | 0.990212i | ||||
\(557\) | −6.14757e6 | + | 6.14757e6i | −0.839587 | + | 0.839587i | −0.988804 | − | 0.149218i | \(-0.952325\pi\) |
0.149218 | + | 0.988804i | \(0.452325\pi\) | |||||||
\(558\) | 371220. | + | 825150.i | 0.0504714 | + | 0.112188i | ||||
\(559\) | 413414. | 0.0559572 | ||||||||
\(560\) | 1.70405e6 | + | 1.98635e6i | 0.229622 | + | 0.267661i | ||||
\(561\) | −4.67606e6 | −0.627296 | ||||||||
\(562\) | 1.06347e6 | + | 2.36389e6i | 0.142032 | + | 0.315709i | ||||
\(563\) | 2.47689e6 | − | 2.47689e6i | 0.329334 | − | 0.329334i | −0.522999 | − | 0.852333i | \(-0.675187\pi\) |
0.852333 | + | 0.522999i | \(0.175187\pi\) | |||||||
\(564\) | 1.70369e6 | − | 102537.i | 0.225524 | − | 0.0135733i | ||||
\(565\) | 7.32718e6 | + | 1.09712e7i | 0.965641 | + | 1.44588i | ||||
\(566\) | −423587. | − | 160719.i | −0.0555778 | − | 0.0210875i | ||||
\(567\) | −2.03888e6 | −0.266338 | ||||||||
\(568\) | −1.39782e7 | − | 4.36274e6i | −1.81794 | − | 0.567398i | ||||
\(569\) | 5.46045e6i | 0.707046i | 0.935426 | + | 0.353523i | \(0.115016\pi\) | ||||
−0.935426 | + | 0.353523i | \(0.884984\pi\) | |||||||
\(570\) | −1.10327e6 | + | 1.76282e6i | −0.142231 | + | 0.227259i | ||||
\(571\) | 6.07331e6 | − | 6.07331e6i | 0.779535 | − | 0.779535i | −0.200217 | − | 0.979752i | \(-0.564165\pi\) |
0.979752 | + | 0.200217i | \(0.0641647\pi\) | |||||||
\(572\) | −250090. | − | 221695.i | −0.0319599 | − | 0.0283313i | ||||
\(573\) | −2.15705e6 | + | 2.15705e6i | −0.274456 | + | 0.274456i | ||||
\(574\) | −1.04159e6 | − | 2.31524e6i | −0.131952 | − | 0.293303i | ||||
\(575\) | −1.88481e6 | + | 4.54461e6i | −0.237737 | + | 0.573228i | ||||
\(576\) | 921244. | − | 1.33207e6i | 0.115696 | − | 0.167290i | ||||
\(577\) | − | 2.28995e6i | − | 0.286342i | −0.989698 | − | 0.143171i | \(-0.954270\pi\) | ||
0.989698 | − | 0.143171i | \(-0.0457300\pi\) | |||||||
\(578\) | −3.22741e6 | + | 1.45195e6i | −0.401822 | + | 0.180773i | ||||
\(579\) | −7.64941e6 | − | 7.64941e6i | −0.948269 | − | 0.948269i | ||||
\(580\) | −235712. | + | 178795.i | −0.0290945 | + | 0.0220691i | ||||
\(581\) | −2.71309e6 | + | 2.71309e6i | −0.333444 | + | 0.333444i | ||||
\(582\) | 5.47040e6 | + | 2.07559e6i | 0.669440 | + | 0.254001i | ||||
\(583\) | 4.99906e6 | 0.609139 | ||||||||
\(584\) | 3.87103e6 | − | 1.24028e7i | 0.469672 | − | 1.50483i | ||||
\(585\) | −75045.2 | − | 14944.8i | −0.00906637 | − | 0.00180551i | ||||
\(586\) | 3.84214e6 | + | 1.45780e6i | 0.462200 | + | 0.175369i | ||||
\(587\) | −4.89101e6 | − | 4.89101e6i | −0.585872 | − | 0.585872i | 0.350639 | − | 0.936511i | \(-0.385965\pi\) |
−0.936511 | + | 0.350639i | \(0.885965\pi\) | |||||||
\(588\) | −393634. | − | 6.54033e6i | −0.0469515 | − | 0.780111i | ||||
\(589\) | 1.08160e6 | + | 1.08160e6i | 0.128463 | + | 0.128463i | ||||
\(590\) | −5624.92 | − | 24443.3i | −0.000665252 | − | 0.00289087i | ||||
\(591\) | 5.48102e6 | 0.645495 | ||||||||
\(592\) | −3.53855e6 | + | 4.51101e6i | −0.414974 | + | 0.529017i | ||||
\(593\) | 4.74292e6i | 0.553871i | 0.960888 | + | 0.276936i | \(0.0893189\pi\) | ||||
−0.960888 | + | 0.276936i | \(0.910681\pi\) | |||||||
\(594\) | −7.91534e6 | + | 3.56097e6i | −0.920457 | + | 0.414097i | ||||
\(595\) | 1.26502e6 | + | 1.89415e6i | 0.146489 | + | 0.219342i | ||||
\(596\) | 275190. | + | 4.57235e6i | 0.0317334 | + | 0.527259i | ||||
\(597\) | 7.34711e6 | + | 7.34711e6i | 0.843686 | + | 0.843686i | ||||
\(598\) | −87496.4 | + | 230604.i | −0.0100055 | + | 0.0263702i | ||||
\(599\) | − | 1.07209e7i | − | 1.22085i | −0.792074 | − | 0.610426i | \(-0.790998\pi\) | ||
0.792074 | − | 0.610426i | \(-0.209002\pi\) | |||||||
\(600\) | −7.83877e6 | + | 705226.i | −0.888934 | + | 0.0799743i | ||||
\(601\) | − | 7.05198e6i | − | 0.796388i | −0.917301 | − | 0.398194i | \(-0.869637\pi\) | ||
0.917301 | − | 0.398194i | \(-0.130363\pi\) | |||||||
\(602\) | −3.60968e6 | − | 1.36959e6i | −0.405955 | − | 0.154028i | ||||
\(603\) | 269102. | + | 269102.i | 0.0301387 | + | 0.0301387i | ||||
\(604\) | 5.39817e6 | + | 4.78528e6i | 0.602080 | + | 0.533722i | ||||
\(605\) | 584689. | + | 875471.i | 0.0649436 | + | 0.0972418i | ||||
\(606\) | −4.36159e6 | − | 9.69497e6i | −0.482462 | − | 1.07242i | ||||
\(607\) | 2.89512e6i | 0.318930i | 0.987204 | + | 0.159465i | \(0.0509769\pi\) | ||||
−0.987204 | + | 0.159465i | \(0.949023\pi\) | |||||||
\(608\) | 657252. | − | 2.65794e6i | 0.0721063 | − | 0.291599i | ||||
\(609\) | −105201. | −0.0114942 | ||||||||
\(610\) | −9.05554e6 | + | 2.08388e6i | −0.985349 | + | 0.226750i | ||||
\(611\) | 75071.1 | + | 75071.1i | 0.00813522 | + | 0.00813522i | ||||
\(612\) | 935034. | − | 1.05479e6i | 0.100913 | − | 0.113838i | ||||
\(613\) | −7.14700e6 | − | 7.14700e6i | −0.768197 | − | 0.768197i | 0.209592 | − | 0.977789i | \(-0.432787\pi\) |
−0.977789 | + | 0.209592i | \(0.932787\pi\) | |||||||
\(614\) | 161578. | − | 425853.i | 0.0172967 | − | 0.0455868i | ||||
\(615\) | 7.48768e6 | + | 1.49112e6i | 0.798288 | + | 0.158974i | ||||
\(616\) | 1.44918e6 | + | 2.76423e6i | 0.153876 | + | 0.293509i | ||||
\(617\) | −9.19849e6 | −0.972756 | −0.486378 | − | 0.873749i | \(-0.661682\pi\) | ||||
−0.486378 | + | 0.873749i | \(0.661682\pi\) | |||||||
\(618\) | −1.56126e6 | + | 4.11484e6i | −0.164439 | + | 0.433392i | ||||
\(619\) | 7.47005e6 | − | 7.47005e6i | 0.783604 | − | 0.783604i | −0.196833 | − | 0.980437i | \(-0.563066\pi\) |
0.980437 | + | 0.196833i | \(0.0630656\pi\) | |||||||
\(620\) | −787502. | + | 5.73512e6i | −0.0822759 | + | 0.599189i | ||||
\(621\) | 4.52935e6 | + | 4.52935e6i | 0.471310 | + | 0.471310i | ||||
\(622\) | −4.87935e6 | − | 1.08458e7i | −0.505692 | − | 1.12405i | ||||
\(623\) | 6.02872e6i | 0.622307i | ||||||||
\(624\) | −391709. | + | 47321.9i | −0.0402718 | + | 0.00486520i | ||||
\(625\) | −6.89919e6 | − | 6.91148e6i | −0.706478 | − | 0.707735i | ||||
\(626\) | −7.10911e6 | + | 3.19826e6i | −0.725069 | + | 0.326195i | ||||
\(627\) | −1.75365e6 | + | 1.75365e6i | −0.178146 | + | 0.178146i | ||||
\(628\) | −831869. | − | 1.38217e7i | −0.0841697 | − | 1.39850i | ||||
\(629\) | −3.52831e6 | + | 3.52831e6i | −0.355583 | + | 0.355583i | ||||
\(630\) | 605739. | + | 379105.i | 0.0608043 | + | 0.0380547i | ||||
\(631\) | − | 8.70748e6i | − | 0.870601i | −0.900285 | − | 0.435301i | \(-0.856642\pi\) | ||
0.900285 | − | 0.435301i | \(-0.143358\pi\) | |||||||
\(632\) | 5.06048e6 | − | 1.62138e7i | 0.503964 | − | 1.61470i | ||||
\(633\) | 1.08211e7 | 1.07340 | ||||||||
\(634\) | −484184. | + | 1.27611e6i | −0.0478395 | + | 0.126085i | ||||
\(635\) | 3.09421e6 | + | 4.63304e6i | 0.304519 | + | 0.455965i | ||||
\(636\) | 3.91494e6 | − | 4.41636e6i | 0.383780 | − | 0.432934i | ||||
\(637\) | 288192. | − | 288192.i | 0.0281406 | − | 0.0281406i | ||||
\(638\) | −321757. | + | 144752.i | −0.0312951 | + | 0.0140791i | ||||
\(639\) | −3.99824e6 | −0.387361 | ||||||||
\(640\) | 9.51765e6 | − | 4.09738e6i | 0.918501 | − | 0.395418i | ||||
\(641\) | 5.66186e6 | 0.544270 | 0.272135 | − | 0.962259i | \(-0.412270\pi\) | ||||
0.272135 | + | 0.962259i | \(0.412270\pi\) | |||||||
\(642\) | 1.33735e7 | − | 6.01649e6i | 1.28058 | − | 0.576110i | ||||
\(643\) | 1.17379e7 | − | 1.17379e7i | 1.11960 | − | 1.11960i | 0.127795 | − | 0.991801i | \(-0.459210\pi\) |
0.991801 | − | 0.127795i | \(-0.0407901\pi\) | |||||||
\(644\) | 1.52793e6 | − | 1.72363e6i | 0.145174 | − | 0.163768i | ||||
\(645\) | 9.65513e6 | − | 6.44825e6i | 0.913817 | − | 0.610299i | ||||
\(646\) | 845334. | − | 2.22795e6i | 0.0796979 | − | 0.210050i | ||||
\(647\) | 1.20318e6 | 0.112997 | 0.0564987 | − | 0.998403i | \(-0.482006\pi\) | ||||
0.0564987 | + | 0.998403i | \(0.482006\pi\) | |||||||
\(648\) | −2.40513e6 | + | 7.70603e6i | −0.225010 | + | 0.720930i | ||||
\(649\) | − | 29911.8i | − | 0.00278760i | ||||||
\(650\) | −356273. | − | 335774.i | −0.0330750 | − | 0.0311719i | ||||
\(651\) | −1.45557e6 | + | 1.45557e6i | −0.134611 | + | 0.134611i | ||||
\(652\) | −667222. | − | 1.10861e7i | −0.0614683 | − | 1.02131i | ||||
\(653\) | −6.68968e6 | + | 6.68968e6i | −0.613935 | + | 0.613935i | −0.943969 | − | 0.330034i | \(-0.892940\pi\) |
0.330034 | + | 0.943969i | \(0.392940\pi\) | |||||||
\(654\) | −9.13433e6 | + | 4.10937e6i | −0.835088 | + | 0.375691i | ||||
\(655\) | 7.09659e6 | + | 1.41324e6i | 0.646318 | + | 0.128710i | ||||
\(656\) | −9.97925e6 | + | 1.20558e6i | −0.905396 | + | 0.109380i | ||||
\(657\) | − | 3.54762e6i | − | 0.320644i | ||||||
\(658\) | −406773. | − | 904177.i | −0.0366258 | − | 0.0814121i | ||||
\(659\) | −5.09399e6 | − | 5.09399e6i | −0.456924 | − | 0.456924i | 0.440720 | − | 0.897645i | \(-0.354723\pi\) |
−0.897645 | + | 0.440720i | \(0.854723\pi\) | |||||||
\(660\) | −9.29866e6 | − | 1.27682e6i | −0.830923 | − | 0.114096i | ||||
\(661\) | −6.61294e6 | + | 6.61294e6i | −0.588696 | + | 0.588696i | −0.937278 | − | 0.348582i | \(-0.886663\pi\) |
0.348582 | + | 0.937278i | \(0.386663\pi\) | |||||||
\(662\) | −16638.8 | + | 43852.8i | −0.00147563 | + | 0.00388913i | ||||
\(663\) | −343390. | −0.0303392 | ||||||||
\(664\) | 7.05379e6 | + | 1.34547e7i | 0.620872 | + | 1.18428i | ||||
\(665\) | 1.18478e6 | + | 235941.i | 0.103892 | + | 0.0206895i | ||||
\(666\) | −555333. | + | 1.46363e6i | −0.0485141 | + | 0.127863i | ||||
\(667\) | 184117. | + | 184117.i | 0.0160243 | + | 0.0160243i | ||||
\(668\) | −3.52729e6 | + | 3.97906e6i | −0.305844 | + | 0.345016i | ||||
\(669\) | 1.17099e7 | + | 1.17099e7i | 1.01155 | + | 1.01155i | ||||
\(670\) | 546043. | + | 2.37285e6i | 0.0469938 | + | 0.204213i | ||||
\(671\) | −1.10815e7 | −0.950149 | ||||||||
\(672\) | 3.57693e6 | + | 884501.i | 0.305554 | + | 0.0755571i | ||||
\(673\) | 1.72503e7i | 1.46811i | 0.679089 | + | 0.734056i | \(0.262375\pi\) | ||||
−0.679089 | + | 0.734056i | \(0.737625\pi\) | |||||||
\(674\) | 3.69190e6 | + | 8.20638e6i | 0.313040 | + | 0.695828i | ||||
\(675\) | −1.17486e7 | + | 4.86030e6i | −0.992488 | + | 0.410585i | ||||
\(676\) | 8.87259e6 | + | 7.86522e6i | 0.746765 | + | 0.661979i | ||||
\(677\) | −9.55582e6 | − | 9.55582e6i | −0.801302 | − | 0.801302i | 0.181997 | − | 0.983299i | \(-0.441744\pi\) |
−0.983299 | + | 0.181997i | \(0.941744\pi\) | |||||||
\(678\) | 1.73664e7 | + | 6.58921e6i | 1.45089 | + | 0.550502i | ||||
\(679\) | − | 3.39881e6i | − | 0.282913i | ||||||
\(680\) | 8.65130e6 | − | 2.54681e6i | 0.717478 | − | 0.211214i | ||||
\(681\) | 1.25121e7i | 1.03386i | ||||||||
\(682\) | −2.44903e6 | + | 6.45463e6i | −0.201620 | + | 0.531386i | ||||
\(683\) | 1.78019e6 | + | 1.78019e6i | 0.146021 | + | 0.146021i | 0.776338 | − | 0.630317i | \(-0.217075\pi\) |
−0.630317 | + | 0.776338i | \(0.717075\pi\) | |||||||
\(684\) | −44913.0 | − | 746241.i | −0.00367056 | − | 0.0609872i | ||||
\(685\) | 1.06601e7 | − | 7.11941e6i | 0.868028 | − | 0.579719i | ||||
\(686\) | −7.43515e6 | + | 3.34494e6i | −0.603225 | + | 0.271380i | ||||
\(687\) | − | 1.56578e7i | − | 1.26572i | ||||||
\(688\) | −9.43455e6 | + | 1.20273e7i | −0.759889 | + | 0.968720i | ||||
\(689\) | 367110. | 0.0294610 | ||||||||
\(690\) | 1.55341e6 | + | 6.75040e6i | 0.124212 | + | 0.539768i | ||||
\(691\) | 1.51265e7 | + | 1.51265e7i | 1.20515 | + | 1.20515i | 0.972579 | + | 0.232575i | \(0.0747150\pi\) |
0.232575 | + | 0.972579i | \(0.425285\pi\) | |||||||
\(692\) | 622357. | + | 1.03406e7i | 0.0494054 | + | 0.820884i | ||||
\(693\) | 602588. | + | 602588.i | 0.0476637 | + | 0.0476637i | ||||
\(694\) | 7.18461e6 | + | 2.72601e6i | 0.566245 | + | 0.214846i | ||||
\(695\) | −2.46715e6 | + | 1.23888e7i | −0.193747 | + | 0.972899i | ||||
\(696\) | −124099. | + | 397613.i | −0.00971058 | + | 0.0311127i | ||||
\(697\) | −8.74828e6 | −0.682089 | ||||||||
\(698\) | 167621. | + | 63599.3i | 0.0130224 | + | 0.00494099i | ||||
\(699\) | 5.22514e6 | − | 5.22514e6i | 0.404487 | − | 0.404487i | ||||
\(700\) | 1.99838e6 | + | 4.11207e6i | 0.154146 | + | 0.317187i | ||||
\(701\) | −1.06516e7 | − | 1.06516e7i | −0.818688 | − | 0.818688i | 0.167230 | − | 0.985918i | \(-0.446518\pi\) |
−0.985918 | + | 0.167230i | \(0.946518\pi\) | |||||||
\(702\) | −581269. | + | 261502.i | −0.0445179 | + | 0.0200278i | ||||
\(703\) | 2.64643e6i | 0.201963i | ||||||||
\(704\) | 1.21570e7 | − | 2.21647e6i | 0.924476 | − | 0.168551i | ||||
\(705\) | 2.92418e6 | + | 582332.i | 0.221581 | + | 0.0441263i | ||||
\(706\) | −1.40739e6 | − | 3.12836e6i | −0.106268 | − | 0.236214i | ||||
\(707\) | −4.36673e6 | + | 4.36673e6i | −0.328555 | + | 0.328555i | ||||
\(708\) | −26425.3 | − | 23425.0i | −0.00198124 | − | 0.00175629i | ||||
\(709\) | −1.67716e7 | + | 1.67716e7i | −1.25303 | + | 1.25303i | −0.298668 | + | 0.954357i | \(0.596542\pi\) |
−0.954357 | + | 0.298668i | \(0.903458\pi\) | |||||||
\(710\) | −2.16840e7 | − | 1.35711e7i | −1.61433 | − | 1.01034i | ||||
\(711\) | − | 4.63769e6i | − | 0.344055i | ||||||
\(712\) | 2.27858e7 | + | 7.11168e6i | 1.68447 | + | 0.525741i | ||||
\(713\) | 5.09490e6 | 0.375328 | ||||||||
\(714\) | 2.99827e6 | + | 1.13761e6i | 0.220103 | + | 0.0835121i | ||||
\(715\) | −324253. | − | 485512.i | −0.0237202 | − | 0.0355169i | ||||
\(716\) | −3.68210e6 | + | 221609.i | −0.268419 | + | 0.0161549i | ||||
\(717\) | 3.43490e6 | − | 3.43490e6i | 0.249526 | − | 0.249526i | ||||
\(718\) | 8.77767e6 | + | 1.95111e7i | 0.635431 | + | 1.41244i | ||||
\(719\) | 4.89057e6 | 0.352807 | 0.176403 | − | 0.984318i | \(-0.443554\pi\) | ||||
0.176403 | + | 0.984318i | \(0.443554\pi\) | |||||||
\(720\) | 2.14740e6 | − | 1.84221e6i | 0.154376 | − | 0.132437i | ||||
\(721\) | 2.55659e6 | 0.183156 | ||||||||
\(722\) | 5.22818e6 | + | 1.16212e7i | 0.373256 | + | 0.829676i | ||||
\(723\) | 1.34563e7 | − | 1.34563e7i | 0.957368 | − | 0.957368i | ||||
\(724\) | 50481.4 | + | 838762.i | 0.00357919 | + | 0.0594693i | ||||
\(725\) | −477576. | + | 197570.i | −0.0337441 | + | 0.0139597i | ||||
\(726\) | 1.38579e6 | + | 525801.i | 0.0975791 | + | 0.0370237i | ||||
\(727\) | −1.99767e7 | −1.40181 | −0.700904 | − | 0.713256i | \(-0.747220\pi\) | ||||
−0.700904 | + | 0.713256i | \(0.747220\pi\) | |||||||
\(728\) | 106422. | + | 202993.i | 0.00744221 | + | 0.0141956i | ||||
\(729\) | 1.59595e7i | 1.11224i | ||||||||
\(730\) | 1.20415e7 | − | 1.92401e7i | 0.836324 | − | 1.33629i | ||||
\(731\) | −9.40725e6 | + | 9.40725e6i | −0.651132 | + | 0.651132i | ||||
\(732\) | −8.67830e6 | + | 9.78982e6i | −0.598628 | + | 0.675300i | ||||
\(733\) | 9.28442e6 | − | 9.28442e6i | 0.638256 | − | 0.638256i | −0.311869 | − | 0.950125i | \(-0.600955\pi\) |
0.950125 | + | 0.311869i | \(0.100955\pi\) | |||||||
\(734\) | 3.95222e6 | + | 8.78502e6i | 0.270770 | + | 0.601870i | ||||
\(735\) | 2.23553e6 | − | 1.12257e7i | 0.152638 | − | 0.766472i | ||||
\(736\) | −4.71213e6 | − | 7.80813e6i | −0.320644 | − | 0.531316i | ||||
\(737\) | 2.90371e6i | 0.196918i | ||||||||
\(738\) | −2.50296e6 | + | 1.12603e6i | −0.169166 | + | 0.0761046i | ||||
\(739\) | −4.34191e6 | − | 4.34191e6i | −0.292462 | − | 0.292462i | 0.545590 | − | 0.838052i | \(-0.316306\pi\) |
−0.838052 | + | 0.545590i | \(0.816306\pi\) | |||||||
\(740\) | −7.97971e6 | + | 6.05287e6i | −0.535683 | + | 0.406333i | ||||
\(741\) | −128781. | + | 128781.i | −0.00861601 | + | 0.00861601i | ||||
\(742\) | −3.20538e6 | − | 1.21619e6i | −0.213732 | − | 0.0810948i | ||||
\(743\) | −2.55197e7 | −1.69591 | −0.847956 | − | 0.530066i | \(-0.822167\pi\) | ||||
−0.847956 | + | 0.530066i | \(0.822167\pi\) | |||||||
\(744\) | 3.78435e6 | + | 7.21842e6i | 0.250645 | + | 0.478090i | ||||
\(745\) | −1.56286e6 | + | 7.84791e6i | −0.103164 | + | 0.518040i | ||||
\(746\) | −8.16961e6 | − | 3.09974e6i | −0.537470 | − | 0.203928i | ||||
\(747\) | 2.93306e6 | + | 2.93306e6i | 0.192318 | + | 0.192318i | ||||
\(748\) | 1.07355e7 | − | 646122.i | 0.701564 | − | 0.0422241i | ||||
\(749\) | −6.02358e6 | − | 6.02358e6i | −0.392329 | − | 0.392329i | ||||
\(750\) | −1.35579e7 | − | 2.28490e6i | −0.880114 | − | 0.148325i | ||||
\(751\) | 1.81595e7 | 1.17491 | 0.587454 | − | 0.809258i | \(-0.300130\pi\) | ||||
0.587454 | + | 0.809258i | \(0.300130\pi\) | |||||||
\(752\) | −3.89722e6 | + | 470819.i | −0.251310 | + | 0.0303605i | ||||
\(753\) | 2.31791e7i | 1.48974i | ||||||||
\(754\) | −23628.5 | + | 10630.0i | −0.00151359 | + | 0.000680934i | ||||
\(755\) | 6.99898e6 | + | 1.04798e7i | 0.446856 | + | 0.669089i | ||||
\(756\) | 5.94162e6 | − | 357600.i | 0.378094 | − | 0.0227558i | ||||
\(757\) | −6.72531e6 | − | 6.72531e6i | −0.426553 | − | 0.426553i | 0.460900 | − | 0.887452i | \(-0.347527\pi\) |
−0.887452 | + | 0.460900i | \(0.847527\pi\) | |||||||
\(758\) | 521769. | − | 1.37516e6i | 0.0329841 | − | 0.0869324i | ||||
\(759\) | 8.26063e6i | 0.520485i | ||||||||
\(760\) | 2.28936e6 | − | 4.19960e6i | 0.143774 | − | 0.263739i | ||||
\(761\) | − | 403804.i | − | 0.0252760i | −0.999920 | − | 0.0126380i | \(-0.995977\pi\) | ||
0.999920 | − | 0.0126380i | \(-0.00402291\pi\) | |||||||
\(762\) | 7.33368e6 | + | 2.78257e6i | 0.457546 | + | 0.173603i | ||||
\(763\) | 4.11421e6 | + | 4.11421e6i | 0.255844 | + | 0.255844i | ||||
\(764\) | 4.65418e6 | − | 5.25029e6i | 0.288476 | − | 0.325424i | ||||
\(765\) | 2.04772e6 | − | 1.36759e6i | 0.126508 | − | 0.0844892i | ||||
\(766\) | −1.03857e7 | − | 2.30855e7i | −0.639536 | − | 1.42156i | ||||
\(767\) | − | 2196.60i | − | 0.000134822i | ||||||
\(768\) | 7.56248e6 | − | 1.24758e7i | 0.462659 | − | 0.763247i | ||||
\(769\) | 1.00104e6 | 0.0610432 | 0.0305216 | − | 0.999534i | \(-0.490283\pi\) | ||||
0.0305216 | + | 0.999534i | \(0.490283\pi\) | |||||||
\(770\) | 1.22273e6 | + | 5.31341e6i | 0.0743197 | + | 0.322958i | ||||
\(771\) | −1.81707e7 | − | 1.81707e7i | −1.10087 | − | 1.10087i | ||||
\(772\) | 1.86188e7 | + | 1.65048e7i | 1.12437 | + | 0.996709i | ||||
\(773\) | −1.41432e7 | − | 1.41432e7i | −0.851333 | − | 0.851333i | 0.138964 | − | 0.990297i | \(-0.455623\pi\) |
−0.990297 | + | 0.138964i | \(0.955623\pi\) | |||||||
\(774\) | −1.48064e6 | + | 3.90234e6i | −0.0888375 | + | 0.234139i | ||||
\(775\) | −3.87418e6 | + | 9.34134e6i | −0.231700 | + | 0.558669i | ||||
\(776\) | −1.28460e7 | − | 4.00935e6i | −0.765794 | − | 0.239012i | ||||
\(777\) | −3.56145e6 | −0.211629 | ||||||||
\(778\) | 3.36299e6 | − | 8.86343e6i | 0.199194 | − | 0.524992i | ||||
\(779\) | −3.28085e6 | + | 3.28085e6i | −0.193706 | + | 0.193706i | ||||
\(780\) | −682855. | − | 93764.2i | −0.0401876 | − | 0.00551824i | ||||
\(781\) | −2.15712e7 | − | 2.15712e7i | −1.26546 | − | 1.26546i | ||||
\(782\) | −3.25642e6 | − | 7.23838e6i | −0.190425 | − | 0.423277i | ||||
\(783\) | 672879.i | 0.0392223i | ||||||||
\(784\) | 1.80744e6 | + | 1.49612e7i | 0.105020 | + | 0.869311i | ||||
\(785\) | 4.72436e6 | − | 2.37234e7i | 0.273633 | − | 1.37405i | ||||
\(786\) | 9.29062e6 | − | 4.17968e6i | 0.536400 | − | 0.241316i | ||||
\(787\) | −2.11152e6 | + | 2.11152e6i | −0.121523 | + | 0.121523i | −0.765253 | − | 0.643730i | \(-0.777386\pi\) |
0.643730 | + | 0.765253i | \(0.277386\pi\) | |||||||
\(788\) | −1.25835e7 | + | 757349.i | −0.721918 | + | 0.0434491i | ||||
\(789\) | 1.88829e7 | − | 1.88829e7i | 1.07988 | − | 1.07988i | ||||
\(790\) | 1.57415e7 | − | 2.51520e7i | 0.897385 | − | 1.43385i | ||||
\(791\) | − | 1.07899e7i | − | 0.613164i | ||||||
\(792\) | 2.98834e6 | − | 1.56668e6i | 0.169285 | − | 0.0887496i | ||||
\(793\) | −813778. | −0.0459539 | ||||||||
\(794\) | 9.28788e6 | − | 2.44790e7i | 0.522836 | − | 1.37798i | ||||
\(795\) | 8.57371e6 | − | 5.72602e6i | 0.481118 | − | 0.321318i | ||||
\(796\) | −1.78830e7 | − | 1.58526e7i | −1.00036 | − | 0.886784i | ||||
\(797\) | 1.74332e7 | − | 1.74332e7i | 0.972143 | − | 0.972143i | −0.0274791 | − | 0.999622i | \(-0.508748\pi\) |
0.999622 | + | 0.0274791i | \(0.00874797\pi\) | |||||||
\(798\) | 1.55107e6 | − | 697800.i | 0.0862234 | − | 0.0387904i | ||||
\(799\) | −3.41649e6 | −0.189327 | ||||||||
\(800\) | 1.78991e7 | − | 2.70222e6i | 0.988795 | − | 0.149278i | ||||
\(801\) | 6.51751e6 | 0.358922 | ||||||||
\(802\) | −4.14401e6 | + | 1.86432e6i | −0.227502 | + | 0.102349i | ||||
\(803\) | 1.91400e7 | − | 1.91400e7i | 1.04750 | − | 1.04750i | ||||
\(804\) | 2.56525e6 | + | 2.27400e6i | 0.139956 | + | 0.124065i | ||||
\(805\) | 3.34617e6 | − | 2.23476e6i | 0.181994 | − | 0.121546i | ||||
\(806\) | −179847. | + | 474001.i | −0.00975136 | + | 0.0257005i | ||||
\(807\) | −1.80753e7 | −0.977017 | ||||||||
\(808\) | 1.13531e7 | + | 2.16554e7i | 0.611768 | + | 1.16691i | ||||
\(809\) | − | 1.80632e7i | − | 0.970338i | −0.874421 | − | 0.485169i | \(-0.838758\pi\) | ||
0.874421 | − | 0.485169i | \(-0.161242\pi\) | |||||||
\(810\) | −7.48158e6 | + | 1.19542e7i | −0.400664 | + | 0.640186i | ||||
\(811\) | −8.45584e6 | + | 8.45584e6i | −0.451445 | + | 0.451445i | −0.895834 | − | 0.444389i | \(-0.853421\pi\) |
0.444389 | + | 0.895834i | \(0.353421\pi\) | |||||||
\(812\) | 241525. | − | 14536.4i | 0.0128550 | − | 0.000773687i | ||||
\(813\) | 8.65140e6 | − | 8.65140e6i | 0.459050 | − | 0.459050i | ||||
\(814\) | −1.08926e7 | + | 4.90040e6i | −0.576199 | + | 0.259221i | ||||
\(815\) | 3.78930e6 | − | 1.90280e7i | 0.199832 | − | 1.00346i | ||||
\(816\) | 7.83653e6 | − | 9.99015e6i | 0.412001 | − | 0.525226i | ||||
\(817\) | 7.05597e6i | 0.369829i | ||||||||
\(818\) | −5.59613e6 | − | 1.24391e7i | −0.292418 | − | 0.649989i | ||||
\(819\) | 44251.6 | + | 44251.6i | 0.00230525 | + | 0.00230525i | ||||
\(820\) | −1.73966e7 | − | 2.38876e6i | −0.903501 | − | 0.124062i | ||||
\(821\) | −4.07020e6 | + | 4.07020e6i | −0.210745 | + | 0.210745i | −0.804584 | − | 0.593839i | \(-0.797612\pi\) |
0.593839 | + | 0.804584i | \(0.297612\pi\) | |||||||
\(822\) | 6.40236e6 | − | 1.68740e7i | 0.330492 | − | 0.871039i | ||||
\(823\) | −3.01611e7 | −1.55220 | −0.776099 | − | 0.630610i | \(-0.782805\pi\) | ||||
−0.776099 | + | 0.630610i | \(0.782805\pi\) | |||||||
\(824\) | 3.01583e6 | − | 9.66273e6i | 0.154735 | − | 0.495772i | ||||
\(825\) | −1.51456e7 | − | 6.28141e6i | −0.774733 | − | 0.321309i | ||||
\(826\) | −7277.08 | + | 19179.3i | −0.000371114 | + | 0.000978101i | ||||
\(827\) | 8.34070e6 | + | 8.34070e6i | 0.424071 | + | 0.424071i | 0.886603 | − | 0.462532i | \(-0.153059\pi\) |
−0.462532 | + | 0.886603i | \(0.653059\pi\) | |||||||
\(828\) | −1.86338e6 | − | 1.65181e6i | −0.0944549 | − | 0.0837307i | ||||
\(829\) | −1.60405e7 | − | 1.60405e7i | −0.810649 | − | 0.810649i | 0.174082 | − | 0.984731i | \(-0.444304\pi\) |
−0.984731 | + | 0.174082i | \(0.944304\pi\) | |||||||
\(830\) | 5.95155e6 | + | 2.58627e7i | 0.299871 | + | 1.30310i | ||||
\(831\) | −2.97914e7 | −1.49654 | ||||||||
\(832\) | 892761. | − | 162768.i | 0.0447123 | − | 0.00815195i | ||||
\(833\) | 1.31157e7i | 0.654904i | ||||||||
\(834\) | 7.29665e6 | + | 1.62190e7i | 0.363252 | + | 0.807439i | ||||
\(835\) | −7.72476e6 | + | 5.15903e6i | −0.383415 | + | 0.256066i | ||||
\(836\) | 3.78379e6 | − | 4.26842e6i | 0.187246 | − | 0.211228i | ||||
\(837\) | 9.30997e6 | + | 9.30997e6i | 0.459341 | + | 0.459341i | ||||
\(838\) | 1.36263e7 | + | 5.17015e6i | 0.670300 | + | 0.254327i | ||||
\(839\) | 421767.i | 0.0206856i | 0.999947 | + | 0.0103428i | \(0.00329227\pi\) | ||||
−0.999947 | + | 0.0103428i | \(0.996708\pi\) | |||||||
\(840\) | 5.65164e6 | + | 3.08091e6i | 0.276361 | + | 0.150654i | ||||
\(841\) | − | 2.04838e7i | − | 0.998666i | ||||||
\(842\) | −9.57340e6 | + | 2.52315e7i | −0.465357 | + | 1.22649i | ||||
\(843\) | 4.50801e6 | + | 4.50801e6i | 0.218482 | + | 0.218482i | ||||
\(844\) | −2.48435e7 | + | 1.49522e6i | −1.20049 | + | 0.0722520i | ||||
\(845\) | 1.15037e7 | + | 1.72248e7i | 0.554238 | + | 0.829875i | ||||
\(846\) | −977486. | + | 439753.i | −0.0469553 | + | 0.0211243i | ||||
\(847\) | − | 861006.i | − | 0.0412380i | ||||||
\(848\) | −8.37783e6 | + | 1.06802e7i | −0.400076 | + | 0.510024i | ||||
\(849\) | −1.11429e6 | −0.0530552 | ||||||||
\(850\) | 1.57476e7 | − | 466450.i | 0.747594 | − | 0.0221441i | ||||
\(851\) | 6.23304e6 | + | 6.23304e6i | 0.295037 | + | 0.295037i | ||||
\(852\) | −3.59501e7 | + | 2.16368e6i | −1.69668 | + | 0.102116i | ||||
\(853\) | −2.29494e7 | − | 2.29494e7i | −1.07994 | − | 1.07994i | −0.996514 | − | 0.0834252i | \(-0.973414\pi\) |
−0.0834252 | − | 0.996514i | \(-0.526586\pi\) | |||||||
\(854\) | 7.10541e6 | + | 2.69596e6i | 0.333384 | + | 0.126493i | ||||
\(855\) | 255071. | − | 1.28084e6i | 0.0119329 | − | 0.0599210i | ||||
\(856\) | −2.98720e7 | + | 1.56608e7i | −1.39342 | + | 0.730515i | ||||
\(857\) | 8.65289e6 | 0.402448 | 0.201224 | − | 0.979545i | \(-0.435508\pi\) | ||||
0.201224 | + | 0.979545i | \(0.435508\pi\) | |||||||
\(858\) | −768523. | − | 291595.i | −0.0356401 | − | 0.0135227i | ||||
\(859\) | −1.06006e7 | + | 1.06006e7i | −0.490173 | + | 0.490173i | −0.908361 | − | 0.418188i | \(-0.862665\pi\) |
0.418188 | + | 0.908361i | \(0.362665\pi\) | |||||||
\(860\) | −2.12756e7 | + | 1.61383e7i | −0.980927 | + | 0.744064i | ||||
\(861\) | −4.41523e6 | − | 4.41523e6i | −0.202976 | − | 0.202976i | ||||
\(862\) | −1.11219e6 | + | 500356.i | −0.0509815 | + | 0.0229356i | ||||
\(863\) | 3.47858e7i | 1.58992i | 0.606661 | + | 0.794961i | \(0.292509\pi\) | ||||
−0.606661 | + | 0.794961i | \(0.707491\pi\) | |||||||
\(864\) | 5.65737e6 | − | 2.28785e7i | 0.257828 | − | 1.04266i | ||||
\(865\) | −3.53450e6 | + | 1.77485e7i | −0.160616 | + | 0.806532i | ||||
\(866\) | 1.42478e7 | + | 3.16700e7i | 0.645584 | + | 1.43501i | ||||
\(867\) | −6.15475e6 | + | 6.15475e6i | −0.278075 | + | 0.278075i | ||||
\(868\) | 3.14063e6 | − | 3.54288e6i | 0.141487 | − | 0.159609i | ||||
\(869\) | 2.50212e7 | − | 2.50212e7i | 1.12398 | − | 1.12398i | ||||
\(870\) | −386032. | + | 616806.i | −0.0172912 | + | 0.0276281i | ||||
\(871\) | 213236.i | 0.00952392i | ||||||||
\(872\) | 2.04031e7 | − | 1.06966e7i | 0.908669 | − | 0.476381i | ||||
\(873\) | −3.67437e6 | −0.163173 | ||||||||
\(874\) | −3.93585e6 | − | 1.49335e6i | −0.174285 | − | 0.0661276i | ||||
\(875\) | 1.55293e6 | + | 7.83442e6i | 0.0685697 | + | 0.345929i | ||||
\(876\) | −1.91982e6 | − | 3.18983e7i | −0.0845279 | − | 1.40445i | ||||
\(877\) | −9.38491e6 | + | 9.38491e6i | −0.412032 | + | 0.412032i | −0.882446 | − | 0.470414i | \(-0.844105\pi\) |
0.470414 | + | 0.882446i | \(0.344105\pi\) | |||||||
\(878\) | 3.86803e6 | + | 8.59788e6i | 0.169338 | + | 0.376405i | ||||
\(879\) | 1.01071e7 | 0.441220 | ||||||||
\(880\) | 2.15247e7 | + | 1.64652e6i | 0.936978 | + | 0.0716736i | ||||
\(881\) | 3.49039e7 | 1.51508 | 0.757538 | − | 0.652791i | \(-0.226402\pi\) | ||||
0.757538 | + | 0.652791i | \(0.226402\pi\) | |||||||
\(882\) | 1.68818e6 | + | 3.75250e6i | 0.0730714 | + | 0.162424i | ||||
\(883\) | 2.94816e7 | − | 2.94816e7i | 1.27248 | − | 1.27248i | 0.327691 | − | 0.944785i | \(-0.393729\pi\) |
0.944785 | − | 0.327691i | \(-0.106271\pi\) | |||||||
\(884\) | 788369. | − | 47448.5i | 0.0339312 | − | 0.00204217i | ||||
\(885\) | −34261.5 | − | 51300.7i | −0.00147044 | − | 0.00220174i | ||||
\(886\) | 8.34561e6 | + | 3.16652e6i | 0.357169 | + | 0.135518i | ||||
\(887\) | 4.50930e7 | 1.92442 | 0.962210 | − | 0.272309i | \(-0.0877874\pi\) | ||||
0.962210 | + | 0.272309i | \(0.0877874\pi\) | |||||||
\(888\) | −4.20121e6 | + | 1.34607e7i | −0.178789 | + | 0.572841i | ||||
\(889\) | − | 4.55649e6i | − | 0.193364i | ||||||
\(890\) | 3.53470e7 | + | 2.21221e7i | 1.49581 | + | 0.936163i | ||||
\(891\) | −1.18920e7 | + | 1.18920e7i | −0.501834 | + | 0.501834i | ||||
\(892\) | −2.85021e7 | − | 2.52661e7i | −1.19940 | − | 1.06323i | ||||
\(893\) | −1.28128e6 | + | 1.28128e6i | −0.0537669 | + | 0.0537669i | ||||
\(894\) | 4.62219e6 | + | 1.02742e7i | 0.193421 | + | 0.429938i | ||||
\(895\) | −6.31990e6 | − | 1.25857e6i | −0.263726 | − | 0.0525193i | ||||
\(896\) | −8.33428e6 | − | 1.53642e6i | −0.346815 | − | 0.0639354i | ||||
\(897\) | 606626.i | 0.0251733i | ||||||||
\(898\) | −2.59791e7 | + | 1.16875e7i | −1.07506 | + | 0.483651i | ||||
\(899\) | 378448. | + | 378448.i | 0.0156173 | + | 0.0156173i | ||||
\(900\) | 4.44547e6 | − | 2.16040e6i | 0.182941 | − | 0.0889053i | ||||
\(901\) | −8.35359e6 | + | 8.35359e6i | −0.342816 | + | 0.342816i | ||||
\(902\) | −1.95791e7 | − | 7.42874e6i | −0.801264 | − | 0.304018i | ||||
\(903\) | −9.49561e6 | −0.387528 | ||||||||
\(904\) | −4.07809e7 | − | 1.27281e7i | −1.65972 | − | 0.518017i | ||||
\(905\) | −286695. | + | 1.43964e6i | −0.0116359 | + | 0.0584295i | ||||
\(906\) | 1.65885e7 | + | 6.29406e6i | 0.671409 | + | 0.254748i | ||||
\(907\) | 2.49512e7 | + | 2.49512e7i | 1.00710 | + | 1.00710i | 0.999975 | + | 0.00712657i | \(0.00226848\pi\) |
0.00712657 | + | 0.999975i | \(0.497732\pi\) | |||||||
\(908\) | −1.72888e6 | − | 2.87258e7i | −0.0695906 | − | 1.15627i | ||||
\(909\) | 4.72078e6 | + | 4.72078e6i | 0.189498 | + | 0.189498i | ||||
\(910\) | 89792.2 | + | 390195.i | 0.00359447 | + | 0.0156199i | ||||
\(911\) | 2.42627e6 | 0.0968597 | 0.0484299 | − | 0.998827i | \(-0.484578\pi\) | ||||
0.0484299 | + | 0.998827i | \(0.484578\pi\) | |||||||
\(912\) | −807668. | − | 6.68551e6i | −0.0321548 | − | 0.266163i | ||||
\(913\) | 3.16487e7i | 1.25655i | ||||||||
\(914\) | 3.13103e7 | − | 1.40859e7i | 1.23971 | − | 0.557725i | ||||
\(915\) | −1.90055e7 | + | 1.26929e7i | −0.750458 | + | 0.501198i | ||||
\(916\) | 2.16354e6 | + | 3.59477e7i | 0.0851972 | + | 1.41557i | ||||
\(917\) | −4.18461e6 | − | 4.18461e6i | −0.164336 | − | 0.164336i | ||||
\(918\) | 7.27630e6 | − | 1.91773e7i | 0.284973 | − | 0.751070i | ||||
\(919\) | 5.00936e7i | 1.95656i | 0.207282 | + | 0.978281i | \(0.433538\pi\) | ||||
−0.207282 | + | 0.978281i | \(0.566462\pi\) | |||||||
\(920\) | −4.49913e6 | − | 1.52832e7i | −0.175250 | − | 0.595312i | ||||
\(921\) | − | 1.12025e6i | − | 0.0435176i | ||||||
\(922\) | −4.44534e6 | − | 1.68666e6i | −0.172218 | − | 0.0653434i | ||||
\(923\) | −1.58410e6 | − | 1.58410e6i | −0.0612038 | − | 0.0612038i | ||||
\(924\) | 5.74425e6 | + | 5.09206e6i | 0.221337 | + | 0.196207i | ||||
\(925\) | −1.61677e7 | + | 6.68847e6i | −0.621290 | + | 0.257023i | ||||
\(926\) | 1.94770e6 | + | 4.32936e6i | 0.0746440 | + | 0.165919i | ||||
\(927\) | − | 2.76387e6i | − | 0.105637i | ||||||
\(928\) | 229971. | − | 930004.i | 0.00876602 | − | 0.0354499i | ||||
\(929\) | 1.54378e7 | 0.586876 | 0.293438 | − | 0.955978i | \(-0.405201\pi\) | ||||
0.293438 | + | 0.955978i | \(0.405201\pi\) | |||||||
\(930\) | 3.19300e6 | + | 1.38753e7i | 0.121058 | + | 0.526059i | ||||
\(931\) | 4.91874e6 | + | 4.91874e6i | 0.185986 | + | 0.185986i | ||||
\(932\) | −1.12741e7 | + | 1.27181e7i | −0.425150 | + | 0.479603i | ||||
\(933\) | −2.06833e7 | − | 2.06833e7i | −0.777886 | − | 0.777886i | ||||
\(934\) | 1.38181e7 | − | 3.64187e7i | 0.518299 | − | 1.36602i | ||||
\(935\) | 1.84262e7 | + | 3.66946e6i | 0.689299 | + | 0.137269i | ||||
\(936\) | 219451. | − | 115050.i | 0.00818745 | − | 0.00429238i | ||||
\(937\) | 6.54446e6 | 0.243515 | 0.121757 | − | 0.992560i | \(-0.461147\pi\) | ||||
0.121757 | + | 0.992560i | \(0.461147\pi\) | |||||||
\(938\) | 706428. | − | 1.86185e6i | 0.0262157 | − | 0.0690936i | ||||
\(939\) | −1.35573e7 | + | 1.35573e7i | −0.501774 | + | 0.501774i | ||||
\(940\) | −6.79392e6 | − | 932888.i | −0.250785 | − | 0.0344358i | ||||
\(941\) | 1.53586e7 | + | 1.53586e7i | 0.565427 | + | 0.565427i | 0.930844 | − | 0.365417i | \(-0.119074\pi\) |
−0.365417 | + | 0.930844i | \(0.619074\pi\) | |||||||
\(942\) | −1.39724e7 | − | 3.10579e7i | −0.513031 | − | 1.14037i | ||||
\(943\) | 1.54545e7i | 0.565948i | ||||||||
\(944\) | 63904.9 | + | 50128.7i | 0.00233402 | + | 0.00183086i | ||||
\(945\) | 1.01981e7 | + | 2.03089e6i | 0.371484 | + | 0.0739786i | ||||
\(946\) | −2.90422e7 | + | 1.30655e7i | −1.05512 | + | 0.474679i | ||||
\(947\) | 2.83148e7 | − | 2.83148e7i | 1.02598 | − | 1.02598i | 0.0263270 | − | 0.999653i | \(-0.491619\pi\) |
0.999653 | − | 0.0263270i | \(-0.00838111\pi\) | |||||||
\(948\) | −2.50972e6 | − | 4.16997e7i | −0.0906994 | − | 1.50700i | ||||
\(949\) | 1.40556e6 | − | 1.40556e6i | 0.0506623 | − | 0.0506623i | ||||
\(950\) | 5.73084e6 | − | 6.08071e6i | 0.206020 | − | 0.218597i | ||||
\(951\) | 3.35692e6i | 0.120362i | ||||||||
\(952\) | −7.04075e6 | − | 2.19749e6i | −0.251783 | − | 0.0785840i | ||||
\(953\) | 3.84616e7 | 1.37181 | 0.685907 | − | 0.727689i | \(-0.259406\pi\) | ||||
0.685907 | + | 0.727689i | \(0.259406\pi\) | |||||||
\(954\) | −1.31480e6 | + | 3.46526e6i | −0.0467723 | + | 0.123272i | ||||
\(955\) | 1.01927e7 | − | 6.80723e6i | 0.361642 | − | 0.241525i | ||||
\(956\) | −7.41136e6 | + | 8.36061e6i | −0.262273 | + | 0.295865i | ||||
\(957\) | −613598. | + | 613598.i | −0.0216573 | + | 0.0216573i | ||||
\(958\) | 2.31027e7 | − | 1.03935e7i | 0.813298 | − | 0.365888i | ||||
\(959\) | −1.04839e7 | −0.368110 | ||||||||
\(960\) | 1.83113e7 | − | 1.77263e7i | 0.641271 | − | 0.620783i | ||||
\(961\) | −1.81567e7 | −0.634204 | ||||||||
\(962\) | −799910. | + | 359865.i | −0.0278679 | + | 0.0125372i | ||||
\(963\) | −6.51196e6 | + | 6.51196e6i | −0.226280 | + | 0.226280i | ||||
\(964\) | −2.90341e7 | + | 3.27528e7i | −1.00627 | + | 1.13516i | ||||
\(965\) | 2.41401e7 | + | 3.61456e7i | 0.834489 | + | 1.24950i | ||||
\(966\) | 2.00968e6 | − | 5.29669e6i | 0.0692923 | − | 0.182626i | ||||
\(967\) | 2.33569e7 | 0.803248 | 0.401624 | − | 0.915805i | \(-0.368446\pi\) | ||||
0.401624 | + | 0.915805i | \(0.368446\pi\) | |||||||
\(968\) | −3.25421e6 | − | 1.01567e6i | −0.111624 | − | 0.0348389i | ||||
\(969\) | − | 5.86083e6i | − | 0.200516i | ||||||
\(970\) | −1.99276e7 | − | 1.24718e7i | −0.680025 | − | 0.425598i | ||||
\(971\) | −5.15245e6 | + | 5.15245e6i | −0.175374 | + | 0.175374i | −0.789336 | − | 0.613962i | \(-0.789575\pi\) |
0.613962 | + | 0.789336i | \(0.289575\pi\) | |||||||
\(972\) | −707844. | − | 1.17610e7i | −0.0240310 | − | 0.399282i | ||||
\(973\) | 7.30526e6 | − | 7.30526e6i | 0.247374 | − | 0.247374i | ||||
\(974\) | −1.30984e7 | + | 5.89272e6i | −0.442405 | + | 0.199030i | ||||
\(975\) | −1.11223e6 | − | 461280.i | −0.0374700 | − | 0.0155401i | ||||
\(976\) | 1.85713e7 | − | 2.36750e7i | 0.624047 | − | 0.795546i | ||||
\(977\) | 4.91321e6i | 0.164676i | 0.996604 | + | 0.0823378i | \(0.0262386\pi\) | ||||
−0.996604 | + | 0.0823378i | \(0.973761\pi\) | |||||||
\(978\) | −1.12069e7 | − | 2.49108e7i | −0.374661 | − | 0.832799i | ||||
\(979\) | 3.51631e7 | + | 3.51631e7i | 1.17255 | + | 1.17255i | ||||
\(980\) | −3.58129e6 | + | 2.60814e7i | −0.119117 | + | 0.867492i | ||||
\(981\) | 4.44778e6 | − | 4.44778e6i | 0.147561 | − | 0.147561i | ||||
\(982\) | 2.09366e6 | − | 5.51802e6i | 0.0692832 | − | 0.182601i | ||||
\(983\) | −2.41522e7 | −0.797209 | −0.398605 | − | 0.917123i | \(-0.630505\pi\) | ||||
−0.398605 | + | 0.917123i | \(0.630505\pi\) | |||||||
\(984\) | −2.18959e7 | + | 1.14792e7i | −0.720900 | + | 0.377941i | ||||
\(985\) | −2.15982e7 | − | 4.30115e6i | −0.709296 | − | 0.141252i | ||||
\(986\) | 295780. | − | 779552.i | 0.00968894 | − | 0.0255360i | ||||
\(987\) | −1.72429e6 | − | 1.72429e6i | −0.0563401 | − | 0.0563401i | ||||
\(988\) | 277866. | − | 313455.i | 0.00905614 | − | 0.0102160i | ||||
\(989\) | 1.66186e7 | + | 1.66186e7i | 0.540263 | + | 0.540263i | ||||
\(990\) | 5.74421e6 | − | 1.32187e6i | 0.186270 | − | 0.0428647i | ||||
\(991\) | 5.22786e6 | 0.169099 | 0.0845493 | − | 0.996419i | \(-0.473055\pi\) | ||||
0.0845493 | + | 0.996419i | \(0.473055\pi\) | |||||||
\(992\) | −9.68568e6 | − | 1.60494e7i | −0.312501 | − | 0.517822i | ||||
\(993\) | 115359.i | 0.00371260i | ||||||||
\(994\) | 8.58345e6 | + | 1.90793e7i | 0.275547 | + | 0.612488i | ||||
\(995\) | −2.31861e7 | − | 3.47172e7i | −0.742455 | − | 1.11170i | ||||
\(996\) | 2.79597e7 | + | 2.47853e7i | 0.893069 | + | 0.791672i | ||||
\(997\) | 3.04939e7 | + | 3.04939e7i | 0.971572 | + | 0.971572i | 0.999607 | − | 0.0280354i | \(-0.00892510\pi\) |
−0.0280354 | + | 0.999607i | \(0.508925\pi\) | |||||||
\(998\) | −2.33304e7 | − | 8.85210e6i | −0.741475 | − | 0.281332i | ||||
\(999\) | 2.27794e7i | 0.722153i |
(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 | 80.6.q.a.29.9 | ✓ | 116 | |
5.4 | even | 2 | inner | 80.6.q.a.29.50 | yes | 116 | |
16.5 | even | 4 | inner | 80.6.q.a.69.50 | yes | 116 | |
80.69 | even | 4 | inner | 80.6.q.a.69.9 | yes | 116 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
80.6.q.a.29.9 | ✓ | 116 | 1.1 | even | 1 | trivial | |
80.6.q.a.29.50 | yes | 116 | 5.4 | even | 2 | inner | |
80.6.q.a.69.9 | yes | 116 | 80.69 | even | 4 | inner | |
80.6.q.a.69.50 | yes | 116 | 16.5 | even | 4 | inner |