Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,6,Mod(2,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.2");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.f (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.29266605383\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 17.7 | ||
Character | \(\chi\) | \(=\) | 33.17 |
Dual form | 33.6.f.a.2.7 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.12695 | − | 3.46841i | −0.199219 | − | 0.613134i | −0.999901 | − | 0.0140446i | \(-0.995529\pi\) |
0.800682 | − | 0.599090i | \(-0.204471\pi\) | |||||||
\(3\) | −12.9075 | + | 8.74056i | −0.828014 | + | 0.560707i | ||||
\(4\) | 15.1287 | − | 10.9916i | 0.472772 | − | 0.343489i | ||||
\(5\) | 54.0225 | + | 17.5530i | 0.966383 | + | 0.313997i | 0.749355 | − | 0.662168i | \(-0.230364\pi\) |
0.217028 | + | 0.976165i | \(0.430364\pi\) | |||||||
\(6\) | 44.8620 | + | 34.9182i | 0.508745 | + | 0.395980i | ||||
\(7\) | −123.528 | − | 170.022i | −0.952842 | − | 1.31147i | −0.950254 | − | 0.311477i | \(-0.899176\pi\) |
−0.00258819 | − | 0.999997i | \(-0.500824\pi\) | |||||||
\(8\) | −149.586 | − | 108.681i | −0.826353 | − | 0.600381i | ||||
\(9\) | 90.2051 | − | 225.637i | 0.371214 | − | 0.928547i | ||||
\(10\) | − | 207.153i | − | 0.655077i | ||||||
\(11\) | −371.428 | − | 151.962i | −0.925534 | − | 0.378664i | ||||
\(12\) | −99.1999 | + | 274.108i | −0.198865 | + | 0.549500i | ||||
\(13\) | 787.456 | − | 255.860i | 1.29231 | − | 0.419898i | 0.419412 | − | 0.907796i | \(-0.362236\pi\) |
0.872901 | + | 0.487898i | \(0.162236\pi\) | |||||||
\(14\) | −450.495 | + | 620.053i | −0.614285 | + | 0.845491i | ||||
\(15\) | −850.716 | + | 245.623i | −0.976239 | + | 0.281864i | ||||
\(16\) | −23.4554 | + | 72.1881i | −0.0229056 | + | 0.0704962i | ||||
\(17\) | 271.716 | − | 836.254i | 0.228030 | − | 0.701804i | −0.769940 | − | 0.638117i | \(-0.779714\pi\) |
0.997970 | − | 0.0636879i | \(-0.0202862\pi\) | |||||||
\(18\) | −884.259 | − | 58.5857i | −0.643277 | − | 0.0426197i | ||||
\(19\) | 68.7247 | − | 94.5915i | 0.0436746 | − | 0.0601130i | −0.786621 | − | 0.617436i | \(-0.788171\pi\) |
0.830296 | + | 0.557323i | \(0.188171\pi\) | |||||||
\(20\) | 1010.23 | − | 328.242i | 0.564733 | − | 0.183493i | ||||
\(21\) | 3080.52 | + | 1114.85i | 1.52432 | + | 0.551654i | ||||
\(22\) | −108.485 | + | 1459.52i | −0.0477873 | + | 0.642914i | ||||
\(23\) | 181.300i | 0.0714627i | 0.999361 | + | 0.0357313i | \(0.0113761\pi\) | ||||
−0.999361 | + | 0.0357313i | \(0.988624\pi\) | |||||||
\(24\) | 2880.70 | + | 95.3246i | 1.02087 | + | 0.0337814i | ||||
\(25\) | 82.1421 | + | 59.6798i | 0.0262855 | + | 0.0190975i | ||||
\(26\) | −1774.85 | − | 2442.88i | −0.514908 | − | 0.708710i | ||||
\(27\) | 807.875 | + | 3700.84i | 0.213272 | + | 0.976993i | ||||
\(28\) | −3737.64 | − | 1214.43i | −0.900953 | − | 0.292738i | ||||
\(29\) | −2737.59 | + | 1988.98i | −0.604468 | + | 0.439172i | −0.847462 | − | 0.530856i | \(-0.821871\pi\) |
0.242994 | + | 0.970028i | \(0.421871\pi\) | |||||||
\(30\) | 1810.64 | + | 2673.83i | 0.367306 | + | 0.542413i | ||||
\(31\) | 3130.16 | + | 9633.65i | 0.585009 | + | 1.80047i | 0.599234 | + | 0.800574i | \(0.295472\pi\) |
−0.0142248 | + | 0.999899i | \(0.504528\pi\) | |||||||
\(32\) | −5639.94 | −0.973642 | ||||||||
\(33\) | 6122.42 | − | 1285.04i | 0.978675 | − | 0.205415i | ||||
\(34\) | −3206.69 | −0.475728 | ||||||||
\(35\) | −3688.91 | − | 11353.3i | −0.509011 | − | 1.56658i | ||||
\(36\) | −1115.43 | − | 4405.10i | −0.143446 | − | 0.566499i | ||||
\(37\) | 7064.64 | − | 5132.76i | 0.848371 | − | 0.616378i | −0.0763253 | − | 0.997083i | \(-0.524319\pi\) |
0.924696 | + | 0.380705i | \(0.124319\pi\) | |||||||
\(38\) | −405.532 | − | 131.765i | −0.0455581 | − | 0.0148027i | ||||
\(39\) | −7927.69 | + | 10185.3i | −0.834614 | + | 1.07229i | ||||
\(40\) | −6173.33 | − | 8496.87i | −0.610056 | − | 0.839670i | ||||
\(41\) | 9188.63 | + | 6675.93i | 0.853672 | + | 0.620229i | 0.926156 | − | 0.377140i | \(-0.123093\pi\) |
−0.0724837 | + | 0.997370i | \(0.523093\pi\) | |||||||
\(42\) | 395.133 | − | 11940.9i | 0.0345637 | − | 1.04451i | ||||
\(43\) | − | 13220.1i | − | 1.09034i | −0.838325 | − | 0.545171i | \(-0.816465\pi\) | ||
0.838325 | − | 0.545171i | \(-0.183535\pi\) | |||||||
\(44\) | −7289.53 | + | 1783.61i | −0.567633 | + | 0.138889i | ||||
\(45\) | 8833.70 | − | 10606.1i | 0.650296 | − | 0.780772i | ||||
\(46\) | 628.824 | − | 204.317i | 0.0438162 | − | 0.0142367i | ||||
\(47\) | 5657.77 | − | 7787.25i | 0.373594 | − | 0.514209i | −0.580279 | − | 0.814418i | \(-0.697056\pi\) |
0.953873 | + | 0.300209i | \(0.0970565\pi\) | |||||||
\(48\) | −328.216 | − | 1136.78i | −0.0205616 | − | 0.0712152i | ||||
\(49\) | −8454.59 | + | 26020.6i | −0.503040 | + | 1.54820i | ||||
\(50\) | 114.423 | − | 352.159i | 0.00647277 | − | 0.0199211i | ||||
\(51\) | 3802.18 | + | 13168.9i | 0.204695 | + | 0.708962i | ||||
\(52\) | 9100.86 | − | 12526.3i | 0.466739 | − | 0.642411i | ||||
\(53\) | −18113.9 | + | 5885.58i | −0.885775 | + | 0.287806i | −0.716353 | − | 0.697738i | \(-0.754190\pi\) |
−0.169422 | + | 0.985544i | \(0.554190\pi\) | |||||||
\(54\) | 11925.6 | − | 6972.73i | 0.556540 | − | 0.325400i | ||||
\(55\) | −17398.1 | − | 14729.0i | −0.775522 | − | 0.656549i | ||||
\(56\) | 38858.0i | 1.65581i | ||||||||
\(57\) | −60.2791 | + | 1821.63i | −0.00245742 | + | 0.0742630i | ||||
\(58\) | 9983.73 | + | 7253.60i | 0.389693 | + | 0.283129i | ||||
\(59\) | −11850.4 | − | 16310.7i | −0.443204 | − | 0.610018i | 0.527716 | − | 0.849421i | \(-0.323048\pi\) |
−0.970920 | + | 0.239403i | \(0.923048\pi\) | |||||||
\(60\) | −10170.4 | + | 13066.7i | −0.364721 | + | 0.468585i | ||||
\(61\) | 16929.4 | + | 5500.68i | 0.582527 | + | 0.189274i | 0.585432 | − | 0.810721i | \(-0.300925\pi\) |
−0.00290549 | + | 0.999996i | \(0.500925\pi\) | |||||||
\(62\) | 29885.9 | − | 21713.4i | 0.987386 | − | 0.717378i | ||||
\(63\) | −49506.1 | + | 12535.7i | −1.57147 | + | 0.397920i | ||||
\(64\) | 7106.52 | + | 21871.6i | 0.216874 | + | 0.667469i | ||||
\(65\) | 47031.4 | 1.38072 | ||||||||
\(66\) | −11356.7 | − | 19786.9i | −0.320918 | − | 0.559136i | ||||
\(67\) | 21860.9 | 0.594950 | 0.297475 | − | 0.954730i | \(-0.403855\pi\) | ||||
0.297475 | + | 0.954730i | \(0.403855\pi\) | |||||||
\(68\) | −5081.11 | − | 15638.0i | −0.133256 | − | 0.410119i | ||||
\(69\) | −1584.67 | − | 2340.13i | −0.0400696 | − | 0.0591721i | ||||
\(70\) | −35220.6 | + | 25589.3i | −0.859116 | + | 0.624185i | ||||
\(71\) | 49762.3 | + | 16168.7i | 1.17153 | + | 0.380654i | 0.829215 | − | 0.558930i | \(-0.188788\pi\) |
0.342318 | + | 0.939584i | \(0.388788\pi\) | |||||||
\(72\) | −38015.8 | + | 23948.6i | −0.864236 | + | 0.544438i | ||||
\(73\) | 2267.52 | + | 3120.98i | 0.0498017 | + | 0.0685462i | 0.833192 | − | 0.552984i | \(-0.186511\pi\) |
−0.783390 | + | 0.621531i | \(0.786511\pi\) | |||||||
\(74\) | −25764.1 | − | 18718.7i | −0.546934 | − | 0.397371i | ||||
\(75\) | −1581.88 | − | 52.3456i | −0.0324729 | − | 0.00107455i | ||||
\(76\) | − | 2186.44i | − | 0.0434215i | ||||||
\(77\) | 20044.9 | + | 81922.4i | 0.385280 | + | 1.57462i | ||||
\(78\) | 44261.0 | + | 16018.1i | 0.823729 | + | 0.298109i | ||||
\(79\) | 17238.9 | − | 5601.25i | 0.310771 | − | 0.100976i | −0.149479 | − | 0.988765i | \(-0.547760\pi\) |
0.460250 | + | 0.887789i | \(0.347760\pi\) | |||||||
\(80\) | −2534.23 | + | 3488.07i | −0.0442712 | + | 0.0609341i | ||||
\(81\) | −42775.1 | − | 40707.2i | −0.724400 | − | 0.689380i | ||||
\(82\) | 12799.7 | − | 39393.4i | 0.210216 | − | 0.646977i | ||||
\(83\) | 4034.30 | − | 12416.3i | 0.0642796 | − | 0.197832i | −0.913759 | − | 0.406257i | \(-0.866834\pi\) |
0.978038 | + | 0.208425i | \(0.0668337\pi\) | |||||||
\(84\) | 58858.3 | − | 16993.8i | 0.910142 | − | 0.262780i | ||||
\(85\) | 29357.5 | − | 40407.1i | 0.440729 | − | 0.606611i | ||||
\(86\) | −45852.7 | + | 14898.4i | −0.668526 | + | 0.217217i | ||||
\(87\) | 17950.6 | − | 49600.7i | 0.254261 | − | 0.702570i | ||||
\(88\) | 39045.0 | + | 63098.3i | 0.537476 | + | 0.868583i | ||||
\(89\) | 29686.6i | 0.397270i | 0.980074 | + | 0.198635i | \(0.0636509\pi\) | ||||
−0.980074 | + | 0.198635i | \(0.936349\pi\) | |||||||
\(90\) | −46741.5 | − | 18686.3i | −0.608270 | − | 0.243174i | ||||
\(91\) | −140775. | − | 102279.i | −1.78206 | − | 1.29474i | ||||
\(92\) | 1992.79 | + | 2742.84i | 0.0245466 | + | 0.0337855i | ||||
\(93\) | −124606. | − | 96986.6i | −1.49393 | − | 1.16280i | ||||
\(94\) | −33385.4 | − | 10847.6i | −0.389706 | − | 0.126623i | ||||
\(95\) | 5373.04 | − | 3903.74i | 0.0610817 | − | 0.0443785i | ||||
\(96\) | 72797.3 | − | 49296.2i | 0.806189 | − | 0.545928i | ||||
\(97\) | −1768.78 | − | 5443.76i | −0.0190873 | − | 0.0587448i | 0.941059 | − | 0.338242i | \(-0.109832\pi\) |
−0.960147 | + | 0.279497i | \(0.909832\pi\) | |||||||
\(98\) | 99778.0 | 1.04947 | ||||||||
\(99\) | −67793.0 | + | 70100.0i | −0.695179 | + | 0.718837i | ||||
\(100\) | 1898.68 | 0.0189868 | ||||||||
\(101\) | −26881.8 | − | 82733.6i | −0.262213 | − | 0.807010i | −0.992322 | − | 0.123679i | \(-0.960531\pi\) |
0.730109 | − | 0.683331i | \(-0.239469\pi\) | |||||||
\(102\) | 41390.2 | − | 28028.2i | 0.393910 | − | 0.266744i | ||||
\(103\) | −49220.0 | + | 35760.4i | −0.457139 | + | 0.332131i | −0.792408 | − | 0.609992i | \(-0.791173\pi\) |
0.335269 | + | 0.942122i | \(0.391173\pi\) | |||||||
\(104\) | −145599. | − | 47308.1i | −1.32001 | − | 0.428896i | ||||
\(105\) | 146849. | + | 114299.i | 1.29986 | + | 1.01174i | ||||
\(106\) | 40827.2 | + | 56193.8i | 0.352927 | + | 0.485762i | ||||
\(107\) | 50413.7 | + | 36627.7i | 0.425685 | + | 0.309279i | 0.779921 | − | 0.625878i | \(-0.215259\pi\) |
−0.354236 | + | 0.935156i | \(0.615259\pi\) | |||||||
\(108\) | 52900.4 | + | 47109.1i | 0.436415 | + | 0.388638i | ||||
\(109\) | − | 7605.35i | − | 0.0613130i | −0.999530 | − | 0.0306565i | \(-0.990240\pi\) | ||
0.999530 | − | 0.0306565i | \(-0.00975980\pi\) | |||||||
\(110\) | −31479.5 | + | 76942.5i | −0.248054 | + | 0.606296i | ||||
\(111\) | −46323.4 | + | 128000.i | −0.356856 | + | 0.986057i | ||||
\(112\) | 15171.0 | − | 4929.34i | 0.114279 | − | 0.0371316i | ||||
\(113\) | 99030.2 | − | 136303.i | 0.729578 | − | 1.00418i | −0.269573 | − | 0.962980i | \(-0.586883\pi\) |
0.999151 | − | 0.0411977i | \(-0.0131174\pi\) | |||||||
\(114\) | 6386.09 | − | 1843.82i | 0.0460228 | − | 0.0132879i | ||||
\(115\) | −3182.36 | + | 9794.30i | −0.0224391 | + | 0.0690603i | ||||
\(116\) | −19554.1 | + | 60181.2i | −0.134925 | + | 0.415256i | ||||
\(117\) | 13301.1 | − | 200759.i | 0.0898303 | − | 1.35585i | ||||
\(118\) | −43217.3 | + | 59483.5i | −0.285728 | + | 0.393271i | ||||
\(119\) | −175746. | + | 57103.4i | −1.13767 | + | 0.369653i | ||||
\(120\) | 153949. | + | 55714.5i | 0.975944 | + | 0.353196i | ||||
\(121\) | 114866. | + | 112886.i | 0.713227 | + | 0.700933i | ||||
\(122\) | − | 64917.0i | − | 0.394874i | ||||||
\(123\) | −176953. | − | 5855.52i | −1.05462 | − | 0.0348982i | ||||
\(124\) | 153245. | + | 111339.i | 0.895018 | + | 0.650269i | ||||
\(125\) | −100947. | − | 138941.i | −0.577852 | − | 0.795346i | ||||
\(126\) | 99270.0 | + | 157580.i | 0.557047 | + | 0.884251i | ||||
\(127\) | 101468. | + | 32968.8i | 0.558236 | + | 0.181382i | 0.574527 | − | 0.818485i | \(-0.305186\pi\) |
−0.0162913 | + | 0.999867i | \(0.505186\pi\) | |||||||
\(128\) | −78158.6 | + | 56785.6i | −0.421650 | + | 0.306347i | ||||
\(129\) | 115551. | + | 170638.i | 0.611363 | + | 0.902819i | ||||
\(130\) | −53002.3 | − | 163124.i | −0.275065 | − | 0.846564i | ||||
\(131\) | 360609. | 1.83594 | 0.917971 | − | 0.396649i | \(-0.129827\pi\) | ||||
0.917971 | + | 0.396649i | \(0.129827\pi\) | |||||||
\(132\) | 78499.6 | − | 86736.5i | 0.392132 | − | 0.433278i | ||||
\(133\) | −24572.1 | −0.120452 | ||||||||
\(134\) | −24636.2 | − | 75822.5i | −0.118526 | − | 0.364784i | ||||
\(135\) | −21317.4 | + | 214109.i | −0.100670 | + | 1.01112i | ||||
\(136\) | −131529. | + | 95561.7i | −0.609783 | + | 0.443033i | ||||
\(137\) | 12345.5 | + | 4011.30i | 0.0561963 | + | 0.0182593i | 0.336980 | − | 0.941512i | \(-0.390594\pi\) |
−0.280784 | + | 0.959771i | \(0.590594\pi\) | |||||||
\(138\) | −6330.68 | + | 8133.50i | −0.0282978 | + | 0.0363563i | ||||
\(139\) | −78268.7 | − | 107728.i | −0.343598 | − | 0.472922i | 0.601890 | − | 0.798579i | \(-0.294415\pi\) |
−0.945488 | + | 0.325657i | \(0.894415\pi\) | |||||||
\(140\) | −180600. | − | 131213.i | −0.778748 | − | 0.565793i | ||||
\(141\) | −4962.48 | + | 149966.i | −0.0210209 | + | 0.635249i | ||||
\(142\) | − | 190818.i | − | 0.794141i | ||||||
\(143\) | −331364. | − | 24630.0i | −1.35508 | − | 0.100722i | ||||
\(144\) | 14172.5 | + | 11804.1i | 0.0569562 | + | 0.0474382i | ||||
\(145\) | −182804. | + | 59396.6i | −0.722047 | + | 0.234607i | ||||
\(146\) | 8269.43 | − | 11381.9i | 0.0321066 | − | 0.0441909i | ||||
\(147\) | −118307. | − | 409757.i | −0.451562 | − | 1.56399i | ||||
\(148\) | 50461.3 | − | 155304.i | 0.189367 | − | 0.582812i | ||||
\(149\) | 29369.9 | − | 90391.3i | 0.108377 | − | 0.333550i | −0.882131 | − | 0.471004i | \(-0.843892\pi\) |
0.990508 | + | 0.137454i | \(0.0438918\pi\) | |||||||
\(150\) | 1601.15 | + | 5545.61i | 0.00581038 | + | 0.0201243i | ||||
\(151\) | 272.876 | − | 375.582i | 0.000973920 | − | 0.00134049i | −0.808530 | − | 0.588455i | \(-0.799736\pi\) |
0.809504 | + | 0.587115i | \(0.199736\pi\) | |||||||
\(152\) | −20560.5 | + | 6680.51i | −0.0721813 | + | 0.0234531i | ||||
\(153\) | −164180. | − | 136743.i | −0.567010 | − | 0.472257i | ||||
\(154\) | 261551. | − | 161847.i | 0.888699 | − | 0.549923i | ||||
\(155\) | 575377.i | 1.92364i | ||||||||
\(156\) | −7982.44 | + | 241229.i | −0.0262618 | + | 0.793629i | ||||
\(157\) | 277830. | + | 201856.i | 0.899561 | + | 0.653569i | 0.938353 | − | 0.345678i | \(-0.112351\pi\) |
−0.0387923 | + | 0.999247i | \(0.512351\pi\) | |||||||
\(158\) | −38854.9 | − | 53479.1i | −0.123823 | − | 0.170428i | ||||
\(159\) | 182362. | − | 234294.i | 0.572059 | − | 0.734967i | ||||
\(160\) | −304683. | − | 98997.6i | −0.940911 | − | 0.305721i | ||||
\(161\) | 30825.0 | − | 22395.7i | 0.0937214 | − | 0.0680926i | ||||
\(162\) | −92983.8 | + | 194237.i | −0.278368 | + | 0.581492i | ||||
\(163\) | −34185.5 | − | 105212.i | −0.100780 | − | 0.310168i | 0.887937 | − | 0.459965i | \(-0.152138\pi\) |
−0.988717 | + | 0.149797i | \(0.952138\pi\) | |||||||
\(164\) | 212392. | 0.616634 | ||||||||
\(165\) | 353305. | + | 38045.6i | 1.01027 | + | 0.108791i | ||||
\(166\) | −47611.3 | −0.134103 | ||||||||
\(167\) | −44850.9 | − | 138037.i | −0.124446 | − | 0.383004i | 0.869354 | − | 0.494190i | \(-0.164535\pi\) |
−0.993800 | + | 0.111185i | \(0.964535\pi\) | |||||||
\(168\) | −339641. | − | 501558.i | −0.928424 | − | 1.37103i | ||||
\(169\) | 254240. | − | 184716.i | 0.684742 | − | 0.497494i | ||||
\(170\) | −173233. | − | 56286.8i | −0.459736 | − | 0.149377i | ||||
\(171\) | −15144.0 | − | 24039.5i | −0.0396051 | − | 0.0628687i | ||||
\(172\) | −145310. | − | 200003.i | −0.374520 | − | 0.515483i | ||||
\(173\) | 59652.2 | + | 43339.8i | 0.151534 | + | 0.110096i | 0.660969 | − | 0.750413i | \(-0.270145\pi\) |
−0.509435 | + | 0.860509i | \(0.670145\pi\) | |||||||
\(174\) | −192265. | − | 6362.20i | −0.481424 | − | 0.0159307i | ||||
\(175\) | − | 21338.1i | − | 0.0526697i | ||||||
\(176\) | 19681.8 | − | 23248.3i | 0.0478943 | − | 0.0565732i | ||||
\(177\) | 295523. | + | 106950.i | 0.709021 | + | 0.256596i | ||||
\(178\) | 102965. | − | 33455.5i | 0.243580 | − | 0.0791439i | ||||
\(179\) | 387161. | − | 532881.i | 0.903148 | − | 1.24308i | −0.0663054 | − | 0.997799i | \(-0.521121\pi\) |
0.969453 | − | 0.245277i | \(-0.0788788\pi\) | |||||||
\(180\) | 17064.0 | − | 257553.i | 0.0392553 | − | 0.592497i | ||||
\(181\) | −242067. | + | 745004.i | −0.549210 | + | 1.69029i | 0.161554 | + | 0.986864i | \(0.448349\pi\) |
−0.710764 | + | 0.703430i | \(0.751651\pi\) | |||||||
\(182\) | −196098. | + | 603528.i | −0.438829 | + | 1.35058i | ||||
\(183\) | −266594. | + | 76972.3i | −0.588468 | + | 0.169905i | ||||
\(184\) | 19703.8 | − | 27120.0i | 0.0429048 | − | 0.0590534i | ||||
\(185\) | 471745. | − | 153279.i | 1.01339 | − | 0.329271i | ||||
\(186\) | −195964. | + | 541484.i | −0.415331 | + | 1.14763i | ||||
\(187\) | −228002. | + | 269318.i | −0.476798 | + | 0.563197i | ||||
\(188\) | − | 179999.i | − | 0.371429i | ||||||
\(189\) | 529429. | − | 594515.i | 1.07809 | − | 1.21062i | ||||
\(190\) | −19595.0 | − | 14236.6i | −0.0393786 | − | 0.0286102i | ||||
\(191\) | 491438. | + | 676406.i | 0.974731 | + | 1.34160i | 0.939620 | + | 0.342219i | \(0.111179\pi\) |
0.0351112 | + | 0.999383i | \(0.488821\pi\) | |||||||
\(192\) | −282898. | − | 220192.i | −0.553830 | − | 0.431071i | ||||
\(193\) | 410394. | + | 133345.i | 0.793063 | + | 0.257682i | 0.677408 | − | 0.735608i | \(-0.263103\pi\) |
0.115655 | + | 0.993289i | \(0.463103\pi\) | |||||||
\(194\) | −16887.8 | + | 12269.7i | −0.0322159 | + | 0.0234062i | ||||
\(195\) | −607056. | + | 411081.i | −1.14325 | + | 0.774178i | ||||
\(196\) | 158102. | + | 486587.i | 0.293966 | + | 0.904733i | ||||
\(197\) | −540996. | −0.993180 | −0.496590 | − | 0.867985i | \(-0.665415\pi\) | ||||
−0.496590 | + | 0.867985i | \(0.665415\pi\) | |||||||
\(198\) | 319535. | + | 156134.i | 0.579236 | + | 0.283032i | ||||
\(199\) | −865900. | −1.55001 | −0.775006 | − | 0.631954i | \(-0.782253\pi\) | ||||
−0.775006 | + | 0.631954i | \(0.782253\pi\) | |||||||
\(200\) | −5801.28 | − | 17854.5i | −0.0102553 | − | 0.0315626i | ||||
\(201\) | −282168. | + | 191076.i | −0.492627 | + | 0.333593i | ||||
\(202\) | −256660. | + | 186474.i | −0.442567 | + | 0.321544i | ||||
\(203\) | 676339. | + | 219756.i | 1.15193 | + | 0.374283i | ||||
\(204\) | 202269. | + | 157436.i | 0.340295 | + | 0.264867i | ||||
\(205\) | 379210. | + | 521938.i | 0.630225 | + | 0.867430i | ||||
\(206\) | 179500. | + | 130415.i | 0.294712 | + | 0.214121i | ||||
\(207\) | 40908.1 | + | 16354.2i | 0.0663565 | + | 0.0265280i | ||||
\(208\) | 62846.3i | 0.100721i | ||||||||
\(209\) | −39900.6 | + | 24690.3i | −0.0631850 | + | 0.0390986i | ||||
\(210\) | 230944. | − | 638141.i | 0.361376 | − | 0.998546i | ||||
\(211\) | −389179. | + | 126452.i | −0.601788 | + | 0.195533i | −0.594038 | − | 0.804437i | \(-0.702467\pi\) |
−0.00775042 | + | 0.999970i | \(0.502467\pi\) | |||||||
\(212\) | −209348. | + | 288143.i | −0.319911 | + | 0.440320i | ||||
\(213\) | −783629. | + | 226253.i | −1.18348 | + | 0.341700i | ||||
\(214\) | 70225.9 | − | 216133.i | 0.104824 | − | 0.322617i | ||||
\(215\) | 232052. | − | 714181.i | 0.342364 | − | 1.05369i | ||||
\(216\) | 281363. | − | 641394.i | 0.410329 | − | 0.935386i | ||||
\(217\) | 1.25127e6 | − | 1.72222e6i | 1.80385 | − | 2.48279i | ||||
\(218\) | −26378.5 | + | 8570.89i | −0.0375931 | + | 0.0122147i | ||||
\(219\) | −56547.1 | − | 20464.5i | −0.0796709 | − | 0.0288330i | ||||
\(220\) | −425106. | − | 31597.8i | −0.592162 | − | 0.0440150i | ||||
\(221\) | − | 728034.i | − | 1.00270i | ||||||
\(222\) | 496161. | + | 16418.3i | 0.675678 | + | 0.0223587i | ||||
\(223\) | 25630.6 | + | 18621.7i | 0.0345141 | + | 0.0250760i | 0.604909 | − | 0.796295i | \(-0.293210\pi\) |
−0.570394 | + | 0.821371i | \(0.693210\pi\) | |||||||
\(224\) | 696691. | + | 958912.i | 0.927727 | + | 1.27691i | ||||
\(225\) | 20875.6 | − | 13150.9i | 0.0274905 | − | 0.0173180i | ||||
\(226\) | −584359. | − | 189870.i | −0.761042 | − | 0.247277i | ||||
\(227\) | −518477. | + | 376696.i | −0.667829 | + | 0.485206i | −0.869298 | − | 0.494289i | \(-0.835428\pi\) |
0.201469 | + | 0.979495i | \(0.435428\pi\) | |||||||
\(228\) | 19110.8 | + | 28221.4i | 0.0243467 | + | 0.0359536i | ||||
\(229\) | −39626.6 | − | 121958.i | −0.0499342 | − | 0.153682i | 0.922980 | − | 0.384848i | \(-0.125746\pi\) |
−0.972914 | + | 0.231166i | \(0.925746\pi\) | |||||||
\(230\) | 37557.0 | 0.0468135 | ||||||||
\(231\) | −974777. | − | 882207.i | −1.20192 | − | 1.08778i | ||||
\(232\) | 625668. | 0.763175 | ||||||||
\(233\) | 280426. | + | 863062.i | 0.338398 | + | 1.04148i | 0.965024 | + | 0.262162i | \(0.0844356\pi\) |
−0.626626 | + | 0.779321i | \(0.715564\pi\) | |||||||
\(234\) | −711304. | + | 180113.i | −0.849211 | + | 0.215033i | ||||
\(235\) | 442336. | − | 321376.i | 0.522495 | − | 0.379615i | ||||
\(236\) | −358563. | − | 116504.i | −0.419069 | − | 0.136164i | ||||
\(237\) | −173552. | + | 222975.i | −0.200705 | + | 0.257861i | ||||
\(238\) | 396116. | + | 545207.i | 0.453294 | + | 0.623905i | ||||
\(239\) | −706601. | − | 513376.i | −0.800165 | − | 0.581354i | 0.110798 | − | 0.993843i | \(-0.464659\pi\) |
−0.910962 | + | 0.412489i | \(0.864659\pi\) | |||||||
\(240\) | 2222.80 | − | 67172.8i | 0.00249099 | − | 0.0752775i | ||||
\(241\) | − | 912585.i | − | 1.01212i | −0.862499 | − | 0.506058i | \(-0.831102\pi\) | ||
0.862499 | − | 0.506058i | \(-0.168898\pi\) | |||||||
\(242\) | 262086. | − | 525620.i | 0.287677 | − | 0.576944i | ||||
\(243\) | 907922. | + | 151549.i | 0.986354 | + | 0.164640i | ||||
\(244\) | 316581. | − | 102863.i | 0.340416 | − | 0.110608i | ||||
\(245\) | −913476. | + | 1.25729e6i | −0.972259 | + | 1.33820i | ||||
\(246\) | 179109. | + | 620346.i | 0.188703 | + | 0.653576i | ||||
\(247\) | 29915.5 | − | 92070.5i | 0.0312000 | − | 0.0960236i | ||||
\(248\) | 578762. | − | 1.78125e6i | 0.597545 | − | 1.83905i | ||||
\(249\) | 56452.9 | + | 195525.i | 0.0577016 | + | 0.199850i | ||||
\(250\) | −368143. | + | 506705.i | −0.372534 | + | 0.512749i | ||||
\(251\) | −796095. | + | 258667.i | −0.797592 | + | 0.259153i | −0.679334 | − | 0.733830i | \(-0.737731\pi\) |
−0.118258 | + | 0.992983i | \(0.537731\pi\) | |||||||
\(252\) | −611175. | + | 733802.i | −0.606268 | + | 0.727909i | ||||
\(253\) | 27550.8 | − | 67340.0i | 0.0270603 | − | 0.0661411i | ||||
\(254\) | − | 389085.i | − | 0.378408i | ||||||
\(255\) | −25749.7 | + | 778154.i | −0.0247983 | + | 0.749403i | ||||
\(256\) | 880401. | + | 639649.i | 0.839616 | + | 0.610017i | ||||
\(257\) | −701227. | − | 965156.i | −0.662256 | − | 0.911517i | 0.337298 | − | 0.941398i | \(-0.390487\pi\) |
−0.999553 | + | 0.0298812i | \(0.990487\pi\) | |||||||
\(258\) | 461621. | − | 593079.i | 0.431754 | − | 0.554706i | ||||
\(259\) | −1.74536e6 | − | 567103.i | −1.61673 | − | 0.525306i | ||||
\(260\) | 711524. | − | 516952.i | 0.652764 | − | 0.474261i | ||||
\(261\) | 201842. | + | 797118.i | 0.183404 | + | 0.724304i | ||||
\(262\) | −406390. | − | 1.25074e6i | −0.365755 | − | 1.12568i | ||||
\(263\) | −1.43358e6 | −1.27801 | −0.639004 | − | 0.769203i | \(-0.720653\pi\) | ||||
−0.639004 | + | 0.769203i | \(0.720653\pi\) | |||||||
\(264\) | −1.05549e6 | − | 473164.i | −0.932058 | − | 0.417832i | ||||
\(265\) | −1.08187e6 | −0.946368 | ||||||||
\(266\) | 27691.6 | + | 85226.0i | 0.0239963 | + | 0.0738530i | ||||
\(267\) | −259478. | − | 383179.i | −0.222752 | − | 0.328945i | ||||
\(268\) | 330727. | − | 240287.i | 0.281276 | − | 0.204359i | ||||
\(269\) | 890842. | + | 289452.i | 0.750619 | + | 0.243891i | 0.659248 | − | 0.751926i | \(-0.270875\pi\) |
0.0913717 | + | 0.995817i | \(0.470875\pi\) | |||||||
\(270\) | 766643. | − | 167354.i | 0.640005 | − | 0.139710i | ||||
\(271\) | 1.11770e6 | + | 1.53838e6i | 0.924490 | + | 1.27245i | 0.961970 | + | 0.273154i | \(0.0880669\pi\) |
−0.0374800 | + | 0.999297i | \(0.511933\pi\) | |||||||
\(272\) | 53994.5 | + | 39229.3i | 0.0442514 | + | 0.0321505i | ||||
\(273\) | 2.71102e6 | + | 89709.6i | 2.20154 | + | 0.0728505i | ||||
\(274\) | − | 47339.8i | − | 0.0380935i | ||||||
\(275\) | −21440.8 | − | 34649.2i | −0.0170966 | − | 0.0276288i | ||||
\(276\) | −49695.8 | − | 17985.0i | −0.0392688 | − | 0.0142114i | ||||
\(277\) | −96764.3 | + | 31440.6i | −0.0757732 | + | 0.0246202i | −0.346658 | − | 0.937991i | \(-0.612684\pi\) |
0.270885 | + | 0.962612i | \(0.412684\pi\) | |||||||
\(278\) | −285438. | + | 392872.i | −0.221513 | + | 0.304887i | ||||
\(279\) | 2.45606e6 | + | 162724.i | 1.88899 | + | 0.125153i | ||||
\(280\) | −682073. | + | 2.09920e6i | −0.519919 | + | 1.60015i | ||||
\(281\) | −325003. | + | 1.00026e6i | −0.245540 | + | 0.755693i | 0.750008 | + | 0.661429i | \(0.230050\pi\) |
−0.995547 | + | 0.0942641i | \(0.969950\pi\) | |||||||
\(282\) | 525735. | − | 151793.i | 0.393681 | − | 0.113665i | ||||
\(283\) | 458566. | − | 631161.i | 0.340357 | − | 0.468462i | −0.604188 | − | 0.796842i | \(-0.706503\pi\) |
0.944546 | + | 0.328380i | \(0.106503\pi\) | |||||||
\(284\) | 930560. | − | 302357.i | 0.684618 | − | 0.222446i | ||||
\(285\) | −35231.4 | + | 97350.8i | −0.0256932 | + | 0.0709949i | ||||
\(286\) | 288005. | + | 1.17706e6i | 0.208202 | + | 0.850912i | ||||
\(287\) | − | 2.38693e6i | − | 1.71055i | ||||||
\(288\) | −508751. | + | 1.27258e6i | −0.361430 | + | 0.904072i | ||||
\(289\) | 523196. | + | 380124.i | 0.368485 | + | 0.267720i | ||||
\(290\) | 412023. | + | 567102.i | 0.287691 | + | 0.395973i | ||||
\(291\) | 70412.0 | + | 54804.9i | 0.0487432 | + | 0.0379391i | ||||
\(292\) | 68609.3 | + | 22292.5i | 0.0470897 | + | 0.0153004i | ||||
\(293\) | −1.68641e6 | + | 1.22525e6i | −1.14761 | + | 0.833787i | −0.988161 | − | 0.153420i | \(-0.950971\pi\) |
−0.159448 | + | 0.987206i | \(0.550971\pi\) | |||||||
\(294\) | −1.28788e6 | + | 872115.i | −0.868975 | + | 0.588445i | ||||
\(295\) | −353888. | − | 1.08915e6i | −0.236761 | − | 0.728676i | ||||
\(296\) | −1.61460e6 | −1.07112 | ||||||||
\(297\) | 262321. | − | 1.49736e6i | 0.172561 | − | 0.984999i | ||||
\(298\) | −346613. | −0.226102 | ||||||||
\(299\) | 46387.5 | + | 142766.i | 0.0300070 | + | 0.0923521i | ||||
\(300\) | −24507.2 | + | 16595.6i | −0.0157214 | + | 0.0106461i | ||||
\(301\) | −2.24770e6 | + | 1.63305e6i | −1.42996 | + | 1.03892i | ||||
\(302\) | −1610.19 | − | 523.183i | −0.00101592 | − | 0.000330093i | ||||
\(303\) | 1.07011e6 | + | 832919.i | 0.669612 | + | 0.521190i | ||||
\(304\) | 5216.42 | + | 7179.79i | 0.00323734 | + | 0.00445582i | ||||
\(305\) | 818012. | + | 594321.i | 0.503512 | + | 0.365823i | ||||
\(306\) | −289259. | + | 723547.i | −0.176597 | + | 0.441736i | ||||
\(307\) | 1.94144e6i | 1.17565i | 0.808988 | + | 0.587825i | \(0.200016\pi\) | ||||
−0.808988 | + | 0.587825i | \(0.799984\pi\) | |||||||
\(308\) | 1.20371e6 | + | 1.01905e6i | 0.723014 | + | 0.612097i | ||||
\(309\) | 322739. | − | 891786.i | 0.192289 | − | 0.531330i | ||||
\(310\) | 1.99564e6 | − | 648424.i | 1.17945 | − | 0.383226i | ||||
\(311\) | 1.64750e6 | − | 2.26759e6i | 0.965881 | − | 1.32942i | 0.0217810 | − | 0.999763i | \(-0.493066\pi\) |
0.944100 | − | 0.329659i | \(-0.106934\pi\) | |||||||
\(312\) | 2.29282e6 | − | 661992.i | 1.33347 | − | 0.385005i | ||||
\(313\) | 465690. | − | 1.43325e6i | 0.268680 | − | 0.826913i | −0.722142 | − | 0.691745i | \(-0.756842\pi\) |
0.990823 | − | 0.135169i | \(-0.0431576\pi\) | |||||||
\(314\) | 387016. | − | 1.19111e6i | 0.221516 | − | 0.681755i | ||||
\(315\) | −2.89448e6 | − | 191771.i | −1.64359 | − | 0.108895i | ||||
\(316\) | 199235. | − | 274223.i | 0.112240 | − | 0.154485i | ||||
\(317\) | −382279. | + | 124210.i | −0.213664 | + | 0.0694238i | −0.413893 | − | 0.910325i | \(-0.635831\pi\) |
0.200229 | + | 0.979749i | \(0.435831\pi\) | |||||||
\(318\) | −1.01814e6 | − | 368467.i | −0.564599 | − | 0.204329i | ||||
\(319\) | 1.31907e6 | − | 322751.i | 0.725755 | − | 0.177578i | ||||
\(320\) | 1.30630e6i | 0.713129i | ||||||||
\(321\) | −970859. | − | 32126.5i | −0.525888 | − | 0.0174020i | ||||
\(322\) | −112416. | − | 81674.9i | −0.0604210 | − | 0.0438985i | ||||
\(323\) | −60429.0 | − | 83173.3i | −0.0322284 | − | 0.0443586i | ||||
\(324\) | −1.09457e6 | − | 145679.i | −0.579270 | − | 0.0770964i | ||||
\(325\) | 79953.0 | + | 25978.3i | 0.0419881 | + | 0.0136428i | ||||
\(326\) | −326393. | + | 237138.i | −0.170097 | + | 0.123583i | ||||
\(327\) | 66475.0 | + | 98165.7i | 0.0343787 | + | 0.0507681i | ||||
\(328\) | −648946. | − | 1.99725e6i | −0.333061 | − | 1.02506i | ||||
\(329\) | −2.02290e6 | −1.03035 | ||||||||
\(330\) | −266201. | − | 1.26828e6i | −0.134563 | − | 0.641107i | ||||
\(331\) | −1.93267e6 | −0.969587 | −0.484794 | − | 0.874629i | \(-0.661105\pi\) | ||||
−0.484794 | + | 0.874629i | \(0.661105\pi\) | |||||||
\(332\) | −75441.8 | − | 232186.i | −0.0375636 | − | 0.115609i | ||||
\(333\) | −520874. | − | 2.05705e6i | −0.257408 | − | 1.01656i | ||||
\(334\) | −428223. | + | 311123.i | −0.210041 | + | 0.152604i | ||||
\(335\) | 1.18098e6 | + | 383723.i | 0.574950 | + | 0.186813i | ||||
\(336\) | −152733. | + | 196228.i | −0.0738050 | + | 0.0948228i | ||||
\(337\) | −1.95903e6 | − | 2.69637e6i | −0.939649 | − | 1.29332i | −0.955975 | − | 0.293449i | \(-0.905197\pi\) |
0.0163253 | − | 0.999867i | \(-0.494803\pi\) | |||||||
\(338\) | −927188. | − | 673642.i | −0.441444 | − | 0.320728i | ||||
\(339\) | −86860.3 | + | 2.62491e6i | −0.0410508 | + | 1.24055i | ||||
\(340\) | − | 933994.i | − | 0.438174i | ||||||
\(341\) | 301321. | − | 4.05387e6i | 0.140328 | − | 1.88792i | ||||
\(342\) | −66312.2 | + | 79617.1i | −0.0306569 | + | 0.0368079i | ||||
\(343\) | 2.10918e6 | − | 685316.i | 0.968009 | − | 0.314525i | ||||
\(344\) | −1.43676e6 | + | 1.97754e6i | −0.654620 | + | 0.901008i | ||||
\(345\) | −44531.5 | − | 154235.i | −0.0201428 | − | 0.0697647i | ||||
\(346\) | 83095.1 | − | 255740.i | 0.0373151 | − | 0.114844i | ||||
\(347\) | −365441. | + | 1.12471e6i | −0.162927 | + | 0.501438i | −0.998878 | − | 0.0473667i | \(-0.984917\pi\) |
0.835950 | + | 0.548805i | \(0.184917\pi\) | |||||||
\(348\) | −273625. | − | 947701.i | −0.121118 | − | 0.419491i | ||||
\(349\) | 610605. | − | 840425.i | 0.268347 | − | 0.369348i | −0.653484 | − | 0.756940i | \(-0.726693\pi\) |
0.921831 | + | 0.387593i | \(0.126693\pi\) | |||||||
\(350\) | −74009.3 | + | 24047.1i | −0.0322936 | + | 0.0104928i | ||||
\(351\) | 1.58306e6 | + | 2.70755e6i | 0.685852 | + | 1.17303i | ||||
\(352\) | 2.09483e6 | + | 857057.i | 0.901139 | + | 0.368683i | ||||
\(353\) | 3.52494e6i | 1.50562i | 0.658238 | + | 0.752810i | \(0.271302\pi\) | ||||
−0.658238 | + | 0.752810i | \(0.728698\pi\) | |||||||
\(354\) | 37906.3 | − | 1.14553e6i | 0.0160769 | − | 0.485844i | ||||
\(355\) | 2.40447e6 | + | 1.74695e6i | 1.01263 | + | 0.735715i | ||||
\(356\) | 326305. | + | 449120.i | 0.136458 | + | 0.187818i | ||||
\(357\) | 1.76932e6 | − | 2.27318e6i | 0.734744 | − | 0.943981i | ||||
\(358\) | −2.28456e6 | − | 742300.i | −0.942097 | − | 0.306106i | ||||
\(359\) | 309369. | − | 224769.i | 0.126689 | − | 0.0920452i | −0.522636 | − | 0.852556i | \(-0.675051\pi\) |
0.649325 | + | 0.760511i | \(0.275051\pi\) | |||||||
\(360\) | −2.47407e6 | + | 626472.i | −1.00614 | + | 0.254768i | ||||
\(361\) | 760932. | + | 2.34191e6i | 0.307311 | + | 0.945806i | ||||
\(362\) | 2.85678e6 | 1.14579 | ||||||||
\(363\) | −2.46931e6 | − | 453077.i | −0.983580 | − | 0.180470i | ||||
\(364\) | −3.25395e6 | −1.28723 | ||||||||
\(365\) | 67714.8 | + | 208405.i | 0.0266043 | + | 0.0818795i | ||||
\(366\) | 567411. | + | 837913.i | 0.221409 | + | 0.326961i | ||||
\(367\) | 2.13451e6 | − | 1.55081e6i | 0.827241 | − | 0.601026i | −0.0915363 | − | 0.995802i | \(-0.529178\pi\) |
0.918777 | + | 0.394776i | \(0.129178\pi\) | |||||||
\(368\) | −13087.7 | − | 4252.47i | −0.00503785 | − | 0.00163690i | ||||
\(369\) | 2.33520e6 | − | 1.47109e6i | 0.892808 | − | 0.562437i | ||||
\(370\) | −1.06327e6 | − | 1.46347e6i | −0.403775 | − | 0.555748i | ||||
\(371\) | 3.23826e6 | + | 2.35273e6i | 1.22145 | + | 0.887437i | ||||
\(372\) | −2.95117e6 | − | 97656.4i | −1.10570 | − | 0.0365884i | ||||
\(373\) | 685829.i | 0.255237i | 0.991823 | + | 0.127619i | \(0.0407334\pi\) | ||||
−0.991823 | + | 0.127619i | \(0.959267\pi\) | |||||||
\(374\) | 1.19105e6 | + | 487295.i | 0.440303 | + | 0.180141i | ||||
\(375\) | 2.51739e6 | + | 911047.i | 0.924426 | + | 0.334551i | ||||
\(376\) | −1.69264e6 | + | 549973.i | −0.617442 | + | 0.200619i | ||||
\(377\) | −1.64683e6 | + | 2.26667e6i | −0.596755 | + | 0.821363i | ||||
\(378\) | −2.65866e6 | − | 1.16629e6i | −0.957049 | − | 0.419832i | ||||
\(379\) | 74748.0 | − | 230051.i | 0.0267302 | − | 0.0822670i | −0.936801 | − | 0.349861i | \(-0.886229\pi\) |
0.963532 | + | 0.267594i | \(0.0862287\pi\) | |||||||
\(380\) | 38378.6 | − | 118117.i | 0.0136342 | − | 0.0419618i | ||||
\(381\) | −1.59785e6 | + | 461340.i | −0.563929 | + | 0.162820i | ||||
\(382\) | 1.79223e6 | − | 2.46679e6i | 0.628397 | − | 0.864914i | ||||
\(383\) | 5.06165e6 | − | 1.64463e6i | 1.76317 | − | 0.572890i | 0.765652 | − | 0.643255i | \(-0.222417\pi\) |
0.997521 | + | 0.0703658i | \(0.0224166\pi\) | |||||||
\(384\) | 512492. | − | 1.41611e6i | 0.177361 | − | 0.490082i | ||||
\(385\) | −355108. | + | 4.77750e6i | −0.122098 | + | 1.64266i | ||||
\(386\) | − | 1.57369e6i | − | 0.537589i | ||||||
\(387\) | −2.98294e6 | − | 1.19252e6i | −1.01243 | − | 0.404751i | ||||
\(388\) | −86595.2 | − | 62915.1i | −0.0292021 | − | 0.0212166i | ||||
\(389\) | −1.25011e6 | − | 1.72062e6i | −0.418864 | − | 0.576517i | 0.546488 | − | 0.837467i | \(-0.315964\pi\) |
−0.965352 | + | 0.260950i | \(0.915964\pi\) | |||||||
\(390\) | 2.10992e6 | + | 1.64225e6i | 0.702433 | + | 0.546736i | ||||
\(391\) | 151613. | + | 49262.1i | 0.0501528 | + | 0.0162956i | ||||
\(392\) | 4.09262e6 | − | 2.97346e6i | 1.34520 | − | 0.977343i | ||||
\(393\) | −4.65455e6 | + | 3.15193e6i | −1.52018 | + | 1.02943i | ||||
\(394\) | 609678. | + | 1.87640e6i | 0.197861 | + | 0.608953i | ||||
\(395\) | 1.02960e6 | 0.332030 | ||||||||
\(396\) | −255105. | + | 1.80568e6i | −0.0817486 | + | 0.578632i | ||||
\(397\) | 809498. | 0.257774 | 0.128887 | − | 0.991659i | \(-0.458860\pi\) | ||||
0.128887 | + | 0.991659i | \(0.458860\pi\) | |||||||
\(398\) | 975830. | + | 3.00330e6i | 0.308792 | + | 0.950365i | ||||
\(399\) | 317163. | − | 214774.i | 0.0997356 | − | 0.0675381i | ||||
\(400\) | −6234.84 | + | 4529.88i | −0.00194839 | + | 0.00141559i | ||||
\(401\) | −2.48451e6 | − | 807266.i | −0.771578 | − | 0.250701i | −0.103337 | − | 0.994646i | \(-0.532952\pi\) |
−0.668240 | + | 0.743946i | \(0.732952\pi\) | |||||||
\(402\) | 980722. | + | 763342.i | 0.302678 | + | 0.235588i | ||||
\(403\) | 4.92973e6 | + | 6.78519e6i | 1.51203 | + | 2.08113i | ||||
\(404\) | −1.31606e6 | − | 956177.i | −0.401166 | − | 0.291464i | ||||
\(405\) | −1.59628e6 | − | 2.94993e6i | −0.483584 | − | 0.893665i | ||||
\(406\) | − | 2.59348e6i | − | 0.780849i | ||||||
\(407\) | −3.40399e6 | + | 832892.i | −1.01860 | + | 0.249231i | ||||
\(408\) | 862447. | − | 2.38310e6i | 0.256497 | − | 0.708748i | ||||
\(409\) | −3.97909e6 | + | 1.29288e6i | −1.17618 | + | 0.382166i | −0.830948 | − | 0.556350i | \(-0.812201\pi\) |
−0.345237 | + | 0.938516i | \(0.612201\pi\) | |||||||
\(410\) | 1.38294e6 | − | 1.90346e6i | 0.406298 | − | 0.559221i | ||||
\(411\) | −194410. | + | 56131.0i | −0.0567694 | + | 0.0163907i | ||||
\(412\) | −351568. | + | 1.08202e6i | −0.102039 | + | 0.314044i | ||||
\(413\) | −1.30932e6 | + | 4.02966e6i | −0.377719 | + | 1.16250i | ||||
\(414\) | 10621.6 | − | 160316.i | 0.00304572 | − | 0.0459703i | ||||
\(415\) | 435886. | − | 599945.i | 0.124237 | − | 0.170998i | ||||
\(416\) | −4.44120e6 | + | 1.44303e6i | −1.25825 | + | 0.408830i | ||||
\(417\) | 1.95185e6 | + | 706377.i | 0.549675 | + | 0.198928i | ||||
\(418\) | 130602. | + | 110567.i | 0.0365604 | + | 0.0309517i | ||||
\(419\) | 1.91587e6i | 0.533129i | 0.963817 | + | 0.266564i | \(0.0858885\pi\) | ||||
−0.963817 | + | 0.266564i | \(0.914112\pi\) | |||||||
\(420\) | 3.47796e6 | + | 115088.i | 0.962058 | + | 0.0318352i | ||||
\(421\) | −2.21589e6 | − | 1.60994e6i | −0.609316 | − | 0.442694i | 0.239857 | − | 0.970808i | \(-0.422899\pi\) |
−0.849173 | + | 0.528114i | \(0.822899\pi\) | |||||||
\(422\) | 877175. | + | 1.20733e6i | 0.239776 | + | 0.330023i | ||||
\(423\) | −1.24673e6 | − | 1.97905e6i | −0.338783 | − | 0.537782i | ||||
\(424\) | 3.34924e6 | + | 1.08823e6i | 0.904756 | + | 0.293973i | ||||
\(425\) | 72226.8 | − | 52475.8i | 0.0193966 | − | 0.0140925i | ||||
\(426\) | 1.66785e6 | + | 2.46297e6i | 0.445280 | + | 0.657560i | ||||
\(427\) | −1.15602e6 | − | 3.55785e6i | −0.306827 | − | 0.944317i | ||||
\(428\) | 1.16529e6 | 0.307486 | ||||||||
\(429\) | 4.49235e6 | − | 2.57840e6i | 1.17850 | − | 0.676404i | ||||
\(430\) | −2.73859e6 | −0.714258 | ||||||||
\(431\) | −836269. | − | 2.57377e6i | −0.216847 | − | 0.667386i | −0.999017 | − | 0.0443213i | \(-0.985887\pi\) |
0.782171 | − | 0.623064i | \(-0.214113\pi\) | |||||||
\(432\) | −286106. | − | 28485.6i | −0.0737595 | − | 0.00734372i | ||||
\(433\) | −3.26271e6 | + | 2.37050e6i | −0.836293 | + | 0.607603i | −0.921333 | − | 0.388775i | \(-0.872898\pi\) |
0.0850396 | + | 0.996378i | \(0.472898\pi\) | |||||||
\(434\) | −7.38350e6 | − | 2.39904e6i | −1.88165 | − | 0.611384i | ||||
\(435\) | 1.84037e6 | − | 2.36447e6i | 0.466319 | − | 0.599115i | ||||
\(436\) | −83595.3 | − | 115059.i | −0.0210603 | − | 0.0289871i | ||||
\(437\) | 17149.5 | + | 12459.8i | 0.00429583 | + | 0.00312110i | ||||
\(438\) | −7253.19 | + | 219191.i | −0.00180653 | + | 0.0545930i | ||||
\(439\) | − | 5.62831e6i | − | 1.39385i | −0.717144 | − | 0.696925i | \(-0.754551\pi\) | ||
0.717144 | − | 0.696925i | \(-0.245449\pi\) | |||||||
\(440\) | 1.00174e6 | + | 4.09408e6i | 0.246675 | + | 1.00815i | ||||
\(441\) | 5.10855e6 | + | 4.25486e6i | 1.25084 | + | 1.04181i | ||||
\(442\) | −2.52512e6 | + | 820462.i | −0.614790 | + | 0.199757i | ||||
\(443\) | 3.67278e6 | − | 5.05514e6i | 0.889171 | − | 1.22384i | −0.0846244 | − | 0.996413i | \(-0.526969\pi\) |
0.973795 | − | 0.227426i | \(-0.0730310\pi\) | |||||||
\(444\) | 706117. | + | 2.44564e6i | 0.169988 | + | 0.588756i | ||||
\(445\) | −521089. | + | 1.60375e6i | −0.124742 | + | 0.383915i | ||||
\(446\) | 35703.2 | − | 109883.i | 0.00849905 | − | 0.0261574i | ||||
\(447\) | 410980. | + | 1.42343e6i | 0.0972863 | + | 0.336952i | ||||
\(448\) | 2.84080e6 | − | 3.91003e6i | 0.668722 | − | 0.920417i | ||||
\(449\) | 1.91621e6 | − | 622614.i | 0.448567 | − | 0.145748i | −0.0760179 | − | 0.997106i | \(-0.524221\pi\) |
0.524585 | + | 0.851358i | \(0.324221\pi\) | |||||||
\(450\) | −69138.5 | − | 57584.7i | −0.0160949 | − | 0.0134053i | ||||
\(451\) | −2.39842e6 | − | 3.87595e6i | −0.555245 | − | 0.897298i | ||||
\(452\) | − | 3.15060e6i | − | 0.725349i | ||||||
\(453\) | −239.342 | + | 7232.90i | −5.47991e−5 | + | 0.00165603i | ||||
\(454\) | 1.89084e6 | + | 1.37377e6i | 0.430541 | + | 0.312806i | ||||
\(455\) | −5.80970e6 | − | 7.99637e6i | −1.31560 | − | 1.81077i | ||||
\(456\) | 206992. | − | 265939.i | 0.0466168 | − | 0.0598921i | ||||
\(457\) | −4.76057e6 | − | 1.54680e6i | −1.06627 | − | 0.346453i | −0.277238 | − | 0.960801i | \(-0.589419\pi\) |
−0.789035 | + | 0.614348i | \(0.789419\pi\) | |||||||
\(458\) | −378344. | + | 274883.i | −0.0842797 | + | 0.0612328i | ||||
\(459\) | 3.31436e6 | + | 329988.i | 0.734290 | + | 0.0731082i | ||||
\(460\) | 59510.4 | + | 183154.i | 0.0131129 | + | 0.0403573i | ||||
\(461\) | 5.57175e6 | 1.22107 | 0.610533 | − | 0.791991i | \(-0.290955\pi\) | ||||
0.610533 | + | 0.791991i | \(0.290955\pi\) | |||||||
\(462\) | −1.96133e6 | + | 4.37513e6i | −0.427509 | + | 0.953644i | ||||
\(463\) | 3.05729e6 | 0.662802 | 0.331401 | − | 0.943490i | \(-0.392479\pi\) | ||||
0.331401 | + | 0.943490i | \(0.392479\pi\) | |||||||
\(464\) | −79369.4 | − | 244274.i | −0.0171143 | − | 0.0526723i | ||||
\(465\) | −5.02912e6 | − | 7.42666e6i | −1.07860 | − | 1.59280i | ||||
\(466\) | 2.67743e6 | − | 1.94526e6i | 0.571153 | − | 0.414967i | ||||
\(467\) | 1.89169e6 | + | 614646.i | 0.401381 | + | 0.130417i | 0.502749 | − | 0.864432i | \(-0.332322\pi\) |
−0.101368 | + | 0.994849i | \(0.532322\pi\) | |||||||
\(468\) | −2.00544e6 | − | 3.18342e6i | −0.423249 | − | 0.671861i | ||||
\(469\) | −2.70043e6 | − | 3.71683e6i | −0.566893 | − | 0.780262i | ||||
\(470\) | −1.61316e6 | − | 1.17203e6i | −0.336846 | − | 0.244733i | ||||
\(471\) | −5.35042e6 | − | 177049.i | −1.11131 | − | 0.0367741i | ||||
\(472\) | 3.72776e6i | 0.770181i | ||||||||
\(473\) | −2.00895e6 | + | 4.91030e6i | −0.412873 | + | 1.00915i | ||||
\(474\) | 968955. | + | 350666.i | 0.198088 | + | 0.0716883i | ||||
\(475\) | 11290.4 | − | 3668.47i | 0.00229602 | − | 0.000746021i | ||||
\(476\) | −2.03115e6 | + | 2.79564e6i | −0.410889 | + | 0.565540i | ||||
\(477\) | −305967. | + | 4.61808e6i | −0.0615713 | + | 0.929321i | ||||
\(478\) | −984290. | + | 3.02933e6i | −0.197040 | + | 0.606425i | ||||
\(479\) | −2.58505e6 | + | 7.95598e6i | −0.514791 | + | 1.58436i | 0.268871 | + | 0.963176i | \(0.413349\pi\) |
−0.783662 | + | 0.621187i | \(0.786651\pi\) | |||||||
\(480\) | 4.79798e6 | − | 1.38530e6i | 0.950507 | − | 0.274435i | ||||
\(481\) | 4.24983e6 | − | 5.84938e6i | 0.837545 | − | 1.15278i | ||||
\(482\) | −3.16522e6 | + | 1.02844e6i | −0.620563 | + | 0.201633i | ||||
\(483\) | −202122. | + | 558500.i | −0.0394226 | + | 0.108932i | ||||
\(484\) | 2.97857e6 | + | 445251.i | 0.577956 | + | 0.0863955i | ||||
\(485\) | − | 325133.i | − | 0.0627634i | ||||||
\(486\) | −497554. | − | 3.31983e6i | −0.0955541 | − | 0.637567i | ||||
\(487\) | 6.57088e6 | + | 4.77402e6i | 1.25545 | + | 0.912141i | 0.998525 | − | 0.0542895i | \(-0.0172894\pi\) |
0.256929 | + | 0.966430i | \(0.417289\pi\) | |||||||
\(488\) | −1.93458e6 | − | 2.66272e6i | −0.367736 | − | 0.506145i | ||||
\(489\) | 1.36086e6 | + | 1.05922e6i | 0.257360 | + | 0.200315i | ||||
\(490\) | 5.39025e6 | + | 1.75140e6i | 1.01419 | + | 0.329530i | ||||
\(491\) | 2.92636e6 | − | 2.12612e6i | 0.547802 | − | 0.398002i | −0.279172 | − | 0.960241i | \(-0.590060\pi\) |
0.826975 | + | 0.562239i | \(0.190060\pi\) | |||||||
\(492\) | −2.74144e6 | + | 1.85642e6i | −0.510582 | + | 0.345751i | ||||
\(493\) | 919444. | + | 2.82976e6i | 0.170376 | + | 0.524363i | ||||
\(494\) | −353052. | −0.0650910 | ||||||||
\(495\) | −4.89281e6 | + | 2.59701e6i | −0.897522 | + | 0.476388i | ||||
\(496\) | −768854. | −0.140327 | ||||||||
\(497\) | −3.39800e6 | − | 1.04580e7i | −0.617067 | − | 1.89914i | ||||
\(498\) | 614541. | − | 416150.i | 0.111040 | − | 0.0751928i | ||||
\(499\) | −8.08262e6 | + | 5.87237e6i | −1.45312 | + | 1.05575i | −0.468027 | + | 0.883714i | \(0.655035\pi\) |
−0.985090 | + | 0.172038i | \(0.944965\pi\) | |||||||
\(500\) | −3.05438e6 | − | 992429.i | −0.546385 | − | 0.177531i | ||||
\(501\) | 1.78543e6 | + | 1.38968e6i | 0.317796 | + | 0.247355i | ||||
\(502\) | 1.79433e6 | + | 2.46968e6i | 0.317792 | + | 0.437403i | ||||
\(503\) | −698340. | − | 507374.i | −0.123069 | − | 0.0894145i | 0.524548 | − | 0.851381i | \(-0.324234\pi\) |
−0.647617 | + | 0.761966i | \(0.724234\pi\) | |||||||
\(504\) | 8.76780e6 | + | 3.50519e6i | 1.53750 | + | 0.614660i | ||||
\(505\) | − | 4.94133e6i | − | 0.862215i | ||||||
\(506\) | −264611. | − | 19668.4i | −0.0459443 | − | 0.00341501i | ||||
\(507\) | −1.66707e6 | + | 4.60642e6i | −0.288027 | + | 0.795872i | ||||
\(508\) | 1.89745e6 | − | 616520.i | 0.326221 | − | 0.105996i | ||||
\(509\) | −3.11506e6 | + | 4.28752e6i | −0.532933 | + | 0.733519i | −0.987574 | − | 0.157156i | \(-0.949768\pi\) |
0.454641 | + | 0.890675i | \(0.349768\pi\) | |||||||
\(510\) | 2.72798e6 | − | 787634.i | 0.464425 | − | 0.134091i | ||||
\(511\) | 250532. | − | 771057.i | 0.0424434 | − | 0.130627i | ||||
\(512\) | 271066. | − | 834256.i | 0.0456983 | − | 0.140645i | ||||
\(513\) | 405589. | + | 177921.i | 0.0680445 | + | 0.0298494i | ||||
\(514\) | −2.55731e6 | + | 3.51983e6i | −0.426948 | + | 0.587643i | ||||
\(515\) | −3.28668e6 | + | 1.06791e6i | −0.546060 | + | 0.177425i | ||||
\(516\) | 3.62372e6 | + | 1.31143e6i | 0.599143 | + | 0.216831i | ||||
\(517\) | −3.28482e6 | + | 2.03263e6i | −0.540487 | + | 0.334451i | ||||
\(518\) | 6.69274e6i | 1.09592i | ||||||||
\(519\) | −1.14877e6 | − | 38013.8i | −0.187204 | − | 0.00619473i | ||||
\(520\) | −7.03523e6 | − | 5.11140e6i | −1.14096 | − | 0.828955i | ||||
\(521\) | 1.12962e6 | + | 1.55479e6i | 0.182322 | + | 0.250945i | 0.890389 | − | 0.455201i | \(-0.150432\pi\) |
−0.708067 | + | 0.706146i | \(0.750432\pi\) | |||||||
\(522\) | 2.53726e6 | − | 1.59839e6i | 0.407558 | − | 0.256747i | ||||
\(523\) | −5.71663e6 | − | 1.85745e6i | −0.913873 | − | 0.296935i | −0.185922 | − | 0.982564i | \(-0.559527\pi\) |
−0.727951 | + | 0.685629i | \(0.759527\pi\) | |||||||
\(524\) | 5.45555e6 | − | 3.96369e6i | 0.867981 | − | 0.630625i | ||||
\(525\) | 186507. | + | 275421.i | 0.0295323 | + | 0.0436112i | ||||
\(526\) | 1.61558e6 | + | 4.97226e6i | 0.254604 | + | 0.783590i | ||||
\(527\) | 8.90670e6 | 1.39698 | ||||||||
\(528\) | −50838.9 | + | 472107.i | −0.00793617 | + | 0.0736981i | ||||
\(529\) | 6.40347e6 | 0.994893 | ||||||||
\(530\) | 1.21922e6 | + | 3.75237e6i | 0.188535 | + | 0.580250i | ||||
\(531\) | −4.74926e6 | + | 1.20258e6i | −0.730954 | + | 0.185088i | ||||
\(532\) | −371743. | + | 270087.i | −0.0569461 | + | 0.0413738i | ||||
\(533\) | 8.94374e6 | + | 2.90600e6i | 1.36365 | + | 0.443075i | ||||
\(534\) | −1.03660e6 | + | 1.33180e6i | −0.157311 | + | 0.202109i | ||||
\(535\) | 2.08055e6 | + | 2.86363e6i | 0.314263 | + | 0.432546i | ||||
\(536\) | −3.27008e6 | − | 2.37585e6i | −0.491639 | − | 0.357197i | ||||
\(537\) | −339582. | + | 1.02621e7i | −0.0508170 | + | 1.53569i | ||||
\(538\) | − | 3.41600e6i | − | 0.508818i | ||||||
\(539\) | 7.09441e6 | − | 8.37998e6i | 1.05183 | − | 1.24243i | ||||
\(540\) | 2.03091e6 | + | 3.47351e6i | 0.299713 | + | 0.512606i | ||||
\(541\) | 1.19000e7 | − | 3.86656e6i | 1.74806 | − | 0.567978i | 0.752200 | − | 0.658934i | \(-0.228992\pi\) |
0.995855 | + | 0.0909567i | \(0.0289925\pi\) | |||||||
\(542\) | 4.07615e6 | − | 5.61033e6i | 0.596007 | − | 0.820334i | ||||
\(543\) | −3.38729e6 | − | 1.17319e7i | −0.493007 | − | 1.70753i | ||||
\(544\) | −1.53246e6 | + | 4.71642e6i | −0.222020 | + | 0.683306i | ||||
\(545\) | 133496. | − | 410860.i | 0.0192521 | − | 0.0592519i | ||||
\(546\) | −2.74405e6 | − | 9.50402e6i | −0.393922 | − | 1.36435i | ||||
\(547\) | −5.25662e6 | + | 7.23512e6i | −0.751170 | + | 1.03390i | 0.246728 | + | 0.969085i | \(0.420645\pi\) |
−0.997898 | + | 0.0648119i | \(0.979355\pi\) | |||||||
\(548\) | 230862. | − | 75011.7i | 0.0328399 | − | 0.0106703i | ||||
\(549\) | 2.76827e6 | − | 3.32370e6i | 0.391993 | − | 0.470642i | ||||
\(550\) | −96014.9 | + | 113414.i | −0.0135342 | + | 0.0159867i | ||||
\(551\) | 395645.i | 0.0555170i | ||||||||
\(552\) | −17282.4 | + | 522273.i | −0.00241411 | + | 0.0729541i | ||||
\(553\) | −3.08182e6 | − | 2.23907e6i | −0.428543 | − | 0.311355i | ||||
\(554\) | 218098. | + | 300186.i | 0.0301910 | + | 0.0415543i | ||||
\(555\) | −4.74928e6 | + | 6.10176e6i | −0.654478 | + | 0.840858i | ||||
\(556\) | −2.36821e6 | − | 769477.i | −0.324887 | − | 0.105562i | ||||
\(557\) | −9.74851e6 | + | 7.08271e6i | −1.33137 | + | 0.967300i | −0.331660 | + | 0.943399i | \(0.607609\pi\) |
−0.999714 | + | 0.0239011i | \(0.992391\pi\) | |||||||
\(558\) | −2.20348e6 | − | 8.70202e6i | −0.299587 | − | 1.18314i | ||||
\(559\) | −3.38249e6 | − | 1.04102e7i | −0.457833 | − | 1.40906i | ||||
\(560\) | 906097. | 0.122097 | ||||||||
\(561\) | 588936. | − | 5.46907e6i | 0.0790062 | − | 0.733679i | ||||
\(562\) | 3.83556e6 | 0.512258 | ||||||||
\(563\) | 1.90157e6 | + | 5.85243e6i | 0.252837 | + | 0.778153i | 0.994248 | + | 0.107102i | \(0.0341570\pi\) |
−0.741411 | + | 0.671051i | \(0.765843\pi\) | |||||||
\(564\) | 1.57329e6 | + | 2.32333e6i | 0.208263 | + | 0.307548i | ||||
\(565\) | 7.74238e6 | − | 5.62517e6i | 1.02036 | − | 0.741335i | ||||
\(566\) | −2.70591e6 | − | 879203.i | −0.355036 | − | 0.115358i | ||||
\(567\) | −1.63719e6 | + | 1.23012e7i | −0.213866 | + | 1.60690i | ||||
\(568\) | −5.68651e6 | − | 7.82681e6i | −0.739563 | − | 1.01792i | ||||
\(569\) | 3.13705e6 | + | 2.27920e6i | 0.406201 | + | 0.295123i | 0.772062 | − | 0.635547i | \(-0.219225\pi\) |
−0.365861 | + | 0.930670i | \(0.619225\pi\) | |||||||
\(570\) | 377357. | + | 12487.0i | 0.0486480 | + | 0.00160980i | ||||
\(571\) | 83422.9i | 0.0107077i | 0.999986 | + | 0.00535383i | \(0.00170419\pi\) | ||||
−0.999986 | + | 0.00535383i | \(0.998296\pi\) | |||||||
\(572\) | −5.28383e6 | + | 3.26961e6i | −0.675241 | + | 0.417836i | ||||
\(573\) | −1.22554e7 | − | 4.43524e6i | −1.55934 | − | 0.564327i | ||||
\(574\) | −8.27887e6 | + | 2.68997e6i | −1.04880 | + | 0.340775i | ||||
\(575\) | −10820.0 | + | 14892.4i | −0.00136476 | + | 0.00187843i | ||||
\(576\) | 5.57609e6 | + | 369439.i | 0.700283 | + | 0.0463966i | ||||
\(577\) | −321293. | + | 988839.i | −0.0401756 | + | 0.123648i | −0.969133 | − | 0.246540i | \(-0.920706\pi\) |
0.928957 | + | 0.370187i | \(0.120706\pi\) | |||||||
\(578\) | 728809. | − | 2.24304e6i | 0.0907390 | − | 0.279266i | ||||
\(579\) | −6.46266e6 | + | 1.86593e6i | −0.801152 | + | 0.231312i | ||||
\(580\) | −2.11272e6 | + | 2.90791e6i | −0.260778 | + | 0.358931i | ||||
\(581\) | −2.60939e6 | + | 847843.i | −0.320700 | + | 0.104202i | ||||
\(582\) | 110735. | − | 305980.i | 0.0135512 | − | 0.0374443i | ||||
\(583\) | 7.62240e6 | + | 566568.i | 0.928796 | + | 0.0690368i | ||||
\(584\) | − | 713290.i | − | 0.0865434i | ||||||
\(585\) | 4.24247e6 | − | 1.06120e7i | 0.512542 | − | 1.28206i | ||||
\(586\) | 6.15017e6 | + | 4.46836e6i | 0.739849 | + | 0.537532i | ||||
\(587\) | −2.93965e6 | − | 4.04609e6i | −0.352128 | − | 0.484663i | 0.595806 | − | 0.803128i | \(-0.296833\pi\) |
−0.947935 | + | 0.318465i | \(0.896833\pi\) | |||||||
\(588\) | −6.29374e6 | − | 4.89871e6i | −0.750698 | − | 0.584303i | ||||
\(589\) | 1.12638e6 | + | 365983.i | 0.133782 | + | 0.0434683i | ||||
\(590\) | −3.37882e6 | + | 2.45486e6i | −0.399609 | + | 0.290333i | ||||
\(591\) | 6.98288e6 | − | 4.72861e6i | 0.822367 | − | 0.556884i | ||||
\(592\) | 204821. | + | 630374.i | 0.0240198 | + | 0.0739255i | ||||
\(593\) | −1.18116e7 | −1.37935 | −0.689673 | − | 0.724121i | \(-0.742246\pi\) | ||||
−0.689673 | + | 0.724121i | \(0.742246\pi\) | |||||||
\(594\) | −5.48909e6 | + | 777622.i | −0.638314 | + | 0.0904279i | ||||
\(595\) | −1.04966e7 | −1.21550 | ||||||||
\(596\) | −549220. | − | 1.69033e6i | −0.0633331 | − | 0.194919i | ||||
\(597\) | 1.11766e7 | − | 7.56845e6i | 1.28343 | − | 0.869103i | ||||
\(598\) | 442895. | − | 321782.i | 0.0506463 | − | 0.0367967i | ||||
\(599\) | 1.23504e7 | + | 4.01288e6i | 1.40641 | + | 0.456971i | 0.911259 | − | 0.411834i | \(-0.135112\pi\) |
0.495154 | + | 0.868806i | \(0.335112\pi\) | |||||||
\(600\) | 230938. | + | 179750.i | 0.0261889 | + | 0.0203840i | ||||
\(601\) | 3.50766e6 | + | 4.82788e6i | 0.396124 | + | 0.545219i | 0.959766 | − | 0.280801i | \(-0.0906001\pi\) |
−0.563642 | + | 0.826019i | \(0.690600\pi\) | |||||||
\(602\) | 8.19715e6 | + | 5.95558e6i | 0.921874 | + | 0.669781i | ||||
\(603\) | 1.97196e6 | − | 4.93262e6i | 0.220854 | − | 0.552439i | ||||
\(604\) | − | 8681.42i | − | 0.000968275i | ||||||
\(605\) | 4.22386e6 | + | 8.11461e6i | 0.469160 | + | 0.901321i | ||||
\(606\) | 1.68294e6 | − | 4.65026e6i | 0.186160 | − | 0.514394i | ||||
\(607\) | −1.09237e6 | + | 354934.i | −0.120337 | + | 0.0390999i | −0.368566 | − | 0.929601i | \(-0.620151\pi\) |
0.248229 | + | 0.968701i | \(0.420151\pi\) | |||||||
\(608\) | −387603. | + | 533490.i | −0.0425234 | + | 0.0585285i | ||||
\(609\) | −1.06506e7 | + | 3.07509e6i | −1.16367 | + | 0.335981i | ||||
\(610\) | 1.13949e6 | − | 3.50698e6i | 0.123989 | − | 0.381600i | ||||
\(611\) | 2.46280e6 | − | 7.57971e6i | 0.266886 | − | 0.821390i | ||||
\(612\) | −3.98686e6 | − | 264146.i | −0.430281 | − | 0.0285079i | ||||
\(613\) | −4.74104e6 | + | 6.52548e6i | −0.509591 | + | 0.701392i | −0.983850 | − | 0.178993i | \(-0.942716\pi\) |
0.474259 | + | 0.880385i | \(0.342716\pi\) | |||||||
\(614\) | 6.73371e6 | − | 2.18791e6i | 0.720831 | − | 0.234212i | ||||
\(615\) | −9.45667e6 | − | 3.42238e6i | −1.00821 | − | 0.364872i | ||||
\(616\) | 5.90494e6 | − | 1.44329e7i | 0.626995 | − | 1.53251i | ||||
\(617\) | 5.81531e6i | 0.614978i | 0.951552 | + | 0.307489i | \(0.0994887\pi\) | ||||
−0.951552 | + | 0.307489i | \(0.900511\pi\) | |||||||
\(618\) | −3.45679e6 | − | 114388.i | −0.364084 | − | 0.0120478i | ||||
\(619\) | −3.05367e6 | − | 2.21862e6i | −0.320328 | − | 0.232732i | 0.415987 | − | 0.909370i | \(-0.363436\pi\) |
−0.736315 | + | 0.676638i | \(0.763436\pi\) | |||||||
\(620\) | 6.32434e6 | + | 8.70471e6i | 0.660748 | + | 0.909442i | ||||
\(621\) | −670965. | + | 146468.i | −0.0698185 | + | 0.0152410i | ||||
\(622\) | −9.72157e6 | − | 3.15873e6i | −1.00754 | − | 0.327368i | ||||
\(623\) | 5.04738e6 | − | 3.66714e6i | 0.521010 | − | 0.378536i | ||||
\(624\) | −549312. | − | 811186.i | −0.0564751 | − | 0.0833986i | ||||
\(625\) | −3.11261e6 | − | 9.57962e6i | −0.318731 | − | 0.980953i | ||||
\(626\) | −5.49590e6 | −0.560535 | ||||||||
\(627\) | 299208. | − | 667443.i | 0.0303952 | − | 0.0678025i | ||||
\(628\) | 6.42194e6 | 0.649781 | ||||||||
\(629\) | −2.37272e6 | − | 7.30249e6i | −0.239122 | − | 0.735943i | ||||
\(630\) | 2.59681e6 | + | 1.02554e7i | 0.260668 | + | 1.02944i | ||||
\(631\) | 1.91068e6 | − | 1.38819e6i | 0.191036 | − | 0.138796i | −0.488156 | − | 0.872756i | \(-0.662330\pi\) |
0.679192 | + | 0.733961i | \(0.262330\pi\) | |||||||
\(632\) | −3.18744e6 | − | 1.03566e6i | −0.317431 | − | 0.103140i | ||||
\(633\) | 3.91806e6 | − | 5.03382e6i | 0.388652 | − | 0.499331i | ||||
\(634\) | 861622. | + | 1.18592e6i | 0.0851322 | + | 0.117174i | ||||
\(635\) | 4.90283e6 | + | 3.56211e6i | 0.482517 | + | 0.350569i | ||||
\(636\) | 183621. | − | 5.54902e6i | 0.0180003 | − | 0.543968i | ||||
\(637\) | 2.26532e7i | 2.21198i | ||||||||
\(638\) | −2.60596e6 | − | 4.21134e6i | −0.253464 | − | 0.409608i | ||||
\(639\) | 8.13708e6 | − | 9.76971e6i | 0.788345 | − | 0.946519i | ||||
\(640\) | −5.21908e6 | + | 1.69578e6i | −0.503667 | + | 0.163651i | ||||
\(641\) | 6.25325e6 | − | 8.60686e6i | 0.601120 | − | 0.827370i | −0.394691 | − | 0.918814i | \(-0.629148\pi\) |
0.995810 | + | 0.0914439i | \(0.0291482\pi\) | |||||||
\(642\) | 982686. | + | 3.40354e6i | 0.0940973 | + | 0.325907i | ||||
\(643\) | 260898. | − | 802961.i | 0.0248853 | − | 0.0765891i | −0.937843 | − | 0.347061i | \(-0.887180\pi\) |
0.962728 | + | 0.270472i | \(0.0871797\pi\) | |||||||
\(644\) | 220177. | − | 677636.i | 0.0209198 | − | 0.0643845i | ||||
\(645\) | 3.24715e6 | + | 1.12465e7i | 0.307329 | + | 1.06443i | ||||
\(646\) | −220379. | + | 303325.i | −0.0207773 | + | 0.0285974i | ||||
\(647\) | 4.53009e6 | − | 1.47191e6i | 0.425447 | − | 0.138236i | −0.0884642 | − | 0.996079i | \(-0.528196\pi\) |
0.513912 | + | 0.857843i | \(0.328196\pi\) | |||||||
\(648\) | 1.97447e6 | + | 1.07380e7i | 0.184719 | + | 1.00459i | ||||
\(649\) | 1.92296e6 | + | 7.85906e6i | 0.179209 | + | 0.732418i | ||||
\(650\) | − | 306586.i | − | 0.0284622i | ||||||
\(651\) | −1.09750e6 | + | 3.31663e7i | −0.101497 | + | 3.06722i | ||||
\(652\) | −1.67363e6 | − | 1.21597e6i | −0.154185 | − | 0.112022i | ||||
\(653\) | 7.62786e6 | + | 1.04989e7i | 0.700035 | + | 0.963516i | 0.999954 | + | 0.00955129i | \(0.00304032\pi\) |
−0.299919 | + | 0.953965i | \(0.596960\pi\) | |||||||
\(654\) | 265565. | − | 341191.i | 0.0242787 | − | 0.0311927i | ||||
\(655\) | 1.94810e7 | + | 6.32976e6i | 1.77422 | + | 0.576480i | ||||
\(656\) | −697446. | + | 506724.i | −0.0632777 | + | 0.0459740i | ||||
\(657\) | 908750. | − | 230109.i | 0.0821355 | − | 0.0207979i | ||||
\(658\) | 2.27971e6 | + | 7.01623e6i | 0.205265 | + | 0.631741i | ||||
\(659\) | −8.38698e6 | −0.752302 | −0.376151 | − | 0.926558i | \(-0.622753\pi\) | ||||
−0.376151 | + | 0.926558i | \(0.622753\pi\) | |||||||
\(660\) | 5.76322e6 | − | 3.30782e6i | 0.514998 | − | 0.295585i | ||||
\(661\) | 631697. | 0.0562348 | 0.0281174 | − | 0.999605i | \(-0.491049\pi\) | ||||
0.0281174 | + | 0.999605i | \(0.491049\pi\) | |||||||
\(662\) | 2.17803e6 | + | 6.70328e6i | 0.193161 | + | 0.594487i | ||||
\(663\) | 6.36343e6 | + | 9.39708e6i | 0.562222 | + | 0.830250i | ||||
\(664\) | −1.95288e6 | + | 1.41885e6i | −0.171892 | + | 0.124887i | ||||
\(665\) | −1.32744e6 | − | 431312.i | −0.116402 | − | 0.0378214i | ||||
\(666\) | −6.54768e6 | + | 4.12480e6i | −0.572008 | + | 0.360344i | ||||
\(667\) | −360602. | − | 496326.i | −0.0313844 | − | 0.0431969i | ||||
\(668\) | −2.19579e6 | − | 1.59533e6i | −0.190392 | − | 0.138328i | ||||
\(669\) | −493590. | − | 16333.3i | −0.0426384 | − | 0.00141094i | ||||
\(670\) | − | 4.52856e6i | − | 0.389738i | ||||||
\(671\) | −5.45214e6 | − | 4.61573e6i | −0.467477 | − | 0.395762i | ||||
\(672\) | −1.73739e7 | − | 6.28766e6i | −1.48414 | − | 0.537113i | ||||
\(673\) | −5.38285e6 | + | 1.74900e6i | −0.458115 | + | 0.148851i | −0.528978 | − | 0.848635i | \(-0.677425\pi\) |
0.0708629 | + | 0.997486i | \(0.477425\pi\) | |||||||
\(674\) | −7.14438e6 | + | 9.83340e6i | −0.605780 | + | 0.833785i | ||||
\(675\) | −154505. | + | 352209.i | −0.0130522 | + | 0.0297537i | ||||
\(676\) | 1.81599e6 | − | 5.58903e6i | 0.152843 | − | 0.470402i | ||||
\(677\) | 6.39032e6 | − | 1.96674e7i | 0.535860 | − | 1.64921i | −0.205924 | − | 0.978568i | \(-0.566020\pi\) |
0.741784 | − | 0.670639i | \(-0.233980\pi\) | |||||||
\(678\) | 9.20216e6 | − | 2.65689e6i | 0.768803 | − | 0.221972i | ||||
\(679\) | −707063. | + | 973189.i | −0.0588551 | + | 0.0810070i | ||||
\(680\) | −8.78293e6 | + | 2.85375e6i | −0.728395 | + | 0.236670i | ||||
\(681\) | 3.39969e6 | − | 9.39397e6i | 0.280913 | − | 0.776214i | ||||
\(682\) | −1.44001e7 | + | 3.52342e6i | −1.18551 | + | 0.290071i | ||||
\(683\) | − | 6.97615e6i | − | 0.572221i | −0.958197 | − | 0.286111i | \(-0.907638\pi\) | ||
0.958197 | − | 0.286111i | \(-0.0923625\pi\) | |||||||
\(684\) | −493343. | − | 197228.i | −0.0403189 | − | 0.0161187i | ||||
\(685\) | 596524. | + | 433400.i | 0.0485738 | + | 0.0352909i | ||||
\(686\) | −4.75391e6 | − | 6.54320e6i | −0.385692 | − | 0.530860i | ||||
\(687\) | 1.57746e6 | + | 1.22781e6i | 0.127517 | + | 0.0992522i | ||||
\(688\) | 954333. | + | 310082.i | 0.0768650 | + | 0.0249750i | ||||
\(689\) | −1.27580e7 | + | 9.26926e6i | −1.02385 | + | 0.743870i | ||||
\(690\) | −484766. | + | 328269.i | −0.0387623 | + | 0.0262487i | ||||
\(691\) | 116026. | + | 357092.i | 0.00924402 | + | 0.0284502i | 0.955572 | − | 0.294757i | \(-0.0952388\pi\) |
−0.946328 | + | 0.323208i | \(0.895239\pi\) | |||||||
\(692\) | 1.37884e6 | 0.109458 | ||||||||
\(693\) | 2.02929e7 | + | 2.86696e6i | 1.60513 | + | 0.226772i | ||||
\(694\) | 4.31280e6 | 0.339907 | ||||||||
\(695\) | −2.33733e6 | − | 7.19356e6i | −0.183551 | − | 0.564913i | ||||
\(696\) | −8.07579e6 | + | 5.46869e6i | −0.631919 | + | 0.427918i | ||||
\(697\) | 8.07947e6 | − | 5.87008e6i | 0.629943 | − | 0.457680i | ||||
\(698\) | −3.60306e6 | − | 1.17071e6i | −0.279920 | − | 0.0909514i | ||||
\(699\) | −1.11632e7 | − | 8.68886e6i | −0.864166 | − | 0.672620i | ||||
\(700\) | −234541. | − | 322818.i | −0.0180914 | − | 0.0249007i | ||||
\(701\) | −1.16140e7 | − | 8.43806e6i | −0.892661 | − | 0.648556i | 0.0439098 | − | 0.999036i | \(-0.486019\pi\) |
−0.936570 | + | 0.350480i | \(0.886019\pi\) | |||||||
\(702\) | 7.60685e6 | − | 8.54200e6i | 0.582589 | − | 0.654209i | ||||
\(703\) | − | 1.02100e6i | − | 0.0779182i | ||||||
\(704\) | 684101. | − | 9.20365e6i | 0.0520222 | − | 0.699888i | ||||
\(705\) | −2.90043e6 | + | 8.01441e6i | −0.219780 | + | 0.607294i | ||||
\(706\) | 1.22260e7 | − | 3.97245e6i | 0.923147 | − | 0.299949i | ||||
\(707\) | −1.07459e7 | + | 1.47904e7i | −0.808524 | + | 1.11284i | ||||
\(708\) | 5.64645e6 | − | 1.63027e6i | 0.423343 | − | 0.122229i | ||||
\(709\) | 6.67958e6 | − | 2.05576e7i | 0.499038 | − | 1.53588i | −0.311530 | − | 0.950236i | \(-0.600842\pi\) |
0.810568 | − | 0.585644i | \(-0.199158\pi\) | |||||||
\(710\) | 3.34941e6 | − | 1.03084e7i | 0.249358 | − | 0.767444i | ||||
\(711\) | 291186. | − | 4.39499e6i | 0.0216021 | − | 0.326050i | ||||
\(712\) | 3.22636e6 | − | 4.44070e6i | 0.238513 | − | 0.328286i | ||||
\(713\) | −1.74658e6 | + | 567500.i | −0.128667 | + | 0.0418063i | ||||
\(714\) | −9.87826e6 | − | 3.57496e6i | −0.725162 | − | 0.262437i | ||||
\(715\) | −1.74688e7 | − | 7.14699e6i | −1.27790 | − | 0.522827i | ||||
\(716\) | − | 1.23173e7i | − | 0.897912i | ||||||
\(717\) | 1.36076e7 | + | 450286.i | 0.988517 | + | 0.0327108i | ||||
\(718\) | −1.12824e6 | − | 819712.i | −0.0816750 | − | 0.0593404i | ||||
\(719\) | 1.28630e7 | + | 1.77044e7i | 0.927939 | + | 1.27720i | 0.960658 | + | 0.277734i | \(0.0895833\pi\) |
−0.0327192 | + | 0.999465i | \(0.510417\pi\) | |||||||
\(720\) | 558437. | + | 886458.i | 0.0401461 | + | 0.0637275i | ||||
\(721\) | 1.21601e7 | + | 3.95106e6i | 0.871162 | + | 0.283058i | ||||
\(722\) | 7.26516e6 | − | 5.27845e6i | 0.518684 | − | 0.376846i | ||||
\(723\) | 7.97650e6 | + | 1.17792e7i | 0.567501 | + | 0.838047i | ||||
\(724\) | 4.52667e6 | + | 1.39317e7i | 0.320946 | + | 0.987771i | ||||
\(725\) | −343573. | −0.0242758 | ||||||||
\(726\) | 1.21135e6 | + | 9.07520e6i | 0.0852959 | + | 0.639020i | ||||
\(727\) | −1.34168e7 | −0.941481 | −0.470741 | − | 0.882272i | \(-0.656013\pi\) | ||||
−0.470741 | + | 0.882272i | \(0.656013\pi\) | |||||||
\(728\) | 9.94220e6 | + | 3.05989e7i | 0.695271 | + | 2.13982i | ||||
\(729\) | −1.30436e7 | + | 5.97964e6i | −0.909030 | + | 0.416731i | ||||
\(730\) | 646521. | − | 469725.i | 0.0449030 | − | 0.0326240i | ||||
\(731\) | −1.10553e7 | − | 3.59210e6i | −0.765207 | − | 0.248631i | ||||
\(732\) | −3.18717e6 | + | 4.09480e6i | −0.219850 | + | 0.282458i | ||||
\(733\) | −5.34108e6 | − | 7.35136e6i | −0.367171 | − | 0.505368i | 0.584958 | − | 0.811064i | \(-0.301111\pi\) |
−0.952129 | + | 0.305696i | \(0.901111\pi\) | |||||||
\(734\) | −7.78433e6 | − | 5.65565e6i | −0.533312 | − | 0.387474i | ||||
\(735\) | 801218. | − | 2.42127e7i | 0.0547057 | − | 1.65320i | ||||
\(736\) | − | 1.02252e6i | − | 0.0695790i | ||||||
\(737\) | −8.11973e6 | − | 3.32203e6i | −0.550647 | − | 0.225286i | ||||
\(738\) | −7.73401e6 | − | 6.44157e6i | −0.522714 | − | 0.435363i | ||||
\(739\) | −7.33399e6 | + | 2.38296e6i | −0.494002 | + | 0.160511i | −0.545415 | − | 0.838166i | \(-0.683628\pi\) |
0.0514122 | + | 0.998678i | \(0.483628\pi\) | |||||||
\(740\) | 5.45209e6 | − | 7.50416e6i | 0.366002 | − | 0.503759i | ||||
\(741\) | 418615. | + | 1.44988e6i | 0.0280071 | + | 0.0970030i | ||||
\(742\) | 4.51087e6 | − | 1.38830e7i | 0.300781 | − | 0.925709i | ||||
\(743\) | −4.13298e6 | + | 1.27200e7i | −0.274657 | + | 0.845308i | 0.714653 | + | 0.699479i | \(0.246585\pi\) |
−0.989310 | + | 0.145829i | \(0.953415\pi\) | |||||||
\(744\) | 8.09874e6 | + | 2.80501e7i | 0.536396 | + | 1.85781i | ||||
\(745\) | 3.17327e6 | − | 4.36763e6i | 0.209467 | − | 0.288307i | ||||
\(746\) | 2.37874e6 | − | 772899.i | 0.156495 | − | 0.0508482i | ||||
\(747\) | −2.43766e6 | − | 2.03030e6i | −0.159835 | − | 0.133125i | ||||
\(748\) | −489127. | + | 6.58054e6i | −0.0319645 | + | 0.430038i | ||||
\(749\) | − | 1.30960e7i | − | 0.852969i | ||||||
\(750\) | 322901. | − | 9.75805e6i | 0.0209612 | − | 0.633446i | ||||
\(751\) | −1.06804e7 | − | 7.75976e6i | −0.691015 | − | 0.502052i | 0.185979 | − | 0.982554i | \(-0.440454\pi\) |
−0.876994 | + | 0.480502i | \(0.840454\pi\) | |||||||
\(752\) | 429442. | + | 591076.i | 0.0276924 | + | 0.0381153i | ||||
\(753\) | 8.01467e6 | − | 1.02971e7i | 0.515108 | − | 0.661798i | ||||
\(754\) | 9.71765e6 | + | 3.15746e6i | 0.622491 | + | 0.202260i | ||||
\(755\) | 21334.0 | − | 15500.1i | 0.00136209 | − | 0.000989615i | ||||
\(756\) | 1.47488e6 | − | 1.48135e7i | 0.0938539 | − | 0.942658i | ||||
\(757\) | 3.38586e6 | + | 1.04206e7i | 0.214748 | + | 0.660927i | 0.999171 | + | 0.0407008i | \(0.0129590\pi\) |
−0.784423 | + | 0.620226i | \(0.787041\pi\) | |||||||
\(758\) | −882148. | −0.0557659 | ||||||||
\(759\) | 232978. | + | 1.11000e6i | 0.0146795 | + | 0.0699387i | ||||
\(760\) | −1.22799e6 | −0.0771190 | ||||||||
\(761\) | −3.09898e6 | − | 9.53767e6i | −0.193980 | − | 0.597009i | −0.999987 | − | 0.00510296i | \(-0.998376\pi\) |
0.806007 | − | 0.591906i | \(-0.201624\pi\) | |||||||
\(762\) | 3.40083e6 | + | 5.02211e6i | 0.212176 | + | 0.313327i | ||||
\(763\) | −1.29308e6 | + | 939475.i | −0.0804105 | + | 0.0584216i | ||||
\(764\) | 1.48696e7 | + | 4.83143e6i | 0.921651 | + | 0.299463i | ||||
\(765\) | −6.46914e6 | − | 1.02691e7i | −0.399662 | − | 0.634420i | ||||
\(766\) | −1.14085e7 | − | 1.57024e7i | −0.702516 | − | 0.966931i | ||||
\(767\) | −1.35049e7 | − | 9.81191e6i | −0.828903 | − | 0.602234i | ||||
\(768\) | −1.69546e7 | − | 561042.i | −1.03725 | − | 0.0343235i | ||||
\(769\) | 3.00901e7i | 1.83488i | 0.397875 | + | 0.917440i | \(0.369748\pi\) | ||||
−0.397875 | + | 0.917440i | \(0.630252\pi\) | |||||||
\(770\) | 1.69705e7 | − | 4.15236e6i | 1.03150 | − | 0.252388i | ||||
\(771\) | 1.74871e7 | + | 6.32860e6i | 1.05945 | + | 0.383417i | ||||
\(772\) | 7.67441e6 | − | 2.49357e6i | 0.463449 | − | 0.150584i | ||||
\(773\) | −7.73782e6 | + | 1.06502e7i | −0.465768 | + | 0.641075i | −0.975692 | − | 0.219144i | \(-0.929673\pi\) |
0.509924 | + | 0.860219i | \(0.329673\pi\) | |||||||
\(774\) | −774508. | + | 1.16900e7i | −0.0464701 | + | 0.701392i | ||||
\(775\) | −317816. | + | 978136.i | −0.0190073 | + | 0.0584985i | ||||
\(776\) | −327045. | + | 1.00654e6i | −0.0194964 | + | 0.0600036i | ||||
\(777\) | 2.74850e7 | − | 7.93560e6i | 1.63322 | − | 0.471550i | ||||
\(778\) | −4.55902e6 | + | 6.27495e6i | −0.270036 | + | 0.371673i | ||||
\(779\) | 1.26297e6 | − | 410365.i | 0.0745676 | − | 0.0242285i | ||||
\(780\) | −4.66551e6 | + | 1.28917e7i | −0.274576 | + | 0.758704i | ||||
\(781\) | −1.60261e7 | − | 1.35675e7i | −0.940154 | − | 0.795925i | ||||
\(782\) | − | 581373.i | − | 0.0339968i | ||||||
\(783\) | −9.57252e6 | − | 8.52455e6i | −0.557984 | − | 0.496898i | ||||
\(784\) | −1.68007e6 | − | 1.22064e6i | −0.0976197 | − | 0.0709249i | ||||
\(785\) | 1.14659e7 | + | 1.57815e7i | 0.664102 | + | 0.914058i | ||||
\(786\) | 1.61777e7 | + | 1.25918e7i | 0.934026 | + | 0.726996i | ||||
\(787\) | −6.89693e6 | − | 2.24095e6i | −0.396935 | − | 0.128972i | 0.103746 | − | 0.994604i | \(-0.466917\pi\) |
−0.500681 | + | 0.865632i | \(0.666917\pi\) | |||||||
\(788\) | −8.18456e6 | + | 5.94643e6i | −0.469548 | + | 0.341146i | ||||
\(789\) | 1.85039e7 | − | 1.25303e7i | 1.05821 | − | 0.716588i | ||||
\(790\) | −1.16032e6 | − | 3.57109e6i | −0.0661469 | − | 0.203579i | ||||
\(791\) | −3.54076e7 | −2.01213 | ||||||||
\(792\) | 1.77594e7 | − | 3.11820e6i | 1.00604 | − | 0.176641i | ||||
\(793\) | 1.47385e7 | 0.832283 | ||||||||
\(794\) | −912268. | − | 2.80767e6i | −0.0513536 | − | 0.158050i | ||||
\(795\) | 1.39642e7 | − | 9.45614e6i | 0.783606 | − | 0.530635i | ||||
\(796\) | −1.30999e7 | + | 9.51766e6i | −0.732802 | + | 0.532412i | ||||
\(797\) | 311064. | + | 101071.i | 0.0173462 | + | 0.00563611i | 0.317677 | − | 0.948199i | \(-0.397097\pi\) |
−0.300331 | + | 0.953835i | \(0.597097\pi\) | |||||||
\(798\) | −1.10235e6 | − | 858011.i | −0.0612792 | − | 0.0476964i | ||||
\(799\) | −4.97482e6 | − | 6.84725e6i | −0.275683 | − | 0.379445i | ||||
\(800\) | −463276. | − | 336590.i | −0.0255926 | − | 0.0185941i | ||||
\(801\) | 6.69840e6 | + | 2.67789e6i | 0.368884 | + | 0.147472i | ||||
\(802\) | 9.52705e6i | 0.523025i | ||||||||
\(803\) | −367950. | − | 1.50379e6i | −0.0201372 | − | 0.0823000i | ||||
\(804\) | −2.16860e6 | + | 5.99223e6i | −0.118315 | + | 0.326925i | ||||
\(805\) | 2.05836e6 | − | 668800.i | 0.111952 | − | 0.0363753i | ||||
\(806\) | 1.79782e7 | − | 2.47449e7i | 0.974787 | − | 1.34168i | ||||
\(807\) | −1.40285e7 | + | 4.05037e6i | −0.758275 | + | 0.218933i | ||||
\(808\) | −4.97040e6 | + | 1.52973e7i | −0.267832 | + | 0.824303i | ||||
\(809\) | 2.60342e6 | − | 8.01249e6i | 0.139853 | − | 0.430424i | −0.856460 | − | 0.516213i | \(-0.827341\pi\) |
0.996313 | + | 0.0857893i | \(0.0273412\pi\) | |||||||
\(810\) | −8.43264e6 | + | 8.86101e6i | −0.451597 | + | 0.474537i | ||||
\(811\) | −1.73707e7 | + | 2.39087e7i | −0.927395 | + | 1.27645i | 0.0334724 | + | 0.999440i | \(0.489343\pi\) |
−0.960867 | + | 0.277010i | \(0.910657\pi\) | |||||||
\(812\) | 1.26476e7 | − | 4.10946e6i | 0.673160 | − | 0.218723i | ||||
\(813\) | −2.78730e7 | − | 1.00873e7i | −1.47896 | − | 0.535239i | ||||
\(814\) | 6.72495e6 | + | 1.08678e7i | 0.355736 | + | 0.574885i | ||||
\(815\) | − | 6.28387e6i | − | 0.331385i | ||||||
\(816\) | −1.03982e6 | − | 34408.4i | −0.0546678 | − | 0.00180900i | ||||
\(817\) | −1.25051e6 | − | 908546.i | −0.0655437 | − | 0.0476203i | ||||
\(818\) | 8.96851e6 | + | 1.23441e7i | 0.468638 | + | 0.645024i | ||||
\(819\) | −3.57765e7 | + | 2.25379e7i | −1.86375 | + | 1.17410i | ||||
\(820\) | 1.14739e7 | + | 3.72810e6i | 0.595905 | + | 0.193621i | ||||
\(821\) | −1.66873e7 | + | 1.21240e7i | −0.864027 | + | 0.627752i | −0.928978 | − | 0.370136i | \(-0.879311\pi\) |
0.0649506 | + | 0.997888i | \(0.479311\pi\) | |||||||
\(822\) | 413777. | + | 611037.i | 0.0213593 | + | 0.0315419i | ||||
\(823\) | 9.52469e6 | + | 2.93140e7i | 0.490175 | + | 1.50860i | 0.824343 | + | 0.566091i | \(0.191545\pi\) |
−0.334168 | + | 0.942514i | \(0.608455\pi\) | |||||||
\(824\) | 1.12491e7 | 0.577163 | ||||||||
\(825\) | 579600. | + | 259829.i | 0.0296479 | + | 0.0132908i | ||||
\(826\) | 1.54521e7 | 0.788018 | ||||||||
\(827\) | 6.64546e6 | + | 2.04526e7i | 0.337879 | + | 1.03989i | 0.965286 | + | 0.261194i | \(0.0841162\pi\) |
−0.627407 | + | 0.778691i | \(0.715884\pi\) | |||||||
\(828\) | 798646. | − | 202229.i | 0.0404835 | − | 0.0102510i | ||||
\(829\) | 2.72119e7 | − | 1.97706e7i | 1.37522 | − | 0.999157i | 0.377913 | − | 0.925841i | \(-0.376642\pi\) |
0.997309 | − | 0.0733156i | \(-0.0233580\pi\) | |||||||
\(830\) | −2.57208e6 | − | 835720.i | −0.129595 | − | 0.0421081i | ||||
\(831\) | 974172. | − | 1.25159e6i | 0.0489365 | − | 0.0628725i | ||||
\(832\) | 1.11921e7 | + | 1.54047e7i | 0.560538 | + | 0.771514i | ||||
\(833\) | 1.94626e7 | + | 1.41404e7i | 0.971824 | + | 0.706071i | ||||
\(834\) | 250360. | − | 7.56587e6i | 0.0124638 | − | 0.376655i | ||||
\(835\) | − | 8.24435e6i | − | 0.409205i | ||||||
\(836\) | −332257. | + | 812106.i | −0.0164421 | + | 0.0401880i | ||||
\(837\) | −3.31239e7 | + | 1.93670e7i | −1.63428 | + | 0.955541i | ||||
\(838\) | 6.64504e6 | − | 2.15910e6i | 0.326879 | − | 0.106210i | ||||
\(839\) | 1.17370e7 | − | 1.61546e7i | 0.575640 | − | 0.792301i | −0.417569 | − | 0.908645i | \(-0.637118\pi\) |
0.993209 | + | 0.116344i | \(0.0371176\pi\) | |||||||
\(840\) | −9.54440e6 | − | 3.30571e7i | −0.466713 | − | 1.61647i | ||||
\(841\) | −2.79992e6 | + | 8.61725e6i | −0.136507 | + | 0.420125i | ||||
\(842\) | −3.08672e6 | + | 9.49994e6i | −0.150043 | + | 0.461786i | ||||
\(843\) | −4.54784e6 | − | 1.57515e7i | −0.220413 | − | 0.763401i | ||||
\(844\) | −4.49786e6 | + | 6.19078e6i | −0.217345 | + | 0.299150i | ||||
\(845\) | 1.69770e7 | − | 5.51615e6i | 0.817935 | − | 0.265763i | ||||
\(846\) | −5.45915e6 | + | 6.55448e6i | −0.262240 | + | 0.314856i | ||||
\(847\) | 5.00389e6 | − | 3.34743e7i | 0.239662 | − | 1.60326i | ||||
\(848\) | − | 1.44566e6i | − | 0.0690361i | ||||||
\(849\) | −402212. | + | 1.21548e7i | −0.0191507 | + | 0.578734i | ||||
\(850\) | −263404. | − | 191374.i | −0.0125048 | − | 0.00908523i | ||||
\(851\) | 930572. | + | 1.28082e6i | 0.0440480 | + | 0.0606269i | ||||
\(852\) | −9.36839e6 | + | 1.20363e7i | −0.442146 | + | 0.568059i | ||||
\(853\) | −2.28423e7 | − | 7.42191e6i | −1.07490 | − | 0.349255i | −0.282504 | − | 0.959266i | \(-0.591165\pi\) |
−0.792393 | + | 0.610011i | \(0.791165\pi\) | |||||||
\(854\) | −1.10373e7 | + | 8.01907e6i | −0.517867 | + | 0.376253i | ||||
\(855\) | −396153. | − | 1.56449e6i | −0.0185331 | − | 0.0731912i | ||||
\(856\) | −3.56046e6 | − | 1.09580e7i | −0.166082 | − | 0.511147i | ||||
\(857\) | 2.70081e7 | 1.25615 | 0.628075 | − | 0.778152i | \(-0.283843\pi\) | ||||
0.628075 | + | 0.778152i | \(0.283843\pi\) | |||||||
\(858\) | −1.40056e7 | − | 1.26756e7i | −0.649507 | − | 0.587827i | ||||
\(859\) | 2.15752e7 | 0.997634 | 0.498817 | − | 0.866707i | \(-0.333768\pi\) | ||||
0.498817 | + | 0.866707i | \(0.333768\pi\) | |||||||
\(860\) | −4.33939e6 | − | 1.33553e7i | −0.200070 | − | 0.615752i | ||||
\(861\) | 2.08631e7 | + | 3.08093e7i | 0.959118 | + | 1.41636i | ||||
\(862\) | −7.98446e6 | + | 5.80105e6i | −0.365997 | + | 0.265912i | ||||
\(863\) | 2.27820e7 | + | 7.40232e6i | 1.04127 | + | 0.338330i | 0.779238 | − | 0.626728i | \(-0.215606\pi\) |
0.262036 | + | 0.965058i | \(0.415606\pi\) | |||||||
\(864\) | −4.55636e6 | − | 2.08725e7i | −0.207651 | − | 0.951241i | ||||
\(865\) | 2.46181e6 | + | 3.38840e6i | 0.111870 | + | 0.153976i | ||||
\(866\) | 1.18988e7 | + | 8.64497e6i | 0.539148 | + | 0.391714i | ||||
\(867\) | −1.00756e7 | − | 333410.i | −0.455224 | − | 0.0150637i | ||||
\(868\) | − | 3.98085e7i | − | 1.79340i | ||||||
\(869\) | −7.25417e6 | − | 539198.i | −0.325866 | − | 0.0242214i | ||||
\(870\) | −1.02750e7 | − | 3.71853e6i | −0.460238 | − | 0.166561i | ||||
\(871\) | 1.72145e7 | − | 5.59332e6i | 0.768862 | − | 0.249818i | ||||
\(872\) | −826553. | + | 1.13765e6i | −0.0368112 | + | 0.0506662i | ||||
\(873\) | −1.38787e6 | − | 91951.8i | −0.0616328 | − | 0.00408342i | ||||
\(874\) | 23889.1 | − | 73523.1i | 0.00105784 | − | 0.00325571i | ||||
\(875\) | −1.11533e7 | + | 3.43263e7i | −0.492473 | + | 1.51568i | ||||
\(876\) | −1.08042e6 | + | 311944.i | −0.0475700 | + | 0.0137346i | ||||
\(877\) | −4.77813e6 | + | 6.57653e6i | −0.209777 | + | 0.288734i | −0.900921 | − | 0.433984i | \(-0.857107\pi\) |
0.691143 | + | 0.722718i | \(0.257107\pi\) | |||||||
\(878\) | −1.95213e7 | + | 6.34285e6i | −0.854618 | + | 0.277682i | ||||
\(879\) | 1.10579e7 | − | 3.05550e7i | 0.482726 | − | 1.33386i | ||||
\(880\) | 1.47134e6 | − | 910459.i | 0.0640481 | − | 0.0396327i | ||||
\(881\) | − | 1.75899e6i | − | 0.0763525i | −0.999271 | − | 0.0381762i | \(-0.987845\pi\) | ||
0.999271 | − | 0.0381762i | \(-0.0121548\pi\) | |||||||
\(882\) | 9.00048e6 | − | 2.25136e7i | 0.389578 | − | 0.974481i | ||||
\(883\) | −2.74012e7 | − | 1.99081e7i | −1.18268 | − | 0.859269i | −0.190210 | − | 0.981743i | \(-0.560917\pi\) |
−0.992472 | + | 0.122475i | \(0.960917\pi\) | |||||||
\(884\) | −8.00229e6 | − | 1.10142e7i | −0.344416 | − | 0.474049i | ||||
\(885\) | 1.40876e7 | + | 1.09650e7i | 0.604615 | + | 0.470600i | ||||
\(886\) | −2.16724e7 | − | 7.04178e6i | −0.927518 | − | 0.301369i | ||||
\(887\) | 2.00707e7 | − | 1.45822e7i | 0.856551 | − | 0.622320i | −0.0703937 | − | 0.997519i | \(-0.522426\pi\) |
0.926944 | + | 0.375199i | \(0.122426\pi\) | |||||||
\(888\) | 2.08404e7 | − | 1.41125e7i | 0.886899 | − | 0.600582i | ||||
\(889\) | −6.92868e6 | − | 2.13243e7i | −0.294033 | − | 0.904940i | ||||
\(890\) | 6.14969e6 | 0.260243 | ||||||||
\(891\) | 9.70189e6 | + | 2.16200e7i | 0.409413 | + | 0.912349i | ||||
\(892\) | 592441. | 0.0249306 | ||||||||
\(893\) | −347779. | − | 1.07035e6i | −0.0145940 | − | 0.0449157i | ||||
\(894\) | 4.47389e6 | − | 3.02959e6i | 0.187215 | − | 0.126777i | ||||
\(895\) | 3.02690e7 | − | 2.19917e7i | 1.26311 | − | 0.917702i | ||||
\(896\) | 1.93096e7 | + | 6.27406e6i | 0.803531 | + | 0.261083i | ||||
\(897\) | −1.84660e6 | − | 1.43729e6i | −0.0766288 | − | 0.0596437i | ||||
\(898\) | −4.31896e6 | − | 5.94454e6i | −0.178726 | − | 0.245996i | ||||
\(899\) | −2.77302e7 | − | 2.01472e7i | −1.14434 | − | 0.831409i | ||||
\(900\) | 171271. | − | 428413.i | 0.00704818 | − | 0.0176302i | ||||
\(901\) | 1.67471e7i | 0.687269i | ||||||||
\(902\) | −1.07405e7 | + | 1.26867e7i | −0.439549 | + | 0.519199i | ||||
\(903\) | 1.47383e7 | − | 4.07247e7i | 0.601491 | − | 1.66203i | ||||
\(904\) | −2.96270e7 | + | 9.62641e6i | −1.20578 | + | 0.391781i | ||||
\(905\) | −2.61541e7 | + | 3.59980e7i | −1.06149 | + | 1.46102i | ||||
\(906\) | 25356.4 | − | 7321.02i | 0.00102628 | − | 0.000296313i | ||||
\(907\) | −525849. | + | 1.61840e6i | −0.0212247 | + | 0.0653230i | −0.961108 | − | 0.276173i | \(-0.910934\pi\) |
0.939883 | + | 0.341496i | \(0.110934\pi\) | |||||||
\(908\) | −3.70338e6 | + | 1.13978e7i | −0.149068 | + | 0.458783i | ||||
\(909\) | −2.10926e7 | − | 1.39747e6i | −0.846684 | − | 0.0560962i | ||||
\(910\) | −2.11874e7 | + | 2.91620e7i | −0.848154 | + | 1.16738i | ||||
\(911\) | 9.20574e6 | − | 2.99113e6i | 0.367505 | − | 0.119410i | −0.119442 | − | 0.992841i | \(-0.538111\pi\) |
0.486947 | + | 0.873432i | \(0.338111\pi\) | |||||||
\(912\) | −130086. | − | 47078.4i | −0.00517898 | − | 0.00187428i | ||||
\(913\) | −3.38526e6 | + | 3.99870e6i | −0.134405 | + | 0.158760i | ||||
\(914\) | 1.82548e7i | 0.722789i | ||||||||
\(915\) | −1.57532e7 | − | 521284.i | −0.622035 | − | 0.0205836i | ||||
\(916\) | −1.94002e6 | − | 1.40951e6i | −0.0763955 | − | 0.0555046i | ||||
\(917\) | −4.45454e7 | − | 6.13115e7i | −1.74936 | − | 2.40779i | ||||
\(918\) | −2.59060e6 | − | 1.18674e7i | −0.101460 | − | 0.464783i | ||||
\(919\) | 2.12541e7 | + | 6.90588e6i | 0.830145 | + | 0.269731i | 0.693107 | − | 0.720835i | \(-0.256242\pi\) |
0.137039 | + | 0.990566i | \(0.456242\pi\) | |||||||
\(920\) | 1.54049e6 | − | 1.11923e6i | 0.0600051 | − | 0.0435962i | ||||
\(921\) | −1.69693e7 | − | 2.50591e7i | −0.659195 | − | 0.973454i | ||||
\(922\) | −6.27911e6 | − | 1.93251e7i | −0.243260 | − | 0.748678i | ||||
\(923\) | 4.33225e7 | 1.67382 | ||||||||
\(924\) | −2.44440e7 | − | 2.63225e6i | −0.941873 | − | 0.101426i | ||||
\(925\) | 886627. | 0.0340711 | ||||||||
\(926\) | −3.44543e6 | − | 1.06039e7i | −0.132043 | − | 0.406387i | ||||
\(927\) | 3.62897e6 | + | 1.43316e7i | 0.138703 | + | 0.547767i | ||||
\(928\) | 1.54398e7 | − | 1.12177e7i | 0.588536 | − | 0.427596i | ||||
\(929\) | −1.33852e7 | − | 4.34910e6i | −0.508843 | − | 0.165333i | 0.0433328 | − | 0.999061i | \(-0.486202\pi\) |
−0.552176 | + | 0.833727i | \(0.686202\pi\) | |||||||
\(930\) | −2.00911e7 | + | 2.58126e7i | −0.761722 | + | 0.978642i | ||||
\(931\) | 1.88028e6 | + | 2.58799e6i | 0.0710967 | + | 0.0978562i | ||||
\(932\) | 1.37289e7 | + | 9.97466e6i | 0.517723 | + | 0.376148i | ||||
\(933\) | −1.44503e6 | + | 4.36688e7i | −0.0543468 | + | 1.64236i | ||||
\(934\) | − | 7.25382e6i | − | 0.272082i | ||||||
\(935\) | −1.70445e7 | + | 1.05471e7i | −0.637611 | + | 0.394552i | ||||
\(936\) | −2.38082e7 | + | 2.85851e7i | −0.888255 | + | 1.06648i | ||||
\(937\) | 2.84928e7 | − | 9.25786e6i | 1.06019 | − | 0.344478i | 0.273533 | − | 0.961863i | \(-0.411808\pi\) |
0.786662 | + | 0.617384i | \(0.211808\pi\) | |||||||
\(938\) | −9.84822e6 | + | 1.35549e7i | −0.365469 | + | 0.503025i | ||||
\(939\) | 6.51650e6 | + | 2.25700e7i | 0.241185 | + | 0.835347i | ||||
\(940\) | 3.15952e6 | − | 9.72399e6i | 0.116628 | − | 0.358943i | ||||
\(941\) | 4.28103e6 | − | 1.31757e7i | 0.157607 | − | 0.485063i | −0.840809 | − | 0.541332i | \(-0.817920\pi\) |
0.998416 | + | 0.0562686i | \(0.0179203\pi\) | |||||||
\(942\) | 5.41560e6 | + | 1.87570e7i | 0.198847 | + | 0.688708i | ||||
\(943\) | −1.21035e6 | + | 1.66590e6i | −0.0443232 | + | 0.0610057i | ||||
\(944\) | 1.45539e6 | − | 472886.i | 0.0531558 | − | 0.0172714i | ||||
\(945\) | 3.90366e7 | − | 2.28241e7i | 1.42198 | − | 0.831408i | ||||
\(946\) | 1.92949e7 | + | 1.43418e6i | 0.700996 | + | 0.0521046i | ||||
\(947\) | 2.31093e7i | 0.837358i | 0.908134 | + | 0.418679i | \(0.137507\pi\) | ||||
−0.908134 | + | 0.418679i | \(0.862493\pi\) | |||||||
\(948\) | −174751. | + | 5.28095e6i | −0.00631536 | + | 0.190850i | ||||
\(949\) | 2.58411e6 | + | 1.87746e6i | 0.0931418 | + | 0.0676715i | ||||
\(950\) | −25447.5 | − | 35025.5i | −0.000914822 | − | 0.00125914i | ||||
\(951\) | 3.84859e6 | − | 4.94457e6i | 0.137991 | − | 0.177287i | ||||
\(952\) | 3.24952e7 | + | 1.05583e7i | 1.16205 | + | 0.377574i | ||||
\(953\) | 3.80142e7 | − | 2.76190e7i | 1.35586 | − | 0.985088i | 0.357161 | − | 0.934043i | \(-0.383745\pi\) |
0.998696 | − | 0.0510447i | \(-0.0162551\pi\) | |||||||
\(954\) | 1.63622e7 | − | 4.14315e6i | 0.582065 | − | 0.147387i | ||||
\(955\) | 1.46757e7 | + | 4.51673e7i | 0.520705 | + | 1.60256i | ||||
\(956\) | −1.63328e7 | −0.577984 | ||||||||
\(957\) | −1.42048e7 | + | 1.56953e7i | −0.501366 | + | 0.553974i | ||||
\(958\) | 3.05078e7 | 1.07398 | ||||||||
\(959\) | −843009. | − | 2.59451e6i | −0.0295996 | − | 0.0910981i | ||||
\(960\) | −1.14178e7 | − | 1.68610e7i | −0.399857 | − | 0.590481i | ||||
\(961\) | −5.98478e7 | + | 4.34820e7i | −2.09045 | + | 1.51880i | ||||
\(962\) | −2.50774e7 | − | 8.14815e6i | −0.873666 | − | 0.283871i | ||||
\(963\) | 1.28121e7 | − | 8.07118e6i | 0.445200 | − | 0.280460i | ||||
\(964\) | −1.00308e7 | − | 1.38062e7i | −0.347651 | − | 0.478500i | ||||
\(965\) | 1.98299e7 | + | 1.44073e7i | 0.685492 | + | 0.498039i | ||||
\(966\) | 2.16489e6 | + | 71637.8i | 0.0746436 | + | 0.00247001i | ||||
\(967\) | 1.34098e7i | 0.461166i | 0.973053 | + | 0.230583i | \(0.0740633\pi\) | ||||
−0.973053 | + | 0.230583i | \(0.925937\pi\) | |||||||
\(968\) | −4.91384e6 | − | 2.93698e7i | −0.168551 | − | 1.00743i | ||||
\(969\) | 1.50697e6 | + | 545374.i | 0.0515578 | + | 0.0186588i | ||||
\(970\) | −1.12769e6 | + | 366410.i | −0.0384824 | + | 0.0125037i | ||||
\(971\) | 3.20908e7 | − | 4.41692e7i | 1.09228 | − | 1.50339i | 0.247031 | − | 0.969008i | \(-0.420545\pi\) |
0.845244 | − | 0.534380i | \(-0.179455\pi\) | |||||||
\(972\) | 1.54014e7 | − | 7.68682e6i | 0.522872 | − | 0.260964i | ||||
\(973\) | −8.64766e6 | + | 2.66148e7i | −0.292831 | + | 0.901240i | ||||
\(974\) | 9.15318e6 | − | 2.81706e7i | 0.309154 | − | 0.951478i | ||||
\(975\) | −1.25905e6 | + | 363520.i | −0.0424163 | + | 0.0122466i | ||||
\(976\) | −794168. | + | 1.09308e6i | −0.0266863 | + | 0.0367305i | ||||
\(977\) | −2.88007e7 | + | 9.35792e6i | −0.965310 | + | 0.313648i | −0.748921 | − | 0.662659i | \(-0.769428\pi\) |
−0.216389 | + | 0.976307i | \(0.569428\pi\) | |||||||
\(978\) | 2.14018e6 | − | 5.91371e6i | 0.0715490 | − | 0.197703i | ||||
\(979\) | 4.51125e6 | − | 1.10264e7i | 0.150432 | − | 0.367687i | ||||
\(980\) | 2.90618e7i | 0.966623i | ||||||||
\(981\) | −1.71605e6 | − | 686041.i | −0.0569321 | − | 0.0227603i | ||||
\(982\) | −1.06721e7 | − | 7.75377e6i | −0.353161 | − | 0.256587i | ||||
\(983\) | 1.55226e7 | + | 2.13650e7i | 0.512366 | + | 0.705212i | 0.984316 | − | 0.176414i | \(-0.0564497\pi\) |
−0.471950 | + | 0.881625i | \(0.656450\pi\) | |||||||
\(984\) | 2.58333e7 | + | 2.01073e7i | 0.850536 | + | 0.662012i | ||||
\(985\) | −2.92259e7 | − | 9.49608e6i | −0.959793 | − | 0.311856i | ||||
\(986\) | 8.77859e6 | − | 6.37802e6i | 0.287563 | − | 0.208927i | ||||
\(987\) | 2.61104e7 | − | 1.76812e7i | 0.853142 | − | 0.577723i | ||||
\(988\) | −559423. | − | 1.72173e6i | −0.0182326 | − | 0.0561141i | ||||
\(989\) | 2.39681e6 | 0.0779188 | ||||||||
\(990\) | 1.45215e7 | + | 1.40435e7i | 0.470893 | + | 0.455396i | ||||
\(991\) | −2.60450e7 | −0.842444 | −0.421222 | − | 0.906958i | \(-0.638399\pi\) | ||||
−0.421222 | + | 0.906958i | \(0.638399\pi\) | |||||||
\(992\) | −1.76539e7 | − | 5.43332e7i | −0.569589 | − | 1.75302i | ||||
\(993\) | 2.49458e7 | − | 1.68926e7i | 0.802832 | − | 0.543655i | ||||
\(994\) | −3.24432e7 | + | 2.35713e7i | −1.04149 | + | 0.756690i | ||||
\(995\) | −4.67781e7 | − | 1.51991e7i | −1.49791 | − | 0.486699i | ||||
\(996\) | 3.00320e6 | + | 2.33753e6i | 0.0959259 | + | 0.0746636i | ||||
\(997\) | −1.49496e7 | − | 2.05764e7i | −0.476312 | − | 0.655588i | 0.501479 | − | 0.865170i | \(-0.332790\pi\) |
−0.977791 | + | 0.209582i | \(0.932790\pi\) | |||||||
\(998\) | 2.94765e7 | + | 2.14160e7i | 0.936807 | + | 0.680630i | ||||
\(999\) | 2.47029e7 | + | 2.19985e7i | 0.783131 | + | 0.697396i |
(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 | 33.6.f.a.17.7 | yes | 72 | |
3.2 | odd | 2 | inner | 33.6.f.a.17.12 | yes | 72 | |
11.2 | odd | 10 | inner | 33.6.f.a.2.12 | yes | 72 | |
33.2 | even | 10 | inner | 33.6.f.a.2.7 | ✓ | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.6.f.a.2.7 | ✓ | 72 | 33.2 | even | 10 | inner | |
33.6.f.a.2.12 | yes | 72 | 11.2 | odd | 10 | inner | |
33.6.f.a.17.7 | yes | 72 | 1.1 | even | 1 | trivial | |
33.6.f.a.17.12 | yes | 72 | 3.2 | odd | 2 | inner |