Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,8,Mod(11,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.11");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.k (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(14.9944812232\) |
Analytic rank: | \(0\) |
Dimension: | \(108\) |
Relative dimension: | \(54\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 48.11 |
Dual form | 48.8.k.a.35.11 |
$q$-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 \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −9.27322 | − | 6.48131i | −0.819645 | − | 0.572872i | ||||
\(3\) | 27.2746 | − | 37.9881i | 0.583222 | − | 0.812313i | ||||
\(4\) | 43.9852 | + | 120.205i | 0.343634 | + | 0.939104i | ||||
\(5\) | −379.549 | + | 379.549i | −1.35792 | + | 1.35792i | −0.481432 | + | 0.876484i | \(0.659883\pi\) |
−0.876484 | + | 0.481432i | \(0.840117\pi\) | |||||||
\(6\) | −499.136 | + | 175.497i | −0.943386 | + | 0.331696i | ||||
\(7\) | 864.981 | 0.953155 | 0.476577 | − | 0.879132i | \(-0.341877\pi\) | ||||
0.476577 | + | 0.879132i | \(0.341877\pi\) | |||||||
\(8\) | 371.203 | − | 1399.77i | 0.256328 | − | 0.966590i | ||||
\(9\) | −699.194 | − | 2072.22i | −0.319705 | − | 0.947517i | ||||
\(10\) | 5979.61 | − | 1059.67i | 1.89092 | − | 0.335096i | ||||
\(11\) | −285.623 | − | 285.623i | −0.0647022 | − | 0.0647022i | 0.674015 | − | 0.738717i | \(-0.264568\pi\) |
−0.738717 | + | 0.674015i | \(0.764568\pi\) | |||||||
\(12\) | 5766.05 | + | 1607.63i | 0.963261 | + | 0.268567i | ||||
\(13\) | 4742.77 | − | 4742.77i | 0.598730 | − | 0.598730i | −0.341245 | − | 0.939974i | \(-0.610849\pi\) |
0.939974 | + | 0.341245i | \(0.110849\pi\) | |||||||
\(14\) | −8021.16 | − | 5606.21i | −0.781248 | − | 0.546036i | ||||
\(15\) | 4066.31 | + | 24770.4i | 0.311086 | + | 1.89502i | ||||
\(16\) | −12514.6 | + | 10574.5i | −0.763831 | + | 0.645416i | ||||
\(17\) | − | 23420.2i | − | 1.15616i | −0.815978 | − | 0.578082i | \(-0.803801\pi\) | ||
0.815978 | − | 0.578082i | \(-0.196199\pi\) | |||||||
\(18\) | −6946.93 | + | 23747.8i | −0.280762 | + | 0.959777i | ||||
\(19\) | 14837.1 | + | 14837.1i | 0.496261 | + | 0.496261i | 0.910272 | − | 0.414011i | \(-0.135872\pi\) |
−0.414011 | + | 0.910272i | \(0.635872\pi\) | |||||||
\(20\) | −62318.3 | − | 28929.2i | −1.74185 | − | 0.808597i | ||||
\(21\) | 23592.0 | − | 32859.0i | 0.555901 | − | 0.774260i | ||||
\(22\) | 797.433 | + | 4499.86i | 0.0159667 | + | 0.0900989i | ||||
\(23\) | − | 59037.2i | − | 1.01176i | −0.862604 | − | 0.505881i | \(-0.831168\pi\) | ||
0.862604 | − | 0.505881i | \(-0.168832\pi\) | |||||||
\(24\) | −43050.3 | − | 52279.5i | −0.635677 | − | 0.771955i | ||||
\(25\) | − | 209990.i | − | 2.68787i | ||||||
\(26\) | −74720.2 | + | 13241.4i | −0.833741 | + | 0.147750i | ||||
\(27\) | −97790.0 | − | 29957.9i | −0.956139 | − | 0.292913i | ||||
\(28\) | 38046.4 | + | 103975.i | 0.327537 | + | 0.895111i | ||||
\(29\) | 53858.0 | + | 53858.0i | 0.410070 | + | 0.410070i | 0.881763 | − | 0.471693i | \(-0.156357\pi\) |
−0.471693 | + | 0.881763i | \(0.656357\pi\) | |||||||
\(30\) | 122837. | − | 256056.i | 0.830623 | − | 1.73145i | ||||
\(31\) | − | 79079.0i | − | 0.476755i | −0.971173 | − | 0.238377i | \(-0.923384\pi\) | ||
0.971173 | − | 0.238377i | \(-0.0766155\pi\) | |||||||
\(32\) | 184587. | − | 16948.6i | 0.995811 | − | 0.0914345i | ||||
\(33\) | −18640.5 | + | 3060.03i | −0.0902941 | + | 0.0148227i | ||||
\(34\) | −151794. | + | 217181.i | −0.662335 | + | 0.947644i | ||||
\(35\) | −328303. | + | 328303.i | −1.29430 | + | 1.29430i | ||||
\(36\) | 218338. | − | 175194.i | 0.779955 | − | 0.625835i | ||||
\(37\) | −24070.3 | − | 24070.3i | −0.0781222 | − | 0.0781222i | 0.666966 | − | 0.745088i | \(-0.267593\pi\) |
−0.745088 | + | 0.666966i | \(0.767593\pi\) | |||||||
\(38\) | −41423.7 | − | 233751.i | −0.122463 | − | 0.691052i | ||||
\(39\) | −50811.9 | − | 309526.i | −0.137164 | − | 0.835548i | ||||
\(40\) | 390392. | + | 672171.i | 0.964475 | + | 1.66062i | ||||
\(41\) | −703269. | −1.59360 | −0.796798 | − | 0.604246i | \(-0.793474\pi\) | ||||
−0.796798 | + | 0.604246i | \(0.793474\pi\) | |||||||
\(42\) | −431743. | + | 151802.i | −0.899193 | + | 0.316158i | ||||
\(43\) | 569708. | − | 569708.i | 1.09273 | − | 1.09273i | 0.0974942 | − | 0.995236i | \(-0.468917\pi\) |
0.995236 | − | 0.0974942i | \(-0.0310827\pi\) | |||||||
\(44\) | 21770.2 | − | 46896.6i | 0.0385282 | − | 0.0829959i | ||||
\(45\) | 1.05189e6 | + | 521131.i | 1.72078 | + | 0.852516i | ||||
\(46\) | −382638. | + | 547465.i | −0.579610 | + | 0.829285i | ||||
\(47\) | 1.06175e6 | 1.49170 | 0.745849 | − | 0.666115i | \(-0.232044\pi\) | ||||
0.745849 | + | 0.666115i | \(0.232044\pi\) | |||||||
\(48\) | 60374.8 | + | 763821.i | 0.0787974 | + | 0.996891i | ||||
\(49\) | −75350.6 | −0.0914956 | ||||||||
\(50\) | −1.36101e6 | + | 1.94728e6i | −1.53981 | + | 2.20310i | ||||
\(51\) | −889690. | − | 638777.i | −0.939168 | − | 0.674300i | ||||
\(52\) | 778718. | + | 361495.i | 0.768013 | + | 0.356525i | ||||
\(53\) | 1.16855e6 | − | 1.16855e6i | 1.07816 | − | 1.07816i | 0.0814833 | − | 0.996675i | \(-0.474034\pi\) |
0.996675 | − | 0.0814833i | \(-0.0259657\pi\) | |||||||
\(54\) | 712661. | + | 911613.i | 0.615893 | + | 0.787830i | ||||
\(55\) | 216816. | 0.175720 | ||||||||
\(56\) | 321084. | − | 1.21078e6i | 0.244321 | − | 0.921310i | ||||
\(57\) | 968306. | − | 158957.i | 0.692549 | − | 0.113689i | ||||
\(58\) | −150367. | − | 848508.i | −0.101194 | − | 0.571029i | ||||
\(59\) | −138554. | − | 138554.i | −0.0878285 | − | 0.0878285i | 0.661828 | − | 0.749656i | \(-0.269781\pi\) |
−0.749656 | + | 0.661828i | \(0.769781\pi\) | |||||||
\(60\) | −2.79867e6 | + | 1.57832e6i | −1.67272 | + | 0.943336i | ||||
\(61\) | 406144. | − | 406144.i | 0.229101 | − | 0.229101i | −0.583216 | − | 0.812317i | \(-0.698206\pi\) |
0.812317 | + | 0.583216i | \(0.198206\pi\) | |||||||
\(62\) | −512535. | + | 733317.i | −0.273120 | + | 0.390769i | ||||
\(63\) | −604790. | − | 1.79243e6i | −0.304728 | − | 0.903131i | ||||
\(64\) | −1.82157e6 | − | 1.03920e6i | −0.868591 | − | 0.495529i | ||||
\(65\) | 3.60023e6i | 1.62605i | ||||||||
\(66\) | 192691. | + | 92438.8i | 0.0825006 | + | 0.0395777i | ||||
\(67\) | 840959. | + | 840959.i | 0.341596 | + | 0.341596i | 0.856967 | − | 0.515371i | \(-0.172346\pi\) |
−0.515371 | + | 0.856967i | \(0.672346\pi\) | |||||||
\(68\) | 2.81523e6 | − | 1.03014e6i | 1.08576 | − | 0.397298i | ||||
\(69\) | −2.24271e6 | − | 1.61021e6i | −0.821867 | − | 0.590081i | ||||
\(70\) | 5.17225e6 | − | 916591.i | 1.80234 | − | 0.319398i | ||||
\(71\) | 1.70865e6i | 0.566563i | 0.959037 | + | 0.283282i | \(0.0914231\pi\) | ||||
−0.959037 | + | 0.283282i | \(0.908577\pi\) | |||||||
\(72\) | −3.16018e6 | + | 209497.i | −0.997810 | + | 0.0661475i | ||||
\(73\) | − | 496669.i | − | 0.149430i | −0.997205 | − | 0.0747149i | \(-0.976195\pi\) | ||
0.997205 | − | 0.0747149i | \(-0.0238047\pi\) | |||||||
\(74\) | 67201.9 | + | 379216.i | 0.0192784 | + | 0.108787i | ||||
\(75\) | −7.97711e6 | − | 5.72738e6i | −2.18339 | − | 1.56762i | ||||
\(76\) | −1.13088e6 | + | 2.43610e6i | −0.295508 | + | 0.636573i | ||||
\(77\) | −247059. | − | 247059.i | −0.0616712 | − | 0.0616712i | ||||
\(78\) | −1.53495e6 | + | 3.19963e6i | −0.366237 | + | 0.763430i | ||||
\(79\) | − | 305230.i | − | 0.0696519i | −0.999393 | − | 0.0348260i | \(-0.988912\pi\) | ||
0.999393 | − | 0.0348260i | \(-0.0110877\pi\) | |||||||
\(80\) | 736363. | − | 8.76344e6i | 0.160797 | − | 1.91364i | ||||
\(81\) | −3.80522e6 | + | 2.89777e6i | −0.795578 | + | 0.605851i | ||||
\(82\) | 6.52157e6 | + | 4.55811e6i | 1.30618 | + | 0.912927i | ||||
\(83\) | 3.74938e6 | − | 3.74938e6i | 0.719758 | − | 0.719758i | −0.248797 | − | 0.968556i | \(-0.580035\pi\) |
0.968556 | + | 0.248797i | \(0.0800353\pi\) | |||||||
\(84\) | 4.98752e6 | + | 1.39057e6i | 0.918137 | + | 0.255986i | ||||
\(85\) | 8.88912e6 | + | 8.88912e6i | 1.56997 | + | 1.56997i | ||||
\(86\) | −8.97549e6 | + | 1.59057e6i | −1.52165 | + | 0.269655i | ||||
\(87\) | 3.51492e6 | − | 577010.i | 0.572266 | − | 0.0939433i | ||||
\(88\) | −505831. | + | 293783.i | −0.0791255 | + | 0.0459555i | ||||
\(89\) | 7.69964e6 | 1.15773 | 0.578863 | − | 0.815425i | \(-0.303497\pi\) | ||||
0.578863 | + | 0.815425i | \(0.303497\pi\) | |||||||
\(90\) | −6.37677e6 | − | 1.16502e7i | −0.922045 | − | 1.68455i | ||||
\(91\) | 4.10241e6 | − | 4.10241e6i | 0.570682 | − | 0.570682i | ||||
\(92\) | 7.09658e6 | − | 2.59676e6i | 0.950148 | − | 0.347676i | ||||
\(93\) | −3.00406e6 | − | 2.15685e6i | −0.387274 | − | 0.278054i | ||||
\(94\) | −9.84587e6 | − | 6.88155e6i | −1.22266 | − | 0.854553i | ||||
\(95\) | −1.12628e7 | −1.34776 | ||||||||
\(96\) | 4.39070e6 | − | 7.47439e6i | 0.506505 | − | 0.862237i | ||||
\(97\) | −4.94267e6 | −0.549871 | −0.274935 | − | 0.961463i | \(-0.588656\pi\) | ||||
−0.274935 | + | 0.961463i | \(0.588656\pi\) | |||||||
\(98\) | 698743. | + | 488371.i | 0.0749939 | + | 0.0524153i | ||||
\(99\) | −392168. | + | 791580.i | −0.0406208 | + | 0.0819920i | ||||
\(100\) | 2.52419e7 | − | 9.23644e6i | 2.52419 | − | 0.923644i | ||||
\(101\) | 1.59492e6 | − | 1.59492e6i | 0.154033 | − | 0.154033i | −0.625883 | − | 0.779917i | \(-0.715261\pi\) |
0.779917 | + | 0.625883i | \(0.215261\pi\) | |||||||
\(102\) | 4.11018e6 | + | 1.16899e7i | 0.383495 | + | 1.09071i | ||||
\(103\) | −1.77794e7 | −1.60320 | −0.801600 | − | 0.597861i | \(-0.796017\pi\) | ||||
−0.801600 | + | 0.597861i | \(0.796017\pi\) | |||||||
\(104\) | −4.87827e6 | − | 8.39933e6i | −0.425254 | − | 0.732197i | ||||
\(105\) | 3.51728e6 | + | 2.14259e7i | 0.296513 | + | 1.80625i | ||||
\(106\) | −1.84100e7 | + | 3.26249e6i | −1.50135 | + | 0.266059i | ||||
\(107\) | −6.93843e6 | − | 6.93843e6i | −0.547543 | − | 0.547543i | 0.378186 | − | 0.925729i | \(-0.376548\pi\) |
−0.925729 | + | 0.378186i | \(0.876548\pi\) | |||||||
\(108\) | −700216. | − | 1.30726e7i | −0.0534871 | − | 0.998569i | ||||
\(109\) | −2.51694e6 | + | 2.51694e6i | −0.186158 | + | 0.186158i | −0.794033 | − | 0.607875i | \(-0.792022\pi\) |
0.607875 | + | 0.794033i | \(0.292022\pi\) | |||||||
\(110\) | −2.01058e6 | − | 1.40525e6i | −0.144028 | − | 0.100665i | ||||
\(111\) | −1.57089e6 | + | 257877.i | −0.109022 | + | 0.0178971i | ||||
\(112\) | −1.08249e7 | + | 9.14675e6i | −0.728049 | + | 0.615182i | ||||
\(113\) | 1.92987e7i | 1.25821i | 0.777321 | + | 0.629105i | \(0.216578\pi\) | ||||
−0.777321 | + | 0.629105i | \(0.783422\pi\) | |||||||
\(114\) | −1.00096e7 | − | 4.80185e6i | −0.632774 | − | 0.303558i | ||||
\(115\) | 2.24075e7 | + | 2.24075e7i | 1.37389 | + | 1.37389i | ||||
\(116\) | −4.10506e6 | + | 8.84298e6i | −0.244184 | + | 0.526012i | ||||
\(117\) | −1.31442e7 | − | 6.51195e6i | −0.758723 | − | 0.375890i | ||||
\(118\) | 386829. | + | 2.18285e6i | 0.0216736 | + | 0.122303i | ||||
\(119\) | − | 2.02580e7i | − | 1.10200i | ||||||
\(120\) | 3.61823e7 | + | 3.50295e6i | 1.91145 | + | 0.185054i | ||||
\(121\) | − | 1.93240e7i | − | 0.991627i | ||||||
\(122\) | −6.39862e6 | + | 1.13392e6i | −0.319026 | + | 0.0565356i | ||||
\(123\) | −1.91814e7 | + | 2.67159e7i | −0.929420 | + | 1.29450i | ||||
\(124\) | 9.50571e6 | − | 3.47830e6i | 0.447722 | − | 0.163829i | ||||
\(125\) | 5.00491e7 | + | 5.00491e7i | 2.29198 | + | 2.29198i | ||||
\(126\) | −6.00896e6 | + | 2.05414e7i | −0.267610 | + | 0.914817i | ||||
\(127\) | − | 5.60477e6i | − | 0.242798i | −0.992604 | − | 0.121399i | \(-0.961262\pi\) | ||
0.992604 | − | 0.121399i | \(-0.0387380\pi\) | |||||||
\(128\) | 1.01564e7 | + | 2.14429e7i | 0.428061 | + | 0.903750i | ||||
\(129\) | −6.10359e6 | − | 3.71807e7i | −0.250335 | − | 1.52494i | ||||
\(130\) | 2.33342e7 | − | 3.33857e7i | 0.931518 | − | 1.33278i | ||||
\(131\) | −2.51498e7 | + | 2.51498e7i | −0.977430 | + | 0.977430i | −0.999751 | − | 0.0223212i | \(-0.992894\pi\) |
0.0223212 | + | 0.999751i | \(0.492894\pi\) | |||||||
\(132\) | −1.18774e6 | − | 2.10609e6i | −0.0449482 | − | 0.0797020i | ||||
\(133\) | 1.28338e7 | + | 1.28338e7i | 0.473014 | + | 0.473014i | ||||
\(134\) | −2.34788e6 | − | 1.32489e7i | −0.0842964 | − | 0.475678i | ||||
\(135\) | 4.84866e7 | − | 2.57456e7i | 1.69611 | − | 0.900606i | ||||
\(136\) | −3.27830e7 | − | 8.69366e6i | −1.11754 | − | 0.296358i | ||||
\(137\) | 1.91722e7 | 0.637016 | 0.318508 | − | 0.947920i | \(-0.396818\pi\) | ||||
0.318508 | + | 0.947920i | \(0.396818\pi\) | |||||||
\(138\) | 1.03608e7 | + | 2.94676e7i | 0.335597 | + | 0.954482i | ||||
\(139\) | −1.59862e7 | + | 1.59862e7i | −0.504885 | + | 0.504885i | −0.912952 | − | 0.408067i | \(-0.866203\pi\) |
0.408067 | + | 0.912952i | \(0.366203\pi\) | |||||||
\(140\) | −5.39042e7 | − | 2.50232e7i | −1.66025 | − | 0.770718i | ||||
\(141\) | 2.89589e7 | − | 4.03340e7i | 0.869991 | − | 1.21173i | ||||
\(142\) | 1.10743e7 | − | 1.58447e7i | 0.324568 | − | 0.464380i | ||||
\(143\) | −2.70929e6 | −0.0774782 | ||||||||
\(144\) | 3.06628e7 | + | 1.85394e7i | 0.855744 | + | 0.517400i | ||||
\(145\) | −4.08835e7 | −1.11368 | ||||||||
\(146\) | −3.21907e6 | + | 4.60572e6i | −0.0856042 | + | 0.122479i | ||||
\(147\) | −2.05516e6 | + | 2.86243e6i | −0.0533622 | + | 0.0743231i | ||||
\(148\) | 1.83464e6 | − | 3.95211e6i | 0.0465194 | − | 0.100210i | ||||
\(149\) | −3.06647e7 | + | 3.06647e7i | −0.759428 | + | 0.759428i | −0.976218 | − | 0.216790i | \(-0.930441\pi\) |
0.216790 | + | 0.976218i | \(0.430441\pi\) | |||||||
\(150\) | 3.68526e7 | + | 1.04813e8i | 0.891555 | + | 2.53570i | ||||
\(151\) | −3.15631e7 | −0.746038 | −0.373019 | − | 0.927824i | \(-0.621677\pi\) | ||||
−0.373019 | + | 0.927824i | \(0.621677\pi\) | |||||||
\(152\) | 2.62760e7 | − | 1.52609e7i | 0.606886 | − | 0.352475i | ||||
\(153\) | −4.85318e7 | + | 1.63753e7i | −1.09549 | + | 0.369631i | ||||
\(154\) | 689765. | + | 3.89229e6i | 0.0152187 | + | 0.0858782i | ||||
\(155\) | 3.00143e7 | + | 3.00143e7i | 0.647393 | + | 0.647393i | ||||
\(156\) | 3.49717e7 | − | 1.97224e7i | 0.737532 | − | 0.415934i | ||||
\(157\) | 1.46347e7 | − | 1.46347e7i | 0.301810 | − | 0.301810i | −0.539911 | − | 0.841722i | \(-0.681542\pi\) |
0.841722 | + | 0.539911i | \(0.181542\pi\) | |||||||
\(158\) | −1.97829e6 | + | 2.83047e6i | −0.0399017 | + | 0.0570898i | ||||
\(159\) | −1.25193e7 | − | 7.62628e7i | −0.246996 | − | 1.50461i | ||||
\(160\) | −6.36271e7 | + | 7.64927e7i | −1.22807 | + | 1.47639i | ||||
\(161\) | − | 5.10660e7i | − | 0.964365i | ||||||
\(162\) | 5.40680e7 | − | 2.20879e6i | 0.999167 | − | 0.0408180i | ||||
\(163\) | −1.16825e7 | − | 1.16825e7i | −0.211291 | − | 0.211291i | 0.593525 | − | 0.804816i | \(-0.297736\pi\) |
−0.804816 | + | 0.593525i | \(0.797736\pi\) | |||||||
\(164\) | −3.09334e7 | − | 8.45366e7i | −0.547614 | − | 1.49655i | ||||
\(165\) | 5.91356e6 | − | 8.23642e6i | 0.102484 | − | 0.142740i | ||||
\(166\) | −5.90698e7 | + | 1.04679e7i | −1.00228 | + | 0.177616i | ||||
\(167\) | 1.99434e7i | 0.331354i | 0.986180 | + | 0.165677i | \(0.0529809\pi\) | ||||
−0.986180 | + | 0.165677i | \(0.947019\pi\) | |||||||
\(168\) | −3.72377e7 | − | 4.52208e7i | −0.605899 | − | 0.735793i | ||||
\(169\) | 1.77607e7i | 0.283046i | ||||||||
\(170\) | −2.48176e7 | − | 1.40044e8i | −0.387426 | − | 2.18622i | ||||
\(171\) | 2.03717e7 | − | 4.11196e7i | 0.311559 | − | 0.628873i | ||||
\(172\) | 9.35407e7 | + | 4.34232e7i | 1.40169 | + | 0.650687i | ||||
\(173\) | −3.80258e7 | − | 3.80258e7i | −0.558363 | − | 0.558363i | 0.370478 | − | 0.928841i | \(-0.379194\pi\) |
−0.928841 | + | 0.370478i | \(0.879194\pi\) | |||||||
\(174\) | −3.63344e7 | − | 1.74306e7i | −0.522873 | − | 0.250836i | ||||
\(175\) | − | 1.81637e8i | − | 2.56195i | ||||||
\(176\) | 6.59478e6 | + | 554137.i | 0.0911814 | + | 0.00766167i | ||||
\(177\) | −9.04238e6 | + | 1.48440e6i | −0.122568 | + | 0.0201207i | ||||
\(178\) | −7.14005e7 | − | 4.99038e7i | −0.948923 | − | 0.663229i | ||||
\(179\) | 5.05679e7 | − | 5.05679e7i | 0.659006 | − | 0.659006i | −0.296139 | − | 0.955145i | \(-0.595699\pi\) |
0.955145 | + | 0.296139i | \(0.0956992\pi\) | |||||||
\(180\) | −1.63752e7 | + | 1.49364e8i | −0.209282 | + | 1.90894i | ||||
\(181\) | 5.43327e7 | + | 5.43327e7i | 0.681062 | + | 0.681062i | 0.960239 | − | 0.279178i | \(-0.0900619\pi\) |
−0.279178 | + | 0.960239i | \(0.590062\pi\) | |||||||
\(182\) | −6.46316e7 | + | 1.14536e7i | −0.794684 | + | 0.140828i | ||||
\(183\) | −4.35124e6 | − | 2.65061e7i | −0.0524849 | − | 0.319718i | ||||
\(184\) | −8.26385e7 | − | 2.19148e7i | −0.977958 | − | 0.259343i | ||||
\(185\) | 1.82717e7 | 0.212167 | ||||||||
\(186\) | 1.38781e7 | + | 3.94712e7i | 0.158138 | + | 0.449764i | ||||
\(187\) | −6.68935e6 | + | 6.68935e6i | −0.0748064 | + | 0.0748064i | ||||
\(188\) | 4.67014e7 | + | 1.27628e8i | 0.512599 | + | 1.40086i | ||||
\(189\) | −8.45865e7 | − | 2.59130e7i | −0.911349 | − | 0.279191i | ||||
\(190\) | 1.04442e8 | + | 7.29975e7i | 1.10468 | + | 0.772095i | ||||
\(191\) | 1.81090e8 | 1.88052 | 0.940260 | − | 0.340458i | \(-0.110582\pi\) | ||||
0.940260 | + | 0.340458i | \(0.110582\pi\) | |||||||
\(192\) | −8.91598e7 | + | 4.08542e7i | −0.909106 | + | 0.416565i | ||||
\(193\) | −9.72967e7 | −0.974199 | −0.487099 | − | 0.873347i | \(-0.661945\pi\) | ||||
−0.487099 | + | 0.873347i | \(0.661945\pi\) | |||||||
\(194\) | 4.58345e7 | + | 3.20350e7i | 0.450698 | + | 0.315006i | ||||
\(195\) | 1.36766e8 | + | 9.81948e7i | 1.32086 | + | 0.948347i | ||||
\(196\) | −3.31431e6 | − | 9.05754e6i | −0.0314410 | − | 0.0859239i | ||||
\(197\) | 1.00223e7 | − | 1.00223e7i | 0.0933974 | − | 0.0933974i | −0.658864 | − | 0.752262i | \(-0.728963\pi\) |
0.752262 | + | 0.658864i | \(0.228963\pi\) | |||||||
\(198\) | 8.76714e6 | − | 4.79873e6i | 0.0802656 | − | 0.0439337i | ||||
\(199\) | −1.42971e8 | −1.28607 | −0.643033 | − | 0.765838i | \(-0.722324\pi\) | ||||
−0.643033 | + | 0.765838i | \(0.722324\pi\) | |||||||
\(200\) | −2.93938e8 | − | 7.79489e7i | −2.59807 | − | 0.688977i | ||||
\(201\) | 5.48832e7 | − | 9.00964e6i | 0.476709 | − | 0.0782566i | ||||
\(202\) | −2.51272e7 | + | 4.45287e6i | −0.214494 | + | 0.0380111i | ||||
\(203\) | 4.65862e7 | + | 4.65862e7i | 0.390860 | + | 0.390860i | ||||
\(204\) | 3.76511e7 | − | 1.35042e8i | 0.310508 | − | 1.11369i | ||||
\(205\) | 2.66925e8 | − | 2.66925e8i | 2.16397 | − | 2.16397i | ||||
\(206\) | 1.64873e8 | + | 1.15234e8i | 1.31405 | + | 0.918429i | ||||
\(207\) | −1.22338e8 | + | 4.12784e7i | −0.958661 | + | 0.323465i | ||||
\(208\) | −9.20146e6 | + | 1.09506e8i | −0.0708982 | + | 0.843758i | ||||
\(209\) | − | 8.47561e6i | − | 0.0642183i | ||||||
\(210\) | 1.06252e8 | − | 2.21484e8i | 0.791713 | − | 1.65034i | ||||
\(211\) | 9.10976e7 | + | 9.10976e7i | 0.667603 | + | 0.667603i | 0.957161 | − | 0.289557i | \(-0.0935081\pi\) |
−0.289557 | + | 0.957161i | \(0.593508\pi\) | |||||||
\(212\) | 1.91865e8 | + | 8.90671e7i | 1.38299 | + | 0.642010i | ||||
\(213\) | 6.49083e7 | + | 4.66027e7i | 0.460227 | + | 0.330432i | ||||
\(214\) | 1.93715e7 | + | 1.09312e8i | 0.135118 | + | 0.762463i | ||||
\(215\) | 4.32464e8i | 2.96767i | ||||||||
\(216\) | −7.82342e7 | + | 1.25763e8i | −0.528212 | + | 0.849113i | ||||
\(217\) | − | 6.84018e7i | − | 0.454421i | ||||||
\(218\) | 3.96533e7 | − | 7.02708e6i | 0.259228 | − | 0.0459385i | ||||
\(219\) | −1.88675e7 | − | 1.35464e7i | −0.121384 | − | 0.0871507i | ||||
\(220\) | 9.53669e6 | + | 2.60624e7i | 0.0603835 | + | 0.165019i | ||||
\(221\) | −1.11077e8 | − | 1.11077e8i | −0.692230 | − | 0.692230i | ||||
\(222\) | 1.62386e7 | + | 7.79007e6i | 0.0996123 | + | 0.0477866i | ||||
\(223\) | 9.12546e7i | 0.551046i | 0.961294 | + | 0.275523i | \(0.0888510\pi\) | ||||
−0.961294 | + | 0.275523i | \(0.911149\pi\) | |||||||
\(224\) | 1.59665e8 | − | 1.46603e7i | 0.949162 | − | 0.0871512i | ||||
\(225\) | −4.35145e8 | + | 1.46824e8i | −2.54680 | + | 0.859324i | ||||
\(226\) | 1.25081e8 | − | 1.78961e8i | 0.720793 | − | 1.03128i | ||||
\(227\) | −4.22896e7 | + | 4.22896e7i | −0.239963 | + | 0.239963i | −0.816835 | − | 0.576872i | \(-0.804273\pi\) |
0.576872 | + | 0.816835i | \(0.304273\pi\) | |||||||
\(228\) | 6.16986e7 | + | 1.09404e8i | 0.344749 | + | 0.611308i | ||||
\(229\) | 819829. | + | 819829.i | 0.00451127 | + | 0.00451127i | 0.709359 | − | 0.704848i | \(-0.248985\pi\) |
−0.704848 | + | 0.709359i | \(0.748985\pi\) | |||||||
\(230\) | −6.25596e7 | − | 3.53019e8i | −0.339037 | − | 1.91316i | ||||
\(231\) | −1.61237e7 | + | 2.64687e6i | −0.0860643 | + | 0.0141283i | ||||
\(232\) | 9.53812e7 | − | 5.53967e7i | 0.501482 | − | 0.291257i | ||||
\(233\) | −2.91586e8 | −1.51016 | −0.755078 | − | 0.655635i | \(-0.772401\pi\) | ||||
−0.755078 | + | 0.655635i | \(0.772401\pi\) | |||||||
\(234\) | 7.96830e7 | + | 1.45578e8i | 0.406546 | + | 0.742748i | ||||
\(235\) | −4.02987e8 | + | 4.02987e8i | −2.02560 | + | 2.02560i | ||||
\(236\) | 1.05606e7 | − | 2.27492e7i | 0.0522992 | − | 0.112661i | ||||
\(237\) | −1.15951e7 | − | 8.32503e6i | −0.0565791 | − | 0.0406225i | ||||
\(238\) | −1.31299e8 | + | 1.87857e8i | −0.631308 | + | 0.903252i | ||||
\(239\) | 1.15744e8 | 0.548409 | 0.274205 | − | 0.961671i | \(-0.411585\pi\) | ||||
0.274205 | + | 0.961671i | \(0.411585\pi\) | |||||||
\(240\) | −3.12823e8 | − | 2.66992e8i | −1.46069 | − | 1.24669i | ||||
\(241\) | 2.04934e8 | 0.943093 | 0.471546 | − | 0.881841i | \(-0.343696\pi\) | ||||
0.471546 | + | 0.881841i | \(0.343696\pi\) | |||||||
\(242\) | −1.25245e8 | + | 1.79196e8i | −0.568076 | + | 0.812782i | ||||
\(243\) | 6.29482e6 | + | 2.23589e8i | 0.0281424 | + | 0.999604i | ||||
\(244\) | 6.66850e7 | + | 3.09564e7i | 0.293876 | + | 0.136422i | ||||
\(245\) | 2.85992e7 | − | 2.85992e7i | 0.124243 | − | 0.124243i | ||||
\(246\) | 3.51027e8 | − | 1.23422e8i | 1.50338 | − | 0.528589i | ||||
\(247\) | 1.40738e8 | 0.594252 | ||||||||
\(248\) | −1.10692e8 | − | 2.93544e7i | −0.460826 | − | 0.122206i | ||||
\(249\) | −4.01691e7 | − | 2.44695e8i | −0.164890 | − | 1.00445i | ||||
\(250\) | −1.39732e8 | − | 7.88500e8i | −0.565597 | − | 3.19162i | ||||
\(251\) | −2.65133e7 | − | 2.65133e7i | −0.105829 | − | 0.105829i | 0.652210 | − | 0.758039i | \(-0.273842\pi\) |
−0.758039 | + | 0.652210i | \(0.773842\pi\) | |||||||
\(252\) | 1.88858e8 | − | 1.51539e8i | 0.743418 | − | 0.596518i | ||||
\(253\) | −1.68624e7 | + | 1.68624e7i | −0.0654632 | + | 0.0654632i | ||||
\(254\) | −3.63262e7 | + | 5.19742e7i | −0.139092 | + | 0.199008i | ||||
\(255\) | 5.80128e8 | − | 9.52338e7i | 2.19095 | − | 0.359667i | ||||
\(256\) | 4.47952e7 | − | 2.64671e8i | 0.166875 | − | 0.985978i | ||||
\(257\) | − | 2.68830e8i | − | 0.987896i | −0.869492 | − | 0.493948i | \(-0.835553\pi\) | ||
0.869492 | − | 0.493948i | \(-0.164447\pi\) | |||||||
\(258\) | −1.84380e8 | + | 3.84344e8i | −0.668412 | + | 1.39332i | ||||
\(259\) | −2.08203e7 | − | 2.08203e7i | −0.0744626 | − | 0.0744626i | ||||
\(260\) | −4.32766e8 | + | 1.58357e8i | −1.52703 | + | 0.558766i | ||||
\(261\) | 7.39485e7 | − | 1.49263e8i | 0.257447 | − | 0.519649i | ||||
\(262\) | 3.96224e8 | − | 7.02160e7i | 1.36109 | − | 0.241202i | ||||
\(263\) | − | 5.79933e8i | − | 1.96577i | −0.184218 | − | 0.982885i | \(-0.558975\pi\) | ||
0.184218 | − | 0.982885i | \(-0.441025\pi\) | |||||||
\(264\) | −2.63608e6 | + | 2.72284e7i | −0.00881749 | + | 0.0910769i | ||||
\(265\) | 8.87045e8i | 2.92809i | ||||||||
\(266\) | −3.58307e7 | − | 2.02190e8i | −0.116727 | − | 0.658679i | ||||
\(267\) | 2.10005e8 | − | 2.92495e8i | 0.675211 | − | 0.940435i | ||||
\(268\) | −6.40979e7 | + | 1.38077e8i | −0.203410 | + | 0.438178i | ||||
\(269\) | 2.20500e8 | + | 2.20500e8i | 0.690677 | + | 0.690677i | 0.962381 | − | 0.271704i | \(-0.0875871\pi\) |
−0.271704 | + | 0.962381i | \(0.587587\pi\) | |||||||
\(270\) | −6.16492e8 | − | 7.55120e7i | −1.90614 | − | 0.233476i | ||||
\(271\) | − | 2.87271e8i | − | 0.876799i | −0.898780 | − | 0.438399i | \(-0.855546\pi\) | ||
0.898780 | − | 0.438399i | \(-0.144454\pi\) | |||||||
\(272\) | 2.47657e8 | + | 2.93095e8i | 0.746208 | + | 0.883114i | ||||
\(273\) | −4.39513e7 | − | 2.67734e8i | −0.130738 | − | 0.796407i | ||||
\(274\) | −1.77788e8 | − | 1.24261e8i | −0.522127 | − | 0.364929i | ||||
\(275\) | −5.99779e7 | + | 5.99779e7i | −0.173911 | + | 0.173911i | ||||
\(276\) | 9.49101e7 | − | 3.40411e8i | 0.271726 | − | 0.974590i | ||||
\(277\) | 4.76350e8 | + | 4.76350e8i | 1.34663 | + | 1.34663i | 0.889299 | + | 0.457326i | \(0.151193\pi\) |
0.457326 | + | 0.889299i | \(0.348807\pi\) | |||||||
\(278\) | 2.51854e8 | − | 4.46319e7i | 0.703060 | − | 0.124591i | ||||
\(279\) | −1.63869e8 | + | 5.52915e7i | −0.451733 | + | 0.152421i | ||||
\(280\) | 3.37682e8 | + | 5.81416e8i | 0.919294 | + | 1.58283i | ||||
\(281\) | −3.31808e8 | −0.892104 | −0.446052 | − | 0.895007i | \(-0.647170\pi\) | ||||
−0.446052 | + | 0.895007i | \(0.647170\pi\) | |||||||
\(282\) | −5.29959e8 | + | 1.86335e8i | −1.40725 | + | 0.494791i | ||||
\(283\) | −5.55023e7 | + | 5.55023e7i | −0.145566 | + | 0.145566i | −0.776134 | − | 0.630568i | \(-0.782822\pi\) |
0.630568 | + | 0.776134i | \(0.282822\pi\) | |||||||
\(284\) | −2.05388e8 | + | 7.51552e7i | −0.532061 | + | 0.194691i | ||||
\(285\) | −3.07187e8 | + | 4.27852e8i | −0.786043 | + | 1.09480i | ||||
\(286\) | 2.51239e7 | + | 1.75598e7i | 0.0635046 | + | 0.0443851i | ||||
\(287\) | −6.08314e8 | −1.51894 | ||||||||
\(288\) | −1.64184e8 | − | 3.70655e8i | −0.405001 | − | 0.914316i | ||||
\(289\) | −1.38168e8 | −0.336717 | ||||||||
\(290\) | 3.79122e8 | + | 2.64979e8i | 0.912821 | + | 0.637996i | ||||
\(291\) | −1.34809e8 | + | 1.87763e8i | −0.320696 | + | 0.446667i | ||||
\(292\) | 5.97022e7 | − | 2.18461e7i | 0.140330 | − | 0.0513492i | ||||
\(293\) | 1.49536e8 | − | 1.49536e8i | 0.347303 | − | 0.347303i | −0.511801 | − | 0.859104i | \(-0.671021\pi\) |
0.859104 | + | 0.511801i | \(0.171021\pi\) | |||||||
\(294\) | 3.76102e7 | − | 1.32238e7i | 0.0863157 | − | 0.0303487i | ||||
\(295\) | 1.05176e8 | 0.238527 | ||||||||
\(296\) | −4.26278e7 | + | 2.47579e7i | −0.0955371 | + | 0.0554872i | ||||
\(297\) | 1.93744e7 | + | 3.64877e7i | 0.0429122 | + | 0.0808164i | ||||
\(298\) | 4.83108e8 | − | 8.56130e7i | 1.05752 | − | 0.187406i | ||||
\(299\) | −2.80000e8 | − | 2.80000e8i | −0.605771 | − | 0.605771i | ||||
\(300\) | 3.37586e8 | − | 1.21081e9i | 0.721873 | − | 2.58912i | ||||
\(301\) | 4.92787e8 | − | 4.92787e8i | 1.04154 | − | 1.04154i | ||||
\(302\) | 2.92692e8 | + | 2.04571e8i | 0.611486 | + | 0.427385i | ||||
\(303\) | −1.70872e7 | − | 1.04089e8i | −0.0352877 | − | 0.214959i | ||||
\(304\) | −3.42574e8 | − | 2.87854e7i | −0.699354 | − | 0.0587644i | ||||
\(305\) | 3.08303e8i | 0.622198i | ||||||||
\(306\) | 5.56180e8 | + | 1.62699e8i | 1.10966 | + | 0.324608i | ||||
\(307\) | −2.60008e8 | − | 2.60008e8i | −0.512865 | − | 0.512865i | 0.402538 | − | 0.915403i | \(-0.368128\pi\) |
−0.915403 | + | 0.402538i | \(0.868128\pi\) | |||||||
\(308\) | 1.88308e7 | − | 4.05647e7i | 0.0367233 | − | 0.0791080i | ||||
\(309\) | −4.84927e8 | + | 6.75407e8i | −0.935021 | + | 1.30230i | ||||
\(310\) | −8.37973e7 | − | 4.72862e8i | −0.159758 | − | 0.901505i | ||||
\(311\) | − | 4.12887e8i | − | 0.778340i | −0.921166 | − | 0.389170i | \(-0.872762\pi\) | ||
0.921166 | − | 0.389170i | \(-0.127238\pi\) | |||||||
\(312\) | −4.52128e8 | − | 4.37722e7i | −0.842791 | − | 0.0815938i | ||||
\(313\) | − | 8.30539e8i | − | 1.53093i | −0.643479 | − | 0.765464i | \(-0.722509\pi\) | ||
0.643479 | − | 0.765464i | \(-0.277491\pi\) | |||||||
\(314\) | −2.30562e8 | + | 4.08587e7i | −0.420276 | + | 0.0744784i | ||||
\(315\) | 9.09863e8 | + | 4.50768e8i | 1.64017 | + | 0.812580i | ||||
\(316\) | 3.66903e7 | − | 1.34256e7i | 0.0654104 | − | 0.0239348i | ||||
\(317\) | 2.06944e8 | + | 2.06944e8i | 0.364875 | + | 0.364875i | 0.865604 | − | 0.500729i | \(-0.166935\pi\) |
−0.500729 | + | 0.865604i | \(0.666935\pi\) | |||||||
\(318\) | −3.78189e8 | + | 7.88344e8i | −0.659499 | + | 1.37474i | ||||
\(319\) | − | 3.07662e7i | − | 0.0530648i | ||||||
\(320\) | 1.08580e9 | − | 2.96947e8i | 1.85236 | − | 0.506587i | ||||
\(321\) | −4.52821e8 | + | 7.43351e7i | −0.764115 | + | 0.125437i | ||||
\(322\) | −3.30975e8 | + | 4.73546e8i | −0.552458 | + | 0.790437i | ||||
\(323\) | 3.47487e8 | − | 3.47487e8i | 0.573759 | − | 0.573759i | ||||
\(324\) | −5.15700e8 | − | 3.29949e8i | −0.842345 | − | 0.538939i | ||||
\(325\) | −9.95934e8 | − | 9.95934e8i | −1.60931 | − | 1.60931i | ||||
\(326\) | 3.26166e7 | + | 1.84053e8i | 0.0521407 | + | 0.294226i | ||||
\(327\) | 2.69654e7 | + | 1.64263e8i | 0.0426471 | + | 0.259789i | ||||
\(328\) | −2.61056e8 | + | 9.84416e8i | −0.408484 | + | 1.54035i | ||||
\(329\) | 9.18396e8 | 1.42182 | ||||||||
\(330\) | −1.08221e8 | + | 3.80505e7i | −0.165772 | + | 0.0582857i | ||||
\(331\) | 1.04208e8 | − | 1.04208e8i | 0.157944 | − | 0.157944i | −0.623711 | − | 0.781655i | \(-0.714376\pi\) |
0.781655 | + | 0.623711i | \(0.214376\pi\) | |||||||
\(332\) | 6.15613e8 | + | 2.85778e8i | 0.923261 | + | 0.428594i | ||||
\(333\) | −3.30491e7 | + | 6.67087e7i | −0.0490461 | + | 0.0989982i | ||||
\(334\) | 1.29259e8 | − | 1.84940e8i | 0.189823 | − | 0.271592i | ||||
\(335\) | −6.38370e8 | −0.927717 | ||||||||
\(336\) | 5.22231e7 | + | 6.60691e8i | 0.0751061 | + | 0.950191i | ||||
\(337\) | 1.19265e9 | 1.69749 | 0.848746 | − | 0.528800i | \(-0.177358\pi\) | ||||
0.848746 | + | 0.528800i | \(0.177358\pi\) | |||||||
\(338\) | 1.15113e8 | − | 1.64699e8i | 0.162149 | − | 0.231997i | ||||
\(339\) | 7.33120e8 | + | 5.26363e8i | 1.02206 | + | 0.733815i | ||||
\(340\) | −6.77529e8 | + | 1.45951e9i | −0.934871 | + | 2.01386i | ||||
\(341\) | −2.25868e7 | + | 2.25868e7i | −0.0308471 | + | 0.0308471i | ||||
\(342\) | −4.55420e8 | + | 2.49276e8i | −0.615631 | + | 0.336969i | ||||
\(343\) | −7.77526e8 | −1.04036 | ||||||||
\(344\) | −5.85984e8 | − | 1.00894e9i | −0.776124 | − | 1.33632i | ||||
\(345\) | 1.46237e9 | − | 2.40063e8i | 1.91731 | − | 0.314745i | ||||
\(346\) | 1.06164e8 | + | 5.99078e8i | 0.137788 | + | 0.777530i | ||||
\(347\) | −3.77988e8 | − | 3.77988e8i | −0.485652 | − | 0.485652i | 0.421279 | − | 0.906931i | \(-0.361581\pi\) |
−0.906931 | + | 0.421279i | \(0.861581\pi\) | |||||||
\(348\) | 2.23964e8 | + | 3.97132e8i | 0.284873 | + | 0.505135i | ||||
\(349\) | −3.18472e8 | + | 3.18472e8i | −0.401035 | + | 0.401035i | −0.878598 | − | 0.477562i | \(-0.841520\pi\) |
0.477562 | + | 0.878598i | \(0.341520\pi\) | |||||||
\(350\) | −1.17725e9 | + | 1.68436e9i | −1.46767 | + | 2.09989i | ||||
\(351\) | −6.05879e8 | + | 3.21712e8i | −0.747844 | + | 0.397093i | ||||
\(352\) | −5.75633e7 | − | 4.78815e7i | −0.0703472 | − | 0.0585151i | ||||
\(353\) | 2.24711e8i | 0.271902i | 0.990716 | + | 0.135951i | \(0.0434090\pi\) | ||||
−0.990716 | + | 0.135951i | \(0.956591\pi\) | |||||||
\(354\) | 9.34728e7 | + | 4.48413e7i | 0.111989 | + | 0.0537238i | ||||
\(355\) | −6.48515e8 | − | 6.48515e8i | −0.769345 | − | 0.769345i | ||||
\(356\) | 3.38670e8 | + | 9.25537e8i | 0.397834 | + | 1.08722i | ||||
\(357\) | −7.69565e8 | − | 5.52530e8i | −0.895172 | − | 0.642713i | ||||
\(358\) | −7.96673e8 | + | 1.41181e8i | −0.917676 | + | 0.162624i | ||||
\(359\) | 7.52967e8i | 0.858905i | 0.903089 | + | 0.429452i | \(0.141293\pi\) | ||||
−0.903089 | + | 0.429452i | \(0.858707\pi\) | |||||||
\(360\) | 1.11993e9 | − | 1.27896e9i | 1.26512 | − | 1.44476i | ||||
\(361\) | − | 4.53595e8i | − | 0.507450i | ||||||
\(362\) | −1.51692e8 | − | 8.55987e8i | −0.168067 | − | 0.948390i | ||||
\(363\) | −7.34083e8 | − | 5.27054e8i | −0.805512 | − | 0.578339i | ||||
\(364\) | 6.73577e8 | + | 3.12686e8i | 0.732036 | + | 0.339824i | ||||
\(365\) | 1.88510e8 | + | 1.88510e8i | 0.202913 | + | 0.202913i | ||||
\(366\) | −1.31444e8 | + | 2.73998e8i | −0.140139 | + | 0.292122i | ||||
\(367\) | 6.85984e7i | 0.0724407i | 0.999344 | + | 0.0362204i | \(0.0115318\pi\) | ||||
−0.999344 | + | 0.0362204i | \(0.988468\pi\) | |||||||
\(368\) | 6.24289e8 | + | 7.38827e8i | 0.653007 | + | 0.772814i | ||||
\(369\) | 4.91721e8 | + | 1.45733e9i | 0.509480 | + | 1.50996i | ||||
\(370\) | −1.69437e8 | − | 1.18424e8i | −0.173901 | − | 0.121544i | ||||
\(371\) | 1.01078e9 | − | 1.01078e9i | 1.02765 | − | 1.02765i | ||||
\(372\) | 1.27130e8 | − | 4.55973e8i | 0.128041 | − | 0.459239i | ||||
\(373\) | 1.01373e9 | + | 1.01373e9i | 1.01145 | + | 1.01145i | 0.999934 | + | 0.0115128i | \(0.00366470\pi\) |
0.0115128 | + | 0.999934i | \(0.496335\pi\) | |||||||
\(374\) | 1.05388e8 | − | 1.86761e7i | 0.104169 | − | 0.0184601i | ||||
\(375\) | 3.26634e9 | − | 5.36202e8i | 3.19854 | − | 0.525073i | ||||
\(376\) | 3.94126e8 | − | 1.48621e9i | 0.382365 | − | 1.44186i | ||||
\(377\) | 5.10873e8 | 0.491042 | ||||||||
\(378\) | 6.16439e8 | + | 7.88528e8i | 0.587041 | + | 0.750924i | ||||
\(379\) | 1.88686e8 | − | 1.88686e8i | 0.178034 | − | 0.178034i | −0.612464 | − | 0.790498i | \(-0.709822\pi\) |
0.790498 | + | 0.612464i | \(0.209822\pi\) | |||||||
\(380\) | −4.95395e8 | − | 1.35384e9i | −0.463137 | − | 1.26569i | ||||
\(381\) | −2.12915e8 | − | 1.52868e8i | −0.197228 | − | 0.141605i | ||||
\(382\) | −1.67929e9 | − | 1.17370e9i | −1.54136 | − | 1.07730i | ||||
\(383\) | −1.62776e9 | −1.48045 | −0.740227 | − | 0.672357i | \(-0.765282\pi\) | ||||
−0.740227 | + | 0.672357i | \(0.765282\pi\) | |||||||
\(384\) | 1.09159e9 | + | 1.99022e8i | 0.983782 | + | 0.179367i | ||||
\(385\) | 1.87542e8 | 0.167489 | ||||||||
\(386\) | 9.02254e8 | + | 6.30610e8i | 0.798497 | + | 0.558092i | ||||
\(387\) | −1.57890e9 | − | 7.82225e8i | −1.38473 | − | 0.686030i | ||||
\(388\) | −2.17404e8 | − | 5.94135e8i | −0.188954 | − | 0.516385i | ||||
\(389\) | −5.29200e8 | + | 5.29200e8i | −0.455823 | + | 0.455823i | −0.897282 | − | 0.441459i | \(-0.854461\pi\) |
0.441459 | + | 0.897282i | \(0.354461\pi\) | |||||||
\(390\) | −6.31830e8 | − | 1.79700e9i | −0.539354 | − | 1.53399i | ||||
\(391\) | −1.38266e9 | −1.16976 | ||||||||
\(392\) | −2.79704e7 | + | 1.05474e8i | −0.0234529 | + | 0.0884387i | ||||
\(393\) | 2.69443e8 | + | 1.64135e9i | 0.223920 | + | 1.36404i | ||||
\(394\) | −1.57896e8 | + | 2.79813e7i | −0.130058 | + | 0.0230479i | ||||
\(395\) | 1.15850e8 | + | 1.15850e8i | 0.0945814 | + | 0.0945814i | ||||
\(396\) | −1.12402e8 | − | 1.23229e7i | −0.0909577 | − | 0.00997190i | ||||
\(397\) | −6.11235e8 | + | 6.11235e8i | −0.490277 | + | 0.490277i | −0.908393 | − | 0.418117i | \(-0.862690\pi\) |
0.418117 | + | 0.908393i | \(0.362690\pi\) | |||||||
\(398\) | 1.32580e9 | + | 9.26642e8i | 1.05412 | + | 0.736752i | ||||
\(399\) | 8.37567e8 | − | 1.37495e8i | 0.660107 | − | 0.108363i | ||||
\(400\) | 2.22054e9 | + | 2.62794e9i | 1.73479 | + | 2.05308i | ||||
\(401\) | − | 2.13943e9i | − | 1.65689i | −0.560073 | − | 0.828443i | \(-0.689227\pi\) | ||
0.560073 | − | 0.828443i | \(-0.310773\pi\) | |||||||
\(402\) | −5.67338e8 | − | 2.72167e8i | −0.435563 | − | 0.208951i | ||||
\(403\) | −3.75054e8 | − | 3.75054e8i | −0.285447 | − | 0.285447i | ||||
\(404\) | 2.61871e8 | + | 1.21565e8i | 0.197584 | + | 0.0917221i | ||||
\(405\) | 3.44424e8 | − | 2.54411e9i | 0.257633 | − | 1.90302i | ||||
\(406\) | −1.30064e8 | − | 7.33944e8i | −0.0964533 | − | 0.544279i | ||||
\(407\) | 1.37500e7i | 0.0101094i | ||||||||
\(408\) | −1.22440e9 | + | 1.00825e9i | −0.892507 | + | 0.734947i | ||||
\(409\) | − | 2.76146e8i | − | 0.199576i | −0.995009 | − | 0.0997878i | \(-0.968184\pi\) | ||
0.995009 | − | 0.0997878i | \(-0.0318164\pi\) | |||||||
\(410\) | −4.20528e9 | + | 7.45230e8i | −3.01336 | + | 0.534007i | ||||
\(411\) | 5.22914e8 | − | 7.28317e8i | 0.371522 | − | 0.517456i | ||||
\(412\) | −7.82032e8 | − | 2.13718e9i | −0.550914 | − | 1.50557i | ||||
\(413\) | −1.19846e8 | − | 1.19846e8i | −0.0837142 | − | 0.0837142i | ||||
\(414\) | 1.40201e9 | + | 4.10127e8i | 0.971065 | + | 0.284064i | ||||
\(415\) | 2.84615e9i | 1.95474i | ||||||||
\(416\) | 7.95072e8 | − | 9.55840e8i | 0.541477 | − | 0.650966i | ||||
\(417\) | 1.71268e8 | + | 1.04330e9i | 0.115665 | + | 0.704584i | ||||
\(418\) | −5.49331e7 | + | 7.85962e7i | −0.0367889 | + | 0.0526362i | ||||
\(419\) | −1.35442e8 | + | 1.35442e8i | −0.0899507 | + | 0.0899507i | −0.750650 | − | 0.660700i | \(-0.770260\pi\) |
0.660700 | + | 0.750650i | \(0.270260\pi\) | |||||||
\(420\) | −2.42080e9 | + | 1.36522e9i | −1.59436 | + | 0.899145i | ||||
\(421\) | −1.22939e8 | − | 1.22939e8i | −0.0802973 | − | 0.0802973i | 0.665817 | − | 0.746115i | \(-0.268083\pi\) |
−0.746115 | + | 0.665817i | \(0.768083\pi\) | |||||||
\(422\) | −2.54336e8 | − | 1.43520e9i | −0.164746 | − | 0.929649i | ||||
\(423\) | −7.42371e8 | − | 2.20019e9i | −0.476903 | − | 1.41341i | ||||
\(424\) | −1.20194e9 | − | 2.06948e9i | −0.765774 | − | 1.31850i | ||||
\(425\) | −4.91800e9 | −3.10762 | ||||||||
\(426\) | −2.99863e8 | − | 8.52848e8i | −0.187927 | − | 0.534488i | ||||
\(427\) | 3.51307e8 | − | 3.51307e8i | 0.218368 | − | 0.218368i | ||||
\(428\) | 5.28848e8 | − | 1.13922e9i | 0.326045 | − | 0.702354i | ||||
\(429\) | −7.38948e7 | + | 1.02921e8i | −0.0451870 | + | 0.0629366i | ||||
\(430\) | 2.80294e9 | − | 4.01034e9i | 1.70010 | − | 2.43243i | ||||
\(431\) | 2.41161e9 | 1.45090 | 0.725450 | − | 0.688275i | \(-0.241632\pi\) | ||||
0.725450 | + | 0.688275i | \(0.241632\pi\) | |||||||
\(432\) | 1.54059e9 | − | 6.59169e8i | 0.919379 | − | 0.393372i | ||||
\(433\) | 1.89903e9 | 1.12415 | 0.562073 | − | 0.827087i | \(-0.310004\pi\) | ||||
0.562073 | + | 0.827087i | \(0.310004\pi\) | |||||||
\(434\) | −4.43334e8 | + | 6.34305e8i | −0.260325 | + | 0.372464i | ||||
\(435\) | −1.11508e9 | + | 1.55309e9i | −0.649522 | + | 0.904656i | ||||
\(436\) | −4.13258e8 | − | 1.91842e8i | −0.238791 | − | 0.110851i | ||||
\(437\) | 8.75937e8 | − | 8.75937e8i | 0.502097 | − | 0.502097i | ||||
\(438\) | 8.71639e7 | + | 2.47905e8i | 0.0495653 | + | 0.140970i | ||||
\(439\) | −5.16004e8 | −0.291090 | −0.145545 | − | 0.989352i | \(-0.546494\pi\) | ||||
−0.145545 | + | 0.989352i | \(0.546494\pi\) | |||||||
\(440\) | 8.04827e7 | − | 3.03493e8i | 0.0450421 | − | 0.169849i | ||||
\(441\) | 5.26847e7 | + | 1.56143e8i | 0.0292516 | + | 0.0866937i | ||||
\(442\) | 3.10116e8 | + | 1.74996e9i | 0.170823 | + | 0.963942i | ||||
\(443\) | −4.70668e8 | − | 4.70668e8i | −0.257218 | − | 0.257218i | 0.566703 | − | 0.823922i | \(-0.308219\pi\) |
−0.823922 | + | 0.566703i | \(0.808219\pi\) | |||||||
\(444\) | −1.00094e8 | − | 1.77486e8i | −0.0542710 | − | 0.0962332i | ||||
\(445\) | −2.92239e9 | + | 2.92239e9i | −1.57209 | + | 1.57209i | ||||
\(446\) | 5.91450e8 | − | 8.46224e8i | 0.315679 | − | 0.451662i | ||||
\(447\) | 3.28527e8 | + | 2.00126e9i | 0.173978 | + | 1.05981i | ||||
\(448\) | −1.57562e9 | − | 8.98888e8i | −0.827902 | − | 0.472316i | ||||
\(449\) | 4.79872e8i | 0.250186i | 0.992145 | + | 0.125093i | \(0.0399230\pi\) | ||||
−0.992145 | + | 0.125093i | \(0.960077\pi\) | |||||||
\(450\) | 4.98680e9 | + | 1.45878e9i | 2.57975 | + | 0.754652i | ||||
\(451\) | 2.00870e8 | + | 2.00870e8i | 0.103109 | + | 0.103109i | ||||
\(452\) | −2.31980e9 | + | 8.48856e8i | −1.18159 | + | 0.432364i | ||||
\(453\) | −8.60872e8 | + | 1.19902e9i | −0.435106 | + | 0.606016i | ||||
\(454\) | 6.66254e8 | − | 1.18069e8i | 0.334152 | − | 0.0592161i | ||||
\(455\) | 3.11413e9i | 1.54988i | ||||||||
\(456\) | 1.36935e8 | − | 1.41441e9i | 0.0676295 | − | 0.698553i | ||||
\(457\) | − | 1.91025e9i | − | 0.936233i | −0.883667 | − | 0.468116i | \(-0.844933\pi\) | ||
0.883667 | − | 0.468116i | \(-0.155067\pi\) | |||||||
\(458\) | −2.28889e6 | − | 1.29160e7i | −0.00111326 | − | 0.00628202i | ||||
\(459\) | −7.01620e8 | + | 2.29026e9i | −0.338655 | + | 1.10545i | ||||
\(460\) | −1.70790e9 | + | 3.67910e9i | −0.818107 | + | 1.76234i | ||||
\(461\) | 1.37257e9 | + | 1.37257e9i | 0.652503 | + | 0.652503i | 0.953595 | − | 0.301092i | \(-0.0973511\pi\) |
−0.301092 | + | 0.953595i | \(0.597351\pi\) | |||||||
\(462\) | 1.66674e8 | + | 7.99578e7i | 0.0786359 | + | 0.0377237i | ||||
\(463\) | 2.30752e9i | 1.08047i | 0.841515 | + | 0.540234i | \(0.181664\pi\) | ||||
−0.841515 | + | 0.540234i | \(0.818336\pi\) | |||||||
\(464\) | −1.24353e9 | − | 1.04490e8i | −0.577890 | − | 0.0485581i | ||||
\(465\) | 1.95882e9 | − | 3.21559e8i | 0.903459 | − | 0.148312i | ||||
\(466\) | 2.70395e9 | + | 1.88986e9i | 1.23779 | + | 0.865126i | ||||
\(467\) | −1.54704e9 | + | 1.54704e9i | −0.702899 | + | 0.702899i | −0.965032 | − | 0.262133i | \(-0.915574\pi\) |
0.262133 | + | 0.965032i | \(0.415574\pi\) | |||||||
\(468\) | 2.04621e8 | − | 1.86643e9i | 0.0922763 | − | 0.841688i | ||||
\(469\) | 7.27413e8 | + | 7.27413e8i | 0.325594 | + | 0.325594i | ||||
\(470\) | 6.34887e9 | − | 1.12510e9i | 2.82068 | − | 0.499862i | ||||
\(471\) | −1.56789e8 | − | 9.55098e8i | −0.0691421 | − | 0.421187i | ||||
\(472\) | −2.45375e8 | + | 1.42512e8i | −0.107407 | + | 0.0623812i | ||||
\(473\) | −3.25444e8 | −0.141404 | ||||||||
\(474\) | 5.35670e7 | + | 1.52352e8i | 0.0231033 | + | 0.0657087i | ||||
\(475\) | 3.11563e9 | − | 3.11563e9i | 1.33388 | − | 1.33388i | ||||
\(476\) | 2.43512e9 | − | 8.91054e8i | 1.03490 | − | 0.378686i | ||||
\(477\) | −3.23854e9 | − | 1.60445e9i | −1.36627 | − | 0.676881i | ||||
\(478\) | −1.07332e9 | − | 7.50171e8i | −0.449501 | − | 0.314169i | ||||
\(479\) | 2.40866e9 | 1.00138 | 0.500692 | − | 0.865626i | \(-0.333079\pi\) | ||||
0.500692 | + | 0.865626i | \(0.333079\pi\) | |||||||
\(480\) | 1.17041e9 | + | 4.50338e9i | 0.483053 | + | 1.85864i | ||||
\(481\) | −2.28320e8 | −0.0935482 | ||||||||
\(482\) | −1.90040e9 | − | 1.32824e9i | −0.773001 | − | 0.540272i | ||||
\(483\) | −1.93990e9 | − | 1.39280e9i | −0.783366 | − | 0.562439i | ||||
\(484\) | 2.32285e9 | − | 8.49970e8i | 0.931241 | − | 0.340757i | ||||
\(485\) | 1.87598e9 | − | 1.87598e9i | 0.746678 | − | 0.746678i | ||||
\(486\) | 1.39077e9 | − | 2.11419e9i | 0.549579 | − | 0.835442i | ||||
\(487\) | 1.13646e9 | 0.445866 | 0.222933 | − | 0.974834i | \(-0.428437\pi\) | ||||
0.222933 | + | 0.974834i | \(0.428437\pi\) | |||||||
\(488\) | −4.17747e8 | − | 7.19272e8i | −0.162721 | − | 0.280171i | ||||
\(489\) | −7.62434e8 | + | 1.25161e8i | −0.294864 | + | 0.0484048i | ||||
\(490\) | −4.50567e8 | + | 7.98464e7i | −0.173011 | + | 0.0306598i | ||||
\(491\) | 1.76149e9 | + | 1.76149e9i | 0.671575 | + | 0.671575i | 0.958079 | − | 0.286504i | \(-0.0924933\pi\) |
−0.286504 | + | 0.958079i | \(0.592493\pi\) | |||||||
\(492\) | −4.05508e9 | − | 1.13060e9i | −1.53505 | − | 0.427987i | ||||
\(493\) | 1.26137e9 | − | 1.26137e9i | 0.474108 | − | 0.474108i | ||||
\(494\) | −1.30509e9 | − | 9.12164e8i | −0.487076 | − | 0.340431i | ||||
\(495\) | −1.51596e8 | − | 4.49290e8i | −0.0561785 | − | 0.166498i | ||||
\(496\) | 8.36221e8 | + | 9.89642e8i | 0.307705 | + | 0.364160i | ||||
\(497\) | 1.47795e9i | 0.540022i | ||||||||
\(498\) | −1.21345e9 | + | 2.52946e9i | −0.440269 | + | 0.917751i | ||||
\(499\) | −1.04410e9 | − | 1.04410e9i | −0.376174 | − | 0.376174i | 0.493546 | − | 0.869720i | \(-0.335700\pi\) |
−0.869720 | + | 0.493546i | \(0.835700\pi\) | |||||||
\(500\) | −3.81474e9 | + | 8.21758e9i | −1.36480 | + | 2.94001i | ||||
\(501\) | 7.57613e8 | + | 5.43948e8i | 0.269163 | + | 0.193253i | ||||
\(502\) | 7.40226e7 | + | 4.17704e8i | 0.0261157 | + | 0.147369i | ||||
\(503\) | 3.69751e9i | 1.29545i | 0.761873 | + | 0.647726i | \(0.224280\pi\) | ||||
−0.761873 | + | 0.647726i | \(0.775720\pi\) | |||||||
\(504\) | −2.73349e9 | + | 1.81211e8i | −0.951067 | + | 0.0630489i | ||||
\(505\) | 1.21070e9i | 0.418328i | ||||||||
\(506\) | 2.65659e8 | − | 4.70782e7i | 0.0911586 | − | 0.0161545i | ||||
\(507\) | 6.74696e8 | + | 4.84416e8i | 0.229922 | + | 0.165078i | ||||
\(508\) | 6.73722e8 | − | 2.46527e8i | 0.228012 | − | 0.0834336i | ||||
\(509\) | 1.43787e9 | + | 1.43787e9i | 0.483288 | + | 0.483288i | 0.906180 | − | 0.422892i | \(-0.138985\pi\) |
−0.422892 | + | 0.906180i | \(0.638985\pi\) | |||||||
\(510\) | −5.99689e9 | − | 2.87686e9i | −2.00185 | − | 0.960337i | ||||
\(511\) | − | 4.29609e8i | − | 0.142430i | ||||||
\(512\) | −2.13081e9 | + | 2.16403e9i | −0.701618 | + | 0.712553i | ||||
\(513\) | −1.00643e9 | − | 1.89540e9i | −0.329133 | − | 0.619856i | ||||
\(514\) | −1.74237e9 | + | 2.49292e9i | −0.565938 | + | 0.809723i | ||||
\(515\) | 6.74816e9 | − | 6.74816e9i | 2.17701 | − | 2.17701i | ||||
\(516\) | 4.20085e9 | − | 2.36908e9i | 1.34606 | − | 0.759113i | ||||
\(517\) | −3.03261e8 | − | 3.03261e8i | −0.0965161 | − | 0.0965161i | ||||
\(518\) | 5.81284e7 | + | 3.28014e8i | 0.0183753 | + | 0.103690i | ||||
\(519\) | −2.48167e9 | + | 4.07390e8i | −0.779215 | + | 0.127916i | ||||
\(520\) | 5.03950e9 | + | 1.33642e9i | 1.57172 | + | 0.416802i | ||||
\(521\) | 3.74977e9 | 1.16164 | 0.580821 | − | 0.814031i | \(-0.302731\pi\) | ||||
0.580821 | + | 0.814031i | \(0.302731\pi\) | |||||||
\(522\) | −1.65316e9 | + | 9.04865e8i | −0.508708 | + | 0.278443i | ||||
\(523\) | −1.96251e9 | + | 1.96251e9i | −0.599868 | + | 0.599868i | −0.940277 | − | 0.340409i | \(-0.889434\pi\) |
0.340409 | + | 0.940277i | \(0.389434\pi\) | |||||||
\(524\) | −4.12936e9 | − | 1.91692e9i | −1.25379 | − | 0.582029i | ||||
\(525\) | −6.90005e9 | − | 4.95408e9i | −2.08111 | − | 1.49419i | ||||
\(526\) | −3.75873e9 | + | 5.37785e9i | −1.12614 | + | 1.61123i | ||||
\(527\) | −1.85205e9 | −0.551207 | ||||||||
\(528\) | 2.00921e8 | − | 2.35409e8i | 0.0594026 | − | 0.0695994i | ||||
\(529\) | −8.05605e7 | −0.0236607 | ||||||||
\(530\) | 5.74921e9 | − | 8.22576e9i | 1.67742 | − | 2.40000i | ||||
\(531\) | −1.90238e8 | + | 3.83989e8i | −0.0551399 | + | 0.111298i | ||||
\(532\) | −9.78191e8 | + | 2.10718e9i | −0.281665 | + | 0.606752i | ||||
\(533\) | −3.33545e9 | + | 3.33545e9i | −0.954133 | + | 0.954133i | ||||
\(534\) | −3.84317e9 | + | 1.35126e9i | −1.09218 | + | 0.384013i | ||||
\(535\) | 5.26695e9 | 1.48703 | ||||||||
\(536\) | 1.48932e9 | − | 8.64983e8i | 0.417744 | − | 0.242622i | ||||
\(537\) | −5.41760e8 | − | 3.30020e9i | −0.150972 | − | 0.919665i | ||||
\(538\) | −6.15615e8 | − | 3.47387e9i | −0.170440 | − | 0.961780i | ||||
\(539\) | 2.15219e7 | + | 2.15219e7i | 0.00591997 | + | 0.00591997i | ||||
\(540\) | 5.22745e9 | + | 4.69591e9i | 1.42860 | + | 1.28334i | ||||
\(541\) | 1.72885e9 | − | 1.72885e9i | 0.469426 | − | 0.469426i | −0.432303 | − | 0.901728i | \(-0.642299\pi\) |
0.901728 | + | 0.432303i | \(0.142299\pi\) | |||||||
\(542\) | −1.86190e9 | + | 2.66393e9i | −0.502294 | + | 0.718663i | ||||
\(543\) | 3.54590e9 | − | 5.82095e8i | 0.950445 | − | 0.156025i | ||||
\(544\) | −3.96941e8 | − | 4.32308e9i | −0.105713 | − | 1.15132i | ||||
\(545\) | − | 1.91061e9i | − | 0.505573i | ||||||
\(546\) | −1.32770e9 | + | 2.76762e9i | −0.349081 | + | 0.727667i | ||||
\(547\) | −7.94068e8 | − | 7.94068e8i | −0.207445 | − | 0.207445i | 0.595736 | − | 0.803180i | \(-0.296861\pi\) |
−0.803180 | + | 0.595736i | \(0.796861\pi\) | |||||||
\(548\) | 8.43294e8 | + | 2.30460e9i | 0.218901 | + | 0.598224i | ||||
\(549\) | −1.12559e9 | − | 5.57647e8i | −0.290321 | − | 0.143832i | ||||
\(550\) | 9.44924e8 | − | 1.67453e8i | 0.242174 | − | 0.0429164i | ||||
\(551\) | 1.59819e9i | 0.407003i | ||||||||
\(552\) | −3.08643e9 | + | 2.54157e9i | −0.781034 | + | 0.643153i | ||||
\(553\) | − | 2.64019e8i | − | 0.0663891i | ||||||
\(554\) | −1.32992e9 | − | 7.50467e9i | −0.332310 | − | 1.87520i | ||||
\(555\) | 4.98352e8 | − | 6.94107e8i | 0.123740 | − | 0.172346i | ||||
\(556\) | −2.62477e9 | − | 1.21847e9i | −0.647635 | − | 0.300643i | ||||
\(557\) | −1.24382e9 | − | 1.24382e9i | −0.304974 | − | 0.304974i | 0.537982 | − | 0.842956i | \(-0.319187\pi\) |
−0.842956 | + | 0.537982i | \(0.819187\pi\) | |||||||
\(558\) | 1.87796e9 | + | 5.49356e8i | 0.457578 | + | 0.133855i | ||||
\(559\) | − | 5.40400e9i | − | 1.30850i | ||||||
\(560\) | 6.36940e8 | − | 7.58021e9i | 0.153264 | − | 1.82399i | ||||
\(561\) | 7.16666e7 | + | 4.36565e8i | 0.0171375 | + | 0.104395i | ||||
\(562\) | 3.07693e9 | + | 2.15055e9i | 0.731208 | + | 0.511062i | ||||
\(563\) | −1.51669e9 | + | 1.51669e9i | −0.358194 | + | 0.358194i | −0.863147 | − | 0.504953i | \(-0.831510\pi\) |
0.504953 | + | 0.863147i | \(0.331510\pi\) | |||||||
\(564\) | 6.12212e9 | + | 1.70691e9i | 1.43689 | + | 0.400621i | ||||
\(565\) | −7.32479e9 | − | 7.32479e9i | −1.70854 | − | 1.70854i | ||||
\(566\) | 8.74413e8 | − | 1.54957e8i | 0.202703 | − | 0.0359215i | ||||
\(567\) | −3.29145e9 | + | 2.50651e9i | −0.758309 | + | 0.577470i | ||||
\(568\) | 2.39172e9 | + | 6.34256e8i | 0.547634 | + | 0.145226i | ||||
\(569\) | −3.99792e9 | −0.909790 | −0.454895 | − | 0.890545i | \(-0.650323\pi\) | ||||
−0.454895 | + | 0.890545i | \(0.650323\pi\) | |||||||
\(570\) | 5.62166e9 | − | 1.97658e9i | 1.27146 | − | 0.447047i | ||||
\(571\) | −2.85797e8 | + | 2.85797e8i | −0.0642438 | + | 0.0642438i | −0.738499 | − | 0.674255i | \(-0.764465\pi\) |
0.674255 | + | 0.738499i | \(0.264465\pi\) | |||||||
\(572\) | −1.19169e8 | − | 3.25671e8i | −0.0266242 | − | 0.0727601i | ||||
\(573\) | 4.93916e9 | − | 6.87927e9i | 1.09676 | − | 1.52757i | ||||
\(574\) | 5.64103e9 | + | 3.94268e9i | 1.24499 | + | 0.870161i | ||||
\(575\) | −1.23972e10 | −2.71948 | ||||||||
\(576\) | −8.79821e8 | + | 4.50129e9i | −0.191830 | + | 0.981428i | ||||
\(577\) | 5.79824e9 | 1.25655 | 0.628276 | − | 0.777990i | \(-0.283761\pi\) | ||||
0.628276 | + | 0.777990i | \(0.283761\pi\) | |||||||
\(578\) | 1.28126e9 | + | 8.95509e8i | 0.275988 | + | 0.192896i | ||||
\(579\) | −2.65373e9 | + | 3.69612e9i | −0.568174 | + | 0.791354i | ||||
\(580\) | −1.79827e9 | − | 4.91441e9i | −0.382699 | − | 1.04586i | ||||
\(581\) | 3.24315e9 | − | 3.24315e9i | 0.686041 | − | 0.686041i | ||||
\(582\) | 2.46706e9 | − | 8.67424e8i | 0.518740 | − | 0.182390i | ||||
\(583\) | −6.67531e8 | −0.139518 | ||||||||
\(584\) | −6.95223e8 | − | 1.84365e8i | −0.144437 | − | 0.0383031i | ||||
\(585\) | 7.46047e9 | − | 2.51726e9i | 1.54071 | − | 0.519855i | ||||
\(586\) | −2.35587e9 | + | 4.17491e8i | −0.483626 | + | 0.0857048i | ||||
\(587\) | 1.91942e9 | + | 1.91942e9i | 0.391686 | + | 0.391686i | 0.875288 | − | 0.483602i | \(-0.160672\pi\) |
−0.483602 | + | 0.875288i | \(0.660672\pi\) | |||||||
\(588\) | −4.34475e8 | − | 1.21136e8i | −0.0881342 | − | 0.0245727i | ||||
\(589\) | 1.17330e9 | − | 1.17330e9i | 0.236595 | − | 0.236595i | ||||
\(590\) | −9.75317e8 | − | 6.81676e8i | −0.195508 | − | 0.136646i | ||||
\(591\) | −1.07374e8 | − | 6.54081e8i | −0.0213965 | − | 0.130339i | ||||
\(592\) | 5.55761e8 | + | 4.66987e7i | 0.110094 | + | 0.00925079i | ||||
\(593\) | − | 2.03450e9i | − | 0.400652i | −0.979729 | − | 0.200326i | \(-0.935800\pi\) | ||
0.979729 | − | 0.200326i | \(-0.0642001\pi\) | |||||||
\(594\) | 5.68252e7 | − | 4.63930e8i | 0.0111247 | − | 0.0908239i | ||||
\(595\) | 7.68892e9 | + | 7.68892e9i | 1.49643 | + | 1.49643i | ||||
\(596\) | −5.03485e9 | − | 2.33726e9i | −0.974147 | − | 0.452216i | ||||
\(597\) | −3.89948e9 | + | 5.43121e9i | −0.750062 | + | 1.04469i | ||||
\(598\) | 7.81734e8 | + | 4.41127e9i | 0.149487 | + | 0.843547i | ||||
\(599\) | − | 2.22251e9i | − | 0.422522i | −0.977430 | − | 0.211261i | \(-0.932243\pi\) | ||
0.977430 | − | 0.211261i | \(-0.0677571\pi\) | |||||||
\(600\) | −1.09782e10 | + | 9.04011e9i | −2.07491 | + | 1.70862i | ||||
\(601\) | 6.17762e9i | 1.16081i | 0.814328 | + | 0.580405i | \(0.197106\pi\) | ||||
−0.814328 | + | 0.580405i | \(0.802894\pi\) | |||||||
\(602\) | −7.76363e9 | + | 1.37582e9i | −1.45036 | + | 0.257023i | ||||
\(603\) | 1.15466e9 | − | 2.33064e9i | 0.214458 | − | 0.432878i | ||||
\(604\) | −1.38831e9 | − | 3.79406e9i | −0.256364 | − | 0.700607i | ||||
\(605\) | 7.33441e9 | + | 7.33441e9i | 1.34655 | + | 1.34655i | ||||
\(606\) | −5.16179e8 | + | 1.07599e9i | −0.0942206 | + | 0.196405i | ||||
\(607\) | 4.76558e9i | 0.864878i | 0.901663 | + | 0.432439i | \(0.142347\pi\) | ||||
−0.901663 | + | 0.432439i | \(0.857653\pi\) | |||||||
\(608\) | 2.99020e9 | + | 2.48726e9i | 0.539557 | + | 0.448807i | ||||
\(609\) | 3.04034e9 | − | 4.99103e8i | 0.545459 | − | 0.0895425i | ||||
\(610\) | 1.99821e9 | − | 2.85896e9i | 0.356440 | − | 0.509981i | ||||
\(611\) | 5.03566e9 | − | 5.03566e9i | 0.893124 | − | 0.893124i | ||||
\(612\) | −4.10308e9 | − | 5.11351e9i | −0.723569 | − | 0.901757i | ||||
\(613\) | 2.49971e9 | + | 2.49971e9i | 0.438307 | + | 0.438307i | 0.891442 | − | 0.453135i | \(-0.149695\pi\) |
−0.453135 | + | 0.891442i | \(0.649695\pi\) | |||||||
\(614\) | 7.25919e8 | + | 4.09631e9i | 0.126561 | + | 0.714173i | ||||
\(615\) | −2.85971e9 | − | 1.74202e10i | −0.495746 | − | 3.01989i | ||||
\(616\) | −4.37535e8 | + | 2.54117e8i | −0.0754188 | + | 0.0438027i | ||||
\(617\) | −2.98038e9 | −0.510827 | −0.255414 | − | 0.966832i | \(-0.582212\pi\) | ||||
−0.255414 | + | 0.966832i | \(0.582212\pi\) | |||||||
\(618\) | 8.87435e9 | − | 3.12024e9i | 1.51244 | − | 0.531775i | ||||
\(619\) | −5.34568e9 | + | 5.34568e9i | −0.905912 | + | 0.905912i | −0.995939 | − | 0.0900274i | \(-0.971305\pi\) |
0.0900274 | + | 0.995939i | \(0.471305\pi\) | |||||||
\(620\) | −2.28769e9 | + | 4.92807e9i | −0.385502 | + | 0.830435i | ||||
\(621\) | −1.76863e9 | + | 5.77324e9i | −0.296358 | + | 0.967385i | ||||
\(622\) | −2.67605e9 | + | 3.82879e9i | −0.445890 | + | 0.637963i | ||||
\(623\) | 6.66004e9 | 1.10349 | ||||||||
\(624\) | 3.90898e9 | + | 3.33629e9i | 0.644046 | + | 0.549690i | ||||
\(625\) | −2.15867e10 | −3.53677 | ||||||||
\(626\) | −5.38298e9 | + | 7.70177e9i | −0.877026 | + | 1.25482i | ||||
\(627\) | −3.21972e8 | − | 2.31169e8i | −0.0521654 | − | 0.0374535i | ||||
\(628\) | 2.40287e9 | + | 1.11546e9i | 0.387144 | + | 0.179719i | ||||
\(629\) | −5.63731e8 | + | 5.63731e8i | −0.0903222 | + | 0.0903222i | ||||
\(630\) | −5.51579e9 | − | 1.00772e10i | −0.878852 | − | 1.60564i | ||||
\(631\) | 8.39547e9 | 1.33028 | 0.665139 | − | 0.746720i | \(-0.268372\pi\) | ||||
0.665139 | + | 0.746720i | \(0.268372\pi\) | |||||||
\(632\) | −4.27253e8 | − | 1.13303e8i | −0.0673248 | − | 0.0178538i | ||||
\(633\) | 5.94528e9 | − | 9.75977e8i | 0.931663 | − | 0.152942i | ||||
\(634\) | −5.77767e8 | − | 3.26030e9i | −0.0900410 | − | 0.508095i | ||||
\(635\) | 2.12728e9 | + | 2.12728e9i | 0.329699 | + | 0.329699i | ||||
\(636\) | 8.61653e9 | − | 4.85932e9i | 1.32811 | − | 0.748990i | ||||
\(637\) | −3.57371e8 | + | 3.57371e8i | −0.0547811 | + | 0.0547811i | ||||
\(638\) | −1.99405e8 | + | 2.85302e8i | −0.0303994 | + | 0.0434943i | ||||
\(639\) | 3.54069e9 | − | 1.19468e9i | 0.536828 | − | 0.181133i | ||||
\(640\) | −1.19935e10 | − | 4.28376e9i | −1.80849 | − | 0.645944i | ||||
\(641\) | − | 7.18143e8i | − | 0.107698i | −0.998549 | − | 0.0538490i | \(-0.982851\pi\) | ||
0.998549 | − | 0.0538490i | \(-0.0171490\pi\) | |||||||
\(642\) | 4.68090e9 | + | 2.24555e9i | 0.698163 | + | 0.334927i | ||||
\(643\) | −7.16100e9 | − | 7.16100e9i | −1.06227 | − | 1.06227i | −0.997928 | − | 0.0643437i | \(-0.979505\pi\) |
−0.0643437 | − | 0.997928i | \(-0.520495\pi\) | |||||||
\(644\) | 6.13840e9 | − | 2.24615e9i | 0.905639 | − | 0.331389i | ||||
\(645\) | 1.64285e10 | + | 1.17953e10i | 2.41068 | + | 1.73081i | ||||
\(646\) | −5.47449e9 | + | 9.70152e8i | −0.798970 | + | 0.141588i | ||||
\(647\) | 7.88616e9i | 1.14472i | 0.820001 | + | 0.572362i | \(0.193973\pi\) | ||||
−0.820001 | + | 0.572362i | \(0.806027\pi\) | |||||||
\(648\) | 2.64370e9 | + | 6.40211e9i | 0.381680 | + | 0.924294i | ||||
\(649\) | 7.91482e7i | 0.0113654i | ||||||||
\(650\) | 2.78055e9 | + | 1.56905e10i | 0.397132 | + | 2.24099i | ||||
\(651\) | −2.59846e9 | − | 1.86563e9i | −0.369132 | − | 0.265028i | ||||
\(652\) | 8.90443e8 | − | 1.91816e9i | 0.125817 | − | 0.271031i | ||||
\(653\) | 6.09780e9 | + | 6.09780e9i | 0.856993 | + | 0.856993i | 0.990983 | − | 0.133990i | \(-0.0427790\pi\) |
−0.133990 | + | 0.990983i | \(0.542779\pi\) | |||||||
\(654\) | 8.14581e8 | − | 1.69801e9i | 0.113871 | − | 0.237366i | ||||
\(655\) | − | 1.90912e10i | − | 2.65453i | ||||||
\(656\) | 8.80113e9 | − | 7.43672e9i | 1.21724 | − | 1.02853i | ||||
\(657\) | −1.02921e9 | + | 3.47268e8i | −0.141587 | + | 0.0477734i | ||||
\(658\) | −8.51649e9 | − | 5.95241e9i | −1.16539 | − | 0.814521i | ||||
\(659\) | −4.02156e9 | + | 4.02156e9i | −0.547388 | + | 0.547388i | −0.925684 | − | 0.378297i | \(-0.876510\pi\) |
0.378297 | + | 0.925684i | \(0.376510\pi\) | |||||||
\(660\) | 1.25017e9 | + | 3.48560e8i | 0.169264 | + | 0.0471926i | ||||
\(661\) | 2.04154e9 | + | 2.04154e9i | 0.274950 | + | 0.274950i | 0.831089 | − | 0.556139i | \(-0.187718\pi\) |
−0.556139 | + | 0.831089i | \(0.687718\pi\) | |||||||
\(662\) | −1.64175e9 | + | 2.90940e8i | −0.219940 | + | 0.0389762i | ||||
\(663\) | −7.24917e9 | + | 1.19002e9i | −0.966031 | + | 0.158584i | ||||
\(664\) | −3.85650e9 | − | 6.64007e9i | −0.511216 | − | 0.880205i | ||||
\(665\) | −9.74209e9 | −1.28462 | ||||||||
\(666\) | 7.38831e8 | − | 4.04402e8i | 0.0969137 | − | 0.0530462i | ||||
\(667\) | 3.17963e9 | − | 3.17963e9i | 0.414893 | − | 0.414893i | ||||
\(668\) | −2.39730e9 | + | 8.77215e8i | −0.311175 | + | 0.113865i | ||||
\(669\) | 3.46659e9 | + | 2.48893e9i | 0.447622 | + | 0.321382i | ||||
\(670\) | 5.91974e9 | + | 4.13747e9i | 0.760398 | + | 0.531463i | ||||
\(671\) | −2.32008e8 | −0.0296466 | ||||||||
\(672\) | 3.79787e9 | − | 6.46521e9i | 0.482778 | − | 0.821845i | ||||
\(673\) | 5.02685e8 | 0.0635687 | 0.0317843 | − | 0.999495i | \(-0.489881\pi\) | ||||
0.0317843 | + | 0.999495i | \(0.489881\pi\) | |||||||
\(674\) | −1.10597e10 | − | 7.72993e9i | −1.39134 | − | 0.972447i | ||||
\(675\) | −6.29085e9 | + | 2.05349e10i | −0.787310 | + | 2.56998i | ||||
\(676\) | −2.13493e9 | + | 7.81208e8i | −0.265809 | + | 0.0972642i | ||||
\(677\) | −4.92963e9 | + | 4.92963e9i | −0.610596 | + | 0.610596i | −0.943101 | − | 0.332505i | \(-0.892106\pi\) |
0.332505 | + | 0.943101i | \(0.392106\pi\) | |||||||
\(678\) | −3.38686e9 | − | 9.63266e9i | −0.417343 | − | 1.18698i | ||||
\(679\) | −4.27532e9 | −0.524112 | ||||||||
\(680\) | 1.57424e10 | − | 9.14306e9i | 1.91995 | − | 1.11509i | ||||
\(681\) | 4.53071e8 | + | 2.75994e9i | 0.0549733 | + | 0.334876i | ||||
\(682\) | 3.55844e8 | − | 6.30602e7i | 0.0429551 | − | 0.00761220i | ||||
\(683\) | −7.74114e9 | − | 7.74114e9i | −0.929678 | − | 0.929678i | 0.0680069 | − | 0.997685i | \(-0.478336\pi\) |
−0.997685 | + | 0.0680069i | \(0.978336\pi\) | |||||||
\(684\) | 5.83885e9 | + | 6.40126e8i | 0.697639 | + | 0.0764838i | ||||
\(685\) | −7.27679e9 | + | 7.27679e9i | −0.865014 | + | 0.865014i | ||||
\(686\) | 7.21017e9 | + | 5.03939e9i | 0.852729 | + | 0.595996i | ||||
\(687\) | 5.35042e7 | − | 8.78326e6i | 0.00629564 | − | 0.00103349i | ||||
\(688\) | −1.10529e9 | + | 1.31541e10i | −0.129395 | + | 1.53993i | ||||
\(689\) | − | 1.10844e10i | − | 1.29105i | ||||||
\(690\) | −1.51168e10 | − | 7.25194e9i | −1.75182 | − | 0.840392i | ||||
\(691\) | 6.55081e9 | + | 6.55081e9i | 0.755304 | + | 0.755304i | 0.975464 | − | 0.220160i | \(-0.0706579\pi\) |
−0.220160 | + | 0.975464i | \(0.570658\pi\) | |||||||
\(692\) | 2.89833e9 | − | 6.24347e9i | 0.332488 | − | 0.716234i | ||||
\(693\) | −3.39218e8 | + | 6.84702e8i | −0.0387180 | + | 0.0781511i | ||||
\(694\) | 1.05531e9 | + | 5.95503e9i | 0.119845 | + | 0.676279i | ||||
\(695\) | − | 1.21351e10i | − | 1.37118i | ||||||
\(696\) | 4.97068e8 | − | 5.13427e9i | 0.0558835 | − | 0.577227i | ||||
\(697\) | 1.64707e10i | 1.84246i | ||||||||
\(698\) | 5.01738e9 | − | 8.89145e8i | 0.558449 | − | 0.0989644i | ||||
\(699\) | −7.95290e9 | + | 1.10768e10i | −0.880756 | + | 1.22672i | ||||
\(700\) | 2.18337e10 | − | 7.98934e9i | 2.40594 | − | 0.880376i | ||||
\(701\) | 1.99853e9 | + | 1.99853e9i | 0.219128 | + | 0.219128i | 0.808131 | − | 0.589003i | \(-0.200479\pi\) |
−0.589003 | + | 0.808131i | \(0.700479\pi\) | |||||||
\(702\) | 7.70357e9 | + | 9.43584e8i | 0.840450 | + | 0.102944i | ||||
\(703\) | − | 7.14263e8i | − | 0.0775380i | ||||||
\(704\) | 2.23463e8 | + | 8.17101e8i | 0.0241380 | + | 0.0882616i | ||||
\(705\) | 4.31742e9 | + | 2.63000e10i | 0.464047 | + | 2.82680i | ||||
\(706\) | 1.45642e9 | − | 2.08379e9i | 0.155765 | − | 0.222863i | ||||
\(707\) | 1.37958e9 | − | 1.37958e9i | 0.146818 | − | 0.146818i | ||||
\(708\) | −5.76163e8 | − | 1.02165e9i | −0.0610140 | − | 0.108190i | ||||
\(709\) | −2.22347e9 | − | 2.22347e9i | −0.234299 | − | 0.234299i | 0.580186 | − | 0.814484i | \(-0.302980\pi\) |
−0.814484 | + | 0.580186i | \(0.802980\pi\) | |||||||
\(710\) | 1.81059e9 | + | 1.02171e10i | 0.189853 | + | 1.07133i | ||||
\(711\) | −6.32505e8 | + | 2.13415e8i | −0.0659964 | + | 0.0222680i | ||||
\(712\) | 2.85813e9 | − | 1.07777e10i | 0.296758 | − | 1.11905i | ||||
\(713\) | −4.66860e9 | −0.482362 | ||||||||
\(714\) | 3.55523e9 | + | 1.01115e10i | 0.365531 | + | 1.03962i | ||||
\(715\) | 1.02831e9 | − | 1.02831e9i | 0.105209 | − | 0.105209i | ||||
\(716\) | 8.30276e9 | + | 3.85429e9i | 0.845331 | + | 0.392417i | ||||
\(717\) | 3.15686e9 | − | 4.39689e9i | 0.319844 | − | 0.445480i | ||||
\(718\) | 4.88021e9 | − | 6.98242e9i | 0.492043 | − | 0.703997i | ||||
\(719\) | −6.96861e9 | −0.699189 | −0.349595 | − | 0.936901i | \(-0.613681\pi\) | ||||
−0.349595 | + | 0.936901i | \(0.613681\pi\) | |||||||
\(720\) | −1.86746e10 | + | 4.60144e9i | −1.86461 | + | 0.459441i | ||||
\(721\) | −1.53789e10 | −1.52810 | ||||||||
\(722\) | −2.93989e9 | + | 4.20629e9i | −0.290704 | + | 0.415929i | ||||
\(723\) | 5.58949e9 | − | 7.78506e9i | 0.550032 | − | 0.766087i | ||||
\(724\) | −4.14124e9 | + | 8.92091e9i | −0.405551 | + | 0.873624i | ||||
\(725\) | 1.13096e10 | − | 1.13096e10i | 1.10221 | − | 1.10221i | ||||
\(726\) | 3.39131e9 | + | 9.64531e9i | 0.328919 | + | 0.935488i | ||||
\(727\) | 9.65672e9 | 0.932093 | 0.466047 | − | 0.884760i | \(-0.345678\pi\) | ||||
0.466047 | + | 0.884760i | \(0.345678\pi\) | |||||||
\(728\) | −4.21961e9 | − | 7.26527e9i | −0.405333 | − | 0.697898i | ||||
\(729\) | 8.66540e9 | + | 5.85916e9i | 0.828404 | + | 0.560130i | ||||
\(730\) | −5.26303e8 | − | 2.96989e9i | −0.0500733 | − | 0.282560i | ||||
\(731\) | −1.33427e10 | − | 1.33427e10i | −1.26338 | − | 1.26338i | ||||
\(732\) | 2.99478e9 | − | 1.68892e9i | 0.282212 | − | 0.159155i | ||||
\(733\) | 1.48172e10 | − | 1.48172e10i | 1.38964 | − | 1.38964i | 0.563561 | − | 0.826075i | \(-0.309431\pi\) |
0.826075 | − | 0.563561i | \(-0.190569\pi\) | |||||||
\(734\) | 4.44608e8 | − | 6.36128e8i | 0.0414993 | − | 0.0593757i | ||||
\(735\) | −3.06399e8 | − | 1.86646e9i | −0.0284630 | − | 0.173386i | ||||
\(736\) | −1.00060e9 | − | 1.08975e10i | −0.0925099 | − | 1.00752i | ||||
\(737\) | − | 4.80394e8i | − | 0.0442040i | ||||||
\(738\) | 4.88556e9 | − | 1.67011e10i | 0.447422 | − | 1.52950i | ||||
\(739\) | 1.17557e10 | + | 1.17557e10i | 1.07150 | + | 1.07150i | 0.997239 | + | 0.0742612i | \(0.0236599\pi\) |
0.0742612 | + | 0.997239i | \(0.476340\pi\) | |||||||
\(740\) | 8.03683e8 | + | 2.19635e9i | 0.0729078 | + | 0.199247i | ||||
\(741\) | 3.83856e9 | − | 5.34636e9i | 0.346581 | − | 0.482719i | ||||
\(742\) | −1.59243e10 | + | 2.82199e9i | −1.43102 | + | 0.253596i | ||||
\(743\) | 9.46323e9i | 0.846406i | 0.906035 | + | 0.423203i | \(0.139094\pi\) | ||||
−0.906035 | + | 0.423203i | \(0.860906\pi\) | |||||||
\(744\) | −4.13421e9 | + | 3.40437e9i | −0.368033 | + | 0.303062i | ||||
\(745\) | − | 2.32775e10i | − | 2.06248i | ||||||
\(746\) | −2.83025e9 | − | 1.59709e10i | −0.249597 | − | 1.40846i | ||||
\(747\) | −1.03911e10 | − | 5.14800e9i | −0.912093 | − | 0.451873i | ||||
\(748\) | −1.09833e9 | − | 5.09863e8i | −0.0959570 | − | 0.0445449i | ||||
\(749\) | −6.00162e9 | − | 6.00162e9i | −0.521893 | − | 0.521893i | ||||
\(750\) | −3.37648e10 | − | 1.61978e10i | −2.92247 | − | 1.40198i | ||||
\(751\) | 2.05325e10i | 1.76889i | 0.466641 | + | 0.884447i | \(0.345464\pi\) | ||||
−0.466641 | + | 0.884447i | \(0.654536\pi\) | |||||||
\(752\) | −1.32874e10 | + | 1.12275e10i | −1.13941 | + | 0.962767i | ||||
\(753\) | −1.73033e9 | + | 2.84051e8i | −0.147688 | + | 0.0242445i | ||||
\(754\) | −4.73744e9 | − | 3.31113e9i | −0.402480 | − | 0.281304i | ||||
\(755\) | 1.19798e10 | − | 1.19798e10i | 1.01306 | − | 1.01306i | ||||
\(756\) | −6.05674e8 | − | 1.13075e10i | −0.0509815 | − | 0.951791i | ||||
\(757\) | −1.78178e9 | − | 1.78178e9i | −0.149286 | − | 0.149286i | 0.628513 | − | 0.777799i | \(-0.283664\pi\) |
−0.777799 | + | 0.628513i | \(0.783664\pi\) | |||||||
\(758\) | −2.97267e9 | + | 5.26795e8i | −0.247916 | + | 0.0439339i | ||||
\(759\) | 1.80656e8 | + | 1.10048e9i | 0.0149970 | + | 0.0913561i | ||||
\(760\) | −4.18078e9 | + | 1.57653e10i | −0.345469 | + | 1.30273i | ||||
\(761\) | 1.53743e10 | 1.26459 | 0.632294 | − | 0.774729i | \(-0.282114\pi\) | ||||
0.632294 | + | 0.774729i | \(0.282114\pi\) | |||||||
\(762\) | 9.83620e8 | + | 2.79754e9i | 0.0805351 | + | 0.229052i | ||||
\(763\) | −2.17711e9 | + | 2.17711e9i | −0.177437 | + | 0.177437i | ||||
\(764\) | 7.96528e9 | + | 2.17680e10i | 0.646211 | + | 1.76600i | ||||
\(765\) | 1.22050e10 | − | 2.46354e10i | 0.985649 | − | 1.98951i | ||||
\(766\) | 1.50946e10 | + | 1.05500e10i | 1.21345 | + | 0.848112i | ||||
\(767\) | −1.31426e9 | −0.105171 | ||||||||
\(768\) | −8.83260e9 | − | 8.92049e9i | −0.703598 | − | 0.710599i | ||||
\(769\) | −1.44722e10 | −1.14761 | −0.573804 | − | 0.818992i | \(-0.694533\pi\) | ||||
−0.573804 | + | 0.818992i | \(0.694533\pi\) | |||||||
\(770\) | −1.73911e9 | − | 1.21552e9i | −0.137281 | − | 0.0959496i | ||||
\(771\) | −1.02123e10 | − | 7.33222e9i | −0.802480 | − | 0.576162i | ||||
\(772\) | −4.27961e9 | − | 1.16956e10i | −0.334768 | − | 0.914873i | ||||
\(773\) | 6.14800e8 | − | 6.14800e8i | 0.0478747 | − | 0.0478747i | −0.682764 | − | 0.730639i | \(-0.739222\pi\) |
0.730639 | + | 0.682764i | \(0.239222\pi\) | |||||||
\(774\) | 9.57163e9 | + | 1.74871e10i | 0.741980 | + | 1.35558i | ||||
\(775\) | −1.66058e10 | −1.28145 | ||||||||
\(776\) | −1.83473e9 | + | 6.91861e9i | −0.140947 | + | 0.531499i | ||||
\(777\) | −1.35879e9 | + | 2.23059e8i | −0.103915 | + | 0.0170587i | ||||
\(778\) | 8.33729e9 | − | 1.47748e9i | 0.634741 | − | 0.112484i | ||||
\(779\) | −1.04344e10 | − | 1.04344e10i | −0.790839 | − | 0.790839i | ||||
\(780\) | −5.78785e9 | + | 2.07591e10i | −0.436703 | + | 1.56631i | ||||
\(781\) | 4.88029e8 | − | 4.88029e8i | 0.0366579 | − | 0.0366579i | ||||
\(782\) | 1.28217e10 | + | 8.96147e9i | 0.958790 | + | 0.670125i | ||||
\(783\) | −3.65330e9 | − | 6.88025e9i | −0.271969 | − | 0.512198i | ||||
\(784\) | 9.42983e8 | − | 7.96795e8i | 0.0698872 | − | 0.0590528i | ||||
\(785\) | 1.11091e10i | 0.819666i | ||||||||
\(786\) | 8.13947e9 | − | 1.69669e10i | 0.597884 | − | 1.24630i | ||||
\(787\) | 1.25091e10 | + | 1.25091e10i | 0.914772 | + | 0.914772i | 0.996643 | − | 0.0818710i | \(-0.0260896\pi\) |
−0.0818710 | + | 0.996643i | \(0.526090\pi\) | |||||||
\(788\) | 1.64556e9 | + | 7.63899e8i | 0.119804 | + | 0.0556153i | ||||
\(789\) | −2.20306e10 | − | 1.58174e10i | −1.59682 | − | 1.14648i | ||||
\(790\) | −3.23442e8 | − | 1.82516e9i | −0.0233401 | − | 0.131706i | ||||
\(791\) | 1.66930e10i | 1.19927i | ||||||||
\(792\) | 9.62457e8 | + | 8.42783e8i | 0.0688404 | + | 0.0602806i | ||||
\(793\) | − | 3.85250e9i | − | 0.274339i | ||||||
\(794\) | 9.62972e9 | − | 1.70651e9i | 0.682719 | − | 0.120987i | ||||
\(795\) | 3.36972e10 | + | 2.41938e10i | 2.37853 | + | 1.70773i | ||||
\(796\) | −6.28862e9 | − | 1.71859e10i | −0.441937 | − | 1.20775i | ||||
\(797\) | 3.62593e9 | + | 3.62593e9i | 0.253697 | + | 0.253697i | 0.822484 | − | 0.568788i | \(-0.192587\pi\) |
−0.568788 | + | 0.822484i | \(0.692587\pi\) | |||||||
\(798\) | −8.65809e9 | − | 4.15351e9i | −0.603131 | − | 0.289338i | ||||
\(799\) | − | 2.48665e10i | − | 1.72465i | ||||||
\(800\) | −3.55904e9 | − | 3.87614e10i | −0.245764 | − | 2.67661i | ||||
\(801\) | −5.38354e9 | − | 1.59554e10i | −0.370130 | − | 1.09696i | ||||
\(802\) | −1.38663e10 | + | 1.98394e10i | −0.949184 | + | 1.35806i | ||||
\(803\) | −1.41860e8 | + | 1.41860e8i | −0.00966843 | + | 0.00966843i | ||||
\(804\) | 3.49706e9 | + | 6.20096e9i | 0.237305 | + | 0.420788i | ||||
\(805\) | 1.93821e10 | + | 1.93821e10i | 1.30953 | + | 1.30953i | ||||
\(806\) | 1.04712e9 | + | 5.90880e9i | 0.0704404 | + | 0.397490i | ||||
\(807\) | 1.43904e10 | − | 2.36233e9i | 0.963864 | − | 0.158228i | ||||
\(808\) | −1.64049e9 | − | 2.82457e9i | −0.109404 | − | 0.188370i | ||||
\(809\) | −8.97245e9 | −0.595787 | −0.297894 | − | 0.954599i | \(-0.596284\pi\) | ||||
−0.297894 | + | 0.954599i | \(0.596284\pi\) | |||||||
\(810\) | −1.96831e10 | + | 2.13598e10i | −1.30136 | + | 1.41221i | ||||
\(811\) | 4.56809e9 | − | 4.56809e9i | 0.300720 | − | 0.300720i | −0.540576 | − | 0.841295i | \(-0.681794\pi\) |
0.841295 | + | 0.540576i | \(0.181794\pi\) | |||||||
\(812\) | −3.55080e9 | + | 7.64901e9i | −0.232745 | + | 0.501371i | ||||
\(813\) | −1.09129e10 | − | 7.83521e9i | −0.712235 | − | 0.511368i | ||||
\(814\) | 8.91183e7 | − | 1.27507e8i | 0.00579137 | − | 0.00828608i | ||||
\(815\) | 8.86819e9 | 0.573830 | ||||||||
\(816\) | 1.78889e10 | − | 1.41399e9i | 1.15257 | − | 0.0911027i | ||||
\(817\) | 1.69056e10 | 1.08456 | ||||||||
\(818\) | −1.78979e9 | + | 2.56076e9i | −0.114331 | + | 0.163581i | ||||
\(819\) | −1.13695e10 | − | 5.63272e9i | −0.723181 | − | 0.358281i | ||||
\(820\) | 4.38265e10 | + | 2.03450e10i | 2.77580 | + | 1.28858i | ||||
\(821\) | −6.85603e9 | + | 6.85603e9i | −0.432386 | + | 0.432386i | −0.889439 | − | 0.457053i | \(-0.848905\pi\) |
0.457053 | + | 0.889439i | \(0.348905\pi\) | |||||||
\(822\) | −9.56955e9 | + | 3.36467e9i | −0.600952 | + | 0.211296i | ||||
\(823\) | −1.30667e10 | −0.817082 | −0.408541 | − | 0.912740i | \(-0.633962\pi\) | ||||
−0.408541 | + | 0.912740i | \(0.633962\pi\) | |||||||
\(824\) | −6.59978e9 | + | 2.48871e10i | −0.410946 | + | 1.54964i | ||||
\(825\) | 6.42575e8 | + | 3.91432e9i | 0.0398414 | + | 0.242699i | ||||
\(826\) | 3.34600e8 | + | 1.88812e9i | 0.0206583 | + | 0.116573i | ||||
\(827\) | −4.65003e9 | − | 4.65003e9i | −0.285881 | − | 0.285881i | 0.549568 | − | 0.835449i | \(-0.314792\pi\) |
−0.835449 | + | 0.549568i | \(0.814792\pi\) | |||||||
\(828\) | −1.03429e10 | − | 1.28900e10i | −0.633196 | − | 0.789128i | ||||
\(829\) | −1.79452e10 | + | 1.79452e10i | −1.09398 | + | 1.09398i | −0.0988778 | + | 0.995100i | \(0.531525\pi\) |
−0.995100 | + | 0.0988778i | \(0.968475\pi\) | |||||||
\(830\) | 1.84468e10 | − | 2.63930e10i | 1.11982 | − | 1.60219i | ||||
\(831\) | 3.10879e10 | − | 5.10339e9i | 1.87926 | − | 0.308500i | ||||
\(832\) | −1.35680e10 | + | 3.71060e9i | −0.816739 | + | 0.223364i | ||||
\(833\) | 1.76473e9i | 0.105784i | ||||||||
\(834\) | 5.17374e9 | − | 1.07848e10i | 0.308833 | − | 0.643770i | ||||
\(835\) | −7.56950e9 | − | 7.56950e9i | −0.449950 | − | 0.449950i | ||||
\(836\) | 1.01881e9 | − | 3.72801e8i | 0.0603077 | − | 0.0220676i | ||||
\(837\) | −2.36904e9 | + | 7.73313e9i | −0.139647 | + | 0.455844i | ||||
\(838\) | 2.13383e9 | − | 3.78142e8i | 0.125258 | − | 0.0221973i | ||||
\(839\) | 3.63912e8i | 0.0212730i | 0.999943 | + | 0.0106365i | \(0.00338577\pi\) | ||||
−0.999943 | + | 0.0106365i | \(0.996614\pi\) | |||||||
\(840\) | 3.12970e10 | + | 3.02998e9i | 1.82190 | + | 0.176385i | ||||
\(841\) | − | 1.14485e10i | − | 0.663686i | ||||||
\(842\) | 3.43233e8 | + | 1.93684e9i | 0.0198151 | + | 0.111815i | ||||
\(843\) | −9.04994e9 | + | 1.26048e10i | −0.520294 | + | 0.724667i | ||||
\(844\) | −6.94346e9 | + | 1.49574e10i | −0.397537 | + | 0.856360i | ||||
\(845\) | −6.74105e9 | − | 6.74105e9i | −0.384352 | − | 0.384352i | ||||
\(846\) | −7.37592e9 | + | 2.52144e10i | −0.418813 | + | 1.43170i | ||||
\(847\) | − | 1.67149e10i | − | 0.945174i | ||||||
\(848\) | −2.26711e9 | + | 2.69808e10i | −0.127669 | + | 1.51939i | ||||
\(849\) | 5.94626e8 | + | 3.62223e9i | 0.0333478 | + | 0.203142i | ||||
\(850\) | 4.56057e10 | + | 3.18751e10i | 2.54714 | + | 1.78027i | ||||
\(851\) | −1.42104e9 | + | 1.42104e9i | −0.0790410 | + | 0.0790410i | ||||
\(852\) | −2.74688e9 | + | 9.85215e9i | −0.152160 | + | 0.545748i | ||||
\(853\) | 1.45667e10 | + | 1.45667e10i | 0.803598 | + | 0.803598i | 0.983656 | − | 0.180058i | \(-0.0576285\pi\) |
−0.180058 | + | 0.983656i | \(0.557628\pi\) | |||||||
\(854\) | −5.53468e9 | + | 9.80818e8i | −0.304082 | + | 0.0538872i | ||||
\(855\) | 7.87486e9 | + | 2.33389e10i | 0.430885 | + | 1.27703i | ||||
\(856\) | −1.22878e10 | + | 7.13665e9i | −0.669600 | + | 0.388899i | ||||
\(857\) | −7.23133e9 | −0.392451 | −0.196225 | − | 0.980559i | \(-0.562868\pi\) | ||||
−0.196225 | + | 0.980559i | \(0.562868\pi\) | |||||||
\(858\) | 1.35231e9 | − | 4.75473e8i | 0.0730919 | − | 0.0256992i | ||||
\(859\) | 1.81480e10 | − | 1.81480e10i | 0.976906 | − | 0.976906i | −0.0228336 | − | 0.999739i | \(-0.507269\pi\) |
0.999739 | + | 0.0228336i | \(0.00726879\pi\) | |||||||
\(860\) | −5.19845e10 | + | 1.90220e10i | −2.78695 | + | 1.01979i | ||||
\(861\) | −1.65915e10 | + | 2.31087e10i | −0.885881 | + | 1.23386i | ||||
\(862\) | −2.23634e10 | − | 1.56304e10i | −1.18922 | − | 0.831181i | ||||
\(863\) | −1.94578e10 | −1.03052 | −0.515259 | − | 0.857035i | \(-0.672304\pi\) | ||||
−0.515259 | + | 0.857035i | \(0.672304\pi\) | |||||||
\(864\) | −1.85585e10 | − | 3.87244e9i | −0.978916 | − | 0.204261i | ||||
\(865\) | 2.88653e10 | 1.51642 | ||||||||
\(866\) | −1.76101e10 | − | 1.23082e10i | −0.921401 | − | 0.643993i | ||||
\(867\) | −3.76847e9 | + | 5.24874e9i | −0.196381 | + | 0.273519i | ||||
\(868\) | 8.22226e9 | − | 3.00867e9i | 0.426749 | − | 0.156155i | ||||
\(869\) | −8.71809e7 | + | 8.71809e7i | −0.00450663 | + | 0.00450663i | ||||
\(870\) | 2.04064e10 | − | 7.17494e9i | 1.05063 | − | 0.369403i | ||||
\(871\) | 7.97695e9 | 0.409047 | ||||||||
\(872\) | 2.58885e9 | + | 4.45745e9i | 0.132221 | + | 0.227656i | ||||
\(873\) | 3.45588e9 | + | 1.02423e10i | 0.175796 | + | 0.521012i | ||||
\(874\) | −1.38000e10 | + | 2.44554e9i | −0.699179 | + | 0.123904i | ||||
\(875\) | 4.32915e10 | + | 4.32915e10i | 2.18461 | + | 2.18461i | ||||
\(876\) | 7.98462e8 | − | 2.86382e9i | 0.0401319 | − | 0.143940i | ||||
\(877\) | 1.47073e10 | − | 1.47073e10i | 0.736266 | − | 0.736266i | −0.235587 | − | 0.971853i | \(-0.575701\pi\) |
0.971853 | + | 0.235587i | \(0.0757014\pi\) | |||||||
\(878\) | 4.78502e9 | + | 3.34438e9i | 0.238590 | + | 0.166757i | ||||
\(879\) | −1.60206e9 | − | 9.75912e9i | −0.0795641 | − | 0.484674i | ||||
\(880\) | −2.71336e9 | + | 2.29272e9i | −0.134220 | + | 0.113413i | ||||
\(881\) | − | 3.79505e10i | − | 1.86983i | −0.354875 | − | 0.934914i | \(-0.615477\pi\) | ||
0.354875 | − | 0.934914i | \(-0.384523\pi\) | |||||||
\(882\) | 5.23455e8 | − | 1.78941e9i | 0.0256885 | − | 0.0878154i | ||||
\(883\) | −2.30991e10 | − | 2.30991e10i | −1.12910 | − | 1.12910i | −0.990324 | − | 0.138776i | \(-0.955683\pi\) |
−0.138776 | − | 0.990324i | \(-0.544317\pi\) | |||||||
\(884\) | 8.46628e9 | − | 1.82378e10i | 0.412202 | − | 0.887950i | ||||
\(885\) | 2.86862e9 | − | 3.99543e9i | 0.139114 | − | 0.193759i | ||||
\(886\) | 1.31406e9 | + | 7.41516e9i | 0.0634743 | + | 0.358181i | ||||
\(887\) | − | 2.25109e10i | − | 1.08308i | −0.840676 | − | 0.541539i | \(-0.817842\pi\) | ||
0.840676 | − | 0.541539i | \(-0.182158\pi\) | |||||||
\(888\) | −2.22150e8 | + | 2.29461e9i | −0.0106464 | + | 0.109967i | ||||
\(889\) | − | 4.84802e9i | − | 0.231424i | ||||||
\(890\) | 4.60409e10 | − | 8.15904e9i | 2.18917 | − | 0.387949i | ||||
\(891\) | 1.91453e9 | + | 2.59191e8i | 0.0906755 | + | 0.0122757i | ||||
\(892\) | −1.09693e10 | + | 4.01385e9i | −0.517489 | + | 0.189358i | ||||
\(893\) | 1.57533e10 | + | 1.57533e10i | 0.740272 | + | 0.740272i | ||||
\(894\) | 9.92428e9 | − | 2.06874e10i | 0.464534 | − | 0.968333i | ||||
\(895\) | 3.83860e10i | 1.78975i | ||||||||
\(896\) | 8.78512e9 | + | 1.85477e10i | 0.408009 | + | 0.861413i | ||||
\(897\) | −1.82736e10 | + | 2.99979e9i | −0.845375 | + | 0.138777i | ||||
\(898\) | 3.11020e9 | − | 4.44996e9i | 0.143325 | − | 0.205064i | ||||
\(899\) | 4.25904e9 | − | 4.25904e9i | 0.195503 | − | 0.195503i | ||||
\(900\) | −3.67889e10 | − | 4.58486e10i | −1.68216 | − | 2.09642i | ||||
\(901\) | −2.73677e10 | − | 2.73677e10i | −1.24653 | − | 1.24653i | ||||
\(902\) | −5.60810e8 | − | 3.16461e9i | −0.0254444 | − | 0.143581i | ||||
\(903\) | −5.27949e9 | − | 3.21606e10i | −0.238608 | − | 1.45351i | ||||
\(904\) | 2.70137e10 | + | 7.16373e9i | 1.21617 | + | 0.322515i | ||||
\(905\) | −4.12438e10 | −1.84965 | ||||||||
\(906\) | 1.57543e10 | − | 5.53924e9i | 0.703802 | − | 0.247458i | ||||
\(907\) | 1.81420e10 | − | 1.81420e10i | 0.807344 | − | 0.807344i | −0.176887 | − | 0.984231i | \(-0.556603\pi\) |
0.984231 | + | 0.176887i | \(0.0566028\pi\) | |||||||
\(908\) | −6.94356e9 | − | 3.22332e9i | −0.307809 | − | 0.142890i | ||||
\(909\) | −4.42019e9 | − | 2.18987e9i | −0.195194 | − | 0.0967040i | ||||
\(910\) | 2.01836e10 | − | 2.88780e10i | 0.887881 | − | 1.27035i | ||||
\(911\) | 1.51339e9 | 0.0663189 | 0.0331595 | − | 0.999450i | \(-0.489443\pi\) | ||||
0.0331595 | + | 0.999450i | \(0.489443\pi\) | |||||||
\(912\) | −1.04371e10 | + | 1.22286e10i | −0.455614 | + | 0.533822i | ||||
\(913\) | −2.14182e9 | −0.0931399 | ||||||||
\(914\) | −1.23809e10 | + | 1.77142e10i | −0.536342 | + | 0.767378i | ||||
\(915\) | 1.17119e10 | + | 8.40885e9i | 0.505420 | + | 0.362880i | ||||
\(916\) | −6.24874e7 | + | 1.34608e8i | −0.00268632 | + | 0.00578678i | ||||
\(917\) | −2.17541e10 | + | 2.17541e10i | −0.931642 | + | 0.931642i | ||||
\(918\) | 2.13502e10 | − | 1.66907e10i | 0.910861 | − | 0.712073i | ||||
\(919\) | −1.96115e10 | −0.833502 | −0.416751 | − | 0.909021i | \(-0.636831\pi\) | ||||
−0.416751 | + | 0.909021i | \(0.636831\pi\) | |||||||
\(920\) | 3.96831e10 | − | 2.30476e10i | 1.68015 | − | 0.975818i | ||||
\(921\) | −1.69688e10 | + | 2.78561e9i | −0.715721 | + | 0.117493i | ||||
\(922\) | −3.83210e9 | − | 2.16243e10i | −0.161020 | − | 0.908622i | ||||
\(923\) | 8.10373e9 | + | 8.10373e9i | 0.339218 | + | 0.339218i | ||||
\(924\) | −1.02737e9 | − | 1.82173e9i | −0.0428426 | − | 0.0759683i | ||||
\(925\) | −5.05451e9 | + | 5.05451e9i | −0.209982 | + | 0.209982i | ||||
\(926\) | 1.49558e10 | − | 2.13981e10i | 0.618970 | − | 0.885600i | ||||
\(927\) | 1.24313e10 | + | 3.68429e10i | 0.512550 | + | 1.51906i | ||||
\(928\) | 1.08543e10 | + | 9.02869e9i | 0.445846 | + | 0.370857i | ||||
\(929\) | − | 2.16188e10i | − | 0.884660i | −0.896852 | − | 0.442330i | \(-0.854152\pi\) | ||
0.896852 | − | 0.442330i | \(-0.145848\pi\) | |||||||
\(930\) | −2.02487e10 | − | 9.71381e9i | −0.825479 | − | 0.396004i | ||||
\(931\) | −1.11798e9 | − | 1.11798e9i | −0.0454057 | − | 0.0454057i | ||||
\(932\) | −1.28255e10 | − | 3.50502e10i | −0.518941 | − | 1.41819i | ||||
\(933\) | −1.56848e10 | − | 1.12613e10i | −0.632256 | − | 0.453945i | ||||
\(934\) | 2.43729e10 | − | 4.31920e9i | 0.978799 | − | 0.173456i | ||||
\(935\) | − | 5.07787e9i | − | 0.203161i | ||||||
\(936\) | −1.39944e10 | + | 1.59816e10i | −0.557814 | + | 0.637023i | ||||
\(937\) | 1.51515e10i | 0.601682i | 0.953674 | + | 0.300841i | \(0.0972673\pi\) | ||||
−0.953674 | + | 0.300841i | \(0.902733\pi\) | |||||||
\(938\) | −2.03087e9 | − | 1.14601e10i | −0.0803475 | − | 0.453395i | ||||
\(939\) | −3.15506e10 | − | 2.26526e10i | −1.24359 | − | 0.892871i | ||||
\(940\) | −6.61666e10 | − | 3.07157e10i | −2.59831 | − | 1.20618i | ||||
\(941\) | −3.51178e9 | − | 3.51178e9i | −0.137393 | − | 0.137393i | 0.635066 | − | 0.772458i | \(-0.280973\pi\) |
−0.772458 | + | 0.635066i | \(0.780973\pi\) | |||||||
\(942\) | −4.73635e9 | + | 9.87303e9i | −0.184614 | + | 0.384833i | ||||
\(943\) | 4.15190e10i | 1.61234i | ||||||||
\(944\) | 3.19908e9 | + | 2.68808e8i | 0.123772 | + | 0.0104002i | ||||
\(945\) | 4.19400e10 | − | 2.22695e10i | 1.61665 | − | 0.858417i | ||||
\(946\) | 3.01791e9 | + | 2.10930e9i | 0.115901 | + | 0.0810065i | ||||
\(947\) | −3.02280e10 | + | 3.02280e10i | −1.15660 | + | 1.15660i | −0.171402 | + | 0.985201i | \(0.554830\pi\) |
−0.985201 | + | 0.171402i | \(0.945170\pi\) | |||||||
\(948\) | 4.90699e8 | − | 1.75997e9i | 0.0187062 | − | 0.0670930i | ||||
\(949\) | −2.35559e9 | − | 2.35559e9i | −0.0894680 | − | 0.0894680i | ||||
\(950\) | −4.90853e10 | + | 8.69855e9i | −1.85746 | + | 0.329165i | ||||
\(951\) | 1.35057e10 | − | 2.21710e9i | 0.509196 | − | 0.0835897i | ||||
\(952\) | −2.83566e10 | − | 7.51985e9i | −1.06519 | − | 0.282475i | ||||
\(953\) | 3.27290e10 | 1.22492 | 0.612461 | − | 0.790501i | \(-0.290180\pi\) | ||||
0.612461 | + | 0.790501i | \(0.290180\pi\) | |||||||
\(954\) | 1.96327e10 | + | 3.58684e10i | 0.732085 | + | 1.33750i | ||||
\(955\) | −6.87325e10 | + | 6.87325e10i | −2.55359 | + | 2.55359i | ||||
\(956\) | 5.09101e9 | + | 1.39130e10i | 0.188452 | + | 0.515013i | ||||
\(957\) | −1.16875e9 | − | 8.39135e8i | −0.0431052 | − | 0.0309485i | ||||
\(958\) | −2.23360e10 | − | 1.56112e10i | −0.820778 | − | 0.573665i | ||||
\(959\) | 1.65836e10 | 0.607175 | ||||||||
\(960\) | 1.83343e10 | − | 4.93467e10i | 0.668829 | − | 1.80015i | ||||
\(961\) | 2.12591e10 | 0.772705 | ||||||||
\(962\) | 2.11726e9 | + | 1.47981e9i | 0.0766763 | + | 0.0535912i | ||||
\(963\) | −9.52665e9 | + | 1.92293e10i | −0.343754 | + | 0.693859i | ||||
\(964\) | 9.01407e9 | + | 2.46341e10i | 0.324079 | + | 0.885662i | ||||
\(965\) | 3.69288e10 | − | 3.69288e10i | 1.32288 | − | 1.32288i | ||||
\(966\) | 8.96194e9 | + | 2.54889e10i | 0.319876 | + | 0.909769i | ||||
\(967\) | 4.75540e10 | 1.69120 | 0.845600 | − | 0.533818i | \(-0.179243\pi\) | ||||
0.845600 | + | 0.533818i | \(0.179243\pi\) | |||||||
\(968\) | −2.70492e10 | − | 7.17314e9i | −0.958497 | − | 0.254182i | ||||
\(969\) | −3.72281e9 | − | 2.26779e10i | −0.131443 | − | 0.800701i | ||||
\(970\) | −2.95553e10 | + | 5.23758e9i | −1.03976 | + | 0.184259i | ||||
\(971\) | 3.10181e10 | + | 3.10181e10i | 1.08730 | + | 1.08730i | 0.995806 | + | 0.0914900i | \(0.0291630\pi\) |
0.0914900 | + | 0.995806i | \(0.470837\pi\) | |||||||
\(972\) | −2.65997e10 | + | 1.05913e10i | −0.929061 | + | 0.369927i | ||||
\(973\) | −1.38277e10 | + | 1.38277e10i | −0.481233 | + | 0.481233i | ||||
\(974\) | −1.05387e10 | − | 7.36578e9i | −0.365451 | − | 0.255424i | ||||
\(975\) | −6.49973e10 | + | 1.06700e10i | −2.24584 | + | 0.368678i | ||||
\(976\) | −7.87961e8 | + | 9.37751e9i | −0.0271288 | + | 0.322859i | ||||
\(977\) | − | 3.53964e9i | − | 0.121430i | −0.998155 | − | 0.0607152i | \(-0.980662\pi\) | ||
0.998155 | − | 0.0607152i | \(-0.0193382\pi\) | |||||||
\(978\) | 7.88142e9 | + | 3.78092e9i | 0.269413 | + | 0.129244i | ||||
\(979\) | −2.19920e9 | − | 2.19920e9i | −0.0749073 | − | 0.0749073i | ||||
\(980\) | 4.69572e9 | + | 2.17983e9i | 0.159372 | + | 0.0739831i | ||||
\(981\) | 6.97550e9 | + | 3.45583e9i | 0.235903 | + | 0.116872i | ||||
\(982\) | −4.91791e9 | − | 2.77514e10i | −0.165726 | − | 0.935179i | ||||
\(983\) | 2.17172e10i | 0.729233i | 0.931158 | + | 0.364616i | \(0.118800\pi\) | ||||
−0.931158 | + | 0.364616i | \(0.881200\pi\) | |||||||
\(984\) | 3.02759e10 | + | 3.67666e10i | 1.01301 | + | 1.23018i | ||||
\(985\) | 7.60789e9i | 0.253652i | ||||||||
\(986\) | −1.98722e10 | + | 3.52162e9i | −0.660203 | + | 0.116997i | ||||
\(987\) | 2.50489e10 | − | 3.48882e10i | 0.829236 | − | 1.15496i | ||||
\(988\) | 6.19037e9 | + | 1.69174e10i | 0.204205 | + | 0.558064i | ||||
\(989\) | −3.36340e10 | − | 3.36340e10i | −1.10558 | − | 1.10558i | ||||
\(990\) | −1.50620e9 | + | 5.14891e9i | −0.0493356 | + | 0.168652i | ||||
\(991\) | − | 2.19631e10i | − | 0.716863i | −0.933556 | − | 0.358432i | \(-0.883312\pi\) | ||
0.933556 | − | 0.358432i | \(-0.116688\pi\) | |||||||
\(992\) | −1.34028e9 | − | 1.45970e10i | −0.0435918 | − | 0.474758i | ||||
\(993\) | −1.11644e9 | − | 6.80090e9i | −0.0361836 | − | 0.220417i | ||||
\(994\) | 9.57904e9 | − | 1.37053e10i | 0.309364 | − | 0.442626i | ||||
\(995\) | 5.42646e10 | − | 5.42646e10i | 1.74637 | − | 1.74637i | ||||
\(996\) | 2.76468e10 | − | 1.55915e10i | 0.886618 | − | 0.500012i | ||||
\(997\) | −1.74874e10 | − | 1.74874e10i | −0.558847 | − | 0.558847i | 0.370132 | − | 0.928979i | \(-0.379312\pi\) |
−0.928979 | + | 0.370132i | \(0.879312\pi\) | |||||||
\(998\) | 2.91502e9 | + | 1.64492e10i | 0.0928292 | + | 0.523828i | ||||
\(999\) | 1.63274e9 | + | 3.07492e9i | 0.0518128 | + | 0.0975787i |
(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 | 48.8.k.a.11.11 | ✓ | 108 | |
3.2 | odd | 2 | inner | 48.8.k.a.11.44 | yes | 108 | |
16.3 | odd | 4 | inner | 48.8.k.a.35.44 | yes | 108 | |
48.35 | even | 4 | inner | 48.8.k.a.35.11 | yes | 108 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.8.k.a.11.11 | ✓ | 108 | 1.1 | even | 1 | trivial | |
48.8.k.a.11.44 | yes | 108 | 3.2 | odd | 2 | inner | |
48.8.k.a.35.11 | yes | 108 | 48.35 | even | 4 | inner | |
48.8.k.a.35.44 | yes | 108 | 16.3 | odd | 4 | inner |