Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,8,Mod(3,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.3");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.c (of order \(5\), 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: | \(6.87247056065\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2 x^{11} + 718 x^{10} - 5886 x^{9} + 371698 x^{8} + 6317266 x^{7} + 171079947 x^{6} + 3212289784 x^{5} + 91377152203 x^{4} + \cdots + 475277889155161 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4}\cdot 11^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 3.1 | ||
Root | \(-7.43190 - 5.39959i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 22.3 |
Dual form | 22.8.c.a.15.1 |
$q$-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 \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.47214 | + | 4.70228i | −0.572061 | + | 0.415627i | ||||
\(3\) | −19.8857 | − | 61.2018i | −0.425222 | − | 1.30870i | −0.902781 | − | 0.430100i | \(-0.858478\pi\) |
0.477559 | − | 0.878599i | \(-0.341522\pi\) | |||||||
\(4\) | 19.7771 | − | 60.8676i | 0.154508 | − | 0.475528i | ||||
\(5\) | −37.7557 | − | 27.4311i | −0.135079 | − | 0.0981405i | 0.518194 | − | 0.855263i | \(-0.326605\pi\) |
−0.653273 | + | 0.757123i | \(0.726605\pi\) | |||||||
\(6\) | 416.491 | + | 302.598i | 0.787184 | + | 0.571922i | ||||
\(7\) | −204.857 | + | 630.484i | −0.225739 | + | 0.694753i | 0.772477 | + | 0.635043i | \(0.219018\pi\) |
−0.998216 | + | 0.0597102i | \(0.980982\pi\) | |||||||
\(8\) | 158.217 | + | 486.941i | 0.109254 | + | 0.336249i | ||||
\(9\) | −1580.90 | + | 1148.59i | −0.722862 | + | 0.525190i | ||||
\(10\) | 373.349 | 0.118063 | ||||||||
\(11\) | −3878.93 | + | 2107.38i | −0.878695 | + | 0.477384i | ||||
\(12\) | −4118.49 | −0.688024 | ||||||||
\(13\) | −6223.82 | + | 4521.87i | −0.785697 | + | 0.570842i | −0.906683 | − | 0.421812i | \(-0.861394\pi\) |
0.120986 | + | 0.992654i | \(0.461394\pi\) | |||||||
\(14\) | −1638.85 | − | 5043.87i | −0.159622 | − | 0.491265i | ||||
\(15\) | −928.036 | + | 2856.20i | −0.0709979 | + | 0.218509i | ||||
\(16\) | −3313.73 | − | 2407.57i | −0.202254 | − | 0.146946i | ||||
\(17\) | 12653.3 | + | 9193.17i | 0.624645 | + | 0.453831i | 0.854541 | − | 0.519384i | \(-0.173839\pi\) |
−0.229896 | + | 0.973215i | \(0.573839\pi\) | |||||||
\(18\) | 4830.80 | − | 14867.7i | 0.195238 | − | 0.600882i | ||||
\(19\) | 8445.74 | + | 25993.3i | 0.282488 | + | 0.869409i | 0.987140 | + | 0.159856i | \(0.0511030\pi\) |
−0.704652 | + | 0.709553i | \(0.748897\pi\) | |||||||
\(20\) | −2416.36 | + | 1755.59i | −0.0675394 | + | 0.0490703i | ||||
\(21\) | 42660.4 | 1.00521 | ||||||||
\(22\) | 15195.5 | − | 31879.1i | 0.304254 | − | 0.638302i | ||||
\(23\) | −15120.2 | −0.259125 | −0.129563 | − | 0.991571i | \(-0.541357\pi\) | ||||
−0.129563 | + | 0.991571i | \(0.541357\pi\) | |||||||
\(24\) | 26655.4 | − | 19366.3i | 0.393592 | − | 0.285961i | ||||
\(25\) | −23468.9 | − | 72229.9i | −0.300402 | − | 0.924543i | ||||
\(26\) | 19018.3 | − | 58532.3i | 0.212210 | − | 0.653114i | ||||
\(27\) | −12125.1 | − | 8809.39i | −0.118553 | − | 0.0861336i | ||||
\(28\) | 34324.6 | + | 24938.3i | 0.295496 | + | 0.214691i | ||||
\(29\) | 28560.9 | − | 87901.5i | 0.217460 | − | 0.669273i | −0.781510 | − | 0.623893i | \(-0.785550\pi\) |
0.998970 | − | 0.0453799i | \(-0.0144498\pi\) | |||||||
\(30\) | −7424.29 | − | 22849.6i | −0.0502031 | − | 0.154509i | ||||
\(31\) | −263357. | + | 191340.i | −1.58774 | + | 1.15356i | −0.680653 | + | 0.732606i | \(0.738304\pi\) |
−0.907083 | + | 0.420952i | \(0.861696\pi\) | |||||||
\(32\) | 32768.0 | 0.176777 | ||||||||
\(33\) | 206110. | + | 195491.i | 0.998392 | + | 0.946953i | ||||
\(34\) | −125123. | −0.545960 | ||||||||
\(35\) | 25029.4 | − | 18184.9i | 0.0986760 | − | 0.0716923i | ||||
\(36\) | 38646.4 | + | 118941.i | 0.138054 | + | 0.424888i | ||||
\(37\) | 21604.8 | − | 66492.6i | 0.0701203 | − | 0.215808i | −0.909855 | − | 0.414926i | \(-0.863808\pi\) |
0.979976 | + | 0.199118i | \(0.0638076\pi\) | |||||||
\(38\) | −176890. | − | 128518.i | −0.522950 | − | 0.379946i | ||||
\(39\) | 400511. | + | 290988.i | 1.08116 | + | 0.785506i | ||||
\(40\) | 7383.75 | − | 22724.9i | 0.0182418 | − | 0.0561424i | ||||
\(41\) | −86391.8 | − | 265887.i | −0.195762 | − | 0.602494i | −0.999967 | − | 0.00814181i | \(-0.997408\pi\) |
0.804205 | − | 0.594353i | \(-0.202592\pi\) | |||||||
\(42\) | −276104. | + | 200601.i | −0.575043 | + | 0.417793i | ||||
\(43\) | −861451. | −1.65231 | −0.826154 | − | 0.563444i | \(-0.809476\pi\) | ||||
−0.826154 | + | 0.563444i | \(0.809476\pi\) | |||||||
\(44\) | 51556.9 | + | 277779.i | 0.0912437 | + | 0.491604i | ||||
\(45\) | 91195.1 | 0.149186 | ||||||||
\(46\) | 97859.8 | − | 71099.3i | 0.148235 | − | 0.107699i | ||||
\(47\) | −199698. | − | 614607.i | −0.280563 | − | 0.863485i | −0.987694 | − | 0.156402i | \(-0.950011\pi\) |
0.707130 | − | 0.707083i | \(-0.249989\pi\) | |||||||
\(48\) | −81451.7 | + | 250683.i | −0.106306 | + | 0.327175i | ||||
\(49\) | 310717. | + | 225749.i | 0.377293 | + | 0.274119i | ||||
\(50\) | 491540. | + | 357124.i | 0.556114 | + | 0.404040i | ||||
\(51\) | 311019. | − | 957218.i | 0.328315 | − | 1.01045i | ||||
\(52\) | 152146. | + | 468258.i | 0.150055 | + | 0.461821i | ||||
\(53\) | −849513. | + | 617208.i | −0.783799 | + | 0.569463i | −0.906117 | − | 0.423028i | \(-0.860967\pi\) |
0.122318 | + | 0.992491i | \(0.460967\pi\) | |||||||
\(54\) | 119899. | 0.103619 | ||||||||
\(55\) | 204260. | + | 26838.1i | 0.165544 | + | 0.0217511i | ||||
\(56\) | −339420. | −0.258273 | ||||||||
\(57\) | 1.42289e6 | − | 1.03379e6i | 1.01767 | − | 0.739384i | ||||
\(58\) | 228487. | + | 703212.i | 0.153767 | + | 0.473247i | ||||
\(59\) | 571152. | − | 1.75783e6i | 0.362051 | − | 1.11428i | −0.589756 | − | 0.807581i | \(-0.700776\pi\) |
0.951807 | − | 0.306697i | \(-0.0992239\pi\) | |||||||
\(60\) | 155496. | + | 112975.i | 0.0929375 | + | 0.0675230i | ||||
\(61\) | 777106. | + | 564601.i | 0.438355 | + | 0.318484i | 0.784981 | − | 0.619520i | \(-0.212673\pi\) |
−0.346626 | + | 0.938003i | \(0.612673\pi\) | |||||||
\(62\) | 804746. | − | 2.47675e6i | 0.428833 | − | 1.31981i | ||||
\(63\) | −400310. | − | 1.23203e6i | −0.201699 | − | 0.620767i | ||||
\(64\) | −212079. | + | 154084.i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 359024. | 0.162154 | ||||||||
\(66\) | −2.25323e6 | − | 296056.i | −0.964721 | − | 0.126757i | ||||
\(67\) | −1.19782e6 | −0.486553 | −0.243276 | − | 0.969957i | \(-0.578222\pi\) | ||||
−0.243276 | + | 0.969957i | \(0.578222\pi\) | |||||||
\(68\) | 809812. | − | 588363.i | 0.312322 | − | 0.226915i | ||||
\(69\) | 300675. | + | 925382.i | 0.110186 | + | 0.339117i | ||||
\(70\) | −76482.9 | + | 235390.i | −0.0266515 | + | 0.0820248i | ||||
\(71\) | 4.05030e6 | + | 2.94272e6i | 1.34302 | + | 0.975762i | 0.999327 | + | 0.0366810i | \(0.0116785\pi\) |
0.343695 | + | 0.939081i | \(0.388321\pi\) | |||||||
\(72\) | −809421. | − | 588079.i | −0.255570 | − | 0.185683i | ||||
\(73\) | −1.85870e6 | + | 5.72050e6i | −0.559217 | + | 1.72109i | 0.125322 | + | 0.992116i | \(0.460004\pi\) |
−0.684539 | + | 0.728977i | \(0.739996\pi\) | |||||||
\(74\) | 172838. | + | 531941.i | 0.0495825 | + | 0.152599i | ||||
\(75\) | −3.95391e6 | + | 2.87268e6i | −1.08221 | + | 0.786272i | ||||
\(76\) | 1.74918e6 | 0.457075 | ||||||||
\(77\) | −534041. | − | 2.87731e6i | −0.133308 | − | 0.718240i | ||||
\(78\) | −3.96047e6 | −0.944966 | ||||||||
\(79\) | −410136. | + | 297981.i | −0.0935907 | + | 0.0679976i | −0.633596 | − | 0.773664i | \(-0.718422\pi\) |
0.540006 | + | 0.841661i | \(0.318422\pi\) | |||||||
\(80\) | 59070.0 | + | 181799.i | 0.0128989 | + | 0.0396987i | ||||
\(81\) | −1.61866e6 | + | 4.98171e6i | −0.338421 | + | 1.04155i | ||||
\(82\) | 1.80941e6 | + | 1.31462e6i | 0.362401 | + | 0.263300i | ||||
\(83\) | −6.60960e6 | − | 4.80216e6i | −1.26883 | − | 0.921856i | −0.269671 | − | 0.962953i | \(-0.586915\pi\) |
−0.999155 | + | 0.0410968i | \(0.986915\pi\) | |||||||
\(84\) | 843699. | − | 2.59664e6i | 0.155314 | − | 0.478007i | ||||
\(85\) | −225556. | − | 694189.i | −0.0398371 | − | 0.122606i | ||||
\(86\) | 5.57543e6 | − | 4.05079e6i | 0.945222 | − | 0.686744i | ||||
\(87\) | −5.94768e6 | −0.968345 | ||||||||
\(88\) | −1.63988e6 | − | 1.55539e6i | −0.256521 | − | 0.243304i | ||||
\(89\) | 608839. | 0.0915456 | 0.0457728 | − | 0.998952i | \(-0.485425\pi\) | ||||
0.0457728 | + | 0.998952i | \(0.485425\pi\) | |||||||
\(90\) | −590227. | + | 428825.i | −0.0853435 | + | 0.0620057i | ||||
\(91\) | −1.57597e6 | − | 4.85035e6i | −0.219232 | − | 0.674727i | ||||
\(92\) | −299033. | + | 920329.i | −0.0400370 | + | 0.123221i | ||||
\(93\) | 1.69474e7 | + | 1.23130e7i | 2.18480 | + | 1.58735i | ||||
\(94\) | 4.18252e6 | + | 3.03878e6i | 0.519387 | + | 0.377357i | ||||
\(95\) | 394151. | − | 1.21307e6i | 0.0471661 | − | 0.145162i | ||||
\(96\) | −651614. | − | 2.00546e6i | −0.0751694 | − | 0.231347i | ||||
\(97\) | 8.55176e6 | − | 6.21322e6i | 0.951381 | − | 0.691218i | 0.000247580 | − | 1.00000i | \(-0.499921\pi\) |
0.951133 | + | 0.308782i | \(0.0999212\pi\) | |||||||
\(98\) | −3.07254e6 | −0.329766 | ||||||||
\(99\) | 3.71169e6 | − | 7.78686e6i | 0.384458 | − | 0.806565i | ||||
\(100\) | −4.86061e6 | −0.486061 | ||||||||
\(101\) | 1.33572e7 | − | 9.70455e6i | 1.29000 | − | 0.937240i | 0.290195 | − | 0.956968i | \(-0.406280\pi\) |
0.999805 | + | 0.0197276i | \(0.00627991\pi\) | |||||||
\(102\) | 2.48815e6 | + | 7.65774e6i | 0.232154 | + | 0.714497i | ||||
\(103\) | −5.14609e6 | + | 1.58380e7i | −0.464031 | + | 1.42814i | 0.396167 | + | 0.918179i | \(0.370340\pi\) |
−0.860198 | + | 0.509961i | \(0.829660\pi\) | |||||||
\(104\) | −3.18660e6 | − | 2.31520e6i | −0.277786 | − | 0.201823i | ||||
\(105\) | −1.61067e6 | − | 1.17022e6i | −0.135783 | − | 0.0986521i | ||||
\(106\) | 2.59588e6 | − | 7.98930e6i | 0.211697 | − | 0.651536i | ||||
\(107\) | −3.01459e6 | − | 9.27795e6i | −0.237895 | − | 0.732164i | −0.996724 | − | 0.0808752i | \(-0.974228\pi\) |
0.758830 | − | 0.651289i | \(-0.225772\pi\) | |||||||
\(108\) | −776005. | + | 563801.i | −0.0592764 | + | 0.0430668i | ||||
\(109\) | −9.09015e6 | −0.672323 | −0.336162 | − | 0.941804i | \(-0.609129\pi\) | ||||
−0.336162 | + | 0.941804i | \(0.609129\pi\) | |||||||
\(110\) | −1.44820e6 | + | 786786.i | −0.103742 | + | 0.0563615i | ||||
\(111\) | −4.49909e6 | −0.312244 | ||||||||
\(112\) | 2.19677e6 | − | 1.59605e6i | 0.147748 | − | 0.107345i | ||||
\(113\) | −4.00988e6 | − | 1.23412e7i | −0.261431 | − | 0.804602i | −0.992494 | − | 0.122292i | \(-0.960975\pi\) |
0.731063 | − | 0.682310i | \(-0.239025\pi\) | |||||||
\(114\) | −4.34796e6 | + | 1.33816e7i | −0.274864 | + | 0.845946i | ||||
\(115\) | 570873. | + | 414763.i | 0.0350023 | + | 0.0254307i | ||||
\(116\) | −4.78550e6 | − | 3.47687e6i | −0.284659 | − | 0.206817i | ||||
\(117\) | 4.64546e6 | − | 1.42972e7i | 0.268150 | − | 0.825281i | ||||
\(118\) | 4.56922e6 | + | 1.40626e7i | 0.256009 | + | 0.787914i | ||||
\(119\) | −8.38826e6 | + | 6.09443e6i | −0.456307 | + | 0.331527i | ||||
\(120\) | −1.53763e6 | −0.0812303 | ||||||||
\(121\) | 1.06051e7 | − | 1.63488e7i | 0.544209 | − | 0.838949i | ||||
\(122\) | −7.68445e6 | −0.383136 | ||||||||
\(123\) | −1.45548e7 | + | 1.05747e7i | −0.705241 | + | 0.512388i | ||||
\(124\) | 6.43797e6 | + | 1.98140e7i | 0.303231 | + | 0.933248i | ||||
\(125\) | −2.22193e6 | + | 6.83841e6i | −0.101753 | + | 0.313163i | ||||
\(126\) | 8.38421e6 | + | 6.09148e6i | 0.373392 | + | 0.271285i | ||||
\(127\) | −1.02339e6 | − | 743536.i | −0.0443331 | − | 0.0322099i | 0.565398 | − | 0.824818i | \(-0.308723\pi\) |
−0.609731 | + | 0.792608i | \(0.708723\pi\) | |||||||
\(128\) | 648056. | − | 1.99451e6i | 0.0273135 | − | 0.0840623i | ||||
\(129\) | 1.71305e7 | + | 5.27224e7i | 0.702598 | + | 2.16237i | ||||
\(130\) | −2.32366e6 | + | 1.68823e6i | −0.0927620 | + | 0.0673955i | ||||
\(131\) | −1.37648e7 | −0.534958 | −0.267479 | − | 0.963564i | \(-0.586191\pi\) | ||||
−0.267479 | + | 0.963564i | \(0.586191\pi\) | |||||||
\(132\) | 1.59753e7 | − | 8.67921e6i | 0.604563 | − | 0.328451i | ||||
\(133\) | −1.81185e7 | −0.667793 | ||||||||
\(134\) | 7.75245e6 | − | 5.63249e6i | 0.278338 | − | 0.202224i | ||||
\(135\) | 216140. | + | 665209.i | 0.00756077 | + | 0.0232697i | ||||
\(136\) | −2.47457e6 | + | 7.61593e6i | −0.0843554 | + | 0.259619i | ||||
\(137\) | 3.27915e6 | + | 2.38244e6i | 0.108953 | + | 0.0791590i | 0.640928 | − | 0.767601i | \(-0.278550\pi\) |
−0.531975 | + | 0.846760i | \(0.678550\pi\) | |||||||
\(138\) | −6.29741e6 | − | 4.57534e6i | −0.203979 | − | 0.148199i | ||||
\(139\) | 1.64965e7 | − | 5.07711e7i | 0.521004 | − | 1.60349i | −0.251081 | − | 0.967966i | \(-0.580786\pi\) |
0.772085 | − | 0.635519i | \(-0.219214\pi\) | |||||||
\(140\) | −611864. | − | 1.88312e6i | −0.0188454 | − | 0.0580003i | ||||
\(141\) | −3.36439e7 | + | 2.44437e7i | −1.01074 | + | 0.734346i | ||||
\(142\) | −4.00516e7 | −1.17384 | ||||||||
\(143\) | 1.46125e7 | − | 3.06560e7i | 0.417877 | − | 0.876675i | ||||
\(144\) | 8.00399e6 | 0.223377 | ||||||||
\(145\) | −3.48957e6 | + | 2.53532e6i | −0.0950570 | + | 0.0690630i | ||||
\(146\) | −1.48696e7 | − | 4.57640e7i | −0.395426 | − | 1.21700i | ||||
\(147\) | 7.63743e6 | − | 2.35056e7i | 0.198306 | − | 0.610324i | ||||
\(148\) | −3.61997e6 | − | 2.63006e6i | −0.0917886 | − | 0.0666883i | ||||
\(149\) | 3.54889e7 | + | 2.57842e7i | 0.878902 | + | 0.638560i | 0.932961 | − | 0.359978i | \(-0.117216\pi\) |
−0.0540588 | + | 0.998538i | \(0.517216\pi\) | |||||||
\(150\) | 1.20821e7 | − | 3.71848e7i | 0.292295 | − | 0.899592i | ||||
\(151\) | 2.35137e7 | + | 7.23679e7i | 0.555779 | + | 1.71051i | 0.693876 | + | 0.720094i | \(0.255902\pi\) |
−0.138097 | + | 0.990419i | \(0.544098\pi\) | |||||||
\(152\) | −1.13209e7 | + | 8.22515e6i | −0.261475 | + | 0.189973i | ||||
\(153\) | −3.05628e7 | −0.689880 | ||||||||
\(154\) | 1.69863e7 | + | 1.61112e7i | 0.374781 | + | 0.355471i | ||||
\(155\) | 1.51919e7 | 0.327680 | ||||||||
\(156\) | 2.56327e7 | − | 1.86233e7i | 0.540578 | − | 0.392753i | ||||
\(157\) | −1.45880e7 | − | 4.48974e7i | −0.300849 | − | 0.925917i | −0.981194 | − | 0.193025i | \(-0.938170\pi\) |
0.680345 | − | 0.732892i | \(-0.261830\pi\) | |||||||
\(158\) | 1.25326e6 | − | 3.85715e6i | 0.0252780 | − | 0.0777976i | ||||
\(159\) | 5.46674e7 | + | 3.97182e7i | 1.07854 | + | 0.783609i | ||||
\(160\) | −1.23718e6 | − | 898863.i | −0.0238788 | − | 0.0173490i | ||||
\(161\) | 3.09747e6 | − | 9.53302e6i | 0.0584946 | − | 0.180028i | ||||
\(162\) | −1.29492e7 | − | 3.98537e7i | −0.239300 | − | 0.736488i | ||||
\(163\) | −1.56352e7 | + | 1.13596e7i | −0.282779 | + | 0.205451i | −0.720128 | − | 0.693841i | \(-0.755917\pi\) |
0.437350 | + | 0.899291i | \(0.355917\pi\) | |||||||
\(164\) | −1.78925e7 | −0.316750 | ||||||||
\(165\) | −2.41930e6 | − | 1.30347e7i | −0.0419272 | − | 0.225896i | ||||
\(166\) | 6.53593e7 | 1.10899 | ||||||||
\(167\) | 1.98729e7 | − | 1.44385e7i | 0.330182 | − | 0.239891i | −0.410326 | − | 0.911939i | \(-0.634585\pi\) |
0.740508 | + | 0.672048i | \(0.234585\pi\) | |||||||
\(168\) | 6.74959e6 | + | 2.07731e7i | 0.109823 | + | 0.338002i | ||||
\(169\) | −1.10174e6 | + | 3.39080e6i | −0.0175580 | + | 0.0540380i | ||||
\(170\) | 4.72410e6 | + | 3.43226e6i | 0.0737476 | + | 0.0535808i | ||||
\(171\) | −4.32076e7 | − | 3.13921e7i | −0.660805 | − | 0.480103i | ||||
\(172\) | −1.70370e7 | + | 5.24345e7i | −0.255296 | + | 0.785720i | ||||
\(173\) | 4.96854e6 | + | 1.52916e7i | 0.0729571 | + | 0.224539i | 0.980885 | − | 0.194587i | \(-0.0623366\pi\) |
−0.907928 | + | 0.419126i | \(0.862337\pi\) | |||||||
\(174\) | 3.84942e7 | − | 2.79677e7i | 0.553953 | − | 0.402470i | ||||
\(175\) | 5.03475e7 | 0.710142 | ||||||||
\(176\) | 1.79274e7 | + | 2.35552e6i | 0.247870 | + | 0.0325681i | ||||
\(177\) | −1.18940e8 | −1.61221 | ||||||||
\(178\) | −3.94049e6 | + | 2.86293e6i | −0.0523697 | + | 0.0380488i | ||||
\(179\) | 2.49535e7 | + | 7.67991e7i | 0.325197 | + | 1.00085i | 0.971352 | + | 0.237647i | \(0.0763761\pi\) |
−0.646155 | + | 0.763207i | \(0.723624\pi\) | |||||||
\(180\) | 1.80357e6 | − | 5.55083e6i | 0.0230505 | − | 0.0709421i | ||||
\(181\) | −4.97413e7 | − | 3.61392e7i | −0.623508 | − | 0.453005i | 0.230637 | − | 0.973040i | \(-0.425919\pi\) |
−0.854145 | + | 0.520035i | \(0.825919\pi\) | |||||||
\(182\) | 3.30076e7 | + | 2.39814e7i | 0.405849 | + | 0.294867i | ||||
\(183\) | 1.91013e7 | − | 5.87878e7i | 0.230401 | − | 0.709101i | ||||
\(184\) | −2.39226e6 | − | 7.36263e6i | −0.0283104 | − | 0.0871306i | ||||
\(185\) | −2.63967e6 | + | 1.91783e6i | −0.0306513 | + | 0.0222695i | ||||
\(186\) | −1.67585e8 | −1.90959 | ||||||||
\(187\) | −6.84549e7 | − | 8.99441e6i | −0.765524 | − | 0.100584i | ||||
\(188\) | −4.13591e7 | −0.453961 | ||||||||
\(189\) | 8.03808e6 | − | 5.84001e6i | 0.0866036 | − | 0.0629212i | ||||
\(190\) | 3.15321e6 | + | 9.70457e6i | 0.0333515 | + | 0.102645i | ||||
\(191\) | −4.40152e7 | + | 1.35465e8i | −0.457074 | + | 1.40673i | 0.411610 | + | 0.911360i | \(0.364967\pi\) |
−0.868683 | + | 0.495368i | \(0.835033\pi\) | |||||||
\(192\) | 1.36476e7 | + | 9.91554e6i | 0.139156 | + | 0.101103i | ||||
\(193\) | −3.30071e7 | − | 2.39811e7i | −0.330489 | − | 0.240114i | 0.410149 | − | 0.912019i | \(-0.365477\pi\) |
−0.740638 | + | 0.671904i | \(0.765477\pi\) | |||||||
\(194\) | −2.61318e7 | + | 8.04255e7i | −0.256959 | + | 0.790839i | ||||
\(195\) | −7.13944e6 | − | 2.19729e7i | −0.0689514 | − | 0.212211i | ||||
\(196\) | 1.98859e7 | − | 1.44479e7i | 0.188646 | − | 0.137060i | ||||
\(197\) | 1.24454e8 | 1.15978 | 0.579892 | − | 0.814694i | \(-0.303095\pi\) | ||||
0.579892 | + | 0.814694i | \(0.303095\pi\) | |||||||
\(198\) | 1.25934e7 | + | 6.78511e7i | 0.115296 | + | 0.621196i | ||||
\(199\) | 2.16245e7 | 0.194518 | 0.0972592 | − | 0.995259i | \(-0.468992\pi\) | ||||
0.0972592 | + | 0.995259i | \(0.468992\pi\) | |||||||
\(200\) | 3.14585e7 | − | 2.28560e7i | 0.278057 | − | 0.202020i | ||||
\(201\) | 2.38195e7 | + | 7.33087e7i | 0.206893 | + | 0.636751i | ||||
\(202\) | −4.08159e7 | + | 1.25618e8i | −0.348417 | + | 1.07232i | ||||
\(203\) | 4.95695e7 | + | 3.60144e7i | 0.415890 | + | 0.302162i | ||||
\(204\) | −5.21125e7 | − | 3.78620e7i | −0.429770 | − | 0.312247i | ||||
\(205\) | −4.03178e6 | + | 1.24086e7i | −0.0326858 | + | 0.100596i | ||||
\(206\) | −4.11687e7 | − | 1.26704e8i | −0.328119 | − | 1.00985i | ||||
\(207\) | 2.39035e7 | − | 1.73669e7i | 0.187312 | − | 0.136090i | ||||
\(208\) | 3.15108e7 | 0.242794 | ||||||||
\(209\) | −8.75382e7 | − | 8.30280e7i | −0.663262 | − | 0.629090i | ||||
\(210\) | 1.59272e7 | 0.118679 | ||||||||
\(211\) | −1.69714e7 | + | 1.23304e7i | −0.124374 | + | 0.0903628i | −0.648233 | − | 0.761442i | \(-0.724492\pi\) |
0.523859 | + | 0.851805i | \(0.324492\pi\) | |||||||
\(212\) | 2.07671e7 | + | 6.39144e7i | 0.149692 | + | 0.460706i | ||||
\(213\) | 9.95566e7 | − | 3.06404e8i | 0.705897 | − | 2.17253i | ||||
\(214\) | 6.31383e7 | + | 4.58727e7i | 0.440398 | + | 0.319968i | ||||
\(215\) | 3.25247e7 | + | 2.36306e7i | 0.223192 | + | 0.162158i | ||||
\(216\) | 2.37126e6 | − | 7.29799e6i | 0.0160100 | − | 0.0492737i | ||||
\(217\) | −6.66863e7 | − | 2.05239e8i | −0.443024 | − | 1.36349i | ||||
\(218\) | 5.88327e7 | − | 4.27444e7i | 0.384610 | − | 0.279436i | ||||
\(219\) | 3.87067e8 | 2.49018 | ||||||||
\(220\) | 5.67323e6 | − | 1.19020e7i | 0.0359212 | − | 0.0753600i | ||||
\(221\) | −1.20322e8 | −0.749848 | ||||||||
\(222\) | 2.91188e7 | − | 2.11560e7i | 0.178623 | − | 0.129777i | ||||
\(223\) | −1.01635e8 | − | 3.12800e8i | −0.613727 | − | 1.88886i | −0.418949 | − | 0.908010i | \(-0.637601\pi\) |
−0.194778 | − | 0.980847i | \(-0.562399\pi\) | |||||||
\(224\) | −6.71274e6 | + | 2.06597e7i | −0.0399054 | + | 0.122816i | ||||
\(225\) | 1.20065e8 | + | 8.72321e7i | 0.702711 | + | 0.510549i | ||||
\(226\) | 8.39841e7 | + | 6.10180e7i | 0.483969 | + | 0.351624i | ||||
\(227\) | −6.76118e7 | + | 2.08088e8i | −0.383647 | + | 1.18074i | 0.553810 | + | 0.832643i | \(0.313173\pi\) |
−0.937457 | + | 0.348101i | \(0.886827\pi\) | |||||||
\(228\) | −3.47837e7 | − | 1.07053e8i | −0.194358 | − | 0.598174i | ||||
\(229\) | 8.58949e7 | − | 6.24063e7i | 0.472654 | − | 0.343403i | −0.325821 | − | 0.945431i | \(-0.605641\pi\) |
0.798475 | + | 0.602029i | \(0.205641\pi\) | |||||||
\(230\) | −5.64510e6 | −0.0305931 | ||||||||
\(231\) | −1.65477e8 | + | 8.99016e7i | −0.883275 | + | 0.479872i | ||||
\(232\) | 4.73216e7 | 0.248801 | ||||||||
\(233\) | −2.42929e8 | + | 1.76498e8i | −1.25815 | + | 0.914102i | −0.998666 | − | 0.0516439i | \(-0.983554\pi\) |
−0.259488 | + | 0.965746i | \(0.583554\pi\) | |||||||
\(234\) | 3.71637e7 | + | 1.14378e8i | 0.189611 | + | 0.583562i | ||||
\(235\) | −9.31962e6 | + | 2.86828e7i | −0.0468447 | + | 0.144173i | ||||
\(236\) | −9.56989e7 | − | 6.95294e7i | −0.473931 | − | 0.344331i | ||||
\(237\) | 2.63928e7 | + | 1.91755e7i | 0.128785 | + | 0.0935680i | ||||
\(238\) | 2.56322e7 | − | 7.88879e7i | 0.123244 | − | 0.379307i | ||||
\(239\) | 2.35874e7 | + | 7.25947e7i | 0.111760 | + | 0.343963i | 0.991258 | − | 0.131941i | \(-0.0421209\pi\) |
−0.879497 | + | 0.475904i | \(0.842121\pi\) | |||||||
\(240\) | 9.95177e6 | − | 7.23038e6i | 0.0464687 | − | 0.0337615i | ||||
\(241\) | 5.09450e7 | 0.234445 | 0.117223 | − | 0.993106i | \(-0.462601\pi\) | ||||
0.117223 | + | 0.993106i | \(0.462601\pi\) | |||||||
\(242\) | 8.23879e6 | + | 1.55680e8i | 0.0373689 | + | 0.706119i | ||||
\(243\) | 3.04300e8 | 1.36044 | ||||||||
\(244\) | 4.97348e7 | − | 3.61344e7i | 0.219177 | − | 0.159242i | ||||
\(245\) | −5.53878e6 | − | 1.70466e7i | −0.0240621 | − | 0.0740555i | ||||
\(246\) | 4.44755e7 | − | 1.36881e8i | 0.190479 | − | 0.586235i | ||||
\(247\) | −1.70103e8 | − | 1.23587e8i | −0.718245 | − | 0.521836i | ||||
\(248\) | −1.34839e8 | − | 9.79660e7i | −0.561349 | − | 0.407844i | ||||
\(249\) | −1.62464e8 | + | 5.00014e8i | −0.666899 | + | 2.05250i | ||||
\(250\) | −1.77755e7 | − | 5.47073e7i | −0.0719500 | − | 0.221439i | ||||
\(251\) | −2.92702e8 | + | 2.12661e8i | −1.16834 | + | 0.848846i | −0.990809 | − | 0.135270i | \(-0.956810\pi\) |
−0.177528 | + | 0.984116i | \(0.556810\pi\) | |||||||
\(252\) | −8.29076e7 | −0.326357 | ||||||||
\(253\) | 5.86502e7 | − | 3.18639e7i | 0.227692 | − | 0.123702i | ||||
\(254\) | 1.01198e7 | 0.0387485 | ||||||||
\(255\) | −3.80003e7 | + | 2.76088e7i | −0.143515 | + | 0.104270i | ||||
\(256\) | 5.18444e6 | + | 1.59561e7i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | 3.46749e7 | − | 1.06718e8i | 0.127423 | − | 0.392169i | −0.866912 | − | 0.498462i | \(-0.833898\pi\) |
0.994335 | + | 0.106294i | \(0.0338983\pi\) | |||||||
\(258\) | −3.58787e8 | − | 2.60674e8i | −1.30067 | − | 0.944993i | ||||
\(259\) | 3.74966e7 | + | 2.72429e7i | 0.134104 | + | 0.0974326i | ||||
\(260\) | 7.10046e6 | − | 2.18530e7i | 0.0250541 | − | 0.0771087i | ||||
\(261\) | 5.58109e7 | + | 1.71768e8i | 0.194302 | + | 0.598000i | ||||
\(262\) | 8.90874e7 | − | 6.47258e7i | 0.306029 | − | 0.222343i | ||||
\(263\) | 4.50529e7 | 0.152713 | 0.0763567 | − | 0.997081i | \(-0.475671\pi\) | ||||
0.0763567 | + | 0.997081i | \(0.475671\pi\) | |||||||
\(264\) | −6.25826e7 | + | 1.31294e8i | −0.209334 | + | 0.439167i | ||||
\(265\) | 4.90047e7 | 0.161762 | ||||||||
\(266\) | 1.17266e8 | − | 8.51984e7i | 0.382019 | − | 0.277553i | ||||
\(267\) | −1.21072e7 | − | 3.72620e7i | −0.0389272 | − | 0.119806i | ||||
\(268\) | −2.36894e7 | + | 7.29084e7i | −0.0751765 | + | 0.231369i | ||||
\(269\) | −1.10615e8 | − | 8.03668e7i | −0.346484 | − | 0.251735i | 0.400909 | − | 0.916118i | \(-0.368694\pi\) |
−0.747392 | + | 0.664383i | \(0.768694\pi\) | |||||||
\(270\) | −4.52689e6 | − | 3.28898e6i | −0.0139967 | − | 0.0101692i | ||||
\(271\) | 2.13371e7 | − | 6.56688e7i | 0.0651243 | − | 0.200432i | −0.913200 | − | 0.407513i | \(-0.866396\pi\) |
0.978324 | + | 0.207081i | \(0.0663963\pi\) | |||||||
\(272\) | −1.97965e7 | − | 6.09274e7i | −0.0596483 | − | 0.183578i | ||||
\(273\) | −2.65511e8 | + | 1.92905e8i | −0.789792 | + | 0.573818i | ||||
\(274\) | −3.24260e7 | −0.0952284 | ||||||||
\(275\) | 2.43250e8 | + | 2.30717e8i | 0.705324 | + | 0.668984i | ||||
\(276\) | 6.22723e7 | 0.178284 | ||||||||
\(277\) | −1.36711e8 | + | 9.93265e7i | −0.386478 | + | 0.280793i | −0.764011 | − | 0.645203i | \(-0.776773\pi\) |
0.377533 | + | 0.925996i | \(0.376773\pi\) | |||||||
\(278\) | 1.31972e8 | + | 4.06169e8i | 0.368405 | + | 1.13384i | ||||
\(279\) | 1.96569e8 | − | 6.04978e8i | 0.541877 | − | 1.66773i | ||||
\(280\) | 1.28150e7 | + | 9.31067e6i | 0.0348872 | + | 0.0253471i | ||||
\(281\) | 3.99435e8 | + | 2.90207e8i | 1.07393 | + | 0.780253i | 0.976614 | − | 0.215001i | \(-0.0689756\pi\) |
0.0973118 | + | 0.995254i | \(0.468976\pi\) | |||||||
\(282\) | 1.02807e8 | − | 3.16406e8i | 0.272992 | − | 0.840182i | ||||
\(283\) | 2.85481e7 | + | 8.78619e7i | 0.0748728 | + | 0.230435i | 0.981488 | − | 0.191523i | \(-0.0613428\pi\) |
−0.906615 | + | 0.421958i | \(0.861343\pi\) | |||||||
\(284\) | 2.59219e8 | − | 1.88334e8i | 0.671511 | − | 0.487881i | ||||
\(285\) | −8.20801e7 | −0.210030 | ||||||||
\(286\) | 4.95789e7 | + | 2.67122e8i | 0.125319 | + | 0.675193i | ||||
\(287\) | 1.85335e8 | 0.462776 | ||||||||
\(288\) | −5.18029e7 | + | 3.76370e7i | −0.127785 | + | 0.0928414i | ||||
\(289\) | −5.12096e7 | − | 1.57607e8i | −0.124798 | − | 0.384090i | ||||
\(290\) | 1.06632e7 | − | 3.28179e7i | 0.0256740 | − | 0.0790165i | ||||
\(291\) | −5.50317e8 | − | 3.99829e8i | −1.30915 | − | 0.951150i | ||||
\(292\) | 3.11434e8 | + | 2.26270e8i | 0.732024 | + | 0.531847i | ||||
\(293\) | −4.95767e6 | + | 1.52581e7i | −0.0115144 | + | 0.0354377i | −0.956649 | − | 0.291245i | \(-0.905931\pi\) |
0.945134 | + | 0.326682i | \(0.105931\pi\) | |||||||
\(294\) | 6.10995e7 | + | 1.88045e8i | 0.140224 | + | 0.431565i | ||||
\(295\) | −6.97834e7 | + | 5.07006e7i | −0.158261 | + | 0.114984i | ||||
\(296\) | 3.57962e7 | 0.0802262 | ||||||||
\(297\) | 6.55971e7 | + | 8.61893e6i | 0.145290 | + | 0.0190900i | ||||
\(298\) | −3.50933e8 | −0.768188 | ||||||||
\(299\) | 9.41052e7 | − | 6.83714e7i | 0.203594 | − | 0.147920i | ||||
\(300\) | 9.66565e7 | + | 2.97478e8i | 0.206684 | + | 0.636108i | ||||
\(301\) | 1.76474e8 | − | 5.43131e8i | 0.372991 | − | 1.14795i | ||||
\(302\) | −4.92478e8 | − | 3.57806e8i | −1.02888 | − | 0.747522i | ||||
\(303\) | −8.59553e8 | − | 6.24501e8i | −1.77510 | − | 1.28969i | ||||
\(304\) | 3.45937e7 | − | 1.06469e8i | 0.0706220 | − | 0.217352i | ||||
\(305\) | −1.38526e7 | − | 4.26338e7i | −0.0279563 | − | 0.0860408i | ||||
\(306\) | 1.97807e8 | − | 1.43715e8i | 0.394654 | − | 0.286733i | ||||
\(307\) | 4.87741e8 | 0.962066 | 0.481033 | − | 0.876703i | \(-0.340262\pi\) | ||||
0.481033 | + | 0.876703i | \(0.340262\pi\) | |||||||
\(308\) | −1.85697e8 | − | 2.43991e7i | −0.362141 | − | 0.0475824i | ||||
\(309\) | 1.07165e9 | 2.06632 | ||||||||
\(310\) | −9.83239e7 | + | 7.14365e7i | −0.187453 | + | 0.136193i | ||||
\(311\) | −2.22745e8 | − | 6.85539e8i | −0.419901 | − | 1.29232i | −0.907793 | − | 0.419418i | \(-0.862234\pi\) |
0.487892 | − | 0.872904i | \(-0.337766\pi\) | |||||||
\(312\) | −7.83266e7 | + | 2.41065e8i | −0.146005 | + | 0.449358i | ||||
\(313\) | −1.89881e8 | − | 1.37956e8i | −0.350006 | − | 0.254295i | 0.398865 | − | 0.917010i | \(-0.369404\pi\) |
−0.748872 | + | 0.662715i | \(0.769404\pi\) | |||||||
\(314\) | 3.05536e8 | + | 2.21985e8i | 0.556940 | + | 0.404641i | ||||
\(315\) | −1.86819e7 | + | 5.74970e7i | −0.0336771 | + | 0.103647i | ||||
\(316\) | 1.00261e7 | + | 3.08572e7i | 0.0178742 | + | 0.0550112i | ||||
\(317\) | 5.35521e8 | − | 3.89079e8i | 0.944212 | − | 0.686010i | −0.00521915 | − | 0.999986i | \(-0.501661\pi\) |
0.949431 | + | 0.313976i | \(0.101661\pi\) | |||||||
\(318\) | −5.40581e8 | −0.942683 | ||||||||
\(319\) | 7.44555e7 | + | 4.01153e8i | 0.128419 | + | 0.691898i | ||||
\(320\) | 1.22339e7 | 0.0208708 | ||||||||
\(321\) | −5.07880e8 | + | 3.68996e8i | −0.857025 | + | 0.622665i | ||||
\(322\) | 2.47797e7 | + | 7.62642e7i | 0.0413620 | + | 0.127299i | ||||
\(323\) | −1.32094e8 | + | 4.06545e8i | −0.218110 | + | 0.671273i | ||||
\(324\) | 2.71212e8 | + | 1.97047e8i | 0.442998 | + | 0.321857i | ||||
\(325\) | 4.72681e8 | + | 3.43423e8i | 0.763794 | + | 0.554929i | ||||
\(326\) | 4.77769e7 | − | 1.47042e8i | 0.0763759 | − | 0.235061i | ||||
\(327\) | 1.80764e8 | + | 5.56333e8i | 0.285887 | + | 0.879869i | ||||
\(328\) | 1.15802e8 | − | 8.41354e7i | 0.181200 | − | 0.131650i | ||||
\(329\) | 4.28409e8 | 0.663243 | ||||||||
\(330\) | 7.69511e7 | + | 7.29864e7i | 0.117873 | + | 0.111800i | ||||
\(331\) | −1.40023e8 | −0.212227 | −0.106113 | − | 0.994354i | \(-0.533841\pi\) | ||||
−0.106113 | + | 0.994354i | \(0.533841\pi\) | |||||||
\(332\) | −4.23015e8 | + | 3.07338e8i | −0.634413 | + | 0.460928i | ||||
\(333\) | 4.22179e7 | + | 1.29933e8i | 0.0626530 | + | 0.192826i | ||||
\(334\) | −6.07261e7 | + | 1.86896e8i | −0.0891790 | + | 0.274465i | ||||
\(335\) | 4.52245e7 | + | 3.28575e7i | 0.0657230 | + | 0.0477505i | ||||
\(336\) | −1.41365e8 | − | 1.02708e8i | −0.203308 | − | 0.147712i | ||||
\(337\) | −3.45614e8 | + | 1.06369e9i | −0.491911 | + | 1.51395i | 0.329806 | + | 0.944049i | \(0.393017\pi\) |
−0.821716 | + | 0.569897i | \(0.806983\pi\) | |||||||
\(338\) | −8.81391e6 | − | 2.71264e7i | −0.0124154 | − | 0.0382106i | ||||
\(339\) | −6.75562e8 | + | 4.90824e8i | −0.941816 | + | 0.684269i | ||||
\(340\) | −4.67145e7 | −0.0644578 | ||||||||
\(341\) | 6.18318e8 | − | 1.29719e9i | 0.844446 | − | 1.77158i | ||||
\(342\) | 4.27260e8 | 0.577565 | ||||||||
\(343\) | −6.47667e8 | + | 4.70558e8i | −0.866608 | + | 0.629627i | ||||
\(344\) | −1.36296e8 | − | 4.19476e8i | −0.180521 | − | 0.555588i | ||||
\(345\) | 1.40321e7 | − | 4.31863e7i | 0.0183973 | − | 0.0566212i | ||||
\(346\) | −1.04062e8 | − | 7.56058e7i | −0.135060 | − | 0.0981271i | ||||
\(347\) | −8.82931e8 | − | 6.41487e8i | −1.13442 | − | 0.824204i | −0.148087 | − | 0.988974i | \(-0.547312\pi\) |
−0.986332 | + | 0.164771i | \(0.947312\pi\) | |||||||
\(348\) | −1.17628e8 | + | 3.62021e8i | −0.149618 | + | 0.460476i | ||||
\(349\) | −8.93081e7 | − | 2.74862e8i | −0.112461 | − | 0.346119i | 0.878948 | − | 0.476918i | \(-0.158246\pi\) |
−0.991409 | + | 0.130798i | \(0.958246\pi\) | |||||||
\(350\) | −3.25856e8 | + | 2.36748e8i | −0.406245 | + | 0.295154i | ||||
\(351\) | 1.15299e8 | 0.142315 | ||||||||
\(352\) | −1.27105e8 | + | 6.90545e7i | −0.155333 | + | 0.0843903i | ||||
\(353\) | −1.22512e9 | −1.48241 | −0.741204 | − | 0.671279i | \(-0.765745\pi\) | ||||
−0.741204 | + | 0.671279i | \(0.765745\pi\) | |||||||
\(354\) | 7.69795e8 | − | 5.59289e8i | 0.922282 | − | 0.670077i | ||||
\(355\) | −7.21999e7 | − | 2.22209e8i | −0.0856520 | − | 0.263610i | ||||
\(356\) | 1.20411e7 | − | 3.70586e7i | 0.0141446 | − | 0.0435325i | ||||
\(357\) | 5.39796e8 | + | 3.92185e8i | 0.627901 | + | 0.456196i | ||||
\(358\) | −5.22634e8 | − | 3.79716e8i | −0.602014 | − | 0.437389i | ||||
\(359\) | 5.74309e7 | − | 1.76754e8i | 0.0655112 | − | 0.201623i | −0.912943 | − | 0.408087i | \(-0.866196\pi\) |
0.978454 | + | 0.206465i | \(0.0661959\pi\) | |||||||
\(360\) | 1.44286e7 | + | 4.44066e7i | 0.0162992 | + | 0.0501636i | ||||
\(361\) | 1.18836e8 | − | 8.63393e7i | 0.132945 | − | 0.0965902i | ||||
\(362\) | 4.91869e8 | 0.544966 | ||||||||
\(363\) | −1.21146e9 | − | 3.23945e8i | −1.32934 | − | 0.355466i | ||||
\(364\) | −3.26397e8 | −0.354725 | ||||||||
\(365\) | 2.27096e8 | − | 1.64995e8i | 0.244447 | − | 0.177601i | ||||
\(366\) | 1.52810e8 | + | 4.70302e8i | 0.162918 | + | 0.501410i | ||||
\(367\) | −5.49861e8 | + | 1.69230e9i | −0.580659 | + | 1.78709i | 0.0353842 | + | 0.999374i | \(0.488735\pi\) |
−0.616044 | + | 0.787712i | \(0.711265\pi\) | |||||||
\(368\) | 5.01042e7 | + | 3.64029e7i | 0.0524091 | + | 0.0380775i | ||||
\(369\) | 4.41972e8 | + | 3.21111e8i | 0.457933 | + | 0.332708i | ||||
\(370\) | 8.06611e6 | − | 2.48249e7i | 0.00827863 | − | 0.0254790i | ||||
\(371\) | −2.15111e8 | − | 6.62043e8i | −0.218703 | − | 0.673097i | ||||
\(372\) | 1.08463e9 | − | 7.88031e8i | 1.09240 | − | 0.793675i | ||||
\(373\) | 1.37112e8 | 0.136802 | 0.0684011 | − | 0.997658i | \(-0.478210\pi\) | ||||
0.0684011 | + | 0.997658i | \(0.478210\pi\) | |||||||
\(374\) | 4.85343e8 | − | 2.63681e8i | 0.479732 | − | 0.260632i | ||||
\(375\) | 4.62707e8 | 0.453103 | ||||||||
\(376\) | 2.67682e8 | − | 1.94482e8i | 0.259693 | − | 0.188678i | ||||
\(377\) | 2.19721e8 | + | 6.76232e8i | 0.211192 | + | 0.649981i | ||||
\(378\) | −2.45622e7 | + | 7.55946e7i | −0.0233908 | + | 0.0719896i | ||||
\(379\) | 1.57355e9 | + | 1.14325e9i | 1.48472 | + | 1.07871i | 0.975999 | + | 0.217777i | \(0.0698804\pi\) |
0.508718 | + | 0.860933i | \(0.330120\pi\) | |||||||
\(380\) | −6.60416e7 | − | 4.79820e7i | −0.0617412 | − | 0.0448576i | ||||
\(381\) | −2.51550e7 | + | 7.74190e7i | −0.0233016 | + | 0.0717150i | ||||
\(382\) | −3.52122e8 | − | 1.08372e9i | −0.323200 | − | 0.994707i | ||||
\(383\) | 1.33359e9 | − | 9.68910e8i | 1.21290 | − | 0.881227i | 0.217413 | − | 0.976080i | \(-0.430238\pi\) |
0.995491 | + | 0.0948527i | \(0.0302380\pi\) | |||||||
\(384\) | −1.34955e8 | −0.121627 | ||||||||
\(385\) | −5.87649e7 | + | 1.23284e8i | −0.0524814 | + | 0.110102i | ||||
\(386\) | 3.26393e8 | 0.288858 | ||||||||
\(387\) | 1.36187e9 | − | 9.89456e8i | 1.19439 | − | 0.867777i | ||||
\(388\) | −2.09055e8 | − | 6.43404e8i | −0.181698 | − | 0.559207i | ||||
\(389\) | 1.82011e8 | − | 5.60171e8i | 0.156774 | − | 0.482500i | −0.841563 | − | 0.540160i | \(-0.818364\pi\) |
0.998336 | + | 0.0576599i | \(0.0183639\pi\) | |||||||
\(390\) | 1.49530e8 | + | 1.08640e8i | 0.127645 | + | 0.0927394i | ||||
\(391\) | −1.91320e8 | − | 1.39002e8i | −0.161861 | − | 0.117599i | ||||
\(392\) | −6.07659e7 | + | 1.87018e8i | −0.0509517 | + | 0.156813i | ||||
\(393\) | 2.73722e8 | + | 8.42429e8i | 0.227476 | + | 0.700099i | ||||
\(394\) | −8.05483e8 | + | 5.85217e8i | −0.663467 | + | 0.482037i | ||||
\(395\) | 2.36589e7 | 0.0193154 | ||||||||
\(396\) | −4.00561e8 | − | 3.79923e8i | −0.324142 | − | 0.307442i | ||||
\(397\) | −1.18729e9 | −0.952340 | −0.476170 | − | 0.879353i | \(-0.657975\pi\) | ||||
−0.476170 | + | 0.879353i | \(0.657975\pi\) | |||||||
\(398\) | −1.39957e8 | + | 1.01685e8i | −0.111277 | + | 0.0808471i | ||||
\(399\) | 3.60299e8 | + | 1.10889e9i | 0.283960 | + | 0.873940i | ||||
\(400\) | −9.61287e7 | + | 2.95854e8i | −0.0751006 | + | 0.231136i | ||||
\(401\) | −3.57933e8 | − | 2.60054e8i | −0.277202 | − | 0.201399i | 0.440494 | − | 0.897756i | \(-0.354803\pi\) |
−0.717696 | + | 0.696356i | \(0.754803\pi\) | |||||||
\(402\) | −4.98881e8 | − | 3.62458e8i | −0.383006 | − | 0.278270i | ||||
\(403\) | 7.73870e8 | − | 2.38173e9i | 0.588980 | − | 1.81269i | ||||
\(404\) | −3.26527e8 | − | 1.00495e9i | −0.246368 | − | 0.758243i | ||||
\(405\) | 1.97767e8 | − | 1.43686e8i | 0.147932 | − | 0.107479i | ||||
\(406\) | −4.90171e8 | −0.363501 | ||||||||
\(407\) | 5.63215e7 | + | 3.03450e8i | 0.0414089 | + | 0.223104i | ||||
\(408\) | 5.15317e8 | 0.375633 | ||||||||
\(409\) | −1.69436e7 | + | 1.23103e7i | −0.0122454 | + | 0.00889684i | −0.593891 | − | 0.804545i | \(-0.702409\pi\) |
0.581646 | + | 0.813442i | \(0.302409\pi\) | |||||||
\(410\) | −3.22543e7 | − | 9.92685e7i | −0.0231123 | − | 0.0711325i | ||||
\(411\) | 8.06016e7 | − | 2.48066e8i | 0.0572661 | − | 0.176247i | ||||
\(412\) | 8.62248e8 | + | 6.26460e8i | 0.607424 | + | 0.441319i | ||||
\(413\) | 9.91276e8 | + | 7.20204e8i | 0.692420 | + | 0.503072i | ||||
\(414\) | −7.30426e7 | + | 2.24802e8i | −0.0505912 | + | 0.155704i | ||||
\(415\) | 1.17822e8 | + | 3.62617e8i | 0.0809201 | + | 0.249046i | ||||
\(416\) | −2.03942e8 | + | 1.48173e8i | −0.138893 | + | 0.100912i | ||||
\(417\) | −3.43533e9 | −2.32002 | ||||||||
\(418\) | 9.56980e8 | + | 1.25739e8i | 0.640893 | + | 0.0842082i | ||||
\(419\) | −2.00155e9 | −1.32928 | −0.664642 | − | 0.747162i | \(-0.731416\pi\) | ||||
−0.664642 | + | 0.747162i | \(0.731416\pi\) | |||||||
\(420\) | −1.03083e8 | + | 7.48943e7i | −0.0678915 | + | 0.0493260i | ||||
\(421\) | −7.98203e7 | − | 2.45662e8i | −0.0521346 | − | 0.160454i | 0.921599 | − | 0.388142i | \(-0.126883\pi\) |
−0.973734 | + | 0.227689i | \(0.926883\pi\) | |||||||
\(422\) | 5.18599e7 | − | 1.59608e8i | 0.0335922 | − | 0.103386i | ||||
\(423\) | 1.02163e9 | + | 7.42261e8i | 0.656303 | + | 0.476832i | ||||
\(424\) | −4.34951e8 | − | 3.16010e8i | −0.277115 | − | 0.201336i | ||||
\(425\) | 3.67062e8 | − | 1.12970e9i | 0.231942 | − | 0.713843i | ||||
\(426\) | 7.96452e8 | + | 2.45123e9i | 0.499144 | + | 1.53621i | ||||
\(427\) | −5.15167e8 | + | 3.74291e8i | −0.320221 | + | 0.232654i | ||||
\(428\) | −6.24346e8 | −0.384922 | ||||||||
\(429\) | −2.16678e9 | − | 2.84697e8i | −1.32499 | − | 0.174094i | ||||
\(430\) | −3.21622e8 | −0.195077 | ||||||||
\(431\) | −6.87037e8 | + | 4.99162e8i | −0.413342 | + | 0.300311i | −0.774954 | − | 0.632018i | \(-0.782227\pi\) |
0.361611 | + | 0.932329i | \(0.382227\pi\) | |||||||
\(432\) | 1.89701e7 | + | 5.83839e7i | 0.0113208 | + | 0.0348418i | ||||
\(433\) | −5.06723e8 | + | 1.55953e9i | −0.299960 | + | 0.923181i | 0.681551 | + | 0.731771i | \(0.261306\pi\) |
−0.981510 | + | 0.191410i | \(0.938694\pi\) | |||||||
\(434\) | 1.39670e9 | + | 1.01476e9i | 0.820139 | + | 0.595866i | ||||
\(435\) | 2.24559e8 | + | 1.63152e8i | 0.130803 | + | 0.0950339i | ||||
\(436\) | −1.79777e8 | + | 5.53295e8i | −0.103880 | + | 0.319709i | ||||
\(437\) | −1.27701e8 | − | 3.93023e8i | −0.0731997 | − | 0.225286i | ||||
\(438\) | −2.50515e9 | + | 1.82010e9i | −1.42454 | + | 1.03499i | ||||
\(439\) | 1.73535e9 | 0.978954 | 0.489477 | − | 0.872016i | \(-0.337188\pi\) | ||||
0.489477 | + | 0.872016i | \(0.337188\pi\) | |||||||
\(440\) | 1.92487e7 | + | 1.03709e8i | 0.0107725 | + | 0.0580404i | ||||
\(441\) | −7.50506e8 | −0.416696 | ||||||||
\(442\) | 7.78742e8 | − | 5.65789e8i | 0.428959 | − | 0.311657i | ||||
\(443\) | 1.05749e8 | + | 3.25463e8i | 0.0577916 | + | 0.177864i | 0.975785 | − | 0.218731i | \(-0.0701917\pi\) |
−0.917994 | + | 0.396595i | \(0.870192\pi\) | |||||||
\(444\) | −8.89790e7 | + | 2.73849e8i | −0.0482444 | + | 0.148481i | ||||
\(445\) | −2.29871e7 | − | 1.67011e7i | −0.0123659 | − | 0.00898433i | ||||
\(446\) | 2.12867e9 | + | 1.54657e9i | 1.13615 | + | 0.825461i | ||||
\(447\) | 8.72318e8 | − | 2.68472e9i | 0.461954 | − | 1.42175i | ||||
\(448\) | −5.37019e7 | − | 1.65277e8i | −0.0282174 | − | 0.0868442i | ||||
\(449\) | −2.05961e9 | + | 1.49640e9i | −1.07380 | + | 0.780161i | −0.976591 | − | 0.215103i | \(-0.930991\pi\) |
−0.0972080 | + | 0.995264i | \(0.530991\pi\) | |||||||
\(450\) | −1.18726e9 | −0.614192 | ||||||||
\(451\) | 8.95431e8 | + | 8.49297e8i | 0.459636 | + | 0.435955i | ||||
\(452\) | −8.30480e8 | −0.423004 | ||||||||
\(453\) | 3.96146e9 | − | 2.87817e9i | 2.00222 | − | 1.45470i | ||||
\(454\) | −5.40894e8 | − | 1.66470e9i | −0.271279 | − | 0.834912i | ||||
\(455\) | −7.35485e7 | + | 2.26359e8i | −0.0366045 | + | 0.112657i | ||||
\(456\) | 7.28519e8 | + | 5.29300e8i | 0.359802 | + | 0.261412i | ||||
\(457\) | −6.12009e8 | − | 4.44651e8i | −0.299952 | − | 0.217928i | 0.427621 | − | 0.903958i | \(-0.359352\pi\) |
−0.727573 | + | 0.686030i | \(0.759352\pi\) | |||||||
\(458\) | −2.62471e8 | + | 8.07804e8i | −0.127659 | + | 0.392895i | ||||
\(459\) | −7.24363e7 | − | 2.22936e8i | −0.0349632 | − | 0.107606i | ||||
\(460\) | 3.65358e7 | − | 2.65448e7i | 0.0175012 | − | 0.0127153i | ||||
\(461\) | −1.99223e9 | −0.947079 | −0.473539 | − | 0.880773i | \(-0.657024\pi\) | ||||
−0.473539 | + | 0.880773i | \(0.657024\pi\) | |||||||
\(462\) | 6.48247e8 | − | 1.35998e9i | 0.305840 | − | 0.641629i | ||||
\(463\) | 1.44558e9 | 0.676876 | 0.338438 | − | 0.940989i | \(-0.390101\pi\) | ||||
0.338438 | + | 0.940989i | \(0.390101\pi\) | |||||||
\(464\) | −3.06272e8 | + | 2.22520e8i | −0.142329 | + | 0.103408i | ||||
\(465\) | −3.02101e8 | − | 9.29770e8i | −0.139337 | − | 0.428835i | ||||
\(466\) | 7.42325e8 | − | 2.28464e9i | 0.339816 | − | 1.04585i | ||||
\(467\) | 8.65301e7 | + | 6.28678e7i | 0.0393150 | + | 0.0285640i | 0.607269 | − | 0.794496i | \(-0.292265\pi\) |
−0.567954 | + | 0.823060i | \(0.692265\pi\) | |||||||
\(468\) | −7.78366e8 | − | 5.65516e8i | −0.351013 | − | 0.255026i | ||||
\(469\) | 2.45381e8 | − | 7.55206e8i | 0.109834 | − | 0.338034i | ||||
\(470\) | −7.45569e7 | − | 2.29463e8i | −0.0331242 | − | 0.101946i | ||||
\(471\) | −2.45771e9 | + | 1.78563e9i | −1.08382 | + | 0.787441i | ||||
\(472\) | 9.46323e8 | 0.414231 | ||||||||
\(473\) | 3.34151e9 | − | 1.81540e9i | 1.45188 | − | 0.788786i | ||||
\(474\) | −2.60986e8 | −0.112562 | ||||||||
\(475\) | 1.67928e9 | − | 1.22007e9i | 0.718946 | − | 0.522345i | ||||
\(476\) | 2.05058e8 | + | 6.31103e8i | 0.0871469 | + | 0.268211i | ||||
\(477\) | 6.34077e8 | − | 1.95149e9i | 0.267502 | − | 0.823287i | ||||
\(478\) | −4.94022e8 | − | 3.58928e8i | −0.206894 | − | 0.150317i | ||||
\(479\) | 2.36540e9 | + | 1.71856e9i | 0.983400 | + | 0.714482i | 0.958466 | − | 0.285208i | \(-0.0920625\pi\) |
0.0249338 | + | 0.999689i | \(0.492063\pi\) | |||||||
\(480\) | −3.04099e7 | + | 9.35920e7i | −0.0125508 | + | 0.0386273i | ||||
\(481\) | 1.66207e8 | + | 5.11532e8i | 0.0680991 | + | 0.209587i | ||||
\(482\) | −3.29723e8 | + | 2.39558e8i | −0.134117 | + | 0.0974418i | ||||
\(483\) | −6.45033e8 | −0.260476 | ||||||||
\(484\) | −7.85372e8 | − | 9.68838e8i | −0.314859 | − | 0.388412i | ||||
\(485\) | −4.93313e8 | −0.196348 | ||||||||
\(486\) | −1.96947e9 | + | 1.43090e9i | −0.778257 | + | 0.565436i | ||||
\(487\) | 3.72249e8 | + | 1.14567e9i | 0.146044 | + | 0.449476i | 0.997144 | − | 0.0755274i | \(-0.0240640\pi\) |
−0.851100 | + | 0.525003i | \(0.824064\pi\) | |||||||
\(488\) | −1.51976e8 | + | 4.67734e8i | −0.0591978 | + | 0.182192i | ||||
\(489\) | 1.00615e9 | + | 7.31008e8i | 0.389117 | + | 0.282710i | ||||
\(490\) | 1.16006e8 | + | 8.42831e7i | 0.0445444 | + | 0.0323634i | ||||
\(491\) | 1.22772e8 | − | 3.77854e8i | 0.0468075 | − | 0.144059i | −0.924921 | − | 0.380159i | \(-0.875869\pi\) |
0.971729 | + | 0.236100i | \(0.0758693\pi\) | |||||||
\(492\) | 3.55804e8 | + | 1.09505e9i | 0.134689 | + | 0.414531i | ||||
\(493\) | 1.16948e9 | − | 8.49680e8i | 0.439572 | − | 0.319368i | ||||
\(494\) | 1.68207e9 | 0.627769 | ||||||||
\(495\) | −3.53740e8 | + | 1.92182e8i | −0.131089 | + | 0.0712189i | ||||
\(496\) | 1.33336e9 | 0.490637 | ||||||||
\(497\) | −2.68506e9 | + | 1.95081e9i | −0.981087 | + | 0.712801i | ||||
\(498\) | −1.29971e9 | − | 4.00011e9i | −0.471569 | − | 1.45134i | ||||
\(499\) | −6.44844e8 | + | 1.98463e9i | −0.232329 | + | 0.715034i | 0.765136 | + | 0.643869i | \(0.222672\pi\) |
−0.997465 | + | 0.0711652i | \(0.977328\pi\) | |||||||
\(500\) | 3.72294e8 | + | 2.70488e8i | 0.133196 | + | 0.0967726i | ||||
\(501\) | −1.27885e9 | − | 9.29136e8i | −0.454346 | − | 0.330101i | ||||
\(502\) | 8.94418e8 | − | 2.75274e9i | 0.315557 | − | 0.971184i | ||||
\(503\) | 7.35759e8 | + | 2.26443e9i | 0.257779 | + | 0.793363i | 0.993269 | + | 0.115827i | \(0.0369519\pi\) |
−0.735490 | + | 0.677535i | \(0.763048\pi\) | |||||||
\(504\) | 5.36589e8 | − | 3.89855e8i | 0.186696 | − | 0.135643i | ||||
\(505\) | −7.70516e8 | −0.266233 | ||||||||
\(506\) | −2.29759e8 | + | 4.82017e8i | −0.0788398 | + | 0.165400i | ||||
\(507\) | 2.29432e8 | 0.0781855 | ||||||||
\(508\) | −6.54969e7 | + | 4.75863e7i | −0.0221665 | + | 0.0161049i | ||||
\(509\) | 3.53191e7 | + | 1.08701e8i | 0.0118713 | + | 0.0365361i | 0.956817 | − | 0.290692i | \(-0.0938855\pi\) |
−0.944945 | + | 0.327228i | \(0.893885\pi\) | |||||||
\(510\) | 1.16119e8 | − | 3.57376e8i | 0.0387620 | − | 0.119297i | ||||
\(511\) | −3.22592e9 | − | 2.34377e9i | −1.06950 | − | 0.777036i | ||||
\(512\) | −1.08584e8 | − | 7.88912e7i | −0.0357538 | − | 0.0259767i | ||||
\(513\) | 1.26580e8 | − | 3.89573e8i | 0.0413956 | − | 0.127402i | ||||
\(514\) | 2.77399e8 | + | 8.53746e8i | 0.0901019 | + | 0.277305i | ||||
\(515\) | 6.28749e8 | − | 4.56813e8i | 0.202839 | − | 0.147371i | ||||
\(516\) | 3.54788e9 | 1.13683 | ||||||||
\(517\) | 2.06982e9 | + | 1.96318e9i | 0.658743 | + | 0.624803i | ||||
\(518\) | −3.70787e8 | −0.117212 | ||||||||
\(519\) | 8.37071e8 | − | 6.08167e8i | 0.262831 | − | 0.190958i | ||||
\(520\) | 5.68037e7 | + | 1.74824e8i | 0.0177160 | + | 0.0545241i | ||||
\(521\) | −1.01255e9 | + | 3.11630e9i | −0.313677 | + | 0.965399i | 0.662618 | + | 0.748957i | \(0.269445\pi\) |
−0.976295 | + | 0.216442i | \(0.930555\pi\) | |||||||
\(522\) | −1.16892e9 | − | 8.49269e8i | −0.359698 | − | 0.261336i | ||||
\(523\) | −6.78224e7 | − | 4.92759e7i | −0.0207309 | − | 0.0150618i | 0.577372 | − | 0.816482i | \(-0.304078\pi\) |
−0.598102 | + | 0.801420i | \(0.704078\pi\) | |||||||
\(524\) | −2.72227e8 | + | 8.37829e8i | −0.0826555 | + | 0.254387i | ||||
\(525\) | −1.00119e9 | − | 3.08136e9i | −0.301968 | − | 0.929362i | ||||
\(526\) | −2.91588e8 | + | 2.11851e8i | −0.0873615 | + | 0.0634718i | ||||
\(527\) | −5.09135e9 | −1.51529 | ||||||||
\(528\) | −2.12337e8 | − | 1.14403e9i | −0.0627778 | − | 0.338235i | ||||
\(529\) | −3.17621e9 | −0.932854 | ||||||||
\(530\) | −3.17165e8 | + | 2.30434e8i | −0.0925379 | + | 0.0672327i | ||||
\(531\) | 1.11609e9 | + | 3.43497e9i | 0.323495 | + | 0.995616i | ||||
\(532\) | −3.58332e8 | + | 1.10283e9i | −0.103180 | + | 0.317555i | ||||
\(533\) | 1.73999e9 | + | 1.26418e9i | 0.497739 | + | 0.361629i | ||||
\(534\) | 2.53576e8 | + | 1.84234e8i | 0.0720632 | + | 0.0523570i | ||||
\(535\) | −1.40687e8 | + | 4.32989e8i | −0.0397205 | + | 0.122247i | ||||
\(536\) | −1.89515e8 | − | 5.83268e8i | −0.0531578 | − | 0.163603i | ||||
\(537\) | 4.20402e9 | − | 3.05440e9i | 1.17153 | − | 0.851170i | ||||
\(538\) | 1.09383e9 | 0.302838 | ||||||||
\(539\) | −1.68099e9 | − | 2.20868e8i | −0.462385 | − | 0.0607537i | ||||
\(540\) | 4.47643e7 | 0.0122336 | ||||||||
\(541\) | −1.59805e9 | + | 1.16105e9i | −0.433910 | + | 0.315254i | −0.783211 | − | 0.621756i | \(-0.786419\pi\) |
0.349300 | + | 0.937011i | \(0.386419\pi\) | |||||||
\(542\) | 1.70697e8 | + | 5.25351e8i | 0.0460498 | + | 0.141727i | ||||
\(543\) | −1.22264e9 | + | 3.76291e9i | −0.327718 | + | 1.00861i | ||||
\(544\) | 4.14624e8 | + | 3.01242e8i | 0.110423 | + | 0.0802267i | ||||
\(545\) | 3.43205e8 | + | 2.49353e8i | 0.0908167 | + | 0.0659822i | ||||
\(546\) | 8.11329e8 | − | 2.49701e9i | 0.213316 | − | 0.656518i | ||||
\(547\) | −3.34030e6 | − | 1.02804e7i | −0.000872628 | − | 0.00268567i | 0.950619 | − | 0.310360i | \(-0.100449\pi\) |
−0.951492 | + | 0.307674i | \(0.900449\pi\) | |||||||
\(548\) | 2.09866e8 | − | 1.52476e8i | 0.0544765 | − | 0.0395795i | ||||
\(549\) | −1.87702e9 | −0.484135 | ||||||||
\(550\) | −2.65925e9 | − | 3.49403e8i | −0.681536 | − | 0.0895484i | ||||
\(551\) | 2.52607e9 | 0.643301 | ||||||||
\(552\) | −4.03035e8 | + | 2.92822e8i | −0.101990 | + | 0.0740997i | ||||
\(553\) | −1.03853e8 | − | 3.19627e8i | −0.0261145 | − | 0.0803722i | ||||
\(554\) | 4.17752e8 | − | 1.28571e9i | 0.104384 | − | 0.321261i | ||||
\(555\) | 1.69866e8 | + | 1.23415e8i | 0.0421776 | + | 0.0306438i | ||||
\(556\) | −2.76406e9 | − | 2.00821e9i | −0.682003 | − | 0.495504i | ||||
\(557\) | −2.42689e9 | + | 7.46921e9i | −0.595056 | + | 1.83139i | −0.0406062 | + | 0.999175i | \(0.512929\pi\) |
−0.554449 | + | 0.832217i | \(0.687071\pi\) | |||||||
\(558\) | 1.57255e9 | + | 4.83983e9i | 0.383165 | + | 1.17926i | ||||
\(559\) | 5.36152e9 | − | 3.89537e9i | 1.29821 | − | 0.943208i | ||||
\(560\) | −1.26722e8 | −0.0304926 | ||||||||
\(561\) | 8.10796e8 | + | 4.36842e9i | 0.193884 | + | 1.04461i | ||||
\(562\) | −3.94983e9 | −0.938645 | ||||||||
\(563\) | −1.19590e9 | + | 8.68870e8i | −0.282432 | + | 0.205199i | −0.719978 | − | 0.693997i | \(-0.755848\pi\) |
0.437545 | + | 0.899196i | \(0.355848\pi\) | |||||||
\(564\) | 8.22453e8 | + | 2.53125e9i | 0.193034 | + | 0.594098i | ||||
\(565\) | −1.87136e8 | + | 5.75944e8i | −0.0436503 | + | 0.134342i | ||||
\(566\) | −5.97919e8 | − | 4.34413e8i | −0.138607 | − | 0.100704i | ||||
\(567\) | −2.80929e9 | − | 2.04107e9i | −0.647227 | − | 0.470238i | ||||
\(568\) | −7.92104e8 | + | 2.43784e9i | −0.181369 | + | 0.558196i | ||||
\(569\) | −1.89632e9 | − | 5.83627e9i | −0.431537 | − | 1.32814i | −0.896594 | − | 0.442854i | \(-0.853966\pi\) |
0.465056 | − | 0.885281i | \(-0.346034\pi\) | |||||||
\(570\) | 5.31234e8 | − | 3.85964e8i | 0.120150 | − | 0.0872940i | ||||
\(571\) | 9.86349e8 | 0.221720 | 0.110860 | − | 0.993836i | \(-0.464640\pi\) | ||||
0.110860 | + | 0.993836i | \(0.464640\pi\) | |||||||
\(572\) | −1.57696e9 | − | 1.49571e9i | −0.352318 | − | 0.334166i | ||||
\(573\) | 9.16597e9 | 2.03534 | ||||||||
\(574\) | −1.19951e9 | + | 8.71498e8i | −0.264736 | + | 0.192342i | ||||
\(575\) | 3.54854e8 | + | 1.09213e9i | 0.0778417 | + | 0.239572i | ||||
\(576\) | 1.58296e8 | − | 4.87184e8i | 0.0345136 | − | 0.106222i | ||||
\(577\) | −1.43110e9 | − | 1.03976e9i | −0.310139 | − | 0.225329i | 0.421817 | − | 0.906681i | \(-0.361392\pi\) |
−0.731956 | + | 0.681352i | \(0.761392\pi\) | |||||||
\(578\) | 1.07255e9 | + | 7.79252e8i | 0.231031 | + | 0.167854i | ||||
\(579\) | −8.11317e8 | + | 2.49698e9i | −0.173706 | + | 0.534613i | ||||
\(580\) | 8.53055e7 | + | 2.62543e8i | 0.0181543 | + | 0.0558731i | ||||
\(581\) | 4.38170e9 | − | 3.18349e9i | 0.926886 | − | 0.673422i | ||||
\(582\) | 5.44184e9 | 1.14423 | ||||||||
\(583\) | 1.99452e9 | − | 4.18435e9i | 0.416868 | − | 0.874558i | ||||
\(584\) | −3.07963e9 | −0.639813 | ||||||||
\(585\) | −5.67582e8 | + | 4.12372e8i | −0.117215 | + | 0.0851616i | ||||
\(586\) | −3.96614e7 | − | 1.22065e8i | −0.00814191 | − | 0.0250582i | ||||
\(587\) | 2.11267e9 | − | 6.50214e9i | 0.431121 | − | 1.32685i | −0.465889 | − | 0.884843i | \(-0.654265\pi\) |
0.897010 | − | 0.442010i | \(-0.145735\pi\) | |||||||
\(588\) | −1.27968e9 | − | 9.29745e8i | −0.259587 | − | 0.188601i | ||||
\(589\) | −7.19780e9 | − | 5.22950e9i | −1.45143 | − | 1.05453i | ||||
\(590\) | 2.13239e8 | − | 6.56282e8i | 0.0427449 | − | 0.131555i | ||||
\(591\) | −2.47485e9 | − | 7.61680e9i | −0.493165 | − | 1.51781i | ||||
\(592\) | −2.31678e8 | + | 1.68324e8i | −0.0458943 | + | 0.0333442i | ||||
\(593\) | 3.33993e9 | 0.657727 | 0.328863 | − | 0.944378i | \(-0.393334\pi\) | ||||
0.328863 | + | 0.944378i | \(0.393334\pi\) | |||||||
\(594\) | −4.65082e8 | + | 2.52673e8i | −0.0910494 | + | 0.0494660i | ||||
\(595\) | 4.83881e8 | 0.0941737 | ||||||||
\(596\) | 2.27129e9 | − | 1.65019e9i | 0.439451 | − | 0.319280i | ||||
\(597\) | −4.30018e8 | − | 1.32346e9i | −0.0827136 | − | 0.254566i | ||||
\(598\) | −2.87560e8 | + | 8.85019e8i | −0.0549888 | + | 0.169238i | ||||
\(599\) | −6.75239e9 | − | 4.90590e9i | −1.28370 | − | 0.932663i | −0.284042 | − | 0.958812i | \(-0.591676\pi\) |
−0.999658 | + | 0.0261487i | \(0.991676\pi\) | |||||||
\(600\) | −2.02440e9 | − | 1.47081e9i | −0.382619 | − | 0.277989i | ||||
\(601\) | −1.81539e9 | + | 5.58718e9i | −0.341121 | + | 1.04986i | 0.622507 | + | 0.782614i | \(0.286114\pi\) |
−0.963628 | + | 0.267248i | \(0.913886\pi\) | |||||||
\(602\) | 1.41179e9 | + | 4.34505e9i | 0.263744 | + | 0.811721i | ||||
\(603\) | 1.89363e9 | − | 1.37581e9i | 0.351711 | − | 0.255533i | ||||
\(604\) | 4.86989e9 | 0.899270 | ||||||||
\(605\) | −8.48867e8 | + | 3.26349e8i | −0.155846 | + | 0.0599153i | ||||
\(606\) | 8.49972e9 | 1.55150 | ||||||||
\(607\) | 2.78491e9 | − | 2.02336e9i | 0.505419 | − | 0.367208i | −0.305664 | − | 0.952139i | \(-0.598878\pi\) |
0.811083 | + | 0.584931i | \(0.198878\pi\) | |||||||
\(608\) | 2.76750e8 | + | 8.51749e8i | 0.0499373 | + | 0.153691i | ||||
\(609\) | 1.21842e9 | − | 3.74992e9i | 0.218593 | − | 0.672761i | ||||
\(610\) | 2.90132e8 | + | 2.10793e8i | 0.0517536 | + | 0.0376012i | ||||
\(611\) | 4.02205e9 | + | 2.92219e9i | 0.713352 | + | 0.518280i | ||||
\(612\) | −6.04444e8 | + | 1.86029e9i | −0.106592 | + | 0.328057i | ||||
\(613\) | 3.00142e9 | + | 9.23742e9i | 0.526278 | + | 1.61972i | 0.761775 | + | 0.647842i | \(0.224328\pi\) |
−0.235497 | + | 0.971875i | \(0.575672\pi\) | |||||||
\(614\) | −3.15672e9 | + | 2.29349e9i | −0.550361 | + | 0.399860i | ||||
\(615\) | 8.39601e8 | 0.145549 | ||||||||
\(616\) | 1.31659e9 | − | 7.15286e8i | 0.226943 | − | 0.123295i | ||||
\(617\) | 1.03976e10 | 1.78212 | 0.891058 | − | 0.453890i | \(-0.149964\pi\) | ||||
0.891058 | + | 0.453890i | \(0.149964\pi\) | |||||||
\(618\) | −6.93586e9 | + | 5.03919e9i | −1.18206 | + | 0.858819i | ||||
\(619\) | −1.78748e9 | − | 5.50128e9i | −0.302916 | − | 0.932281i | −0.980447 | − | 0.196786i | \(-0.936950\pi\) |
0.677530 | − | 0.735495i | \(-0.263050\pi\) | |||||||
\(620\) | 3.00451e8 | − | 9.24693e8i | 0.0506294 | − | 0.155821i | ||||
\(621\) | 1.83333e8 | + | 1.33200e8i | 0.0307200 | + | 0.0223194i | ||||
\(622\) | 4.66523e9 | + | 3.38949e9i | 0.777333 | + | 0.564765i | ||||
\(623\) | −1.24725e8 | + | 3.83863e8i | −0.0206654 | + | 0.0636016i | ||||
\(624\) | −6.26613e8 | − | 1.92852e9i | −0.103241 | − | 0.317744i | ||||
\(625\) | −4.52872e9 | + | 3.29030e9i | −0.741985 | + | 0.539083i | ||||
\(626\) | 1.87764e9 | 0.305917 | ||||||||
\(627\) | −3.34071e9 | + | 7.00856e9i | −0.541255 | + | 1.13551i | ||||
\(628\) | −3.02131e9 | −0.486783 | ||||||||
\(629\) | 8.84650e8 | − | 6.42736e8i | 0.141741 | − | 0.102981i | ||||
\(630\) | −1.49455e8 | − | 4.59976e8i | −0.0238133 | − | 0.0732898i | ||||
\(631\) | 9.52598e8 | − | 2.93179e9i | 0.150941 | − | 0.464548i | −0.846786 | − | 0.531933i | \(-0.821466\pi\) |
0.997727 | + | 0.0673853i | \(0.0214657\pi\) | |||||||
\(632\) | −2.09989e8 | − | 1.52566e8i | −0.0330893 | − | 0.0240408i | ||||
\(633\) | 1.09213e9 | + | 7.93480e8i | 0.171144 | + | 0.124343i | ||||
\(634\) | −1.63641e9 | + | 5.03634e9i | −0.255023 | + | 0.784880i | ||||
\(635\) | 1.82428e7 | + | 5.61454e7i | 0.00282737 | + | 0.00870175i | ||||
\(636\) | 3.49871e9 | − | 2.54196e9i | 0.539272 | − | 0.391804i | ||||
\(637\) | −2.95465e9 | −0.452917 | ||||||||
\(638\) | −2.36822e9 | − | 2.24620e9i | −0.361035 | − | 0.342434i | ||||
\(639\) | −9.78310e9 | −1.48328 | ||||||||
\(640\) | −7.91794e7 | + | 5.75272e7i | −0.0119394 | + | 0.00867448i | ||||
\(641\) | 5.22764e8 | + | 1.60890e9i | 0.0783976 | + | 0.241283i | 0.982573 | − | 0.185879i | \(-0.0595133\pi\) |
−0.904175 | + | 0.427162i | \(0.859513\pi\) | |||||||
\(642\) | 1.55194e9 | − | 4.77639e9i | 0.231475 | − | 0.712405i | ||||
\(643\) | −1.30195e9 | − | 9.45925e8i | −0.193133 | − | 0.140320i | 0.487016 | − | 0.873393i | \(-0.338085\pi\) |
−0.680150 | + | 0.733073i | \(0.738085\pi\) | |||||||
\(644\) | −5.18993e8 | − | 3.77071e8i | −0.0765705 | − | 0.0556317i | ||||
\(645\) | 7.99458e8 | − | 2.46048e9i | 0.117310 | − | 0.361045i | ||||
\(646\) | −1.05675e9 | − | 3.25236e9i | −0.154227 | − | 0.474662i | ||||
\(647\) | 8.21735e8 | − | 5.97025e8i | 0.119280 | − | 0.0866618i | −0.526546 | − | 0.850147i | \(-0.676513\pi\) |
0.645826 | + | 0.763485i | \(0.276513\pi\) | |||||||
\(648\) | −2.68190e9 | −0.387195 | ||||||||
\(649\) | 1.48894e9 | + | 8.02212e9i | 0.213806 | + | 1.15195i | ||||
\(650\) | −4.67412e9 | −0.667580 | ||||||||
\(651\) | −1.12349e10 | + | 8.16264e9i | −1.59601 | + | 1.15957i | ||||
\(652\) | 3.82215e8 | + | 1.17634e9i | 0.0540059 | + | 0.166213i | ||||
\(653\) | −8.61861e8 | + | 2.65253e9i | −0.121127 | + | 0.372791i | −0.993176 | − | 0.116629i | \(-0.962791\pi\) |
0.872049 | + | 0.489419i | \(0.162791\pi\) | |||||||
\(654\) | −3.78596e9 | − | 2.75066e9i | −0.529242 | − | 0.384517i | ||||
\(655\) | 5.19698e8 | + | 3.77583e8i | 0.0722615 | + | 0.0525010i | ||||
\(656\) | −3.53861e8 | + | 1.08907e9i | −0.0489406 | + | 0.150624i | ||||
\(657\) | −3.63209e9 | − | 1.11784e10i | −0.499664 | − | 1.53781i | ||||
\(658\) | −2.77272e9 | + | 2.01450e9i | −0.379416 | + | 0.275662i | ||||
\(659\) | −1.67394e9 | −0.227846 | −0.113923 | − | 0.993490i | \(-0.536342\pi\) | ||||
−0.113923 | + | 0.993490i | \(0.536342\pi\) | |||||||
\(660\) | −8.41241e8 | − | 1.10532e8i | −0.113898 | − | 0.0149653i | ||||
\(661\) | 7.26540e9 | 0.978485 | 0.489243 | − | 0.872148i | \(-0.337273\pi\) | ||||
0.489243 | + | 0.872148i | \(0.337273\pi\) | |||||||
\(662\) | 9.06245e8 | − | 6.58426e8i | 0.121407 | − | 0.0882072i | ||||
\(663\) | 2.39269e9 | + | 7.36394e9i | 0.318852 | + | 0.981325i | ||||
\(664\) | 1.29262e9 | − | 3.97827e9i | 0.171349 | − | 0.527358i | ||||
\(665\) | 6.84077e8 | + | 4.97011e8i | 0.0902047 | + | 0.0655376i | ||||
\(666\) | −8.84223e8 | − | 6.42425e8i | −0.115985 | − | 0.0842681i | ||||
\(667\) | −4.31846e8 | + | 1.32909e9i | −0.0563493 | + | 0.173425i | ||||
\(668\) | −4.85809e8 | − | 1.49517e9i | −0.0630591 | − | 0.194076i | ||||
\(669\) | −1.71228e10 | + | 1.24405e10i | −2.21098 | + | 1.60637i | ||||
\(670\) | −4.47205e8 | −0.0574440 | ||||||||
\(671\) | −4.20417e9 | − | 5.52394e8i | −0.537219 | − | 0.0705862i | ||||
\(672\) | 1.39790e9 | 0.177698 | ||||||||
\(673\) | 7.61378e9 | − | 5.53174e9i | 0.962826 | − | 0.699534i | 0.00902030 | − | 0.999959i | \(-0.497129\pi\) |
0.953805 | + | 0.300426i | \(0.0971287\pi\) | |||||||
\(674\) | −2.76491e9 | − | 8.50952e9i | −0.347833 | − | 1.07052i | ||||
\(675\) | −3.51739e8 | + | 1.08254e9i | −0.0440207 | + | 0.135482i | ||||
\(676\) | 1.84601e8 | + | 1.34120e8i | 0.0229837 | + | 0.0166987i | ||||
\(677\) | 6.45850e9 | + | 4.69237e9i | 0.799965 | + | 0.581209i | 0.910904 | − | 0.412619i | \(-0.135386\pi\) |
−0.110939 | + | 0.993827i | \(0.535386\pi\) | |||||||
\(678\) | 2.06433e9 | − | 6.35336e9i | 0.254376 | − | 0.782888i | ||||
\(679\) | 2.16545e9 | + | 6.66456e9i | 0.265463 | + | 0.817010i | ||||
\(680\) | 3.02342e8 | − | 2.19665e8i | 0.0368738 | − | 0.0267904i | ||||
\(681\) | 1.40798e10 | 1.70837 | ||||||||
\(682\) | 2.09790e9 | + | 1.13031e10i | 0.253244 | + | 1.36443i | ||||
\(683\) | −9.00646e9 | −1.08164 | −0.540819 | − | 0.841139i | \(-0.681886\pi\) | ||||
−0.540819 | + | 0.841139i | \(0.681886\pi\) | |||||||
\(684\) | −2.76528e9 | + | 2.00910e9i | −0.330402 | + | 0.240051i | ||||
\(685\) | −5.84535e7 | − | 1.79901e8i | −0.00694854 | − | 0.0213854i | ||||
\(686\) | 1.97909e9 | − | 6.09103e9i | 0.234063 | − | 0.720371i | ||||
\(687\) | −5.52745e9 | − | 4.01593e9i | −0.650394 | − | 0.472539i | ||||
\(688\) | 2.85462e9 | + | 2.07400e9i | 0.334186 | + | 0.242801i | ||||
\(689\) | 2.49629e9 | − | 7.68278e9i | 0.290755 | − | 0.894851i | ||||
\(690\) | 1.12257e8 | + | 3.45490e8i | 0.0130089 | + | 0.0400372i | ||||
\(691\) | 6.84117e9 | − | 4.97040e9i | 0.788783 | − | 0.573084i | −0.118819 | − | 0.992916i | \(-0.537911\pi\) |
0.907602 | + | 0.419832i | \(0.137911\pi\) | |||||||
\(692\) | 1.02903e9 | 0.118047 | ||||||||
\(693\) | 4.14912e9 | + | 3.93535e9i | 0.473576 | + | 0.449177i | ||||
\(694\) | 8.73090e9 | 0.991519 | ||||||||
\(695\) | −2.01555e9 | + | 1.46438e9i | −0.227744 | + | 0.165465i | ||||
\(696\) | −9.41022e8 | − | 2.89617e9i | −0.105796 | − | 0.325605i | ||||
\(697\) | 1.35120e9 | − | 4.15856e9i | 0.151149 | − | 0.465188i | ||||
\(698\) | 1.87049e9 | + | 1.35899e9i | 0.208191 | + | 0.151260i | ||||
\(699\) | 1.56328e10 | + | 1.13579e10i | 1.73128 | + | 1.25785i | ||||
\(700\) | 9.95728e8 | − | 3.06454e9i | 0.109723 | − | 0.337693i | ||||
\(701\) | −8.70304e8 | − | 2.67852e9i | −0.0954241 | − | 0.293685i | 0.891940 | − | 0.452154i | \(-0.149344\pi\) |
−0.987364 | + | 0.158469i | \(0.949344\pi\) | |||||||
\(702\) | −7.46232e8 | + | 5.42170e8i | −0.0814131 | + | 0.0591501i | ||||
\(703\) | 1.91083e9 | 0.207433 | ||||||||
\(704\) | 4.97927e8 | − | 1.04461e9i | 0.0537850 | − | 0.112837i | ||||
\(705\) | 1.94077e9 | 0.208599 | ||||||||
\(706\) | 7.92916e9 | − | 5.76087e9i | 0.848029 | − | 0.616129i | ||||
\(707\) | 3.38226e9 | + | 1.04095e10i | 0.359947 | + | 1.10780i | ||||
\(708\) | −2.35228e9 | + | 7.23959e9i | −0.249100 | + | 0.766650i | ||||
\(709\) | −1.26588e10 | − | 9.19717e9i | −1.33393 | − | 0.969154i | −0.999644 | − | 0.0266803i | \(-0.991506\pi\) |
−0.334282 | − | 0.942473i | \(-0.608494\pi\) | |||||||
\(710\) | 1.51217e9 | + | 1.09866e9i | 0.158562 | + | 0.115202i | ||||
\(711\) | 3.06125e8 | − | 9.42156e8i | 0.0319415 | − | 0.0983058i | ||||
\(712\) | 9.63285e7 | + | 2.96469e8i | 0.0100017 | + | 0.0307821i | ||||
\(713\) | 3.98200e9 | − | 2.89309e9i | 0.411422 | − | 0.298916i | ||||
\(714\) | −5.33780e9 | −0.548805 | ||||||||
\(715\) | −1.39263e9 | + | 7.56600e8i | −0.142484 | + | 0.0774096i | ||||
\(716\) | 5.16809e9 | 0.526180 | ||||||||
\(717\) | 3.97387e9 | − | 2.88719e9i | 0.402621 | − | 0.292522i | ||||
\(718\) | 4.59448e8 | + | 1.41403e9i | 0.0463234 | + | 0.142569i | ||||
\(719\) | 4.58017e9 | − | 1.40963e10i | 0.459548 | − | 1.41434i | −0.406164 | − | 0.913800i | \(-0.633134\pi\) |
0.865712 | − | 0.500542i | \(-0.166866\pi\) | |||||||
\(720\) | −3.02196e8 | − | 2.19558e8i | −0.0301735 | − | 0.0219223i | ||||
\(721\) | −8.93140e9 | − | 6.48904e9i | −0.887455 | − | 0.644774i | ||||
\(722\) | −3.63130e8 | + | 1.11760e9i | −0.0359072 | + | 0.110511i | ||||
\(723\) | −1.01307e9 | − | 3.11792e9i | −0.0996914 | − | 0.306818i | ||||
\(724\) | −3.18344e9 | + | 2.31291e9i | −0.311754 | + | 0.226503i | ||||
\(725\) | −7.01941e9 | −0.684097 | ||||||||
\(726\) | 9.36403e9 | − | 3.60002e9i | 0.908207 | − | 0.349162i | ||||
\(727\) | −1.44416e10 | −1.39394 | −0.696972 | − | 0.717099i | \(-0.745470\pi\) | ||||
−0.696972 | + | 0.717099i | \(0.745470\pi\) | |||||||
\(728\) | 2.11249e9 | − | 1.53481e9i | 0.202925 | − | 0.147433i | ||||
\(729\) | −2.51121e9 | − | 7.72872e9i | −0.240070 | − | 0.738858i | ||||
\(730\) | −6.93945e8 | + | 2.13574e9i | −0.0660230 | + | 0.203198i | ||||
\(731\) | −1.09002e10 | − | 7.91947e9i | −1.03211 | − | 0.749869i | ||||
\(732\) | −3.20050e9 | − | 2.32530e9i | −0.301599 | − | 0.219124i | ||||
\(733\) | −9.27457e8 | + | 2.85442e9i | −0.0869821 | + | 0.267703i | −0.985081 | − | 0.172090i | \(-0.944948\pi\) |
0.898099 | + | 0.439793i | \(0.144948\pi\) | |||||||
\(734\) | −4.39889e9 | − | 1.35384e10i | −0.410588 | − | 1.26366i | ||||
\(735\) | −9.33142e8 | + | 6.77967e8i | −0.0866846 | + | 0.0629800i | ||||
\(736\) | −4.95458e8 | −0.0458073 | ||||||||
\(737\) | 4.64627e9 | − | 2.52426e9i | 0.427531 | − | 0.232272i | ||||
\(738\) | −4.37046e9 | −0.400249 | ||||||||
\(739\) | 9.86637e9 | − | 7.16833e9i | 0.899294 | − | 0.653375i | −0.0389906 | − | 0.999240i | \(-0.512414\pi\) |
0.938285 | + | 0.345864i | \(0.112414\pi\) | |||||||
\(740\) | 6.45289e7 | + | 1.98600e8i | 0.00585387 | + | 0.0180164i | ||||
\(741\) | −4.18114e9 | + | 1.28682e10i | −0.377512 | + | 1.16186i | ||||
\(742\) | 4.50534e9 | + | 3.27332e9i | 0.404869 | + | 0.294154i | ||||
\(743\) | 1.62916e9 | + | 1.18365e9i | 0.145714 | + | 0.105868i | 0.658254 | − | 0.752796i | \(-0.271295\pi\) |
−0.512540 | + | 0.858664i | \(0.671295\pi\) | |||||||
\(744\) | −3.31434e9 | + | 1.02005e10i | −0.295047 | + | 0.908062i | ||||
\(745\) | −6.32618e8 | − | 1.94700e9i | −0.0560525 | − | 0.172512i | ||||
\(746\) | −8.87405e8 | + | 6.44737e8i | −0.0782593 | + | 0.0568587i | ||||
\(747\) | 1.59648e10 | 1.40134 | ||||||||
\(748\) | −1.90131e9 | + | 3.98880e9i | −0.166110 | + | 0.348487i | ||||
\(749\) | 6.46715e9 | 0.562376 | ||||||||
\(750\) | −2.99471e9 | + | 2.17578e9i | −0.259203 | + | 0.188322i | ||||
\(751\) | 1.31591e9 | + | 4.04996e9i | 0.113367 | + | 0.348908i | 0.991603 | − | 0.129320i | \(-0.0412794\pi\) |
−0.878236 | + | 0.478228i | \(0.841279\pi\) | |||||||
\(752\) | −8.17962e8 | + | 2.51743e9i | −0.0701408 | + | 0.215871i | ||||
\(753\) | 1.88358e10 | + | 1.36850e10i | 1.60769 | + | 1.16805i | ||||
\(754\) | −4.60190e9 | − | 3.34347e9i | −0.390964 | − | 0.284052i | ||||
\(755\) | 1.09735e9 | − | 3.37731e9i | 0.0927966 | − | 0.285599i | ||||
\(756\) | −1.96497e8 | − | 6.04757e8i | −0.0165398 | − | 0.0509043i | ||||
\(757\) | −8.84068e9 | + | 6.42313e9i | −0.740713 | + | 0.538160i | −0.892934 | − | 0.450187i | \(-0.851357\pi\) |
0.152221 | + | 0.988346i | \(0.451357\pi\) | |||||||
\(758\) | −1.55601e10 | −1.29769 | ||||||||
\(759\) | −3.11643e9 | − | 2.95586e9i | −0.258708 | − | 0.245379i | ||||
\(760\) | 6.53055e8 | 0.0539638 | ||||||||
\(761\) | −1.09107e10 | + | 7.92710e9i | −0.897443 | + | 0.652030i | −0.937808 | − | 0.347155i | \(-0.887148\pi\) |
0.0403650 | + | 0.999185i | \(0.487148\pi\) | |||||||
\(762\) | −2.01240e8 | − | 6.19352e8i | −0.0164767 | − | 0.0507102i | ||||
\(763\) | 1.86218e9 | − | 5.73119e9i | 0.151770 | − | 0.467099i | ||||
\(764\) | 7.37494e9 | + | 5.35821e9i | 0.598317 | + | 0.434703i | ||||
\(765\) | 1.15392e9 | + | 8.38372e8i | 0.0931882 | + | 0.0677052i | ||||
\(766\) | −4.07509e9 | + | 1.25418e10i | −0.327594 | + | 1.00823i | ||||
\(767\) | 4.39391e9 | + | 1.35231e10i | 0.351615 | + | 1.08216i | ||||
\(768\) | 8.73445e8 | − | 6.34595e8i | 0.0695779 | − | 0.0505513i | ||||
\(769\) | −6.51045e9 | −0.516261 | −0.258130 | − | 0.966110i | \(-0.583106\pi\) | ||||
−0.258130 | + | 0.966110i | \(0.583106\pi\) | |||||||
\(770\) | −1.99384e8 | − | 1.07424e9i | −0.0157388 | − | 0.0847978i | ||||
\(771\) | −7.22088e9 | −0.567414 | ||||||||
\(772\) | −2.11246e9 | + | 1.53479e9i | −0.165245 | + | 0.120057i | ||||
\(773\) | −3.23352e9 | − | 9.95177e9i | −0.251796 | − | 0.774947i | −0.994444 | − | 0.105266i | \(-0.966431\pi\) |
0.742649 | − | 0.669681i | \(-0.233569\pi\) | |||||||
\(774\) | −4.16150e9 | + | 1.28078e10i | −0.322594 | + | 0.992843i | ||||
\(775\) | 2.00012e10 | + | 1.45317e10i | 1.54347 | + | 1.12140i | ||||
\(776\) | 4.37850e9 | + | 3.18117e9i | 0.336364 | + | 0.244383i | ||||
\(777\) | 9.21669e8 | − | 2.83661e9i | 0.0704858 | − | 0.216933i | ||||
\(778\) | 1.45608e9 | + | 4.48137e9i | 0.110856 | + | 0.341179i | ||||
\(779\) | 6.18163e9 | − | 4.49122e9i | 0.468513 | − | 0.340395i | ||||
\(780\) | −1.47864e9 | −0.111566 | ||||||||
\(781\) | −2.19123e10 | − | 2.87909e9i | −1.64592 | − | 0.216261i | ||||
\(782\) | 1.89188e9 | 0.141472 | ||||||||
\(783\) | −1.12066e9 | + | 8.14209e8i | −0.0834273 | + | 0.0606135i | ||||
\(784\) | −4.86127e8 | − | 1.49614e9i | −0.0360283 | − | 0.110884i | ||||
\(785\) | −6.80803e8 | + | 2.09530e9i | −0.0502317 | + | 0.154597i | ||||
\(786\) | −5.73290e9 | − | 4.16520e9i | −0.421110 | − | 0.305954i | ||||
\(787\) | −8.23701e9 | − | 5.98454e9i | −0.602362 | − | 0.437642i | 0.244354 | − | 0.969686i | \(-0.421424\pi\) |
−0.846717 | + | 0.532044i | \(0.821424\pi\) | |||||||
\(788\) | 2.46134e9 | − | 7.57521e9i | 0.179196 | − | 0.551510i | ||||
\(789\) | −8.95906e8 | − | 2.75732e9i | −0.0649371 | − | 0.199856i | ||||
\(790\) | −1.53124e8 | + | 1.11251e8i | −0.0110496 | + | 0.00802802i | ||||
\(791\) | 8.60235e9 | 0.618015 | ||||||||
\(792\) | 4.37899e9 | + | 5.75364e8i | 0.313210 | + | 0.0411533i | ||||
\(793\) | −7.38962e9 | −0.526218 | ||||||||
\(794\) | 7.68433e9 | − | 5.58300e9i | 0.544797 | − | 0.395818i | ||||
\(795\) | −9.74491e8 | − | 2.99917e9i | −0.0687848 | − | 0.211698i | ||||
\(796\) | 4.27670e8 | − | 1.31623e9i | 0.0300548 | − | 0.0924990i | ||||
\(797\) | 5.32005e9 | + | 3.86525e9i | 0.372230 | + | 0.270441i | 0.758135 | − | 0.652097i | \(-0.226111\pi\) |
−0.385905 | + | 0.922539i | \(0.626111\pi\) | |||||||
\(798\) | −7.54620e9 | − | 5.48263e9i | −0.525676 | − | 0.381926i | ||||
\(799\) | 3.12334e9 | − | 9.61267e9i | 0.216624 | − | 0.666700i | ||||
\(800\) | −7.69030e8 | − | 2.36683e9i | −0.0531041 | − | 0.163438i | ||||
\(801\) | −9.62513e8 | + | 6.99307e8i | −0.0661748 | + | 0.0480788i | ||||
\(802\) | 3.53944e9 | 0.242284 | ||||||||
\(803\) | −4.84546e9 | − | 2.61065e10i | −0.330241 | − | 1.77928i | ||||
\(804\) | 4.93321e9 | 0.334760 | ||||||||
\(805\) | −3.78448e8 | + | 2.74959e8i | −0.0255694 | + | 0.0185773i | ||||
\(806\) | 6.19096e9 | + | 1.90538e10i | 0.416472 | + | 1.28177i | ||||
\(807\) | −2.71893e9 | + | 8.36801e9i | −0.182113 | + | 0.560486i | ||||
\(808\) | 6.83887e9 | + | 4.96873e9i | 0.456084 | + | 0.331364i | ||||
\(809\) | −1.94536e10 | − | 1.41339e10i | −1.29176 | − | 0.938515i | −0.291916 | − | 0.956444i | \(-0.594293\pi\) |
−0.999839 | + | 0.0179287i | \(0.994293\pi\) | |||||||
\(810\) | −6.04323e8 | + | 1.85992e9i | −0.0399550 | + | 0.122969i | ||||
\(811\) | 6.43379e9 | + | 1.98012e10i | 0.423539 | + | 1.30352i | 0.904386 | + | 0.426716i | \(0.140329\pi\) |
−0.480846 | + | 0.876805i | \(0.659671\pi\) | |||||||
\(812\) | 3.17245e9 | − | 2.30492e9i | 0.207945 | − | 0.151081i | ||||
\(813\) | −4.44335e9 | −0.289997 | ||||||||
\(814\) | −1.79143e9 | − | 1.69913e9i | −0.116416 | − | 0.110418i | ||||
\(815\) | 9.01925e8 | 0.0583605 | ||||||||
\(816\) | −3.33520e9 | + | 2.42317e9i | −0.214885 | + | 0.156123i | ||||
\(817\) | −7.27559e9 | − | 2.23920e10i | −0.466757 | − | 1.43653i | ||||
\(818\) | 5.17751e7 | − | 1.59347e8i | 0.00330738 | − | 0.0101791i | ||||
\(819\) | 8.06253e9 | + | 5.85777e9i | 0.512835 | + | 0.372596i | ||||
\(820\) | 6.75542e8 | + | 4.90810e8i | 0.0427862 | + | 0.0310860i | ||||
\(821\) | −5.74381e9 | + | 1.76776e10i | −0.362242 | + | 1.11487i | 0.589448 | + | 0.807806i | \(0.299345\pi\) |
−0.951690 | + | 0.307060i | \(0.900655\pi\) | |||||||
\(822\) | 6.44813e8 | + | 1.98453e9i | 0.0404932 | + | 0.124625i | ||||
\(823\) | 1.49261e10 | − | 1.08444e10i | 0.933354 | − | 0.678121i | −0.0134580 | − | 0.999909i | \(-0.504284\pi\) |
0.946812 | + | 0.321788i | \(0.104284\pi\) | |||||||
\(824\) | −8.52638e9 | −0.530908 | ||||||||
\(825\) | 9.28312e9 | − | 1.94753e10i | 0.575580 | − | 1.20752i | ||||
\(826\) | −9.80228e9 | −0.605197 | ||||||||
\(827\) | −1.64272e10 | + | 1.19351e10i | −1.00994 | + | 0.733764i | −0.964196 | − | 0.265189i | \(-0.914566\pi\) |
−0.0457433 | + | 0.998953i | \(0.514566\pi\) | |||||||
\(828\) | −5.84340e8 | − | 1.79841e9i | −0.0357734 | − | 0.110099i | ||||
\(829\) | −4.00110e9 | + | 1.23141e10i | −0.243915 | + | 0.750692i | 0.751898 | + | 0.659279i | \(0.229138\pi\) |
−0.995813 | + | 0.0914133i | \(0.970862\pi\) | |||||||
\(830\) | −2.46769e9 | − | 1.79288e9i | −0.149802 | − | 0.108837i | ||||
\(831\) | 8.79755e9 | + | 6.39180e9i | 0.531812 | + | 0.386384i | ||||
\(832\) | 6.23192e8 | − | 1.91799e9i | 0.0375137 | − | 0.115455i | ||||
\(833\) | 1.85625e9 | + | 5.71295e9i | 0.111270 | + | 0.342454i | ||||
\(834\) | 2.22339e10 | − | 1.61539e10i | 1.32720 | − | 0.964264i | ||||
\(835\) | −1.14638e9 | −0.0681436 | ||||||||
\(836\) | −6.78497e9 | + | 3.68619e9i | −0.401630 | + | 0.218200i | ||||
\(837\) | 4.87881e9 | 0.287591 | ||||||||
\(838\) | 1.29543e10 | − | 9.41186e9i | 0.760432 | − | 0.552486i | ||||
\(839\) | 8.96664e9 | + | 2.75965e10i | 0.524159 | + | 1.61319i | 0.765974 | + | 0.642872i | \(0.222257\pi\) |
−0.241815 | + | 0.970322i | \(0.577743\pi\) | |||||||
\(840\) | 3.14994e8 | − | 9.69452e8i | 0.0183369 | − | 0.0564350i | ||||
\(841\) | 7.04450e9 | + | 5.11813e9i | 0.408380 | + | 0.296705i | ||||
\(842\) | 1.67178e9 | + | 1.21462e9i | 0.0965131 | + | 0.0701209i | ||||
\(843\) | 9.81813e9 | − | 3.02171e10i | 0.564459 | − | 1.73723i | ||||
\(844\) | 4.14879e8 | + | 1.27687e9i | 0.0237533 | + | 0.0731050i | ||||
\(845\) | 1.34610e8 | − | 9.78002e7i | 0.00767504 | − | 0.00557624i | ||||
\(846\) | −1.01025e10 | −0.573629 | ||||||||
\(847\) | 8.13510e9 | + | 1.00355e10i | 0.460014 | + | 0.567475i | ||||
\(848\) | 4.30103e9 | 0.242207 | ||||||||
\(849\) | 4.80961e9 | − | 3.49439e9i | 0.269732 | − | 0.195972i | ||||
\(850\) | 2.93650e9 | + | 9.03762e9i | 0.164007 | + | 0.504763i | ||||
\(851\) | −3.26668e8 | + | 1.00538e9i | −0.0181699 | + | 0.0559213i | ||||
\(852\) | −1.66811e10 | − | 1.21195e10i | −0.924031 | − | 0.671348i | ||||
\(853\) | −1.47323e10 | − | 1.07036e10i | −0.812732 | − | 0.590485i | 0.101889 | − | 0.994796i | \(-0.467511\pi\) |
−0.914621 | + | 0.404311i | \(0.867511\pi\) | |||||||
\(854\) | 1.57421e9 | − | 4.84492e9i | 0.0864888 | − | 0.266185i | ||||
\(855\) | 7.70210e8 | + | 2.37046e9i | 0.0421432 | + | 0.129704i | ||||
\(856\) | 4.04085e9 | − | 2.93585e9i | 0.220199 | − | 0.159984i | ||||
\(857\) | 6.60403e8 | 0.0358407 | 0.0179203 | − | 0.999839i | \(-0.494295\pi\) | ||||
0.0179203 | + | 0.999839i | \(0.494295\pi\) | |||||||
\(858\) | 1.53624e10 | − | 8.34621e9i | 0.830336 | − | 0.451111i | ||||
\(859\) | −7.93116e9 | −0.426934 | −0.213467 | − | 0.976950i | \(-0.568476\pi\) | ||||
−0.213467 | + | 0.976950i | \(0.568476\pi\) | |||||||
\(860\) | 2.08158e9 | − | 1.51236e9i | 0.111596 | − | 0.0810792i | ||||
\(861\) | −3.68551e9 | − | 1.13428e10i | −0.196783 | − | 0.605635i | ||||
\(862\) | 2.09940e9 | − | 6.46129e9i | 0.111640 | − | 0.343592i | ||||
\(863\) | 1.28258e10 | + | 9.31847e9i | 0.679275 | + | 0.493522i | 0.873117 | − | 0.487510i | \(-0.162095\pi\) |
−0.193842 | + | 0.981033i | \(0.562095\pi\) | |||||||
\(864\) | −3.97315e8 | − | 2.88666e8i | −0.0209574 | − | 0.0152264i | ||||
\(865\) | 2.31875e8 | − | 7.13638e8i | 0.0121814 | − | 0.0374905i | ||||
\(866\) | −4.05378e9 | − | 1.24763e10i | −0.212104 | − | 0.652787i | ||||
\(867\) | −8.62750e9 | + | 6.26825e9i | −0.449592 | + | 0.326647i | ||||
\(868\) | −1.38113e10 | −0.716828 | ||||||||
\(869\) | 9.62931e8 | − | 2.02016e9i | 0.0497767 | − | 0.104428i | ||||
\(870\) | −2.22056e9 | −0.114326 | ||||||||
\(871\) | 7.45501e9 | − | 5.41638e9i | 0.382283 | − | 0.277745i | ||||
\(872\) | −1.43821e9 | − | 4.42636e9i | −0.0734540 | − | 0.226068i | ||||
\(873\) | −6.38303e9 | + | 1.96449e10i | −0.324696 | + | 0.999312i | ||||
\(874\) | 2.67461e9 | + | 1.94321e9i | 0.135509 | + | 0.0984534i | ||||
\(875\) | −3.85633e9 | − | 2.80178e9i | −0.194601 | − | 0.141386i | ||||
\(876\) | 7.65505e9 | − | 2.35598e10i | 0.384755 | − | 1.18415i | ||||
\(877\) | 5.00630e9 | + | 1.54078e10i | 0.250622 | + | 0.771334i | 0.994661 | + | 0.103198i | \(0.0329076\pi\) |
−0.744039 | + | 0.668136i | \(0.767092\pi\) | |||||||
\(878\) | −1.12315e10 | + | 8.16013e9i | −0.560022 | + | 0.406880i | ||||
\(879\) | 1.03241e9 | 0.0512734 | ||||||||
\(880\) | −6.12247e8 | − | 5.80703e8i | −0.0302857 | − | 0.0287253i | ||||
\(881\) | 3.01828e10 | 1.48711 | 0.743555 | − | 0.668675i | \(-0.233138\pi\) | ||||
0.743555 | + | 0.668675i | \(0.233138\pi\) | |||||||
\(882\) | 4.85738e9 | − | 3.52909e9i | 0.238376 | − | 0.173190i | ||||
\(883\) | −9.24712e7 | − | 2.84597e8i | −0.00452006 | − | 0.0139113i | 0.948771 | − | 0.315964i | \(-0.102328\pi\) |
−0.953291 | + | 0.302053i | \(0.902328\pi\) | |||||||
\(884\) | −2.37962e9 | + | 7.32373e9i | −0.115858 | + | 0.356574i | ||||
\(885\) | 4.49066e9 | + | 3.26265e9i | 0.217775 | + | 0.158223i | ||||
\(886\) | −2.21484e9 | − | 1.60918e9i | −0.106986 | − | 0.0777295i | ||||
\(887\) | −4.53943e8 | + | 1.39709e9i | −0.0218408 | + | 0.0672191i | −0.961383 | − | 0.275214i | \(-0.911251\pi\) |
0.939542 | + | 0.342434i | \(0.111251\pi\) | |||||||
\(888\) | −7.11832e8 | − | 2.19079e9i | −0.0341140 | − | 0.104992i | ||||
\(889\) | 6.78435e8 | − | 4.92912e8i | 0.0323856 | − | 0.0235295i | ||||
\(890\) | 2.27309e8 | 0.0108082 | ||||||||
\(891\) | −4.21968e9 | − | 2.27348e10i | −0.199851 | − | 1.07676i | ||||
\(892\) | −2.10494e10 | −0.993031 | ||||||||
\(893\) | 1.42891e10 | − | 1.03816e10i | 0.671465 | − | 0.487848i | ||||
\(894\) | 6.97855e9 | + | 2.14778e10i | 0.326651 | + | 1.00533i | ||||
\(895\) | 1.16455e9 | − | 3.58411e9i | 0.0542971 | − | 0.167109i | ||||
\(896\) | 1.12475e9 | + | 8.17177e8i | 0.0522369 | + | 0.0379523i | ||||
\(897\) | −6.05580e9 | − | 4.39980e9i | −0.280155 | − | 0.203544i | ||||
\(898\) | 6.29361e9 | − | 1.93697e10i | 0.290023 | − | 0.892600i | ||||
\(899\) | 9.29734e9 | + | 2.86143e10i | 0.426776 | + | 1.31348i | ||||
\(900\) | 7.68414e9 | − | 5.58285e9i | 0.351355 | − | 0.255275i | ||||
\(901\) | −1.64233e10 | −0.748036 | ||||||||
\(902\) | −9.78899e9 | − | 1.28619e9i | −0.444135 | − | 0.0583557i | ||||
\(903\) | −3.67499e10 | −1.66092 | ||||||||
\(904\) | 5.37498e9 | − | 3.90515e9i | 0.241984 | − | 0.175812i | ||||
\(905\) | 8.86680e8 | + | 2.72892e9i | 0.0397646 | + | 0.122383i | ||||
\(906\) | −1.21051e10 | + | 3.72558e10i | −0.540780 | + | 1.66435i | ||||
\(907\) | −9.25427e9 | − | 6.72362e9i | −0.411829 | − | 0.299211i | 0.362513 | − | 0.931979i | \(-0.381919\pi\) |
−0.774342 | + | 0.632768i | \(0.781919\pi\) | |||||||
\(908\) | 1.13286e10 | + | 8.23074e9i | 0.502201 | + | 0.364870i | ||||
\(909\) | −9.96979e9 | + | 3.06839e10i | −0.440263 | + | 1.35499i | ||||
\(910\) | −5.88388e8 | − | 1.81087e9i | −0.0258833 | − | 0.0796605i | ||||
\(911\) | −3.11857e10 | + | 2.26578e10i | −1.36660 | + | 0.992893i | −0.368607 | + | 0.929586i | \(0.620165\pi\) |
−0.997994 | + | 0.0633079i | \(0.979835\pi\) | |||||||
\(912\) | −7.20399e9 | −0.314479 | ||||||||
\(913\) | 3.57582e10 | + | 4.69833e9i | 1.55499 | + | 0.204313i | ||||
\(914\) | 6.05188e9 | 0.262167 | ||||||||
\(915\) | −2.33380e9 | + | 1.69560e9i | −0.100714 | + | 0.0731729i | ||||
\(916\) | −2.09977e9 | − | 6.46243e9i | −0.0902688 | − | 0.277819i | ||||
\(917\) | 2.81980e9 | − | 8.67846e9i | 0.120761 | − | 0.371664i | ||||
\(918\) | 1.51713e9 | + | 1.10226e9i | 0.0647250 | + | 0.0470255i | ||||
\(919\) | 2.83975e10 | + | 2.06320e10i | 1.20691 | + | 0.876873i | 0.994947 | − | 0.100404i | \(-0.0320136\pi\) |
0.211965 | + | 0.977277i | \(0.432014\pi\) | |||||||
\(920\) | −1.11644e8 | + | 3.43604e8i | −0.00472690 | + | 0.0145479i | ||||
\(921\) | −9.69905e9 | − | 2.98506e10i | −0.409092 | − | 1.25905i | ||||
\(922\) | 1.28940e10 | − | 9.36803e9i | 0.541787 | − | 0.393631i | ||||
\(923\) | −3.85149e10 | −1.61221 | ||||||||
\(924\) | 2.19944e9 | + | 1.18502e10i | 0.0917193 | + | 0.494166i | ||||
\(925\) | −5.30980e9 | −0.220588 | ||||||||
\(926\) | −9.35600e9 | + | 6.79754e9i | −0.387215 | + | 0.281328i | ||||
\(927\) | −1.00560e10 | − | 3.09491e10i | −0.414615 | − | 1.27605i | ||||
\(928\) | 9.35884e8 | − | 2.88036e9i | 0.0384418 | − | 0.118312i | ||||
\(929\) | 1.59975e10 | + | 1.16229e10i | 0.654631 | + | 0.475617i | 0.864846 | − | 0.502038i | \(-0.167416\pi\) |
−0.210214 | + | 0.977655i | \(0.567416\pi\) | |||||||
\(930\) | 6.32728e9 | + | 4.59704e9i | 0.257945 | + | 0.187408i | ||||
\(931\) | −3.24373e9 | + | 9.98318e9i | −0.131741 | + | 0.405457i | ||||
\(932\) | 5.93860e9 | + | 1.82771e10i | 0.240286 | + | 0.739524i | ||||
\(933\) | −3.75268e10 | + | 2.72648e10i | −1.51271 | + | 1.09905i | ||||
\(934\) | −8.55657e8 | −0.0343626 | ||||||||
\(935\) | 2.33783e9 | + | 2.21738e9i | 0.0935347 | + | 0.0887156i | ||||
\(936\) | 7.69690e9 | 0.306797 | ||||||||
\(937\) | −2.11428e10 | + | 1.53612e10i | −0.839604 | + | 0.610008i | −0.922260 | − | 0.386570i | \(-0.873660\pi\) |
0.0826562 | + | 0.996578i | \(0.473660\pi\) | |||||||
\(938\) | 1.96305e9 | + | 6.04165e9i | 0.0776643 | + | 0.239026i | ||||
\(939\) | −4.66728e9 | + | 1.43644e10i | −0.183965 | + | 0.566185i | ||||
\(940\) | 1.56154e9 | + | 1.13453e9i | 0.0613205 | + | 0.0445520i | ||||
\(941\) | 3.58041e9 | + | 2.60132e9i | 0.140078 | + | 0.101772i | 0.655617 | − | 0.755093i | \(-0.272409\pi\) |
−0.515540 | + | 0.856866i | \(0.672409\pi\) | |||||||
\(942\) | 7.51008e9 | − | 2.31137e10i | 0.292730 | − | 0.900929i | ||||
\(943\) | 1.30626e9 | + | 4.02025e9i | 0.0507269 | + | 0.156121i | ||||
\(944\) | −6.12473e9 | + | 4.44988e9i | −0.236966 | + | 0.172166i | ||||
\(945\) | −4.63681e8 | −0.0178734 | ||||||||
\(946\) | −1.30902e10 | + | 2.74623e10i | −0.502721 | + | 1.05467i | ||||
\(947\) | 1.37318e10 | 0.525413 | 0.262707 | − | 0.964876i | \(-0.415385\pi\) | ||||
0.262707 | + | 0.964876i | \(0.415385\pi\) | |||||||
\(948\) | 1.68914e9 | − | 1.22723e9i | 0.0643926 | − | 0.0467840i | ||||
\(949\) | −1.42991e10 | − | 4.40082e10i | −0.543098 | − | 1.67148i | ||||
\(950\) | −5.13143e9 | + | 1.57929e10i | −0.194181 | + | 0.597626i | ||||
\(951\) | −3.44615e10 | − | 2.50378e10i | −1.29928 | − | 0.943982i | ||||
\(952\) | −4.29479e9 | − | 3.12035e9i | −0.161329 | − | 0.117212i | ||||
\(953\) | 7.51281e9 | − | 2.31221e10i | 0.281176 | − | 0.865369i | −0.706343 | − | 0.707869i | \(-0.749657\pi\) |
0.987519 | − | 0.157500i | \(-0.0503434\pi\) | |||||||
\(954\) | 5.07261e9 | + | 1.56119e10i | 0.189153 | + | 0.582152i | ||||
\(955\) | 5.37778e9 | − | 3.90719e9i | 0.199798 | − | 0.145162i | ||||
\(956\) | 4.88515e9 | 0.180832 | ||||||||
\(957\) | 2.30707e10 | − | 1.25340e10i | 0.850880 | − | 0.462272i | ||||
\(958\) | −2.33903e10 | −0.859523 | ||||||||
\(959\) | −2.17385e9 | + | 1.57939e9i | −0.0795909 | + | 0.0578262i | ||||
\(960\) | −2.43279e8 | − | 7.48736e8i | −0.00887474 | − | 0.0273136i | ||||
\(961\) | 2.42439e10 | − | 7.46152e10i | 0.881193 | − | 2.71203i | ||||
\(962\) | −3.48108e9 | − | 2.52915e9i | −0.126067 | − | 0.0915930i | ||||
\(963\) | 1.54223e10 | + | 1.12050e10i | 0.556491 | + | 0.404314i | ||||
\(964\) | 1.00754e9 | − | 3.10090e9i | 0.0362238 | − | 0.111485i | ||||
\(965\) | 5.88379e8 | + | 1.81085e9i | 0.0210771 | + | 0.0648688i | ||||
\(966\) | 4.17474e9 | − | 3.03313e9i | 0.149008 | − | 0.108261i | ||||
\(967\) | 3.87137e10 | 1.37680 | 0.688402 | − | 0.725329i | \(-0.258312\pi\) | ||||
0.688402 | + | 0.725329i | \(0.258312\pi\) | |||||||
\(968\) | 9.63878e9 | + | 2.57741e9i | 0.341553 | + | 0.0913314i | ||||
\(969\) | 2.75080e10 | 0.971240 | ||||||||
\(970\) | 3.19279e9 | − | 2.31970e9i | 0.112323 | − | 0.0816075i | ||||
\(971\) | −2.63837e9 | − | 8.12007e9i | −0.0924844 | − | 0.284638i | 0.894106 | − | 0.447856i | \(-0.147812\pi\) |
−0.986590 | + | 0.163219i | \(0.947812\pi\) | |||||||
\(972\) | 6.01817e9 | − | 1.85220e10i | 0.210200 | − | 0.646929i | ||||
\(973\) | 2.86309e10 | + | 2.08016e10i | 0.996416 | + | 0.723938i | ||||
\(974\) | −7.79649e9 | − | 5.66448e9i | −0.270360 | − | 0.196428i | ||||
\(975\) | 1.16185e10 | − | 3.57581e10i | 0.401453 | − | 1.23554i | ||||
\(976\) | −1.21581e9 | − | 3.74187e9i | −0.0418592 | − | 0.128829i | ||||
\(977\) | −7.59772e9 | + | 5.52007e9i | −0.260647 | + | 0.189371i | −0.710432 | − | 0.703766i | \(-0.751500\pi\) |
0.449785 | + | 0.893137i | \(0.351500\pi\) | |||||||
\(978\) | −9.94932e9 | −0.340101 | ||||||||
\(979\) | −2.36165e9 | + | 1.28305e9i | −0.0804406 | + | 0.0437024i | ||||
\(980\) | −1.14713e9 | −0.0389333 | ||||||||
\(981\) | 1.43706e10 | − | 1.04409e10i | 0.485997 | − | 0.353098i | ||||
\(982\) | 9.82179e8 | + | 3.02284e9i | 0.0330979 | + | 0.101865i | ||||
\(983\) | −4.22154e9 | + | 1.29926e10i | −0.141753 | + | 0.436272i | −0.996579 | − | 0.0826430i | \(-0.973664\pi\) |
0.854826 | + | 0.518915i | \(0.173664\pi\) | |||||||
\(984\) | −7.45205e9 | − | 5.41423e9i | −0.249341 | − | 0.181156i | ||||
\(985\) | −4.69884e9 | − | 3.41391e9i | −0.156662 | − | 0.113822i | ||||
\(986\) | −3.57362e9 | + | 1.09985e10i | −0.118724 | + | 0.365396i | ||||
\(987\) | −8.51920e9 | − | 2.62194e10i | −0.282026 | − | 0.867986i | ||||
\(988\) | −1.08866e10 | + | 7.90958e9i | −0.359123 | + | 0.260918i | ||||
\(989\) | 1.30253e10 | 0.428155 | ||||||||
\(990\) | 1.38576e9 | − | 2.90722e9i | 0.0453904 | − | 0.0952257i | ||||
\(991\) | −5.18430e8 | −0.0169213 | −0.00846063 | − | 0.999964i | \(-0.502693\pi\) | ||||
−0.00846063 | + | 0.999964i | \(0.502693\pi\) | |||||||
\(992\) | −8.62967e9 | + | 6.26982e9i | −0.280675 | + | 0.203922i | ||||
\(993\) | 2.78444e9 | + | 8.56964e9i | 0.0902435 | + | 0.277741i | ||||
\(994\) | 8.20483e9 | − | 2.52519e10i | 0.264982 | − | 0.815532i | ||||
\(995\) | −8.16449e8 | − | 5.93185e8i | −0.0262753 | − | 0.0190901i | ||||
\(996\) | 2.72216e10 | + | 1.97776e10i | 0.872982 | + | 0.634259i | ||||
\(997\) | −1.52878e10 | + | 4.70511e10i | −0.488555 | + | 1.50362i | 0.338211 | + | 0.941070i | \(0.390178\pi\) |
−0.826766 | + | 0.562546i | \(0.809822\pi\) | |||||||
\(998\) | −5.15875e9 | − | 1.58770e10i | −0.164281 | − | 0.505605i | ||||
\(999\) | −8.47719e8 | + | 6.15904e8i | −0.0269013 | + | 0.0195449i |
(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 | 22.8.c.a.3.1 | ✓ | 12 | |
11.2 | odd | 10 | 242.8.a.o.1.1 | 6 | |||
11.4 | even | 5 | inner | 22.8.c.a.15.1 | yes | 12 | |
11.9 | even | 5 | 242.8.a.q.1.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.8.c.a.3.1 | ✓ | 12 | 1.1 | even | 1 | trivial | |
22.8.c.a.15.1 | yes | 12 | 11.4 | even | 5 | inner | |
242.8.a.o.1.1 | 6 | 11.2 | odd | 10 | |||
242.8.a.q.1.1 | 6 | 11.9 | even | 5 |