Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,8,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(21.5545667584\) |
Analytic rank: | \(0\) |
Dimension: | \(140\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 25.8 | ||
Character | \(\chi\) | \(=\) | 69.25 |
Dual form | 69.8.e.a.58.8 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.14494 | + | 1.37847i | 0.189587 | + | 0.121840i | 0.631991 | − | 0.774976i | \(-0.282238\pi\) |
−0.442404 | + | 0.896816i | \(0.645874\pi\) | |||||||
\(3\) | −3.84250 | − | 26.7252i | −0.0821655 | − | 0.571474i | ||||
\(4\) | −50.4725 | − | 110.519i | −0.394317 | − | 0.863433i | ||||
\(5\) | −464.485 | − | 136.385i | −1.66179 | − | 0.487946i | −0.690005 | − | 0.723805i | \(-0.742392\pi\) |
−0.971787 | + | 0.235859i | \(0.924210\pi\) | |||||||
\(6\) | 28.5978 | − | 62.6205i | 0.0540510 | − | 0.118355i | ||||
\(7\) | 1029.85 | − | 1188.50i | 1.13482 | − | 1.30966i | 0.190111 | − | 0.981763i | \(-0.439115\pi\) |
0.944714 | − | 0.327895i | \(-0.106339\pi\) | |||||||
\(8\) | 90.5329 | − | 629.670i | 0.0625161 | − | 0.434809i | ||||
\(9\) | −699.470 | + | 205.383i | −0.319831 | + | 0.0939109i | ||||
\(10\) | −808.288 | − | 932.814i | −0.255603 | − | 0.294982i | ||||
\(11\) | 3011.62 | − | 1935.45i | 0.682223 | − | 0.438438i | −0.153090 | − | 0.988212i | \(-0.548923\pi\) |
0.835313 | + | 0.549774i | \(0.185286\pi\) | |||||||
\(12\) | −2759.71 | + | 1773.56i | −0.461030 | + | 0.296286i | ||||
\(13\) | −3522.89 | − | 4065.63i | −0.444731 | − | 0.513247i | 0.488481 | − | 0.872575i | \(-0.337551\pi\) |
−0.933211 | + | 0.359328i | \(0.883006\pi\) | |||||||
\(14\) | 3847.27 | − | 1129.66i | 0.374718 | − | 0.110027i | ||||
\(15\) | −1860.13 | + | 12937.5i | −0.142306 | + | 0.989763i | ||||
\(16\) | −9122.15 | + | 10527.5i | −0.556772 | + | 0.642549i | ||||
\(17\) | −14498.6 | + | 31747.5i | −0.715739 | + | 1.56725i | 0.104042 | + | 0.994573i | \(0.466822\pi\) |
−0.819781 | + | 0.572677i | \(0.805905\pi\) | |||||||
\(18\) | −1783.43 | − | 523.663i | −0.0720780 | − | 0.0211640i | ||||
\(19\) | −20754.7 | − | 45446.5i | −0.694191 | − | 1.52007i | −0.846875 | − | 0.531792i | \(-0.821519\pi\) |
0.152683 | − | 0.988275i | \(-0.451209\pi\) | |||||||
\(20\) | 8370.53 | + | 58218.3i | 0.233963 | + | 1.62725i | ||||
\(21\) | −35720.2 | − | 22956.0i | −0.841678 | − | 0.540914i | ||||
\(22\) | 9127.70 | 0.182760 | ||||||||
\(23\) | 50820.8 | + | 28671.8i | 0.870952 | + | 0.491368i | ||||
\(24\) | −17175.9 | −0.253618 | ||||||||
\(25\) | 131423. | + | 84460.1i | 1.68221 | + | 1.08109i | ||||
\(26\) | −1952.03 | − | 13576.7i | −0.0217811 | − | 0.151491i | ||||
\(27\) | 8176.61 | + | 17904.3i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −183332. | − | 53831.1i | −1.57828 | − | 0.463426i | ||||
\(29\) | 68687.9 | − | 150406.i | 0.522983 | − | 1.14517i | −0.445315 | − | 0.895374i | \(-0.646908\pi\) |
0.968298 | − | 0.249799i | \(-0.0803644\pi\) | |||||||
\(30\) | −21823.8 | + | 25186.0i | −0.147573 | + | 0.170308i | ||||
\(31\) | −18300.9 | + | 127285.i | −0.110333 | + | 0.767384i | 0.857262 | + | 0.514880i | \(0.172163\pi\) |
−0.967596 | + | 0.252505i | \(0.918746\pi\) | |||||||
\(32\) | −112207. | + | 32946.8i | −0.605331 | + | 0.177741i | ||||
\(33\) | −63297.5 | − | 73049.2i | −0.306611 | − | 0.353848i | ||||
\(34\) | −74861.4 | + | 48110.5i | −0.326649 | + | 0.209925i | ||||
\(35\) | −640442. | + | 411587.i | −2.52489 | + | 1.62265i | ||||
\(36\) | 58002.9 | + | 66938.9i | 0.207200 | + | 0.239122i | ||||
\(37\) | 146956. | − | 43150.1i | 0.476958 | − | 0.140048i | −0.0344125 | − | 0.999408i | \(-0.510956\pi\) |
0.511371 | + | 0.859360i | \(0.329138\pi\) | |||||||
\(38\) | 18128.9 | − | 126089.i | 0.0535957 | − | 0.372766i | ||||
\(39\) | −95118.0 | + | 109772.i | −0.256765 | + | 0.296323i | ||||
\(40\) | −127929. | + | 280125.i | −0.316052 | + | 0.692057i | ||||
\(41\) | −111352. | − | 32695.9i | −0.252322 | − | 0.0740884i | 0.153126 | − | 0.988207i | \(-0.451066\pi\) |
−0.405448 | + | 0.914118i | \(0.632884\pi\) | |||||||
\(42\) | −44973.5 | − | 98478.1i | −0.0936664 | − | 0.205101i | ||||
\(43\) | 47299.1 | + | 328973.i | 0.0907222 | + | 0.630987i | 0.983556 | + | 0.180601i | \(0.0578044\pi\) |
−0.892834 | + | 0.450386i | \(0.851287\pi\) | |||||||
\(44\) | −365910. | − | 235156.i | −0.647574 | − | 0.416171i | ||||
\(45\) | 352905. | 0.577316 | ||||||||
\(46\) | 69484.3 | + | 131554.i | 0.105253 | + | 0.199274i | ||||
\(47\) | 677797. | 0.952264 | 0.476132 | − | 0.879374i | \(-0.342038\pi\) | ||||
0.476132 | + | 0.879374i | \(0.342038\pi\) | |||||||
\(48\) | 316402. | + | 203339.i | 0.412947 | + | 0.265385i | ||||
\(49\) | −234760. | − | 1.63279e6i | −0.285061 | − | 1.98264i | ||||
\(50\) | 165467. | + | 362323.i | 0.187205 | + | 0.409922i | ||||
\(51\) | 904168. | + | 265488.i | 0.954451 | + | 0.280252i | ||||
\(52\) | −271522. | + | 594550.i | −0.267789 | + | 0.586377i | ||||
\(53\) | −489376. | + | 564770.i | −0.451520 | + | 0.521082i | −0.935180 | − | 0.354174i | \(-0.884762\pi\) |
0.483659 | + | 0.875257i | \(0.339307\pi\) | |||||||
\(54\) | −7142.15 | + | 49674.7i | −0.00617235 | + | 0.0429297i | ||||
\(55\) | −1.66282e6 | + | 488248.i | −1.34765 | + | 0.395705i | ||||
\(56\) | −655131. | − | 756062.i | −0.498506 | − | 0.575306i | ||||
\(57\) | −1.13482e6 | + | 729302.i | −0.811640 | + | 0.521609i | ||||
\(58\) | 354660. | − | 227926.i | 0.238679 | − | 0.153390i | ||||
\(59\) | −644099. | − | 743330.i | −0.408292 | − | 0.471194i | 0.513943 | − | 0.857824i | \(-0.328184\pi\) |
−0.922235 | + | 0.386630i | \(0.873639\pi\) | |||||||
\(60\) | 1.52373e6 | − | 447408.i | 0.910708 | − | 0.267408i | ||||
\(61\) | 227626. | − | 1.58317e6i | 0.128400 | − | 0.893045i | −0.819182 | − | 0.573534i | \(-0.805572\pi\) |
0.947582 | − | 0.319511i | \(-0.103519\pi\) | |||||||
\(62\) | −214713. | + | 247792.i | −0.114416 | + | 0.132043i | ||||
\(63\) | −476248. | + | 1.04284e6i | −0.239961 | + | 0.525441i | ||||
\(64\) | 1.42471e6 | + | 418333.i | 0.679355 | + | 0.199477i | ||||
\(65\) | 1.08184e6 | + | 2.36889e6i | 0.488613 | + | 1.06991i | ||||
\(66\) | −35073.2 | − | 243939.i | −0.0150166 | − | 0.104443i | ||||
\(67\) | 122681. | + | 78842.4i | 0.0498329 | + | 0.0320256i | 0.565320 | − | 0.824872i | \(-0.308753\pi\) |
−0.515487 | + | 0.856897i | \(0.672389\pi\) | |||||||
\(68\) | 4.24050e6 | 1.63544 | ||||||||
\(69\) | 570979. | − | 1.46837e6i | 0.209242 | − | 0.538100i | ||||
\(70\) | −1.94107e6 | −0.676390 | ||||||||
\(71\) | 2.25335e6 | + | 1.44814e6i | 0.747179 | + | 0.480183i | 0.857995 | − | 0.513658i | \(-0.171710\pi\) |
−0.110816 | + | 0.993841i | \(0.535346\pi\) | |||||||
\(72\) | 65998.5 | + | 459030.i | 0.0208387 | + | 0.144936i | ||||
\(73\) | −2.18645e6 | − | 4.78767e6i | −0.657825 | − | 1.44044i | −0.884535 | − | 0.466473i | \(-0.845524\pi\) |
0.226710 | − | 0.973962i | \(-0.427203\pi\) | |||||||
\(74\) | 374692. | + | 110019.i | 0.107489 | + | 0.0315615i | ||||
\(75\) | 1.75222e6 | − | 3.83683e6i | 0.479595 | − | 1.05017i | ||||
\(76\) | −3.97518e6 | + | 4.58760e6i | −1.03875 | + | 1.19878i | ||||
\(77\) | 801211. | − | 5.57255e6i | 0.200000 | − | 1.39103i | ||||
\(78\) | −355339. | + | 104337.i | −0.0847836 | + | 0.0248947i | ||||
\(79\) | 1.36356e6 | + | 1.57363e6i | 0.311157 | + | 0.359095i | 0.889690 | − | 0.456564i | \(-0.150920\pi\) |
−0.578533 | + | 0.815659i | \(0.696375\pi\) | |||||||
\(80\) | 5.67290e6 | − | 3.64575e6i | 1.23877 | − | 0.796108i | ||||
\(81\) | 447077. | − | 287319.i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −193773. | − | 223626.i | −0.0388101 | − | 0.0447892i | ||||
\(83\) | −2.15391e6 | + | 632444.i | −0.413479 | + | 0.121408i | −0.481854 | − | 0.876251i | \(-0.660037\pi\) |
0.0683755 | + | 0.997660i | \(0.478218\pi\) | |||||||
\(84\) | −734193. | + | 5.10642e6i | −0.135155 | + | 0.940024i | ||||
\(85\) | 1.10643e7 | − | 1.27688e7i | 1.95414 | − | 2.25520i | ||||
\(86\) | −352024. | + | 770826.i | −0.0596799 | + | 0.130681i | ||||
\(87\) | −4.28355e6 | − | 1.25776e6i | −0.697407 | − | 0.204777i | ||||
\(88\) | −946046. | − | 2.07155e6i | −0.147987 | − | 0.324046i | ||||
\(89\) | 106792. | + | 742753.i | 0.0160573 | + | 0.111681i | 0.996274 | − | 0.0862477i | \(-0.0274877\pi\) |
−0.980216 | + | 0.197929i | \(0.936579\pi\) | |||||||
\(90\) | 756958. | + | 486467.i | 0.109452 | + | 0.0703404i | ||||
\(91\) | −8.46005e6 | −1.17687 | ||||||||
\(92\) | 603734. | − | 7.06383e6i | 0.0808329 | − | 0.945764i | ||||
\(93\) | 3.47205e6 | 0.447606 | ||||||||
\(94\) | 1.45383e6 | + | 934321.i | 0.180537 | + | 0.116024i | ||||
\(95\) | 3.44203e6 | + | 2.39399e7i | 0.411891 | + | 2.86476i | ||||
\(96\) | 1.31166e6 | + | 2.87214e6i | 0.151312 | + | 0.331327i | ||||
\(97\) | −4.62353e6 | − | 1.35759e6i | −0.514367 | − | 0.151032i | 0.0142399 | − | 0.999899i | \(-0.495467\pi\) |
−0.528607 | + | 0.848867i | \(0.677285\pi\) | |||||||
\(98\) | 1.74720e6 | − | 3.82584e6i | 0.187522 | − | 0.410616i | ||||
\(99\) | −1.70903e6 | + | 1.97233e6i | −0.177022 | + | 0.204294i | ||||
\(100\) | 2.70126e6 | − | 1.87877e7i | 0.270126 | − | 1.87877i | ||||
\(101\) | −7.96776e6 | + | 2.33954e6i | −0.769505 | + | 0.225947i | −0.642842 | − | 0.765999i | \(-0.722245\pi\) |
−0.126663 | + | 0.991946i | \(0.540427\pi\) | |||||||
\(102\) | 1.57342e6 | + | 1.81582e6i | 0.146806 | + | 0.169423i | ||||
\(103\) | −7.49755e6 | + | 4.81838e6i | −0.676066 | + | 0.434481i | −0.833108 | − | 0.553111i | \(-0.813441\pi\) |
0.157042 | + | 0.987592i | \(0.449804\pi\) | |||||||
\(104\) | −2.87894e6 | + | 1.85018e6i | −0.250967 | + | 0.161287i | ||||
\(105\) | 1.34606e7 | + | 1.55344e7i | 1.13476 | + | 1.30958i | ||||
\(106\) | −1.82820e6 | + | 536807.i | −0.149091 | + | 0.0437772i | ||||
\(107\) | 2.06505e6 | − | 1.43627e7i | 0.162962 | − | 1.13343i | −0.730049 | − | 0.683395i | \(-0.760503\pi\) |
0.893012 | − | 0.450034i | \(-0.148588\pi\) | |||||||
\(108\) | 1.56608e6 | − | 1.80735e6i | 0.119627 | − | 0.138057i | ||||
\(109\) | 1.73025e6 | − | 3.78872e6i | 0.127972 | − | 0.280221i | −0.834790 | − | 0.550568i | \(-0.814411\pi\) |
0.962763 | + | 0.270347i | \(0.0871385\pi\) | |||||||
\(110\) | −4.23968e6 | − | 1.24488e6i | −0.303710 | − | 0.0891772i | ||||
\(111\) | −1.71787e6 | − | 3.76161e6i | −0.119223 | − | 0.261062i | ||||
\(112\) | 3.11761e6 | + | 2.16834e7i | 0.209681 | + | 1.45836i | ||||
\(113\) | 2.28927e6 | + | 1.47122e6i | 0.149253 | + | 0.0959190i | 0.613136 | − | 0.789978i | \(-0.289908\pi\) |
−0.463883 | + | 0.885896i | \(0.653544\pi\) | |||||||
\(114\) | −3.43942e6 | −0.217430 | ||||||||
\(115\) | −1.96951e7 | − | 2.02488e7i | −1.20758 | − | 1.24153i | ||||
\(116\) | −2.00896e7 | −1.19500 | ||||||||
\(117\) | 3.29917e6 | + | 2.12025e6i | 0.190438 | + | 0.122387i | ||||
\(118\) | −356896. | − | 2.48227e6i | −0.0199965 | − | 0.139079i | ||||
\(119\) | 2.28007e7 | + | 4.99267e7i | 1.24032 | + | 2.71593i | ||||
\(120\) | 7.97796e6 | + | 2.34254e6i | 0.421461 | + | 0.123752i | ||||
\(121\) | −2.77136e6 | + | 6.06844e6i | −0.142215 | + | 0.311407i | ||||
\(122\) | 2.67059e6 | − | 3.08203e6i | 0.133152 | − | 0.153666i | ||||
\(123\) | −445934. | + | 3.10154e6i | −0.0216074 | + | 0.150283i | ||||
\(124\) | 1.49912e7 | − | 4.40182e6i | 0.706091 | − | 0.207327i | ||||
\(125\) | −2.47579e7 | − | 2.85722e7i | −1.13378 | − | 1.30845i | ||||
\(126\) | −2.45904e6 | + | 1.58033e6i | −0.109514 | + | 0.0703801i | ||||
\(127\) | −3.52812e7 | + | 2.26739e7i | −1.52838 | + | 0.982228i | −0.538137 | + | 0.842857i | \(0.680872\pi\) |
−0.990240 | + | 0.139371i | \(0.955492\pi\) | |||||||
\(128\) | 1.22817e7 | + | 1.41739e7i | 0.517636 | + | 0.597383i | ||||
\(129\) | 8.61011e6 | − | 2.52816e6i | 0.353138 | − | 0.103691i | ||||
\(130\) | −944968. | + | 6.57240e6i | −0.0377238 | + | 0.262375i | ||||
\(131\) | 5.71044e6 | − | 6.59020e6i | 0.221932 | − | 0.256123i | −0.633855 | − | 0.773452i | \(-0.718528\pi\) |
0.855787 | + | 0.517329i | \(0.173074\pi\) | |||||||
\(132\) | −4.87857e6 | + | 1.06826e7i | −0.184622 | + | 0.404266i | ||||
\(133\) | −7.53875e7 | − | 2.21358e7i | −2.77855 | − | 0.815857i | ||||
\(134\) | 154462. | + | 338224.i | 0.00554566 | + | 0.0121433i | ||||
\(135\) | −1.35604e6 | − | 9.43144e6i | −0.0474355 | − | 0.329921i | ||||
\(136\) | 1.86779e7 | + | 1.20035e7i | 0.636709 | + | 0.409188i | ||||
\(137\) | −1.03770e7 | −0.344787 | −0.172393 | − | 0.985028i | \(-0.555150\pi\) | ||||
−0.172393 | + | 0.985028i | \(0.555150\pi\) | |||||||
\(138\) | 3.24881e6 | − | 2.36248e6i | 0.105232 | − | 0.0765227i | ||||
\(139\) | 2.76690e7 | 0.873858 | 0.436929 | − | 0.899496i | \(-0.356066\pi\) | ||||
0.436929 | + | 0.899496i | \(0.356066\pi\) | |||||||
\(140\) | 7.78131e7 | + | 5.00075e7i | 2.39665 | + | 1.54023i | ||||
\(141\) | −2.60444e6 | − | 1.81143e7i | −0.0782433 | − | 0.544194i | ||||
\(142\) | 2.83708e6 | + | 6.21234e6i | 0.0831500 | + | 0.182073i | ||||
\(143\) | −1.84785e7 | − | 5.42576e6i | −0.528432 | − | 0.155162i | ||||
\(144\) | 4.21850e6 | − | 9.23723e6i | 0.117731 | − | 0.257794i | ||||
\(145\) | −5.24176e7 | + | 6.04931e7i | −1.42787 | + | 1.64785i | ||||
\(146\) | 1.90983e6 | − | 1.32832e7i | 0.0507880 | − | 0.353238i | ||||
\(147\) | −4.27346e7 | + | 1.25480e7i | −1.10961 | + | 0.325810i | ||||
\(148\) | −1.21862e7 | − | 1.40636e7i | −0.308994 | − | 0.356599i | ||||
\(149\) | −1.71519e6 | + | 1.10228e6i | −0.0424776 | + | 0.0272987i | −0.561707 | − | 0.827336i | \(-0.689855\pi\) |
0.519230 | + | 0.854635i | \(0.326219\pi\) | |||||||
\(150\) | 9.04734e6 | − | 5.81437e6i | 0.218878 | − | 0.140664i | ||||
\(151\) | −4.59566e7 | − | 5.30367e7i | −1.08625 | − | 1.25359i | −0.965358 | − | 0.260929i | \(-0.915971\pi\) |
−0.120888 | − | 0.992666i | \(-0.538574\pi\) | |||||||
\(152\) | −3.04953e7 | + | 8.95423e6i | −0.704337 | + | 0.206812i | ||||
\(153\) | 3.62094e6 | − | 2.51842e7i | 0.0817338 | − | 0.568471i | ||||
\(154\) | 9.40012e6 | − | 1.08483e7i | 0.207401 | − | 0.239353i | ||||
\(155\) | 2.58603e7 | − | 5.66262e7i | 0.557793 | − | 1.22140i | ||||
\(156\) | 1.69328e7 | + | 4.97191e6i | 0.357102 | + | 0.104855i | ||||
\(157\) | −1.48846e7 | − | 3.25928e7i | −0.306965 | − | 0.672160i | 0.691787 | − | 0.722102i | \(-0.256824\pi\) |
−0.998752 | + | 0.0499415i | \(0.984097\pi\) | |||||||
\(158\) | 755550. | + | 5.25497e6i | 0.0152392 | + | 0.105991i | ||||
\(159\) | 1.69740e7 | + | 1.09085e7i | 0.334884 | + | 0.215217i | ||||
\(160\) | 5.66117e7 | 1.09266 | ||||||||
\(161\) | 8.64141e7 | − | 3.08733e7i | 1.63190 | − | 0.583032i | ||||
\(162\) | 1.35501e6 | 0.0250403 | ||||||||
\(163\) | 8.31260e6 | + | 5.34218e6i | 0.150342 | + | 0.0966189i | 0.613649 | − | 0.789579i | \(-0.289701\pi\) |
−0.463307 | + | 0.886198i | \(0.653337\pi\) | |||||||
\(164\) | 2.00669e6 | + | 1.39568e7i | 0.0355244 | + | 0.247077i | ||||
\(165\) | 1.94379e7 | + | 4.25631e7i | 0.336865 | + | 0.737632i | ||||
\(166\) | −5.49179e6 | − | 1.61254e6i | −0.0931828 | − | 0.0273609i | ||||
\(167\) | −892759. | + | 1.95487e6i | −0.0148329 | + | 0.0324795i | −0.916903 | − | 0.399109i | \(-0.869319\pi\) |
0.902071 | + | 0.431589i | \(0.142047\pi\) | |||||||
\(168\) | −1.76885e7 | + | 2.04137e7i | −0.287812 | + | 0.332153i | ||||
\(169\) | 4.81144e6 | − | 3.34643e7i | 0.0766782 | − | 0.533309i | ||||
\(170\) | 4.13336e7 | − | 1.21366e7i | 0.645255 | − | 0.189464i | ||||
\(171\) | 2.38513e7 | + | 2.75258e7i | 0.364775 | + | 0.420973i | ||||
\(172\) | 3.39706e7 | − | 2.18316e7i | 0.509042 | − | 0.327141i | ||||
\(173\) | −4.42667e7 | + | 2.84485e7i | −0.650004 | + | 0.417732i | −0.823668 | − | 0.567073i | \(-0.808076\pi\) |
0.173664 | + | 0.984805i | \(0.444439\pi\) | |||||||
\(174\) | −7.45415e6 | − | 8.60255e6i | −0.107269 | − | 0.123796i | ||||
\(175\) | 2.35726e8 | − | 6.92154e7i | 3.32487 | − | 0.976269i | ||||
\(176\) | −7.09696e6 | + | 4.93604e7i | −0.0981246 | + | 0.682472i | ||||
\(177\) | −1.73907e7 | + | 2.00699e7i | −0.235728 | + | 0.272044i | ||||
\(178\) | −794798. | + | 1.74037e6i | −0.0105630 | + | 0.0231297i | ||||
\(179\) | −8.58431e7 | − | 2.52058e7i | −1.11872 | − | 0.328485i | −0.330452 | − | 0.943823i | \(-0.607201\pi\) |
−0.788263 | + | 0.615338i | \(0.789019\pi\) | |||||||
\(180\) | −1.78120e7 | − | 3.90028e7i | −0.227645 | − | 0.498474i | ||||
\(181\) | −2.34481e6 | − | 1.63085e7i | −0.0293922 | − | 0.204427i | 0.969834 | − | 0.243768i | \(-0.0783834\pi\) |
−0.999226 | + | 0.0393403i | \(0.987474\pi\) | |||||||
\(182\) | −1.81463e7 | − | 1.16619e7i | −0.223119 | − | 0.143390i | ||||
\(183\) | −4.31852e7 | −0.520902 | ||||||||
\(184\) | 2.26547e7 | − | 2.94046e7i | 0.268100 | − | 0.347979i | ||||
\(185\) | −7.41438e7 | −0.860941 | ||||||||
\(186\) | 7.44732e6 | + | 4.78610e6i | 0.0848603 | + | 0.0545364i | ||||
\(187\) | 1.77815e7 | + | 1.23673e8i | 0.198848 | + | 1.38302i | ||||
\(188\) | −3.42102e7 | − | 7.49098e7i | −0.375494 | − | 0.822216i | ||||
\(189\) | 2.97000e7 | + | 8.72070e6i | 0.319992 | + | 0.0939583i | ||||
\(190\) | −2.56173e7 | + | 5.60942e7i | −0.270955 | + | 0.593308i | ||||
\(191\) | −7.71052e7 | + | 8.89842e7i | −0.800695 | + | 0.924051i | −0.998419 | − | 0.0562066i | \(-0.982099\pi\) |
0.197724 | + | 0.980258i | \(0.436645\pi\) | |||||||
\(192\) | 5.70557e6 | − | 3.96831e7i | 0.0581761 | − | 0.404624i | ||||
\(193\) | 1.06384e8 | − | 3.12370e7i | 1.06518 | − | 0.312766i | 0.298246 | − | 0.954489i | \(-0.403598\pi\) |
0.766936 | + | 0.641723i | \(0.221780\pi\) | |||||||
\(194\) | −8.04579e6 | − | 9.28533e6i | −0.0791156 | − | 0.0913043i | ||||
\(195\) | 5.91521e7 | − | 3.80148e7i | 0.571280 | − | 0.367140i | ||||
\(196\) | −1.68606e8 | + | 1.08357e8i | −1.59948 | + | 1.02792i | ||||
\(197\) | 8.44546e7 | + | 9.74658e7i | 0.787030 | + | 0.908282i | 0.997596 | − | 0.0692981i | \(-0.0220760\pi\) |
−0.210565 | + | 0.977580i | \(0.567531\pi\) | |||||||
\(198\) | −6.38455e6 | + | 1.87467e6i | −0.0584524 | + | 0.0171632i | ||||
\(199\) | 2.65484e7 | − | 1.84648e8i | 0.238810 | − | 1.66096i | −0.419158 | − | 0.907914i | \(-0.637675\pi\) |
0.657968 | − | 0.753046i | \(-0.271416\pi\) | |||||||
\(200\) | 6.50801e7 | − | 7.51064e7i | 0.575232 | − | 0.663853i | ||||
\(201\) | 1.63567e6 | − | 3.58163e6i | 0.0142073 | − | 0.0311096i | ||||
\(202\) | −2.03153e7 | − | 5.96511e6i | −0.173418 | − | 0.0509201i | ||||
\(203\) | −1.08020e8 | − | 2.36530e8i | −0.906290 | − | 1.98450i | ||||
\(204\) | −1.62941e7 | − | 1.13328e8i | −0.134377 | − | 0.934613i | ||||
\(205\) | 4.72622e7 | + | 3.03735e7i | 0.383155 | + | 0.246239i | ||||
\(206\) | −2.27237e7 | −0.181111 | ||||||||
\(207\) | −4.14363e7 | − | 9.61733e6i | −0.324702 | − | 0.0753630i | ||||
\(208\) | 7.49373e7 | 0.577400 | ||||||||
\(209\) | −1.50465e8 | − | 9.66980e7i | −1.14005 | − | 0.732665i | ||||
\(210\) | 7.45855e6 | + | 5.18753e7i | 0.0555759 | + | 0.386539i | ||||
\(211\) | 5.39019e7 | + | 1.18029e8i | 0.395017 | + | 0.864966i | 0.997751 | + | 0.0670241i | \(0.0213504\pi\) |
−0.602735 | + | 0.797942i | \(0.705922\pi\) | |||||||
\(212\) | 8.71182e7 | + | 2.55802e7i | 0.627962 | + | 0.184386i | ||||
\(213\) | 3.00433e7 | − | 6.57857e7i | 0.213019 | − | 0.466448i | ||||
\(214\) | 2.42280e7 | − | 2.79605e7i | 0.168993 | − | 0.195028i | ||||
\(215\) | 2.28972e7 | − | 1.59254e8i | 0.157126 | − | 1.09284i | ||||
\(216\) | 1.20140e7 | − | 3.52764e6i | 0.0811150 | − | 0.0238175i | ||||
\(217\) | 1.32432e8 | + | 1.52835e8i | 0.879802 | + | 1.01535i | ||||
\(218\) | 8.93391e6 | − | 5.74147e6i | 0.0584041 | − | 0.0375341i | ||||
\(219\) | −1.19550e8 | + | 7.68300e7i | −0.769121 | + | 0.494284i | ||||
\(220\) | 1.37888e8 | + | 1.59131e8i | 0.873065 | + | 1.00757i | ||||
\(221\) | 1.80150e8 | − | 5.28970e7i | 1.12270 | − | 0.329654i | ||||
\(222\) | 1.50053e6 | − | 1.04364e7i | 0.00920472 | − | 0.0640202i | ||||
\(223\) | −1.57358e8 | + | 1.81600e8i | −0.950213 | + | 1.09660i | 0.0450115 | + | 0.998986i | \(0.485668\pi\) |
−0.995224 | + | 0.0976173i | \(0.968878\pi\) | |||||||
\(224\) | −7.63979e7 | + | 1.67288e8i | −0.454165 | + | 0.994482i | ||||
\(225\) | −1.09273e8 | − | 3.20854e7i | −0.639548 | − | 0.187788i | ||||
\(226\) | 2.88230e6 | + | 6.31137e6i | 0.0166096 | + | 0.0363700i | ||||
\(227\) | −7.18349e6 | − | 4.99623e7i | −0.0407610 | − | 0.283499i | −1.00000 | 0.000901548i | \(-0.999713\pi\) | |
0.959239 | − | 0.282597i | \(-0.0911961\pi\) | |||||||
\(228\) | 1.37879e8 | + | 8.86095e7i | 0.770418 | + | 0.495118i | ||||
\(229\) | 9.80945e7 | 0.539784 | 0.269892 | − | 0.962891i | \(-0.413012\pi\) | ||||
0.269892 | + | 0.962891i | \(0.413012\pi\) | |||||||
\(230\) | −1.43324e7 | − | 7.05814e7i | −0.0776733 | − | 0.382510i | ||||
\(231\) | −1.52006e8 | −0.811370 | ||||||||
\(232\) | −8.84874e7 | − | 5.68674e7i | −0.465236 | − | 0.298989i | ||||
\(233\) | 3.43678e7 | + | 2.39033e8i | 0.177994 | + | 1.23798i | 0.861396 | + | 0.507934i | \(0.169591\pi\) |
−0.683402 | + | 0.730043i | \(0.739500\pi\) | |||||||
\(234\) | 4.15381e6 | + | 9.09558e6i | 0.0211929 | + | 0.0464061i | ||||
\(235\) | −3.14827e8 | − | 9.24415e7i | −1.58247 | − | 0.464654i | ||||
\(236\) | −4.96431e7 | + | 1.08703e8i | −0.245848 | + | 0.538333i | ||||
\(237\) | 3.68162e7 | − | 4.24881e7i | 0.179647 | − | 0.207323i | ||||
\(238\) | −1.99161e7 | + | 1.38520e8i | −0.0957602 | + | 0.666027i | ||||
\(239\) | 1.71072e8 | − | 5.02312e7i | 0.810562 | − | 0.238002i | 0.149914 | − | 0.988699i | \(-0.452100\pi\) |
0.660647 | + | 0.750697i | \(0.270282\pi\) | |||||||
\(240\) | −1.19231e8 | − | 1.37600e8i | −0.556739 | − | 0.642511i | ||||
\(241\) | −8.76113e7 | + | 5.63044e7i | −0.403181 | + | 0.259109i | −0.726479 | − | 0.687188i | \(-0.758845\pi\) |
0.323298 | + | 0.946297i | \(0.395208\pi\) | |||||||
\(242\) | −1.43095e7 | + | 9.19618e6i | −0.0649040 | + | 0.0417113i | ||||
\(243\) | −9.39654e6 | − | 1.08442e7i | −0.0420093 | − | 0.0484814i | ||||
\(244\) | −1.86460e8 | + | 5.47496e7i | −0.821715 | + | 0.241277i | ||||
\(245\) | −1.13646e8 | + | 7.90425e8i | −0.493711 | + | 3.43383i | ||||
\(246\) | −5.23187e6 | + | 6.03790e6i | −0.0224070 | + | 0.0258591i | ||||
\(247\) | −1.11652e8 | + | 2.44484e8i | −0.471441 | + | 1.03231i | ||||
\(248\) | 7.84911e7 | + | 2.30471e7i | 0.326768 | + | 0.0959477i | ||||
\(249\) | 2.51786e7 | + | 5.51333e7i | 0.103355 | + | 0.226317i | ||||
\(250\) | −1.37184e7 | − | 9.54135e7i | −0.0555281 | − | 0.386207i | ||||
\(251\) | −7.60937e7 | − | 4.89025e7i | −0.303732 | − | 0.195197i | 0.379892 | − | 0.925031i | \(-0.375961\pi\) |
−0.683625 | + | 0.729834i | \(0.739597\pi\) | |||||||
\(252\) | 1.39291e8 | 0.548304 | ||||||||
\(253\) | 2.08546e8 | − | 1.20127e7i | 0.809618 | − | 0.0466357i | ||||
\(254\) | −1.06931e8 | −0.409436 | ||||||||
\(255\) | −3.83764e8 | − | 2.46630e8i | −1.44935 | − | 0.931442i | ||||
\(256\) | −2.02433e7 | − | 1.40795e8i | −0.0754123 | − | 0.524504i | ||||
\(257\) | −1.12841e8 | − | 2.47088e8i | −0.414669 | − | 0.907999i | −0.995570 | − | 0.0940247i | \(-0.970027\pi\) |
0.580901 | − | 0.813975i | \(-0.302701\pi\) | |||||||
\(258\) | 2.19531e7 | + | 6.44601e6i | 0.0795842 | + | 0.0233680i | ||||
\(259\) | 1.00058e8 | − | 2.19096e8i | 0.357850 | − | 0.783582i | ||||
\(260\) | 2.07206e8 | − | 2.39128e8i | 0.731131 | − | 0.843770i | ||||
\(261\) | −1.71544e7 | + | 1.19312e8i | −0.0597220 | + | 0.415375i | ||||
\(262\) | 2.13329e7 | − | 6.26390e6i | 0.0732817 | − | 0.0215174i | ||||
\(263\) | −1.00199e8 | − | 1.15636e8i | −0.339639 | − | 0.391965i | 0.560076 | − | 0.828441i | \(-0.310772\pi\) |
−0.899716 | + | 0.436476i | \(0.856226\pi\) | |||||||
\(264\) | −5.17274e7 | + | 3.32432e7i | −0.173024 | + | 0.111196i | ||||
\(265\) | 3.04334e8 | − | 1.95584e8i | 1.00459 | − | 0.645613i | ||||
\(266\) | −1.31188e8 | − | 1.51399e8i | −0.427374 | − | 0.493216i | ||||
\(267\) | 1.94398e7 | − | 5.70805e6i | 0.0625034 | − | 0.0183526i | ||||
\(268\) | 2.52159e6 | − | 1.75380e7i | 0.00800207 | − | 0.0556556i | ||||
\(269\) | −2.55448e8 | + | 2.94803e8i | −0.800148 | + | 0.923420i | −0.998389 | − | 0.0567335i | \(-0.981931\pi\) |
0.198242 | + | 0.980153i | \(0.436477\pi\) | |||||||
\(270\) | 1.00923e7 | − | 2.20991e7i | 0.0312045 | − | 0.0683284i | ||||
\(271\) | 4.75292e8 | + | 1.39558e8i | 1.45067 | + | 0.425955i | 0.909763 | − | 0.415129i | \(-0.136263\pi\) |
0.540906 | + | 0.841083i | \(0.318082\pi\) | |||||||
\(272\) | −2.01964e8 | − | 4.42240e8i | −0.608532 | − | 1.33250i | ||||
\(273\) | 3.25077e7 | + | 2.26096e8i | 0.0966980 | + | 0.672549i | ||||
\(274\) | −2.22580e7 | − | 1.43044e7i | −0.0653672 | − | 0.0420089i | ||||
\(275\) | 5.59264e8 | 1.62163 | ||||||||
\(276\) | −1.91102e8 | + | 1.10079e7i | −0.547121 | + | 0.0315153i | ||||
\(277\) | −4.19243e8 | −1.18519 | −0.592593 | − | 0.805502i | \(-0.701896\pi\) | ||||
−0.592593 | + | 0.805502i | \(0.701896\pi\) | |||||||
\(278\) | 5.93481e7 | + | 3.81407e7i | 0.165672 | + | 0.106471i | ||||
\(279\) | −1.33413e7 | − | 9.27911e7i | −0.0367777 | − | 0.255795i | ||||
\(280\) | 2.01183e8 | + | 4.40529e8i | 0.547694 | + | 1.19928i | ||||
\(281\) | −4.50783e7 | − | 1.32362e7i | −0.121198 | − | 0.0355869i | 0.220571 | − | 0.975371i | \(-0.429208\pi\) |
−0.341769 | + | 0.939784i | \(0.611026\pi\) | |||||||
\(282\) | 1.93835e7 | − | 4.24440e7i | 0.0514709 | − | 0.112705i | ||||
\(283\) | 1.49604e8 | − | 1.72653e8i | 0.392366 | − | 0.452815i | −0.524856 | − | 0.851191i | \(-0.675881\pi\) |
0.917222 | + | 0.398376i | \(0.130426\pi\) | |||||||
\(284\) | 4.63154e7 | − | 3.22130e8i | 0.119981 | − | 0.834483i | ||||
\(285\) | 6.26571e8 | − | 1.83978e8i | 1.60329 | − | 0.470770i | ||||
\(286\) | −3.21559e7 | − | 3.71098e7i | −0.0812791 | − | 0.0938011i | ||||
\(287\) | −1.53535e8 | + | 9.86708e7i | −0.383372 | + | 0.246378i | ||||
\(288\) | 7.17184e7 | − | 4.60906e7i | 0.176912 | − | 0.113694i | ||||
\(289\) | −5.28980e8 | − | 6.10475e8i | −1.28913 | − | 1.48773i | ||||
\(290\) | −1.95820e8 | + | 5.74980e7i | −0.471481 | + | 0.138439i | ||||
\(291\) | −1.85160e7 | + | 1.28781e8i | −0.0440474 | + | 0.306357i | ||||
\(292\) | −4.18774e8 | + | 4.83291e8i | −0.984329 | + | 1.13598i | ||||
\(293\) | 1.99746e7 | − | 4.37382e7i | 0.0463917 | − | 0.101584i | −0.885017 | − | 0.465559i | \(-0.845853\pi\) |
0.931409 | + | 0.363975i | \(0.118581\pi\) | |||||||
\(294\) | −1.08960e8 | − | 3.19935e7i | −0.250064 | − | 0.0734254i | ||||
\(295\) | 1.97795e8 | + | 4.33111e8i | 0.448579 | + | 0.982251i | ||||
\(296\) | −1.38660e7 | − | 9.64402e7i | −0.0310764 | − | 0.216141i | ||||
\(297\) | 5.92778e7 | + | 3.80955e7i | 0.131294 | + | 0.0843775i | ||||
\(298\) | −5.19843e6 | −0.0113793 | ||||||||
\(299\) | −6.24672e7 | − | 3.07626e8i | −0.135146 | − | 0.665540i | ||||
\(300\) | −5.12483e8 | −1.09586 | ||||||||
\(301\) | 4.39697e8 | + | 2.82576e8i | 0.929331 | + | 0.597245i | ||||
\(302\) | −2.54646e7 | − | 1.77110e8i | −0.0532000 | − | 0.370014i | ||||
\(303\) | 9.31409e7 | + | 2.03950e8i | 0.192349 | + | 0.421187i | ||||
\(304\) | 6.67767e8 | + | 1.96074e8i | 1.36322 | + | 0.400279i | ||||
\(305\) | −3.21650e8 | + | 7.04314e8i | −0.649133 | + | 1.42140i | ||||
\(306\) | 4.24823e7 | − | 4.90271e7i | 0.0847584 | − | 0.0978164i | ||||
\(307\) | −9.54897e7 | + | 6.64146e8i | −0.188353 | + | 1.31002i | 0.647919 | + | 0.761709i | \(0.275639\pi\) |
−0.836272 | + | 0.548314i | \(0.815270\pi\) | |||||||
\(308\) | −6.56314e8 | + | 1.92711e8i | −1.27992 | + | 0.375820i | ||||
\(309\) | 1.57581e8 | + | 1.81859e8i | 0.303844 | + | 0.350654i | ||||
\(310\) | 1.33526e8 | − | 8.58120e7i | 0.254566 | − | 0.163600i | ||||
\(311\) | −2.07687e8 | + | 1.33472e8i | −0.391515 | + | 0.251611i | −0.721557 | − | 0.692355i | \(-0.756573\pi\) |
0.330042 | + | 0.943966i | \(0.392937\pi\) | |||||||
\(312\) | 6.05088e7 | + | 6.98309e7i | 0.112792 | + | 0.130169i | ||||
\(313\) | 9.82569e8 | − | 2.88508e8i | 1.81116 | − | 0.531806i | 0.812476 | − | 0.582995i | \(-0.198119\pi\) |
0.998689 | + | 0.0511894i | \(0.0163012\pi\) | |||||||
\(314\) | 1.30015e7 | − | 9.04274e7i | 0.0236995 | − | 0.164834i | ||||
\(315\) | 3.63437e8 | − | 4.19429e8i | 0.655153 | − | 0.756086i | ||||
\(316\) | 1.05095e8 | − | 2.30125e8i | 0.187360 | − | 0.410261i | ||||
\(317\) | 8.54794e8 | + | 2.50990e8i | 1.50714 | + | 0.442537i | 0.927966 | − | 0.372666i | \(-0.121556\pi\) |
0.579176 | + | 0.815202i | \(0.303374\pi\) | |||||||
\(318\) | 2.13711e7 | + | 4.67962e7i | 0.0372677 | + | 0.0816049i | ||||
\(319\) | −8.42408e7 | − | 5.85907e8i | −0.145296 | − | 1.01056i | ||||
\(320\) | −6.04703e8 | − | 3.88619e8i | −1.03161 | − | 0.662978i | ||||
\(321\) | −3.91782e8 | −0.661114 | ||||||||
\(322\) | 2.27910e8 | + | 5.28978e7i | 0.380425 | + | 0.0882961i | ||||
\(323\) | 1.74373e9 | 2.87919 | ||||||||
\(324\) | −5.43194e7 | − | 3.49090e7i | −0.0887253 | − | 0.0570203i | ||||
\(325\) | −1.19603e8 | − | 8.31859e8i | −0.193264 | − | 1.34418i | ||||
\(326\) | 1.04660e7 | + | 2.29173e7i | 0.0167308 | + | 0.0366354i | ||||
\(327\) | −1.07903e8 | − | 3.16831e7i | −0.170654 | − | 0.0501084i | ||||
\(328\) | −3.06687e7 | + | 6.71551e7i | −0.0479885 | + | 0.105080i | ||||
\(329\) | 6.98026e8 | − | 8.05566e8i | 1.08065 | − | 1.24714i | ||||
\(330\) | −1.69787e7 | + | 1.18090e8i | −0.0260080 | + | 0.180889i | ||||
\(331\) | 4.20358e8 | − | 1.23428e8i | 0.637121 | − | 0.187075i | 0.0528086 | − | 0.998605i | \(-0.483183\pi\) |
0.584312 | + | 0.811529i | \(0.301364\pi\) | |||||||
\(332\) | 1.78610e8 | + | 2.06127e8i | 0.267870 | + | 0.309138i | ||||
\(333\) | −9.39289e7 | + | 6.03644e7i | −0.139394 | + | 0.0895831i | ||||
\(334\) | −4.60963e6 | + | 2.96243e6i | −0.00676945 | + | 0.00435046i | ||||
\(335\) | −4.62306e7 | − | 5.33530e7i | −0.0671851 | − | 0.0775357i | ||||
\(336\) | 5.67514e8 | − | 1.66637e8i | 0.816186 | − | 0.239654i | ||||
\(337\) | 1.27938e8 | − | 8.89830e8i | 0.182094 | − | 1.26649i | −0.669707 | − | 0.742626i | \(-0.733580\pi\) |
0.851801 | − | 0.523866i | \(-0.175511\pi\) | |||||||
\(338\) | 5.64497e7 | − | 6.51464e7i | 0.0795157 | − | 0.0917660i | ||||
\(339\) | 3.05222e7 | − | 6.68343e7i | 0.0425517 | − | 0.0931753i | ||||
\(340\) | −1.96965e9 | − | 5.78341e8i | −2.71777 | − | 0.798009i | ||||
\(341\) | 1.91240e8 | + | 4.18757e8i | 0.261179 | + | 0.571902i | ||||
\(342\) | 1.32160e7 | + | 9.19192e7i | 0.0178652 | + | 0.124255i | ||||
\(343\) | −1.09282e9 | − | 7.02316e8i | −1.46225 | − | 0.939730i | ||||
\(344\) | 2.11427e8 | 0.280030 | ||||||||
\(345\) | −4.65475e8 | + | 6.04161e8i | −0.610280 | + | 0.792111i | ||||
\(346\) | −1.34165e8 | −0.174129 | ||||||||
\(347\) | −4.27474e8 | − | 2.74721e8i | −0.549233 | − | 0.352971i | 0.236407 | − | 0.971654i | \(-0.424030\pi\) |
−0.785641 | + | 0.618683i | \(0.787666\pi\) | |||||||
\(348\) | 7.71943e7 | + | 5.36898e8i | 0.0981879 | + | 0.682912i | ||||
\(349\) | −3.96189e8 | − | 8.67534e8i | −0.498900 | − | 1.09244i | −0.976825 | − | 0.214039i | \(-0.931338\pi\) |
0.477925 | − | 0.878401i | \(-0.341389\pi\) | |||||||
\(350\) | 6.01028e8 | + | 1.76478e8i | 0.749302 | + | 0.220015i | ||||
\(351\) | 4.39869e7 | − | 9.63179e7i | 0.0542936 | − | 0.118886i | ||||
\(352\) | −2.74157e8 | + | 3.16394e8i | −0.335042 | + | 0.386660i | ||||
\(353\) | 1.01950e8 | − | 7.09077e8i | 0.123360 | − | 0.857989i | −0.830346 | − | 0.557249i | \(-0.811857\pi\) |
0.953706 | − | 0.300741i | \(-0.0972339\pi\) | |||||||
\(354\) | −6.49676e7 | + | 1.90762e7i | −0.0778369 | + | 0.0228550i | ||||
\(355\) | −8.49143e8 | − | 9.79963e8i | −1.00735 | − | 1.16255i | ||||
\(356\) | 7.66986e7 | − | 4.92912e7i | 0.0900974 | − | 0.0579021i | ||||
\(357\) | 1.24669e9 | − | 8.01197e8i | 1.45017 | − | 0.931967i | ||||
\(358\) | −1.49383e8 | − | 1.72397e8i | −0.172072 | − | 0.198581i | ||||
\(359\) | −4.89125e8 | + | 1.43620e8i | −0.557942 | + | 0.163827i | −0.548533 | − | 0.836129i | \(-0.684813\pi\) |
−0.00940957 | + | 0.999956i | \(0.502995\pi\) | |||||||
\(360\) | 3.19495e7 | − | 2.22214e8i | 0.0360915 | − | 0.251022i | ||||
\(361\) | −1.04926e9 | + | 1.21092e9i | −1.17384 | + | 1.35469i | ||||
\(362\) | 1.74513e7 | − | 3.82129e7i | 0.0193351 | − | 0.0423380i | ||||
\(363\) | 1.72829e8 | + | 5.07472e7i | 0.189646 | + | 0.0556851i | ||||
\(364\) | 4.27000e8 | + | 9.35000e8i | 0.464059 | + | 1.01615i | ||||
\(365\) | 3.62609e8 | + | 2.52200e9i | 0.390313 | + | 2.71469i | ||||
\(366\) | −9.26294e7 | − | 5.95293e7i | −0.0987564 | − | 0.0634669i | ||||
\(367\) | 5.99906e8 | 0.633508 | 0.316754 | − | 0.948508i | \(-0.397407\pi\) | ||||
0.316754 | + | 0.948508i | \(0.397407\pi\) | |||||||
\(368\) | −7.65438e8 | + | 2.73469e8i | −0.800650 | + | 0.286049i | ||||
\(369\) | 8.46027e7 | 0.0876581 | ||||||||
\(370\) | −1.59034e8 | − | 1.02205e8i | −0.163224 | − | 0.104897i | ||||
\(371\) | 1.67250e8 | + | 1.16325e9i | 0.170043 | + | 1.18267i | ||||
\(372\) | −1.75243e8 | − | 3.83729e8i | −0.176498 | − | 0.386478i | ||||
\(373\) | 3.67278e8 | + | 1.07843e8i | 0.366450 | + | 0.107599i | 0.459773 | − | 0.888037i | \(-0.347931\pi\) |
−0.0933233 | + | 0.995636i | \(0.529749\pi\) | |||||||
\(374\) | −1.32339e8 | + | 2.89782e8i | −0.130809 | + | 0.286431i | ||||
\(375\) | −6.68464e8 | + | 7.71449e8i | −0.654589 | + | 0.755436i | ||||
\(376\) | 6.13630e7 | − | 4.26789e8i | 0.0595318 | − | 0.414053i | ||||
\(377\) | −8.53473e8 | + | 2.50602e8i | −0.820342 | + | 0.240874i | ||||
\(378\) | 5.16833e7 | + | 5.96458e7i | 0.0492186 | + | 0.0568013i | ||||
\(379\) | 1.19299e9 | − | 7.66685e8i | 1.12564 | − | 0.723402i | 0.160991 | − | 0.986956i | \(-0.448531\pi\) |
0.964645 | + | 0.263554i | \(0.0848946\pi\) | |||||||
\(380\) | 2.47209e9 | − | 1.58872e9i | 2.31112 | − | 1.48526i | ||||
\(381\) | 7.41531e8 | + | 8.55773e8i | 0.686898 | + | 0.792722i | ||||
\(382\) | −2.88047e8 | + | 8.45784e7i | −0.264388 | + | 0.0776314i | ||||
\(383\) | −8.04923e7 | + | 5.59836e8i | −0.0732080 | + | 0.509173i | 0.919917 | + | 0.392113i | \(0.128256\pi\) |
−0.993125 | + | 0.117059i | \(0.962653\pi\) | |||||||
\(384\) | 3.31606e8 | − | 3.82694e8i | 0.298857 | − | 0.344900i | ||||
\(385\) | −1.13216e9 | + | 2.47909e9i | −1.01111 | + | 2.21401i | ||||
\(386\) | 2.71245e8 | + | 7.96448e7i | 0.240053 | + | 0.0704858i | ||||
\(387\) | −1.00650e8 | − | 2.20392e8i | −0.0882723 | − | 0.193289i | ||||
\(388\) | 8.33212e7 | + | 5.79511e8i | 0.0724176 | + | 0.503676i | ||||
\(389\) | −8.98678e8 | − | 5.77545e8i | −0.774071 | − | 0.497465i | 0.0929903 | − | 0.995667i | \(-0.470357\pi\) |
−0.867061 | + | 0.498202i | \(0.833994\pi\) | |||||||
\(390\) | 1.79280e8 | 0.153040 | ||||||||
\(391\) | −1.64709e9 | + | 1.19773e9i | −1.39347 | + | 1.01331i | ||||
\(392\) | −1.04937e9 | −0.879891 | ||||||||
\(393\) | −1.98067e8 | − | 1.27290e8i | −0.164603 | − | 0.105784i | ||||
\(394\) | 4.67963e7 | + | 3.25476e8i | 0.0385456 | + | 0.268091i | ||||
\(395\) | −4.18734e8 | − | 9.16899e8i | −0.341860 | − | 0.748569i | ||||
\(396\) | 3.04240e8 | + | 8.93329e7i | 0.246197 | + | 0.0722900i | ||||
\(397\) | 2.19347e8 | − | 4.80302e8i | 0.175940 | − | 0.385255i | −0.801032 | − | 0.598621i | \(-0.795716\pi\) |
0.976972 | + | 0.213366i | \(0.0684428\pi\) | |||||||
\(398\) | 3.11476e8 | − | 3.59462e8i | 0.247647 | − | 0.285800i | ||||
\(399\) | −3.01906e8 | + | 2.09980e9i | −0.237939 | + | 1.65491i | ||||
\(400\) | −2.08801e9 | + | 6.13096e8i | −1.63126 | + | 0.478981i | ||||
\(401\) | −8.99665e8 | − | 1.03827e9i | −0.696748 | − | 0.804090i | 0.291562 | − | 0.956552i | \(-0.405825\pi\) |
−0.988309 | + | 0.152463i | \(0.951280\pi\) | |||||||
\(402\) | 8.44557e6 | − | 5.42764e6i | 0.00648392 | − | 0.00416696i | ||||
\(403\) | 5.81968e8 | − | 3.74008e8i | 0.442926 | − | 0.284651i | ||||
\(404\) | 6.60718e8 | + | 7.62509e8i | 0.498519 | + | 0.575321i | ||||
\(405\) | −2.46846e8 | + | 7.24806e7i | −0.184644 | + | 0.0542162i | ||||
\(406\) | 9.43537e7 | − | 6.56244e8i | 0.0699709 | − | 0.486659i | ||||
\(407\) | 3.59060e8 | − | 4.14378e8i | 0.263990 | − | 0.304660i | ||||
\(408\) | 2.49027e8 | − | 5.45293e8i | 0.181525 | − | 0.397483i | ||||
\(409\) | −3.91736e8 | − | 1.15024e8i | −0.283114 | − | 0.0831298i | 0.137092 | − | 0.990558i | \(-0.456224\pi\) |
−0.420207 | + | 0.907428i | \(0.638042\pi\) | |||||||
\(410\) | 5.95054e7 | + | 1.30299e8i | 0.0426396 | + | 0.0933676i | ||||
\(411\) | 3.98737e7 | + | 2.77328e8i | 0.0283296 | + | 0.197036i | ||||
\(412\) | 9.10945e8 | + | 5.85429e8i | 0.641729 | + | 0.412414i | ||||
\(413\) | −1.54677e9 | −1.08044 | ||||||||
\(414\) | −7.56211e7 | − | 7.77472e7i | −0.0523772 | − | 0.0538497i | ||||
\(415\) | 1.08671e9 | 0.746357 | ||||||||
\(416\) | 5.29240e8 | + | 3.40122e8i | 0.360434 | + | 0.231637i | ||||
\(417\) | −1.06318e8 | − | 7.39458e8i | −0.0718010 | − | 0.499387i | ||||
\(418\) | −1.89443e8 | − | 4.14822e8i | −0.126871 | − | 0.277808i | ||||
\(419\) | 1.98543e9 | + | 5.82975e8i | 1.31858 | + | 0.387169i | 0.863979 | − | 0.503528i | \(-0.167965\pi\) |
0.454598 | + | 0.890697i | \(0.349783\pi\) | |||||||
\(420\) | 1.03746e9 | − | 2.27172e9i | 0.683281 | − | 1.49618i | ||||
\(421\) | 5.27263e8 | − | 6.08494e8i | 0.344382 | − | 0.397437i | −0.556965 | − | 0.830536i | \(-0.688034\pi\) |
0.901347 | + | 0.433098i | \(0.142580\pi\) | |||||||
\(422\) | −4.70825e7 | + | 3.27466e8i | −0.0304976 | + | 0.212115i | ||||
\(423\) | −4.74099e8 | + | 1.39208e8i | −0.304564 | + | 0.0894279i | ||||
\(424\) | 3.11314e8 | + | 3.59276e8i | 0.198344 | + | 0.228901i | ||||
\(425\) | −4.58684e9 | + | 2.94778e9i | −2.89836 | + | 1.86266i | ||||
\(426\) | 1.55124e8 | − | 9.96924e7i | 0.0972179 | − | 0.0624782i | ||||
\(427\) | −1.64719e9 | − | 1.90095e9i | −1.02387 | − | 1.18161i | ||||
\(428\) | −1.69159e9 | + | 4.96696e8i | −1.04290 | + | 0.306223i | ||||
\(429\) | −7.40010e7 | + | 5.14688e8i | −0.0452519 | + | 0.314734i | ||||
\(430\) | 2.68639e8 | − | 3.10026e8i | 0.162941 | − | 0.188044i | ||||
\(431\) | 8.81055e8 | − | 1.92924e9i | 0.530069 | − | 1.16069i | −0.435416 | − | 0.900229i | \(-0.643399\pi\) |
0.965485 | − | 0.260460i | \(-0.0838741\pi\) | |||||||
\(432\) | −2.63076e8 | − | 7.72461e7i | −0.156996 | − | 0.0460982i | ||||
\(433\) | −8.02187e8 | − | 1.75654e9i | −0.474862 | − | 1.03980i | −0.983844 | − | 0.179026i | \(-0.942705\pi\) |
0.508982 | − | 0.860777i | \(-0.330022\pi\) | |||||||
\(434\) | 7.33808e7 | + | 5.10375e8i | 0.0430892 | + | 0.299692i | ||||
\(435\) | 1.81810e9 | + | 1.16842e9i | 1.05903 | + | 0.680594i | ||||
\(436\) | −5.06058e8 | −0.292413 | ||||||||
\(437\) | 2.48260e8 | − | 2.90470e9i | 0.142306 | − | 1.66501i | ||||
\(438\) | −3.62334e8 | −0.206039 | ||||||||
\(439\) | 2.48708e9 | + | 1.59835e9i | 1.40302 | + | 0.901666i | 0.999909 | − | 0.0134855i | \(-0.00429271\pi\) |
0.403110 | + | 0.915151i | \(0.367929\pi\) | |||||||
\(440\) | 1.56895e8 | + | 1.09123e9i | 0.0878064 | + | 0.610707i | ||||
\(441\) | 4.99555e8 | + | 1.09387e9i | 0.277363 | + | 0.607340i | ||||
\(442\) | 4.59328e8 | + | 1.34871e8i | 0.253014 | + | 0.0742917i | ||||
\(443\) | −3.40868e8 | + | 7.46396e8i | −0.186283 | + | 0.407903i | −0.979614 | − | 0.200887i | \(-0.935617\pi\) |
0.793331 | + | 0.608790i | \(0.208345\pi\) | |||||||
\(444\) | −3.29026e8 | + | 3.79716e8i | −0.178398 | + | 0.205882i | ||||
\(445\) | 5.16972e7 | − | 3.59562e8i | 0.0278104 | − | 0.193426i | ||||
\(446\) | −5.87852e8 | + | 1.72609e8i | −0.313759 | + | 0.0921279i | ||||
\(447\) | 3.60494e7 | + | 4.16032e7i | 0.0190907 | + | 0.0220318i | ||||
\(448\) | 1.96442e9 | − | 1.26246e9i | 1.03220 | − | 0.663352i | ||||
\(449\) | −2.65390e8 | + | 1.70556e8i | −0.138364 | + | 0.0889209i | −0.607991 | − | 0.793944i | \(-0.708025\pi\) |
0.469628 | + | 0.882865i | \(0.344388\pi\) | |||||||
\(450\) | −1.90155e8 | − | 2.19450e8i | −0.0983700 | − | 0.113525i | ||||
\(451\) | −3.98632e8 | + | 1.17049e8i | −0.204623 | + | 0.0600828i | ||||
\(452\) | 4.70537e7 | − | 3.27265e8i | 0.0239667 | − | 0.166692i | ||||
\(453\) | −1.24083e9 | + | 1.43199e9i | −0.627145 | + | 0.723763i | ||||
\(454\) | 5.34632e7 | − | 1.17068e8i | 0.0268139 | − | 0.0587142i | ||||
\(455\) | 3.92957e9 | + | 1.15382e9i | 1.95571 | + | 0.574249i | ||||
\(456\) | 3.56481e8 | + | 7.80586e8i | 0.176060 | + | 0.385517i | ||||
\(457\) | 1.80291e8 | + | 1.25395e9i | 0.0883626 | + | 0.614575i | 0.985096 | + | 0.172004i | \(0.0550244\pi\) |
−0.896734 | + | 0.442571i | \(0.854067\pi\) | |||||||
\(458\) | 2.10406e8 | + | 1.35220e8i | 0.102336 | + | 0.0657675i | ||||
\(459\) | −6.86966e8 | −0.331582 | ||||||||
\(460\) | −1.24383e9 | + | 3.19870e9i | −0.595809 | + | 1.53222i | ||||
\(461\) | −1.93029e9 | −0.917632 | −0.458816 | − | 0.888531i | \(-0.651726\pi\) | ||||
−0.458816 | + | 0.888531i | \(0.651726\pi\) | |||||||
\(462\) | −3.26043e8 | − | 2.09535e8i | −0.153825 | − | 0.0988576i | ||||
\(463\) | −3.94062e8 | − | 2.74076e9i | −0.184515 | − | 1.28333i | −0.845924 | − | 0.533304i | \(-0.820950\pi\) |
0.661409 | − | 0.750026i | \(-0.269959\pi\) | |||||||
\(464\) | 9.56817e8 | + | 2.09514e9i | 0.444647 | + | 0.973642i | ||||
\(465\) | −1.61271e9 | − | 4.73536e8i | −0.743827 | − | 0.218407i | ||||
\(466\) | −2.55783e8 | + | 5.60086e8i | −0.117090 | + | 0.256392i | ||||
\(467\) | 1.35231e9 | − | 1.56065e9i | 0.614424 | − | 0.709083i | −0.360214 | − | 0.932870i | \(-0.617296\pi\) |
0.974638 | + | 0.223786i | \(0.0718418\pi\) | |||||||
\(468\) | 6.78111e7 | − | 4.71636e8i | 0.0305802 | − | 0.212690i | ||||
\(469\) | 2.20047e8 | − | 6.46117e7i | 0.0984942 | − | 0.0289205i | ||||
\(470\) | −5.47856e8 | − | 6.32259e8i | −0.243402 | − | 0.280901i | ||||
\(471\) | −8.13854e8 | + | 5.23032e8i | −0.358900 | + | 0.230651i | ||||
\(472\) | −5.26365e8 | + | 3.38274e8i | −0.230404 | + | 0.148072i | ||||
\(473\) | 7.79159e8 | + | 8.99197e8i | 0.338542 | + | 0.390698i | ||||
\(474\) | 1.37537e8 | − | 4.03844e7i | 0.0593191 | − | 0.0174177i | ||||
\(475\) | 1.11078e9 | − | 7.72564e9i | 0.475554 | − | 3.30755i | ||||
\(476\) | 4.36706e9 | − | 5.03985e9i | 1.85594 | − | 2.14187i | ||||
\(477\) | 2.26310e8 | − | 4.95550e8i | 0.0954749 | − | 0.209061i | ||||
\(478\) | 4.36180e8 | + | 1.28074e8i | 0.182670 | + | 0.0536369i | ||||
\(479\) | −1.05606e9 | − | 2.31245e9i | −0.439050 | − | 0.961385i | −0.991772 | − | 0.128019i | \(-0.959138\pi\) |
0.552722 | − | 0.833366i | \(-0.313589\pi\) | |||||||
\(480\) | −2.17530e8 | − | 1.51296e9i | −0.0897792 | − | 0.624428i | ||||
\(481\) | −6.93141e8 | − | 4.45455e8i | −0.283997 | − | 0.182514i | ||||
\(482\) | −2.65534e8 | −0.108008 | ||||||||
\(483\) | −1.15714e9 | − | 2.19080e9i | −0.467273 | − | 0.884684i | ||||
\(484\) | 8.10558e8 | 0.324957 | ||||||||
\(485\) | 1.96241e9 | + | 1.26116e9i | 0.781075 | + | 0.501967i | ||||
\(486\) | −5.20663e6 | − | 3.62129e7i | −0.00205745 | − | 0.0143099i | ||||
\(487\) | 2.42314e8 | + | 5.30594e8i | 0.0950665 | + | 0.208167i | 0.951191 | − | 0.308603i | \(-0.0998616\pi\) |
−0.856124 | + | 0.516770i | \(0.827134\pi\) | |||||||
\(488\) | −9.76268e8 | − | 2.86658e8i | −0.380277 | − | 0.111659i | ||||
\(489\) | 1.10830e8 | − | 2.42683e8i | 0.0428623 | − | 0.0938552i | ||||
\(490\) | −1.33334e9 | + | 1.53875e9i | −0.511981 | + | 0.590858i | ||||
\(491\) | −2.68526e8 | + | 1.86764e9i | −0.102377 | + | 0.712046i | 0.872388 | + | 0.488813i | \(0.162570\pi\) |
−0.974765 | + | 0.223233i | \(0.928339\pi\) | |||||||
\(492\) | 3.65288e8 | − | 1.07258e8i | 0.138279 | − | 0.0406025i | ||||
\(493\) | 3.77912e9 | + | 4.36134e9i | 1.42045 | + | 1.63929i | ||||
\(494\) | −5.76499e8 | + | 3.70494e8i | −0.215157 | + | 0.138273i | ||||
\(495\) | 1.06282e9 | − | 6.83031e8i | 0.393858 | − | 0.253117i | ||||
\(496\) | −1.17306e9 | − | 1.35378e9i | −0.431652 | − | 0.498153i | ||||
\(497\) | 4.04172e9 | − | 1.18676e9i | 1.47679 | − | 0.433625i | ||||
\(498\) | −2.19931e7 | + | 1.52965e8i | −0.00797964 | + | 0.0554996i | ||||
\(499\) | 1.54275e8 | − | 1.78043e8i | 0.0555833 | − | 0.0641465i | −0.727277 | − | 0.686344i | \(-0.759214\pi\) |
0.782860 | + | 0.622197i | \(0.213760\pi\) | |||||||
\(500\) | −1.90819e9 | + | 4.17834e9i | −0.682693 | + | 1.49489i | ||||
\(501\) | 5.56746e7 | + | 1.63476e7i | 0.0197800 | + | 0.00580792i | ||||
\(502\) | −9.58057e7 | − | 2.09785e8i | −0.0338009 | − | 0.0740137i | ||||
\(503\) | −6.50797e8 | − | 4.52639e9i | −0.228012 | − | 1.58586i | −0.706467 | − | 0.707746i | \(-0.749712\pi\) |
0.478455 | − | 0.878112i | \(-0.341197\pi\) | |||||||
\(504\) | 6.13527e8 | + | 3.94290e8i | 0.213465 | + | 0.137186i | ||||
\(505\) | 4.01998e9 | 1.38901 | ||||||||
\(506\) | 4.63877e8 | + | 2.61707e8i | 0.159175 | + | 0.0898026i | ||||
\(507\) | −9.12828e8 | −0.311072 | ||||||||
\(508\) | 4.28664e9 | + | 2.75485e9i | 1.45075 | + | 0.932343i | ||||
\(509\) | 1.40856e8 | + | 9.79672e8i | 0.0473436 | + | 0.329282i | 0.999704 | + | 0.0243088i | \(0.00773850\pi\) |
−0.952361 | + | 0.304973i | \(0.901352\pi\) | |||||||
\(510\) | −4.83178e8 | − | 1.05801e9i | −0.161291 | − | 0.353179i | ||||
\(511\) | −7.94187e9 | − | 2.33194e9i | −2.63299 | − | 0.773117i | ||||
\(512\) | 1.14791e9 | − | 2.51357e9i | 0.377974 | − | 0.827648i | ||||
\(513\) | 6.43984e8 | − | 7.43197e8i | 0.210603 | − | 0.243049i | ||||
\(514\) | 9.85651e7 | − | 6.85535e8i | 0.0320149 | − | 0.222669i | ||||
\(515\) | 4.13965e9 | − | 1.21551e9i | 1.33548 | − | 0.392133i | ||||
\(516\) | −7.13985e8 | − | 8.23982e8i | −0.228778 | − | 0.264024i | ||||
\(517\) | 2.04127e9 | − | 1.31185e9i | 0.649657 | − | 0.417509i | ||||
\(518\) | 5.16633e8 | − | 3.32020e8i | 0.163316 | − | 0.104957i | ||||
\(519\) | 9.30386e8 | + | 1.07372e9i | 0.292131 | + | 0.337137i | ||||
\(520\) | 1.58956e9 | − | 4.66738e8i | 0.495754 | − | 0.145566i | ||||
\(521\) | −4.93612e8 | + | 3.43315e9i | −0.152916 | + | 1.06356i | 0.758382 | + | 0.651810i | \(0.225990\pi\) |
−0.911298 | + | 0.411747i | \(0.864919\pi\) | |||||||
\(522\) | −2.01262e8 | + | 2.32269e8i | −0.0619320 | + | 0.0714734i | ||||
\(523\) | −1.23754e9 | + | 2.70984e9i | −0.378272 | + | 0.828299i | 0.620747 | + | 0.784011i | \(0.286829\pi\) |
−0.999019 | + | 0.0442884i | \(0.985898\pi\) | |||||||
\(524\) | −1.01657e9 | − | 2.98491e8i | −0.308657 | − | 0.0906298i | ||||
\(525\) | −2.75557e9 | − | 6.03386e9i | −0.831102 | − | 1.81986i | ||||
\(526\) | −5.55203e7 | − | 3.86152e8i | −0.0166342 | − | 0.115693i | ||||
\(527\) | −3.77566e9 | − | 2.42647e9i | −1.12371 | − | 0.722167i | ||||
\(528\) | 1.34644e9 | 0.398077 | ||||||||
\(529\) | 1.76068e9 | + | 2.91425e9i | 0.517114 | + | 0.855916i | ||||
\(530\) | 9.22383e8 | 0.269120 | ||||||||
\(531\) | 6.03196e8 | + | 3.87651e8i | 0.174835 | + | 0.112359i | ||||
\(532\) | 1.35857e9 | + | 9.44904e9i | 0.391192 | + | 2.72080i | ||||
\(533\) | 2.59352e8 | + | 5.67901e8i | 0.0741897 | + | 0.162453i | ||||
\(534\) | 4.95656e7 | + | 1.45538e7i | 0.0140859 | + | 0.00413601i | ||||
\(535\) | −2.91805e9 | + | 6.38963e9i | −0.823862 | + | 1.80401i | ||||
\(536\) | 6.07514e7 | − | 7.01108e7i | 0.0170404 | − | 0.0196656i | ||||
\(537\) | −3.43778e8 | + | 2.39103e9i | −0.0958004 | + | 0.666307i | ||||
\(538\) | −9.54296e8 | + | 2.80207e8i | −0.264208 | + | 0.0775784i | ||||
\(539\) | −3.86720e9 | − | 4.46299e9i | −1.06374 | − | 1.22762i | ||||
\(540\) | −9.73915e8 | + | 6.25897e8i | −0.266160 | + | 0.171051i | ||||
\(541\) | −3.49209e9 | + | 2.24423e9i | −0.948190 | + | 0.609365i | −0.920706 | − | 0.390258i | \(-0.872386\pi\) |
−0.0274842 | + | 0.999622i | \(0.508750\pi\) | |||||||
\(542\) | 8.27095e8 | + | 9.54518e8i | 0.223130 | + | 0.257506i | ||||
\(543\) | −4.26838e8 | + | 1.25331e8i | −0.114410 | + | 0.0335938i | ||||
\(544\) | 5.80858e8 | − | 4.03996e9i | 0.154694 | − | 1.07592i | ||||
\(545\) | −1.32040e9 | + | 1.52382e9i | −0.349396 | + | 0.403225i | ||||
\(546\) | −2.41939e8 | + | 5.29773e8i | −0.0636110 | + | 0.139289i | ||||
\(547\) | 1.98706e9 | + | 5.83454e8i | 0.519106 | + | 0.152423i | 0.530782 | − | 0.847509i | \(-0.321898\pi\) |
−0.0116758 | + | 0.999932i | \(0.503717\pi\) | |||||||
\(548\) | 5.23754e8 | + | 1.14686e9i | 0.135955 | + | 0.297700i | ||||
\(549\) | 1.65939e8 | + | 1.15413e9i | 0.0428002 | + | 0.297682i | ||||
\(550\) | 1.19958e9 | + | 7.70926e8i | 0.307441 | + | 0.197580i | ||||
\(551\) | −8.26101e9 | −2.10379 | ||||||||
\(552\) | −8.72894e8 | − | 4.92464e8i | −0.220889 | − | 0.124620i | ||||
\(553\) | 3.27453e9 | 0.823400 | ||||||||
\(554\) | −8.99248e8 | − | 5.77912e8i | −0.224696 | − | 0.144403i | ||||
\(555\) | 2.84897e8 | + | 1.98151e9i | 0.0707397 | + | 0.492005i | ||||
\(556\) | −1.39652e9 | − | 3.05796e9i | −0.344577 | − | 0.754518i | ||||
\(557\) | −6.69535e9 | − | 1.96593e9i | −1.64165 | − | 0.482031i | −0.674931 | − | 0.737880i | \(-0.735827\pi\) |
−0.966717 | + | 0.255849i | \(0.917645\pi\) | |||||||
\(558\) | 9.92931e7 | − | 2.17422e8i | 0.0241935 | − | 0.0529765i | ||||
\(559\) | 1.17085e9 | − | 1.35123e9i | 0.283505 | − | 0.327182i | ||||
\(560\) | 1.50922e9 | − | 1.04968e10i | 0.363156 | − | 2.52581i | ||||
\(561\) | 3.23686e9 | − | 9.50426e8i | 0.774022 | − | 0.227273i | ||||
\(562\) | −7.84444e7 | − | 9.05297e7i | −0.0186417 | − | 0.0215136i | ||||
\(563\) | −1.95893e9 | + | 1.25893e9i | −0.462636 | + | 0.297318i | −0.751119 | − | 0.660167i | \(-0.770486\pi\) |
0.288483 | + | 0.957485i | \(0.406849\pi\) | |||||||
\(564\) | −1.87053e9 | + | 1.20211e9i | −0.439022 | + | 0.282143i | ||||
\(565\) | −8.62679e8 | − | 9.95584e8i | −0.201224 | − | 0.232225i | ||||
\(566\) | 5.58887e8 | − | 1.64104e8i | 0.129559 | − | 0.0380419i | ||||
\(567\) | 1.18940e8 | − | 8.27246e8i | 0.0274023 | − | 0.190587i | ||||
\(568\) | 1.11585e9 | − | 1.28776e9i | 0.255498 | − | 0.294861i | ||||
\(569\) | −8.54392e8 | + | 1.87086e9i | −0.194430 | + | 0.425743i | −0.981588 | − | 0.191008i | \(-0.938824\pi\) |
0.787158 | + | 0.616751i | \(0.211552\pi\) | |||||||
\(570\) | 1.59756e9 | + | 4.69086e8i | 0.361323 | + | 0.106094i | ||||
\(571\) | 7.86196e8 | + | 1.72153e9i | 0.176728 | + | 0.386980i | 0.977179 | − | 0.212418i | \(-0.0681340\pi\) |
−0.800451 | + | 0.599398i | \(0.795407\pi\) | |||||||
\(572\) | 3.33002e8 | + | 2.31608e9i | 0.0743979 | + | 0.517449i | ||||
\(573\) | 2.67439e9 | + | 1.71873e9i | 0.593860 | + | 0.381651i | ||||
\(574\) | −4.65337e8 | −0.102701 | ||||||||
\(575\) | 4.25738e9 | + | 8.06045e9i | 0.933909 | + | 1.76816i | ||||
\(576\) | −1.08246e9 | −0.236012 | ||||||||
\(577\) | −8.19890e8 | − | 5.26911e8i | −0.177681 | − | 0.114188i | 0.448777 | − | 0.893644i | \(-0.351860\pi\) |
−0.626458 | + | 0.779455i | \(0.715496\pi\) | |||||||
\(578\) | −2.93108e8 | − | 2.03861e9i | −0.0631364 | − | 0.439124i | ||||
\(579\) | −1.24359e9 | − | 2.72309e9i | −0.266259 | − | 0.583025i | ||||
\(580\) | 9.33132e9 | + | 2.73992e9i | 1.98584 | + | 0.583096i | ||||
\(581\) | −1.46653e9 | + | 3.21125e9i | −0.310223 | + | 0.679293i | ||||
\(582\) | −2.17236e8 | + | 2.50704e8i | −0.0456774 | + | 0.0527146i | ||||
\(583\) | −3.80731e8 | + | 2.64804e9i | −0.0795753 | + | 0.553458i | ||||
\(584\) | −3.21260e9 | + | 9.43304e8i | −0.667439 | + | 0.195978i | ||||
\(585\) | −1.24324e9 | − | 1.43478e9i | −0.256750 | − | 0.296305i | ||||
\(586\) | 1.03136e8 | − | 6.62813e7i | 0.0211723 | − | 0.0136066i | ||||
\(587\) | −5.59821e9 | + | 3.59775e9i | −1.14239 | + | 0.734172i | −0.968110 | − | 0.250524i | \(-0.919397\pi\) |
−0.174283 | + | 0.984696i | \(0.555761\pi\) | |||||||
\(588\) | 3.54372e9 | + | 4.08967e9i | 0.718851 | + | 0.829598i | ||||
\(589\) | 6.16451e9 | − | 1.81006e9i | 1.24307 | − | 0.364998i | ||||
\(590\) | −1.72771e8 | + | 1.20165e9i | −0.0346329 | + | 0.240877i | ||||
\(591\) | 2.28027e9 | − | 2.63158e9i | 0.454392 | − | 0.524397i | ||||
\(592\) | −8.86289e8 | + | 1.94070e9i | −0.175570 | + | 0.384444i | ||||
\(593\) | 5.82799e9 | + | 1.71125e9i | 1.14770 | + | 0.336995i | 0.799641 | − | 0.600479i | \(-0.205023\pi\) |
0.348057 | + | 0.937473i | \(0.386841\pi\) | |||||||
\(594\) | 7.46337e7 | + | 1.63425e8i | 0.0146111 | + | 0.0319938i | ||||
\(595\) | −3.78135e9 | − | 2.62999e10i | −0.735932 | − | 5.11852i | ||||
\(596\) | 2.08394e8 | + | 1.33927e8i | 0.0403202 | + | 0.0259122i | ||||
\(597\) | −5.03677e9 | −0.968817 | ||||||||
\(598\) | 2.90064e8 | − | 7.45947e8i | 0.0554676 | − | 0.142644i | ||||
\(599\) | −5.72266e9 | −1.08794 | −0.543969 | − | 0.839105i | \(-0.683079\pi\) | ||||
−0.543969 | + | 0.839105i | \(0.683079\pi\) | |||||||
\(600\) | −2.25730e9 | − | 1.45068e9i | −0.426639 | − | 0.274184i | ||||
\(601\) | 8.42773e8 | + | 5.86162e9i | 0.158362 | + | 1.10143i | 0.901653 | + | 0.432461i | \(0.142355\pi\) |
−0.743291 | + | 0.668968i | \(0.766736\pi\) | |||||||
\(602\) | 5.53600e8 | + | 1.21221e9i | 0.103421 | + | 0.226460i | ||||
\(603\) | −1.02005e8 | − | 2.99513e7i | −0.0189457 | − | 0.00556295i | ||||
\(604\) | −3.54204e9 | + | 7.75599e9i | −0.654070 | + | 1.43221i | ||||
\(605\) | 2.11490e9 | − | 2.44073e9i | 0.388281 | − | 0.448100i | ||||
\(606\) | −8.13571e7 | + | 5.65851e8i | −0.0148505 | + | 0.103288i | ||||
\(607\) | 1.14132e9 | − | 3.35123e8i | 0.207133 | − | 0.0608196i | −0.176520 | − | 0.984297i | \(-0.556484\pi\) |
0.383653 | + | 0.923477i | \(0.374666\pi\) | |||||||
\(608\) | 3.82613e9 | + | 4.41559e9i | 0.690395 | + | 0.796758i | ||||
\(609\) | −5.90625e9 | + | 3.79572e9i | −1.05962 | + | 0.680978i | ||||
\(610\) | −1.66079e9 | + | 1.06733e9i | −0.296252 | + | 0.190389i | ||||
\(611\) | −2.38780e9 | − | 2.75567e9i | −0.423501 | − | 0.488746i | ||||
\(612\) | −2.96610e9 | + | 8.70926e8i | −0.523066 | + | 0.153586i | ||||
\(613\) | −8.53260e8 | + | 5.93455e9i | −0.149613 | + | 1.04058i | 0.767241 | + | 0.641359i | \(0.221629\pi\) |
−0.916854 | + | 0.399223i | \(0.869280\pi\) | |||||||
\(614\) | −1.12032e9 | + | 1.29292e9i | −0.195323 | + | 0.225415i | ||||
\(615\) | 6.30134e8 | − | 1.37980e9i | 0.109237 | − | 0.239196i | ||||
\(616\) | −3.43633e9 | − | 1.00900e9i | −0.592328 | − | 0.173923i | ||||
\(617\) | −3.17546e9 | − | 6.95329e9i | −0.544263 | − | 1.19177i | −0.959410 | − | 0.282015i | \(-0.908997\pi\) |
0.415147 | − | 0.909754i | \(-0.363730\pi\) | |||||||
\(618\) | 8.73159e7 | + | 6.07296e8i | 0.0148811 | + | 0.103500i | ||||
\(619\) | −2.85949e7 | − | 1.83769e7i | −0.00484587 | − | 0.00311425i | 0.538216 | − | 0.842807i | \(-0.319099\pi\) |
−0.543062 | + | 0.839693i | \(0.682735\pi\) | |||||||
\(620\) | −7.56354e9 | −1.27454 | ||||||||
\(621\) | −9.78056e7 | + | 1.14435e9i | −0.0163886 | + | 0.191751i | ||||
\(622\) | −6.29463e8 | −0.104883 | ||||||||
\(623\) | 9.92744e8 | + | 6.37998e8i | 0.164486 | + | 0.105709i | ||||
\(624\) | −2.87947e8 | − | 2.00271e9i | −0.0474423 | − | 0.329969i | ||||
\(625\) | 2.53279e9 | + | 5.54603e9i | 0.414972 | + | 0.908662i | ||||
\(626\) | 2.50525e9 | + | 7.35607e8i | 0.408169 | + | 0.119849i | ||||
\(627\) | −2.00611e9 | + | 4.39277e9i | −0.325026 | + | 0.711708i | ||||
\(628\) | −2.85087e9 | + | 3.29008e9i | −0.459324 | + | 0.530088i | ||||
\(629\) | −7.60744e8 | + | 5.29109e9i | −0.121888 | + | 0.847751i | ||||
\(630\) | 1.35772e9 | − | 3.98662e8i | 0.216330 | − | 0.0635204i | ||||
\(631\) | 1.97630e8 | + | 2.28077e8i | 0.0313148 | + | 0.0361392i | 0.771191 | − | 0.636604i | \(-0.219661\pi\) |
−0.739876 | + | 0.672743i | \(0.765116\pi\) | |||||||
\(632\) | 1.11432e9 | − | 7.16129e8i | 0.175590 | − | 0.112845i | ||||
\(633\) | 2.94722e9 | − | 1.89406e9i | 0.461848 | − | 0.296812i | ||||
\(634\) | 1.48750e9 | + | 1.71666e9i | 0.231816 | + | 0.267530i | ||||
\(635\) | 1.94800e10 | − | 5.71984e9i | 3.01912 | − | 0.886494i | ||||
\(636\) | 3.48884e8 | − | 2.42654e9i | 0.0537751 | − | 0.374014i | ||||
\(637\) | −5.81129e9 | + | 6.70659e9i | −0.890809 | + | 1.02805i | ||||
\(638\) | 6.26963e8 | − | 1.37286e9i | 0.0955805 | − | 0.209292i | ||||
\(639\) | −1.87358e9 | − | 5.50131e8i | −0.284065 | − | 0.0834091i | ||||
\(640\) | −3.77157e9 | − | 8.25859e9i | −0.568712 | − | 1.24531i | ||||
\(641\) | −2.48136e8 | − | 1.72582e9i | −0.0372123 | − | 0.258817i | 0.962719 | − | 0.270502i | \(-0.0871896\pi\) |
−0.999932 | + | 0.0116847i | \(0.996281\pi\) | |||||||
\(642\) | −8.40347e8 | − | 5.40058e8i | −0.125339 | − | 0.0805504i | ||||
\(643\) | 3.76972e9 | 0.559205 | 0.279603 | − | 0.960116i | \(-0.409797\pi\) | ||||
0.279603 | + | 0.960116i | \(0.409797\pi\) | |||||||
\(644\) | −7.77364e9 | − | 7.99219e9i | −1.14690 | − | 1.17914i | ||||
\(645\) | −4.34407e9 | −0.637438 | ||||||||
\(646\) | 3.74018e9 | + | 2.40367e9i | 0.545857 | + | 0.350801i | ||||
\(647\) | 1.22235e9 | + | 8.50160e9i | 0.177431 | + | 1.23406i | 0.862680 | + | 0.505750i | \(0.168784\pi\) |
−0.685250 | + | 0.728308i | \(0.740307\pi\) | |||||||
\(648\) | −1.40441e8 | − | 3.07523e8i | −0.0202759 | − | 0.0443981i | ||||
\(649\) | −3.37847e9 | − | 9.92007e8i | −0.485136 | − | 0.142449i | ||||
\(650\) | 8.90148e8 | − | 1.94915e9i | 0.127135 | − | 0.278387i | ||||
\(651\) | 3.57567e9 | − | 4.12655e9i | 0.507954 | − | 0.586210i | ||||
\(652\) | 1.70857e8 | − | 1.18834e9i | 0.0241416 | − | 0.167909i | ||||
\(653\) | −5.61050e9 | + | 1.64739e9i | −0.788507 | + | 0.231527i | −0.651104 | − | 0.758989i | \(-0.725694\pi\) |
−0.137403 | + | 0.990515i | \(0.543876\pi\) | |||||||
\(654\) | −1.87770e8 | − | 2.16699e8i | −0.0262485 | − | 0.0302924i | ||||
\(655\) | −3.55122e9 | + | 2.28223e9i | −0.493779 | + | 0.317333i | ||||
\(656\) | 1.35998e9 | − | 8.74005e8i | 0.188091 | − | 0.120879i | ||||
\(657\) | 2.51267e9 | + | 2.89977e9i | 0.345665 | + | 0.398919i | ||||
\(658\) | 2.60767e9 | − | 7.65680e8i | 0.356830 | − | 0.104775i | ||||
\(659\) | −3.97480e7 | + | 2.76453e8i | −0.00541023 | + | 0.0376290i | −0.992348 | − | 0.123475i | \(-0.960596\pi\) |
0.986937 | + | 0.161104i | \(0.0515053\pi\) | |||||||
\(660\) | 3.72297e9 | − | 4.29654e9i | 0.504064 | − | 0.581721i | ||||
\(661\) | 2.11929e9 | − | 4.64059e9i | 0.285420 | − | 0.624983i | −0.711561 | − | 0.702624i | \(-0.752012\pi\) |
0.996981 | + | 0.0776414i | \(0.0247389\pi\) | |||||||
\(662\) | 1.07178e9 | + | 3.14704e8i | 0.143583 | + | 0.0421599i | ||||
\(663\) | −2.10591e9 | − | 4.61130e9i | −0.280635 | − | 0.614505i | ||||
\(664\) | 2.03232e8 | + | 1.41351e9i | 0.0269403 | + | 0.187374i | ||||
\(665\) | 3.19974e10 | + | 2.05635e10i | 4.21928 | + | 2.71157i | ||||
\(666\) | −2.84682e8 | −0.0373422 | ||||||||
\(667\) | 7.80317e9 | − | 5.67433e9i | 1.01819 | − | 0.740413i | ||||
\(668\) | 2.61111e8 | 0.0338928 | ||||||||
\(669\) | 5.45795e9 | + | 3.50761e9i | 0.704755 | + | 0.452918i | ||||
\(670\) | −2.56164e7 | − | 1.78166e8i | −0.00329046 | − | 0.0228856i | ||||
\(671\) | −2.37863e9 | − | 5.20847e9i | −0.303947 | − | 0.665552i | ||||
\(672\) | 4.76436e9 | + | 1.39894e9i | 0.605637 | + | 0.177831i | ||||
\(673\) | 3.63040e9 | − | 7.94947e9i | 0.459094 | − | 1.00528i | −0.528599 | − | 0.848872i | \(-0.677282\pi\) |
0.987693 | − | 0.156404i | \(-0.0499903\pi\) | |||||||
\(674\) | 1.50102e9 | − | 1.73227e9i | 0.188833 | − | 0.217924i | ||||
\(675\) | −4.37607e8 | + | 3.04362e9i | −0.0547673 | + | 0.380915i | ||||
\(676\) | −3.94130e9 | + | 1.15727e9i | −0.490712 | + | 0.144086i | ||||
\(677\) | −3.98512e9 | − | 4.59907e9i | −0.493607 | − | 0.569653i | 0.453219 | − | 0.891399i | \(-0.350276\pi\) |
−0.946826 | + | 0.321747i | \(0.895730\pi\) | |||||||
\(678\) | 1.57597e8 | − | 1.01282e8i | 0.0194198 | − | 0.0124803i | ||||
\(679\) | −6.37503e9 | + | 4.09698e9i | −0.781516 | + | 0.502250i | ||||
\(680\) | −7.03848e9 | − | 8.12284e9i | −0.858416 | − | 0.990665i | ||||
\(681\) | −1.30765e9 | + | 3.83960e8i | −0.158663 | + | 0.0465877i | ||||
\(682\) | −1.67045e8 | + | 1.16182e9i | −0.0201645 | + | 0.140247i | ||||
\(683\) | 8.47426e9 | − | 9.77982e9i | 1.01772 | − | 1.17451i | 0.0331654 | − | 0.999450i | \(-0.489441\pi\) |
0.984557 | − | 0.175064i | \(-0.0560133\pi\) | |||||||
\(684\) | 1.83830e9 | − | 4.02533e9i | 0.219645 | − | 0.480955i | ||||
\(685\) | 4.81997e9 | + | 1.41527e9i | 0.572964 | + | 0.168237i | ||||
\(686\) | −1.37592e9 | − | 3.01284e9i | −0.162727 | − | 0.356322i | ||||
\(687\) | −3.76928e8 | − | 2.62159e9i | −0.0443517 | − | 0.308473i | ||||
\(688\) | −3.89474e9 | − | 2.50300e9i | −0.455952 | − | 0.293022i | ||||
\(689\) | 4.02017e9 | 0.468249 | ||||||||
\(690\) | −1.83123e9 | + | 6.54246e8i | −0.212212 | + | 0.0758174i | ||||
\(691\) | −1.67372e9 | −0.192979 | −0.0964896 | − | 0.995334i | \(-0.530761\pi\) | ||||
−0.0964896 | + | 0.995334i | \(0.530761\pi\) | |||||||
\(692\) | 5.37837e9 | + | 3.45647e9i | 0.616991 | + | 0.396516i | ||||
\(693\) | 5.84083e8 | + | 4.06239e9i | 0.0666666 | + | 0.463676i | ||||
\(694\) | −5.38211e8 | − | 1.17852e9i | −0.0611216 | − | 0.133838i | ||||
\(695\) | −1.28518e10 | − | 3.77363e9i | −1.45217 | − | 0.426396i | ||||
\(696\) | −1.17978e9 | + | 2.58335e9i | −0.132638 | + | 0.290437i | ||||
\(697\) | 2.65246e9 | − | 3.06111e9i | 0.296712 | − | 0.342424i | ||||
\(698\) | 3.46065e8 | − | 2.40694e9i | 0.0385180 | − | 0.267899i | ||||
\(699\) | 6.25615e9 | − | 1.83697e9i | 0.692846 | − | 0.203438i | ||||
\(700\) | −1.95473e10 | − | 2.25588e10i | −2.15399 | − | 2.48584i | ||||
\(701\) | −1.01067e10 | + | 6.49519e9i | −1.10815 | + | 0.712162i | −0.960888 | − | 0.276936i | \(-0.910681\pi\) |
−0.147258 | + | 0.989098i | \(0.547045\pi\) | |||||||
\(702\) | 2.27120e8 | − | 1.45961e8i | 0.0247785 | − | 0.0159242i | ||||
\(703\) | −5.01105e9 | − | 5.78306e9i | −0.543982 | − | 0.627789i | ||||
\(704\) | 5.10036e9 | − | 1.49760e9i | 0.550930 | − | 0.161768i | ||||
\(705\) | −1.26079e9 | + | 8.76901e9i | −0.135513 | + | 0.942516i | ||||
\(706\) | 1.19611e9 | − | 1.38039e9i | 0.127925 | − | 0.147634i | ||||
\(707\) | −5.42500e9 | + | 1.18791e10i | −0.577340 | + | 1.26420i | ||||
\(708\) | 3.09587e9 | + | 9.09029e8i | 0.327843 | + | 0.0962634i | ||||
\(709\) | −2.61302e9 | − | 5.72171e9i | −0.275347 | − | 0.602927i | 0.720551 | − | 0.693402i | \(-0.243889\pi\) |
−0.995899 | + | 0.0904750i | \(0.971161\pi\) | |||||||
\(710\) | −4.70511e8 | − | 3.27247e9i | −0.0493361 | − | 0.343140i | ||||
\(711\) | −1.27697e9 | − | 8.20658e8i | −0.133241 | − | 0.0856286i | ||||
\(712\) | 4.77357e8 | 0.0495637 | ||||||||
\(713\) | −4.57957e9 | + | 5.94403e9i | −0.473163 | + | 0.614141i | ||||
\(714\) | 3.77849e9 | 0.388485 | ||||||||
\(715\) | 7.84297e9 | + | 5.04037e9i | 0.802434 | + | 0.515693i | ||||
\(716\) | 1.54699e9 | + | 1.07595e10i | 0.157504 | + | 1.09546i | ||||
\(717\) | −1.99978e9 | − | 4.37891e9i | −0.202612 | − | 0.443659i | ||||
\(718\) | −1.24712e9 | − | 3.66187e8i | −0.125739 | − | 0.0369204i | ||||
\(719\) | 5.15158e9 | − | 1.12804e10i | 0.516879 | − | 1.13181i | −0.453728 | − | 0.891140i | \(-0.649906\pi\) |
0.970608 | − | 0.240668i | \(-0.0773664\pi\) | |||||||
\(720\) | −3.21925e9 | + | 3.71521e9i | −0.321433 | + | 0.370954i | ||||
\(721\) | −1.99464e9 | + | 1.38731e10i | −0.198195 | + | 1.37847i | ||||
\(722\) | −3.91981e9 | + | 1.15096e9i | −0.387601 | + | 0.113810i | ||||
\(723\) | 1.84139e9 | + | 2.12508e9i | 0.181202 | + | 0.209118i | ||||
\(724\) | −1.68406e9 | + | 1.08228e9i | −0.164920 | + | 0.105987i | ||||
\(725\) | 2.17304e10 | − | 1.39653e10i | 2.11780 | − | 1.36103i | ||||
\(726\) | 3.00754e8 | + | 3.47088e8i | 0.0291698 | + | 0.0336637i | ||||
\(727\) | 7.35488e8 | − | 2.15959e8i | 0.0709913 | − | 0.0208449i | −0.246044 | − | 0.969259i | \(-0.579131\pi\) |
0.317035 | + | 0.948414i | \(0.397313\pi\) | |||||||
\(728\) | −7.65913e8 | + | 5.32704e9i | −0.0735732 | + | 0.511713i | ||||
\(729\) | −2.53706e8 | + | 2.92793e8i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −2.69872e9 | + | 5.90937e9i | −0.256760 | + | 0.562226i | ||||
\(731\) | −1.11298e10 | − | 3.26801e9i | −1.05385 | − | 0.309438i | ||||
\(732\) | 2.17967e9 | + | 4.77280e9i | 0.205400 | + | 0.449764i | ||||
\(733\) | 3.41553e8 | + | 2.37555e9i | 0.0320327 | + | 0.222792i | 0.999549 | − | 0.0300145i | \(-0.00955534\pi\) |
−0.967517 | + | 0.252807i | \(0.918646\pi\) | |||||||
\(734\) | 1.28676e9 | + | 8.26950e8i | 0.120105 | + | 0.0771868i | ||||
\(735\) | 2.15609e10 | 2.00291 | ||||||||
\(736\) | −6.64707e9 | − | 1.54278e9i | −0.614551 | − | 0.142637i | ||||
\(737\) | 5.22065e8 | 0.0480384 | ||||||||
\(738\) | 1.81467e8 | + | 1.16622e8i | 0.0166189 | + | 0.0106803i | ||||
\(739\) | −790423. | − | 5.49752e6i | −7.20451e−5 | − | 0.000501084i | 0.989785 | − | 0.142565i | \(-0.0455351\pi\) |
−0.989857 | + | 0.142064i | \(0.954626\pi\) | |||||||
\(740\) | 3.74222e9 | + | 8.19433e9i | 0.339484 | + | 0.743365i | ||||
\(741\) | 6.96290e9 | + | 2.04449e9i | 0.628675 | + | 0.184596i | ||||
\(742\) | −1.24476e9 | + | 2.72565e9i | −0.111860 | + | 0.244938i | ||||
\(743\) | 7.93958e9 | − | 9.16277e9i | 0.710128 | − | 0.819532i | −0.279955 | − | 0.960013i | \(-0.590320\pi\) |
0.990083 | + | 0.140481i | \(0.0448650\pi\) | |||||||
\(744\) | 3.14335e8 | − | 2.18625e9i | 0.0279825 | − | 0.194623i | ||||
\(745\) | 9.47015e8 | − | 2.78069e8i | 0.0839092 | − | 0.0246380i | ||||
\(746\) | 6.39131e8 | + | 7.37596e8i | 0.0563643 | + | 0.0650478i | ||||
\(747\) | 1.37670e9 | − | 8.84751e8i | 0.120842 | − | 0.0776603i | ||||
\(748\) | 1.27708e10 | − | 8.20729e9i | 1.11574 | − | 0.717041i | ||||
\(749\) | −1.49435e10 | − | 1.72457e10i | −1.29947 | − | 1.49967i | ||||
\(750\) | −2.49723e9 | + | 7.33253e8i | −0.216144 | + | 0.0634657i | ||||
\(751\) | 3.20026e9 | − | 2.22583e10i | 0.275706 | − | 1.91757i | −0.108062 | − | 0.994144i | \(-0.534464\pi\) |
0.383767 | − | 0.923430i | \(-0.374627\pi\) | |||||||
\(752\) | −6.18297e9 | + | 7.13553e9i | −0.530194 | + | 0.611876i | ||||
\(753\) | −1.01454e9 | + | 2.22153e9i | −0.0865935 | + | 0.189613i | ||||
\(754\) | −2.17609e9 | − | 6.38958e8i | −0.184875 | − | 0.0542841i | ||||
\(755\) | 1.41127e10 | + | 3.09025e10i | 1.19343 | + | 2.61324i | ||||
\(756\) | −5.35226e8 | − | 3.72258e9i | −0.0450517 | − | 0.313341i | ||||
\(757\) | −1.04872e10 | − | 6.73973e9i | −0.878668 | − | 0.564686i | 0.0217247 | − | 0.999764i | \(-0.493084\pi\) |
−0.900393 | + | 0.435078i | \(0.856721\pi\) | |||||||
\(758\) | 3.61573e9 | 0.301546 | ||||||||
\(759\) | −1.12238e9 | − | 5.52727e9i | −0.0931737 | − | 0.458844i | ||||
\(760\) | 1.53858e10 | 1.27137 | ||||||||
\(761\) | −1.73939e10 | − | 1.11784e10i | −1.43071 | − | 0.919462i | −0.999855 | − | 0.0170409i | \(-0.994575\pi\) |
−0.430856 | − | 0.902421i | \(-0.641788\pi\) | |||||||
\(762\) | 4.10883e8 | + | 2.85775e9i | 0.0336415 | + | 0.233982i | ||||
\(763\) | −2.72102e9 | − | 5.95821e9i | −0.221767 | − | 0.485601i | ||||
\(764\) | 1.37262e10 | + | 4.03037e9i | 1.11358 | + | 0.326978i | ||||
\(765\) | −5.11662e9 | + | 1.12038e10i | −0.413208 | + | 0.904799i | ||||
\(766\) | −9.44366e8 | + | 1.08986e9i | −0.0759171 | + | 0.0876130i | ||||
\(767\) | −7.53016e8 | + | 5.23734e9i | −0.0602588 | + | 0.419109i | ||||
\(768\) | −3.68500e9 | + | 1.08201e9i | −0.293544 | + | 0.0861922i | ||||
\(769\) | −3.66940e9 | − | 4.23471e9i | −0.290973 | − | 0.335801i | 0.591376 | − | 0.806396i | \(-0.298585\pi\) |
−0.882349 | + | 0.470595i | \(0.844039\pi\) | |||||||
\(770\) | −5.84576e9 | + | 3.75684e9i | −0.461449 | + | 0.296555i | ||||
\(771\) | −6.16987e9 | + | 3.96514e9i | −0.484826 | + | 0.311579i | ||||
\(772\) | −8.82175e9 | − | 1.01808e10i | −0.690072 | − | 0.796385i | ||||
\(773\) | 2.04481e10 | − | 6.00411e9i | 1.59230 | − | 0.467542i | 0.638911 | − | 0.769281i | \(-0.279385\pi\) |
0.953391 | + | 0.301739i | \(0.0975672\pi\) | |||||||
\(774\) | 8.79161e7 | − | 6.11470e8i | 0.00681514 | − | 0.0474003i | ||||
\(775\) | −1.31557e10 | + | 1.51825e10i | −1.01521 | + | 1.17162i | ||||
\(776\) | −1.27342e9 | + | 2.78839e9i | −0.0978261 | + | 0.214209i | ||||
\(777\) | −6.23984e9 | − | 1.83218e9i | −0.477199 | − | 0.140118i | ||||
\(778\) | −1.13148e9 | − | 2.47760e9i | −0.0861427 | − | 0.188626i | ||||
\(779\) | 8.25167e8 | + | 5.73916e9i | 0.0625404 | + | 0.434978i | ||||
\(780\) | −7.18693e9 | − | 4.61876e9i | −0.542266 | − | 0.348493i | ||||
\(781\) | 9.58906e9 | 0.720273 | ||||||||
\(782\) | −5.18393e9 | + | 2.98605e8i | −0.387646 | + | 0.0223292i | ||||
\(783\) | 3.25454e9 | 0.242283 | ||||||||
\(784\) | 1.93308e10 | + | 1.24231e10i | 1.43266 | + | 0.920714i | ||||
\(785\) | 2.46852e9 | + | 1.71689e10i | 0.182135 | + | 1.26677i | ||||
\(786\) | −2.49376e8 | − | 5.46056e8i | −0.0183179 | − | 0.0401105i | ||||
\(787\) | 2.14738e10 | + | 6.30528e9i | 1.57035 | + | 0.461098i | 0.947105 | − | 0.320925i | \(-0.103994\pi\) |
0.623250 | + | 0.782023i | \(0.285812\pi\) | |||||||
\(788\) | 6.50923e9 | − | 1.42532e10i | 0.473901 | − | 1.03770i | ||||
\(789\) | −2.70537e9 | + | 3.12217e9i | −0.196091 | + | 0.226301i | ||||
\(790\) | 3.65758e8 | − | 2.54390e9i | 0.0263936 | − | 0.183571i | ||||
\(791\) | 4.10615e9 | − | 1.20568e9i | 0.294997 | − | 0.0866189i | ||||
\(792\) | 1.08719e9 | + | 1.25469e9i | 0.0777622 | + | 0.0897424i | ||||
\(793\) | −7.23848e9 | + | 4.65189e9i | −0.515456 | + | 0.331263i | ||||
\(794\) | 1.13257e9 | − | 7.27856e8i | 0.0802956 | − | 0.0516028i | ||||
\(795\) | −6.39642e9 | − | 7.38186e9i | −0.451494 | − | 0.521052i | ||||
\(796\) | −2.17472e10 | + | 6.38555e9i | −1.52829 | + | 0.448748i | ||||
\(797\) | 6.23712e8 | − | 4.33801e9i | 0.0436395 | − | 0.303520i | −0.956299 | − | 0.292392i | \(-0.905549\pi\) |
0.999938 | − | 0.0111277i | \(-0.00354212\pi\) | |||||||
\(798\) | −3.54208e9 | + | 4.08777e9i | −0.246745 | + | 0.284758i | ||||
\(799\) | −9.82711e9 | + | 2.15184e10i | −0.681573 | + | 1.49244i | ||||
\(800\) | −1.75292e10 | − | 5.14702e9i | −1.21045 | − | 0.355419i | ||||
\(801\) | −2.27246e8 | − | 4.97600e8i | −0.0156237 | − | 0.0342111i | ||||
\(802\) | −4.98505e8 | − | 3.46718e9i | −0.0341239 | − | 0.237337i | ||||
\(803\) | −1.58511e10 | − | 1.01869e10i | −1.08033 | − | 0.694283i | ||||
\(804\) | −4.78396e8 | −0.0324632 | ||||||||
\(805\) | −4.43487e10 | + | 2.55458e9i | −2.99637 | + | 0.172597i | ||||
\(806\) | 1.76384e9 | 0.118655 | ||||||||
\(807\) | 8.86023e9 | + | 5.69412e9i | 0.593455 | + | 0.381390i | ||||
\(808\) | 7.51797e8 | + | 5.22887e9i | 0.0501373 | + | 0.348713i | ||||
\(809\) | −2.06917e9 | − | 4.53085e9i | −0.137397 | − | 0.300857i | 0.828409 | − | 0.560124i | \(-0.189246\pi\) |
−0.965806 | + | 0.259267i | \(0.916519\pi\) | |||||||
\(810\) | −6.29382e8 | − | 1.84803e8i | −0.0416118 | − | 0.0122183i | ||||
\(811\) | −7.38669e9 | + | 1.61746e10i | −0.486269 | + | 1.06478i | 0.494422 | + | 0.869222i | \(0.335380\pi\) |
−0.980692 | + | 0.195560i | \(0.937348\pi\) | |||||||
\(812\) | −2.06892e10 | + | 2.38766e10i | −1.35612 | + | 1.56504i | ||||
\(813\) | 1.90341e9 | − | 1.32385e10i | 0.124227 | − | 0.864018i | ||||
\(814\) | 1.34137e9 | − | 3.93861e8i | 0.0871691 | − | 0.0255951i | ||||
\(815\) | −3.13248e9 | − | 3.61508e9i | −0.202692 | − | 0.233919i | ||||
\(816\) | −1.10429e10 | + | 7.09683e9i | −0.711487 | + | 0.457245i | ||||
\(817\) | 1.39690e10 | − | 8.97732e9i | 0.896164 | − | 0.575930i | ||||
\(818\) | −6.81691e8 | − | 7.86714e8i | −0.0435463 | − | 0.0502551i | ||||
\(819\) | 5.91755e9 | − | 1.73755e9i | 0.376399 | − | 0.110521i | ||||
\(820\) | 9.71426e8 | − | 6.75642e9i | 0.0615264 | − | 0.427925i | ||||
\(821\) | 8.83619e9 | − | 1.01975e10i | 0.557268 | − | 0.643122i | −0.405293 | − | 0.914187i | \(-0.632830\pi\) |
0.962561 | + | 0.271065i | \(0.0873759\pi\) | |||||||
\(822\) | −2.96760e8 | + | 6.49814e8i | −0.0186361 | + | 0.0408073i | ||||
\(823\) | 2.02063e10 | + | 5.93310e9i | 1.26353 | + | 0.371007i | 0.843809 | − | 0.536644i | \(-0.180308\pi\) |
0.419726 | + | 0.907651i | \(0.362126\pi\) | |||||||
\(824\) | 2.35522e9 | + | 5.15720e9i | 0.146651 | + | 0.321121i | ||||
\(825\) | −2.14897e9 | − | 1.49464e10i | −0.133242 | − | 0.926720i | ||||
\(826\) | −3.31773e9 | − | 2.13218e9i | −0.204838 | − | 0.131642i | ||||
\(827\) | −2.18599e10 | −1.34393 | −0.671967 | − | 0.740581i | \(-0.734550\pi\) | ||||
−0.671967 | + | 0.740581i | \(0.734550\pi\) | |||||||
\(828\) | 1.02850e9 | + | 5.06493e9i | 0.0629646 | + | 0.310076i | ||||
\(829\) | −2.82338e10 | −1.72119 | −0.860596 | − | 0.509289i | \(-0.829909\pi\) | ||||
−0.860596 | + | 0.509289i | \(0.829909\pi\) | |||||||
\(830\) | 2.33093e9 | + | 1.49800e9i | 0.141500 | + | 0.0909364i | ||||
\(831\) | 1.61094e9 | + | 1.12043e10i | 0.0973813 | + | 0.677302i | ||||
\(832\) | −3.31831e9 | − | 7.26609e9i | −0.199749 | − | 0.437390i | ||||
\(833\) | 5.52407e10 | + | 1.62201e10i | 3.31133 | + | 0.972293i | ||||
\(834\) | 7.91273e8 | − | 1.73265e9i | 0.0472329 | − | 0.103426i | ||||
\(835\) | 6.81288e8 | − | 7.86248e8i | 0.0404975 | − | 0.0467366i | ||||
\(836\) | −3.09266e9 | + | 2.15099e10i | −0.183067 | + | 1.27326i | ||||
\(837\) | −2.42860e9 | + | 7.13100e8i | −0.143158 | + | 0.0420350i | ||||
\(838\) | 3.45501e9 | + | 3.98729e9i | 0.202813 | + | 0.234058i | ||||
\(839\) | 6.80127e9 | − | 4.37091e9i | 0.397579 | − | 0.255508i | −0.326540 | − | 0.945183i | \(-0.605883\pi\) |
0.724119 | + | 0.689675i | \(0.242247\pi\) | |||||||
\(840\) | 1.10002e10 | − | 7.06939e9i | 0.640357 | − | 0.411533i | ||||
\(841\) | −6.60754e9 | − | 7.62551e9i | −0.383049 | − | 0.442062i | ||||
\(842\) | 1.96973e9 | − | 5.78366e8i | 0.113714 | − | 0.0333895i | ||||
\(843\) | −1.80526e8 | + | 1.25559e9i | −0.0103787 | + | 0.0721855i | ||||
\(844\) | 1.03239e10 | − | 1.19144e10i | 0.591078 | − | 0.682141i | ||||
\(845\) | −6.79888e9 | + | 1.48875e10i | −0.387649 | + | 0.848833i | ||||
\(846\) | −1.20881e9 | − | 3.54937e8i | −0.0686373 | − | 0.0201537i | ||||
\(847\) | 4.35829e9 | + | 9.54333e9i | 0.246447 | + | 0.539645i | ||||
\(848\) | −1.48147e9 | − | 1.03038e10i | −0.0834271 | − | 0.580248i | ||||
\(849\) | −5.18903e9 | − | 3.33478e9i | −0.291011 | − | 0.187021i | ||||
\(850\) | −1.39019e10 | −0.776440 | ||||||||
\(851\) | 8.70560e9 | + | 2.02056e9i | 0.484223 | + | 0.112388i | ||||
\(852\) | −8.78696e9 | −0.486743 | ||||||||
\(853\) | 1.69454e10 | + | 1.08902e10i | 0.934825 | + | 0.600776i | 0.916923 | − | 0.399064i | \(-0.130665\pi\) |
0.0179022 | + | 0.999840i | \(0.494301\pi\) | |||||||
\(854\) | −9.12707e8 | − | 6.34802e9i | −0.0501451 | − | 0.348767i | ||||
\(855\) | −7.32444e9 | − | 1.60383e10i | −0.400768 | − | 0.877559i | ||||
\(856\) | −8.85683e9 | − | 2.60060e9i | −0.482637 | − | 0.141715i | ||||
\(857\) | −8.76015e9 | + | 1.91821e10i | −0.475422 | + | 1.04103i | 0.508275 | + | 0.861195i | \(0.330283\pi\) |
−0.983697 | + | 0.179834i | \(0.942444\pi\) | |||||||
\(858\) | −8.68208e8 | + | 1.00197e9i | −0.0469265 | + | 0.0541561i | ||||
\(859\) | 2.76332e9 | − | 1.92193e10i | 0.148749 | − | 1.03457i | −0.769521 | − | 0.638621i | \(-0.779505\pi\) |
0.918271 | − | 0.395954i | \(-0.129586\pi\) | |||||||
\(860\) | −1.87563e10 | + | 5.50735e9i | −1.00555 | + | 0.295256i | ||||
\(861\) | 3.22695e9 | + | 3.72410e9i | 0.172298 | + | 0.198843i | ||||
\(862\) | 4.54920e9 | − | 2.92359e9i | 0.241913 | − | 0.155468i | ||||
\(863\) | 1.57930e10 | − | 1.01496e10i | 0.836426 | − | 0.537538i | −0.0508881 | − | 0.998704i | \(-0.516205\pi\) |
0.887314 | + | 0.461166i | \(0.152569\pi\) | |||||||
\(864\) | −1.50736e9 | − | 1.73958e9i | −0.0795094 | − | 0.0917587i | ||||
\(865\) | 2.44412e10 | − | 7.17658e9i | 1.28400 | − | 0.377017i | ||||
\(866\) | 7.00698e8 | − | 4.87346e9i | 0.0366622 | − | 0.254991i | ||||
\(867\) | −1.42825e10 | + | 1.64828e10i | −0.744279 | + | 0.858944i | ||||
\(868\) | 1.02071e10 | − | 2.23503e10i | 0.529763 | − | 1.16002i | ||||
\(869\) | 7.15223e9 | + | 2.10008e9i | 0.369719 | + | 0.108559i | ||||
\(870\) | 2.28908e9 | + | 5.01239e9i | 0.117854 | + | 0.258064i | ||||
\(871\) | −1.11648e8 | − | 7.76529e8i | −0.00572516 | − | 0.0398193i | ||||
\(872\) | −2.22900e9 | − | 1.43249e9i | −0.113842 | − | 0.0731618i | ||||
\(873\) | 3.51285e9 | 0.178694 | ||||||||
\(874\) | 4.53654e9 | − | 5.88818e9i | 0.229845 | − | 0.298326i | ||||
\(875\) | −5.94550e10 | −3.00027 | ||||||||
\(876\) | 1.45252e10 | + | 9.33477e9i | 0.730058 | + | 0.469180i | ||||
\(877\) | 4.12463e8 | + | 2.86874e9i | 0.0206484 | + | 0.143613i | 0.997538 | − | 0.0701335i | \(-0.0223425\pi\) |
−0.976889 | + | 0.213746i | \(0.931433\pi\) | |||||||
\(878\) | 3.13135e9 | + | 6.85671e9i | 0.156135 | + | 0.341889i | ||||
\(879\) | −1.24566e9 | − | 3.65760e8i | −0.0618642 | − | 0.0181650i | ||||
\(880\) | 1.00285e10 | − | 2.19593e10i | 0.496072 | − | 1.08625i | ||||
\(881\) | 8.68532e9 | − | 1.00234e10i | 0.427927 | − | 0.493854i | −0.500308 | − | 0.865847i | \(-0.666780\pi\) |
0.928236 | + | 0.371993i | \(0.121325\pi\) | |||||||
\(882\) | −4.36354e8 | + | 3.03491e9i | −0.0214141 | + | 0.148938i | ||||
\(883\) | −6.76166e9 | + | 1.98540e9i | −0.330515 | + | 0.0970479i | −0.442780 | − | 0.896630i | \(-0.646008\pi\) |
0.112265 | + | 0.993678i | \(0.464189\pi\) | |||||||
\(884\) | −1.49388e10 | − | 1.72403e10i | −0.727332 | − | 0.839386i | ||||
\(885\) | 1.08150e10 | − | 6.95035e9i | 0.524473 | − | 0.337058i | ||||
\(886\) | −1.76002e9 | + | 1.13110e9i | −0.0850159 | + | 0.0546364i | ||||
\(887\) | −4.19069e9 | − | 4.83632e9i | −0.201629 | − | 0.232692i | 0.645926 | − | 0.763400i | \(-0.276472\pi\) |
−0.847555 | + | 0.530708i | \(0.821926\pi\) | |||||||
\(888\) | −2.52410e9 | + | 7.41143e8i | −0.120965 | + | 0.0355187i | ||||
\(889\) | −9.38620e9 | + | 6.52825e10i | −0.448057 | + | 3.11631i | ||||
\(890\) | 6.06532e8 | − | 6.99975e8i | 0.0288396 | − | 0.0332826i | ||||
\(891\) | 7.90335e8 | − | 1.73059e9i | 0.0374317 | − | 0.0819639i | ||||
\(892\) | 2.80126e10 | + | 8.22525e9i | 1.32153 | + | 0.388036i | ||||
\(893\) | −1.40675e10 | − | 3.08035e10i | −0.661054 | − | 1.44751i | ||||
\(894\) | 1.99750e7 | + | 1.38929e8i | 0.000934986 | + | 0.00650297i | ||||
\(895\) | 3.64351e10 | + | 2.34154e10i | 1.69879 | + | 1.09175i | ||||
\(896\) | 2.94940e10 | 1.36979 | ||||||||
\(897\) | −7.98133e9 | + | 2.85150e9i | −0.369234 | + | 0.131917i | ||||
\(898\) | −8.04350e8 | −0.0370662 | ||||||||
\(899\) | 1.78874e10 | + | 1.14955e10i | 0.821085 | + | 0.527679i | ||||
\(900\) | 1.96922e9 | + | 1.36962e10i | 0.0900419 | + | 0.626255i | ||||
\(901\) | −1.08348e10 | − | 2.37249e10i | −0.493496 | − | 1.08060i | ||||
\(902\) | −1.01639e9 | − | 2.98439e8i | −0.0461144 | − | 0.0135404i | ||||
\(903\) | 5.86235e9 | − | 1.28368e10i | 0.264951 | − | 0.580161i | ||||
\(904\) | 1.13364e9 | − | 1.30829e9i | 0.0510371 | − | 0.0589000i | ||||
\(905\) | −1.13511e9 | + | 7.89485e9i | −0.0509058 | + | 0.354058i | ||||
\(906\) | −4.63545e9 | + | 1.36109e9i | −0.207082 | + | 0.0608048i | ||||
\(907\) | −8.16174e9 | − | 9.41915e9i | −0.363210 | − | 0.419166i | 0.544503 | − | 0.838759i | \(-0.316718\pi\) |
−0.907712 | + | 0.419593i | \(0.862173\pi\) | |||||||
\(908\) | −5.15923e9 | + | 3.31564e9i | −0.228710 | + | 0.146983i | ||||
\(909\) | 5.09271e9 | − | 3.27288e9i | 0.224893 | − | 0.144530i | ||||
\(910\) | 6.83816e9 | + | 7.89165e9i | 0.300811 | + | 0.347155i | ||||
\(911\) | 1.14071e9 | − | 3.34942e8i | 0.0499873 | − | 0.0146776i | −0.256643 | − | 0.966506i | \(-0.582617\pi\) |
0.306631 | + | 0.951829i | \(0.400798\pi\) | |||||||
\(912\) | 2.67422e9 | − | 1.85996e10i | 0.116739 | − | 0.811936i | ||||
\(913\) | −5.26269e9 | + | 6.07347e9i | −0.228855 | + | 0.264112i | ||||
\(914\) | −1.34182e9 | + | 2.93818e9i | −0.0581276 | + | 0.127282i | ||||
\(915\) | 2.00589e10 | + | 5.88981e9i | 0.865630 | + | 0.254172i | ||||
\(916\) | −4.95108e9 | − | 1.08413e10i | −0.212846 | − | 0.466068i | ||||
\(917\) | −1.95161e9 | − | 1.35738e10i | −0.0835798 | − | 0.581310i | ||||
\(918\) | −1.47350e9 | − | 9.46959e8i | −0.0628637 | − | 0.0404000i | ||||
\(919\) | 2.91017e10 | 1.23684 | 0.618421 | − | 0.785847i | \(-0.287773\pi\) | ||||
0.618421 | + | 0.785847i | \(0.287773\pi\) | |||||||
\(920\) | −1.45331e10 | + | 1.05682e10i | −0.615321 | + | 0.447451i | ||||
\(921\) | 1.81163e10 | 0.764120 | ||||||||
\(922\) | −4.14034e9 | − | 2.66083e9i | −0.173971 | − | 0.111805i | ||||
\(923\) | −2.05070e9 | − | 1.42629e10i | −0.0858412 | − | 0.597039i | ||||
\(924\) | 7.67213e9 | + | 1.67996e10i | 0.319937 | + | 0.700564i | ||||
\(925\) | 2.29578e10 | + | 6.74100e9i | 0.953747 | + | 0.280045i | ||||
\(926\) | 2.93281e9 | − | 6.42196e9i | 0.121380 | − | 0.265784i | ||||
\(927\) | 4.25470e9 | − | 4.91018e9i | 0.175424 | − | 0.202450i | ||||
\(928\) | −2.75185e9 | + | 1.91395e10i | −0.113033 | + | 0.786165i | ||||
\(929\) | −4.53443e8 | + | 1.33143e8i | −0.0185553 | + | 0.00544833i | −0.290997 | − | 0.956724i | \(-0.593987\pi\) |
0.272442 | + | 0.962172i | \(0.412169\pi\) | |||||||
\(930\) | −2.80642e9 | − | 3.23878e9i | −0.114409 | − | 0.132035i | ||||
\(931\) | −6.93323e10 | + | 4.45571e10i | −2.81586 | + | 1.80965i | ||||
\(932\) | 2.46832e10 | − | 1.58629e10i | 0.998724 | − | 0.641841i | ||||
\(933\) | 4.36511e9 | + | 5.03761e9i | 0.175958 | + | 0.203067i | ||||
\(934\) | 5.05193e9 | − | 1.48338e9i | 0.202882 | − | 0.0595715i | ||||
\(935\) | 8.60791e9 | − | 5.98693e10i | 0.344395 | − | 2.39532i | ||||
\(936\) | 1.63374e9 | − | 1.88544e9i | 0.0651204 | − | 0.0751530i | ||||
\(937\) | 1.04739e10 | − | 2.29346e10i | 0.415930 | − | 0.910759i | −0.579474 | − | 0.814991i | \(-0.696742\pi\) |
0.995404 | − | 0.0957681i | \(-0.0305307\pi\) | |||||||
\(938\) | 5.61052e8 | + | 1.64740e8i | 0.0221969 | + | 0.00651761i | ||||
\(939\) | −1.14860e10 | − | 2.51507e10i | −0.452728 | − | 0.991337i | ||||
\(940\) | 5.67353e9 | + | 3.94602e10i | 0.222795 | + | 1.54957i | ||||
\(941\) | −3.09402e10 | − | 1.98840e10i | −1.21048 | − | 0.777931i | −0.229744 | − | 0.973251i | \(-0.573789\pi\) |
−0.980740 | + | 0.195320i | \(0.937425\pi\) | |||||||
\(942\) | −2.46665e9 | −0.0961455 | ||||||||
\(943\) | −4.72156e9 | − | 4.85430e9i | −0.183356 | − | 0.188510i | ||||
\(944\) | 1.37010e10 | 0.530091 | ||||||||
\(945\) | −1.26058e10 | − | 8.10127e9i | −0.485914 | − | 0.312278i | ||||
\(946\) | 4.31732e8 | + | 3.00276e9i | 0.0165804 | + | 0.115319i | ||||
\(947\) | 5.85300e9 | + | 1.28163e10i | 0.223951 | + | 0.490385i | 0.987939 | − | 0.154847i | \(-0.0494883\pi\) |
−0.763987 | + | 0.645231i | \(0.776761\pi\) | |||||||
\(948\) | −6.55397e9 | − | 1.92442e9i | −0.249848 | − | 0.0733619i | ||||
\(949\) | −1.17622e10 | + | 2.57557e10i | −0.446744 | + | 0.978232i | ||||
\(950\) | 1.30321e10 | − | 1.50398e10i | 0.493152 | − | 0.569128i | ||||
\(951\) | 3.42321e9 | − | 2.38090e10i | 0.129063 | − | 0.897653i | ||||
\(952\) | 3.35016e10 | − | 9.83694e9i | 1.25845 | − | 0.369514i | ||||
\(953\) | −4.14569e7 | − | 4.78438e7i | −0.00155157 | − | 0.00179061i | 0.754973 | − | 0.655756i | \(-0.227650\pi\) |
−0.756525 | + | 0.653965i | \(0.773104\pi\) | |||||||
\(954\) | 1.16852e9 | − | 7.50962e8i | 0.0435729 | − | 0.0280026i | ||||
\(955\) | 4.79503e10 | − | 3.08158e10i | 1.78148 | − | 1.14488i | ||||
\(956\) | −1.41860e10 | − | 1.63715e10i | −0.525117 | − | 0.606017i | ||||
\(957\) | −1.53348e10 | + | 4.50270e9i | −0.565569 | + | 0.166066i | ||||
\(958\) | 9.22451e8 | − | 6.41579e9i | 0.0338972 | − | 0.235760i | ||||
\(959\) | −1.06867e10 | + | 1.23331e10i | −0.391272 | + | 0.451552i | ||||
\(960\) | −8.06234e9 | + | 1.76541e10i | −0.294111 | + | 0.644014i | ||||
\(961\) | 1.05315e10 | + | 3.09232e9i | 0.382788 | + | 0.112397i | ||||
\(962\) | −8.72698e8 | − | 1.91094e9i | −0.0316047 | − | 0.0692046i | ||||
\(963\) | 1.50542e9 | + | 1.04704e10i | 0.0543208 | + | 0.377809i | ||||
\(964\) | 1.06447e10 | + | 6.84093e9i | 0.382704 | + | 0.245949i | ||||
\(965\) | −5.36738e10 | −1.92272 | ||||||||
\(966\) | 5.37956e8 | − | 6.29421e9i | 0.0192011 | − | 0.224658i | ||||
\(967\) | −2.23997e10 | −0.796618 | −0.398309 | − | 0.917251i | \(-0.630403\pi\) | ||||
−0.398309 | + | 0.917251i | \(0.630403\pi\) | |||||||
\(968\) | 3.57021e9 | + | 2.29444e9i | 0.126512 | + | 0.0813041i | ||||
\(969\) | −6.70027e9 | − | 4.66014e10i | −0.236570 | − | 1.64538i | ||||
\(970\) | 2.47077e9 | + | 5.41022e9i | 0.0869222 | + | 0.190333i | ||||
\(971\) | −2.43697e10 | − | 7.15559e9i | −0.854246 | − | 0.250829i | −0.174845 | − | 0.984596i | \(-0.555942\pi\) |
−0.679402 | + | 0.733767i | \(0.737761\pi\) | |||||||
\(972\) | −7.24226e8 | + | 1.58583e9i | −0.0252954 | + | 0.0553893i | ||||
\(973\) | 2.84947e10 | − | 3.28847e10i | 0.991676 | − | 1.14446i | ||||
\(974\) | −2.11658e8 | + | 1.47211e9i | −0.00733969 | + | 0.0510487i | ||||
\(975\) | −2.17720e10 | + | 6.39283e9i | −0.752284 | + | 0.220891i | ||||
\(976\) | 1.45904e10 | + | 1.68383e10i | 0.502335 | + | 0.579726i | ||||
\(977\) | 9.35129e9 | − | 6.00971e9i | 0.320804 | − | 0.206168i | −0.370320 | − | 0.928904i | \(-0.620752\pi\) |
0.691124 | + | 0.722736i | \(0.257116\pi\) | |||||||
\(978\) | 5.72253e8 | − | 3.67765e8i | 0.0195615 | − | 0.0125714i | ||||
\(979\) | 1.75918e9 | + | 2.03020e9i | 0.0599199 | + | 0.0691512i | ||||
\(980\) | 9.30933e10 | − | 2.73347e10i | 3.15957 | − | 0.927732i | ||||
\(981\) | −4.32120e8 | + | 3.00546e9i | −0.0146138 | + | 0.101641i | ||||
\(982\) | −3.15045e9 | + | 3.63581e9i | −0.106165 | + | 0.122521i | ||||
\(983\) | −5.50758e8 | + | 1.20599e9i | −0.0184937 | + | 0.0404955i | −0.918653 | − | 0.395064i | \(-0.870722\pi\) |
0.900160 | + | 0.435560i | \(0.143450\pi\) | |||||||
\(984\) | 1.91258e9 | + | 5.61583e8i | 0.0639935 | + | 0.0187902i | ||||
\(985\) | −2.59350e10 | − | 5.67898e10i | −0.864689 | − | 1.89340i | ||||
\(986\) | 2.09401e9 | + | 1.45642e10i | 0.0695681 | + | 0.483857i | ||||
\(987\) | −2.42110e10 | − | 1.55595e10i | −0.801500 | − | 0.515093i | ||||
\(988\) | 3.26556e10 | 1.07723 | ||||||||
\(989\) | −7.02845e9 | + | 1.80748e10i | −0.231032 | + | 0.594137i | ||||
\(990\) | 3.22121e9 | 0.105510 | ||||||||
\(991\) | −4.85898e10 | − | 3.12268e10i | −1.58594 | − | 1.01922i | −0.973494 | − | 0.228713i | \(-0.926548\pi\) |
−0.612448 | − | 0.790511i | \(-0.709815\pi\) | |||||||
\(992\) | −2.14017e9 | − | 1.48852e10i | −0.0696078 | − | 0.484133i | ||||
\(993\) | −4.91387e9 | − | 1.07599e10i | −0.159258 | − | 0.348726i | ||||
\(994\) | 1.03051e10 | + | 3.02586e9i | 0.332814 | + | 0.0977230i | ||||
\(995\) | −3.75146e10 | + | 8.21455e10i | −1.20731 | + | 2.64364i | ||||
\(996\) | 4.82248e9 | − | 5.56544e9i | 0.154655 | − | 0.178481i | ||||
\(997\) | 1.04308e9 | − | 7.25475e9i | 0.0333336 | − | 0.231841i | −0.966343 | − | 0.257256i | \(-0.917182\pi\) |
0.999677 | + | 0.0254152i | \(0.00809079\pi\) | |||||||
\(998\) | 5.76337e8 | − | 1.69228e8i | 0.0183535 | − | 0.00538908i | ||||
\(999\) | 1.97417e9 | + | 2.27832e9i | 0.0626478 | + | 0.0722994i |
(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 | 69.8.e.a.25.8 | ✓ | 140 | |
23.12 | even | 11 | inner | 69.8.e.a.58.8 | yes | 140 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.8.e.a.25.8 | ✓ | 140 | 1.1 | even | 1 | trivial | |
69.8.e.a.58.8 | yes | 140 | 23.12 | even | 11 | inner |