Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [41,8,Mod(10,41)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(41, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("41.10");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 41 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 41.d (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: | \(12.8077860448\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 10.9 | ||
Character | \(\chi\) | \(=\) | 41.10 |
Dual form | 41.8.d.a.37.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.33427 | − | 4.60212i | −0.559876 | − | 0.406774i | 0.271538 | − | 0.962428i | \(-0.412468\pi\) |
−0.831413 | + | 0.555654i | \(0.812468\pi\) | |||||||
\(3\) | −19.9876 | −0.427402 | −0.213701 | − | 0.976899i | \(-0.568552\pi\) | ||||
−0.213701 | + | 0.976899i | \(0.568552\pi\) | |||||||
\(4\) | −20.6107 | − | 63.4331i | −0.161021 | − | 0.495571i | ||||
\(5\) | 50.0323 | + | 153.984i | 0.179001 | + | 0.550909i | 0.999794 | − | 0.0203179i | \(-0.00646783\pi\) |
−0.820793 | + | 0.571226i | \(0.806468\pi\) | |||||||
\(6\) | 126.607 | + | 91.9854i | 0.239292 | + | 0.173856i | ||||
\(7\) | −305.258 | + | 221.783i | −0.336375 | + | 0.244391i | −0.743131 | − | 0.669146i | \(-0.766660\pi\) |
0.406756 | + | 0.913537i | \(0.366660\pi\) | |||||||
\(8\) | −471.066 | + | 1449.79i | −0.325287 | + | 1.00113i | ||||
\(9\) | −1787.50 | −0.817327 | ||||||||
\(10\) | 391.732 | − | 1205.63i | 0.123877 | − | 0.381253i | ||||
\(11\) | 1038.12 | − | 3195.00i | 0.235165 | − | 0.723763i | −0.761935 | − | 0.647654i | \(-0.775750\pi\) |
0.997099 | − | 0.0761091i | \(-0.0242497\pi\) | |||||||
\(12\) | 411.958 | + | 1267.88i | 0.0688207 | + | 0.211808i | ||||
\(13\) | 8408.97 | + | 6109.48i | 1.06155 | + | 0.771263i | 0.974375 | − | 0.224930i | \(-0.0722154\pi\) |
0.0871771 | + | 0.996193i | \(0.472215\pi\) | |||||||
\(14\) | 2954.26 | 0.287740 | ||||||||
\(15\) | −1000.03 | − | 3077.77i | −0.0765054 | − | 0.235459i | ||||
\(16\) | 2749.17 | − | 1997.39i | 0.167796 | − | 0.121911i | ||||
\(17\) | 1701.90 | − | 5237.91i | 0.0840161 | − | 0.258575i | −0.900220 | − | 0.435436i | \(-0.856594\pi\) |
0.984236 | + | 0.176861i | \(0.0565943\pi\) | |||||||
\(18\) | 11322.5 | + | 8226.26i | 0.457602 | + | 0.332467i | ||||
\(19\) | 31028.6 | − | 22543.6i | 1.03783 | − | 0.754024i | 0.0679654 | − | 0.997688i | \(-0.478349\pi\) |
0.969860 | + | 0.243664i | \(0.0783492\pi\) | |||||||
\(20\) | 8736.46 | − | 6347.41i | 0.244192 | − | 0.177416i | ||||
\(21\) | 6101.38 | − | 4432.91i | 0.143767 | − | 0.104453i | ||||
\(22\) | −21279.5 | + | 15460.4i | −0.426071 | + | 0.309558i | ||||
\(23\) | 78632.7 | + | 57130.0i | 1.34758 | + | 0.979077i | 0.999128 | + | 0.0417511i | \(0.0132937\pi\) |
0.348455 | + | 0.937325i | \(0.386706\pi\) | |||||||
\(24\) | 9415.49 | − | 28977.9i | 0.139028 | − | 0.427885i | ||||
\(25\) | 41996.7 | − | 30512.4i | 0.537558 | − | 0.390559i | ||||
\(26\) | −25148.2 | − | 77398.2i | −0.280608 | − | 0.863622i | ||||
\(27\) | 79440.7 | 0.776730 | ||||||||
\(28\) | 20359.9 | + | 14792.4i | 0.175276 | + | 0.127346i | ||||
\(29\) | −77402.6 | − | 238221.i | −0.589335 | − | 1.81379i | −0.581115 | − | 0.813822i | \(-0.697383\pi\) |
−0.00822077 | − | 0.999966i | \(-0.502617\pi\) | |||||||
\(30\) | −7829.80 | + | 24097.6i | −0.0529452 | + | 0.162948i | ||||
\(31\) | −77740.2 | + | 239260.i | −0.468684 | + | 1.44246i | 0.385606 | + | 0.922664i | \(0.373992\pi\) |
−0.854290 | + | 0.519797i | \(0.826008\pi\) | |||||||
\(32\) | 168517. | 0.909116 | ||||||||
\(33\) | −20749.5 | + | 63860.4i | −0.100510 | + | 0.309338i | ||||
\(34\) | −34885.8 | + | 25346.0i | −0.152220 | + | 0.110594i | ||||
\(35\) | −49423.7 | − | 35908.4i | −0.194848 | − | 0.141566i | ||||
\(36\) | 36841.5 | + | 113386.i | 0.131607 | + | 0.405044i | ||||
\(37\) | 57752.3 | + | 177743.i | 0.187440 | + | 0.576882i | 0.999982 | − | 0.00602126i | \(-0.00191664\pi\) |
−0.812542 | + | 0.582903i | \(0.801917\pi\) | |||||||
\(38\) | −300292. | −0.887770 | ||||||||
\(39\) | −168075. | − | 122114.i | −0.453710 | − | 0.329639i | ||||
\(40\) | −246813. | −0.609758 | ||||||||
\(41\) | 40627.6 | + | 439436.i | 0.0920614 | + | 0.995753i | ||||
\(42\) | −59048.5 | −0.122981 | ||||||||
\(43\) | −12504.6 | − | 9085.13i | −0.0239845 | − | 0.0174258i | 0.575728 | − | 0.817641i | \(-0.304719\pi\) |
−0.599713 | + | 0.800215i | \(0.704719\pi\) | |||||||
\(44\) | −224065. | −0.396543 | ||||||||
\(45\) | −89432.5 | − | 275245.i | −0.146302 | − | 0.450273i | ||||
\(46\) | −235162. | − | 723754.i | −0.356217 | − | 1.09632i | ||||
\(47\) | −105122. | − | 76375.8i | −0.147690 | − | 0.107303i | 0.511486 | − | 0.859291i | \(-0.329095\pi\) |
−0.659177 | + | 0.751988i | \(0.729095\pi\) | |||||||
\(48\) | −54949.3 | + | 39923.0i | −0.0717163 | + | 0.0521049i | ||||
\(49\) | −210494. | + | 647834.i | −0.255596 | + | 0.786643i | ||||
\(50\) | −406440. | −0.459835 | ||||||||
\(51\) | −34016.9 | + | 104693.i | −0.0359087 | + | 0.110516i | ||||
\(52\) | 214229. | − | 659328.i | 0.211284 | − | 0.650264i | ||||
\(53\) | 95674.2 | + | 294455.i | 0.0882733 | + | 0.271677i | 0.985442 | − | 0.170010i | \(-0.0543800\pi\) |
−0.897169 | + | 0.441687i | \(0.854380\pi\) | |||||||
\(54\) | −503199. | − | 365595.i | −0.434872 | − | 0.315953i | ||||
\(55\) | 543917. | 0.440822 | ||||||||
\(56\) | −177742. | − | 547035.i | −0.135249 | − | 0.416252i | ||||
\(57\) | −620187. | + | 450592.i | −0.443569 | + | 0.322272i | ||||
\(58\) | −606031. | + | 1.86517e6i | −0.407846 | + | 1.25522i | ||||
\(59\) | 841977. | + | 611732.i | 0.533726 | + | 0.387774i | 0.821750 | − | 0.569849i | \(-0.192998\pi\) |
−0.288024 | + | 0.957623i | \(0.592998\pi\) | |||||||
\(60\) | −174621. | + | 126870.i | −0.104368 | + | 0.0758278i | ||||
\(61\) | 2.64376e6 | − | 1.92080e6i | 1.49131 | − | 1.08350i | 0.517620 | − | 0.855611i | \(-0.326818\pi\) |
0.973687 | − | 0.227888i | \(-0.0731819\pi\) | |||||||
\(62\) | 1.59353e6 | − | 1.15777e6i | 0.849159 | − | 0.616950i | ||||
\(63\) | 545647. | − | 396436.i | 0.274928 | − | 0.199747i | ||||
\(64\) | −1.41933e6 | − | 1.03120e6i | −0.676788 | − | 0.491715i | ||||
\(65\) | −520039. | + | 1.60052e6i | −0.234876 | + | 0.722875i | ||||
\(66\) | 425326. | − | 309018.i | 0.182104 | − | 0.132306i | ||||
\(67\) | 706839. | + | 2.17543e6i | 0.287117 | + | 0.883655i | 0.985756 | + | 0.168181i | \(0.0537892\pi\) |
−0.698639 | + | 0.715474i | \(0.746211\pi\) | |||||||
\(68\) | −367334. | −0.141671 | ||||||||
\(69\) | −1.57168e6 | − | 1.14189e6i | −0.575960 | − | 0.418459i | ||||
\(70\) | 147808. | + | 454907.i | 0.0515057 | + | 0.158518i | ||||
\(71\) | −686544. | + | 2.11297e6i | −0.227648 | + | 0.700629i | 0.770364 | + | 0.637605i | \(0.220075\pi\) |
−0.998012 | + | 0.0630245i | \(0.979925\pi\) | |||||||
\(72\) | 842028. | − | 2.59150e6i | 0.265866 | − | 0.818252i | ||||
\(73\) | 4.88243e6 | 1.46895 | 0.734474 | − | 0.678637i | \(-0.237429\pi\) | ||||
0.734474 | + | 0.678637i | \(0.237429\pi\) | |||||||
\(74\) | 452177. | − | 1.39166e6i | 0.129717 | − | 0.399228i | ||||
\(75\) | −839415. | + | 609870.i | −0.229754 | + | 0.166926i | ||||
\(76\) | −2.06953e6 | − | 1.50360e6i | −0.540784 | − | 0.392903i | ||||
\(77\) | 391702. | + | 1.20554e6i | 0.0977774 | + | 0.300928i | ||||
\(78\) | 502652. | + | 1.54701e6i | 0.119932 | + | 0.369114i | ||||
\(79\) | 3.23422e6 | 0.738032 | 0.369016 | − | 0.929423i | \(-0.379695\pi\) | ||||
0.369016 | + | 0.929423i | \(0.379695\pi\) | |||||||
\(80\) | 445112. | + | 323393.i | 0.0971973 | + | 0.0706180i | ||||
\(81\) | 2.32142e6 | 0.485352 | ||||||||
\(82\) | 1.76499e6 | − | 2.97048e6i | 0.353503 | − | 0.594946i | ||||
\(83\) | −7.02402e6 | −1.34838 | −0.674190 | − | 0.738558i | \(-0.735507\pi\) | ||||
−0.674190 | + | 0.738558i | \(0.735507\pi\) | |||||||
\(84\) | −406947. | − | 295664.i | −0.0749135 | − | 0.0544278i | ||||
\(85\) | 891702. | 0.157490 | ||||||||
\(86\) | 37396.7 | + | 115095.i | 0.00634000 | + | 0.0195125i | ||||
\(87\) | 1.54709e6 | + | 4.76146e6i | 0.251883 | + | 0.775217i | ||||
\(88\) | 4.14306e6 | + | 3.01011e6i | 0.648085 | + | 0.470862i | ||||
\(89\) | −1.43333e6 | + | 1.04137e6i | −0.215517 | + | 0.156582i | −0.690306 | − | 0.723517i | \(-0.742524\pi\) |
0.474790 | + | 0.880099i | \(0.342524\pi\) | |||||||
\(90\) | −700220. | + | 2.15505e6i | −0.101248 | + | 0.311609i | ||||
\(91\) | −3.92188e6 | −0.545569 | ||||||||
\(92\) | 2.00326e6 | − | 6.16540e6i | 0.268213 | − | 0.825475i | ||||
\(93\) | 1.55384e6 | − | 4.78224e6i | 0.200316 | − | 0.616511i | ||||
\(94\) | 314383. | + | 967570.i | 0.0390401 | + | 0.120153i | ||||
\(95\) | 5.02377e6 | + | 3.64998e6i | 0.601170 | + | 0.436776i | ||||
\(96\) | −3.36826e6 | −0.388558 | ||||||||
\(97\) | −4.82926e6 | − | 1.48629e7i | −0.537254 | − | 1.65350i | −0.738728 | − | 0.674004i | \(-0.764573\pi\) |
0.201473 | − | 0.979494i | \(-0.435427\pi\) | |||||||
\(98\) | 4.31473e6 | − | 3.13484e6i | 0.463087 | − | 0.336453i | ||||
\(99\) | −1.85563e6 | + | 5.71105e6i | −0.192207 | + | 0.591551i | ||||
\(100\) | −2.80108e6 | − | 2.03510e6i | −0.280108 | − | 0.203510i | ||||
\(101\) | −3.33457e6 | + | 2.42271e6i | −0.322044 | + | 0.233979i | −0.737047 | − | 0.675841i | \(-0.763780\pi\) |
0.415003 | + | 0.909820i | \(0.363780\pi\) | |||||||
\(102\) | 697283. | − | 506606.i | 0.0650592 | − | 0.0472683i | ||||
\(103\) | 1.00772e7 | − | 7.32149e6i | 0.908674 | − | 0.660190i | −0.0320051 | − | 0.999488i | \(-0.510189\pi\) |
0.940679 | + | 0.339297i | \(0.110189\pi\) | |||||||
\(104\) | −1.28187e7 | + | 9.31330e6i | −1.11744 | + | 0.811871i | ||||
\(105\) | 987861. | + | 717723.i | 0.0832786 | + | 0.0605055i | ||||
\(106\) | 749090. | − | 2.30546e6i | 0.0610890 | − | 0.188013i | ||||
\(107\) | −1.13371e7 | + | 8.23689e6i | −0.894663 | + | 0.650010i | −0.937090 | − | 0.349089i | \(-0.886491\pi\) |
0.0424270 | + | 0.999100i | \(0.486491\pi\) | |||||||
\(108\) | −1.63733e6 | − | 5.03917e6i | −0.125070 | − | 0.384925i | ||||
\(109\) | −3.05898e6 | −0.226248 | −0.113124 | − | 0.993581i | \(-0.536086\pi\) | ||||
−0.113124 | + | 0.993581i | \(0.536086\pi\) | |||||||
\(110\) | −3.44532e6 | − | 2.50317e6i | −0.246806 | − | 0.179315i | ||||
\(111\) | −1.15433e6 | − | 3.55266e6i | −0.0801124 | − | 0.246561i | ||||
\(112\) | −396219. | + | 1.21944e6i | −0.0266484 | + | 0.0820155i | ||||
\(113\) | −8.40655e6 | + | 2.58727e7i | −0.548079 | + | 1.68681i | 0.165476 | + | 0.986214i | \(0.447084\pi\) |
−0.713555 | + | 0.700600i | \(0.752916\pi\) | |||||||
\(114\) | 6.00211e6 | 0.379435 | ||||||||
\(115\) | −4.86291e6 | + | 1.49665e7i | −0.298163 | + | 0.917651i | ||||
\(116\) | −1.35158e7 | + | 9.81978e6i | −0.803966 | + | 0.584115i | ||||
\(117\) | −1.50310e7 | − | 1.09207e7i | −0.867636 | − | 0.630374i | ||||
\(118\) | −2.51805e6 | − | 7.74975e6i | −0.141084 | − | 0.434211i | ||||
\(119\) | 642160. | + | 1.97636e6i | 0.0349324 | + | 0.107511i | ||||
\(120\) | 4.93320e6 | 0.260612 | ||||||||
\(121\) | 6.63512e6 | + | 4.82070e6i | 0.340487 | + | 0.247378i | ||||
\(122\) | −2.55860e7 | −1.27569 | ||||||||
\(123\) | −812049. | − | 8.78327e6i | −0.0393473 | − | 0.425587i | ||||
\(124\) | 1.67793e7 | 0.790310 | ||||||||
\(125\) | 1.70329e7 | + | 1.23751e7i | 0.780016 | + | 0.566715i | ||||
\(126\) | −5.28072e6 | −0.235178 | ||||||||
\(127\) | −302206. | − | 930095.i | −0.0130915 | − | 0.0402916i | 0.944297 | − | 0.329093i | \(-0.106743\pi\) |
−0.957389 | + | 0.288802i | \(0.906743\pi\) | |||||||
\(128\) | −2.42087e6 | − | 7.45067e6i | −0.102032 | − | 0.314022i | ||||
\(129\) | 249937. | + | 181590.i | 0.0102510 | + | 0.00744780i | ||||
\(130\) | 1.06598e7 | − | 7.74482e6i | 0.425548 | − | 0.309179i | ||||
\(131\) | 1.07659e7 | − | 3.31341e7i | 0.418410 | − | 1.28773i | −0.490756 | − | 0.871297i | \(-0.663279\pi\) |
0.909165 | − | 0.416435i | \(-0.136721\pi\) | |||||||
\(132\) | 4.47853e6 | 0.169483 | ||||||||
\(133\) | −4.47194e6 | + | 1.37632e7i | −0.164822 | + | 0.507270i | ||||
\(134\) | 5.53426e6 | − | 1.70327e7i | 0.198698 | − | 0.611528i | ||||
\(135\) | 3.97460e6 | + | 1.22326e7i | 0.139035 | + | 0.427907i | ||||
\(136\) | 6.79217e6 | + | 4.93480e6i | 0.231538 | + | 0.168222i | ||||
\(137\) | 3.85002e7 | 1.27921 | 0.639604 | − | 0.768704i | \(-0.279098\pi\) | ||||
0.639604 | + | 0.768704i | \(0.279098\pi\) | |||||||
\(138\) | 4.70032e6 | + | 1.44661e7i | 0.152248 | + | 0.468571i | ||||
\(139\) | −7.42863e6 | + | 5.39722e6i | −0.234616 | + | 0.170458i | −0.698881 | − | 0.715238i | \(-0.746318\pi\) |
0.464265 | + | 0.885696i | \(0.346318\pi\) | |||||||
\(140\) | −1.25913e6 | + | 3.87519e6i | −0.0387812 | + | 0.119356i | ||||
\(141\) | 2.10114e6 | + | 1.52657e6i | 0.0631232 | + | 0.0458617i | ||||
\(142\) | 1.40729e7 | − | 1.02245e7i | 0.412452 | − | 0.299664i | ||||
\(143\) | 2.82493e7 | − | 2.05243e7i | 0.807851 | − | 0.586938i | ||||
\(144\) | −4.91412e6 | + | 3.57032e6i | −0.137144 | + | 0.0996410i | ||||
\(145\) | 3.28095e7 | − | 2.38375e7i | 0.893740 | − | 0.649340i | ||||
\(146\) | −3.09266e7 | − | 2.24695e7i | −0.822428 | − | 0.597529i | ||||
\(147\) | 4.20727e6 | − | 1.29487e7i | 0.109242 | − | 0.336213i | ||||
\(148\) | 1.00845e7 | − | 7.32681e6i | 0.255704 | − | 0.185780i | ||||
\(149\) | −5.71519e6 | − | 1.75895e7i | −0.141540 | − | 0.435615i | 0.855010 | − | 0.518612i | \(-0.173551\pi\) |
−0.996550 | + | 0.0829967i | \(0.973551\pi\) | |||||||
\(150\) | 8.12378e6 | 0.196534 | ||||||||
\(151\) | 3.57603e7 | + | 2.59813e7i | 0.845242 | + | 0.614105i | 0.923830 | − | 0.382803i | \(-0.125041\pi\) |
−0.0785877 | + | 0.996907i | \(0.525041\pi\) | |||||||
\(152\) | 1.80670e7 | + | 5.56045e7i | 0.417286 | + | 1.28427i | ||||
\(153\) | −3.04214e6 | + | 9.36273e6i | −0.0686687 | + | 0.211340i | ||||
\(154\) | 3.06687e6 | − | 9.43885e6i | 0.0676663 | − | 0.208255i | ||||
\(155\) | −4.07316e7 | −0.878559 | ||||||||
\(156\) | −4.28192e6 | + | 1.31784e7i | −0.0903030 | + | 0.277924i | ||||
\(157\) | 5.95402e7 | − | 4.32585e7i | 1.22790 | − | 0.892119i | 0.231166 | − | 0.972914i | \(-0.425746\pi\) |
0.996731 | + | 0.0807951i | \(0.0257459\pi\) | |||||||
\(158\) | −2.04864e7 | − | 1.48843e7i | −0.413206 | − | 0.300212i | ||||
\(159\) | −1.91230e6 | − | 5.88545e6i | −0.0377282 | − | 0.116115i | ||||
\(160\) | 8.43131e6 | + | 2.59489e7i | 0.162733 | + | 0.500840i | ||||
\(161\) | −3.66737e7 | −0.692570 | ||||||||
\(162\) | −1.47045e7 | − | 1.06835e7i | −0.271737 | − | 0.197428i | ||||
\(163\) | −2.49011e7 | −0.450362 | −0.225181 | − | 0.974317i | \(-0.572297\pi\) | ||||
−0.225181 | + | 0.974317i | \(0.572297\pi\) | |||||||
\(164\) | 2.70374e7 | − | 1.16342e7i | 0.478643 | − | 0.205960i | ||||
\(165\) | −1.08716e7 | −0.188408 | ||||||||
\(166\) | 4.44921e7 | + | 3.23254e7i | 0.754926 | + | 0.548486i | ||||
\(167\) | −8.06016e7 | −1.33917 | −0.669586 | − | 0.742735i | \(-0.733528\pi\) | ||||
−0.669586 | + | 0.742735i | \(0.733528\pi\) | |||||||
\(168\) | 3.55265e6 | + | 1.09339e7i | 0.0578055 | + | 0.177907i | ||||
\(169\) | 1.39948e7 | + | 4.30715e7i | 0.223029 | + | 0.686414i | ||||
\(170\) | −5.64828e6 | − | 4.10372e6i | −0.0881749 | − | 0.0640628i | ||||
\(171\) | −5.54634e7 | + | 4.02965e7i | −0.848243 | + | 0.616285i | ||||
\(172\) | −318570. | + | 980457.i | −0.00477370 | + | 0.0146919i | ||||
\(173\) | 1.20341e7 | 0.176706 | 0.0883532 | − | 0.996089i | \(-0.471840\pi\) | ||||
0.0883532 | + | 0.996089i | \(0.471840\pi\) | |||||||
\(174\) | 1.21131e7 | − | 3.72803e7i | 0.174314 | − | 0.536485i | ||||
\(175\) | −6.05270e6 | + | 1.86283e7i | −0.0853721 | + | 0.262748i | ||||
\(176\) | −3.52769e6 | − | 1.08571e7i | −0.0487748 | − | 0.150114i | ||||
\(177\) | −1.68291e7 | − | 1.22271e7i | −0.228116 | − | 0.165736i | ||||
\(178\) | 1.38716e7 | 0.184356 | ||||||||
\(179\) | −1.23853e7 | − | 3.81179e7i | −0.161406 | − | 0.496756i | 0.837348 | − | 0.546671i | \(-0.184105\pi\) |
−0.998753 | + | 0.0499145i | \(0.984105\pi\) | |||||||
\(180\) | −1.56164e7 | + | 1.13460e7i | −0.199584 | + | 0.145007i | ||||
\(181\) | 2.68549e7 | − | 8.26508e7i | 0.336626 | − | 1.03603i | −0.629289 | − | 0.777171i | \(-0.716654\pi\) |
0.965915 | − | 0.258858i | \(-0.0833462\pi\) | |||||||
\(182\) | 2.48423e7 | + | 1.80490e7i | 0.305451 | + | 0.221923i | ||||
\(183\) | −5.28424e7 | + | 3.83923e7i | −0.637388 | + | 0.463089i | ||||
\(184\) | −1.19868e8 | + | 8.70890e7i | −1.41854 | + | 1.03063i | ||||
\(185\) | −2.44801e7 | + | 1.77858e7i | −0.284257 | + | 0.206525i | ||||
\(186\) | −3.18509e7 | + | 2.31410e7i | −0.362933 | + | 0.263686i | ||||
\(187\) | −1.49683e7 | − | 1.08751e7i | −0.167389 | − | 0.121616i | ||||
\(188\) | −2.67811e6 | + | 8.24239e6i | −0.0293952 | + | 0.0904692i | ||||
\(189\) | −2.42499e7 | + | 1.76186e7i | −0.261272 | + | 0.189825i | ||||
\(190\) | −1.50243e7 | − | 4.62400e7i | −0.158912 | − | 0.489080i | ||||
\(191\) | 2.50893e7 | 0.260538 | 0.130269 | − | 0.991479i | \(-0.458416\pi\) | ||||
0.130269 | + | 0.991479i | \(0.458416\pi\) | |||||||
\(192\) | 2.83690e7 | + | 2.06113e7i | 0.289261 | + | 0.210160i | ||||
\(193\) | −2.38021e7 | − | 7.32554e7i | −0.238323 | − | 0.733481i | −0.996663 | − | 0.0816230i | \(-0.973990\pi\) |
0.758341 | − | 0.651858i | \(-0.226010\pi\) | |||||||
\(194\) | −3.78111e7 | + | 1.16371e8i | −0.371804 | + | 1.14429i | ||||
\(195\) | 1.03943e7 | − | 3.19905e7i | 0.100387 | − | 0.308958i | ||||
\(196\) | 4.54326e7 | 0.430994 | ||||||||
\(197\) | 2.47010e7 | − | 7.60217e7i | 0.230188 | − | 0.708445i | −0.767536 | − | 0.641006i | \(-0.778517\pi\) |
0.997723 | − | 0.0674386i | \(-0.0214827\pi\) | |||||||
\(198\) | 3.80370e7 | − | 2.76355e7i | 0.348239 | − | 0.253011i | ||||
\(199\) | −7.87975e6 | − | 5.72497e6i | −0.0708805 | − | 0.0514977i | 0.551781 | − | 0.833989i | \(-0.313949\pi\) |
−0.622661 | + | 0.782492i | \(0.713949\pi\) | |||||||
\(200\) | 2.44534e7 | + | 7.52599e7i | 0.216140 | + | 0.665210i | ||||
\(201\) | −1.41280e7 | − | 4.34816e7i | −0.122714 | − | 0.377676i | ||||
\(202\) | 3.22717e7 | 0.275481 | ||||||||
\(203\) | 7.64610e7 | + | 5.55522e7i | 0.641511 | + | 0.466085i | ||||
\(204\) | 7.34213e6 | 0.0605503 | ||||||||
\(205\) | −6.56332e7 | + | 2.82420e7i | −0.532090 | + | 0.228958i | ||||
\(206\) | −9.75259e7 | −0.777293 | ||||||||
\(207\) | −1.40556e8 | − | 1.02120e8i | −1.10142 | − | 0.800226i | ||||
\(208\) | 3.53207e7 | 0.272149 | ||||||||
\(209\) | −3.98154e7 | − | 1.22539e8i | −0.301675 | − | 0.928459i | ||||
\(210\) | −2.95434e6 | − | 9.09251e6i | −0.0220137 | − | 0.0677511i | ||||
\(211\) | 1.34097e8 | + | 9.74269e7i | 0.982719 | + | 0.713987i | 0.958315 | − | 0.285715i | \(-0.0922311\pi\) |
0.0244043 | + | 0.999702i | \(0.492231\pi\) | |||||||
\(212\) | 1.67063e7 | − | 1.21378e7i | 0.120422 | − | 0.0874914i | ||||
\(213\) | 1.37224e7 | − | 4.22332e7i | 0.0972973 | − | 0.299450i | ||||
\(214\) | 1.09720e8 | 0.765307 | ||||||||
\(215\) | 773327. | − | 2.38005e6i | 0.00530675 | − | 0.0163325i | ||||
\(216\) | −3.74218e7 | + | 1.15172e8i | −0.252660 | + | 0.777608i | ||||
\(217\) | −2.93329e7 | − | 9.02774e7i | −0.194870 | − | 0.599750i | ||||
\(218\) | 1.93764e7 | + | 1.40778e7i | 0.126671 | + | 0.0920315i | ||||
\(219\) | −9.75882e7 | −0.627831 | ||||||||
\(220\) | −1.12105e7 | − | 3.45023e7i | −0.0709815 | − | 0.218459i | ||||
\(221\) | 4.63121e7 | − | 3.36477e7i | 0.288617 | − | 0.209692i | ||||
\(222\) | −9.03793e6 | + | 2.78159e7i | −0.0554413 | + | 0.170631i | ||||
\(223\) | 1.52002e7 | + | 1.10436e7i | 0.0917874 | + | 0.0666875i | 0.632732 | − | 0.774370i | \(-0.281933\pi\) |
−0.540945 | + | 0.841058i | \(0.681933\pi\) | |||||||
\(224\) | −5.14412e7 | + | 3.73742e7i | −0.305804 | + | 0.222180i | ||||
\(225\) | −7.50690e7 | + | 5.45408e7i | −0.439361 | + | 0.319214i | ||||
\(226\) | 1.72319e8 | − | 1.25197e8i | 0.993007 | − | 0.721462i | ||||
\(227\) | −1.21053e7 | + | 8.79505e6i | −0.0686889 | + | 0.0499054i | −0.621600 | − | 0.783335i | \(-0.713517\pi\) |
0.552911 | + | 0.833240i | \(0.313517\pi\) | |||||||
\(228\) | 4.13650e7 | + | 3.00534e7i | 0.231132 | + | 0.167927i | ||||
\(229\) | −2.24510e7 | + | 6.90971e7i | −0.123541 | + | 0.380221i | −0.993632 | − | 0.112670i | \(-0.964060\pi\) |
0.870091 | + | 0.492891i | \(0.164060\pi\) | |||||||
\(230\) | 9.96805e7 | − | 7.24221e7i | 0.540210 | − | 0.392486i | ||||
\(231\) | −7.82919e6 | − | 2.40958e7i | −0.0417903 | − | 0.128617i | ||||
\(232\) | 3.81832e8 | 2.00754 | ||||||||
\(233\) | 1.45023e8 | + | 1.05365e8i | 0.751088 | + | 0.545697i | 0.896164 | − | 0.443723i | \(-0.146343\pi\) |
−0.145076 | + | 0.989420i | \(0.546343\pi\) | |||||||
\(234\) | 4.49523e7 | + | 1.38349e8i | 0.229349 | + | 0.705862i | ||||
\(235\) | 6.50111e6 | − | 2.00084e7i | 0.0326776 | − | 0.100571i | ||||
\(236\) | 2.14504e7 | − | 6.60174e7i | 0.106229 | − | 0.326939i | ||||
\(237\) | −6.46444e7 | −0.315436 | ||||||||
\(238\) | 5.02785e6 | − | 1.54741e7i | 0.0241748 | − | 0.0744023i | ||||
\(239\) | 6.63891e7 | − | 4.82345e7i | 0.314560 | − | 0.228542i | −0.419290 | − | 0.907852i | \(-0.637721\pi\) |
0.733851 | + | 0.679311i | \(0.237721\pi\) | |||||||
\(240\) | −8.89673e6 | − | 6.46385e6i | −0.0415423 | − | 0.0301823i | ||||
\(241\) | 5.90424e7 | + | 1.81714e8i | 0.271709 | + | 0.836235i | 0.990071 | + | 0.140566i | \(0.0448921\pi\) |
−0.718362 | + | 0.695669i | \(0.755108\pi\) | |||||||
\(242\) | −1.98432e7 | − | 6.10712e7i | −0.0900034 | − | 0.277002i | ||||
\(243\) | −2.20136e8 | −0.984170 | ||||||||
\(244\) | −1.76332e8 | − | 1.28113e8i | −0.777082 | − | 0.564583i | ||||
\(245\) | −1.10287e8 | −0.479120 | ||||||||
\(246\) | −3.52779e7 | + | 5.93728e7i | −0.151088 | + | 0.254281i | ||||
\(247\) | 3.98648e8 | 1.68326 | ||||||||
\(248\) | −3.10256e8 | − | 2.25414e8i | −1.29163 | − | 0.938428i | ||||
\(249\) | 1.40393e8 | 0.576301 | ||||||||
\(250\) | −5.09392e7 | − | 1.56775e8i | −0.206188 | − | 0.634580i | ||||
\(251\) | 6.54746e7 | + | 2.01510e8i | 0.261345 | + | 0.804338i | 0.992513 | + | 0.122140i | \(0.0389757\pi\) |
−0.731168 | + | 0.682198i | \(0.761024\pi\) | |||||||
\(252\) | −3.63933e7 | − | 2.64413e7i | −0.143258 | − | 0.104083i | ||||
\(253\) | 2.64160e8 | − | 1.91924e8i | 1.02552 | − | 0.745086i | ||||
\(254\) | −2.36615e6 | + | 7.28226e6i | −0.00905992 | + | 0.0278836i | ||||
\(255\) | −1.78230e7 | −0.0673116 | ||||||||
\(256\) | −8.83477e7 | + | 2.71906e8i | −0.329121 | + | 1.01293i | ||||
\(257\) | 6.15129e7 | − | 1.89317e8i | 0.226048 | − | 0.695703i | −0.772136 | − | 0.635457i | \(-0.780812\pi\) |
0.998184 | − | 0.0602458i | \(-0.0191885\pi\) | |||||||
\(258\) | −747472. | − | 2.30048e6i | −0.00270973 | − | 0.00833969i | ||||
\(259\) | −5.70497e7 | − | 4.14490e7i | −0.204035 | − | 0.148240i | ||||
\(260\) | 1.12244e8 | 0.396056 | ||||||||
\(261\) | 1.38357e8 | + | 4.25818e8i | 0.481680 | + | 1.48246i | ||||
\(262\) | −2.20681e8 | + | 1.60334e8i | −0.758073 | + | 0.550772i | ||||
\(263\) | −1.18237e8 | + | 3.63896e8i | −0.400782 | + | 1.23348i | 0.523584 | + | 0.851974i | \(0.324595\pi\) |
−0.924366 | + | 0.381506i | \(0.875405\pi\) | |||||||
\(264\) | −8.28100e7 | − | 6.01650e7i | −0.276993 | − | 0.201247i | ||||
\(265\) | −4.05544e7 | + | 2.94645e7i | −0.133868 | + | 0.0972610i | ||||
\(266\) | 9.16664e7 | − | 6.65995e7i | 0.298624 | − | 0.216963i | ||||
\(267\) | 2.86488e7 | − | 2.08146e7i | 0.0921122 | − | 0.0669235i | ||||
\(268\) | 1.23426e8 | − | 8.96740e7i | 0.391682 | − | 0.284574i | ||||
\(269\) | −2.69126e6 | − | 1.95531e6i | −0.00842990 | − | 0.00612468i | 0.583562 | − | 0.812068i | \(-0.301658\pi\) |
−0.591992 | + | 0.805944i | \(0.701658\pi\) | |||||||
\(270\) | 3.11195e7 | − | 9.57760e7i | 0.0962187 | − | 0.296131i | ||||
\(271\) | −2.28389e8 | + | 1.65934e8i | −0.697079 | + | 0.506458i | −0.878980 | − | 0.476859i | \(-0.841775\pi\) |
0.181901 | + | 0.983317i | \(0.441775\pi\) | |||||||
\(272\) | −5.78332e6 | − | 1.77992e7i | −0.0174255 | − | 0.0536303i | ||||
\(273\) | 7.83891e7 | 0.233177 | ||||||||
\(274\) | −2.43871e8 | − | 1.77183e8i | −0.716198 | − | 0.520348i | ||||
\(275\) | −5.38896e7 | − | 1.65855e8i | −0.156257 | − | 0.480910i | ||||
\(276\) | −4.00404e7 | + | 1.23232e8i | −0.114635 | + | 0.352810i | ||||
\(277\) | 8.39911e7 | − | 2.58498e8i | 0.237440 | − | 0.730766i | −0.759348 | − | 0.650685i | \(-0.774482\pi\) |
0.996788 | − | 0.0800812i | \(-0.0255180\pi\) | |||||||
\(278\) | 7.18936e7 | 0.200694 | ||||||||
\(279\) | 1.38960e8 | − | 4.27676e8i | 0.383068 | − | 1.17896i | ||||
\(280\) | 7.53415e7 | − | 5.47388e7i | 0.205107 | − | 0.149019i | ||||
\(281\) | −4.67955e8 | − | 3.39989e8i | −1.25815 | − | 0.914099i | −0.259483 | − | 0.965748i | \(-0.583552\pi\) |
−0.998665 | + | 0.0516490i | \(0.983552\pi\) | |||||||
\(282\) | −6.28376e6 | − | 1.93394e7i | −0.0166858 | − | 0.0513537i | ||||
\(283\) | 6.43043e7 | + | 1.97908e8i | 0.168651 | + | 0.519053i | 0.999287 | − | 0.0377625i | \(-0.0120230\pi\) |
−0.830636 | + | 0.556815i | \(0.812023\pi\) | |||||||
\(284\) | 1.48182e8 | 0.383868 | ||||||||
\(285\) | −1.00413e8 | − | 7.29545e7i | −0.256941 | − | 0.186679i | ||||
\(286\) | −2.73394e8 | −0.691047 | ||||||||
\(287\) | −1.09861e8 | − | 1.25131e8i | −0.274320 | − | 0.312448i | ||||
\(288\) | −3.01224e8 | −0.743046 | ||||||||
\(289\) | 3.07432e8 | + | 2.23362e8i | 0.749215 | + | 0.544336i | ||||
\(290\) | −3.17527e8 | −0.764517 | ||||||||
\(291\) | 9.65255e7 | + | 2.97075e8i | 0.229624 | + | 0.706709i | ||||
\(292\) | −1.00630e8 | − | 3.09708e8i | −0.236531 | − | 0.727968i | ||||
\(293\) | −2.93827e7 | − | 2.13478e7i | −0.0682426 | − | 0.0495812i | 0.553141 | − | 0.833088i | \(-0.313429\pi\) |
−0.621384 | + | 0.783507i | \(0.713429\pi\) | |||||||
\(294\) | −8.62413e7 | + | 6.26580e7i | −0.197924 | + | 0.143801i | ||||
\(295\) | −5.20707e7 | + | 1.60257e8i | −0.118091 | + | 0.363446i | ||||
\(296\) | −2.84896e8 | −0.638506 | ||||||||
\(297\) | 8.24688e7 | − | 2.53813e8i | 0.182659 | − | 0.562168i | ||||
\(298\) | −4.47476e7 | + | 1.37719e8i | −0.0979519 | + | 0.301465i | ||||
\(299\) | 3.12186e8 | + | 9.60809e8i | 0.675404 | + | 2.07868i | ||||
\(300\) | 5.59869e7 | + | 4.06769e7i | 0.119719 | + | 0.0869807i | ||||
\(301\) | 5.83205e6 | 0.0123265 | ||||||||
\(302\) | −1.06946e8 | − | 3.29146e8i | −0.223429 | − | 0.687645i | ||||
\(303\) | 6.66501e7 | − | 4.84241e7i | 0.137642 | − | 0.100003i | ||||
\(304\) | 4.02745e7 | − | 1.23952e8i | 0.0822190 | − | 0.253044i | ||||
\(305\) | 4.28045e8 | + | 3.10993e8i | 0.863854 | + | 0.627627i | ||||
\(306\) | 6.23581e7 | − | 4.53058e7i | 0.124414 | − | 0.0903918i | ||||
\(307\) | −4.30375e8 | + | 3.12686e8i | −0.848911 | + | 0.616770i | −0.924846 | − | 0.380343i | \(-0.875806\pi\) |
0.0759342 | + | 0.997113i | \(0.475806\pi\) | |||||||
\(308\) | 6.83976e7 | − | 4.96938e7i | 0.133387 | − | 0.0969113i | ||||
\(309\) | −2.01419e8 | + | 1.46339e8i | −0.388369 | + | 0.282167i | ||||
\(310\) | 2.58005e8 | + | 1.87452e8i | 0.491884 | + | 0.357374i | ||||
\(311\) | −1.75812e8 | + | 5.41094e8i | −0.331426 | + | 1.02003i | 0.637029 | + | 0.770840i | \(0.280163\pi\) |
−0.968456 | + | 0.249186i | \(0.919837\pi\) | |||||||
\(312\) | 2.56214e8 | − | 1.86151e8i | 0.477598 | − | 0.346995i | ||||
\(313\) | −5.49189e7 | − | 1.69023e8i | −0.101232 | − | 0.311559i | 0.887596 | − | 0.460623i | \(-0.152374\pi\) |
−0.988828 | + | 0.149064i | \(0.952374\pi\) | |||||||
\(314\) | −5.76225e8 | −1.05036 | ||||||||
\(315\) | 8.83446e7 | + | 6.41861e7i | 0.159255 | + | 0.115705i | ||||
\(316\) | −6.66595e7 | − | 2.05157e8i | −0.118839 | − | 0.365747i | ||||
\(317\) | 2.78122e7 | − | 8.55971e7i | 0.0490374 | − | 0.150922i | −0.923539 | − | 0.383504i | \(-0.874717\pi\) |
0.972577 | + | 0.232582i | \(0.0747174\pi\) | |||||||
\(318\) | −1.49725e7 | + | 4.60807e7i | −0.0261096 | + | 0.0803570i | ||||
\(319\) | −8.41468e8 | −1.45134 | ||||||||
\(320\) | 8.77759e7 | − | 2.70147e8i | 0.149744 | − | 0.460866i | ||||
\(321\) | 2.26602e8 | − | 1.64636e8i | 0.382381 | − | 0.277816i | ||||
\(322\) | 2.32301e8 | + | 1.68777e8i | 0.387753 | + | 0.281719i | ||||
\(323\) | −6.52737e7 | − | 2.00892e8i | −0.107778 | − | 0.331706i | ||||
\(324\) | −4.78460e7 | − | 1.47255e8i | −0.0781517 | − | 0.240526i | ||||
\(325\) | 5.39564e8 | 0.871869 | ||||||||
\(326\) | 1.57730e8 | + | 1.14598e8i | 0.252147 | + | 0.183195i | ||||
\(327\) | 6.11417e7 | 0.0966987 | ||||||||
\(328\) | −6.56229e8 | − | 1.48102e8i | −1.02683 | − | 0.231740i | ||||
\(329\) | 4.90282e7 | 0.0759033 | ||||||||
\(330\) | 6.88637e7 | + | 5.00324e7i | 0.105485 | + | 0.0766395i | ||||
\(331\) | −8.25530e8 | −1.25122 | −0.625612 | − | 0.780134i | \(-0.715151\pi\) | ||||
−0.625612 | + | 0.780134i | \(0.715151\pi\) | |||||||
\(332\) | 1.44770e8 | + | 4.45556e8i | 0.217117 | + | 0.668219i | ||||
\(333\) | −1.03232e8 | − | 3.17715e8i | −0.153200 | − | 0.471502i | ||||
\(334\) | 5.10553e8 | + | 3.70938e8i | 0.749770 | + | 0.544739i | ||||
\(335\) | −2.99615e8 | + | 2.17683e8i | −0.435419 | + | 0.316350i | ||||
\(336\) | 7.91947e6 | − | 2.43736e7i | 0.0113896 | − | 0.0350536i | ||||
\(337\) | 9.78588e8 | 1.39282 | 0.696411 | − | 0.717643i | \(-0.254779\pi\) | ||||
0.696411 | + | 0.717643i | \(0.254779\pi\) | |||||||
\(338\) | 1.09573e8 | − | 3.37232e8i | 0.154346 | − | 0.475029i | ||||
\(339\) | 1.68027e8 | − | 5.17133e8i | 0.234250 | − | 0.720948i | ||||
\(340\) | −1.83786e7 | − | 5.65634e7i | −0.0253592 | − | 0.0780476i | ||||
\(341\) | 6.83732e8 | + | 4.96760e8i | 0.933782 | + | 0.678432i | ||||
\(342\) | 5.36770e8 | 0.725599 | ||||||||
\(343\) | −1.75447e8 | − | 5.39971e8i | −0.234756 | − | 0.722505i | ||||
\(344\) | 1.90620e7 | − | 1.38494e7i | 0.0252473 | − | 0.0183432i | ||||
\(345\) | 9.71979e7 | − | 2.99144e8i | 0.127435 | − | 0.392206i | ||||
\(346\) | −7.62273e7 | − | 5.53823e7i | −0.0989336 | − | 0.0718795i | ||||
\(347\) | 7.49260e8 | − | 5.44369e8i | 0.962674 | − | 0.699424i | 0.00890402 | − | 0.999960i | \(-0.497166\pi\) |
0.953770 | + | 0.300537i | \(0.0971657\pi\) | |||||||
\(348\) | 2.70148e8 | − | 1.96274e8i | 0.343617 | − | 0.249652i | ||||
\(349\) | 5.34961e8 | − | 3.88672e8i | 0.673649 | − | 0.489434i | −0.197596 | − | 0.980284i | \(-0.563313\pi\) |
0.871245 | + | 0.490849i | \(0.163313\pi\) | |||||||
\(350\) | 1.24069e8 | − | 9.01415e7i | 0.154677 | − | 0.112379i | ||||
\(351\) | 6.68015e8 | + | 4.85341e8i | 0.824539 | + | 0.599063i | ||||
\(352\) | 1.74941e8 | − | 5.38412e8i | 0.213792 | − | 0.657985i | ||||
\(353\) | −8.03138e8 | + | 5.83514e8i | −0.971805 | + | 0.706057i | −0.955862 | − | 0.293816i | \(-0.905075\pi\) |
−0.0159424 | + | 0.999873i | \(0.505075\pi\) | |||||||
\(354\) | 5.03298e7 | + | 1.54899e8i | 0.0602995 | + | 0.185583i | ||||
\(355\) | −3.59711e8 | −0.426732 | ||||||||
\(356\) | 9.55994e7 | + | 6.94571e7i | 0.112300 | + | 0.0815908i | ||||
\(357\) | −1.28352e7 | − | 3.95028e7i | −0.0149302 | − | 0.0459504i | ||||
\(358\) | −9.69715e7 | + | 2.98448e8i | −0.111700 | + | 0.343777i | ||||
\(359\) | −1.03906e8 | + | 3.19790e8i | −0.118525 | + | 0.364783i | −0.992666 | − | 0.120890i | \(-0.961425\pi\) |
0.874141 | + | 0.485673i | \(0.161425\pi\) | |||||||
\(360\) | 4.41177e8 | 0.498372 | ||||||||
\(361\) | 1.78338e8 | − | 5.48868e8i | 0.199512 | − | 0.614034i | ||||
\(362\) | −5.50475e8 | + | 3.99943e8i | −0.609898 | + | 0.443117i | ||||
\(363\) | −1.32620e8 | − | 9.63543e7i | −0.145525 | − | 0.105730i | ||||
\(364\) | 8.08326e7 | + | 2.48777e8i | 0.0878480 | + | 0.270368i | ||||
\(365\) | 2.44279e8 | + | 7.51814e8i | 0.262943 | + | 0.809255i | ||||
\(366\) | 5.11404e8 | 0.545231 | ||||||||
\(367\) | −4.96806e7 | − | 3.60950e7i | −0.0524633 | − | 0.0381168i | 0.561245 | − | 0.827650i | \(-0.310323\pi\) |
−0.613708 | + | 0.789533i | \(0.710323\pi\) | |||||||
\(368\) | 3.30285e8 | 0.345479 | ||||||||
\(369\) | −7.26217e7 | − | 7.85489e8i | −0.0752443 | − | 0.813857i | ||||
\(370\) | 2.36916e8 | 0.243158 | ||||||||
\(371\) | −9.45103e7 | − | 6.86658e7i | −0.0960883 | − | 0.0698122i | ||||
\(372\) | −3.35378e8 | −0.337780 | ||||||||
\(373\) | 1.28684e8 | + | 3.96049e8i | 0.128394 | + | 0.395155i | 0.994504 | − | 0.104698i | \(-0.0333875\pi\) |
−0.866110 | + | 0.499853i | \(0.833387\pi\) | |||||||
\(374\) | 4.47649e7 | + | 1.37772e8i | 0.0442473 | + | 0.136179i | ||||
\(375\) | −3.40447e8 | − | 2.47349e8i | −0.333381 | − | 0.242215i | ||||
\(376\) | 1.60249e8 | − | 1.16427e8i | 0.155466 | − | 0.112953i | ||||
\(377\) | 8.04527e8 | − | 2.47608e9i | 0.773297 | − | 2.37996i | ||||
\(378\) | 2.34688e8 | 0.223496 | ||||||||
\(379\) | −5.80493e8 | + | 1.78657e9i | −0.547721 | + | 1.68571i | 0.166710 | + | 0.986006i | \(0.446686\pi\) |
−0.714431 | + | 0.699706i | \(0.753314\pi\) | |||||||
\(380\) | 1.27987e8 | − | 3.93902e8i | 0.119653 | − | 0.368253i | ||||
\(381\) | 6.04038e6 | + | 1.85904e7i | 0.00559535 | + | 0.0172207i | ||||
\(382\) | −1.58922e8 | − | 1.15464e8i | −0.145869 | − | 0.105980i | ||||
\(383\) | −9.44473e7 | −0.0859001 | −0.0429501 | − | 0.999077i | \(-0.513676\pi\) | ||||
−0.0429501 | + | 0.999077i | \(0.513676\pi\) | |||||||
\(384\) | 4.83874e7 | + | 1.48921e8i | 0.0436087 | + | 0.134214i | ||||
\(385\) | −1.66035e8 | + | 1.20631e8i | −0.148281 | + | 0.107733i | ||||
\(386\) | −1.86361e8 | + | 5.73560e8i | −0.164930 | + | 0.507602i | ||||
\(387\) | 2.23519e7 | + | 1.62396e7i | 0.0196032 | + | 0.0142425i | ||||
\(388\) | −8.43268e8 | + | 6.12670e8i | −0.732917 | + | 0.532495i | ||||
\(389\) | 1.12296e9 | − | 8.15879e8i | 0.967255 | − | 0.702752i | 0.0124305 | − | 0.999923i | \(-0.496043\pi\) |
0.954824 | + | 0.297171i | \(0.0960431\pi\) | |||||||
\(390\) | −2.13065e8 | + | 1.54800e8i | −0.181880 | + | 0.132144i | ||||
\(391\) | 4.33066e8 | − | 3.14641e8i | 0.366383 | − | 0.266193i | ||||
\(392\) | −8.40068e8 | − | 6.10345e8i | −0.704390 | − | 0.511769i | ||||
\(393\) | −2.15185e8 | + | 6.62272e8i | −0.178829 | + | 0.550380i | ||||
\(394\) | −5.06323e8 | + | 3.67866e8i | −0.417053 | + | 0.303007i | ||||
\(395\) | 1.61816e8 | + | 4.98017e8i | 0.132108 | + | 0.406588i | ||||
\(396\) | 4.00515e8 | 0.324105 | ||||||||
\(397\) | −5.59743e8 | − | 4.06677e8i | −0.448975 | − | 0.326199i | 0.340216 | − | 0.940347i | \(-0.389500\pi\) |
−0.789191 | + | 0.614148i | \(0.789500\pi\) | |||||||
\(398\) | 2.35655e7 | + | 7.25271e7i | 0.0187364 | + | 0.0576646i | ||||
\(399\) | 8.93834e7 | − | 2.75094e8i | 0.0704452 | − | 0.216808i | ||||
\(400\) | 5.45109e7 | − | 1.67767e8i | 0.0425867 | − | 0.131068i | ||||
\(401\) | −2.39804e9 | −1.85716 | −0.928582 | − | 0.371126i | \(-0.878972\pi\) | ||||
−0.928582 | + | 0.371126i | \(0.878972\pi\) | |||||||
\(402\) | −1.10617e8 | + | 3.40443e8i | −0.0849238 | + | 0.261369i | ||||
\(403\) | −2.11547e9 | + | 1.53698e9i | −1.61005 | + | 1.16977i | ||||
\(404\) | 2.22408e8 | + | 1.61589e8i | 0.167809 | + | 0.121920i | ||||
\(405\) | 1.16146e8 | + | 3.57461e8i | 0.0868784 | + | 0.267384i | ||||
\(406\) | −2.28667e8 | − | 7.03765e8i | −0.169575 | − | 0.521899i | ||||
\(407\) | 6.27843e8 | 0.461605 | ||||||||
\(408\) | −1.35759e8 | − | 9.86349e7i | −0.0989598 | − | 0.0718985i | ||||
\(409\) | −2.09251e9 | −1.51229 | −0.756145 | − | 0.654404i | \(-0.772920\pi\) | ||||
−0.756145 | + | 0.654404i | \(0.772920\pi\) | |||||||
\(410\) | 5.45711e8 | + | 1.23159e8i | 0.391038 | + | 0.0882519i | ||||
\(411\) | −7.69528e8 | −0.546737 | ||||||||
\(412\) | −6.72122e8 | − | 4.88325e8i | −0.473487 | − | 0.344008i | ||||
\(413\) | −3.92692e8 | −0.274300 | ||||||||
\(414\) | 4.20351e8 | + | 1.29371e9i | 0.291146 | + | 0.896054i | ||||
\(415\) | −3.51428e8 | − | 1.08158e9i | −0.241362 | − | 0.742834i | ||||
\(416\) | 1.41706e9 | + | 1.02955e9i | 0.965074 | + | 0.701167i | ||||
\(417\) | 1.48481e8 | − | 1.07878e8i | 0.100275 | − | 0.0728542i | ||||
\(418\) | −3.11738e8 | + | 9.59431e8i | −0.208772 | + | 0.642535i | ||||
\(419\) | −8.26758e8 | −0.549072 | −0.274536 | − | 0.961577i | \(-0.588524\pi\) | ||||
−0.274536 | + | 0.961577i | \(0.588524\pi\) | |||||||
\(420\) | 2.51669e7 | − | 7.74559e7i | 0.0165752 | − | 0.0510131i | ||||
\(421\) | 5.50167e8 | − | 1.69324e9i | 0.359341 | − | 1.10594i | −0.594108 | − | 0.804385i | \(-0.702495\pi\) |
0.953449 | − | 0.301553i | \(-0.0975051\pi\) | |||||||
\(422\) | −4.01034e8 | − | 1.23426e9i | −0.259769 | − | 0.799488i | ||||
\(423\) | 1.87906e8 | + | 1.36521e8i | 0.120711 | + | 0.0877020i | ||||
\(424\) | −4.71967e8 | −0.300699 | ||||||||
\(425\) | −8.83470e7 | − | 2.71904e8i | −0.0558252 | − | 0.171812i | ||||
\(426\) | −2.81283e8 | + | 2.04364e8i | −0.176283 | + | 0.128077i | ||||
\(427\) | −3.81027e8 | + | 1.17268e9i | −0.236842 | + | 0.728923i | ||||
\(428\) | 7.56157e8 | + | 5.49381e8i | 0.466186 | + | 0.338704i | ||||
\(429\) | −5.64636e8 | + | 4.10232e8i | −0.345277 | + | 0.250859i | ||||
\(430\) | −1.58518e7 | + | 1.15170e7i | −0.00961474 | + | 0.00698552i | ||||
\(431\) | −1.83500e9 | + | 1.33321e9i | −1.10399 | + | 0.802097i | −0.981707 | − | 0.190398i | \(-0.939022\pi\) |
−0.122285 | + | 0.992495i | \(0.539022\pi\) | |||||||
\(432\) | 2.18396e8 | − | 1.58674e8i | 0.130332 | − | 0.0946917i | ||||
\(433\) | 1.61245e9 | + | 1.17152e9i | 0.954508 | + | 0.693491i | 0.951869 | − | 0.306506i | \(-0.0991599\pi\) |
0.00263912 | + | 0.999997i | \(0.499160\pi\) | |||||||
\(434\) | −2.29665e8 | + | 7.06835e8i | −0.134859 | + | 0.415053i | ||||
\(435\) | −6.55783e8 | + | 4.76454e8i | −0.381986 | + | 0.277529i | ||||
\(436\) | 6.30476e7 | + | 1.94041e8i | 0.0364306 | + | 0.112122i | ||||
\(437\) | 3.72777e9 | 2.13680 | ||||||||
\(438\) | 6.18150e8 | + | 4.49112e8i | 0.351507 | + | 0.255385i | ||||
\(439\) | −7.32691e8 | − | 2.25499e9i | −0.413328 | − | 1.27209i | −0.913738 | − | 0.406305i | \(-0.866817\pi\) |
0.500409 | − | 0.865789i | \(-0.333183\pi\) | |||||||
\(440\) | −2.56221e8 | + | 7.88567e8i | −0.143394 | + | 0.441320i | ||||
\(441\) | 3.76257e8 | − | 1.15800e9i | 0.208905 | − | 0.642945i | ||||
\(442\) | −4.48204e8 | −0.246887 | ||||||||
\(443\) | 9.21511e8 | − | 2.83612e9i | 0.503602 | − | 1.54993i | −0.299506 | − | 0.954095i | \(-0.596822\pi\) |
0.803108 | − | 0.595834i | \(-0.203178\pi\) | |||||||
\(444\) | −2.01565e8 | + | 1.46446e8i | −0.109289 | + | 0.0794028i | ||||
\(445\) | −2.32067e8 | − | 1.68607e8i | −0.124840 | − | 0.0907016i | ||||
\(446\) | −4.54584e7 | − | 1.39907e8i | −0.0242629 | − | 0.0746734i | ||||
\(447\) | 1.14233e8 | + | 3.51573e8i | 0.0604944 | + | 0.186183i | ||||
\(448\) | 6.61964e8 | 0.347825 | ||||||||
\(449\) | −6.30240e8 | − | 4.57896e8i | −0.328582 | − | 0.238729i | 0.411247 | − | 0.911524i | \(-0.365093\pi\) |
−0.739829 | + | 0.672795i | \(0.765093\pi\) | |||||||
\(450\) | 7.26510e8 | 0.375836 | ||||||||
\(451\) | 1.44617e9 | + | 3.26381e8i | 0.742339 | + | 0.167536i | ||||
\(452\) | 1.81445e9 | 0.924188 | ||||||||
\(453\) | −7.14762e8 | − | 5.19305e8i | −0.361258 | − | 0.262470i | ||||
\(454\) | 1.17154e8 | 0.0587575 | ||||||||
\(455\) | −1.96221e8 | − | 6.03906e8i | −0.0976574 | − | 0.300559i | ||||
\(456\) | −3.61116e8 | − | 1.11140e9i | −0.178349 | − | 0.548901i | ||||
\(457\) | −3.33923e8 | − | 2.42609e8i | −0.163659 | − | 0.118905i | 0.502941 | − | 0.864320i | \(-0.332251\pi\) |
−0.666600 | + | 0.745415i | \(0.732251\pi\) | |||||||
\(458\) | 4.60204e8 | − | 3.34358e8i | 0.223831 | − | 0.162623i | ||||
\(459\) | 1.35200e8 | − | 4.16103e8i | 0.0652578 | − | 0.200843i | ||||
\(460\) | 1.04960e9 | 0.502772 | ||||||||
\(461\) | 4.89834e8 | − | 1.50755e9i | 0.232861 | − | 0.716671i | −0.764537 | − | 0.644579i | \(-0.777033\pi\) |
0.997398 | − | 0.0720917i | \(-0.0229674\pi\) | |||||||
\(462\) | −6.12994e7 | + | 1.88660e8i | −0.0289207 | + | 0.0890088i | ||||
\(463\) | 3.66305e8 | + | 1.12737e9i | 0.171518 | + | 0.527878i | 0.999457 | − | 0.0329398i | \(-0.0104870\pi\) |
−0.827939 | + | 0.560817i | \(0.810487\pi\) | |||||||
\(464\) | −6.88611e8 | − | 5.00305e8i | −0.320008 | − | 0.232500i | ||||
\(465\) | 8.14128e8 | 0.375498 | ||||||||
\(466\) | −4.33711e8 | − | 1.33482e9i | −0.198541 | − | 0.611045i | ||||
\(467\) | 1.29632e9 | − | 9.41834e8i | 0.588985 | − | 0.427922i | −0.252967 | − | 0.967475i | \(-0.581407\pi\) |
0.841952 | + | 0.539552i | \(0.181407\pi\) | |||||||
\(468\) | −3.82933e8 | + | 1.17855e9i | −0.172688 | + | 0.531479i | ||||
\(469\) | −6.98240e8 | − | 5.07301e8i | −0.312536 | − | 0.227071i | ||||
\(470\) | −1.33261e8 | + | 9.68195e7i | −0.0592051 | + | 0.0430150i | ||||
\(471\) | −1.19007e9 | + | 8.64635e8i | −0.524806 | + | 0.381294i | ||||
\(472\) | −1.28351e9 | + | 9.32525e8i | −0.561827 | + | 0.408191i | ||||
\(473\) | −4.20082e7 | + | 3.05208e7i | −0.0182524 | + | 0.0132612i | ||||
\(474\) | 4.09475e8 | + | 2.97501e8i | 0.176605 | + | 0.128311i | ||||
\(475\) | 6.15240e8 | − | 1.89351e9i | 0.263401 | − | 0.810664i | ||||
\(476\) | 1.12132e8 | − | 8.14684e7i | 0.0476545 | − | 0.0346230i | ||||
\(477\) | −1.71017e8 | − | 5.26337e8i | −0.0721482 | − | 0.222049i | ||||
\(478\) | −6.42507e8 | −0.269079 | ||||||||
\(479\) | 3.17727e9 | + | 2.30842e9i | 1.32093 | + | 0.959711i | 0.999920 | + | 0.0126346i | \(0.00402183\pi\) |
0.321009 | + | 0.947076i | \(0.395978\pi\) | |||||||
\(480\) | −1.68522e8 | − | 5.18657e8i | −0.0695523 | − | 0.214060i | ||||
\(481\) | −6.00281e8 | + | 1.84747e9i | −0.245950 | + | 0.756956i | ||||
\(482\) | 4.62278e8 | − | 1.42274e9i | 0.188035 | − | 0.578712i | ||||
\(483\) | 7.33020e8 | 0.296006 | ||||||||
\(484\) | 1.69038e8 | − | 5.20244e8i | 0.0677680 | − | 0.208568i | ||||
\(485\) | 2.04703e9 | − | 1.48725e9i | 0.814757 | − | 0.591956i | ||||
\(486\) | 1.39440e9 | + | 1.01309e9i | 0.551013 | + | 0.400334i | ||||
\(487\) | 8.35274e8 | + | 2.57071e9i | 0.327701 | + | 1.00856i | 0.970207 | + | 0.242279i | \(0.0778948\pi\) |
−0.642506 | + | 0.766281i | \(0.722105\pi\) | |||||||
\(488\) | 1.53938e9 | + | 4.73772e9i | 0.599620 | + | 1.84544i | ||||
\(489\) | 4.97714e8 | 0.192486 | ||||||||
\(490\) | 6.98590e8 | + | 5.07555e8i | 0.268248 | + | 0.194893i | ||||
\(491\) | 1.84319e9 | 0.702724 | 0.351362 | − | 0.936240i | \(-0.385719\pi\) | ||||
0.351362 | + | 0.936240i | \(0.385719\pi\) | |||||||
\(492\) | −5.40413e8 | + | 2.32540e8i | −0.204573 | + | 0.0880278i | ||||
\(493\) | −1.37951e9 | −0.518514 | ||||||||
\(494\) | −2.52514e9 | − | 1.83462e9i | −0.942414 | − | 0.684704i | ||||
\(495\) | −9.72249e8 | −0.360296 | ||||||||
\(496\) | 2.64174e8 | + | 8.13043e8i | 0.0972083 | + | 0.299176i | ||||
\(497\) | −2.59046e8 | − | 7.97263e8i | −0.0946521 | − | 0.291309i | ||||
\(498\) | −8.89290e8 | − | 6.46107e8i | −0.322657 | − | 0.234424i | ||||
\(499\) | −3.37230e9 | + | 2.45012e9i | −1.21499 | + | 0.882745i | −0.995675 | − | 0.0929079i | \(-0.970384\pi\) |
−0.219320 | + | 0.975653i | \(0.570384\pi\) | |||||||
\(500\) | 4.33934e8 | − | 1.33551e9i | 0.155249 | − | 0.477807i | ||||
\(501\) | 1.61103e9 | 0.572365 | ||||||||
\(502\) | 5.12639e8 | − | 1.57774e9i | 0.180863 | − | 0.556638i | ||||
\(503\) | −5.13654e8 | + | 1.58087e9i | −0.179963 | + | 0.553869i | −0.999825 | − | 0.0186917i | \(-0.994050\pi\) |
0.819862 | + | 0.572561i | \(0.194050\pi\) | |||||||
\(504\) | 3.17714e8 | + | 9.77822e8i | 0.110542 | + | 0.340215i | ||||
\(505\) | −5.39893e8 | − | 3.92256e8i | −0.186547 | − | 0.135534i | ||||
\(506\) | −2.55652e9 | −0.877247 | ||||||||
\(507\) | −2.79722e8 | − | 8.60896e8i | −0.0953233 | − | 0.293375i | ||||
\(508\) | −5.27702e7 | + | 3.83398e7i | −0.0178593 | + | 0.0129756i | ||||
\(509\) | 1.24590e8 | − | 3.83450e8i | 0.0418767 | − | 0.128883i | −0.927932 | − | 0.372748i | \(-0.878415\pi\) |
0.969809 | + | 0.243865i | \(0.0784154\pi\) | |||||||
\(510\) | 1.12896e8 | + | 8.20235e7i | 0.0376861 | + | 0.0273806i | ||||
\(511\) | −1.49040e9 | + | 1.08284e9i | −0.494117 | + | 0.358997i | ||||
\(512\) | 9.99709e8 | − | 7.26331e8i | 0.329176 | − | 0.239161i | ||||
\(513\) | 2.46493e9 | − | 1.79088e9i | 0.806110 | − | 0.585673i | ||||
\(514\) | −1.26090e9 | + | 9.16097e8i | −0.409552 | + | 0.297557i | ||||
\(515\) | 1.63157e9 | + | 1.18541e9i | 0.526358 | + | 0.382422i | ||||
\(516\) | 6.36745e6 | − | 1.95970e7i | 0.00204029 | − | 0.00627936i | ||||
\(517\) | −3.53150e8 | + | 2.56578e8i | −0.112394 | + | 0.0816588i | ||||
\(518\) | 1.70615e8 | + | 5.25099e8i | 0.0539341 | + | 0.165992i | ||||
\(519\) | −2.40533e8 | −0.0755247 | ||||||||
\(520\) | −2.07544e9 | − | 1.50790e9i | −0.647290 | − | 0.470284i | ||||
\(521\) | −2.59169e8 | − | 7.97641e8i | −0.0802881 | − | 0.247101i | 0.902853 | − | 0.429949i | \(-0.141468\pi\) |
−0.983141 | + | 0.182848i | \(0.941468\pi\) | |||||||
\(522\) | 1.08328e9 | − | 3.33398e9i | 0.333344 | − | 1.02593i | ||||
\(523\) | 1.29308e9 | − | 3.97969e9i | 0.395248 | − | 1.21645i | −0.533521 | − | 0.845787i | \(-0.679131\pi\) |
0.928769 | − | 0.370660i | \(-0.120869\pi\) | |||||||
\(524\) | −2.32369e9 | −0.705536 | ||||||||
\(525\) | 1.20979e8 | − | 3.72335e8i | 0.0364882 | − | 0.112299i | ||||
\(526\) | 2.42364e9 | − | 1.76088e9i | 0.726135 | − | 0.527568i | ||||
\(527\) | 1.12091e9 | + | 8.14392e8i | 0.333607 | + | 0.242380i | ||||
\(528\) | 7.05101e7 | + | 2.17008e8i | 0.0208465 | + | 0.0641588i | ||||
\(529\) | 1.86711e9 | + | 5.74638e9i | 0.548373 | + | 1.68772i | ||||
\(530\) | 3.92482e8 | 0.114513 | ||||||||
\(531\) | −1.50503e9 | − | 1.09347e9i | −0.436229 | − | 0.316939i | ||||
\(532\) | 9.65213e8 | 0.277928 | ||||||||
\(533\) | −2.34309e9 | + | 3.94342e9i | −0.670259 | + | 1.12805i | ||||
\(534\) | −2.77261e8 | −0.0787941 | ||||||||
\(535\) | −1.83557e9 | − | 1.33362e9i | −0.518242 | − | 0.376525i | ||||
\(536\) | −3.48688e9 | −0.978049 | ||||||||
\(537\) | 2.47552e8 | + | 7.61886e8i | 0.0689852 | + | 0.212315i | ||||
\(538\) | 8.04858e6 | + | 2.47710e7i | 0.00222834 | + | 0.00685812i | ||||
\(539\) | 1.85131e9 | + | 1.34506e9i | 0.509236 | + | 0.369981i | ||||
\(540\) | 6.94031e8 | − | 5.04243e8i | 0.189671 | − | 0.137804i | ||||
\(541\) | 3.60044e8 | − | 1.10810e9i | 0.0977610 | − | 0.300877i | −0.890202 | − | 0.455565i | \(-0.849437\pi\) |
0.987963 | + | 0.154688i | \(0.0494372\pi\) | |||||||
\(542\) | 2.21032e9 | 0.596291 | ||||||||
\(543\) | −5.36765e8 | + | 1.65199e9i | −0.143875 | + | 0.442801i | ||||
\(544\) | 2.86799e8 | − | 8.82678e8i | 0.0763804 | − | 0.235075i | ||||
\(545\) | −1.53048e8 | − | 4.71033e8i | −0.0404986 | − | 0.124642i | ||||
\(546\) | −4.96538e8 | − | 3.60756e8i | −0.130550 | − | 0.0948504i | ||||
\(547\) | 4.38082e9 | 1.14446 | 0.572228 | − | 0.820094i | \(-0.306079\pi\) | ||||
0.572228 | + | 0.820094i | \(0.306079\pi\) | |||||||
\(548\) | −7.93516e8 | − | 2.44219e9i | −0.205979 | − | 0.633939i | ||||
\(549\) | −4.72570e9 | + | 3.43342e9i | −1.21889 | + | 0.885573i | ||||
\(550\) | −4.21933e8 | + | 1.29858e9i | −0.108137 | + | 0.332811i | ||||
\(551\) | −7.77204e9 | − | 5.64672e9i | −1.97927 | − | 1.43802i | ||||
\(552\) | 2.39587e9 | − | 1.74070e9i | 0.606285 | − | 0.440492i | ||||
\(553\) | −9.87272e8 | + | 7.17295e8i | −0.248255 | + | 0.180368i | ||||
\(554\) | −1.72166e9 | + | 1.25086e9i | −0.430193 | + | 0.312554i | ||||
\(555\) | 4.89298e8 | − | 3.55496e8i | 0.121492 | − | 0.0882692i | ||||
\(556\) | 4.95471e8 | + | 3.59981e8i | 0.122252 | + | 0.0888214i | ||||
\(557\) | 1.43349e8 | − | 4.41182e8i | 0.0351480 | − | 0.108174i | −0.931943 | − | 0.362604i | \(-0.881888\pi\) |
0.967091 | + | 0.254430i | \(0.0818878\pi\) | |||||||
\(558\) | −2.84843e9 | + | 2.06950e9i | −0.694041 | + | 0.504251i | ||||
\(559\) | −4.96455e7 | − | 1.52793e8i | −0.0120209 | − | 0.0369967i | ||||
\(560\) | −2.07597e8 | −0.0499531 | ||||||||
\(561\) | 2.99181e8 | + | 2.17368e8i | 0.0715426 | + | 0.0519787i | ||||
\(562\) | 1.39948e9 | + | 4.30717e9i | 0.332576 | + | 1.02356i | ||||
\(563\) | −6.62968e7 | + | 2.04040e8i | −0.0156572 | + | 0.0481878i | −0.958580 | − | 0.284824i | \(-0.908065\pi\) |
0.942923 | + | 0.333012i | \(0.108065\pi\) | |||||||
\(564\) | 5.35291e7 | − | 1.64746e8i | 0.0125636 | − | 0.0386667i | ||||
\(565\) | −4.40457e9 | −1.02739 | ||||||||
\(566\) | 5.03477e8 | − | 1.54954e9i | 0.116714 | − | 0.359208i | ||||
\(567\) | −7.08632e8 | + | 5.14851e8i | −0.163260 | + | 0.118615i | ||||
\(568\) | −2.73995e9 | − | 1.99069e9i | −0.627370 | − | 0.455811i | ||||
\(569\) | −9.63119e8 | − | 2.96418e9i | −0.219173 | − | 0.674545i | −0.998831 | − | 0.0483395i | \(-0.984607\pi\) |
0.779658 | − | 0.626206i | \(-0.215393\pi\) | |||||||
\(570\) | 3.00300e8 | + | 9.24227e8i | 0.0679192 | + | 0.209034i | ||||
\(571\) | 1.10114e9 | 0.247523 | 0.123762 | − | 0.992312i | \(-0.460504\pi\) | ||||
0.123762 | + | 0.992312i | \(0.460504\pi\) | |||||||
\(572\) | −1.88416e9 | − | 1.36892e9i | −0.420950 | − | 0.305838i | ||||
\(573\) | −5.01474e8 | −0.111354 | ||||||||
\(574\) | 1.20024e8 | + | 1.29821e9i | 0.0264897 | + | 0.286518i | ||||
\(575\) | 5.04549e9 | 1.10679 | ||||||||
\(576\) | 2.53704e9 | + | 1.84327e9i | 0.553157 | + | 0.401892i | ||||
\(577\) | 1.02538e8 | 0.0222212 | 0.0111106 | − | 0.999938i | \(-0.496463\pi\) | ||||
0.0111106 | + | 0.999938i | \(0.496463\pi\) | |||||||
\(578\) | −9.19417e8 | − | 2.82967e9i | −0.198046 | − | 0.609521i | ||||
\(579\) | 4.75748e8 | + | 1.46420e9i | 0.101860 | + | 0.313491i | ||||
\(580\) | −2.18831e9 | − | 1.58990e9i | −0.465705 | − | 0.338354i | ||||
\(581\) | 2.14414e9 | − | 1.55781e9i | 0.453562 | − | 0.329532i | ||||
\(582\) | 7.55755e8 | − | 2.32597e9i | 0.158910 | − | 0.489074i | ||||
\(583\) | 1.04010e9 | 0.217389 | ||||||||
\(584\) | −2.29995e9 | + | 7.07851e9i | −0.477830 | + | 1.47061i | ||||
\(585\) | 9.29567e8 | − | 2.86091e9i | 0.191971 | − | 0.590825i | ||||
\(586\) | 8.78731e7 | + | 2.70446e8i | 0.0180391 | + | 0.0555186i | ||||
\(587\) | −9.58337e8 | − | 6.96273e8i | −0.195562 | − | 0.142084i | 0.485695 | − | 0.874128i | \(-0.338567\pi\) |
−0.681257 | + | 0.732044i | \(0.738567\pi\) | |||||||
\(588\) | −9.08089e8 | −0.184208 | ||||||||
\(589\) | 2.98160e9 | + | 9.17644e9i | 0.601238 | + | 1.85042i | ||||
\(590\) | 1.06735e9 | − | 7.75476e8i | 0.213956 | − | 0.155448i | ||||
\(591\) | −4.93713e8 | + | 1.51949e9i | −0.0983827 | + | 0.302791i | ||||
\(592\) | 5.13793e8 | + | 3.73292e8i | 0.101780 | + | 0.0739474i | ||||
\(593\) | −7.74384e9 | + | 5.62623e9i | −1.52498 | + | 1.10797i | −0.566037 | + | 0.824380i | \(0.691524\pi\) |
−0.958947 | + | 0.283585i | \(0.908476\pi\) | |||||||
\(594\) | −1.69046e9 | + | 1.22819e9i | −0.330942 | + | 0.240443i | ||||
\(595\) | −2.72199e8 | + | 1.97764e8i | −0.0529757 | + | 0.0384891i | ||||
\(596\) | −9.97966e8 | + | 7.25065e8i | −0.193087 | + | 0.140286i | ||||
\(597\) | 1.57497e8 | + | 1.14429e8i | 0.0302945 | + | 0.0220102i | ||||
\(598\) | 2.44429e9 | − | 7.52274e9i | 0.467410 | − | 1.43854i | ||||
\(599\) | −7.30262e9 | + | 5.30566e9i | −1.38830 | + | 1.00866i | −0.392255 | + | 0.919856i | \(0.628305\pi\) |
−0.996049 | + | 0.0888057i | \(0.971695\pi\) | |||||||
\(600\) | −4.88766e8 | − | 1.50427e9i | −0.0923786 | − | 0.284312i | ||||
\(601\) | 6.35850e9 | 1.19480 | 0.597398 | − | 0.801945i | \(-0.296201\pi\) | ||||
0.597398 | + | 0.801945i | \(0.296201\pi\) | |||||||
\(602\) | −3.69418e7 | − | 2.68398e7i | −0.00690129 | − | 0.00501408i | ||||
\(603\) | −1.26347e9 | − | 3.88856e9i | −0.234668 | − | 0.722235i | ||||
\(604\) | 9.11035e8 | − | 2.80388e9i | 0.168231 | − | 0.517761i | ||||
\(605\) | −4.10338e8 | + | 1.26289e9i | −0.0753352 | + | 0.231858i | ||||
\(606\) | −6.45033e8 | −0.117741 | ||||||||
\(607\) | 2.76266e9 | − | 8.50260e9i | 0.501381 | − | 1.54309i | −0.305391 | − | 0.952227i | \(-0.598787\pi\) |
0.806771 | − | 0.590864i | \(-0.201213\pi\) | |||||||
\(608\) | 5.22885e9 | − | 3.79898e9i | 0.943504 | − | 0.685496i | ||||
\(609\) | −1.52827e9 | − | 1.11036e9i | −0.274183 | − | 0.199206i | ||||
\(610\) | −1.28013e9 | − | 3.93983e9i | −0.228349 | − | 0.702786i | ||||
\(611\) | −4.17354e8 | − | 1.28448e9i | −0.0740219 | − | 0.227816i | ||||
\(612\) | 6.56608e8 | 0.115791 | ||||||||
\(613\) | 2.30714e9 | + | 1.67624e9i | 0.404541 | + | 0.293917i | 0.771388 | − | 0.636365i | \(-0.219563\pi\) |
−0.366847 | + | 0.930281i | \(0.619563\pi\) | |||||||
\(614\) | 4.16513e9 | 0.726171 | ||||||||
\(615\) | 1.31185e9 | − | 5.64490e8i | 0.227416 | − | 0.0978573i | ||||
\(616\) | −1.93229e9 | −0.333074 | ||||||||
\(617\) | 2.98338e9 | + | 2.16755e9i | 0.511340 | + | 0.371511i | 0.813332 | − | 0.581800i | \(-0.197651\pi\) |
−0.301991 | + | 0.953311i | \(0.597651\pi\) | |||||||
\(618\) | 1.94931e9 | 0.332217 | ||||||||
\(619\) | 2.86020e9 | + | 8.80280e9i | 0.484707 | + | 1.49178i | 0.832404 | + | 0.554169i | \(0.186964\pi\) |
−0.347697 | + | 0.937607i | \(0.613036\pi\) | |||||||
\(620\) | 8.39506e8 | + | 2.58373e9i | 0.141466 | + | 0.435388i | ||||
\(621\) | 6.24663e9 | + | 4.53845e9i | 1.04671 | + | 0.760478i | ||||
\(622\) | 3.60382e9 | − | 2.61833e9i | 0.600477 | − | 0.436272i | ||||
\(623\) | 2.06576e8 | − | 6.35775e8i | 0.0342272 | − | 0.105340i | ||||
\(624\) | −7.05976e8 | −0.116317 | ||||||||
\(625\) | 1.99857e8 | − | 6.15095e8i | 0.0327445 | − | 0.100777i | ||||
\(626\) | −4.29993e8 | + | 1.32338e9i | −0.0700569 | + | 0.215613i | ||||
\(627\) | 7.95815e8 | + | 2.44927e9i | 0.128936 | + | 0.396826i | ||||
\(628\) | −3.97119e9 | − | 2.88524e9i | −0.639826 | − | 0.464861i | ||||
\(629\) | 1.02929e9 | 0.164915 | ||||||||
\(630\) | −2.64207e8 | − | 8.13144e8i | −0.0420970 | − | 0.129561i | ||||
\(631\) | 4.32445e9 | − | 3.14190e9i | 0.685217 | − | 0.497839i | −0.189867 | − | 0.981810i | \(-0.560806\pi\) |
0.875084 | + | 0.483971i | \(0.160806\pi\) | |||||||
\(632\) | −1.52353e9 | + | 4.68895e9i | −0.240072 | + | 0.738866i | ||||
\(633\) | −2.68027e9 | − | 1.94733e9i | −0.420016 | − | 0.305160i | ||||
\(634\) | −5.70098e8 | + | 4.14200e8i | −0.0888458 | + | 0.0645502i | ||||
\(635\) | 1.28099e8 | − | 9.30696e7i | 0.0198536 | − | 0.0144245i | ||||
\(636\) | −3.33919e8 | + | 2.42606e8i | −0.0514684 | + | 0.0373940i | ||||
\(637\) | −5.72797e9 | + | 4.16161e9i | −0.878036 | + | 0.637931i | ||||
\(638\) | 5.33009e9 | + | 3.87253e9i | 0.812572 | + | 0.590368i | ||||
\(639\) | 1.22719e9 | − | 3.77692e9i | 0.186063 | − | 0.572643i | ||||
\(640\) | 1.02616e9 | − | 7.45548e8i | 0.154734 | − | 0.112421i | ||||
\(641\) | −2.90040e9 | − | 8.92652e9i | −0.434966 | − | 1.33869i | −0.893122 | − | 0.449815i | \(-0.851490\pi\) |
0.458156 | − | 0.888872i | \(-0.348510\pi\) | |||||||
\(642\) | −2.19303e9 | −0.327094 | ||||||||
\(643\) | 1.59834e9 | + | 1.16126e9i | 0.237100 | + | 0.172263i | 0.699990 | − | 0.714152i | \(-0.253188\pi\) |
−0.462891 | + | 0.886415i | \(0.653188\pi\) | |||||||
\(644\) | 7.55869e8 | + | 2.32633e9i | 0.111518 | + | 0.343218i | ||||
\(645\) | −1.54570e7 | + | 4.75716e7i | −0.00226811 | + | 0.00698054i | ||||
\(646\) | −5.11066e8 | + | 1.57290e9i | −0.0745870 | + | 0.229555i | ||||
\(647\) | 5.21266e9 | 0.756649 | 0.378324 | − | 0.925673i | \(-0.376500\pi\) | ||||
0.378324 | + | 0.925673i | \(0.376500\pi\) | |||||||
\(648\) | −1.09354e9 | + | 3.36558e9i | −0.157879 | + | 0.485900i | ||||
\(649\) | 2.82855e9 | − | 2.05507e9i | 0.406170 | − | 0.295100i | ||||
\(650\) | −3.41775e9 | − | 2.48314e9i | −0.488139 | − | 0.354653i | ||||
\(651\) | 5.86295e8 | + | 1.80443e9i | 0.0832880 | + | 0.256334i | ||||
\(652\) | 5.13228e8 | + | 1.57955e9i | 0.0725177 | + | 0.223187i | ||||
\(653\) | 8.95049e9 | 1.25791 | 0.628956 | − | 0.777441i | \(-0.283482\pi\) | ||||
0.628956 | + | 0.777441i | \(0.283482\pi\) | |||||||
\(654\) | −3.87288e8 | − | 2.81381e8i | −0.0541393 | − | 0.0393345i | ||||
\(655\) | 5.64075e9 | 0.784318 | ||||||||
\(656\) | 9.89415e8 | + | 1.12693e9i | 0.136841 | + | 0.155860i | ||||
\(657\) | −8.72732e9 | −1.20061 | ||||||||
\(658\) | −3.10558e8 | − | 2.25634e8i | −0.0424964 | − | 0.0308754i | ||||
\(659\) | −4.44546e9 | −0.605087 | −0.302544 | − | 0.953136i | \(-0.597836\pi\) | ||||
−0.302544 | + | 0.953136i | \(0.597836\pi\) | |||||||
\(660\) | 2.24071e8 | + | 6.89620e8i | 0.0303377 | + | 0.0933697i | ||||
\(661\) | −5.94871e8 | − | 1.83082e9i | −0.0801157 | − | 0.246571i | 0.902974 | − | 0.429695i | \(-0.141379\pi\) |
−0.983090 | + | 0.183124i | \(0.941379\pi\) | |||||||
\(662\) | 5.22913e9 | + | 3.79919e9i | 0.700530 | + | 0.508965i | ||||
\(663\) | −9.25669e8 | + | 6.72538e8i | −0.123355 | + | 0.0896229i | ||||
\(664\) | 3.30878e9 | − | 1.01834e10i | 0.438611 | − | 1.34991i | ||||
\(665\) | −2.34305e9 | −0.308962 | ||||||||
\(666\) | −8.08263e8 | + | 2.48758e9i | −0.106021 | + | 0.326300i | ||||
\(667\) | 7.52317e9 | − | 2.31539e10i | 0.981659 | − | 3.02123i | ||||
\(668\) | 1.66125e9 | + | 5.11281e9i | 0.215634 | + | 0.663655i | ||||
\(669\) | −3.03816e8 | − | 2.20736e8i | −0.0392301 | − | 0.0285024i | ||||
\(670\) | 2.89965e9 | 0.372463 | ||||||||
\(671\) | −3.39243e9 | − | 1.04408e10i | −0.433493 | − | 1.33415i | ||||
\(672\) | 1.02819e9 | − | 7.47022e8i | 0.130701 | − | 0.0949600i | ||||
\(673\) | −3.30410e9 | + | 1.01690e10i | −0.417831 | + | 1.28595i | 0.491863 | + | 0.870672i | \(0.336316\pi\) |
−0.909694 | + | 0.415279i | \(0.863684\pi\) | |||||||
\(674\) | −6.19864e9 | − | 4.50358e9i | −0.779807 | − | 0.566563i | ||||
\(675\) | 3.33625e9 | − | 2.42393e9i | 0.417537 | − | 0.303359i | ||||
\(676\) | 2.44372e9 | − | 1.77546e9i | 0.304255 | − | 0.221054i | ||||
\(677\) | −7.26231e9 | + | 5.27638e9i | −0.899528 | + | 0.653545i | −0.938345 | − | 0.345701i | \(-0.887641\pi\) |
0.0388171 | + | 0.999246i | \(0.487641\pi\) | |||||||
\(678\) | −3.44424e9 | + | 2.50238e9i | −0.424413 | + | 0.308354i | ||||
\(679\) | 4.77051e9 | + | 3.46598e9i | 0.584818 | + | 0.424895i | ||||
\(680\) | −4.20050e8 | + | 1.29278e9i | −0.0512295 | + | 0.157668i | ||||
\(681\) | 2.41957e8 | − | 1.75792e8i | 0.0293578 | − | 0.0213297i | ||||
\(682\) | −2.04479e9 | − | 6.29323e9i | −0.246833 | − | 0.759675i | ||||
\(683\) | −3.18652e9 | −0.382687 | −0.191343 | − | 0.981523i | \(-0.561284\pi\) | ||||
−0.191343 | + | 0.981523i | \(0.561284\pi\) | |||||||
\(684\) | 3.69927e9 | + | 2.68768e9i | 0.441998 | + | 0.321130i | ||||
\(685\) | 1.92626e9 | + | 5.92841e9i | 0.228980 | + | 0.704727i | ||||
\(686\) | −1.37368e9 | + | 4.22775e9i | −0.162462 | + | 0.500005i | ||||
\(687\) | 4.48742e8 | − | 1.38109e9i | 0.0528018 | − | 0.162507i | ||||
\(688\) | −5.25238e7 | −0.00614888 | ||||||||
\(689\) | −9.94444e8 | + | 3.06058e9i | −0.115828 | + | 0.356481i | ||||
\(690\) | −1.99238e9 | + | 1.44755e9i | −0.230887 | + | 0.167749i | ||||
\(691\) | 1.14181e10 | + | 8.29570e9i | 1.31649 | + | 0.956489i | 0.999969 | + | 0.00790545i | \(0.00251641\pi\) |
0.316526 | + | 0.948584i | \(0.397484\pi\) | |||||||
\(692\) | −2.48031e8 | − | 7.63361e8i | −0.0284534 | − | 0.0875706i | ||||
\(693\) | −7.00166e8 | − | 2.15489e9i | −0.0799161 | − | 0.245957i | ||||
\(694\) | −7.25127e9 | −0.823485 | ||||||||
\(695\) | −1.20275e9 | − | 8.73852e8i | −0.135903 | − | 0.0987396i | ||||
\(696\) | −7.63192e9 | −0.858028 | ||||||||
\(697\) | 2.37087e9 | + | 5.35071e8i | 0.265212 | + | 0.0598545i | ||||
\(698\) | −5.17730e9 | −0.576248 | ||||||||
\(699\) | −2.89866e9 | − | 2.10600e9i | −0.321016 | − | 0.233232i | ||||
\(700\) | 1.30640e9 | 0.143957 | ||||||||
\(701\) | −1.02595e9 | − | 3.15753e9i | −0.112489 | − | 0.346206i | 0.878926 | − | 0.476958i | \(-0.158261\pi\) |
−0.991415 | + | 0.130752i | \(0.958261\pi\) | |||||||
\(702\) | −1.99779e9 | − | 6.14856e9i | −0.217957 | − | 0.670801i | ||||
\(703\) | 5.79894e9 | + | 4.21318e9i | 0.629513 | + | 0.457368i | ||||
\(704\) | −4.76812e9 | + | 3.46424e9i | −0.515042 | + | 0.374200i | ||||
\(705\) | −1.29942e8 | + | 3.99920e8i | −0.0139665 | + | 0.0429844i | ||||
\(706\) | 7.77270e9 | 0.831295 | ||||||||
\(707\) | 4.80589e8 | − | 1.47910e9i | 0.0511453 | − | 0.157409i | ||||
\(708\) | −4.28742e8 | + | 1.31953e9i | −0.0454024 | + | 0.139734i | ||||
\(709\) | −3.09602e9 | − | 9.52856e9i | −0.326243 | − | 1.00407i | −0.970876 | − | 0.239581i | \(-0.922990\pi\) |
0.644633 | − | 0.764492i | \(-0.277010\pi\) | |||||||
\(710\) | 2.27851e9 | + | 1.65543e9i | 0.238917 | + | 0.173583i | ||||
\(711\) | −5.78116e9 | −0.603214 | ||||||||
\(712\) | −8.34584e8 | − | 2.56858e9i | −0.0866542 | − | 0.266694i | ||||
\(713\) | −1.97818e10 | + | 1.43723e10i | −2.04387 | + | 1.48496i | ||||
\(714\) | −1.00495e8 | + | 3.09291e8i | −0.0103324 | + | 0.0317997i | ||||
\(715\) | 4.57378e9 | + | 3.32305e9i | 0.467955 | + | 0.339989i | ||||
\(716\) | −2.16267e9 | + | 1.57127e9i | −0.220188 | + | 0.159976i | ||||
\(717\) | −1.32696e9 | + | 9.64093e8i | −0.134444 | + | 0.0976791i | ||||
\(718\) | 2.12988e9 | − | 1.54745e9i | 0.214743 | − | 0.156020i | ||||
\(719\) | −4.49579e9 | + | 3.26639e9i | −0.451082 | + | 0.327730i | −0.790023 | − | 0.613078i | \(-0.789931\pi\) |
0.338941 | + | 0.940808i | \(0.389931\pi\) | |||||||
\(720\) | −7.95635e8 | − | 5.78063e8i | −0.0794420 | − | 0.0577180i | ||||
\(721\) | −1.45235e9 | + | 4.46988e9i | −0.144311 | + | 0.444143i | ||||
\(722\) | −3.65559e9 | + | 2.65595e9i | −0.361475 | + | 0.262627i | ||||
\(723\) | −1.18012e9 | − | 3.63203e9i | −0.116129 | − | 0.357409i | ||||
\(724\) | −5.79630e9 | −0.567630 | ||||||||
\(725\) | −1.05193e10 | − | 7.64275e9i | −1.02519 | − | 0.744846i | ||||
\(726\) | 3.96619e8 | + | 1.22067e9i | 0.0384676 | + | 0.118391i | ||||
\(727\) | −3.95434e9 | + | 1.21702e10i | −0.381684 | + | 1.17470i | 0.557173 | + | 0.830396i | \(0.311886\pi\) |
−0.938857 | + | 0.344306i | \(0.888114\pi\) | |||||||
\(728\) | 1.84747e9 | − | 5.68591e9i | 0.177467 | − | 0.546186i | ||||
\(729\) | −6.76945e8 | −0.0647153 | ||||||||
\(730\) | 1.91261e9 | − | 5.88640e9i | 0.181968 | − | 0.560041i | ||||
\(731\) | −6.88686e7 | + | 5.00360e7i | −0.00652095 | + | 0.00473775i | ||||
\(732\) | 3.52446e9 | + | 2.56067e9i | 0.332127 | + | 0.241304i | ||||
\(733\) | 9.53049e8 | + | 2.93318e9i | 0.0893823 | + | 0.275090i | 0.985749 | − | 0.168223i | \(-0.0538029\pi\) |
−0.896367 | + | 0.443313i | \(0.853803\pi\) | |||||||
\(734\) | 1.48577e8 | + | 4.57272e8i | 0.0138680 | + | 0.0426813i | ||||
\(735\) | 2.20438e9 | 0.204777 | ||||||||
\(736\) | 1.32510e10 | + | 9.62739e9i | 1.22511 | + | 0.890094i | ||||
\(737\) | 7.68427e9 | 0.707076 | ||||||||
\(738\) | −3.15491e9 | + | 5.30971e9i | −0.288928 | + | 0.486266i | ||||
\(739\) | −1.19146e10 | −1.08599 | −0.542993 | − | 0.839737i | \(-0.682709\pi\) | ||||
−0.542993 | + | 0.839737i | \(0.682709\pi\) | |||||||
\(740\) | 1.63276e9 | + | 1.18627e9i | 0.148119 | + | 0.107615i | ||||
\(741\) | −7.96802e9 | −0.719427 | ||||||||
\(742\) | 2.82646e8 | + | 8.69895e8i | 0.0253997 | + | 0.0781724i | ||||
\(743\) | −4.16206e9 | − | 1.28095e10i | −0.372261 | − | 1.14570i | −0.945308 | − | 0.326178i | \(-0.894239\pi\) |
0.573047 | − | 0.819522i | \(-0.305761\pi\) | |||||||
\(744\) | 6.20128e9 | + | 4.50550e9i | 0.552047 | + | 0.401086i | ||||
\(745\) | 2.42256e9 | − | 1.76009e9i | 0.214648 | − | 0.155951i | ||||
\(746\) | 1.00754e9 | − | 3.10090e9i | 0.0888541 | − | 0.273465i | ||||
\(747\) | 1.25554e10 | 1.10207 | ||||||||
\(748\) | −3.81336e8 | + | 1.17363e9i | −0.0333160 | + | 0.102536i | ||||
\(749\) | 1.63394e9 | − | 5.02875e9i | 0.142086 | − | 0.437294i | ||||
\(750\) | 1.01815e9 | + | 3.13356e9i | 0.0881250 | + | 0.271221i | ||||
\(751\) | −1.73449e10 | − | 1.26018e10i | −1.49428 | − | 1.08566i | −0.972590 | − | 0.232528i | \(-0.925300\pi\) |
−0.521694 | − | 0.853133i | \(-0.674700\pi\) | |||||||
\(752\) | −4.41551e8 | −0.0378633 | ||||||||
\(753\) | −1.30868e9 | − | 4.02771e9i | −0.111700 | − | 0.343776i | ||||
\(754\) | −1.64913e10 | + | 1.19816e10i | −1.40106 | + | 1.01793i | ||||
\(755\) | −2.21153e9 | + | 6.80640e9i | −0.187016 | + | 0.575577i | ||||
\(756\) | 1.61741e9 | + | 1.17512e9i | 0.136142 | + | 0.0989132i | ||||
\(757\) | 1.00029e10 | − | 7.26750e9i | 0.838085 | − | 0.608905i | −0.0837498 | − | 0.996487i | \(-0.526690\pi\) |
0.921835 | + | 0.387582i | \(0.126690\pi\) | |||||||
\(758\) | 1.18990e10 | − | 8.64514e9i | 0.992359 | − | 0.720991i | ||||
\(759\) | −5.27993e9 | + | 3.83610e9i | −0.438311 | + | 0.318452i | ||||
\(760\) | −7.65825e9 | + | 5.56404e9i | −0.632822 | + | 0.459772i | ||||
\(761\) | −2.88573e9 | − | 2.09661e9i | −0.237361 | − | 0.172453i | 0.462746 | − | 0.886491i | \(-0.346864\pi\) |
−0.700107 | + | 0.714038i | \(0.746864\pi\) | |||||||
\(762\) | 4.72937e7 | − | 1.45555e8i | 0.00387223 | − | 0.0119175i | ||||
\(763\) | 9.33778e8 | − | 6.78429e8i | 0.0761040 | − | 0.0552928i | ||||
\(764\) | −5.17106e8 | − | 1.59149e9i | −0.0419520 | − | 0.129115i | ||||
\(765\) | −1.59391e9 | −0.128721 | ||||||||
\(766\) | 5.98255e8 | + | 4.34658e8i | 0.0480934 | + | 0.0349419i | ||||
\(767\) | 3.34280e9 | + | 1.02881e10i | 0.267502 | + | 0.823285i | ||||
\(768\) | 1.76586e9 | − | 5.43476e9i | 0.140667 | − | 0.432928i | ||||
\(769\) | 5.28948e9 | − | 1.62793e10i | 0.419441 | − | 1.29091i | −0.488778 | − | 0.872408i | \(-0.662557\pi\) |
0.908218 | − | 0.418497i | \(-0.137443\pi\) | |||||||
\(770\) | 1.60687e9 | 0.126842 | ||||||||
\(771\) | −1.22950e9 | + | 3.78400e9i | −0.0966133 | + | 0.297345i | ||||
\(772\) | −4.15624e9 | + | 3.01969e9i | −0.325117 | + | 0.236212i | ||||
\(773\) | −4.86466e9 | − | 3.53438e9i | −0.378813 | − | 0.275224i | 0.382043 | − | 0.924144i | \(-0.375221\pi\) |
−0.760856 | + | 0.648921i | \(0.775221\pi\) | |||||||
\(774\) | −6.68465e7 | − | 2.05732e8i | −0.00518186 | − | 0.0159481i | ||||
\(775\) | 4.03556e9 | + | 1.24202e10i | 0.311421 | + | 0.958455i | ||||
\(776\) | 2.38231e10 | 1.83013 | ||||||||
\(777\) | 1.14029e9 | + | 8.28468e8i | 0.0872049 | + | 0.0633581i | ||||
\(778\) | −1.08679e10 | −0.827403 | ||||||||
\(779\) | 1.11671e10 | + | 1.27192e10i | 0.846366 | + | 0.964001i | ||||
\(780\) | −2.24349e9 | −0.169275 | ||||||||
\(781\) | 6.03821e9 | + | 4.38702e9i | 0.453555 | + | 0.329527i | ||||
\(782\) | −4.19118e9 | −0.313410 | ||||||||
\(783\) | −6.14892e9 | − | 1.89244e10i | −0.457754 | − | 1.40882i | ||||
\(784\) | 7.15292e8 | + | 2.20144e9i | 0.0530123 | + | 0.163155i | ||||
\(785\) | 9.64004e9 | + | 7.00390e9i | 0.711271 | + | 0.516769i | ||||
\(786\) | 4.41089e9 | − | 3.20470e9i | 0.324002 | − | 0.235401i | ||||
\(787\) | 2.52473e9 | − | 7.77033e9i | 0.184631 | − | 0.568235i | −0.815311 | − | 0.579023i | \(-0.803434\pi\) |
0.999942 | + | 0.0107884i | \(0.00343411\pi\) | |||||||
\(788\) | −5.33140e9 | −0.388150 | ||||||||
\(789\) | 2.36328e9 | − | 7.27342e9i | 0.171295 | − | 0.527192i | ||||
\(790\) | 1.26695e9 | − | 3.89927e9i | 0.0914249 | − | 0.281377i | ||||
\(791\) | −3.17195e9 | − | 9.76227e9i | −0.227882 | − | 0.701347i | ||||
\(792\) | −7.40570e9 | − | 5.38056e9i | −0.529698 | − | 0.384848i | ||||
\(793\) | 3.39664e10 | 2.41876 | ||||||||
\(794\) | 1.67399e9 | + | 5.15201e9i | 0.118681 | + | 0.365262i | ||||
\(795\) | 8.10586e8 | − | 5.88926e8i | 0.0572156 | − | 0.0415696i | ||||
\(796\) | −2.00746e8 | + | 6.17833e8i | −0.0141075 | + | 0.0434185i | ||||
\(797\) | −4.98406e9 | − | 3.62113e9i | −0.348722 | − | 0.253361i | 0.399611 | − | 0.916685i | \(-0.369145\pi\) |
−0.748333 | + | 0.663324i | \(0.769145\pi\) | |||||||
\(798\) | −1.83219e9 | + | 1.33117e9i | −0.127632 | + | 0.0927304i | ||||
\(799\) | −5.78957e8 | + | 4.20637e8i | −0.0401543 | + | 0.0291738i | ||||
\(800\) | 7.07717e9 | − | 5.14187e9i | 0.488703 | − | 0.355063i | ||||
\(801\) | 2.56207e9 | − | 1.86145e9i | 0.176148 | − | 0.127979i | ||||
\(802\) | 1.51898e10 | + | 1.10360e10i | 1.03978 | + | 0.755446i | ||||
\(803\) | 5.06854e9 | − | 1.55994e10i | 0.345445 | − | 1.06317i | ||||
\(804\) | −2.46699e9 | + | 1.79237e9i | −0.167406 | + | 0.121627i | ||||
\(805\) | −1.83487e9 | − | 5.64715e9i | −0.123971 | − | 0.381543i | ||||
\(806\) | 2.04733e10 | 1.37726 | ||||||||
\(807\) | 5.37919e7 | + | 3.90821e7i | 0.00360296 | + | 0.00261770i | ||||
\(808\) | −1.94162e9 | − | 5.97569e9i | −0.129486 | − | 0.398518i | ||||
\(809\) | −1.17010e9 | + | 3.60120e9i | −0.0776968 | + | 0.239126i | −0.982359 | − | 0.187002i | \(-0.940123\pi\) |
0.904663 | + | 0.426128i | \(0.140123\pi\) | |||||||
\(810\) | 9.09376e8 | − | 2.79877e9i | 0.0601237 | − | 0.185042i | ||||
\(811\) | −9.98206e9 | −0.657124 | −0.328562 | − | 0.944482i | \(-0.606564\pi\) | ||||
−0.328562 | + | 0.944482i | \(0.606564\pi\) | |||||||
\(812\) | 1.94793e9 | − | 5.99513e9i | 0.127682 | − | 0.392964i | ||||
\(813\) | 4.56495e9 | − | 3.31663e9i | 0.297933 | − | 0.216461i | ||||
\(814\) | −3.97693e9 | − | 2.88941e9i | −0.258442 | − | 0.187769i | ||||
\(815\) | −1.24586e9 | − | 3.83436e9i | −0.0806153 | − | 0.248108i | ||||
\(816\) | 1.15595e8 | + | 3.55764e8i | 0.00744771 | + | 0.0229217i | ||||
\(817\) | −5.92811e8 | −0.0380311 | ||||||||
\(818\) | 1.32545e10 | + | 9.62996e9i | 0.846695 | + | 0.615160i | ||||
\(819\) | 7.01034e9 | 0.445908 | ||||||||
\(820\) | 3.14422e9 | + | 3.58123e9i | 0.199143 | + | 0.226821i | ||||
\(821\) | −2.00730e10 | −1.26593 | −0.632967 | − | 0.774179i | \(-0.718163\pi\) | ||||
−0.632967 | + | 0.774179i | \(0.718163\pi\) | |||||||
\(822\) | 4.87440e9 | + | 3.54146e9i | 0.306105 | + | 0.222398i | ||||
\(823\) | 1.47889e10 | 0.924775 | 0.462388 | − | 0.886678i | \(-0.346993\pi\) | ||||
0.462388 | + | 0.886678i | \(0.346993\pi\) | |||||||
\(824\) | 5.86763e9 | + | 1.80587e10i | 0.365357 | + | 1.12445i | ||||
\(825\) | 1.07712e9 | + | 3.31505e9i | 0.0667847 | + | 0.205542i | ||||
\(826\) | 2.48742e9 | + | 1.80721e9i | 0.153574 | + | 0.111578i | ||||
\(827\) | 1.41114e10 | − | 1.02525e10i | 0.867560 | − | 0.630319i | −0.0623714 | − | 0.998053i | \(-0.519866\pi\) |
0.929931 | + | 0.367734i | \(0.119866\pi\) | |||||||
\(828\) | −3.58082e9 | + | 1.10206e10i | −0.219218 | + | 0.674684i | ||||
\(829\) | −1.61951e10 | −0.987285 | −0.493643 | − | 0.869665i | \(-0.664335\pi\) | ||||
−0.493643 | + | 0.869665i | \(0.664335\pi\) | |||||||
\(830\) | −2.75154e9 | + | 8.46836e9i | −0.167033 | + | 0.514074i | ||||
\(831\) | −1.67878e9 | + | 5.16676e9i | −0.101482 | + | 0.312331i | ||||
\(832\) | −5.63498e9 | − | 1.73427e10i | −0.339204 | − | 1.04396i | ||||
\(833\) | 3.03505e9 | + | 2.20510e9i | 0.181932 | + | 0.132181i | ||||
\(834\) | −1.43698e9 | −0.0857768 | ||||||||
\(835\) | −4.03269e9 | − | 1.24113e10i | −0.239713 | − | 0.737761i | ||||
\(836\) | −6.95242e9 | + | 5.05123e9i | −0.411542 | + | 0.299003i | ||||
\(837\) | −6.17574e9 | + | 1.90070e10i | −0.364041 | + | 1.12040i | ||||
\(838\) | 5.23691e9 | + | 3.80484e9i | 0.307412 | + | 0.223348i | ||||
\(839\) | 2.56080e10 | − | 1.86053e10i | 1.49696 | − | 1.08760i | 0.525384 | − | 0.850866i | \(-0.323922\pi\) |
0.971574 | − | 0.236738i | \(-0.0760781\pi\) | |||||||
\(840\) | −1.50590e9 | + | 1.09410e9i | −0.0876633 | + | 0.0636911i | ||||
\(841\) | −3.68025e10 | + | 2.67386e10i | −2.13349 | + | 1.55007i | ||||
\(842\) | −1.12774e10 | + | 8.19350e9i | −0.651053 | + | 0.473018i | ||||
\(843\) | 9.35331e9 | + | 6.79557e9i | 0.537735 | + | 0.390688i | ||||
\(844\) | 3.41627e9 | − | 1.05142e10i | 0.195593 | − | 0.601974i | ||||
\(845\) | −5.93211e9 | + | 4.30993e9i | −0.338229 | + | 0.245738i | ||||
\(846\) | −5.61957e8 | − | 1.72953e9i | −0.0319085 | − | 0.0982044i | ||||
\(847\) | −3.09457e9 | −0.174988 | ||||||||
\(848\) | 8.51165e8 | + | 6.18407e8i | 0.0479323 | + | 0.0348248i | ||||
\(849\) | −1.28529e9 | − | 3.95572e9i | −0.0720816 | − | 0.221844i | ||||
\(850\) | −6.91721e8 | + | 2.12890e9i | −0.0386335 | + | 0.118902i | ||||
\(851\) | −5.61325e9 | + | 1.72758e10i | −0.312220 | + | 0.960915i | ||||
\(852\) | −2.96181e9 | −0.164066 | ||||||||
\(853\) | −4.02662e8 | + | 1.23927e9i | −0.0222136 | + | 0.0683665i | −0.961549 | − | 0.274634i | \(-0.911443\pi\) |
0.939335 | + | 0.343001i | \(0.111443\pi\) | |||||||
\(854\) | 7.81034e9 | − | 5.67454e9i | 0.429109 | − | 0.311766i | ||||
\(855\) | −8.97997e9 | − | 6.52433e9i | −0.491353 | − | 0.356989i | ||||
\(856\) | −6.60126e9 | − | 2.03166e10i | −0.359723 | − | 1.10711i | ||||
\(857\) | −3.70165e9 | − | 1.13925e10i | −0.200892 | − | 0.618281i | −0.999857 | − | 0.0169043i | \(-0.994619\pi\) |
0.798965 | − | 0.601377i | \(-0.205381\pi\) | |||||||
\(858\) | 5.46449e9 | 0.295355 | ||||||||
\(859\) | 1.46232e10 | + | 1.06244e10i | 0.787169 | + | 0.571911i | 0.907122 | − | 0.420868i | \(-0.138274\pi\) |
−0.119953 | + | 0.992780i | \(0.538274\pi\) | |||||||
\(860\) | −1.66913e8 | −0.00894841 | ||||||||
\(861\) | 2.19586e9 | + | 2.50106e9i | 0.117245 | + | 0.133541i | ||||
\(862\) | 1.77590e10 | 0.944370 | ||||||||
\(863\) | −2.61694e10 | − | 1.90132e10i | −1.38598 | − | 1.00697i | −0.996293 | − | 0.0860244i | \(-0.972584\pi\) |
−0.389686 | − | 0.920948i | \(-0.627416\pi\) | |||||||
\(864\) | 1.33871e10 | 0.706138 | ||||||||
\(865\) | 6.02094e8 | + | 1.85305e9i | 0.0316306 | + | 0.0973491i | ||||
\(866\) | −4.82226e9 | − | 1.48414e10i | −0.252312 | − | 0.776537i | ||||
\(867\) | −6.14483e9 | − | 4.46448e9i | −0.320216 | − | 0.232650i | ||||
\(868\) | −5.12201e9 | + | 3.72135e9i | −0.265840 | + | 0.193144i | ||||
\(869\) | 3.35751e9 | − | 1.03333e10i | 0.173559 | − | 0.534160i | ||||
\(870\) | 6.34660e9 | 0.326756 | ||||||||
\(871\) | −7.34693e9 | + | 2.26115e10i | −0.376740 | + | 1.15949i | ||||
\(872\) | 1.44098e9 | − | 4.43489e9i | 0.0735954 | − | 0.226503i | ||||
\(873\) | 8.63228e9 | + | 2.65674e10i | 0.439113 | + | 1.35145i | ||||
\(874\) | −2.36127e10 | − | 1.71557e10i | −1.19634 | − | 0.869195i | ||||
\(875\) | −7.94402e9 | −0.400878 | ||||||||
\(876\) | 2.01136e9 | + | 6.19032e9i | 0.101094 | + | 0.311135i | ||||
\(877\) | −1.87976e10 | + | 1.36572e10i | −0.941029 | + | 0.683698i | −0.948668 | − | 0.316273i | \(-0.897568\pi\) |
0.00763911 | + | 0.999971i | \(0.497568\pi\) | |||||||
\(878\) | −5.73667e9 | + | 1.76557e10i | −0.286042 | + | 0.880346i | ||||
\(879\) | 5.87291e8 | + | 4.26692e8i | 0.0291670 | + | 0.0211911i | ||||
\(880\) | 1.49532e9 | − | 1.08641e9i | 0.0739681 | − | 0.0537410i | ||||
\(881\) | −3.05714e9 | + | 2.22114e9i | −0.150626 | + | 0.109436i | −0.660546 | − | 0.750786i | \(-0.729675\pi\) |
0.509920 | + | 0.860222i | \(0.329675\pi\) | |||||||
\(882\) | −7.71257e9 | + | 5.60351e9i | −0.378494 | + | 0.274992i | ||||
\(883\) | −2.30911e10 | + | 1.67767e10i | −1.12871 | + | 0.820056i | −0.985506 | − | 0.169638i | \(-0.945740\pi\) |
−0.143203 | + | 0.989693i | \(0.545740\pi\) | |||||||
\(884\) | −3.08890e9 | − | 2.24422e9i | −0.150391 | − | 0.109265i | ||||
\(885\) | 1.04077e9 | − | 3.20316e9i | 0.0504723 | − | 0.155338i | ||||
\(886\) | −1.88893e10 | + | 1.37239e10i | −0.912424 | + | 0.662915i | ||||
\(887\) | −1.14272e10 | − | 3.51694e10i | −0.549804 | − | 1.69212i | −0.709285 | − | 0.704921i | \(-0.750982\pi\) |
0.159482 | − | 0.987201i | \(-0.449018\pi\) | |||||||
\(888\) | 5.69439e9 | 0.272899 | ||||||||
\(889\) | 2.98530e8 | + | 2.16895e8i | 0.0142506 | + | 0.0103536i | ||||
\(890\) | 6.94029e8 | + | 2.13600e9i | 0.0329999 | + | 0.101563i | ||||
\(891\) | 2.40991e9 | − | 7.41694e9i | 0.114138 | − | 0.351279i | ||||
\(892\) | 3.87244e8 | − | 1.19181e9i | 0.0182687 | − | 0.0562253i | ||||
\(893\) | −4.98358e9 | −0.234186 | ||||||||
\(894\) | 8.94398e8 | − | 2.75267e9i | 0.0418648 | − | 0.128847i | ||||
\(895\) | 5.24987e9 | − | 3.81425e9i | 0.244775 | − | 0.177840i | ||||
\(896\) | 2.39142e9 | + | 1.73747e9i | 0.111065 | + | 0.0806935i | ||||
\(897\) | −6.23985e9 | − | 1.92043e10i | −0.288669 | − | 0.888433i | ||||
\(898\) | 1.88482e9 | + | 5.80088e9i | 0.0868566 | + | 0.267317i | ||||
\(899\) | 6.30139e10 | 2.89253 | ||||||||
\(900\) | 5.00691e9 | + | 3.63774e9i | 0.228940 | + | 0.166334i | ||||
\(901\) | 1.70516e9 | 0.0776653 | ||||||||
\(902\) | −7.65841e9 | − | 8.72284e9i | −0.347469 | − | 0.395763i | ||||
\(903\) | −1.16569e8 | −0.00526836 | ||||||||
\(904\) | −3.35500e10 | − | 2.43755e10i | −1.51044 | − | 1.09740i | ||||
\(905\) | 1.40705e10 | 0.631014 | ||||||||
\(906\) | 2.13759e9 | + | 6.57884e9i | 0.0954941 | + | 0.293901i | ||||
\(907\) | 7.04341e9 | + | 2.16774e10i | 0.313442 | + | 0.964675i | 0.976391 | + | 0.216011i | \(0.0693046\pi\) |
−0.662949 | + | 0.748665i | \(0.730695\pi\) | |||||||
\(908\) | 8.07397e8 | + | 5.86608e8i | 0.0357920 | + | 0.0260044i | ||||
\(909\) | 5.96053e9 | − | 4.33058e9i | 0.263215 | − | 0.191237i | ||||
\(910\) | −1.53633e9 | + | 4.72833e9i | −0.0675833 | + | 0.208000i | ||||
\(911\) | 2.65654e9 | 0.116413 | 0.0582067 | − | 0.998305i | \(-0.481462\pi\) | ||||
0.0582067 | + | 0.998305i | \(0.481462\pi\) | |||||||
\(912\) | −8.04991e8 | + | 2.47751e9i | −0.0351406 | + | 0.108152i | ||||
\(913\) | −7.29176e9 | + | 2.24417e10i | −0.317092 | + | 0.975908i | ||||
\(914\) | 9.98642e8 | + | 3.07350e9i | 0.0432611 | + | 0.133144i | ||||
\(915\) | −8.55561e9 | − | 6.21601e9i | −0.369213 | − | 0.268249i | ||||
\(916\) | 4.84578e9 | 0.208319 | ||||||||
\(917\) | 4.06219e9 | + | 1.25021e10i | 0.173967 | + | 0.535416i | ||||
\(918\) | −2.77135e9 | + | 2.01350e9i | −0.118234 | + | 0.0859019i | ||||
\(919\) | 1.28774e10 | − | 3.96327e10i | 0.547300 | − | 1.68441i | −0.168159 | − | 0.985760i | \(-0.553782\pi\) |
0.715459 | − | 0.698655i | \(-0.246218\pi\) | |||||||
\(920\) | −1.94075e10 | − | 1.41004e10i | −0.821700 | − | 0.597000i | ||||
\(921\) | 8.60217e9 | − | 6.24984e9i | 0.362827 | − | 0.263609i | ||||
\(922\) | −1.00407e10 | + | 7.29499e9i | −0.421896 | + | 0.306525i | ||||
\(923\) | −1.86822e10 | + | 1.35734e10i | −0.782029 | + | 0.568178i | ||||
\(924\) | −1.36711e9 | + | 9.93260e8i | −0.0570099 | + | 0.0414201i | ||||
\(925\) | 7.84878e9 | + | 5.70247e9i | 0.326066 | + | 0.236901i | ||||
\(926\) | 2.86802e9 | − | 8.82685e9i | 0.118698 | − | 0.365315i | ||||
\(927\) | −1.80129e10 | + | 1.30871e10i | −0.742684 | + | 0.539592i | ||||
\(928\) | −1.30437e10 | − | 4.01443e10i | −0.535774 | − | 1.64894i | ||||
\(929\) | −2.02097e10 | −0.827001 | −0.413500 | − | 0.910504i | \(-0.635694\pi\) | ||||
−0.413500 | + | 0.910504i | \(0.635694\pi\) | |||||||
\(930\) | −5.15691e9 | − | 3.74671e9i | −0.210232 | − | 0.152743i | ||||
\(931\) | 8.07317e9 | + | 2.48467e10i | 0.327884 | + | 1.00912i | ||||
\(932\) | 3.69463e9 | − | 1.13709e10i | 0.149491 | − | 0.460086i | ||||
\(933\) | 3.51406e9 | − | 1.08152e10i | 0.141652 | − | 0.435961i | ||||
\(934\) | −1.25457e10 | −0.503826 | ||||||||
\(935\) | 9.25692e8 | − | 2.84899e9i | 0.0370361 | − | 0.113986i | ||||
\(936\) | 2.29133e10 | − | 1.66475e10i | 0.913318 | − | 0.663564i | ||||
\(937\) | 1.55513e10 | + | 1.12987e10i | 0.617558 | + | 0.448682i | 0.852068 | − | 0.523432i | \(-0.175348\pi\) |
−0.234510 | + | 0.972114i | \(0.575348\pi\) | |||||||
\(938\) | 2.08818e9 | + | 6.42677e9i | 0.0826150 | + | 0.254263i | ||||
\(939\) | 1.09770e9 | + | 3.37837e9i | 0.0432667 | + | 0.133161i | ||||
\(940\) | −1.40319e9 | −0.0551020 | ||||||||
\(941\) | 1.47691e10 | + | 1.07304e10i | 0.577818 | + | 0.419809i | 0.837937 | − | 0.545767i | \(-0.183762\pi\) |
−0.260119 | + | 0.965577i | \(0.583762\pi\) | |||||||
\(942\) | 1.15174e10 | 0.448926 | ||||||||
\(943\) | −2.19103e10 | + | 3.68751e10i | −0.850858 | + | 1.43200i | ||||
\(944\) | 3.53660e9 | 0.136831 | ||||||||
\(945\) | −3.92625e9 | − | 2.85259e9i | −0.151345 | − | 0.109958i | ||||
\(946\) | 4.06552e8 | 0.0156134 | ||||||||
\(947\) | −1.92305e9 | − | 5.91854e9i | −0.0735810 | − | 0.226459i | 0.907502 | − | 0.420049i | \(-0.137987\pi\) |
−0.981083 | + | 0.193590i | \(0.937987\pi\) | |||||||
\(948\) | 1.33236e9 | + | 4.10060e9i | 0.0507918 | + | 0.156321i | ||||
\(949\) | 4.10562e10 | + | 2.98291e10i | 1.55936 | + | 1.13294i | ||||
\(950\) | −1.26113e10 | + | 9.16262e9i | −0.477228 | + | 0.346727i | ||||
\(951\) | −5.55899e8 | + | 1.71088e9i | −0.0209587 | + | 0.0645042i | ||||
\(952\) | −3.16782e9 | −0.118996 | ||||||||
\(953\) | 2.53008e9 | − | 7.78679e9i | 0.0946911 | − | 0.291429i | −0.892482 | − | 0.451083i | \(-0.851038\pi\) |
0.987173 | + | 0.159654i | \(0.0510378\pi\) | |||||||
\(954\) | −1.33899e9 | + | 4.12100e9i | −0.0499298 | + | 0.153668i | ||||
\(955\) | 1.25527e9 | + | 3.86333e9i | 0.0466366 | + | 0.143533i | ||||
\(956\) | −4.42799e9 | − | 3.21712e9i | −0.163909 | − | 0.119087i | ||||
\(957\) | 1.68189e10 | 0.620307 | ||||||||
\(958\) | −9.50205e9 | − | 2.92443e10i | −0.349171 | − | 1.07464i | ||||
\(959\) | −1.17525e10 | + | 8.53869e9i | −0.430294 | + | 0.312627i | ||||
\(960\) | −1.75443e9 | + | 5.39959e9i | −0.0640011 | + | 0.196975i | ||||
\(961\) | −2.89436e10 | − | 2.10287e10i | −1.05201 | − | 0.764331i | ||||
\(962\) | 1.23046e10 | − | 8.93984e9i | 0.445611 | − | 0.323755i | ||||
\(963\) | 2.02650e10 | − | 1.47234e10i | 0.731232 | − | 0.531271i | ||||
\(964\) | 1.03098e10 | − | 7.49049e9i | 0.370663 | − | 0.269302i | ||||
\(965\) | 1.00893e10 | − | 7.33027e9i | 0.361421 | − | 0.262588i | ||||
\(966\) | −4.64314e9 | − | 3.37344e9i | −0.165727 | − | 0.120407i | ||||
\(967\) | 5.72760e8 | − | 1.76277e9i | 0.0203695 | − | 0.0626908i | −0.940355 | − | 0.340195i | \(-0.889507\pi\) |
0.960725 | + | 0.277504i | \(0.0895071\pi\) | |||||||
\(968\) | −1.01146e10 | + | 7.34868e9i | −0.358414 | + | 0.260403i | ||||
\(969\) | 1.30467e9 | + | 4.01535e9i | 0.0460644 | + | 0.141772i | ||||
\(970\) | −1.98110e10 | −0.696955 | ||||||||
\(971\) | 2.21798e10 | + | 1.61145e10i | 0.777481 | + | 0.564873i | 0.904222 | − | 0.427063i | \(-0.140452\pi\) |
−0.126741 | + | 0.991936i | \(0.540452\pi\) | |||||||
\(972\) | 4.53716e9 | + | 1.39639e10i | 0.158472 | + | 0.487726i | ||||
\(973\) | 1.07064e9 | − | 3.29508e9i | 0.0372604 | − | 0.114676i | ||||
\(974\) | 6.53985e9 | − | 2.01276e10i | 0.226783 | − | 0.697968i | ||||
\(975\) | −1.07846e10 | −0.372639 | ||||||||
\(976\) | 3.43155e9 | − | 1.05612e10i | 0.118145 | − | 0.363613i | ||||
\(977\) | −1.81225e10 | + | 1.31668e10i | −0.621710 | + | 0.451699i | −0.853518 | − | 0.521063i | \(-0.825536\pi\) |
0.231808 | + | 0.972762i | \(0.425536\pi\) | |||||||
\(978\) | −3.15265e9 | − | 2.29054e9i | −0.107768 | − | 0.0782981i | ||||
\(979\) | 1.83922e9 | + | 5.66055e9i | 0.0626463 | + | 0.192805i | ||||
\(980\) | 2.27310e9 | + | 6.99587e9i | 0.0771483 | + | 0.237438i | ||||
\(981\) | 5.46791e9 | 0.184918 | ||||||||
\(982\) | −1.16753e10 | − | 8.48257e9i | −0.393438 | − | 0.285849i | ||||
\(983\) | 1.17954e10 | 0.396072 | 0.198036 | − | 0.980195i | \(-0.436544\pi\) | ||||
0.198036 | + | 0.980195i | \(0.436544\pi\) | |||||||
\(984\) | 1.31164e10 | + | 2.96020e9i | 0.438867 | + | 0.0990462i | ||||
\(985\) | 1.29419e10 | 0.431492 | ||||||||
\(986\) | 8.73819e9 | + | 6.34866e9i | 0.290303 | + | 0.210918i | ||||
\(987\) | −9.79958e8 | −0.0324412 | ||||||||
\(988\) | −8.21640e9 | − | 2.52875e10i | −0.271039 | − | 0.834173i | ||||
\(989\) | −4.64237e8 | − | 1.42878e9i | −0.0152600 | − | 0.0469653i | ||||
\(990\) | 6.15849e9 | + | 4.47440e9i | 0.201721 | + | 0.146559i | ||||
\(991\) | 3.44178e10 | − | 2.50060e10i | 1.12338 | − | 0.816180i | 0.138659 | − | 0.990340i | \(-0.455721\pi\) |
0.984717 | + | 0.174160i | \(0.0557209\pi\) | |||||||
\(992\) | −1.31006e10 | + | 4.03194e10i | −0.426088 | + | 1.31136i | ||||
\(993\) | 1.65004e10 | 0.534776 | ||||||||
\(994\) | −2.02823e9 | + | 6.24224e9i | −0.0655035 | + | 0.201599i | ||||
\(995\) | 4.87310e8 | − | 1.49979e9i | 0.0156828 | − | 0.0482668i | ||||
\(996\) | −2.89360e9 | − | 8.90560e9i | −0.0927964 | − | 0.285598i | ||||
\(997\) | −4.52983e10 | − | 3.29111e10i | −1.44760 | − | 1.05174i | −0.986385 | − | 0.164455i | \(-0.947413\pi\) |
−0.461216 | − | 0.887288i | \(-0.652587\pi\) | |||||||
\(998\) | 3.26368e10 | 1.03932 | ||||||||
\(999\) | 4.58788e9 | + | 1.41200e10i | 0.145590 | + | 0.448081i |
(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 | 41.8.d.a.10.9 | ✓ | 96 | |
41.37 | even | 5 | inner | 41.8.d.a.37.9 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.8.d.a.10.9 | ✓ | 96 | 1.1 | even | 1 | trivial | |
41.8.d.a.37.9 | yes | 96 | 41.37 | even | 5 | inner |