Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,7,Mod(43,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.43");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.p (of order \(6\), 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: | \(16.5638940206\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 43.14 | ||
Character | \(\chi\) | \(=\) | 72.43 |
Dual form | 72.7.p.b.67.14 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −6.67572 | − | 4.40849i | −0.834465 | − | 0.551061i | ||||
\(3\) | 25.5449 | − | 8.74402i | 0.946108 | − | 0.323853i | ||||
\(4\) | 25.1304 | + | 58.8597i | 0.392663 | + | 0.919682i | ||||
\(5\) | 171.291 | − | 98.8948i | 1.37033 | − | 0.791158i | 0.379357 | − | 0.925250i | \(-0.376145\pi\) |
0.990969 | + | 0.134092i | \(0.0428118\pi\) | |||||||
\(6\) | −209.079 | − | 54.2419i | −0.967956 | − | 0.251120i | ||||
\(7\) | −265.898 | − | 153.516i | −0.775213 | − | 0.447570i | 0.0595180 | − | 0.998227i | \(-0.481044\pi\) |
−0.834731 | + | 0.550658i | \(0.814377\pi\) | |||||||
\(8\) | 91.7187 | − | 503.718i | 0.179138 | − | 0.983824i | ||||
\(9\) | 576.084 | − | 446.730i | 0.790239 | − | 0.612799i | ||||
\(10\) | −1579.47 | − | 94.9401i | −1.57947 | − | 0.0949401i | ||||
\(11\) | −476.183 | + | 824.774i | −0.357764 | + | 0.619665i | −0.987587 | − | 0.157074i | \(-0.949794\pi\) |
0.629823 | + | 0.776738i | \(0.283127\pi\) | |||||||
\(12\) | 1156.62 | + | 1283.82i | 0.669343 | + | 0.742954i | ||||
\(13\) | 2219.23 | − | 1281.27i | 1.01012 | − | 0.583191i | 0.0988910 | − | 0.995098i | \(-0.468470\pi\) |
0.911226 | + | 0.411907i | \(0.135137\pi\) | |||||||
\(14\) | 1098.29 | + | 2197.04i | 0.400250 | + | 0.800671i | ||||
\(15\) | 3510.87 | − | 4024.03i | 1.04026 | − | 1.19230i | ||||
\(16\) | −2832.92 | + | 2958.34i | −0.691632 | + | 0.722250i | ||||
\(17\) | 8058.70 | 1.64028 | 0.820140 | − | 0.572163i | \(-0.193895\pi\) | ||||
0.820140 | + | 0.572163i | \(0.193895\pi\) | |||||||
\(18\) | −5815.18 | + | 442.584i | −0.997116 | + | 0.0758889i | ||||
\(19\) | −5597.51 | −0.816083 | −0.408041 | − | 0.912963i | \(-0.633788\pi\) | ||||
−0.408041 | + | 0.912963i | \(0.633788\pi\) | |||||||
\(20\) | 10125.5 | + | 7596.85i | 1.26569 | + | 0.949607i | ||||
\(21\) | −8134.69 | − | 1596.54i | −0.878382 | − | 0.172394i | ||||
\(22\) | 6814.87 | − | 3406.71i | 0.640014 | − | 0.319939i | ||||
\(23\) | −8765.02 | + | 5060.48i | −0.720393 | + | 0.415919i | −0.814897 | − | 0.579606i | \(-0.803207\pi\) |
0.0945045 | + | 0.995524i | \(0.469873\pi\) | |||||||
\(24\) | −2061.57 | − | 13669.4i | −0.149130 | − | 0.988818i | ||||
\(25\) | 11747.9 | − | 20347.9i | 0.751863 | − | 1.30226i | ||||
\(26\) | −20463.4 | − | 1230.04i | −1.16428 | − | 0.0699838i | ||||
\(27\) | 10809.8 | − | 16449.0i | 0.549195 | − | 0.835695i | ||||
\(28\) | 2353.79 | − | 19508.6i | 0.107224 | − | 0.888694i | ||||
\(29\) | −34747.1 | − | 20061.3i | −1.42470 | − | 0.822554i | −0.428008 | − | 0.903775i | \(-0.640785\pi\) |
−0.996696 | + | 0.0812212i | \(0.974118\pi\) | |||||||
\(30\) | −41177.5 | + | 11385.6i | −1.52509 | + | 0.421690i | ||||
\(31\) | 24637.7 | − | 14224.6i | 0.827019 | − | 0.477480i | −0.0258117 | − | 0.999667i | \(-0.508217\pi\) |
0.852831 | + | 0.522187i | \(0.174884\pi\) | |||||||
\(32\) | 31953.6 | − | 7260.11i | 0.975147 | − | 0.221561i | ||||
\(33\) | −4952.22 | + | 25232.5i | −0.137803 | + | 0.702132i | ||||
\(34\) | −53797.6 | − | 35526.7i | −1.36876 | − | 0.903895i | ||||
\(35\) | −60727.9 | −1.41639 | ||||||||
\(36\) | 40771.6 | + | 22681.6i | 0.873878 | + | 0.486146i | ||||
\(37\) | 37084.9i | 0.732135i | 0.930588 | + | 0.366068i | \(0.119296\pi\) | ||||
−0.930588 | + | 0.366068i | \(0.880704\pi\) | |||||||
\(38\) | 37367.4 | + | 24676.6i | 0.680992 | + | 0.449712i | ||||
\(39\) | 45486.5 | − | 52134.9i | 0.766811 | − | 0.878891i | ||||
\(40\) | −34104.5 | − | 95352.7i | −0.532883 | − | 1.48989i | ||||
\(41\) | −25003.7 | − | 43307.7i | −0.362788 | − | 0.628367i | 0.625630 | − | 0.780120i | \(-0.284842\pi\) |
−0.988419 | + | 0.151752i | \(0.951508\pi\) | |||||||
\(42\) | 47266.6 | + | 46519.8i | 0.637979 | + | 0.627899i | ||||
\(43\) | 49466.2 | − | 85678.1i | 0.622162 | − | 1.07762i | −0.366920 | − | 0.930252i | \(-0.619588\pi\) |
0.989082 | − | 0.147364i | \(-0.0470789\pi\) | |||||||
\(44\) | −60512.6 | − | 7301.09i | −0.710375 | − | 0.0857096i | ||||
\(45\) | 54498.6 | − | 133493.i | 0.598064 | − | 1.46494i | ||||
\(46\) | 80821.9 | + | 4858.12i | 0.830339 | + | 0.0499109i | ||||
\(47\) | −43225.1 | − | 24956.0i | −0.416334 | − | 0.240371i | 0.277174 | − | 0.960820i | \(-0.410602\pi\) |
−0.693508 | + | 0.720449i | \(0.743936\pi\) | |||||||
\(48\) | −46499.0 | + | 100342.i | −0.420455 | + | 0.907313i | ||||
\(49\) | −11690.0 | − | 20247.6i | −0.0993630 | − | 0.172102i | ||||
\(50\) | −168129. | + | 84046.4i | −1.34503 | + | 0.672371i | ||||
\(51\) | 205859. | − | 70465.4i | 1.55188 | − | 0.531209i | ||||
\(52\) | 131185. | + | 98424.1i | 0.932986 | + | 0.699989i | ||||
\(53\) | 146625.i | 0.984874i | 0.870348 | + | 0.492437i | \(0.163894\pi\) | ||||
−0.870348 | + | 0.492437i | \(0.836106\pi\) | |||||||
\(54\) | −144678. | + | 62153.8i | −0.918802 | + | 0.394718i | ||||
\(55\) | 188368.i | 1.13219i | ||||||||
\(56\) | −101717. | + | 119857.i | −0.579200 | + | 0.682496i | ||||
\(57\) | −142988. | + | 48944.8i | −0.772102 | + | 0.264291i | ||||
\(58\) | 143522. | + | 287106.i | 0.735588 | + | 1.47149i | ||||
\(59\) | 174424. | + | 302111.i | 0.849278 | + | 1.47099i | 0.881854 | + | 0.471523i | \(0.156295\pi\) |
−0.0325763 | + | 0.999469i | \(0.510371\pi\) | |||||||
\(60\) | 325083. | + | 105523.i | 1.50501 | + | 0.488533i | ||||
\(61\) | −13556.3 | − | 7826.75i | −0.0597245 | − | 0.0344820i | 0.469840 | − | 0.882751i | \(-0.344311\pi\) |
−0.529565 | + | 0.848269i | \(0.677645\pi\) | |||||||
\(62\) | −227184. | − | 13655.8i | −0.953239 | − | 0.0572983i | ||||
\(63\) | −221760. | + | 30346.4i | −0.886874 | + | 0.121363i | ||||
\(64\) | −245319. | − | 92400.7i | −0.935819 | − | 0.352481i | ||||
\(65\) | 253422. | − | 438940.i | 0.922793 | − | 1.59832i | ||||
\(66\) | 144297. | − | 146613.i | 0.501909 | − | 0.509967i | ||||
\(67\) | −164544. | − | 284999.i | −0.547090 | − | 0.947588i | −0.998472 | − | 0.0552572i | \(-0.982402\pi\) |
0.451382 | − | 0.892331i | \(-0.350931\pi\) | |||||||
\(68\) | 202518. | + | 474332.i | 0.644077 | + | 1.50854i | ||||
\(69\) | −179653. | + | 205911.i | −0.546872 | + | 0.626805i | ||||
\(70\) | 405402. | + | 267718.i | 1.18193 | + | 0.780520i | ||||
\(71\) | 452950.i | 1.26554i | 0.774341 | + | 0.632769i | \(0.218082\pi\) | ||||
−0.774341 | + | 0.632769i | \(0.781918\pi\) | |||||||
\(72\) | −172188. | − | 331157.i | −0.461324 | − | 0.887232i | ||||
\(73\) | 351216. | 0.902829 | 0.451414 | − | 0.892314i | \(-0.350920\pi\) | ||||
0.451414 | + | 0.892314i | \(0.350920\pi\) | |||||||
\(74\) | 163488. | − | 247568.i | 0.403451 | − | 0.610941i | ||||
\(75\) | 122176. | − | 622508.i | 0.289601 | − | 1.47557i | ||||
\(76\) | −140668. | − | 329468.i | −0.320445 | − | 0.750537i | ||||
\(77\) | 253232. | − | 146204.i | 0.554686 | − | 0.320248i | ||||
\(78\) | −533491. | + | 147511.i | −1.12420 | + | 0.310843i | ||||
\(79\) | −120521. | − | 69583.1i | −0.244446 | − | 0.141131i | 0.372772 | − | 0.927923i | \(-0.378407\pi\) |
−0.617219 | + | 0.786792i | \(0.711741\pi\) | |||||||
\(80\) | −192690. | + | 786897.i | −0.376347 | + | 1.53691i | ||||
\(81\) | 132305. | − | 514709.i | 0.248955 | − | 0.968515i | ||||
\(82\) | −24003.9 | + | 399339.i | −0.0435351 | + | 0.724269i | ||||
\(83\) | −6431.24 | + | 11139.2i | −0.0112476 | + | 0.0194814i | −0.871594 | − | 0.490228i | \(-0.836914\pi\) |
0.860347 | + | 0.509709i | \(0.170247\pi\) | |||||||
\(84\) | −110456. | − | 518927.i | −0.186360 | − | 0.875525i | ||||
\(85\) | 1.38038e6 | − | 796963.i | 2.24772 | − | 1.29772i | ||||
\(86\) | −707934. | + | 353891.i | −1.11301 | + | 0.556383i | ||||
\(87\) | −1.06303e6 | − | 208633.i | −1.61431 | − | 0.316830i | ||||
\(88\) | 371778. | + | 315509.i | 0.545552 | + | 0.462982i | ||||
\(89\) | 425243. | 0.603208 | 0.301604 | − | 0.953433i | \(-0.402478\pi\) | ||||
0.301604 | + | 0.953433i | \(0.402478\pi\) | |||||||
\(90\) | −952318. | + | 650902.i | −1.30633 | + | 0.892869i | ||||
\(91\) | −786784. | −1.04407 | ||||||||
\(92\) | −518127. | − | 388734.i | −0.665385 | − | 0.499217i | ||||
\(93\) | 504988. | − | 578799.i | 0.627816 | − | 0.719580i | ||||
\(94\) | 178540. | + | 357156.i | 0.214957 | + | 0.430006i | ||||
\(95\) | −958802. | + | 553565.i | −1.11830 | + | 0.645651i | ||||
\(96\) | 752769. | − | 464862.i | 0.850840 | − | 0.525424i | ||||
\(97\) | −418662. | + | 725144.i | −0.458721 | + | 0.794528i | −0.998894 | − | 0.0470265i | \(-0.985025\pi\) |
0.540173 | + | 0.841554i | \(0.318359\pi\) | |||||||
\(98\) | −11222.5 | + | 186702.i | −0.0119237 | + | 0.198368i | ||||
\(99\) | 94129.7 | + | 687865.i | 0.0970111 | + | 0.708920i | ||||
\(100\) | 1.49290e6 | + | 180124.i | 1.49290 | + | 0.180124i | ||||
\(101\) | 597081. | + | 344725.i | 0.579521 | + | 0.334587i | 0.760943 | − | 0.648819i | \(-0.224737\pi\) |
−0.181422 | + | 0.983405i | \(0.558070\pi\) | |||||||
\(102\) | −1.68490e6 | − | 437119.i | −1.58772 | − | 0.411907i | ||||
\(103\) | −5241.91 | + | 3026.42i | −0.00479709 | + | 0.00276960i | −0.502397 | − | 0.864637i | \(-0.667548\pi\) |
0.497600 | + | 0.867407i | \(0.334215\pi\) | |||||||
\(104\) | −441854. | − | 1.23538e6i | −0.392807 | − | 1.09825i | ||||
\(105\) | −1.55129e6 | + | 531006.i | −1.34006 | + | 0.458703i | ||||
\(106\) | 646395. | − | 978827.i | 0.542726 | − | 0.821842i | ||||
\(107\) | 535932. | 0.437480 | 0.218740 | − | 0.975783i | \(-0.429805\pi\) | ||||
0.218740 | + | 0.975783i | \(0.429805\pi\) | |||||||
\(108\) | 1.23984e6 | + | 222891.i | 0.984222 | + | 0.176938i | ||||
\(109\) | − | 16474.4i | − | 0.0127213i | −0.999980 | − | 0.00636063i | \(-0.997975\pi\) | ||
0.999980 | − | 0.00636063i | \(-0.00202467\pi\) | |||||||
\(110\) | 830419. | − | 1.25749e6i | 0.623906 | − | 0.944773i | ||||
\(111\) | 324271. | + | 947329.i | 0.237104 | + | 0.692679i | ||||
\(112\) | 1.20742e6 | − | 351716.i | 0.859419 | − | 0.250345i | ||||
\(113\) | 489998. | + | 848702.i | 0.339593 | + | 0.588193i | 0.984356 | − | 0.176190i | \(-0.0563772\pi\) |
−0.644763 | + | 0.764383i | \(0.723044\pi\) | |||||||
\(114\) | 1.17032e6 | + | 303619.i | 0.789932 | + | 0.204934i | ||||
\(115\) | −1.00091e6 | + | 1.73363e6i | −0.658115 | + | 1.13989i | ||||
\(116\) | 307590. | − | 2.54935e6i | 0.197060 | − | 1.63326i | ||||
\(117\) | 706079. | − | 1.72952e6i | 0.440855 | − | 1.07986i | ||||
\(118\) | 167449. | − | 2.78575e6i | 0.101915 | − | 1.69550i | ||||
\(119\) | −2.14279e6 | − | 1.23714e6i | −1.27157 | − | 0.734139i | ||||
\(120\) | −1.70496e6 | − | 2.13757e6i | −0.986668 | − | 1.23702i | ||||
\(121\) | 432279. | + | 748730.i | 0.244010 | + | 0.422639i | ||||
\(122\) | 55994.1 | + | 112012.i | 0.0308363 | + | 0.0616858i | ||||
\(123\) | −1.01740e6 | − | 887658.i | −0.546735 | − | 0.477013i | ||||
\(124\) | 1.45641e6 | + | 1.09270e6i | 0.763870 | + | 0.573107i | ||||
\(125\) | − | 1.55674e6i | − | 0.797053i | ||||||
\(126\) | 1.61419e6 | + | 775043.i | 0.806943 | + | 0.387449i | ||||
\(127\) | 2.71762e6i | 1.32671i | 0.748304 | + | 0.663357i | \(0.230869\pi\) | ||||
−0.748304 | + | 0.663357i | \(0.769131\pi\) | |||||||
\(128\) | 1.23034e6 | + | 1.69833e6i | 0.586669 | + | 0.809826i | ||||
\(129\) | 514440. | − | 2.62117e6i | 0.239643 | − | 1.22103i | ||||
\(130\) | −3.62684e6 | + | 1.81303e6i | −1.65081 | + | 0.825230i | ||||
\(131\) | 2.09088e6 | + | 3.62151e6i | 0.930068 | + | 1.61092i | 0.783201 | + | 0.621768i | \(0.213585\pi\) |
0.146867 | + | 0.989156i | \(0.453081\pi\) | |||||||
\(132\) | −1.60963e6 | + | 342618.i | −0.699849 | + | 0.148966i | ||||
\(133\) | 1.48837e6 | + | 859310.i | 0.632638 | + | 0.365254i | ||||
\(134\) | −157965. | + | 2.62797e6i | −0.0656516 | + | 1.09221i | ||||
\(135\) | 224901. | − | 3.88659e6i | 0.0914091 | − | 1.57967i | ||||
\(136\) | 739133. | − | 4.05931e6i | 0.293837 | − | 1.61375i | ||||
\(137\) | −2.42290e6 | + | 4.19659e6i | −0.942268 | + | 1.63206i | −0.181136 | + | 0.983458i | \(0.557977\pi\) |
−0.761132 | + | 0.648598i | \(0.775356\pi\) | |||||||
\(138\) | 2.10707e6 | − | 582608.i | 0.801754 | − | 0.221686i | ||||
\(139\) | 67664.7 | + | 117199.i | 0.0251952 | + | 0.0436393i | 0.878348 | − | 0.478022i | \(-0.158646\pi\) |
−0.853153 | + | 0.521661i | \(0.825313\pi\) | |||||||
\(140\) | −1.52612e6 | − | 3.57442e6i | −0.556165 | − | 1.30263i | ||||
\(141\) | −1.32240e6 | − | 259538.i | −0.471741 | − | 0.0925855i | ||||
\(142\) | 1.99683e6 | − | 3.02377e6i | 0.697389 | − | 1.05605i | ||||
\(143\) | 2.44048e6i | 0.834578i | ||||||||
\(144\) | −310424. | + | 2.96980e6i | −0.103960 | + | 0.994581i | ||||
\(145\) | −7.93581e6 | −2.60308 | ||||||||
\(146\) | −2.34462e6 | − | 1.54833e6i | −0.753379 | − | 0.497514i | ||||
\(147\) | −475664. | − | 415006.i | −0.149744 | − | 0.130648i | ||||
\(148\) | −2.18280e6 | + | 931958.i | −0.673332 | + | 0.287482i | ||||
\(149\) | 1.16829e6 | − | 674514.i | 0.353177 | − | 0.203907i | −0.312907 | − | 0.949784i | \(-0.601303\pi\) |
0.666084 | + | 0.745877i | \(0.267969\pi\) | |||||||
\(150\) | −3.55993e6 | + | 3.61708e6i | −1.05479 | + | 1.07173i | ||||
\(151\) | 1.40420e6 | + | 810717.i | 0.407849 | + | 0.235472i | 0.689865 | − | 0.723938i | \(-0.257670\pi\) |
−0.282016 | + | 0.959410i | \(0.591003\pi\) | |||||||
\(152\) | −513397. | + | 2.81957e6i | −0.146192 | + | 0.802882i | ||||
\(153\) | 4.64249e6 | − | 3.60006e6i | 1.29621 | − | 1.00516i | ||||
\(154\) | −2.33505e6 | − | 140357.i | −0.639342 | − | 0.0384302i | ||||
\(155\) | 2.81348e6 | − | 4.87309e6i | 0.755524 | − | 1.30861i | ||||
\(156\) | 4.21174e6 | + | 1.36715e6i | 1.10940 | + | 0.360115i | ||||
\(157\) | −2.35624e6 | + | 1.36038e6i | −0.608865 | + | 0.351528i | −0.772521 | − | 0.634989i | \(-0.781004\pi\) |
0.163656 | + | 0.986517i | \(0.447671\pi\) | |||||||
\(158\) | 497811. | + | 995835.i | 0.126210 | + | 0.252474i | ||||
\(159\) | 1.28209e6 | + | 3.74552e6i | 0.318954 | + | 0.931796i | ||||
\(160\) | 4.75537e6 | − | 4.40363e6i | 1.16098 | − | 1.07511i | ||||
\(161\) | 3.10747e6 | 0.744610 | ||||||||
\(162\) | −3.15232e6 | + | 2.85278e6i | −0.741456 | + | 0.671002i | ||||
\(163\) | 1.71854e6 | 0.396823 | 0.198412 | − | 0.980119i | \(-0.436422\pi\) | ||||
0.198412 | + | 0.980119i | \(0.436422\pi\) | |||||||
\(164\) | 1.92072e6 | − | 2.56005e6i | 0.435445 | − | 0.580386i | ||||
\(165\) | 1.64710e6 | + | 4.81185e6i | 0.366663 | + | 1.07117i | ||||
\(166\) | 92040.3 | − | 46010.3i | 0.0201212 | − | 0.0100584i | ||||
\(167\) | 956468. | − | 552217.i | 0.205362 | − | 0.118566i | −0.393792 | − | 0.919200i | \(-0.628837\pi\) |
0.599154 | + | 0.800634i | \(0.295504\pi\) | |||||||
\(168\) | −1.55031e6 | + | 3.95116e6i | −0.326957 | + | 0.833290i | ||||
\(169\) | 869907. | − | 1.50672e6i | 0.180224 | − | 0.312157i | ||||
\(170\) | −1.27284e7 | − | 765094.i | −2.59077 | − | 0.155728i | ||||
\(171\) | −3.22464e6 | + | 2.50058e6i | −0.644900 | + | 0.500095i | ||||
\(172\) | 6.28609e6 | + | 758442.i | 1.23536 | + | 0.149052i | ||||
\(173\) | 5.20121e6 | + | 3.00292e6i | 1.00454 | + | 0.579970i | 0.909588 | − | 0.415512i | \(-0.136397\pi\) |
0.0949503 | + | 0.995482i | \(0.469731\pi\) | |||||||
\(174\) | 6.17672e6 | + | 6.07913e6i | 1.17249 | + | 1.15397i | ||||
\(175\) | −6.24747e6 | + | 3.60698e6i | −1.16571 | + | 0.673022i | ||||
\(176\) | −1.09097e6 | − | 3.74523e6i | −0.200112 | − | 0.686975i | ||||
\(177\) | 7.09730e6 | + | 6.19223e6i | 1.27989 | + | 1.11668i | ||||
\(178\) | −2.83880e6 | − | 1.87468e6i | −0.503356 | − | 0.332405i | ||||
\(179\) | −8.24312e6 | −1.43725 | −0.718625 | − | 0.695398i | \(-0.755228\pi\) | ||||
−0.718625 | + | 0.695398i | \(0.755228\pi\) | |||||||
\(180\) | 9.22690e6 | − | 146952.i | 1.58212 | − | 0.0251975i | ||||
\(181\) | − | 9.69953e6i | − | 1.63574i | −0.575401 | − | 0.817871i | \(-0.695154\pi\) | ||
0.575401 | − | 0.817871i | \(-0.304846\pi\) | |||||||
\(182\) | 5.25235e6 | + | 3.46853e6i | 0.871243 | + | 0.575349i | ||||
\(183\) | −414732. | − | 81396.7i | −0.0676729 | − | 0.0132817i | ||||
\(184\) | 1.74514e6 | + | 4.87924e6i | 0.280141 | + | 0.783246i | ||||
\(185\) | 3.66750e6 | + | 6.35229e6i | 0.579235 | + | 1.00326i | ||||
\(186\) | −5.92279e6 | + | 1.63766e6i | −0.920423 | + | 0.254499i | ||||
\(187\) | −3.83742e6 | + | 6.64660e6i | −0.586832 | + | 1.01642i | ||||
\(188\) | 382638. | − | 3.17137e6i | 0.0575857 | − | 0.477280i | ||||
\(189\) | −5.39949e6 | + | 2.71427e6i | −0.799774 | + | 0.402039i | ||||
\(190\) | 8.84108e6 | + | 531429.i | 1.28897 | + | 0.0774790i | ||||
\(191\) | 409661. | + | 236518.i | 0.0587928 | + | 0.0339440i | 0.529108 | − | 0.848554i | \(-0.322527\pi\) |
−0.470315 | + | 0.882498i | \(0.655860\pi\) | |||||||
\(192\) | −7.07461e6 | − | 215290.i | −0.999537 | − | 0.0304173i | ||||
\(193\) | −2.03144e6 | − | 3.51855e6i | −0.282574 | − | 0.489432i | 0.689444 | − | 0.724339i | \(-0.257855\pi\) |
−0.972018 | + | 0.234907i | \(0.924521\pi\) | |||||||
\(194\) | 5.99166e6 | − | 2.99519e6i | 0.820620 | − | 0.410222i | ||||
\(195\) | 2.63554e6 | − | 1.34286e7i | 0.355440 | − | 1.81104i | ||||
\(196\) | 897994. | − | 1.19690e6i | 0.119263 | − | 0.158960i | ||||
\(197\) | − | 607480.i | − | 0.0794572i | −0.999211 | − | 0.0397286i | \(-0.987351\pi\) | ||
0.999211 | − | 0.0397286i | \(-0.0126493\pi\) | |||||||
\(198\) | 2.40406e6 | − | 5.00696e6i | 0.309706 | − | 0.645028i | ||||
\(199\) | − | 7.48585e6i | − | 0.949909i | −0.880010 | − | 0.474954i | \(-0.842465\pi\) | ||
0.880010 | − | 0.474954i | \(-0.157535\pi\) | |||||||
\(200\) | −9.17209e6 | − | 7.78389e6i | −1.14651 | − | 0.972986i | ||||
\(201\) | −6.69531e6 | − | 5.84150e6i | −0.824485 | − | 0.719344i | ||||
\(202\) | −2.46623e6 | − | 4.93352e6i | −0.299212 | − | 0.598553i | ||||
\(203\) | 6.15946e6 | + | 1.06685e7i | 0.736300 | + | 1.27531i | ||||
\(204\) | 9.32089e6 | + | 1.03459e7i | 1.09791 | + | 1.21865i | ||||
\(205\) | −8.56581e6 | − | 4.94547e6i | −0.994276 | − | 0.574046i | ||||
\(206\) | 48335.4 | + | 2905.40i | 0.00552922 | + | 0.000332356i | ||||
\(207\) | −2.78872e6 | + | 6.83086e6i | −0.314408 | + | 0.770131i | ||||
\(208\) | −2.49647e6 | + | 1.01950e7i | −0.277419 | + | 1.13291i | ||||
\(209\) | 2.66544e6 | − | 4.61668e6i | 0.291965 | − | 0.505698i | ||||
\(210\) | 1.26969e7 | + | 3.29399e6i | 1.37101 | + | 0.355684i | ||||
\(211\) | −516964. | − | 895408.i | −0.0550317 | − | 0.0953177i | 0.837197 | − | 0.546901i | \(-0.184193\pi\) |
−0.892229 | + | 0.451583i | \(0.850859\pi\) | |||||||
\(212\) | −8.63030e6 | + | 3.68475e6i | −0.905771 | + | 0.386723i | ||||
\(213\) | 3.96060e6 | + | 1.15706e7i | 0.409848 | + | 1.19733i | ||||
\(214\) | −3.57773e6 | − | 2.36265e6i | −0.365062 | − | 0.241079i | ||||
\(215\) | − | 1.95678e7i | − | 1.96891i | ||||||
\(216\) | −7.29418e6 | − | 6.95377e6i | −0.723795 | − | 0.690016i | ||||
\(217\) | −8.73484e6 | −0.854822 | ||||||||
\(218\) | −72627.3 | + | 109979.i | −0.00701020 | + | 0.0106154i | ||||
\(219\) | 8.97177e6 | − | 3.07104e6i | 0.854173 | − | 0.292384i | ||||
\(220\) | −1.10873e7 | + | 4.73377e6i | −1.04126 | + | 0.444569i | ||||
\(221\) | 1.78841e7 | − | 1.03254e7i | 1.65687 | − | 0.956597i | ||||
\(222\) | 2.01155e6 | − | 7.75365e6i | 0.183854 | − | 0.708675i | ||||
\(223\) | 1.23038e7 | + | 7.10358e6i | 1.10949 | + | 0.640564i | 0.938697 | − | 0.344743i | \(-0.112034\pi\) |
0.170793 | + | 0.985307i | \(0.445367\pi\) | |||||||
\(224\) | −9.61095e6 | − | 2.97495e6i | −0.855110 | − | 0.264689i | ||||
\(225\) | −2.32226e6 | − | 1.69702e7i | −0.203875 | − | 1.48984i | ||||
\(226\) | 470404. | − | 7.82584e6i | 0.0407517 | − | 0.677963i | ||||
\(227\) | 5.75034e6 | − | 9.95989e6i | 0.491605 | − | 0.851485i | −0.508348 | − | 0.861152i | \(-0.669744\pi\) |
0.999953 | + | 0.00966671i | \(0.00307706\pi\) | |||||||
\(228\) | −6.47422e6 | − | 7.18622e6i | −0.546239 | − | 0.606312i | ||||
\(229\) | −9.35048e6 | + | 5.39850e6i | −0.778624 | + | 0.449539i | −0.835942 | − | 0.548817i | \(-0.815078\pi\) |
0.0573186 | + | 0.998356i | \(0.481745\pi\) | |||||||
\(230\) | 1.43245e7 | − | 7.16071e6i | 1.17732 | − | 0.588535i | ||||
\(231\) | 5.19039e6 | − | 5.94903e6i | 0.421079 | − | 0.482626i | ||||
\(232\) | −1.32922e7 | + | 1.56628e7i | −1.06447 | + | 1.25431i | ||||
\(233\) | 1.74767e7 | 1.38163 | 0.690816 | − | 0.723031i | \(-0.257251\pi\) | ||||
0.690816 | + | 0.723031i | \(0.257251\pi\) | |||||||
\(234\) | −1.23381e7 | + | 8.43302e6i | −0.962946 | + | 0.658166i | ||||
\(235\) | −9.87207e6 | −0.760685 | ||||||||
\(236\) | −1.33988e7 | + | 1.78587e7i | −1.01937 | + | 1.35867i | ||||
\(237\) | −3.68715e6 | − | 723652.i | −0.276978 | − | 0.0543606i | ||||
\(238\) | 8.85075e6 | + | 1.77053e7i | 0.656522 | + | 1.31332i | ||||
\(239\) | −9.66507e6 | + | 5.58013e6i | −0.707964 | + | 0.408743i | −0.810307 | − | 0.586006i | \(-0.800700\pi\) |
0.102343 | + | 0.994749i | \(0.467366\pi\) | |||||||
\(240\) | 1.95841e6 | + | 2.17861e7i | 0.141667 | + | 1.57596i | ||||
\(241\) | −3.06470e6 | + | 5.30822e6i | −0.218946 | + | 0.379226i | −0.954486 | − | 0.298255i | \(-0.903595\pi\) |
0.735540 | + | 0.677481i | \(0.236929\pi\) | |||||||
\(242\) | 414993. | − | 6.90401e6i | 0.0292816 | − | 0.487142i | ||||
\(243\) | −1.12090e6 | − | 1.43051e7i | −0.0781176 | − | 0.996944i | ||||
\(244\) | 120004. | − | 994611.i | 0.00826086 | − | 0.0684674i | ||||
\(245\) | −4.00476e6 | − | 2.31215e6i | −0.272319 | − | 0.157224i | ||||
\(246\) | 2.87865e6 | + | 1.04110e7i | 0.193368 | + | 0.699335i | ||||
\(247\) | −1.24222e7 | + | 7.17193e6i | −0.824339 | + | 0.475932i | ||||
\(248\) | −4.90544e6 | − | 1.37151e7i | −0.321605 | − | 0.899176i | ||||
\(249\) | −66883.7 | + | 340785.i | −0.00433234 | + | 0.0220741i | ||||
\(250\) | −6.86289e6 | + | 1.03924e7i | −0.439225 | + | 0.665113i | ||||
\(251\) | 1.05389e7 | 0.666462 | 0.333231 | − | 0.942845i | \(-0.391861\pi\) | ||||
0.333231 | + | 0.942845i | \(0.391861\pi\) | |||||||
\(252\) | −7.35911e6 | − | 1.22901e7i | −0.459858 | − | 0.767988i | ||||
\(253\) | − | 9.63887e6i | − | 0.595202i | ||||||
\(254\) | 1.19806e7 | − | 1.81420e7i | 0.731100 | − | 1.10710i | ||||
\(255\) | 2.82930e7 | − | 3.24284e7i | 1.70631 | − | 1.95571i | ||||
\(256\) | −726301. | − | 1.67615e7i | −0.0432909 | − | 0.999063i | ||||
\(257\) | −1.55955e7 | − | 2.70121e7i | −0.918753 | − | 1.59133i | −0.801312 | − | 0.598246i | \(-0.795864\pi\) |
−0.117440 | − | 0.993080i | \(-0.537469\pi\) | |||||||
\(258\) | −1.49897e7 | + | 1.52303e7i | −0.872836 | + | 0.886848i | ||||
\(259\) | 5.69313e6 | − | 9.86079e6i | 0.327681 | − | 0.567561i | ||||
\(260\) | 3.22045e7 | + | 3.88560e6i | 1.83230 | + | 0.221074i | ||||
\(261\) | −2.89792e7 | + | 3.96562e6i | −1.62992 | + | 0.223043i | ||||
\(262\) | 2.00727e6 | − | 3.33938e7i | 0.111609 | − | 1.85678i | ||||
\(263\) | −8.95016e6 | − | 5.16738e6i | −0.491998 | − | 0.284055i | 0.233405 | − | 0.972380i | \(-0.425013\pi\) |
−0.725403 | + | 0.688324i | \(0.758347\pi\) | |||||||
\(264\) | 1.22559e7 | + | 4.80882e6i | 0.666089 | + | 0.261352i | ||||
\(265\) | 1.45005e7 | + | 2.51155e7i | 0.779191 | + | 1.34960i | ||||
\(266\) | −6.14767e6 | − | 1.22980e7i | −0.326637 | − | 0.653414i | ||||
\(267\) | 1.08628e7 | − | 3.71833e6i | 0.570700 | − | 0.195350i | ||||
\(268\) | 1.26399e7 | − | 1.68472e7i | 0.656658 | − | 0.875232i | ||||
\(269\) | 1.65746e7i | 0.851502i | 0.904840 | + | 0.425751i | \(0.139990\pi\) | ||||
−0.904840 | + | 0.425751i | \(0.860010\pi\) | |||||||
\(270\) | −1.86354e7 | + | 2.49543e7i | −0.946775 | + | 1.26781i | ||||
\(271\) | 4.92564e6i | 0.247488i | 0.992314 | + | 0.123744i | \(0.0394902\pi\) | ||||
−0.992314 | + | 0.123744i | \(0.960510\pi\) | |||||||
\(272\) | −2.28297e7 | + | 2.38403e7i | −1.13447 | + | 1.18469i | ||||
\(273\) | −2.00983e7 | + | 6.87966e6i | −0.987807 | + | 0.338126i | ||||
\(274\) | 3.46752e7 | − | 1.73339e7i | 1.68565 | − | 0.842646i | ||||
\(275\) | 1.11883e7 | + | 1.93786e7i | 0.537978 | + | 0.931806i | ||||
\(276\) | −1.66346e7 | − | 5.39966e6i | −0.791198 | − | 0.256826i | ||||
\(277\) | 1.09746e7 | + | 6.33621e6i | 0.516358 | + | 0.298120i | 0.735443 | − | 0.677586i | \(-0.236974\pi\) |
−0.219085 | + | 0.975706i | \(0.570307\pi\) | |||||||
\(278\) | 64958.9 | − | 1.08068e6i | 0.00302346 | − | 0.0502996i | ||||
\(279\) | 7.83885e6 | − | 1.92010e7i | 0.360944 | − | 0.884120i | ||||
\(280\) | −5.56988e6 | + | 3.05897e7i | −0.253730 | + | 1.39348i | ||||
\(281\) | −5.56934e6 | + | 9.64639e6i | −0.251007 | + | 0.434756i | −0.963803 | − | 0.266615i | \(-0.914095\pi\) |
0.712797 | + | 0.701371i | \(0.247428\pi\) | |||||||
\(282\) | 7.68377e6 | + | 7.56237e6i | 0.342631 | + | 0.337218i | ||||
\(283\) | −9.08529e6 | − | 1.57362e7i | −0.400848 | − | 0.694288i | 0.592981 | − | 0.805217i | \(-0.297951\pi\) |
−0.993828 | + | 0.110928i | \(0.964618\pi\) | |||||||
\(284\) | −2.66605e7 | + | 1.13828e7i | −1.16389 | + | 0.496930i | ||||
\(285\) | −1.96521e7 | + | 2.25245e7i | −0.848936 | + | 0.973019i | ||||
\(286\) | 1.07588e7 | − | 1.62920e7i | 0.459904 | − | 0.696426i | ||||
\(287\) | 1.53539e7i | 0.649492i | ||||||||
\(288\) | 1.51647e7 | − | 1.84571e7i | 0.634827 | − | 0.772655i | ||||
\(289\) | 4.08050e7 | 1.69052 | ||||||||
\(290\) | 5.29773e7 | + | 3.49850e7i | 2.17218 | + | 1.43446i | ||||
\(291\) | −4.35401e6 | + | 2.21845e7i | −0.176689 | + | 0.900266i | ||||
\(292\) | 8.82620e6 | + | 2.06724e7i | 0.354507 | + | 0.830316i | ||||
\(293\) | −3.01889e7 | + | 1.74296e7i | −1.20017 | + | 0.692921i | −0.960594 | − | 0.277956i | \(-0.910343\pi\) |
−0.239580 | + | 0.970877i | \(0.577010\pi\) | |||||||
\(294\) | 1.34585e6 | + | 4.86742e6i | 0.0529609 | + | 0.191539i | ||||
\(295\) | 5.97544e7 | + | 3.44992e7i | 2.32757 | + | 1.34383i | ||||
\(296\) | 1.86803e7 | + | 3.40138e6i | 0.720292 | + | 0.131153i | ||||
\(297\) | 8.41924e6 | + | 1.67484e7i | 0.321369 | + | 0.639298i | ||||
\(298\) | −1.07728e7 | − | 647541.i | −0.407079 | − | 0.0244691i | ||||
\(299\) | −1.29677e7 | + | 2.24607e7i | −0.485121 | + | 0.840253i | ||||
\(300\) | 3.97110e7 | − | 8.45268e6i | 1.47078 | − | 0.313062i | ||||
\(301\) | −2.63060e7 | + | 1.51878e7i | −0.964617 | + | 0.556922i | ||||
\(302\) | −5.80003e6 | − | 1.16025e7i | −0.210576 | − | 0.421242i | ||||
\(303\) | 1.82667e7 | + | 3.58508e6i | 0.656646 | + | 0.128876i | ||||
\(304\) | 1.58573e7 | − | 1.65593e7i | 0.564429 | − | 0.589416i | ||||
\(305\) | −3.09610e6 | −0.109123 | ||||||||
\(306\) | −4.68628e7 | + | 3.56665e6i | −1.63555 | + | 0.124479i | ||||
\(307\) | −3.26234e7 | −1.12749 | −0.563747 | − | 0.825948i | \(-0.690641\pi\) | ||||
−0.563747 | + | 0.825948i | \(0.690641\pi\) | |||||||
\(308\) | 1.49694e7 | + | 1.12310e7i | 0.512331 | + | 0.384386i | ||||
\(309\) | −107441. | + | 123145.i | −0.00364162 | + | 0.00417389i | ||||
\(310\) | −4.02649e7 | + | 2.01282e7i | −1.35158 | + | 0.675646i | ||||
\(311\) | 6.87805e6 | − | 3.97104e6i | 0.228657 | − | 0.132015i | −0.381295 | − | 0.924453i | \(-0.624522\pi\) |
0.609952 | + | 0.792438i | \(0.291189\pi\) | |||||||
\(312\) | −2.20893e7 | − | 2.76941e7i | −0.727309 | − | 0.911850i | ||||
\(313\) | −9.81797e6 | + | 1.70052e7i | −0.320176 | + | 0.554561i | −0.980524 | − | 0.196398i | \(-0.937075\pi\) |
0.660348 | + | 0.750960i | \(0.270409\pi\) | |||||||
\(314\) | 2.17268e7 | + | 1.30598e6i | 0.701790 | + | 0.0421839i | ||||
\(315\) | −3.49844e7 | + | 2.71290e7i | −1.11929 | + | 0.867964i | ||||
\(316\) | 1.06688e6 | − | 8.84251e6i | 0.0338108 | − | 0.280230i | ||||
\(317\) | 3.07894e7 | + | 1.77763e7i | 0.966549 | + | 0.558037i | 0.898182 | − | 0.439623i | \(-0.144888\pi\) |
0.0683663 | + | 0.997660i | \(0.478221\pi\) | |||||||
\(318\) | 7.95321e6 | − | 3.06561e7i | 0.247321 | − | 0.953314i | ||||
\(319\) | 3.30920e7 | − | 1.91057e7i | 1.01941 | − | 0.588559i | ||||
\(320\) | −5.11589e7 | + | 8.43341e6i | −1.56125 | + | 0.257367i | ||||
\(321\) | 1.36903e7 | − | 4.68620e6i | 0.413904 | − | 0.141679i | ||||
\(322\) | −2.07446e7 | − | 1.36992e7i | −0.621351 | − | 0.410326i | ||||
\(323\) | −4.51087e7 | −1.33860 | ||||||||
\(324\) | 3.36205e7 | − | 5.14741e6i | 0.988482 | − | 0.151340i | ||||
\(325\) | − | 6.02088e7i | − | 1.75392i | ||||||
\(326\) | −1.14725e7 | − | 7.57618e6i | −0.331135 | − | 0.218674i | ||||
\(327\) | −144053. | − | 420837.i | −0.00411982 | − | 0.0120357i | ||||
\(328\) | −2.41082e7 | + | 8.62269e6i | −0.683192 | + | 0.244355i | ||||
\(329\) | 7.66231e6 | + | 1.32715e7i | 0.215165 | + | 0.372677i | ||||
\(330\) | 1.02174e7 | − | 3.93837e7i | 0.284315 | − | 1.09591i | ||||
\(331\) | 1.27036e7 | − | 2.20033e7i | 0.350303 | − | 0.606742i | −0.636000 | − | 0.771689i | \(-0.719412\pi\) |
0.986302 | + | 0.164947i | \(0.0527454\pi\) | |||||||
\(332\) | −817271. | − | 98607.0i | −0.0223333 | − | 0.00269460i | ||||
\(333\) | 1.65669e7 | + | 2.13640e7i | 0.448652 | + | 0.578562i | ||||
\(334\) | −8.81956e6 | − | 530135.i | −0.236705 | − | 0.0142281i | ||||
\(335\) | −5.63699e7 | − | 3.25452e7i | −1.49938 | − | 0.865670i | ||||
\(336\) | 2.77681e7 | − | 1.95423e7i | 0.732028 | − | 0.515178i | ||||
\(337\) | −3.21982e7 | − | 5.57689e7i | −0.841282 | − | 1.45714i | −0.888811 | − | 0.458273i | \(-0.848468\pi\) |
0.0475296 | − | 0.998870i | \(-0.484865\pi\) | |||||||
\(338\) | −1.24496e7 | + | 6.22348e6i | −0.322409 | + | 0.161170i | ||||
\(339\) | 1.99380e7 | + | 1.73954e7i | 0.511780 | + | 0.446515i | ||||
\(340\) | 8.15985e7 | + | 6.12207e7i | 2.07609 | + | 1.55762i | ||||
\(341\) | 2.70941e7i | 0.683300i | ||||||||
\(342\) | 3.25506e7 | − | 2.47737e6i | 0.813730 | − | 0.0619316i | ||||
\(343\) | 4.33005e7i | 1.07303i | ||||||||
\(344\) | −3.86206e7 | − | 3.27753e7i | −0.948732 | − | 0.805140i | ||||
\(345\) | −1.04093e7 | + | 5.30374e7i | −0.253492 | + | 1.29159i | ||||
\(346\) | −2.14835e7 | − | 4.29762e7i | −0.518652 | − | 1.03753i | ||||
\(347\) | −1.88251e7 | − | 3.26061e7i | −0.450557 | − | 0.780387i | 0.547864 | − | 0.836567i | \(-0.315441\pi\) |
−0.998421 | + | 0.0561804i | \(0.982108\pi\) | |||||||
\(348\) | −1.44342e7 | − | 6.78125e7i | −0.342497 | − | 1.60906i | ||||
\(349\) | −4.65328e7 | − | 2.68657e7i | −1.09467 | − | 0.632007i | −0.159853 | − | 0.987141i | \(-0.551102\pi\) |
−0.934816 | + | 0.355134i | \(0.884435\pi\) | |||||||
\(350\) | 5.76076e7 | + | 3.46274e6i | 1.34362 | + | 0.0807636i | ||||
\(351\) | 2.91379e6 | − | 5.03543e7i | 0.0673810 | − | 1.16443i | ||||
\(352\) | −9.22783e6 | + | 2.98116e7i | −0.211578 | + | 0.683530i | ||||
\(353\) | −6.62146e6 | + | 1.14687e7i | −0.150532 | + | 0.260730i | −0.931423 | − | 0.363938i | \(-0.881432\pi\) |
0.780891 | + | 0.624667i | \(0.214765\pi\) | |||||||
\(354\) | −2.00812e7 | − | 7.26260e7i | −0.452668 | − | 1.63713i | ||||
\(355\) | 4.47944e7 | + | 7.75861e7i | 1.00124 | + | 1.73420i | ||||
\(356\) | 1.06865e7 | + | 2.50297e7i | 0.236857 | + | 0.554760i | ||||
\(357\) | −6.55550e7 | − | 1.28660e7i | −1.44079 | − | 0.282775i | ||||
\(358\) | 5.50287e7 | + | 3.63397e7i | 1.19933 | + | 0.792013i | ||||
\(359\) | 2.64953e7i | 0.572646i | 0.958133 | + | 0.286323i | \(0.0924330\pi\) | ||||
−0.958133 | + | 0.286323i | \(0.907567\pi\) | |||||||
\(360\) | −6.22440e7 | − | 3.96957e7i | −1.33411 | − | 0.850816i | ||||
\(361\) | −1.57137e7 | −0.334009 | ||||||||
\(362\) | −4.27603e7 | + | 6.47513e7i | −0.901394 | + | 1.36497i | ||||
\(363\) | 1.75894e7 | + | 1.53464e7i | 0.367733 | + | 0.320838i | ||||
\(364\) | −1.97722e7 | − | 4.63099e7i | −0.409969 | − | 0.960217i | ||||
\(365\) | 6.01600e7 | − | 3.47334e7i | 1.23717 | − | 0.714281i | ||||
\(366\) | 2.40980e6 | + | 2.37173e6i | 0.0491516 | + | 0.0483750i | ||||
\(367\) | −1.68599e7 | − | 9.73408e6i | −0.341081 | − | 0.196923i | 0.319669 | − | 0.947529i | \(-0.396428\pi\) |
−0.660750 | + | 0.750606i | \(0.729762\pi\) | |||||||
\(368\) | 9.86001e6 | − | 4.02658e7i | 0.197849 | − | 0.807966i | ||||
\(369\) | −3.37511e7 | − | 1.37790e7i | −0.671752 | − | 0.274244i | ||||
\(370\) | 3.52084e6 | − | 5.85743e7i | 0.0695090 | − | 1.15638i | ||||
\(371\) | 2.25093e7 | − | 3.89873e7i | 0.440799 | − | 0.763487i | ||||
\(372\) | 4.67585e7 | + | 1.51780e7i | 0.908305 | + | 0.294839i | ||||
\(373\) | 7.52432e7 | − | 4.34417e7i | 1.44991 | − | 0.837105i | 0.451433 | − | 0.892305i | \(-0.350913\pi\) |
0.998475 | + | 0.0552001i | \(0.0175797\pi\) | |||||||
\(374\) | 5.49190e7 | − | 2.74536e7i | 1.04980 | − | 0.524789i | ||||
\(375\) | −1.36122e7 | − | 3.97669e7i | −0.258128 | − | 0.754098i | ||||
\(376\) | −1.65353e7 | + | 1.94843e7i | −0.311064 | + | 0.366540i | ||||
\(377\) | −1.02816e8 | −1.91882 | ||||||||
\(378\) | 4.80113e7 | + | 5.68390e6i | 0.888931 | + | 0.105238i | ||||
\(379\) | 1.01662e8 | 1.86742 | 0.933709 | − | 0.358033i | \(-0.116552\pi\) | ||||
0.933709 | + | 0.358033i | \(0.116552\pi\) | |||||||
\(380\) | −5.66778e7 | − | 4.25235e7i | −1.03291 | − | 0.774958i | ||||
\(381\) | 2.37629e7 | + | 6.94212e7i | 0.429659 | + | 1.25521i | ||||
\(382\) | −1.69209e6 | − | 3.38491e6i | −0.0303553 | − | 0.0607235i | ||||
\(383\) | −7.69628e7 | + | 4.44345e7i | −1.36989 | + | 0.790904i | −0.990913 | − | 0.134503i | \(-0.957056\pi\) |
−0.378973 | + | 0.925408i | \(0.623723\pi\) | |||||||
\(384\) | 4.62790e7 | + | 3.26256e7i | 0.817317 | + | 0.576189i | ||||
\(385\) | 2.89176e7 | − | 5.00867e7i | 0.506734 | − | 0.877689i | ||||
\(386\) | −1.95020e6 | + | 3.24444e7i | −0.0339092 | + | 0.564129i | ||||
\(387\) | −9.77826e6 | − | 7.14558e7i | −0.168705 | − | 1.23283i | ||||
\(388\) | −5.32029e7 | − | 6.41914e6i | −0.910836 | − | 0.109896i | ||||
\(389\) | 9.72343e7 | + | 5.61382e7i | 1.65185 | + | 0.953696i | 0.976311 | + | 0.216371i | \(0.0694221\pi\) |
0.675539 | + | 0.737325i | \(0.263911\pi\) | |||||||
\(390\) | −7.67940e7 | + | 7.80268e7i | −1.29459 | + | 1.31538i | ||||
\(391\) | −7.06346e7 | + | 4.07809e7i | −1.18165 | + | 0.682223i | ||||
\(392\) | −1.12713e7 | + | 4.03136e6i | −0.187118 | + | 0.0669257i | ||||
\(393\) | 8.50778e7 | + | 7.42283e7i | 1.40165 | + | 1.22290i | ||||
\(394\) | −2.67807e6 | + | 4.05537e6i | −0.0437858 | + | 0.0663043i | ||||
\(395\) | −2.75256e7 | −0.446628 | ||||||||
\(396\) | −3.81220e7 | + | 2.28268e7i | −0.613889 | + | 0.367586i | ||||
\(397\) | − | 3.22348e7i | − | 0.515174i | −0.966255 | − | 0.257587i | \(-0.917073\pi\) | ||
0.966255 | − | 0.257587i | \(-0.0829273\pi\) | |||||||
\(398\) | −3.30013e7 | + | 4.99734e7i | −0.523458 | + | 0.792665i | ||||
\(399\) | 4.55340e7 | + | 8.93666e6i | 0.716832 | + | 0.140688i | ||||
\(400\) | 2.69151e7 | + | 9.23981e7i | 0.420549 | + | 1.44372i | ||||
\(401\) | 2.74575e7 | + | 4.75578e7i | 0.425822 | + | 0.737545i | 0.996497 | − | 0.0836311i | \(-0.0266517\pi\) |
−0.570675 | + | 0.821176i | \(0.693318\pi\) | |||||||
\(402\) | 1.89438e7 | + | 6.85124e7i | 0.291601 | + | 1.05461i | ||||
\(403\) | 3.64511e7 | − | 6.31352e7i | 0.556924 | − | 0.964621i | ||||
\(404\) | −5.28550e6 | + | 4.38071e7i | −0.0801571 | + | 0.664355i | ||||
\(405\) | −2.82394e7 | − | 1.01249e8i | −0.425099 | − | 1.52414i | ||||
\(406\) | 5.91316e6 | − | 9.83738e7i | 0.0883571 | − | 1.46995i | ||||
\(407\) | −3.05866e7 | − | 1.76592e7i | −0.453678 | − | 0.261931i | ||||
\(408\) | −1.66136e7 | − | 1.10158e8i | −0.244615 | − | 1.62194i | ||||
\(409\) | −3.00526e6 | − | 5.20525e6i | −0.0439250 | − | 0.0760803i | 0.843227 | − | 0.537558i | \(-0.180653\pi\) |
−0.887152 | + | 0.461477i | \(0.847320\pi\) | |||||||
\(410\) | 3.53809e7 | + | 7.07769e7i | 0.513354 | + | 1.02693i | ||||
\(411\) | −2.51977e7 | + | 1.28387e8i | −0.362941 | + | 1.84926i | ||||
\(412\) | −309865. | − | 232482.i | −0.00443079 | − | 0.00332428i | ||||
\(413\) | − | 1.07108e8i | − | 1.52044i | ||||||
\(414\) | 4.87305e7 | − | 3.33069e7i | 0.686752 | − | 0.469389i | ||||
\(415\) | 2.54406e6i | 0.0355946i | ||||||||
\(416\) | 6.16101e7 | − | 5.70531e7i | 0.855800 | − | 0.792499i | ||||
\(417\) | 2.75327e6 | + | 2.40217e6i | 0.0379701 | + | 0.0331280i | ||||
\(418\) | −3.81463e7 | + | 1.90691e7i | −0.522305 | + | 0.261096i | ||||
\(419\) | −2.60082e7 | − | 4.50475e7i | −0.353564 | − | 0.612391i | 0.633307 | − | 0.773901i | \(-0.281697\pi\) |
−0.986871 | + | 0.161509i | \(0.948364\pi\) | |||||||
\(420\) | −7.02393e7 | − | 7.79639e7i | −0.948053 | − | 1.05231i | ||||
\(421\) | −7.80909e6 | − | 4.50858e6i | −0.104654 | − | 0.0604218i | 0.446760 | − | 0.894654i | \(-0.352578\pi\) |
−0.551413 | + | 0.834232i | \(0.685911\pi\) | |||||||
\(422\) | −496291. | + | 8.25652e6i | −0.00660388 | + | 0.109865i | ||||
\(423\) | −3.60499e7 | + | 4.93319e6i | −0.476302 | + | 0.0651788i | ||||
\(424\) | 7.38577e7 | + | 1.34483e7i | 0.968942 | + | 0.176428i | ||||
\(425\) | 9.46724e7 | − | 1.63977e8i | 1.23327 | − | 2.13608i | ||||
\(426\) | 2.45688e7 | − | 9.47021e7i | 0.317801 | − | 1.22498i | ||||
\(427\) | 2.40307e6 | + | 4.16224e6i | 0.0308661 | + | 0.0534617i | ||||
\(428\) | 1.34682e7 | + | 3.15448e7i | 0.171782 | + | 0.402343i | ||||
\(429\) | 2.13396e7 | + | 6.23418e7i | 0.270280 | + | 0.789601i | ||||
\(430\) | −8.62645e7 | + | 1.30629e8i | −1.08499 | + | 1.64299i | ||||
\(431\) | − | 6.23872e6i | − | 0.0779226i | −0.999241 | − | 0.0389613i | \(-0.987595\pi\) | ||
0.999241 | − | 0.0389613i | \(-0.0124049\pi\) | |||||||
\(432\) | 1.80383e7 | + | 7.85777e7i | 0.223740 | + | 0.974649i | ||||
\(433\) | 2.62664e6 | 0.0323547 | 0.0161773 | − | 0.999869i | \(-0.494850\pi\) | ||||
0.0161773 | + | 0.999869i | \(0.494850\pi\) | |||||||
\(434\) | 5.83113e7 | + | 3.85074e7i | 0.713319 | + | 0.471059i | ||||
\(435\) | −2.02720e8 | + | 6.93909e7i | −2.46279 | + | 0.843014i | ||||
\(436\) | 969678. | − | 414009.i | 0.0116995 | − | 0.00499517i | ||||
\(437\) | 4.90623e7 | − | 2.83261e7i | 0.587900 | − | 0.339424i | ||||
\(438\) | −7.34317e7 | − | 1.90506e7i | −0.873899 | − | 0.226718i | ||||
\(439\) | 7.72216e7 | + | 4.45839e7i | 0.912736 | + | 0.526968i | 0.881310 | − | 0.472538i | \(-0.156662\pi\) |
0.0314254 | + | 0.999506i | \(0.489995\pi\) | |||||||
\(440\) | 9.48844e7 | + | 1.72769e7i | 1.11388 | + | 0.202819i | ||||
\(441\) | −1.57796e7 | − | 6.44207e6i | −0.183984 | − | 0.0751120i | ||||
\(442\) | −1.64908e8 | − | 9.91248e6i | −1.90975 | − | 0.114793i | ||||
\(443\) | 4.29996e7 | − | 7.44775e7i | 0.494599 | − | 0.856671i | −0.505381 | − | 0.862896i | \(-0.668648\pi\) |
0.999981 | + | 0.00622521i | \(0.00198156\pi\) | |||||||
\(444\) | −4.76104e7 | + | 4.28932e7i | −0.543943 | + | 0.490050i | ||||
\(445\) | 7.28402e7 | − | 4.20543e7i | 0.826592 | − | 0.477233i | ||||
\(446\) | −5.08204e7 | − | 1.01663e8i | −0.572840 | − | 1.14593i | ||||
\(447\) | 2.39459e7 | − | 2.74460e7i | 0.268108 | − | 0.307295i | ||||
\(448\) | 5.10449e7 | + | 6.22297e7i | 0.567700 | + | 0.692092i | ||||
\(449\) | −9.94869e7 | −1.09907 | −0.549537 | − | 0.835469i | \(-0.685196\pi\) | ||||
−0.549537 | + | 0.835469i | \(0.685196\pi\) | |||||||
\(450\) | −5.93103e7 | + | 1.23526e8i | −0.650867 | + | 1.35557i | ||||
\(451\) | 4.76254e7 | 0.519169 | ||||||||
\(452\) | −3.76404e7 | + | 5.01694e7i | −0.407605 | + | 0.543279i | ||||
\(453\) | 4.29592e7 | + | 8.43131e6i | 0.462127 | + | 0.0906986i | ||||
\(454\) | −8.22958e7 | + | 4.11391e7i | −0.879447 | + | 0.439630i | ||||
\(455\) | −1.34769e8 | + | 7.78089e7i | −1.43072 | + | 0.826028i | ||||
\(456\) | 1.15397e7 | + | 7.65147e7i | 0.121702 | + | 0.806957i | ||||
\(457\) | 2.31538e7 | − | 4.01035e7i | 0.242590 | − | 0.420178i | −0.718861 | − | 0.695154i | \(-0.755336\pi\) |
0.961451 | + | 0.274975i | \(0.0886696\pi\) | |||||||
\(458\) | 8.62204e7 | + | 5.18263e6i | 0.897457 | + | 0.0539453i | ||||
\(459\) | 8.71129e7 | − | 1.32557e8i | 0.900833 | − | 1.37077i | ||||
\(460\) | −1.27194e8 | − | 1.53465e7i | −1.30675 | − | 0.157665i | ||||
\(461\) | −2.00556e7 | − | 1.15791e7i | −0.204707 | − | 0.118188i | 0.394142 | − | 0.919050i | \(-0.371042\pi\) |
−0.598849 | + | 0.800862i | \(0.704375\pi\) | |||||||
\(462\) | −6.08758e7 | + | 1.68323e7i | −0.617332 | + | 0.170694i | ||||
\(463\) | −7.54386e7 | + | 4.35545e7i | −0.760065 | + | 0.438824i | −0.829319 | − | 0.558775i | \(-0.811271\pi\) |
0.0692540 | + | 0.997599i | \(0.477938\pi\) | |||||||
\(464\) | 1.57784e8 | − | 4.59617e7i | 1.57946 | − | 0.460089i | ||||
\(465\) | 2.92597e7 | − | 1.49084e8i | 0.291012 | − | 1.48276i | ||||
\(466\) | −1.16670e8 | − | 7.70460e7i | −1.15292 | − | 0.761364i | ||||
\(467\) | −3.86756e7 | −0.379740 | −0.189870 | − | 0.981809i | \(-0.560807\pi\) | ||||
−0.189870 | + | 0.981809i | \(0.560807\pi\) | |||||||
\(468\) | 1.19543e8 | − | 1.90389e6i | 1.16623 | − | 0.0185740i | ||||
\(469\) | 1.01041e8i | 0.979444i | ||||||||
\(470\) | 6.59032e7 | + | 4.35209e7i | 0.634765 | + | 0.419184i | ||||
\(471\) | −4.82948e7 | + | 5.53537e7i | −0.462208 | + | 0.529766i | ||||
\(472\) | 1.68177e8 | − | 6.01511e7i | 1.59934 | − | 0.572029i | ||||
\(473\) | 4.71100e7 | + | 8.15969e7i | 0.445174 | + | 0.771064i | ||||
\(474\) | 2.14241e7 | + | 2.10856e7i | 0.201172 | + | 0.197994i | ||||
\(475\) | −6.57588e7 | + | 1.13898e8i | −0.613582 | + | 1.06276i | ||||
\(476\) | 1.89685e7 | − | 1.57214e8i | 0.175878 | − | 1.45771i | ||||
\(477\) | 6.55019e7 | + | 8.44684e7i | 0.603529 | + | 0.778286i | ||||
\(478\) | 8.91212e7 | + | 5.35699e6i | 0.816014 | + | 0.0490498i | ||||
\(479\) | −9.75546e7 | − | 5.63232e7i | −0.887649 | − | 0.512484i | −0.0144761 | − | 0.999895i | \(-0.504608\pi\) |
−0.873173 | + | 0.487411i | \(0.837941\pi\) | |||||||
\(480\) | 8.29700e7 | − | 1.54071e8i | 0.750235 | − | 1.39315i | ||||
\(481\) | 4.75158e7 | + | 8.22997e7i | 0.426975 | + | 0.739542i | ||||
\(482\) | 4.38604e7 | − | 2.19255e7i | 0.391680 | − | 0.195798i | ||||
\(483\) | 7.93800e7 | − | 2.71718e7i | 0.704482 | − | 0.241144i | ||||
\(484\) | −3.32066e7 | + | 4.42597e7i | −0.292879 | + | 0.390367i | ||||
\(485\) | 1.65614e8i | 1.45168i | ||||||||
\(486\) | −5.55809e7 | + | 1.00438e8i | −0.484191 | + | 0.874962i | ||||
\(487\) | 2.12868e8i | 1.84299i | 0.388392 | + | 0.921494i | \(0.373031\pi\) | ||||
−0.388392 | + | 0.921494i | \(0.626969\pi\) | |||||||
\(488\) | −5.18584e6 | + | 6.11070e6i | −0.0446231 | + | 0.0525814i | ||||
\(489\) | 4.39000e7 | − | 1.50270e7i | 0.375438 | − | 0.128512i | ||||
\(490\) | 1.65416e7 | + | 3.30902e7i | 0.140601 | + | 0.281262i | ||||
\(491\) | 3.92111e7 | + | 6.79156e7i | 0.331257 | + | 0.573753i | 0.982759 | − | 0.184894i | \(-0.0591941\pi\) |
−0.651502 | + | 0.758647i | \(0.725861\pi\) | |||||||
\(492\) | 2.66796e7 | − | 8.21911e7i | 0.224018 | − | 0.690128i | ||||
\(493\) | −2.80016e8 | − | 1.61668e8i | −2.33691 | − | 1.34922i | ||||
\(494\) | 1.14544e8 | + | 6.88514e6i | 0.950150 | + | 0.0571126i | ||||
\(495\) | 8.41498e7 | + | 1.08516e8i | 0.693805 | + | 0.894701i | ||||
\(496\) | −2.77157e7 | + | 1.13184e8i | −0.227133 | + | 0.927555i | ||||
\(497\) | 6.95352e7 | − | 1.20439e8i | 0.566416 | − | 0.981061i | ||||
\(498\) | 1.94885e6 | − | 1.98013e6i | 0.0157794 | − | 0.0160327i | ||||
\(499\) | −1.02028e8 | − | 1.76717e8i | −0.821139 | − | 1.42225i | −0.904835 | − | 0.425763i | \(-0.860006\pi\) |
0.0836957 | − | 0.996491i | \(-0.473328\pi\) | |||||||
\(500\) | 9.16295e7 | − | 3.91216e7i | 0.733036 | − | 0.312973i | ||||
\(501\) | 1.96043e7 | − | 2.24697e7i | 0.155897 | − | 0.178683i | ||||
\(502\) | −7.03549e7 | − | 4.64608e7i | −0.556139 | − | 0.367261i | ||||
\(503\) | − | 1.53051e8i | − | 1.20263i | −0.799011 | − | 0.601316i | \(-0.794643\pi\) | ||
0.799011 | − | 0.601316i | \(-0.205357\pi\) | |||||||
\(504\) | −5.05353e6 | + | 1.14488e8i | −0.0394733 | + | 0.894268i | ||||
\(505\) | 1.36366e8 | 1.05884 | ||||||||
\(506\) | −4.24929e7 | + | 6.43464e7i | −0.327993 | + | 0.496675i | ||||
\(507\) | 9.04688e6 | − | 4.60956e7i | 0.0694184 | − | 0.353700i | ||||
\(508\) | −1.59958e8 | + | 6.82948e7i | −1.22015 | + | 0.520951i | ||||
\(509\) | 1.77887e8 | − | 1.02703e8i | 1.34894 | − | 0.778808i | 0.360836 | − | 0.932629i | \(-0.382491\pi\) |
0.988099 | + | 0.153821i | \(0.0491580\pi\) | |||||||
\(510\) | −3.31837e8 | + | 9.17534e7i | −2.50158 | + | 0.691691i | ||||
\(511\) | −9.33876e7 | − | 5.39174e7i | −0.699885 | − | 0.404079i | ||||
\(512\) | −6.90443e7 | + | 1.15097e8i | −0.514420 | + | 0.857538i | ||||
\(513\) | −6.05080e7 | + | 9.20733e7i | −0.448188 | + | 0.681996i | ||||
\(514\) | −1.49718e7 | + | 2.49078e8i | −0.110252 | + | 1.83419i | ||||
\(515\) | −598594. | + | 1.03680e6i | −0.00438239 | + | 0.00759051i | ||||
\(516\) | 1.67209e8 | − | 3.55914e7i | 1.21706 | − | 0.259057i | ||||
\(517\) | 4.11661e7 | − | 2.37673e7i | 0.297898 | − | 0.171992i | ||||
\(518\) | −8.14769e7 | + | 4.07298e7i | −0.586200 | + | 0.293037i | ||||
\(519\) | 1.59122e8 | + | 3.12298e7i | 1.13823 | + | 0.223392i | ||||
\(520\) | −1.97858e8 | − | 1.67912e8i | −1.40716 | − | 1.19419i | ||||
\(521\) | −2.03967e8 | −1.44227 | −0.721136 | − | 0.692793i | \(-0.756380\pi\) | ||||
−0.721136 | + | 0.692793i | \(0.756380\pi\) | |||||||
\(522\) | 2.10940e8 | + | 1.01281e8i | 1.48302 | + | 0.712062i | ||||
\(523\) | 4.09801e7 | 0.286463 | 0.143231 | − | 0.989689i | \(-0.454251\pi\) | ||||
0.143231 | + | 0.989689i | \(0.454251\pi\) | |||||||
\(524\) | −1.60616e8 | + | 2.14078e8i | −1.11634 | + | 1.48792i | ||||
\(525\) | −1.28051e8 | + | 1.46768e8i | −0.884925 | + | 1.01427i | ||||
\(526\) | 3.69684e7 | + | 7.39527e7i | 0.254023 | + | 0.508155i | ||||
\(527\) | 1.98548e8 | − | 1.14632e8i | 1.35654 | − | 0.783201i | ||||
\(528\) | −6.06170e7 | − | 8.61321e7i | −0.411806 | − | 0.585145i | ||||
\(529\) | −2.28009e7 | + | 3.94924e7i | −0.154023 | + | 0.266776i | ||||
\(530\) | 1.39206e7 | − | 2.31589e8i | 0.0935041 | − | 1.55557i | ||||
\(531\) | 2.35445e8 | + | 9.61209e7i | 1.57255 | + | 0.641999i | ||||
\(532\) | −1.31754e7 | + | 1.09200e8i | −0.0875041 | + | 0.725248i | ||||
\(533\) | −1.10978e8 | − | 6.40731e7i | −0.732917 | − | 0.423150i | ||||
\(534\) | −8.89091e7 | − | 2.30660e7i | −0.583879 | − | 0.151477i | ||||
\(535\) | 9.18003e7 | − | 5.30009e7i | 0.599491 | − | 0.346116i | ||||
\(536\) | −1.58651e8 | + | 5.67442e7i | −1.03026 | + | 0.368491i | ||||
\(537\) | −2.10570e8 | + | 7.20780e7i | −1.35979 | + | 0.465457i | ||||
\(538\) | 7.30689e7 | − | 1.10647e8i | 0.469230 | − | 0.710548i | ||||
\(539\) | 2.22663e7 | 0.142194 | ||||||||
\(540\) | 2.34415e8 | − | 8.44341e7i | 1.48869 | − | 0.536212i | ||||
\(541\) | − | 1.71990e8i | − | 1.08620i | −0.839667 | − | 0.543102i | \(-0.817250\pi\) | ||
0.839667 | − | 0.543102i | \(-0.182750\pi\) | |||||||
\(542\) | 2.17146e7 | − | 3.28822e7i | 0.136381 | − | 0.206520i | ||||
\(543\) | −8.48129e7 | − | 2.47774e8i | −0.529739 | − | 1.54759i | ||||
\(544\) | 2.57504e8 | − | 5.85070e7i | 1.59951 | − | 0.363422i | ||||
\(545\) | −1.62923e6 | − | 2.82191e6i | −0.0100645 | − | 0.0174323i | ||||
\(546\) | 1.64500e8 | + | 4.26766e7i | 1.01062 | + | 0.262188i | ||||
\(547\) | 6.58124e7 | − | 1.13990e8i | 0.402111 | − | 0.696477i | −0.591869 | − | 0.806034i | \(-0.701610\pi\) |
0.993981 | + | 0.109557i | \(0.0349432\pi\) | |||||||
\(548\) | −3.07899e8 | − | 3.71492e7i | −1.87097 | − | 0.225740i | ||||
\(549\) | −1.13060e7 | + | 1.54716e6i | −0.0683271 | + | 0.00935012i | ||||
\(550\) | 1.07409e7 | − | 1.78690e8i | 0.0645582 | − | 1.07402i | ||||
\(551\) | 1.94497e8 | + | 1.12293e8i | 1.16268 | + | 0.671272i | ||||
\(552\) | 8.72436e7 | + | 1.09380e8i | 0.518700 | + | 0.650311i | ||||
\(553\) | 2.13643e7 | + | 3.70040e7i | 0.126332 | + | 0.218813i | ||||
\(554\) | −4.53305e7 | − | 9.06804e7i | −0.266601 | − | 0.533315i | ||||
\(555\) | 1.49230e8 | + | 1.30200e8i | 0.872928 | + | 0.761609i | ||||
\(556\) | −5.19783e6 | + | 6.92797e6i | −0.0302411 | + | 0.0403071i | ||||
\(557\) | − | 1.23660e8i | − | 0.715590i | −0.933800 | − | 0.357795i | \(-0.883529\pi\) | ||
0.933800 | − | 0.357795i | \(-0.116471\pi\) | |||||||
\(558\) | −1.36977e8 | + | 9.36229e7i | −0.788399 | + | 0.538865i | ||||
\(559\) | − | 2.53519e8i | − | 1.45136i | ||||||
\(560\) | 1.72037e8 | − | 1.79653e8i | 0.979623 | − | 1.02299i | ||||
\(561\) | −3.99084e7 | + | 2.03341e8i | −0.226035 | + | 1.15169i | ||||
\(562\) | 7.97054e7 | − | 3.98442e7i | 0.449033 | − | 0.224469i | ||||
\(563\) | 2.67443e7 | + | 4.63224e7i | 0.149867 | + | 0.259577i | 0.931178 | − | 0.364565i | \(-0.118782\pi\) |
−0.781311 | + | 0.624142i | \(0.785449\pi\) | |||||||
\(564\) | −1.79560e7 | − | 8.43581e7i | −0.100086 | − | 0.470207i | ||||
\(565\) | 1.67864e8 | + | 9.69165e7i | 0.930707 | + | 0.537344i | ||||
\(566\) | −8.72198e6 | + | 1.45103e8i | −0.0481023 | + | 0.800251i | ||||
\(567\) | −1.14196e8 | + | 1.16549e8i | −0.626471 | + | 0.639381i | ||||
\(568\) | 2.28159e8 | + | 4.15440e7i | 1.24507 | + | 0.226706i | ||||
\(569\) | 3.79964e7 | − | 6.58116e7i | 0.206255 | − | 0.357245i | −0.744277 | − | 0.667871i | \(-0.767206\pi\) |
0.950532 | + | 0.310627i | \(0.100539\pi\) | |||||||
\(570\) | 2.30491e8 | − | 6.37313e7i | 1.24460 | − | 0.344134i | ||||
\(571\) | 1.08931e7 | + | 1.88675e7i | 0.0585119 | + | 0.101346i | 0.893798 | − | 0.448471i | \(-0.148031\pi\) |
−0.835286 | + | 0.549816i | \(0.814698\pi\) | |||||||
\(572\) | −1.43646e8 | + | 6.13303e7i | −0.767547 | + | 0.327708i | ||||
\(573\) | 1.25329e7 | + | 2.45974e6i | 0.0666172 | + | 0.0130745i | ||||
\(574\) | 6.76876e7 | − | 1.02498e8i | 0.357910 | − | 0.541978i | ||||
\(575\) | 2.37799e8i | 1.25086i | ||||||||
\(576\) | −1.82603e8 | + | 5.63610e7i | −0.955520 | + | 0.294925i | ||||
\(577\) | −1.33930e8 | −0.697189 | −0.348595 | − | 0.937274i | \(-0.613341\pi\) | ||||
−0.348595 | + | 0.937274i | \(0.613341\pi\) | |||||||
\(578\) | −2.72403e8 | − | 1.79889e8i | −1.41068 | − | 0.931580i | ||||
\(579\) | −8.26592e7 | − | 7.21182e7i | −0.425849 | − | 0.371543i | ||||
\(580\) | −1.99430e8 | − | 4.67100e8i | −1.02213 | − | 2.39401i | ||||
\(581\) | 3.42011e6 | − | 1.97460e6i | 0.0174386 | − | 0.0100682i | ||||
\(582\) | 1.26866e8 | − | 1.28903e8i | 0.643543 | − | 0.653874i | ||||
\(583\) | −1.20932e8 | − | 6.98204e7i | −0.610291 | − | 0.352352i | ||||
\(584\) | 3.22131e7 | − | 1.76914e8i | 0.161731 | − | 0.888225i | ||||
\(585\) | −5.00953e7 | − | 3.66078e8i | −0.250224 | − | 1.82854i | ||||
\(586\) | 2.78371e8 | + | 1.67326e7i | 1.38334 | + | 0.0831515i | ||||
\(587\) | −1.74163e8 | + | 3.01659e8i | −0.861075 | + | 1.49143i | 0.00981689 | + | 0.999952i | \(0.496875\pi\) |
−0.870892 | + | 0.491474i | \(0.836458\pi\) | |||||||
\(588\) | 1.24735e7 | − | 3.84267e7i | 0.0613557 | − | 0.189017i | ||||
\(589\) | −1.37910e8 | + | 7.96224e7i | −0.674916 | + | 0.389663i | ||||
\(590\) | −2.46814e8 | − | 4.93734e8i | −1.20175 | − | 2.40401i | ||||
\(591\) | −5.31182e6 | − | 1.55180e7i | −0.0257324 | − | 0.0751751i | ||||
\(592\) | −1.09709e8 | − | 1.05059e8i | −0.528785 | − | 0.506368i | ||||
\(593\) | −5.02983e7 | −0.241206 | −0.120603 | − | 0.992701i | \(-0.538483\pi\) | ||||
−0.120603 | + | 0.992701i | \(0.538483\pi\) | |||||||
\(594\) | 1.76305e7 | − | 1.48923e8i | 0.0841214 | − | 0.710565i | ||||
\(595\) | −4.89387e8 | −2.32328 | ||||||||
\(596\) | 6.90613e7 | + | 5.18145e7i | 0.326209 | + | 0.244744i | ||||
\(597\) | −6.54564e7 | − | 1.91225e8i | −0.307630 | − | 0.898716i | ||||
\(598\) | 1.85587e8 | − | 9.27735e7i | 0.867847 | − | 0.433831i | ||||
\(599\) | 6.10638e7 | − | 3.52552e7i | 0.284121 | − | 0.164037i | −0.351167 | − | 0.936313i | \(-0.614215\pi\) |
0.635288 | + | 0.772276i | \(0.280882\pi\) | |||||||
\(600\) | −3.02363e8 | − | 1.18638e8i | −1.39983 | − | 0.549248i | ||||
\(601\) | −5.03593e7 | + | 8.72248e7i | −0.231983 | + | 0.401806i | −0.958392 | − | 0.285457i | \(-0.907855\pi\) |
0.726409 | + | 0.687263i | \(0.241188\pi\) | |||||||
\(602\) | 2.42566e8 | + | 1.45804e7i | 1.11184 | + | 0.0668314i | ||||
\(603\) | −2.22109e8 | − | 9.06766e7i | −1.01301 | − | 0.413565i | ||||
\(604\) | −1.24303e7 | + | 1.03025e8i | −0.0564121 | + | 0.467552i | ||||
\(605\) | 1.48091e8 | + | 8.55004e7i | 0.668748 | + | 0.386102i | ||||
\(606\) | −1.06138e8 | − | 1.04461e8i | −0.476930 | − | 0.469395i | ||||
\(607\) | −1.44345e8 | + | 8.33374e7i | −0.645408 | + | 0.372626i | −0.786695 | − | 0.617342i | \(-0.788209\pi\) |
0.141287 | + | 0.989969i | \(0.454876\pi\) | |||||||
\(608\) | −1.78861e8 | + | 4.06385e7i | −0.795800 | + | 0.180812i | ||||
\(609\) | 2.50628e8 | + | 2.18667e8i | 1.10963 | + | 0.968127i | ||||
\(610\) | 2.06687e7 | + | 1.36491e7i | 0.0910591 | + | 0.0601333i | ||||
\(611\) | −1.27902e8 | −0.560728 | ||||||||
\(612\) | 3.28566e8 | + | 1.82784e8i | 1.43340 | + | 0.797415i | ||||
\(613\) | 2.84171e8i | 1.23367i | 0.787093 | + | 0.616834i | \(0.211585\pi\) | ||||
−0.787093 | + | 0.616834i | \(0.788415\pi\) | |||||||
\(614\) | 2.17785e8 | + | 1.43820e8i | 0.940854 | + | 0.621318i | ||||
\(615\) | −2.62056e8 | − | 5.14320e7i | −1.12660 | − | 0.221110i | ||||
\(616\) | −5.04193e7 | − | 1.40967e8i | −0.215702 | − | 0.603082i | ||||
\(617\) | 1.92213e8 | + | 3.32922e8i | 0.818327 | + | 1.41738i | 0.906914 | + | 0.421316i | \(0.138432\pi\) |
−0.0885868 | + | 0.996068i | \(0.528235\pi\) | |||||||
\(618\) | 1.26013e6 | − | 348428.i | 0.00533887 | − | 0.00147621i | ||||
\(619\) | −1.69133e8 | + | 2.92946e8i | −0.713108 | + | 1.23514i | 0.250577 | + | 0.968097i | \(0.419380\pi\) |
−0.963685 | + | 0.267042i | \(0.913954\pi\) | |||||||
\(620\) | 3.57532e8 | + | 4.31377e7i | 1.50017 | + | 0.181001i | ||||
\(621\) | −1.15083e7 | + | 1.98878e8i | −0.0480546 | + | 0.830449i | ||||
\(622\) | −6.34222e7 | − | 3.81225e6i | −0.263554 | − | 0.0158420i | ||||
\(623\) | −1.13071e8 | − | 6.52817e7i | −0.467615 | − | 0.269977i | ||||
\(624\) | 2.53729e7 | + | 2.82259e8i | 0.104428 | + | 1.16170i | ||||
\(625\) | 2.96063e7 | + | 5.12797e7i | 0.121268 | + | 0.210042i | ||||
\(626\) | 1.40509e8 | − | 7.02397e7i | 0.572773 | − | 0.286325i | ||||
\(627\) | 2.77201e7 | − | 1.41239e8i | 0.112458 | − | 0.572998i | ||||
\(628\) | −1.39285e8 | − | 1.04501e8i | −0.562373 | − | 0.421930i | ||||
\(629\) | 2.98856e8i | 1.20091i | ||||||||
\(630\) | 3.53144e8 | − | 2.68772e7i | 1.41231 | − | 0.107488i | ||||
\(631\) | − | 2.29825e8i | − | 0.914766i | −0.889270 | − | 0.457383i | \(-0.848787\pi\) | ||
0.889270 | − | 0.457383i | \(-0.151213\pi\) | |||||||
\(632\) | −4.61043e7 | + | 5.43268e7i | −0.182638 | + | 0.215210i | ||||
\(633\) | −2.10353e7 | − | 1.83528e7i | −0.0829348 | − | 0.0723586i | ||||
\(634\) | −1.27175e8 | − | 2.54404e8i | −0.499038 | − | 0.998290i | ||||
\(635\) | 2.68758e8 | + | 4.65503e8i | 1.04964 | + | 1.81803i | ||||
\(636\) | −1.88241e8 | + | 1.69590e8i | −0.731716 | + | 0.659218i | ||||
\(637\) | −5.18853e7 | − | 2.99560e7i | −0.200737 | − | 0.115895i | ||||
\(638\) | −3.05140e8 | − | 1.83417e7i | −1.17500 | − | 0.0706280i | ||||
\(639\) | 2.02346e8 | + | 2.60937e8i | 0.775520 | + | 1.00008i | ||||
\(640\) | 3.78701e8 | + | 1.69234e8i | 1.44463 | + | 0.645578i | ||||
\(641\) | 2.57748e7 | − | 4.46433e7i | 0.0978636 | − | 0.169505i | −0.812937 | − | 0.582352i | \(-0.802132\pi\) |
0.910800 | + | 0.412848i | \(0.135466\pi\) | |||||||
\(642\) | −1.12052e8 | − | 2.90700e7i | −0.423462 | − | 0.109860i | ||||
\(643\) | 7.87336e6 | + | 1.36371e7i | 0.0296160 | + | 0.0512965i | 0.880454 | − | 0.474132i | \(-0.157238\pi\) |
−0.850838 | + | 0.525429i | \(0.823905\pi\) | |||||||
\(644\) | 7.80920e7 | + | 1.82905e8i | 0.292381 | + | 0.684805i | ||||
\(645\) | −1.71101e8 | − | 4.99858e8i | −0.637638 | − | 1.86281i | ||||
\(646\) | 3.01133e8 | + | 1.98861e8i | 1.11702 | + | 0.737653i | ||||
\(647\) | − | 1.32978e8i | − | 0.490985i | −0.969398 | − | 0.245492i | \(-0.921050\pi\) | ||
0.969398 | − | 0.245492i | \(-0.0789497\pi\) | |||||||
\(648\) | −2.47133e8 | − | 1.13853e8i | −0.908251 | − | 0.418426i | ||||
\(649\) | −3.32231e8 | −1.21536 | ||||||||
\(650\) | −2.65430e8 | + | 4.01937e8i | −0.966517 | + | 1.46358i | ||||
\(651\) | −2.23131e8 | + | 7.63776e7i | −0.808753 | + | 0.276836i | ||||
\(652\) | 4.31877e7 | + | 1.01153e8i | 0.155818 | + | 0.364952i | ||||
\(653\) | −4.64214e8 | + | 2.68014e8i | −1.66717 | + | 0.962539i | −0.698012 | + | 0.716086i | \(0.745932\pi\) |
−0.969155 | + | 0.246453i | \(0.920735\pi\) | |||||||
\(654\) | −893602. | + | 3.44444e6i | −0.00319456 | + | 0.0123136i | ||||
\(655\) | 7.16296e8 | + | 4.13554e8i | 2.54899 | + | 1.47166i | ||||
\(656\) | 1.98952e8 | + | 4.87180e7i | 0.704754 | + | 0.172575i | ||||
\(657\) | 2.02330e8 | − | 1.56899e8i | 0.713451 | − | 0.553252i | ||||
\(658\) | 7.35590e6 | − | 1.22376e8i | 0.0258201 | − | 0.429555i | ||||
\(659\) | 2.37942e8 | − | 4.12128e8i | 0.831409 | − | 1.44004i | −0.0655116 | − | 0.997852i | \(-0.520868\pi\) |
0.896921 | − | 0.442191i | \(-0.145799\pi\) | |||||||
\(660\) | −2.41832e8 | + | 2.17871e8i | −0.841165 | + | 0.757824i | ||||
\(661\) | 3.57978e8 | − | 2.06679e8i | 1.23952 | − | 0.715636i | 0.270522 | − | 0.962714i | \(-0.412804\pi\) |
0.968995 | + | 0.247078i | \(0.0794705\pi\) | |||||||
\(662\) | −1.81807e8 | + | 9.08841e7i | −0.626667 | + | 0.313266i | ||||
\(663\) | 3.66562e8 | − | 4.20139e8i | 1.25779 | − | 1.44163i | ||||
\(664\) | 5.02116e6 | + | 4.26121e6i | 0.0171514 | + | 0.0145555i | ||||
\(665\) | 3.39925e8 | 1.15589 | ||||||||
\(666\) | −1.64132e7 | − | 2.15655e8i | −0.0555609 | − | 0.730024i | ||||
\(667\) | 4.06079e8 | 1.36846 | ||||||||
\(668\) | 5.65398e7 | + | 4.24200e7i | 0.189681 | + | 0.142312i | ||||
\(669\) | 3.76412e8 | + | 7.38759e7i | 1.25714 | + | 0.246731i | ||||
\(670\) | 2.32834e8 | + | 4.65769e8i | 0.774146 | + | 1.54862i | ||||
\(671\) | 1.29106e7 | − | 7.45393e6i | 0.0427345 | − | 0.0246728i | ||||
\(672\) | −2.71524e8 | + | 8.04347e6i | −0.894747 | + | 0.0265055i | ||||
\(673\) | −1.07293e8 | + | 1.85837e8i | −0.351987 | + | 0.609660i | −0.986598 | − | 0.163173i | \(-0.947827\pi\) |
0.634610 | + | 0.772832i | \(0.281161\pi\) | |||||||
\(674\) | −3.09106e7 | + | 5.14243e8i | −0.100955 | + | 1.67953i | ||||
\(675\) | −2.07710e8 | − | 4.13197e8i | −0.675376 | − | 1.34352i | ||||
\(676\) | 1.10546e8 | + | 1.33379e7i | 0.357853 | + | 0.0431764i | ||||
\(677\) | −4.27718e8 | − | 2.46943e8i | −1.37845 | − | 0.795849i | −0.386478 | − | 0.922299i | \(-0.626308\pi\) |
−0.991973 | + | 0.126450i | \(0.959642\pi\) | |||||||
\(678\) | −5.64129e7 | − | 2.04024e8i | −0.181005 | − | 0.654623i | ||||
\(679\) | 2.22643e8 | − | 1.28543e8i | 0.711213 | − | 0.410619i | ||||
\(680\) | −2.74838e8 | − | 7.68419e8i | −0.874077 | − | 2.44383i | ||||
\(681\) | 5.98025e7 | − | 3.04706e8i | 0.189356 | − | 0.964804i | ||||
\(682\) | 1.19444e8 | − | 1.80872e8i | 0.376540 | − | 0.570189i | ||||
\(683\) | −2.57573e7 | −0.0808424 | −0.0404212 | − | 0.999183i | \(-0.512870\pi\) | ||||
−0.0404212 | + | 0.999183i | \(0.512870\pi\) | |||||||
\(684\) | −2.28220e8 | − | 1.26961e8i | −0.713157 | − | 0.396735i | ||||
\(685\) | 9.58450e8i | 2.98193i | ||||||||
\(686\) | 1.90890e8 | − | 2.89062e8i | 0.591303 | − | 0.895403i | ||||
\(687\) | −1.91653e8 | + | 2.19665e8i | −0.591077 | + | 0.677471i | ||||
\(688\) | 1.13330e8 | + | 3.89057e8i | 0.348002 | + | 1.19467i | ||||
\(689\) | 1.87866e8 | + | 3.25394e8i | 0.574370 | + | 0.994838i | ||||
\(690\) | 3.03304e8 | − | 3.08173e8i | 0.923275 | − | 0.938097i | ||||
\(691\) | 2.74595e6 | − | 4.75612e6i | 0.00832258 | − | 0.0144151i | −0.861834 | − | 0.507190i | \(-0.830684\pi\) |
0.870157 | + | 0.492775i | \(0.164017\pi\) | |||||||
\(692\) | −4.60424e7 | + | 3.81607e8i | −0.138944 | + | 1.15159i | ||||
\(693\) | 8.05695e7 | − | 1.97352e8i | 0.242087 | − | 0.592984i | ||||
\(694\) | −1.80723e7 | + | 3.00659e8i | −0.0540675 | + | 0.899490i | ||||
\(695\) | 2.31807e7 | + | 1.33834e7i | 0.0690513 | + | 0.0398668i | ||||
\(696\) | −2.02592e8 | + | 5.16331e8i | −0.600889 | + | 1.53144i | ||||
\(697\) | −2.01497e8 | − | 3.49004e8i | −0.595074 | − | 1.03070i | ||||
\(698\) | 1.92202e8 | + | 3.84487e8i | 0.565188 | + | 1.13062i | ||||
\(699\) | 4.46441e8 | − | 1.52817e8i | 1.30717 | − | 0.447445i | ||||
\(700\) | −3.69307e8 | − | 2.77079e8i | −1.07670 | − | 0.807810i | ||||
\(701\) | − | 4.47882e8i | − | 1.30020i | −0.759849 | − | 0.650100i | \(-0.774727\pi\) | ||
0.759849 | − | 0.650100i | \(-0.225273\pi\) | |||||||
\(702\) | −2.41438e8 | + | 3.23306e8i | −0.697902 | + | 0.934549i | ||||
\(703\) | − | 2.07583e8i | − | 0.597483i | ||||||
\(704\) | 1.93027e8 | − | 1.58333e8i | 0.553222 | − | 0.453789i | ||||
\(705\) | −2.52181e8 | + | 8.63216e7i | −0.719689 | + | 0.246350i | ||||
\(706\) | 9.47627e7 | − | 4.73712e7i | 0.269292 | − | 0.134617i | ||||
\(707\) | −1.05842e8 | − | 1.83324e8i | −0.299502 | − | 0.518752i | ||||
\(708\) | −1.86114e8 | + | 5.73358e8i | −0.524421 | + | 1.61557i | ||||
\(709\) | 9.07652e7 | + | 5.24033e7i | 0.254672 | + | 0.147035i | 0.621901 | − | 0.783095i | \(-0.286360\pi\) |
−0.367230 | + | 0.930130i | \(0.619694\pi\) | |||||||
\(710\) | 4.30031e7 | − | 7.15419e8i | 0.120150 | − | 1.99887i | ||||
\(711\) | −1.00515e8 | + | 1.37549e7i | −0.279656 | + | 0.0382691i | ||||
\(712\) | 3.90027e7 | − | 2.14202e8i | 0.108058 | − | 0.593450i | ||||
\(713\) | −1.43967e8 | + | 2.49358e8i | −0.397186 | + | 0.687946i | ||||
\(714\) | 3.80907e8 | + | 3.74889e8i | 1.04646 | + | 1.02993i | ||||
\(715\) | 2.41351e8 | + | 4.18032e8i | 0.660284 | + | 1.14364i | ||||
\(716\) | −2.07153e8 | − | 4.85187e8i | −0.564355 | − | 1.32181i | ||||
\(717\) | −1.98101e8 | + | 2.27055e8i | −0.537438 | + | 0.615991i | ||||
\(718\) | 1.16804e8 | − | 1.76875e8i | 0.315563 | − | 0.477853i | ||||
\(719\) | 2.88873e8i | 0.777179i | 0.921411 | + | 0.388589i | \(0.127038\pi\) | ||||
−0.921411 | + | 0.388589i | \(0.872962\pi\) | |||||||
\(720\) | 2.40525e8 | + | 5.39399e8i | 0.644412 | + | 1.44515i | ||||
\(721\) | 1.85842e6 | 0.00495836 | ||||||||
\(722\) | 1.04900e8 | + | 6.92739e7i | 0.278719 | + | 0.184059i | ||||
\(723\) | −3.18724e7 | + | 1.62396e8i | −0.0843333 | + | 0.429695i | ||||
\(724\) | 5.70911e8 | − | 2.43753e8i | 1.50436 | − | 0.642295i | ||||
\(725\) | −8.16408e8 | + | 4.71354e8i | −2.14236 | + | 1.23689i | ||||
\(726\) | −4.97678e7 | − | 1.79991e8i | −0.130059 | − | 0.470371i | ||||
\(727\) | −3.46492e8 | − | 2.00047e8i | −0.901757 | − | 0.520630i | −0.0239870 | − | 0.999712i | \(-0.507636\pi\) |
−0.877770 | + | 0.479083i | \(0.840969\pi\) | |||||||
\(728\) | −7.21629e7 | + | 3.96317e8i | −0.187034 | + | 1.02719i | ||||
\(729\) | −1.53717e8 | − | 3.55620e8i | −0.396771 | − | 0.917918i | ||||
\(730\) | −5.54733e8 | − | 3.33445e7i | −1.42599 | − | 0.0857147i | ||||
\(731\) | 3.98633e8 | − | 6.90453e8i | 1.02052 | − | 1.76759i | ||||
\(732\) | −5.63141e6 | − | 2.64565e7i | −0.0143577 | − | 0.0674528i | ||||
\(733\) | −8.75538e7 | + | 5.05492e7i | −0.222312 | + | 0.128352i | −0.607020 | − | 0.794686i | \(-0.707635\pi\) |
0.384708 | + | 0.923038i | \(0.374302\pi\) | |||||||
\(734\) | 6.96395e7 | + | 1.39309e8i | 0.176103 | + | 0.352282i | ||||
\(735\) | −1.22519e8 | − | 2.40460e7i | −0.308561 | − | 0.0605592i | ||||
\(736\) | −2.43334e8 | + | 2.25336e8i | −0.610337 | + | 0.565193i | ||||
\(737\) | 3.13413e8 | 0.782916 | ||||||||
\(738\) | 1.64568e8 | + | 2.40776e8i | 0.409428 | + | 0.599024i | ||||
\(739\) | −1.25348e8 | −0.310588 | −0.155294 | − | 0.987868i | \(-0.549633\pi\) | ||||
−0.155294 | + | 0.987868i | \(0.549633\pi\) | |||||||
\(740\) | −2.81728e8 | + | 3.75504e8i | −0.695241 | + | 0.926657i | ||||
\(741\) | −2.54611e8 | + | 2.91826e8i | −0.625782 | + | 0.717248i | ||||
\(742\) | −3.22141e8 | + | 1.61036e8i | −0.788560 | + | 0.394196i | ||||
\(743\) | 4.97007e8 | − | 2.86947e8i | 1.21170 | − | 0.699577i | 0.248573 | − | 0.968613i | \(-0.420038\pi\) |
0.963130 | + | 0.269036i | \(0.0867051\pi\) | |||||||
\(744\) | −2.45234e8 | − | 3.07458e8i | −0.595474 | − | 0.746565i | ||||
\(745\) | 1.33412e8 | − | 2.31076e8i | 0.322645 | − | 0.558838i | ||||
\(746\) | −6.93814e8 | − | 4.17045e7i | −1.67119 | − | 0.100454i | ||||
\(747\) | 1.27130e6 | + | 9.29016e6i | 0.00304990 | + | 0.0222875i | ||||
\(748\) | −4.87653e8 | − | 5.88372e7i | −1.16521 | − | 0.140588i | ||||
\(749\) | −1.42503e8 | − | 8.22744e7i | −0.339141 | − | 0.195803i | ||||
\(750\) | −8.44407e7 | + | 3.25482e8i | −0.200156 | + | 0.771512i | ||||
\(751\) | −1.76012e7 | + | 1.01620e7i | −0.0415549 | + | 0.0239917i | −0.520634 | − | 0.853780i | \(-0.674304\pi\) |
0.479079 | + | 0.877772i | \(0.340971\pi\) | |||||||
\(752\) | 1.96282e8 | − | 5.71758e7i | 0.461558 | − | 0.134449i | ||||
\(753\) | 2.69216e8 | − | 9.21526e7i | 0.630545 | − | 0.215835i | ||||
\(754\) | 6.86368e8 | + | 4.53262e8i | 1.60119 | + | 1.05739i | ||||
\(755\) | 3.20703e8 | 0.745181 | ||||||||
\(756\) | −2.95453e8 | − | 2.49602e8i | −0.683790 | − | 0.577673i | ||||
\(757\) | 2.30422e8i | 0.531173i | 0.964087 | + | 0.265587i | \(0.0855657\pi\) | ||||
−0.964087 | + | 0.265587i | \(0.914434\pi\) | |||||||
\(758\) | −6.78668e8 | − | 4.48177e8i | −1.55829 | − | 1.02906i | ||||
\(759\) | −8.42825e7 | − | 2.46224e8i | −0.192758 | − | 0.563126i | ||||
\(760\) | 1.90900e8 | + | 5.33738e8i | 0.434876 | + | 1.21587i | ||||
\(761\) | −2.29064e8 | − | 3.96750e8i | −0.519759 | − | 0.900250i | −0.999736 | − | 0.0229684i | \(-0.992688\pi\) |
0.479977 | − | 0.877281i | \(-0.340645\pi\) | |||||||
\(762\) | 1.47409e8 | − | 5.68195e8i | 0.333164 | − | 1.28420i | ||||
\(763\) | −2.52909e6 | + | 4.38051e6i | −0.00569365 | + | 0.00986169i | ||||
\(764\) | −3.62641e6 | + | 3.00563e7i | −0.00813199 | + | 0.0673993i | ||||
\(765\) | 4.39188e8 | − | 1.07578e9i | 0.980993 | − | 2.40291i | ||||
\(766\) | 7.09671e8 | + | 4.26576e7i | 1.57896 | + | 0.0949097i | ||||
\(767\) | 7.74172e8 | + | 4.46968e8i | 1.71574 | + | 0.990583i | ||||
\(768\) | −1.65116e8 | − | 4.21820e8i | −0.364507 | − | 0.931201i | ||||
\(769\) | −2.41434e8 | − | 4.18175e8i | −0.530907 | − | 0.919559i | −0.999349 | − | 0.0360644i | \(-0.988518\pi\) |
0.468442 | − | 0.883494i | \(-0.344815\pi\) | |||||||
\(770\) | −4.13853e8 | + | 2.06882e8i | −0.906512 | + | 0.453159i | ||||
\(771\) | −6.34579e8 | − | 5.53655e8i | −1.38459 | − | 1.20803i | ||||
\(772\) | 1.56050e8 | − | 2.07992e8i | 0.339166 | − | 0.452060i | ||||
\(773\) | 4.31231e8i | 0.933623i | 0.884357 | + | 0.466812i | \(0.154597\pi\) | ||||
−0.884357 | + | 0.466812i | \(0.845403\pi\) | |||||||
\(774\) | −2.49736e8 | + | 5.20126e8i | −0.538589 | + | 1.12172i | ||||
\(775\) | − | 6.68434e8i | − | 1.43600i | ||||||
\(776\) | 3.26869e8 | + | 2.77397e8i | 0.699501 | + | 0.593631i | ||||
\(777\) | 5.92075e7 | − | 3.01674e8i | 0.126216 | − | 0.643094i | ||||
\(778\) | −4.01624e8 | − | 8.03419e8i | −0.852865 | − | 1.70610i | ||||
\(779\) | 1.39959e8 | + | 2.42415e8i | 0.296065 | + | 0.512800i | ||||
\(780\) | 8.56636e8 | − | 1.82339e8i | 1.80515 | − | 0.384235i | ||||
\(781\) | −3.73581e8 | − | 2.15687e8i | −0.784209 | − | 0.452763i | ||||
\(782\) | 6.51319e8 | + | 3.91502e7i | 1.36199 | + | 0.0818678i | ||||
\(783\) | −7.05596e8 | + | 3.54696e8i | −1.46984 | + | 0.738876i | ||||
\(784\) | 9.30160e7 | + | 2.27771e7i | 0.193023 | + | 0.0472661i | ||||
\(785\) | −2.69068e8 | + | 4.66040e8i | −0.556229 | + | 0.963416i | ||||
\(786\) | −2.40720e8 | − | 8.70592e8i | −0.495730 | − | 1.79286i | ||||
\(787\) | −2.32120e8 | − | 4.02043e8i | −0.476199 | − | 0.824800i | 0.523430 | − | 0.852069i | \(-0.324652\pi\) |
−0.999628 | + | 0.0272688i | \(0.991319\pi\) | |||||||
\(788\) | 3.57561e7 | − | 1.52662e7i | 0.0730754 | − | 0.0311999i | ||||
\(789\) | −2.73815e8 | − | 5.37398e7i | −0.557475 | − | 0.109412i | ||||
\(790\) | 1.83753e8 | + | 1.21346e8i | 0.372695 | + | 0.246119i | ||||
\(791\) | − | 3.00891e8i | − | 0.607966i | ||||||
\(792\) | 3.55123e8 | + | 1.56753e7i | 0.714831 | + | 0.0315529i | ||||
\(793\) | −4.01128e7 | −0.0804383 | ||||||||
\(794\) | −1.42107e8 | + | 2.15190e8i | −0.283892 | + | 0.429894i | ||||
\(795\) | 5.90023e8 | + | 5.14781e8i | 1.17427 | + | 1.02452i | ||||
\(796\) | 4.40615e8 | − | 1.88123e8i | 0.873614 | − | 0.372994i | ||||
\(797\) | 8.22351e8 | − | 4.74784e8i | 1.62436 | − | 0.937824i | 0.638624 | − | 0.769519i | \(-0.279504\pi\) |
0.985735 | − | 0.168305i | \(-0.0538294\pi\) | |||||||
\(798\) | −2.64575e8 | − | 2.60395e8i | −0.520644 | − | 0.512418i | ||||
\(799\) | −3.48338e8 | − | 2.01113e8i | −0.682904 | − | 0.394275i | ||||
\(800\) | 2.27659e8 | − | 7.35479e8i | 0.444646 | − | 1.43648i | ||||
\(801\) | 2.44976e8 | − | 1.89969e8i | 0.476678 | − | 0.369645i | ||||
\(802\) | 2.63595e7 | − | 4.38528e8i | 0.0510992 | − | 0.850109i | ||||
\(803\) | −1.67243e8 | + | 2.89674e8i | −0.322999 | + | 0.559451i | ||||
\(804\) | 1.75573e8 | − | 5.40883e8i | 0.337823 | − | 1.04072i | ||||
\(805\) | 5.32281e8 | − | 3.07312e8i | 1.02036 | − | 0.589105i | ||||
\(806\) | −5.21669e8 | + | 2.60779e8i | −0.996299 | + | 0.498043i | ||||
\(807\) | 1.44928e8 | + | 4.23396e8i | 0.275761 | + | 0.805612i | ||||
\(808\) | 2.28408e8 | − | 2.69143e8i | 0.432989 | − | 0.510210i | ||||
\(809\) | 5.30810e7 | 0.100252 | 0.0501261 | − | 0.998743i | \(-0.484038\pi\) | ||||
0.0501261 | + | 0.998743i | \(0.484038\pi\) | |||||||
\(810\) | −2.57838e8 | + | 8.00403e8i | −0.485167 | + | 1.50610i | ||||
\(811\) | −4.91860e8 | −0.922103 | −0.461051 | − | 0.887373i | \(-0.652528\pi\) | ||||
−0.461051 | + | 0.887373i | \(0.652528\pi\) | |||||||
\(812\) | −4.73155e8 | + | 6.30648e8i | −0.883762 | + | 1.17793i | ||||
\(813\) | 4.30699e7 | + | 1.25825e8i | 0.0801497 | + | 0.234151i | ||||
\(814\) | 1.26337e8 | + | 2.52729e8i | 0.234238 | + | 0.468577i | ||||
\(815\) | 2.94370e8 | − | 1.69955e8i | 0.543778 | − | 0.313950i | ||||
\(816\) | −3.74721e8 | + | 8.08622e8i | −0.689665 | + | 1.48825i | ||||
\(817\) | −2.76888e8 | + | 4.79584e8i | −0.507736 | + | 0.879424i | ||||
\(818\) | −2.88508e6 | + | 4.79975e7i | −0.00527106 | + | 0.0876917i | ||||
\(819\) | −4.53254e8 | + | 3.51480e8i | −0.825068 | + | 0.639808i | ||||
\(820\) | 7.58266e7 | − | 6.28463e8i | 0.137524 | − | 1.13982i | ||||
\(821\) | −2.14262e8 | − | 1.23704e8i | −0.387183 | − | 0.223540i | 0.293756 | − | 0.955880i | \(-0.405095\pi\) |
−0.680939 | + | 0.732340i | \(0.738428\pi\) | |||||||
\(822\) | 7.34208e8 | − | 7.45994e8i | 1.32192 | − | 1.34314i | ||||
\(823\) | 6.18395e7 | − | 3.57030e7i | 0.110934 | − | 0.0640480i | −0.443506 | − | 0.896271i | \(-0.646266\pi\) |
0.554441 | + | 0.832223i | \(0.312932\pi\) | |||||||
\(824\) | 1.04368e6 | + | 2.91802e6i | 0.00186546 | + | 0.00521563i | ||||
\(825\) | 4.55250e8 | + | 3.97195e8i | 0.810753 | + | 0.707363i | ||||
\(826\) | −4.72183e8 | + | 7.15020e8i | −0.837857 | + | 1.26876i | ||||
\(827\) | −1.79566e8 | −0.317473 | −0.158737 | − | 0.987321i | \(-0.550742\pi\) | ||||
−0.158737 | + | 0.987321i | \(0.550742\pi\) | |||||||
\(828\) | −4.72144e8 | + | 7.51958e6i | −0.831732 | + | 0.0132465i | ||||
\(829\) | 1.75930e8i | 0.308800i | 0.988008 | + | 0.154400i | \(0.0493444\pi\) | ||||
−0.988008 | + | 0.154400i | \(0.950656\pi\) | |||||||
\(830\) | 1.12155e7 | − | 1.69835e7i | 0.0196148 | − | 0.0297024i | ||||
\(831\) | 3.35750e8 | + | 6.58955e7i | 0.585077 | + | 0.114829i | ||||
\(832\) | −6.62810e8 | + | 1.09262e8i | −1.15085 | + | 0.189715i | ||||
\(833\) | −9.42058e7 | − | 1.63169e8i | −0.162983 | − | 0.282295i | ||||
\(834\) | −7.79016e6 | − | 2.81740e7i | −0.0134291 | − | 0.0485680i | ||||
\(835\) | 1.09223e8 | − | 1.89179e8i | 0.187609 | − | 0.324948i | ||||
\(836\) | 3.38720e8 | + | 4.08679e7i | 0.579725 | + | 0.0699461i | ||||
\(837\) | 3.23488e7 | − | 5.59031e8i | 0.0551672 | − | 0.953365i | ||||
\(838\) | −2.49682e7 | + | 4.15382e8i | −0.0424282 | + | 0.705855i | ||||
\(839\) | 3.41702e8 | + | 1.97282e8i | 0.578577 | + | 0.334042i | 0.760568 | − | 0.649259i | \(-0.224921\pi\) |
−0.181991 | + | 0.983300i | \(0.558254\pi\) | |||||||
\(840\) | 1.25195e8 | + | 8.30114e8i | 0.211227 | + | 1.40055i | ||||
\(841\) | 5.07496e8 | + | 8.79010e8i | 0.853189 | + | 1.47777i | ||||
\(842\) | 3.22553e7 | + | 6.45243e7i | 0.0540337 | + | 0.108090i | ||||
\(843\) | −5.79202e7 | + | 2.95114e8i | −0.0966823 | + | 0.492615i | ||||
\(844\) | 3.97119e7 | − | 5.29303e7i | 0.0660531 | − | 0.0880394i | ||||
\(845\) | − | 3.44117e8i | − | 0.570343i | ||||||
\(846\) | 2.62407e8 | + | 1.25993e8i | 0.433375 | + | 0.208082i | ||||
\(847\) | − | 2.65448e8i | − | 0.436847i | ||||||
\(848\) | −4.33766e8 | − | 4.15378e8i | −0.711325 | − | 0.681170i | ||||
\(849\) | −3.69680e8 | − | 3.22537e8i | −0.604092 | − | 0.527056i | ||||
\(850\) | −1.35490e9 | + | 6.77305e8i | −2.20623 | + | 1.10288i | ||||
\(851\) | −1.87667e8 | − | 3.25049e8i | −0.304509 | − | 0.527425i | ||||
\(852\) | −5.81508e8 | + | 5.23893e8i | −0.940236 | + | 0.847079i | ||||
\(853\) | −2.25261e8 | − | 1.30054e8i | −0.362943 | − | 0.209545i | 0.307428 | − | 0.951571i | \(-0.400532\pi\) |
−0.670371 | + | 0.742026i | \(0.733865\pi\) | |||||||
\(854\) | 2.30697e6 | − | 3.83798e7i | 0.00370398 | − | 0.0616211i | ||||
\(855\) | −3.05057e8 | + | 7.47226e8i | −0.488070 | + | 1.19551i | ||||
\(856\) | 4.91550e7 | − | 2.69959e8i | 0.0783694 | − | 0.430404i | ||||
\(857\) | 1.14395e8 | − | 1.98138e8i | 0.181746 | − | 0.314793i | −0.760729 | − | 0.649069i | \(-0.775159\pi\) |
0.942475 | + | 0.334276i | \(0.108492\pi\) | |||||||
\(858\) | 1.32376e8 | − | 5.10252e8i | 0.209579 | − | 0.807835i | ||||
\(859\) | −2.36395e8 | − | 4.09449e8i | −0.372958 | − | 0.645982i | 0.617061 | − | 0.786915i | \(-0.288323\pi\) |
−0.990019 | + | 0.140933i | \(0.954990\pi\) | |||||||
\(860\) | 1.15176e9 | − | 4.91747e8i | 1.81078 | − | 0.773120i | ||||
\(861\) | 1.34255e8 | + | 3.92214e8i | 0.210340 | + | 0.614489i | ||||
\(862\) | −2.75033e7 | + | 4.16479e7i | −0.0429401 | + | 0.0650237i | ||||
\(863\) | − | 3.89747e8i | − | 0.606388i | −0.952929 | − | 0.303194i | \(-0.901947\pi\) | ||
0.952929 | − | 0.303194i | \(-0.0980530\pi\) | |||||||
\(864\) | 2.25991e8 | − | 6.04084e8i | 0.350388 | − | 0.936605i | ||||
\(865\) | 1.18789e9 | 1.83539 | ||||||||
\(866\) | −1.75347e7 | − | 1.15795e7i | −0.0269988 | − | 0.0178294i | ||||
\(867\) | 1.04236e9 | − | 3.56800e8i | 1.59941 | − | 0.547479i | ||||
\(868\) | −2.19510e8 | − | 5.14130e8i | −0.335657 | − | 0.786165i | ||||
\(869\) | 1.14781e8 | − | 6.62686e7i | 0.174908 | − | 0.100983i | ||||
\(870\) | 1.65921e9 | + | 4.30453e8i | 2.51967 | + | 0.653685i | ||||
\(871\) | −7.30323e8 | − | 4.21652e8i | −1.10525 | − | 0.638116i | ||||
\(872\) | −8.29845e6 | − | 1.51101e6i | −0.0125155 | − | 0.00227886i | ||||
\(873\) | 8.27592e7 | + | 6.04773e8i | 0.124387 | + | 0.908970i | ||||
\(874\) | −4.52401e8 | − | 2.71934e7i | −0.677625 | − | 0.0407314i | ||||
\(875\) | −2.38986e8 | + | 4.13935e8i | −0.356737 | + | 0.617886i | ||||
\(876\) | 4.06225e8 | + | 4.50899e8i | 0.604302 | + | 0.670760i | ||||
\(877\) | 1.08030e8 | − | 6.23709e7i | 0.160156 | − | 0.0924663i | −0.417780 | − | 0.908548i | \(-0.637192\pi\) |
0.577936 | + | 0.816082i | \(0.303858\pi\) | |||||||
\(878\) | −3.18962e8 | − | 6.38060e8i | −0.471254 | − | 0.942710i | ||||
\(879\) | −6.18768e8 | + | 7.09209e8i | −0.911090 | + | 1.04426i | ||||
\(880\) | −5.57257e8 | − | 5.33633e8i | −0.817725 | − | 0.783059i | ||||
\(881\) | −2.68274e8 | −0.392330 | −0.196165 | − | 0.980571i | \(-0.562849\pi\) | ||||
−0.196165 | + | 0.980571i | \(0.562849\pi\) | |||||||
\(882\) | 7.69405e7 | + | 1.12570e8i | 0.112137 | + | 0.164065i | ||||
\(883\) | 3.81495e8 | 0.554124 | 0.277062 | − | 0.960852i | \(-0.410639\pi\) | ||||
0.277062 | + | 0.960852i | \(0.410639\pi\) | |||||||
\(884\) | 1.05718e9 | + | 7.93170e8i | 1.53036 | + | 1.14818i | ||||
\(885\) | 1.82808e9 | + | 3.58785e8i | 2.63734 | + | 0.517613i | ||||
\(886\) | −6.15387e8 | + | 3.07627e8i | −0.884804 | + | 0.442307i | ||||
\(887\) | −1.06726e9 | + | 6.16182e8i | −1.52932 | + | 0.882954i | −0.529930 | + | 0.848041i | \(0.677782\pi\) |
−0.999390 | + | 0.0349124i | \(0.988885\pi\) | |||||||
\(888\) | 5.06928e8 | − | 7.64531e7i | 0.723948 | − | 0.109183i | ||||
\(889\) | 4.17199e8 | − | 7.22609e8i | 0.593796 | − | 1.02849i | ||||
\(890\) | −6.71656e8 | − | 4.03726e7i | −0.952746 | − | 0.0572686i | ||||
\(891\) | 3.61517e8 | + | 3.54217e8i | 0.511087 | + | 0.500768i | ||||
\(892\) | −1.08916e8 | + | 9.02711e8i | −0.153460 | + | 1.27190i | ||||
\(893\) | 2.41953e8 | + | 1.39691e8i | 0.339763 | + | 0.196162i | ||||
\(894\) | −2.80852e8 | + | 7.76560e7i | −0.393065 | + | 0.108683i | ||||
\(895\) | −1.41197e9 | + | 8.15201e8i | −1.96950 | + | 1.13709i | ||||
\(896\) | −6.64225e7 | − | 6.40459e8i | −0.0923402 | − | 0.890364i | ||||
\(897\) | −1.34862e8 | + | 6.87147e8i | −0.186858 | + | 0.952078i | ||||
\(898\) | 6.64146e8 | + | 4.38587e8i | 0.917138 | + | 0.605657i | ||||
\(899\) | −1.14145e9 | −1.57101 | ||||||||
\(900\) | 9.40502e8 | − | 5.63156e8i | 1.29013 | − | 0.772505i | ||||
\(901\) | 1.18161e9i | 1.61547i | ||||||||
\(902\) | −3.17934e8 | − | 2.09956e8i | −0.433229 | − | 0.286094i | ||||
\(903\) | −5.39181e8 | + | 6.17990e8i | −0.732271 | + | 0.839301i | ||||
\(904\) | 4.72448e8 | − | 1.68979e8i | 0.639512 | − | 0.228732i | ||||
\(905\) | −9.59233e8 | − | 1.66144e9i | −1.29413 | − | 2.24150i | ||||
\(906\) | −2.49614e8 | − | 2.45670e8i | −0.335648 | − | 0.330345i | ||||
\(907\) | 2.03038e8 | − | 3.51672e8i | 0.272117 | − | 0.471320i | −0.697287 | − | 0.716792i | \(-0.745610\pi\) |
0.969404 | + | 0.245472i | \(0.0789429\pi\) | |||||||
\(908\) | 7.30744e8 | + | 8.81672e7i | 0.976131 | + | 0.117774i | ||||
\(909\) | 4.97968e8 | − | 6.81437e7i | 0.662995 | − | 0.0907264i | ||||
\(910\) | 1.24270e9 | + | 7.46974e7i | 1.64908 | + | 0.0991246i | ||||
\(911\) | −5.04498e8 | − | 2.91272e8i | −0.667274 | − | 0.385251i | 0.127769 | − | 0.991804i | \(-0.459218\pi\) |
−0.795043 | + | 0.606553i | \(0.792552\pi\) | |||||||
\(912\) | 2.60279e8 | − | 5.61663e8i | 0.343126 | − | 0.740443i | ||||
\(913\) | −6.12490e6 | − | 1.06086e7i | −0.00804797 | − | 0.0139395i | ||||
\(914\) | −3.31364e8 | + | 1.65647e8i | −0.433977 | + | 0.216942i | ||||
\(915\) | −7.90895e7 | + | 2.70723e7i | −0.103242 | + | 0.0353397i | ||||
\(916\) | −5.52736e8 | − | 4.14700e8i | −0.719169 | − | 0.539569i | ||||
\(917\) | − | 1.28394e9i | − | 1.66508i | ||||||
\(918\) | −1.16592e9 | + | 5.00879e8i | −1.50709 | + | 0.647448i | ||||
\(919\) | − | 2.58453e8i | − | 0.332992i | −0.986042 | − | 0.166496i | \(-0.946755\pi\) | ||
0.986042 | − | 0.166496i | \(-0.0532454\pi\) | |||||||
\(920\) | 7.81458e8 | + | 6.63183e8i | 1.00356 | + | 0.851667i | ||||
\(921\) | −8.33362e8 | + | 2.85260e8i | −1.06673 | + | 0.365142i | ||||
\(922\) | 8.28392e7 | + | 1.65714e8i | 0.105692 | + | 0.211430i | ||||
\(923\) | 5.80352e8 | + | 1.00520e9i | 0.738050 | + | 1.27834i | ||||
\(924\) | 4.80595e8 | + | 1.56003e8i | 0.609205 | + | 0.197750i | ||||
\(925\) | 7.54598e8 | + | 4.35667e8i | 0.953434 | + | 0.550465i | ||||
\(926\) | 6.95617e8 | + | 4.18128e7i | 0.876066 | + | 0.0526595i | ||||
\(927\) | −1.66779e6 | + | 4.08519e6i | −0.00209364 | + | 0.00512830i | ||||
\(928\) | −1.25594e9 | − | 3.88762e8i | −1.57154 | − | 0.486451i | ||||
\(929\) | −2.67285e8 | + | 4.62952e8i | −0.333371 | + | 0.577416i | −0.983171 | − | 0.182690i | \(-0.941520\pi\) |
0.649799 | + | 0.760106i | \(0.274853\pi\) | |||||||
\(930\) | −8.52563e8 | + | 8.66249e8i | −1.05993 | + | 1.07695i | ||||
\(931\) | 6.54347e7 | + | 1.13336e8i | 0.0810885 | + | 0.140449i | ||||
\(932\) | 4.39198e8 | + | 1.02867e9i | 0.542516 | + | 1.27066i | ||||
\(933\) | 1.40976e8 | − | 1.61582e8i | 0.173580 | − | 0.198952i | ||||
\(934\) | 2.58187e8 | + | 1.70501e8i | 0.316880 | + | 0.209260i | ||||
\(935\) | 1.51800e9i | 1.85711i | ||||||||
\(936\) | −8.06427e8 | − | 5.14294e8i | −0.983417 | − | 0.627167i | ||||
\(937\) | −4.53409e8 | −0.551152 | −0.275576 | − | 0.961279i | \(-0.588869\pi\) | ||||
−0.275576 | + | 0.961279i | \(0.588869\pi\) | |||||||
\(938\) | 4.45439e8 | − | 6.74522e8i | 0.539733 | − | 0.817311i | ||||
\(939\) | −1.02105e8 | + | 5.20245e8i | −0.123325 | + | 0.628364i | ||||
\(940\) | −2.48089e8 | − | 5.81067e8i | −0.298693 | − | 0.699588i | ||||
\(941\) | −7.67813e8 | + | 4.43297e8i | −0.921481 | + | 0.532017i | −0.884107 | − | 0.467284i | \(-0.845233\pi\) |
−0.0373737 | + | 0.999301i | \(0.511899\pi\) | |||||||
\(942\) | 5.66429e8 | − | 1.56619e8i | 0.677630 | − | 0.187366i | ||||
\(943\) | 4.38316e8 | + | 2.53062e8i | 0.522700 | + | 0.301781i | ||||
\(944\) | −1.38788e9 | − | 3.39853e8i | −1.64981 | − | 0.403994i | ||||
\(945\) | −6.56456e8 | + | 9.98911e8i | −0.777876 | + | 1.18367i | ||||
\(946\) | 4.52262e7 | − | 7.52402e8i | 0.0534215 | − | 0.888744i | ||||
\(947\) | −1.30828e7 | + | 2.26601e7i | −0.0154047 | + | 0.0266816i | −0.873625 | − | 0.486600i | \(-0.838237\pi\) |
0.858220 | + | 0.513281i | \(0.171570\pi\) | |||||||
\(948\) | −5.00656e7 | − | 2.35210e8i | −0.0587645 | − | 0.276077i | ||||
\(949\) | 7.79428e8 | − | 4.50003e8i | 0.911963 | − | 0.526522i | ||||
\(950\) | 9.41103e8 | − | 4.70451e8i | 1.09766 | − | 0.548711i | ||||
\(951\) | 9.41949e8 | + | 1.84870e8i | 1.09518 | + | 0.214944i | ||||
\(952\) | −8.19705e8 | + | 9.65894e8i | −0.950050 | + | 1.11949i | ||||
\(953\) | 6.67253e8 | 0.770925 | 0.385462 | − | 0.922724i | \(-0.374042\pi\) | ||||
0.385462 | + | 0.922724i | \(0.374042\pi\) | |||||||
\(954\) | −6.48939e7 | − | 8.52651e8i | −0.0747409 | − | 0.982034i | ||||
\(955\) | 9.35614e7 | 0.107420 | ||||||||
\(956\) | −5.71332e8 | − | 4.28652e8i | −0.653905 | − | 0.490604i | ||||
\(957\) | 6.78271e8 | − | 7.77410e8i | 0.773869 | − | 0.886981i | ||||
\(958\) | 4.02947e8 | + | 8.06066e8i | 0.458301 | + | 0.916799i | ||||
\(959\) | 1.28849e9 | − | 7.43910e8i | 1.46092 | − | 0.843461i | ||||
\(960\) | −1.23311e9 | + | 6.62765e8i | −1.39376 | + | 0.749111i | ||||
\(961\) | −3.90732e7 | + | 6.76768e7i | −0.0440260 | + | 0.0762552i | ||||
\(962\) | 4.56157e7 | − | 7.58882e8i | 0.0512376 | − | 0.852411i | ||||
\(963\) | 3.08742e8 | − | 2.39417e8i | 0.345714 | − | 0.268087i | ||||
\(964\) | −3.89458e8 | − | 4.69896e7i | −0.434740 | − | 0.0524531i | ||||
\(965\) | −6.95933e8 | − | 4.01797e8i | −0.774436 | − | 0.447121i | ||||
\(966\) | −6.49705e8 | − | 1.68555e8i | −0.720750 | − | 0.186986i | ||||
\(967\) | −1.20372e9 | + | 6.94967e8i | −1.33121 | + | 0.768572i | −0.985485 | − | 0.169765i | \(-0.945699\pi\) |
−0.345721 | + | 0.938337i | \(0.612366\pi\) | |||||||
\(968\) | 4.16797e8 | − | 1.49074e8i | 0.459513 | − | 0.164353i | ||||
\(969\) | −1.15230e9 | + | 3.94431e8i | −1.26646 | + | 0.433511i | ||||
\(970\) | 7.30108e8 | − | 1.10559e9i | 0.799966 | − | 1.21138i | ||||
\(971\) | −1.34516e8 | −0.146932 | −0.0734659 | − | 0.997298i | \(-0.523406\pi\) | ||||
−0.0734659 | + | 0.997298i | \(0.523406\pi\) | |||||||
\(972\) | 8.13822e8 | − | 4.25468e8i | 0.886198 | − | 0.463306i | ||||
\(973\) | − | 4.15505e7i | − | 0.0451064i | ||||||
\(974\) | 9.38425e8 | − | 1.42104e9i | 1.01560 | − | 1.53791i | ||||
\(975\) | −5.26467e8 | − | 1.53803e9i | −0.568011 | − | 1.65940i | ||||
\(976\) | 6.15582e7 | − | 1.79316e7i | 0.0662120 | − | 0.0192872i | ||||
\(977\) | 2.57064e8 | + | 4.45248e8i | 0.275650 | + | 0.477439i | 0.970299 | − | 0.241909i | \(-0.0777737\pi\) |
−0.694649 | + | 0.719349i | \(0.744440\pi\) | |||||||
\(978\) | −3.59310e8 | − | 9.32169e7i | −0.384108 | − | 0.0996502i | ||||
\(979\) | −2.02494e8 | + | 3.50729e8i | −0.215806 | + | 0.373787i | ||||
\(980\) | 3.54511e7 | − | 2.93825e8i | 0.0376662 | − | 0.312183i | ||||
\(981\) | −7.35962e6 | − | 9.49065e6i | −0.00779558 | − | 0.0100528i | ||||
\(982\) | 3.76431e7 | − | 6.26247e8i | 0.0397513 | − | 0.661320i | ||||
\(983\) | 1.07148e8 | + | 6.18618e7i | 0.112804 | + | 0.0651272i | 0.555340 | − | 0.831623i | \(-0.312588\pi\) |
−0.442537 | + | 0.896750i | \(0.645921\pi\) | |||||||
\(984\) | −5.40444e8 | + | 4.31068e8i | −0.567238 | + | 0.452440i | ||||
\(985\) | −6.00766e7 | − | 1.04056e8i | −0.0628633 | − | 0.108882i | ||||
\(986\) | 1.15660e9 | + | 2.31370e9i | 1.20657 | + | 2.41366i | ||||
\(987\) | 3.11779e8 | + | 2.72020e8i | 0.324262 | + | 0.282911i | ||||
\(988\) | −7.34311e8 | − | 5.50930e8i | −0.761394 | − | 0.571249i | ||||
\(989\) | 1.00129e9i | 1.03508i | ||||||||
\(990\) | −8.33687e7 | − | 1.09540e9i | −0.0859206 | − | 1.12893i | ||||
\(991\) | − | 1.43046e9i | − | 1.46979i | −0.678183 | − | 0.734893i | \(-0.737232\pi\) | ||
0.678183 | − | 0.734893i | \(-0.262768\pi\) | |||||||
\(992\) | 6.83992e8 | − | 6.33400e8i | 0.700674 | − | 0.648848i | ||||
\(993\) | 1.32115e8 | − | 6.73153e8i | 0.134929 | − | 0.687489i | ||||
\(994\) | −9.95149e8 | + | 4.97468e8i | −1.01328 | + | 0.506531i | ||||
\(995\) | −7.40311e8 | − | 1.28226e9i | −0.751528 | − | 1.30168i | ||||
\(996\) | −2.17393e7 | + | 4.62733e6i | −0.0220023 | + | 0.00468330i | ||||
\(997\) | −4.98265e8 | − | 2.87674e8i | −0.502777 | − | 0.290278i | 0.227083 | − | 0.973875i | \(-0.427081\pi\) |
−0.729860 | + | 0.683597i | \(0.760415\pi\) | |||||||
\(998\) | −9.79478e7 | + | 1.62950e9i | −0.0985379 | + | 1.63932i | ||||
\(999\) | 6.10008e8 | + | 4.00880e8i | 0.611841 | + | 0.402085i |
(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 | 72.7.p.b.43.14 | ✓ | 136 | |
8.3 | odd | 2 | inner | 72.7.p.b.43.60 | yes | 136 | |
9.4 | even | 3 | inner | 72.7.p.b.67.60 | yes | 136 | |
72.67 | odd | 6 | inner | 72.7.p.b.67.14 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.7.p.b.43.14 | ✓ | 136 | 1.1 | even | 1 | trivial | |
72.7.p.b.43.60 | yes | 136 | 8.3 | odd | 2 | inner | |
72.7.p.b.67.14 | yes | 136 | 72.67 | odd | 6 | inner | |
72.7.p.b.67.60 | yes | 136 | 9.4 | even | 3 | inner |