Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,7,Mod(2,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([9]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.2");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.f (of order \(14\), degree \(6\), 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: | \(9.89232559565\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(21\) over \(\Q(\zeta_{14})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{14}]$ |
Embedding invariants
Embedding label | 2.5 | ||
Character | \(\chi\) | \(=\) | 43.2 |
Dual form | 43.7.f.a.22.5 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{9}{14}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −4.79242 | − | 9.95156i | −0.599052 | − | 1.24395i | −0.951366 | − | 0.308063i | \(-0.900319\pi\) |
0.352313 | − | 0.935882i | \(-0.385395\pi\) | |||||||
\(3\) | −6.97408 | + | 14.4818i | −0.258299 | + | 0.536364i | −0.989279 | − | 0.146035i | \(-0.953349\pi\) |
0.730980 | + | 0.682399i | \(0.239063\pi\) | |||||||
\(4\) | −36.1629 | + | 45.3469i | −0.565046 | + | 0.708545i | ||||
\(5\) | 117.045 | + | 26.7147i | 0.936360 | + | 0.213718i | 0.663364 | − | 0.748297i | \(-0.269128\pi\) |
0.272996 | + | 0.962015i | \(0.411985\pi\) | |||||||
\(6\) | 177.540 | 0.821943 | ||||||||
\(7\) | − | 466.480i | − | 1.36000i | −0.733212 | − | 0.680000i | \(-0.761980\pi\) | ||
0.733212 | − | 0.680000i | \(-0.238020\pi\) | |||||||
\(8\) | −64.6015 | − | 14.7449i | −0.126175 | − | 0.0287986i | ||||
\(9\) | 293.438 | + | 367.960i | 0.402522 | + | 0.504746i | ||||
\(10\) | −295.075 | − | 1292.81i | −0.295075 | − | 1.29281i | ||||
\(11\) | −1084.84 | − | 1360.35i | −0.815059 | − | 1.02205i | −0.999233 | − | 0.0391576i | \(-0.987533\pi\) |
0.184174 | − | 0.982894i | \(-0.441039\pi\) | |||||||
\(12\) | −404.503 | − | 839.959i | −0.234087 | − | 0.486087i | ||||
\(13\) | 211.677 | − | 927.416i | 0.0963481 | − | 0.422129i | −0.903633 | − | 0.428308i | \(-0.859110\pi\) |
0.999981 | + | 0.00617944i | \(0.00196699\pi\) | |||||||
\(14\) | −4642.21 | + | 2235.57i | −1.69177 | + | 0.814712i | ||||
\(15\) | −1203.16 | + | 1508.71i | −0.356492 | + | 0.447027i | ||||
\(16\) | 988.873 | + | 4332.54i | 0.241424 | + | 1.05775i | ||||
\(17\) | 1085.44 | + | 4755.64i | 0.220933 | + | 0.967970i | 0.956778 | + | 0.290820i | \(0.0939281\pi\) |
−0.735845 | + | 0.677150i | \(0.763215\pi\) | |||||||
\(18\) | 2255.50 | − | 4683.59i | 0.386745 | − | 0.803085i | ||||
\(19\) | −9694.59 | − | 7731.18i | −1.41341 | − | 1.12716i | −0.973386 | − | 0.229173i | \(-0.926398\pi\) |
−0.440026 | − | 0.897985i | \(-0.645031\pi\) | |||||||
\(20\) | −5444.12 | + | 4341.54i | −0.680515 | + | 0.542693i | ||||
\(21\) | 6755.49 | + | 3253.27i | 0.729456 | + | 0.351287i | ||||
\(22\) | −8338.59 | + | 17315.3i | −0.783113 | + | 1.62615i | ||||
\(23\) | −6838.48 | − | 8575.18i | −0.562052 | − | 0.704790i | 0.416884 | − | 0.908960i | \(-0.363122\pi\) |
−0.978936 | + | 0.204169i | \(0.934551\pi\) | |||||||
\(24\) | 664.069 | − | 832.716i | 0.0480374 | − | 0.0602370i | ||||
\(25\) | −1091.80 | − | 525.782i | −0.0698751 | − | 0.0336501i | ||||
\(26\) | −10243.7 | + | 2338.05i | −0.582822 | + | 0.133025i | ||||
\(27\) | −18799.1 | + | 4290.77i | −0.955093 | + | 0.217994i | ||||
\(28\) | 21153.4 | + | 16869.3i | 0.963622 | + | 0.768463i | ||||
\(29\) | −17403.5 | − | 36138.8i | −0.713582 | − | 1.48177i | −0.869466 | − | 0.493992i | \(-0.835537\pi\) |
0.155885 | − | 0.987775i | \(-0.450177\pi\) | |||||||
\(30\) | 20780.1 | + | 4742.93i | 0.769634 | + | 0.175664i | ||||
\(31\) | 14896.9 | − | 7173.99i | 0.500048 | − | 0.240811i | −0.166818 | − | 0.985988i | \(-0.553349\pi\) |
0.666867 | + | 0.745177i | \(0.267635\pi\) | |||||||
\(32\) | 35060.8 | − | 27960.1i | 1.06997 | − | 0.853273i | ||||
\(33\) | 27266.2 | − | 6223.32i | 0.758721 | − | 0.173173i | ||||
\(34\) | 42124.1 | − | 33592.9i | 1.07175 | − | 0.854693i | ||||
\(35\) | 12461.9 | − | 54599.2i | 0.290657 | − | 1.27345i | ||||
\(36\) | −27297.4 | −0.585079 | ||||||||
\(37\) | 30453.6i | 0.601219i | 0.953747 | + | 0.300610i | \(0.0971901\pi\) | ||||
−0.953747 | + | 0.300610i | \(0.902810\pi\) | |||||||
\(38\) | −30476.7 | + | 133527.i | −0.555415 | + | 2.43343i | ||||
\(39\) | 11954.4 | + | 9533.35i | 0.201528 | + | 0.160713i | ||||
\(40\) | −7167.37 | − | 3451.62i | −0.111990 | − | 0.0539316i | ||||
\(41\) | 108345. | − | 52176.4i | 1.57202 | − | 0.757047i | 0.573939 | − | 0.818898i | \(-0.305415\pi\) |
0.998085 | + | 0.0618511i | \(0.0197004\pi\) | |||||||
\(42\) | − | 82818.7i | − | 1.11784i | ||||||
\(43\) | −66487.8 | + | 43597.4i | −0.836251 | + | 0.548347i | ||||
\(44\) | 100919. | 1.18472 | ||||||||
\(45\) | 24515.5 | + | 50907.0i | 0.269032 | + | 0.558650i | ||||
\(46\) | −52563.6 | + | 109149.i | −0.540022 | + | 1.12137i | ||||
\(47\) | 46855.2 | − | 58754.5i | 0.451299 | − | 0.565911i | −0.503183 | − | 0.864180i | \(-0.667838\pi\) |
0.954482 | + | 0.298269i | \(0.0964093\pi\) | |||||||
\(48\) | −69639.6 | − | 15894.8i | −0.629698 | − | 0.143724i | ||||
\(49\) | −99954.8 | −0.849602 | ||||||||
\(50\) | 13384.9i | 0.107079i | ||||||||
\(51\) | −76440.3 | − | 17447.0i | −0.576252 | − | 0.131526i | ||||
\(52\) | 34400.6 | + | 43137.0i | 0.244656 | + | 0.306789i | ||||
\(53\) | 32796.4 | + | 143690.i | 0.220292 | + | 0.965162i | 0.957259 | + | 0.289233i | \(0.0934003\pi\) |
−0.736967 | + | 0.675929i | \(0.763743\pi\) | |||||||
\(54\) | 132793. | + | 166517.i | 0.843323 | + | 1.05749i | ||||
\(55\) | −90634.0 | − | 188203.i | −0.544757 | − | 1.13120i | ||||
\(56\) | −6878.19 | + | 30135.3i | −0.0391661 | + | 0.171598i | ||||
\(57\) | 179573. | − | 86477.6i | 0.969651 | − | 0.466959i | ||||
\(58\) | −276233. | + | 346385.i | −1.41576 | + | 1.77531i | ||||
\(59\) | −19083.1 | − | 83608.5i | −0.0929164 | − | 0.407094i | 0.906985 | − | 0.421164i | \(-0.138378\pi\) |
−0.999901 | + | 0.0140703i | \(0.995521\pi\) | |||||||
\(60\) | −24905.7 | − | 109119.i | −0.115304 | − | 0.505181i | ||||
\(61\) | 45072.3 | − | 93593.6i | 0.198573 | − | 0.412341i | −0.777776 | − | 0.628542i | \(-0.783652\pi\) |
0.976349 | + | 0.216201i | \(0.0693665\pi\) | |||||||
\(62\) | −142785. | − | 113867.i | −0.599110 | − | 0.477774i | ||||
\(63\) | 171646. | − | 136883.i | 0.686455 | − | 0.547430i | ||||
\(64\) | −190025. | − | 91511.1i | −0.724887 | − | 0.349087i | ||||
\(65\) | 49551.4 | − | 102895.i | 0.180433 | − | 0.374673i | ||||
\(66\) | −192603. | − | 241516.i | −0.669931 | − | 0.840067i | ||||
\(67\) | 96851.3 | − | 121448.i | 0.322019 | − | 0.403798i | −0.594303 | − | 0.804241i | \(-0.702572\pi\) |
0.916322 | + | 0.400442i | \(0.131144\pi\) | |||||||
\(68\) | −254906. | − | 122756.i | −0.810688 | − | 0.390407i | ||||
\(69\) | 171877. | − | 39229.7i | 0.523202 | − | 0.119417i | ||||
\(70\) | −603070. | + | 137647.i | −1.75822 | + | 0.401302i | ||||
\(71\) | 413448. | + | 329714.i | 1.15517 | + | 0.921218i | 0.997798 | − | 0.0663212i | \(-0.0211262\pi\) |
0.157373 | + | 0.987539i | \(0.449698\pi\) | |||||||
\(72\) | −13531.0 | − | 28097.5i | −0.0362521 | − | 0.0752783i | ||||
\(73\) | −444210. | − | 101388.i | −1.14188 | − | 0.260626i | −0.390567 | − | 0.920574i | \(-0.627721\pi\) |
−0.751311 | + | 0.659948i | \(0.770578\pi\) | |||||||
\(74\) | 303060. | − | 145946.i | 0.747884 | − | 0.360162i | ||||
\(75\) | 15228.6 | − | 12144.4i | 0.0360974 | − | 0.0287867i | ||||
\(76\) | 701170. | − | 160037.i | 1.59729 | − | 0.364570i | ||||
\(77\) | −634576. | + | 506058.i | −1.38999 | + | 1.10848i | ||||
\(78\) | 37581.0 | − | 164653.i | 0.0791926 | − | 0.346965i | ||||
\(79\) | 267187. | 0.541919 | 0.270960 | − | 0.962591i | \(-0.412659\pi\) | ||||
0.270960 | + | 0.962591i | \(0.412659\pi\) | |||||||
\(80\) | 533519.i | 1.04203i | ||||||||
\(81\) | −7377.72 | + | 32323.9i | −0.0138825 | + | 0.0608232i | ||||
\(82\) | −1.03847e6 | − | 828155.i | −1.88345 | − | 1.50200i | ||||
\(83\) | 707833. | + | 340875.i | 1.23793 | + | 0.596157i | 0.934251 | − | 0.356617i | \(-0.116070\pi\) |
0.303681 | + | 0.952774i | \(0.401784\pi\) | |||||||
\(84\) | −391824. | + | 188693.i | −0.661079 | + | 0.318359i | ||||
\(85\) | 585621.i | 0.953586i | ||||||||
\(86\) | 752500. | + | 452720.i | 1.18307 | + | 0.711762i | ||||
\(87\) | 644730. | 0.979085 | ||||||||
\(88\) | 50024.3 | + | 103877.i | 0.0734062 | + | 0.152430i | ||||
\(89\) | −265904. | + | 552155.i | −0.377185 | + | 0.783233i | 0.622814 | + | 0.782370i | \(0.285989\pi\) |
−1.00000 | 0.000863685i | \(0.999725\pi\) | ||||||||
\(90\) | 389115. | − | 487935.i | 0.533766 | − | 0.669321i | ||||
\(91\) | −432621. | − | 98743.0i | −0.574095 | − | 0.131033i | ||||
\(92\) | 636158. | 0.816961 | ||||||||
\(93\) | 265767.i | 0.330409i | ||||||||
\(94\) | −809249. | − | 184706.i | −0.974313 | − | 0.222381i | ||||
\(95\) | −928166. | − | 1.16388e6i | −1.08257 | − | 1.35750i | ||||
\(96\) | 160396. | + | 702740.i | 0.181292 | + | 0.794294i | ||||
\(97\) | −322686. | − | 404636.i | −0.353562 | − | 0.443353i | 0.572966 | − | 0.819579i | \(-0.305793\pi\) |
−0.926528 | + | 0.376227i | \(0.877221\pi\) | |||||||
\(98\) | 479026. | + | 994707.i | 0.508956 | + | 1.05686i | ||||
\(99\) | 182220. | − | 798358.i | 0.187798 | − | 0.822796i | ||||
\(100\) | 63325.3 | − | 30495.8i | 0.0633253 | − | 0.0304958i | ||||
\(101\) | 935541. | − | 1.17313e6i | 0.908027 | − | 1.13863i | −0.0818416 | − | 0.996645i | \(-0.526080\pi\) |
0.989869 | − | 0.141985i | \(-0.0453484\pi\) | |||||||
\(102\) | 192709. | + | 844314.i | 0.181594 | + | 0.795616i | ||||
\(103\) | 182854. | + | 801134.i | 0.167337 | + | 0.733151i | 0.987055 | + | 0.160383i | \(0.0512731\pi\) |
−0.819718 | + | 0.572768i | \(0.805870\pi\) | |||||||
\(104\) | −27349.3 | + | 56791.3i | −0.0243134 | + | 0.0504873i | ||||
\(105\) | 703786. | + | 561250.i | 0.607956 | + | 0.484829i | ||||
\(106\) | 1.27277e6 | − | 1.01500e6i | 1.06864 | − | 0.852214i | ||||
\(107\) | −150510. | − | 72481.8i | −0.122861 | − | 0.0591668i | 0.371443 | − | 0.928456i | \(-0.378863\pi\) |
−0.494305 | + | 0.869289i | \(0.664577\pi\) | |||||||
\(108\) | 485257. | − | 1.00765e6i | 0.385213 | − | 0.799903i | ||||
\(109\) | −343364. | − | 430565.i | −0.265140 | − | 0.332475i | 0.631384 | − | 0.775470i | \(-0.282487\pi\) |
−0.896524 | + | 0.442996i | \(0.853916\pi\) | |||||||
\(110\) | −1.43856e6 | + | 1.80390e6i | −1.08081 | + | 1.35530i | ||||
\(111\) | −441023. | − | 212386.i | −0.322473 | − | 0.155295i | ||||
\(112\) | 2.02104e6 | − | 461290.i | 1.43854 | − | 0.328337i | ||||
\(113\) | 1.33990e6 | − | 305822.i | 0.928615 | − | 0.211950i | 0.268642 | − | 0.963240i | \(-0.413425\pi\) |
0.659972 | + | 0.751290i | \(0.270568\pi\) | |||||||
\(114\) | −1.72117e6 | − | 1.37259e6i | −1.16174 | − | 0.926459i | ||||
\(115\) | −571326. | − | 1.18637e6i | −0.375656 | − | 0.780058i | ||||
\(116\) | 2.26815e6 | + | 517690.i | 1.45311 | + | 0.331662i | ||||
\(117\) | 403366. | − | 194251.i | 0.251850 | − | 0.121285i | ||||
\(118\) | −740581. | + | 590593.i | −0.450740 | + | 0.359453i | ||||
\(119\) | 2.21841e6 | − | 506338.i | 1.31644 | − | 0.300469i | ||||
\(120\) | 99971.7 | − | 79724.8i | 0.0578540 | − | 0.0461370i | ||||
\(121\) | −279459. | + | 1.22439e6i | −0.157747 | + | 0.691135i | ||||
\(122\) | −1.14741e6 | −0.631885 | ||||||||
\(123\) | 1.93292e6i | 1.03872i | ||||||||
\(124\) | −213399. | + | 934962.i | −0.111925 | + | 0.490376i | ||||
\(125\) | −1.58035e6 | − | 1.26029e6i | −0.809139 | − | 0.645267i | ||||
\(126\) | −2.18480e6 | − | 1.05215e6i | −1.09220 | − | 0.525974i | ||||
\(127\) | 470905. | − | 226776.i | 0.229891 | − | 0.110710i | −0.315393 | − | 0.948961i | \(-0.602136\pi\) |
0.545284 | + | 0.838252i | \(0.316422\pi\) | |||||||
\(128\) | − | 540440.i | − | 0.257702i | ||||||
\(129\) | −167679. | − | 1.26692e6i | −0.0781106 | − | 0.590173i | ||||
\(130\) | −1.26143e6 | −0.574161 | ||||||||
\(131\) | −352252. | − | 731460.i | −0.156690 | − | 0.325369i | 0.807815 | − | 0.589437i | \(-0.200650\pi\) |
−0.964504 | + | 0.264067i | \(0.914936\pi\) | |||||||
\(132\) | −703816. | + | 1.46149e6i | −0.306011 | + | 0.635439i | ||||
\(133\) | −3.60644e6 | + | 4.52233e6i | −1.53294 | + | 1.92224i | ||||
\(134\) | −1.67275e6 | − | 381793.i | −0.695209 | − | 0.158677i | ||||
\(135\) | −2.31496e6 | −0.940899 | ||||||||
\(136\) | − | 323226.i | − | 0.128496i | ||||||
\(137\) | 350593. | + | 80020.5i | 0.136346 | + | 0.0311200i | 0.290149 | − | 0.956981i | \(-0.406295\pi\) |
−0.153803 | + | 0.988101i | \(0.549152\pi\) | |||||||
\(138\) | −1.21410e6 | − | 1.52244e6i | −0.461974 | − | 0.579297i | ||||
\(139\) | −43987.3 | − | 192721.i | −0.0163788 | − | 0.0717603i | 0.966078 | − | 0.258250i | \(-0.0831459\pi\) |
−0.982457 | + | 0.186490i | \(0.940289\pi\) | |||||||
\(140\) | 2.02524e6 | + | 2.53957e6i | 0.738062 | + | 0.925501i | ||||
\(141\) | 524102. | + | 1.08831e6i | 0.186964 | + | 0.388235i | ||||
\(142\) | 1.29975e6 | − | 5.69459e6i | 0.453937 | − | 1.98883i | ||||
\(143\) | −1.49125e6 | + | 718147.i | −0.509966 | + | 0.245587i | ||||
\(144\) | −1.30403e6 | + | 1.63520e6i | −0.436716 | + | 0.547624i | ||||
\(145\) | −1.07156e6 | − | 4.69480e6i | −0.351489 | − | 1.53997i | ||||
\(146\) | 1.11987e6 | + | 4.90648e6i | 0.359840 | + | 1.57656i | ||||
\(147\) | 697093. | − | 1.44753e6i | 0.219452 | − | 0.455696i | ||||
\(148\) | −1.38097e6 | − | 1.10129e6i | −0.425991 | − | 0.339717i | ||||
\(149\) | 2.24736e6 | − | 1.79221e6i | 0.679382 | − | 0.541789i | −0.221874 | − | 0.975075i | \(-0.571217\pi\) |
0.901257 | + | 0.433286i | \(0.142646\pi\) | |||||||
\(150\) | −193837. | − | 93347.2i | −0.0574333 | − | 0.0276584i | ||||
\(151\) | −2.76551e6 | + | 5.74264e6i | −0.803238 | + | 1.66794i | −0.0606804 | + | 0.998157i | \(0.519327\pi\) |
−0.742557 | + | 0.669783i | \(0.766387\pi\) | |||||||
\(152\) | 512290. | + | 642391.i | 0.145876 | + | 0.182923i | ||||
\(153\) | −1.43137e6 | + | 1.79489e6i | −0.399649 | + | 0.501144i | ||||
\(154\) | 8.07722e6 | + | 3.88979e6i | 2.21157 | + | 1.06503i | ||||
\(155\) | 1.93526e6 | − | 441711.i | 0.519690 | − | 0.118616i | ||||
\(156\) | −864616. | + | 197343.i | −0.227745 | + | 0.0519814i | ||||
\(157\) | −909102. | − | 724985.i | −0.234917 | − | 0.187340i | 0.498955 | − | 0.866628i | \(-0.333717\pi\) |
−0.733872 | + | 0.679288i | \(0.762289\pi\) | |||||||
\(158\) | −1.28047e6 | − | 2.65893e6i | −0.324638 | − | 0.674118i | ||||
\(159\) | −2.30963e6 | − | 527157.i | −0.574580 | − | 0.131144i | ||||
\(160\) | 4.85063e6 | − | 2.33594e6i | 1.18424 | − | 0.570298i | ||||
\(161\) | −4.00015e6 | + | 3.19002e6i | −0.958515 | + | 0.764391i | ||||
\(162\) | 357031. | − | 81489.9i | 0.0839770 | − | 0.0191672i | ||||
\(163\) | 351947. | − | 280668.i | 0.0812670 | − | 0.0648083i | −0.582014 | − | 0.813179i | \(-0.697735\pi\) |
0.663281 | + | 0.748371i | \(0.269164\pi\) | |||||||
\(164\) | −1.55205e6 | + | 6.79999e6i | −0.351864 | + | 1.54162i | ||||
\(165\) | 3.35762e6 | 0.747446 | ||||||||
\(166\) | − | 8.67766e6i | − | 1.89705i | ||||||
\(167\) | −1.14880e6 | + | 5.03322e6i | −0.246658 | + | 1.08068i | 0.688163 | + | 0.725557i | \(0.258418\pi\) |
−0.934820 | + | 0.355121i | \(0.884440\pi\) | |||||||
\(168\) | −388446. | − | 309775.i | −0.0819224 | − | 0.0653309i | ||||
\(169\) | 3.53351e6 | + | 1.70165e6i | 0.732059 | + | 0.352541i | ||||
\(170\) | 5.82784e6 | − | 2.80654e6i | 1.18621 | − | 0.571248i | ||||
\(171\) | − | 5.83585e6i | − | 1.16712i | ||||||
\(172\) | 427387. | − | 4.59163e6i | 0.0839916 | − | 0.902363i | ||||
\(173\) | 332436. | 0.0642052 | 0.0321026 | − | 0.999485i | \(-0.489780\pi\) | ||||
0.0321026 | + | 0.999485i | \(0.489780\pi\) | |||||||
\(174\) | −3.08982e6 | − | 6.41607e6i | −0.586523 | − | 1.21793i | ||||
\(175\) | −245267. | + | 509302.i | −0.0457641 | + | 0.0950302i | ||||
\(176\) | 4.82099e6 | − | 6.04533e6i | 0.884298 | − | 1.10887i | ||||
\(177\) | 1.34389e6 | + | 306734.i | 0.242351 | + | 0.0553150i | ||||
\(178\) | 6.76913e6 | 1.20025 | ||||||||
\(179\) | − | 1.00560e7i | − | 1.75334i | −0.481091 | − | 0.876671i | \(-0.659759\pi\) | ||
0.481091 | − | 0.876671i | \(-0.340241\pi\) | |||||||
\(180\) | −3.19503e6 | − | 729244.i | −0.547844 | − | 0.125042i | ||||
\(181\) | 1.44998e6 | + | 1.81822e6i | 0.244527 | + | 0.306627i | 0.888915 | − | 0.458071i | \(-0.151460\pi\) |
−0.644389 | + | 0.764698i | \(0.722888\pi\) | |||||||
\(182\) | 1.09066e6 | + | 4.77848e6i | 0.180915 | + | 0.792639i | ||||
\(183\) | 1.04107e6 | + | 1.30546e6i | 0.169874 | + | 0.213015i | ||||
\(184\) | 315336. | + | 654802.i | 0.0506198 | + | 0.105113i | ||||
\(185\) | −813559. | + | 3.56443e6i | −0.128491 | + | 0.562957i | ||||
\(186\) | 2.64480e6 | − | 1.27367e6i | 0.411011 | − | 0.197932i | ||||
\(187\) | 5.29180e6 | − | 6.63570e6i | 0.809242 | − | 1.01476i | ||||
\(188\) | 969915. | + | 4.24947e6i | 0.145969 | + | 0.639531i | ||||
\(189\) | 2.00156e6 | + | 8.76940e6i | 0.296472 | + | 1.29893i | ||||
\(190\) | −7.13430e6 | + | 1.48145e7i | −1.04014 | + | 2.15987i | ||||
\(191\) | 3.62830e6 | + | 2.89347e6i | 0.520718 | + | 0.415259i | 0.848262 | − | 0.529577i | \(-0.177649\pi\) |
−0.327543 | + | 0.944836i | \(0.606221\pi\) | |||||||
\(192\) | 2.65050e6 | − | 2.11370e6i | 0.374476 | − | 0.298635i | ||||
\(193\) | −8.49762e6 | − | 4.09224e6i | −1.18202 | − | 0.569232i | −0.263522 | − | 0.964653i | \(-0.584884\pi\) |
−0.918500 | + | 0.395422i | \(0.870598\pi\) | |||||||
\(194\) | −2.48031e6 | + | 5.15042e6i | −0.339704 | + | 0.705403i | ||||
\(195\) | 1.14453e6 | + | 1.43519e6i | 0.154355 | + | 0.193556i | ||||
\(196\) | 3.61466e6 | − | 4.53264e6i | 0.480064 | − | 0.601982i | ||||
\(197\) | 7.79538e6 | + | 3.75406e6i | 1.01962 | + | 0.491023i | 0.867552 | − | 0.497347i | \(-0.165692\pi\) |
0.152068 | + | 0.988370i | \(0.451407\pi\) | |||||||
\(198\) | −8.81818e6 | + | 2.01269e6i | −1.13601 | + | 0.259288i | ||||
\(199\) | −1.03045e7 | + | 2.35193e6i | −1.30758 | + | 0.298445i | −0.818858 | − | 0.573997i | \(-0.805392\pi\) |
−0.488717 | + | 0.872442i | \(0.662535\pi\) | |||||||
\(200\) | 62779.2 | + | 50064.8i | 0.00784740 | + | 0.00625809i | ||||
\(201\) | 1.08334e6 | + | 2.24957e6i | 0.133406 | + | 0.277020i | ||||
\(202\) | −1.61580e7 | − | 3.68796e6i | −1.96035 | − | 0.447437i | ||||
\(203\) | −1.68580e7 | + | 8.11841e6i | −2.01520 | + | 0.970471i | ||||
\(204\) | 3.55548e6 | − | 2.83540e6i | 0.418801 | − | 0.333982i | ||||
\(205\) | 1.40752e7 | − | 3.21257e6i | 1.63377 | − | 0.372898i | ||||
\(206\) | 7.09622e6 | − | 5.65905e6i | 0.811756 | − | 0.647354i | ||||
\(207\) | 1.14865e6 | − | 5.03258e6i | 0.129502 | − | 0.567387i | ||||
\(208\) | 4.22739e6 | 0.469766 | ||||||||
\(209\) | 2.15751e7i | 2.36328i | ||||||||
\(210\) | 2.21248e6 | − | 9.69351e6i | 0.238903 | − | 1.04670i | ||||
\(211\) | 4.53902e6 | + | 3.61975e6i | 0.483186 | + | 0.385328i | 0.834569 | − | 0.550904i | \(-0.185717\pi\) |
−0.351383 | + | 0.936232i | \(0.614288\pi\) | |||||||
\(212\) | −7.70193e6 | − | 3.70906e6i | −0.808336 | − | 0.389274i | ||||
\(213\) | −7.65829e6 | + | 3.68804e6i | −0.792488 | + | 0.381642i | ||||
\(214\) | 1.84517e6i | 0.188276i | ||||||||
\(215\) | −8.94675e6 | + | 3.32665e6i | −0.900223 | + | 0.334728i | ||||
\(216\) | 1.27772e6 | 0.126787 | ||||||||
\(217\) | −3.34652e6 | − | 6.94913e6i | −0.327503 | − | 0.680066i | ||||
\(218\) | −2.63925e6 | + | 5.48045e6i | −0.254748 | + | 0.528989i | ||||
\(219\) | 4.56625e6 | − | 5.72589e6i | 0.434737 | − | 0.545143i | ||||
\(220\) | 1.18120e7 | + | 2.69602e6i | 1.10932 | + | 0.253195i | ||||
\(221\) | 4.64022e6 | 0.429894 | ||||||||
\(222\) | 5.40671e6i | 0.494168i | ||||||||
\(223\) | 4.60253e6 | + | 1.05050e6i | 0.415032 | + | 0.0947284i | 0.424938 | − | 0.905223i | \(-0.360296\pi\) |
−0.00990558 | + | 0.999951i | \(0.503153\pi\) | |||||||
\(224\) | −1.30428e7 | − | 1.63552e7i | −1.16045 | − | 1.45516i | ||||
\(225\) | −126909. | − | 556023.i | −0.0111415 | − | 0.0488141i | ||||
\(226\) | −9.46475e6 | − | 1.18684e7i | −0.819943 | − | 1.02818i | ||||
\(227\) | −5.20887e6 | − | 1.08163e7i | −0.445314 | − | 0.924704i | −0.995946 | − | 0.0899556i | \(-0.971327\pi\) |
0.550632 | − | 0.834748i | \(-0.314387\pi\) | |||||||
\(228\) | −2.57238e6 | + | 1.12703e7i | −0.217036 | + | 0.950895i | ||||
\(229\) | 7.31547e6 | − | 3.52294e6i | 0.609166 | − | 0.293359i | −0.103755 | − | 0.994603i | \(-0.533086\pi\) |
0.712921 | + | 0.701244i | \(0.247372\pi\) | |||||||
\(230\) | −9.06820e6 | + | 1.13712e7i | −0.745311 | + | 0.934591i | ||||
\(231\) | −2.90306e6 | − | 1.27191e7i | −0.235516 | − | 1.03186i | ||||
\(232\) | 591432. | + | 2.59123e6i | 0.0473632 | + | 0.207512i | ||||
\(233\) | −2.94911e6 | + | 6.12389e6i | −0.233143 | + | 0.484127i | −0.984414 | − | 0.175867i | \(-0.943727\pi\) |
0.751270 | + | 0.659994i | \(0.229441\pi\) | |||||||
\(234\) | −3.86620e6 | − | 3.08319e6i | −0.301743 | − | 0.240632i | ||||
\(235\) | 7.05377e6 | − | 5.62520e6i | 0.543523 | − | 0.433445i | ||||
\(236\) | 4.48149e6 | + | 2.15817e6i | 0.340946 | + | 0.164191i | ||||
\(237\) | −1.86339e6 | + | 3.86936e6i | −0.139977 | + | 0.290666i | ||||
\(238\) | −1.56704e7 | − | 1.96501e7i | −1.16238 | − | 1.45758i | ||||
\(239\) | 1.25595e7 | − | 1.57491e7i | 0.919981 | − | 1.15362i | −0.0677891 | − | 0.997700i | \(-0.521594\pi\) |
0.987770 | − | 0.155920i | \(-0.0498341\pi\) | |||||||
\(240\) | −7.72633e6 | − | 3.72081e6i | −0.558907 | − | 0.269156i | ||||
\(241\) | 9.12278e6 | − | 2.08221e6i | 0.651742 | − | 0.148756i | 0.116149 | − | 0.993232i | \(-0.462945\pi\) |
0.535594 | + | 0.844476i | \(0.320088\pi\) | |||||||
\(242\) | 1.35239e7 | − | 3.08673e6i | 0.954233 | − | 0.217798i | ||||
\(243\) | −1.14068e7 | − | 9.09665e6i | −0.794962 | − | 0.633961i | ||||
\(244\) | 2.61423e6 | + | 5.42851e6i | 0.179959 | + | 0.373690i | ||||
\(245\) | −1.16992e7 | − | 2.67027e6i | −0.795533 | − | 0.181575i | ||||
\(246\) | 1.92356e7 | − | 9.26338e6i | 1.29211 | − | 0.622249i | ||||
\(247\) | −9.22214e6 | + | 7.35441e6i | −0.611985 | + | 0.488042i | ||||
\(248\) | −1.06814e6 | + | 243797.i | −0.0700285 | + | 0.0159835i | ||||
\(249\) | −9.87298e6 | + | 7.87344e6i | −0.639514 | + | 0.509996i | ||||
\(250\) | −4.96812e6 | + | 2.17668e7i | −0.317960 | + | 1.39307i | ||||
\(251\) | 2.56090e7 | 1.61946 | 0.809732 | − | 0.586800i | \(-0.199613\pi\) | ||||
0.809732 | + | 0.586800i | \(0.199613\pi\) | |||||||
\(252\) | 1.27337e7i | 0.795708i | ||||||||
\(253\) | −4.24657e6 | + | 1.86055e7i | −0.262227 | + | 1.14889i | ||||
\(254\) | −4.51355e6 | − | 3.59943e6i | −0.275433 | − | 0.219651i | ||||
\(255\) | −8.48086e6 | − | 4.08417e6i | −0.511469 | − | 0.246311i | ||||
\(256\) | −1.75398e7 | + | 8.44673e6i | −1.04545 | + | 0.503464i | ||||
\(257\) | − | 2.84340e7i | − | 1.67509i | −0.546367 | − | 0.837546i | \(-0.683990\pi\) | ||
0.546367 | − | 0.837546i | \(-0.316010\pi\) | |||||||
\(258\) | −1.18042e7 | + | 7.74027e6i | −0.687350 | + | 0.450710i | ||||
\(259\) | 1.42060e7 | 0.817659 | ||||||||
\(260\) | 2.87402e6 | + | 5.96797e6i | 0.163520 | + | 0.339552i | ||||
\(261\) | 8.19078e6 | − | 1.70083e7i | 0.460685 | − | 0.956621i | ||||
\(262\) | −5.59102e6 | + | 7.01092e6i | −0.310876 | + | 0.389826i | ||||
\(263\) | 2.20115e7 | + | 5.02398e6i | 1.20999 | + | 0.276173i | 0.779488 | − | 0.626417i | \(-0.215479\pi\) |
0.430503 | + | 0.902589i | \(0.358336\pi\) | |||||||
\(264\) | −1.85320e6 | −0.100719 | ||||||||
\(265\) | 1.76944e7i | 0.950819i | ||||||||
\(266\) | 6.22879e7 | + | 1.42168e7i | 3.30947 | + | 0.755365i | ||||
\(267\) | −6.14178e6 | − | 7.70155e6i | −0.322672 | − | 0.404617i | ||||
\(268\) | 2.00485e6 | + | 8.78381e6i | 0.104154 | + | 0.456329i | ||||
\(269\) | 1.98298e6 | + | 2.48657e6i | 0.101873 | + | 0.127745i | 0.830155 | − | 0.557533i | \(-0.188252\pi\) |
−0.728281 | + | 0.685278i | \(0.759681\pi\) | |||||||
\(270\) | 1.10943e7 | + | 2.30375e7i | 0.563648 | + | 1.17043i | ||||
\(271\) | 1.88759e6 | − | 8.27006e6i | 0.0948417 | − | 0.415528i | −0.905112 | − | 0.425174i | \(-0.860213\pi\) |
0.999953 | + | 0.00964512i | \(0.00307019\pi\) | |||||||
\(272\) | −1.95306e7 | + | 9.40544e6i | −0.970530 | + | 0.467383i | ||||
\(273\) | 4.44712e6 | − | 5.57651e6i | 0.218570 | − | 0.274078i | ||||
\(274\) | −883859. | − | 3.87244e6i | −0.0429666 | − | 0.188249i | ||||
\(275\) | 469182. | + | 2.05562e6i | 0.0225602 | + | 0.0988427i | ||||
\(276\) | −4.43662e6 | + | 9.21273e6i | −0.211021 | + | 0.438189i | ||||
\(277\) | −4.50580e6 | − | 3.59326e6i | −0.211999 | − | 0.169063i | 0.511734 | − | 0.859144i | \(-0.329003\pi\) |
−0.723732 | + | 0.690081i | \(0.757575\pi\) | |||||||
\(278\) | −1.70707e6 | + | 1.36134e6i | −0.0794541 | + | 0.0633625i | ||||
\(279\) | 7.01107e6 | + | 3.37635e6i | 0.322829 | + | 0.155466i | ||||
\(280\) | −1.61011e6 | + | 3.34344e6i | −0.0733471 | + | 0.152307i | ||||
\(281\) | −5.34936e6 | − | 6.70788e6i | −0.241092 | − | 0.302320i | 0.646534 | − | 0.762885i | \(-0.276218\pi\) |
−0.887626 | + | 0.460566i | \(0.847647\pi\) | |||||||
\(282\) | 8.31865e6 | − | 1.04313e7i | 0.370942 | − | 0.465146i | ||||
\(283\) | −2.01394e7 | − | 9.69864e6i | −0.888563 | − | 0.427909i | −0.0668180 | − | 0.997765i | \(-0.521285\pi\) |
−0.821745 | + | 0.569856i | \(0.806999\pi\) | |||||||
\(284\) | −2.99030e7 | + | 6.82517e6i | −1.30545 | + | 0.297960i | ||||
\(285\) | 2.33283e7 | − | 5.32453e6i | 1.00774 | − | 0.230010i | ||||
\(286\) | 1.42934e7 | + | 1.13986e7i | 0.610993 | + | 0.487251i | ||||
\(287\) | −2.43393e7 | − | 5.05410e7i | −1.02958 | − | 2.13795i | ||||
\(288\) | 2.05764e7 | + | 4.69642e6i | 0.861373 | + | 0.196603i | ||||
\(289\) | 309293. | − | 148947.i | 0.0128137 | − | 0.00617077i | ||||
\(290\) | −4.15852e7 | + | 3.31631e7i | −1.70508 | + | 1.35976i | ||||
\(291\) | 8.11032e6 | − | 1.85113e6i | 0.329123 | − | 0.0751203i | ||||
\(292\) | 2.06616e7 | − | 1.64771e7i | 0.829880 | − | 0.661807i | ||||
\(293\) | −2.65231e6 | + | 1.16205e7i | −0.105444 | + | 0.461980i | 0.894446 | + | 0.447175i | \(0.147570\pi\) |
−0.999890 | + | 0.0148052i | \(0.995287\pi\) | |||||||
\(294\) | −1.77459e7 | −0.698324 | ||||||||
\(295\) | − | 1.02957e7i | − | 0.401044i | ||||||
\(296\) | 449034. | − | 1.96735e6i | 0.0173143 | − | 0.0758587i | ||||
\(297\) | 2.62310e7 | + | 2.09185e7i | 1.00126 | + | 0.798476i | ||||
\(298\) | −2.86056e7 | − | 1.37757e7i | −1.08094 | − | 0.520554i | ||||
\(299\) | −9.40031e6 | + | 4.52695e6i | −0.351665 | + | 0.169353i | ||||
\(300\) | 1.12975e6i | 0.0418425i | ||||||||
\(301\) | 2.03373e7 | + | 3.10152e7i | 0.745752 | + | 1.13730i | ||||
\(302\) | 7.04017e7 | 2.55601 | ||||||||
\(303\) | 1.04646e7 | + | 2.17299e7i | 0.376178 | + | 0.781141i | ||||
\(304\) | 2.39089e7 | − | 4.96473e7i | 0.851018 | − | 1.76716i | ||||
\(305\) | 7.77581e6 | − | 9.75056e6i | 0.274060 | − | 0.343661i | ||||
\(306\) | 2.47217e7 | + | 5.64256e6i | 0.862807 | + | 0.196930i | ||||
\(307\) | −3.47232e7 | −1.20006 | −0.600032 | − | 0.799976i | \(-0.704846\pi\) | ||||
−0.600032 | + | 0.799976i | \(0.704846\pi\) | |||||||
\(308\) | − | 4.70766e7i | − | 1.61121i | ||||||
\(309\) | −1.28771e7 | − | 2.93912e6i | −0.436459 | − | 0.0996189i | ||||
\(310\) | −1.36703e7 | − | 1.71420e7i | −0.458874 | − | 0.575409i | ||||
\(311\) | −1.93516e6 | − | 8.47848e6i | −0.0643332 | − | 0.281862i | 0.932521 | − | 0.361115i | \(-0.117604\pi\) |
−0.996855 | + | 0.0792527i | \(0.974747\pi\) | |||||||
\(312\) | −631707. | − | 792135.i | −0.0207994 | − | 0.0260817i | ||||
\(313\) | −1.29371e7 | − | 2.68641e7i | −0.421893 | − | 0.876071i | −0.998265 | − | 0.0588830i | \(-0.981246\pi\) |
0.576371 | − | 0.817188i | \(-0.304468\pi\) | |||||||
\(314\) | −2.85793e6 | + | 1.25214e7i | −0.0923130 | + | 0.404450i | ||||
\(315\) | 2.37471e7 | − | 1.14360e7i | 0.759765 | − | 0.365883i | ||||
\(316\) | −9.66228e6 | + | 1.21161e7i | −0.306209 | + | 0.383974i | ||||
\(317\) | 2.42845e6 | + | 1.06397e7i | 0.0762344 | + | 0.334005i | 0.998635 | − | 0.0522295i | \(-0.0166327\pi\) |
−0.922401 | + | 0.386234i | \(0.873776\pi\) | |||||||
\(318\) | 5.82266e6 | + | 2.55108e7i | 0.181067 | + | 0.793308i | ||||
\(319\) | −3.02813e7 | + | 6.28799e7i | −0.932831 | + | 1.93704i | ||||
\(320\) | −1.97967e7 | − | 1.57874e7i | −0.604149 | − | 0.481793i | ||||
\(321\) | 2.09934e6 | − | 1.67417e6i | 0.0634699 | − | 0.0506155i | ||||
\(322\) | 5.09161e7 | + | 2.45199e7i | 1.52506 | + | 0.734431i | ||||
\(323\) | 2.62438e7 | − | 5.44957e7i | 0.778786 | − | 1.61717i | ||||
\(324\) | −1.19899e6 | − | 1.50349e6i | −0.0352517 | − | 0.0442043i | ||||
\(325\) | −718728. | + | 901256.i | −0.0209370 | + | 0.0262542i | ||||
\(326\) | −4.47976e6 | − | 2.15734e6i | −0.129301 | − | 0.0622682i | ||||
\(327\) | 8.63001e6 | − | 1.96974e6i | 0.246813 | − | 0.0563335i | ||||
\(328\) | −7.76861e6 | + | 1.77314e6i | −0.220152 | + | 0.0502482i | ||||
\(329\) | −2.74078e7 | − | 2.18570e7i | −0.769639 | − | 0.613766i | ||||
\(330\) | −1.60911e7 | − | 3.34136e7i | −0.447759 | − | 0.929782i | ||||
\(331\) | −5.21922e7 | − | 1.19125e7i | −1.43920 | − | 0.328488i | −0.569469 | − | 0.822013i | \(-0.692851\pi\) |
−0.869732 | + | 0.493525i | \(0.835708\pi\) | |||||||
\(332\) | −4.10549e7 | + | 1.97710e7i | −1.12189 | + | 0.540275i | ||||
\(333\) | −1.12057e7 | + | 8.93624e6i | −0.303463 | + | 0.242004i | ||||
\(334\) | 5.55939e7 | − | 1.26889e7i | 1.49207 | − | 0.340554i | ||||
\(335\) | 1.45804e7 | − | 1.16275e7i | 0.387824 | − | 0.309279i | ||||
\(336\) | −7.41460e6 | + | 3.24855e7i | −0.195465 | + | 0.856390i | ||||
\(337\) | −5.39446e7 | −1.40948 | −0.704740 | − | 0.709466i | \(-0.748936\pi\) | ||||
−0.704740 | + | 0.709466i | \(0.748936\pi\) | |||||||
\(338\) | − | 4.33190e7i | − | 1.12183i | ||||||
\(339\) | −4.91567e6 | + | 2.15370e7i | −0.126178 | + | 0.552822i | ||||
\(340\) | −2.65561e7 | − | 2.11778e7i | −0.675659 | − | 0.538820i | ||||
\(341\) | −2.59200e7 | − | 1.24824e7i | −0.653689 | − | 0.314800i | ||||
\(342\) | −5.80758e7 | + | 2.79678e7i | −1.45183 | + | 0.699166i | ||||
\(343\) | − | 8.25398e6i | − | 0.204541i | ||||||
\(344\) | 4.93805e6 | − | 1.83610e6i | 0.121305 | − | 0.0451047i | ||||
\(345\) | 2.11653e7 | 0.515427 | ||||||||
\(346\) | −1.59317e6 | − | 3.30826e6i | −0.0384623 | − | 0.0798678i | ||||
\(347\) | −1.78157e7 | + | 3.69947e7i | −0.426398 | + | 0.885424i | 0.571499 | + | 0.820603i | \(0.306362\pi\) |
−0.997897 | + | 0.0648215i | \(0.979352\pi\) | |||||||
\(348\) | −2.33153e7 | + | 2.92365e7i | −0.553228 | + | 0.693726i | ||||
\(349\) | 6.28606e7 | + | 1.43475e7i | 1.47877 | + | 0.337521i | 0.884424 | − | 0.466685i | \(-0.154552\pi\) |
0.594351 | + | 0.804206i | \(0.297409\pi\) | |||||||
\(350\) | 6.24378e6 | 0.145627 | ||||||||
\(351\) | 1.83428e7i | 0.424175i | ||||||||
\(352\) | −7.60709e7 | − | 1.73627e7i | −1.74418 | − | 0.398097i | ||||
\(353\) | 5.00239e7 | + | 6.27279e7i | 1.13724 | + | 1.42606i | 0.889325 | + | 0.457276i | \(0.151175\pi\) |
0.247918 | + | 0.968781i | \(0.420254\pi\) | |||||||
\(354\) | −3.38800e6 | − | 1.48438e7i | −0.0763720 | − | 0.334608i | ||||
\(355\) | 3.95838e7 | + | 4.96365e7i | 0.884774 | + | 1.10947i | ||||
\(356\) | −1.54227e7 | − | 3.20255e7i | −0.341829 | − | 0.709816i | ||||
\(357\) | −8.13869e6 | + | 3.56579e7i | −0.178875 | + | 0.783703i | ||||
\(358\) | −1.00073e8 | + | 4.81926e7i | −2.18106 | + | 1.05034i | ||||
\(359\) | 8.74314e6 | − | 1.09635e7i | 0.188966 | − | 0.236956i | −0.678319 | − | 0.734767i | \(-0.737291\pi\) |
0.867285 | + | 0.497811i | \(0.165863\pi\) | |||||||
\(360\) | −833122. | − | 3.65015e6i | −0.0178567 | − | 0.0782353i | ||||
\(361\) | 2.37453e7 | + | 1.04035e8i | 0.504726 | + | 2.21135i | ||||
\(362\) | 1.11452e7 | − | 2.31432e7i | 0.234943 | − | 0.487863i | ||||
\(363\) | −1.57824e7 | − | 1.25861e7i | −0.329954 | − | 0.263130i | ||||
\(364\) | 2.01226e7 | − | 1.60472e7i | 0.417233 | − | 0.332732i | ||||
\(365\) | −4.92840e7 | − | 2.37339e7i | −1.01351 | − | 0.488080i | ||||
\(366\) | 8.00212e6 | − | 1.66166e7i | 0.163216 | − | 0.338921i | ||||
\(367\) | 8.27589e6 | + | 1.03776e7i | 0.167424 | + | 0.209943i | 0.858464 | − | 0.512873i | \(-0.171419\pi\) |
−0.691041 | + | 0.722816i | \(0.742848\pi\) | |||||||
\(368\) | 3.03899e7 | − | 3.81077e7i | 0.609798 | − | 0.764662i | ||||
\(369\) | 5.09916e7 | + | 2.45562e7i | 1.01489 | + | 0.488746i | ||||
\(370\) | 3.93706e7 | − | 8.98608e6i | 0.777261 | − | 0.177405i | ||||
\(371\) | 6.70288e7 | − | 1.52989e7i | 1.31262 | − | 0.299597i | ||||
\(372\) | −1.20517e7 | − | 9.61092e6i | −0.234110 | − | 0.186696i | ||||
\(373\) | 1.44550e6 | + | 3.00160e6i | 0.0278542 | + | 0.0578398i | 0.914432 | − | 0.404740i | \(-0.132638\pi\) |
−0.886578 | + | 0.462580i | \(0.846924\pi\) | |||||||
\(374\) | −9.13961e7 | − | 2.08606e7i | −1.74708 | − | 0.398760i | ||||
\(375\) | 2.92727e7 | − | 1.40970e7i | 0.555098 | − | 0.267321i | ||||
\(376\) | −3.89324e6 | + | 3.10476e6i | −0.0732399 | + | 0.0584069i | ||||
\(377\) | −3.71997e7 | + | 8.49058e6i | −0.694249 | + | 0.158458i | ||||
\(378\) | 7.76769e7 | − | 6.19453e7i | 1.43819 | − | 1.14692i | ||||
\(379\) | 8.06707e6 | − | 3.53442e7i | 0.148183 | − | 0.649232i | −0.845207 | − | 0.534440i | \(-0.820523\pi\) |
0.993390 | − | 0.114792i | \(-0.0366202\pi\) | |||||||
\(380\) | 8.63437e7 | 1.57355 | ||||||||
\(381\) | 8.40112e6i | 0.151902i | ||||||||
\(382\) | 1.14062e7 | − | 4.99740e7i | 0.204622 | − | 0.896507i | ||||
\(383\) | −3.07130e7 | − | 2.44928e7i | −0.546670 | − | 0.435955i | 0.310810 | − | 0.950472i | \(-0.399400\pi\) |
−0.857480 | + | 0.514517i | \(0.827971\pi\) | |||||||
\(384\) | 7.82657e6 | + | 3.76908e6i | 0.138222 | + | 0.0665643i | ||||
\(385\) | −8.77932e7 | + | 4.22790e7i | −1.53843 | + | 0.740870i | ||||
\(386\) | 1.04176e8i | 1.81137i | ||||||||
\(387\) | −3.55522e7 | − | 1.16717e7i | −0.613385 | − | 0.201373i | ||||
\(388\) | 3.00183e7 | 0.513914 | ||||||||
\(389\) | −4.31579e7 | − | 8.96183e7i | −0.733181 | − | 1.52247i | −0.848533 | − | 0.529142i | \(-0.822514\pi\) |
0.115352 | − | 0.993325i | \(-0.463200\pi\) | |||||||
\(390\) | 8.79733e6 | − | 1.82679e7i | 0.148305 | − | 0.307960i | ||||
\(391\) | 3.33577e7 | − | 4.18292e7i | 0.558040 | − | 0.699761i | ||||
\(392\) | 6.45723e6 | + | 1.47382e6i | 0.107198 | + | 0.0244673i | ||||
\(393\) | 1.30495e7 | 0.214989 | ||||||||
\(394\) | − | 9.55672e7i | − | 1.56250i | ||||||
\(395\) | 3.12729e7 | + | 7.13784e6i | 0.507431 | + | 0.115818i | ||||
\(396\) | 2.96134e7 | + | 3.71341e7i | 0.476874 | + | 0.597981i | ||||
\(397\) | 1.89296e7 | + | 8.29358e7i | 0.302530 | + | 1.32547i | 0.866294 | + | 0.499535i | \(0.166496\pi\) |
−0.563763 | + | 0.825936i | \(0.690647\pi\) | |||||||
\(398\) | 7.27887e7 | + | 9.12742e7i | 1.15456 | + | 1.44777i | ||||
\(399\) | −4.03401e7 | − | 8.37670e7i | −0.635065 | − | 1.31873i | ||||
\(400\) | 1.19832e6 | − | 5.25019e6i | 0.0187238 | − | 0.0820342i | ||||
\(401\) | −4.80377e7 | + | 2.31337e7i | −0.744987 | + | 0.358767i | −0.767559 | − | 0.640978i | \(-0.778529\pi\) |
0.0225717 | + | 0.999745i | \(0.492815\pi\) | |||||||
\(402\) | 1.71949e7 | − | 2.15618e7i | 0.264681 | − | 0.331899i | ||||
\(403\) | −3.49994e6 | − | 1.53342e7i | −0.0534743 | − | 0.234286i | ||||
\(404\) | 1.93660e7 | + | 8.48478e7i | 0.293694 | + | 1.28676i | ||||
\(405\) | −1.72705e6 | + | 3.58626e6i | −0.0259980 | + | 0.0539854i | ||||
\(406\) | 1.61582e8 | + | 1.28857e8i | 2.41443 | + | 1.92544i | ||||
\(407\) | 4.14275e7 | − | 3.30373e7i | 0.614477 | − | 0.490029i | ||||
\(408\) | 4.68091e6 | + | 2.25421e6i | 0.0689207 | + | 0.0331904i | ||||
\(409\) | 2.53934e7 | − | 5.27300e7i | 0.371151 | − | 0.770704i | −0.628825 | − | 0.777547i | \(-0.716464\pi\) |
0.999977 | + | 0.00684294i | \(0.00217819\pi\) | |||||||
\(410\) | −9.94242e7 | − | 1.24674e8i | −1.44258 | − | 1.80894i | ||||
\(411\) | −3.60391e6 | + | 4.51916e6i | −0.0519097 | + | 0.0650927i | ||||
\(412\) | −4.29415e7 | − | 2.06795e7i | −0.614024 | − | 0.295698i | ||||
\(413\) | −3.90017e7 | + | 8.90188e6i | −0.553647 | + | 0.126366i | ||||
\(414\) | −5.55868e7 | + | 1.26873e7i | −0.783377 | + | 0.178801i | ||||
\(415\) | 7.37419e7 | + | 5.88072e7i | 1.03174 | + | 0.822785i | ||||
\(416\) | −1.85091e7 | − | 3.84344e7i | −0.257101 | − | 0.533876i | ||||
\(417\) | 3.09772e6 | + | 707035.i | 0.0427203 | + | 0.00975063i | ||||
\(418\) | 2.14706e8 | − | 1.03397e8i | 2.93979 | − | 1.41573i | ||||
\(419\) | −9.39160e7 | + | 7.48955e7i | −1.27673 | + | 1.01815i | −0.278391 | + | 0.960468i | \(0.589801\pi\) |
−0.998335 | + | 0.0576870i | \(0.981627\pi\) | |||||||
\(420\) | −5.09019e7 | + | 1.16180e7i | −0.687047 | + | 0.156814i | ||||
\(421\) | 1.00708e8 | − | 8.03122e7i | 1.34964 | − | 1.07631i | 0.359971 | − | 0.932963i | \(-0.382787\pi\) |
0.989673 | − | 0.143342i | \(-0.0457848\pi\) | |||||||
\(422\) | 1.42692e7 | − | 6.25176e7i | 0.189873 | − | 0.831889i | ||||
\(423\) | 3.53684e7 | 0.467299 | ||||||||
\(424\) | − | 9.76620e6i | − | 0.128123i | ||||||
\(425\) | 1.31535e6 | − | 5.76291e6i | 0.0171346 | − | 0.0750714i | ||||
\(426\) | 7.34035e7 | + | 5.85373e7i | 0.949484 | + | 0.757188i | ||||
\(427\) | −4.36596e7 | − | 2.10253e7i | −0.560784 | − | 0.270059i | ||||
\(428\) | 8.72972e6 | − | 4.20401e6i | 0.111344 | − | 0.0536207i | ||||
\(429\) | − | 2.66044e7i | − | 0.336963i | ||||||
\(430\) | 7.59820e7 | + | 7.30915e7i | 0.955664 | + | 0.919309i | ||||
\(431\) | −7.45728e7 | −0.931426 | −0.465713 | − | 0.884936i | \(-0.654202\pi\) | ||||
−0.465713 | + | 0.884936i | \(0.654202\pi\) | |||||||
\(432\) | −3.71798e7 | − | 7.72047e7i | −0.461165 | − | 0.957618i | ||||
\(433\) | −2.98942e7 | + | 6.20759e7i | −0.368233 | + | 0.764644i | −0.999944 | − | 0.0105598i | \(-0.996639\pi\) |
0.631711 | + | 0.775204i | \(0.282353\pi\) | |||||||
\(434\) | −5.31167e7 | + | 6.66063e7i | −0.649774 | + | 0.814790i | ||||
\(435\) | 7.54624e7 | + | 1.72238e7i | 0.916775 | + | 0.209248i | ||||
\(436\) | 3.19418e7 | 0.385390 | ||||||||
\(437\) | 1.36002e8i | 1.62968i | ||||||||
\(438\) | −7.88649e7 | − | 1.80004e7i | −0.938559 | − | 0.214220i | ||||
\(439\) | 2.08724e7 | + | 2.61731e7i | 0.246705 | + | 0.309359i | 0.889730 | − | 0.456486i | \(-0.150892\pi\) |
−0.643025 | + | 0.765845i | \(0.722321\pi\) | |||||||
\(440\) | 3.08006e6 | + | 1.34946e7i | 0.0361577 | + | 0.158417i | ||||
\(441\) | −2.93306e7 | − | 3.67794e7i | −0.341983 | − | 0.428834i | ||||
\(442\) | −2.22379e7 | − | 4.61774e7i | −0.257529 | − | 0.534765i | ||||
\(443\) | −3.23401e7 | + | 1.41691e8i | −0.371989 | + | 1.62979i | 0.349196 | + | 0.937050i | \(0.386455\pi\) |
−0.721185 | + | 0.692743i | \(0.756402\pi\) | |||||||
\(444\) | 2.55797e7 | − | 1.23186e7i | 0.292245 | − | 0.140738i | ||||
\(445\) | −4.58734e7 | + | 5.75234e7i | −0.520572 | + | 0.652777i | ||||
\(446\) | −1.16032e7 | − | 5.08368e7i | −0.130789 | − | 0.573025i | ||||
\(447\) | 1.02812e7 | + | 4.50450e7i | 0.115112 | + | 0.504340i | ||||
\(448\) | −4.26881e7 | + | 8.86428e7i | −0.474759 | + | 0.985847i | ||||
\(449\) | −6.76179e7 | − | 5.39235e7i | −0.747004 | − | 0.595716i | 0.174239 | − | 0.984703i | \(-0.444253\pi\) |
−0.921243 | + | 0.388988i | \(0.872825\pi\) | |||||||
\(450\) | −4.92510e6 | + | 3.92763e6i | −0.0540477 | + | 0.0431016i | ||||
\(451\) | −1.88516e8 | − | 9.07846e7i | −2.05503 | − | 0.989652i | ||||
\(452\) | −3.45865e7 | + | 7.18195e7i | −0.374534 | + | 0.777727i | ||||
\(453\) | −6.38770e7 | − | 8.00993e7i | −0.687148 | − | 0.861656i | ||||
\(454\) | −8.26763e7 | + | 1.03673e8i | −0.883515 | + | 1.10789i | ||||
\(455\) | −4.79983e7 | − | 2.31147e7i | −0.509555 | − | 0.245389i | ||||
\(456\) | −1.28758e7 | + | 2.93881e6i | −0.135793 | + | 0.0309939i | ||||
\(457\) | 1.52324e8 | − | 3.47669e7i | 1.59595 | − | 0.364265i | 0.670133 | − | 0.742241i | \(-0.266237\pi\) |
0.925815 | + | 0.377976i | \(0.123380\pi\) | |||||||
\(458\) | −7.01176e7 | − | 5.59169e7i | −0.729845 | − | 0.582032i | ||||
\(459\) | −4.08107e7 | − | 8.47443e7i | −0.422023 | − | 0.876339i | ||||
\(460\) | 7.44590e7 | + | 1.69948e7i | 0.764969 | + | 0.174599i | ||||
\(461\) | −9.87036e7 | + | 4.75331e7i | −1.00747 | + | 0.485170i | −0.863465 | − | 0.504408i | \(-0.831711\pi\) |
−0.144000 | + | 0.989578i | \(0.545996\pi\) | |||||||
\(462\) | −1.12662e8 | + | 8.98453e7i | −1.14249 | + | 0.911107i | ||||
\(463\) | 1.12409e8 | − | 2.56566e7i | 1.13255 | − | 0.258498i | 0.385140 | − | 0.922858i | \(-0.374153\pi\) |
0.747412 | + | 0.664361i | \(0.231296\pi\) | |||||||
\(464\) | 1.39363e8 | − | 1.11138e8i | 1.39506 | − | 1.11252i | ||||
\(465\) | −7.09990e6 | + | 3.11067e7i | −0.0706144 | + | 0.309382i | ||||
\(466\) | 7.50756e7 | 0.741893 | ||||||||
\(467\) | − | 9.25263e7i | − | 0.908478i | −0.890880 | − | 0.454239i | \(-0.849911\pi\) | ||
0.890880 | − | 0.454239i | \(-0.150089\pi\) | |||||||
\(468\) | −5.77823e6 | + | 2.53161e7i | −0.0563712 | + | 0.246979i | ||||
\(469\) | −5.66529e7 | − | 4.51792e7i | −0.549166 | − | 0.437945i | ||||
\(470\) | −8.97841e7 | − | 4.32378e7i | −0.864781 | − | 0.416456i | ||||
\(471\) | 1.68393e7 | − | 8.10936e6i | 0.161161 | − | 0.0776111i | ||||
\(472\) | 5.68261e6i | 0.0540408i | ||||||||
\(473\) | 1.31437e8 | + | 4.31503e7i | 1.24203 | + | 0.407756i | ||||
\(474\) | 4.74363e7 | 0.445426 | ||||||||
\(475\) | 6.51962e6 | + | 1.35381e7i | 0.0608333 | + | 0.126322i | ||||
\(476\) | −5.72634e7 | + | 1.18909e8i | −0.530954 | + | 1.10254i | ||||
\(477\) | −4.32486e7 | + | 5.42321e7i | −0.398490 | + | 0.499690i | ||||
\(478\) | −2.16919e8 | − | 4.95103e7i | −1.98616 | − | 0.453327i | ||||
\(479\) | 6.83869e7 | 0.622252 | 0.311126 | − | 0.950369i | \(-0.399294\pi\) | ||||
0.311126 | + | 0.950369i | \(0.399294\pi\) | |||||||
\(480\) | 8.65371e7i | 0.782490i | ||||||||
\(481\) | 2.82431e7 | + | 6.44631e6i | 0.253792 | + | 0.0579263i | ||||
\(482\) | −6.44414e7 | − | 8.08070e7i | −0.575472 | − | 0.721619i | ||||
\(483\) | −1.82999e7 | − | 8.01770e7i | −0.162408 | − | 0.711555i | ||||
\(484\) | −4.54162e7 | − | 5.69501e7i | −0.400566 | − | 0.502294i | ||||
\(485\) | −2.69591e7 | − | 5.59811e7i | −0.236309 | − | 0.490700i | ||||
\(486\) | −3.58595e7 | + | 1.57111e8i | −0.312389 | + | 1.36867i | ||||
\(487\) | −1.63767e8 | + | 7.88662e7i | −1.41788 | + | 0.682817i | −0.976702 | − | 0.214601i | \(-0.931155\pi\) |
−0.441182 | + | 0.897418i | \(0.645441\pi\) | |||||||
\(488\) | −4.29176e6 | + | 5.38170e6i | −0.0369297 | + | 0.0463084i | ||||
\(489\) | 1.61008e6 | + | 7.05424e6i | 0.0137696 | + | 0.0603287i | ||||
\(490\) | 2.94942e7 | + | 1.29222e8i | 0.250696 | + | 1.09837i | ||||
\(491\) | 3.66823e7 | − | 7.61715e7i | 0.309893 | − | 0.643499i | −0.686613 | − | 0.727023i | \(-0.740903\pi\) |
0.996506 | + | 0.0835239i | \(0.0266175\pi\) | |||||||
\(492\) | −8.76521e7 | − | 6.99002e7i | −0.735982 | − | 0.586926i | ||||
\(493\) | 1.52973e8 | − | 1.21992e8i | 1.27665 | − | 1.01810i | ||||
\(494\) | 1.17384e8 | + | 5.65293e7i | 0.973708 | + | 0.468913i | ||||
\(495\) | 4.26558e7 | − | 8.85758e7i | 0.351692 | − | 0.730297i | ||||
\(496\) | 4.58127e7 | + | 5.74473e7i | 0.375441 | + | 0.470788i | ||||
\(497\) | 1.53805e8 | − | 1.92866e8i | 1.25286 | − | 1.57103i | ||||
\(498\) | 1.25668e8 | + | 6.05187e7i | 1.01751 | + | 0.490006i | ||||
\(499\) | 6.20080e7 | − | 1.41529e7i | 0.499052 | − | 0.113905i | 0.0344169 | − | 0.999408i | \(-0.489043\pi\) |
0.464635 | + | 0.885502i | \(0.346185\pi\) | |||||||
\(500\) | 1.14300e8 | − | 2.60883e7i | 0.914401 | − | 0.208706i | ||||
\(501\) | −6.48784e7 | − | 5.17388e7i | −0.515926 | − | 0.411437i | ||||
\(502\) | −1.22729e8 | − | 2.54849e8i | −0.970144 | − | 2.01452i | ||||
\(503\) | −4.72745e7 | − | 1.07901e7i | −0.371469 | − | 0.0847854i | 0.0327109 | − | 0.999465i | \(-0.489586\pi\) |
−0.404180 | + | 0.914679i | \(0.632443\pi\) | |||||||
\(504\) | −1.31069e7 | + | 6.31196e6i | −0.102379 | + | 0.0493029i | ||||
\(505\) | 1.40840e8 | − | 1.12316e8i | 1.09359 | − | 0.872105i | ||||
\(506\) | 2.05505e8 | − | 4.69051e7i | 1.58625 | − | 0.362050i | ||||
\(507\) | −4.92860e7 | + | 3.93043e7i | −0.378181 | + | 0.301589i | ||||
\(508\) | −6.74573e6 | + | 2.95550e7i | −0.0514562 | + | 0.225444i | ||||
\(509\) | −1.21771e8 | −0.923401 | −0.461701 | − | 0.887036i | \(-0.652761\pi\) | ||||
−0.461701 | + | 0.887036i | \(0.652761\pi\) | |||||||
\(510\) | 1.03971e8i | 0.783793i | ||||||||
\(511\) | −4.72955e7 | + | 2.07215e8i | −0.354452 | + | 1.55296i | ||||
\(512\) | 1.41074e8 | + | 1.12503e8i | 1.05108 | + | 0.838212i | ||||
\(513\) | 2.15422e8 | + | 1.03742e8i | 1.59565 | + | 0.768426i | ||||
\(514\) | −2.82963e8 | + | 1.36268e8i | −2.08372 | + | 1.00347i | ||||
\(515\) | 9.86536e7i | 0.722256i | ||||||||
\(516\) | 6.35146e7 | + | 3.82117e7i | 0.462300 | + | 0.278130i | ||||
\(517\) | −1.30757e8 | −0.946224 | ||||||||
\(518\) | −6.80810e7 | − | 1.41372e8i | −0.489820 | − | 1.01712i | ||||
\(519\) | −2.31844e6 | + | 4.81429e6i | −0.0165842 | + | 0.0344374i | ||||
\(520\) | −4.71826e6 | + | 5.91651e6i | −0.0335561 | + | 0.0420780i | ||||
\(521\) | 4.23410e7 | + | 9.66405e6i | 0.299397 | + | 0.0683355i | 0.369581 | − | 0.929199i | \(-0.379501\pi\) |
−0.0701835 | + | 0.997534i | \(0.522358\pi\) | |||||||
\(522\) | −2.08513e8 | −1.46596 | ||||||||
\(523\) | − | 7.70056e7i | − | 0.538291i | −0.963100 | − | 0.269146i | \(-0.913259\pi\) | ||
0.963100 | − | 0.269146i | \(-0.0867413\pi\) | |||||||
\(524\) | 4.59079e7 | + | 1.04782e7i | 0.319076 | + | 0.0728269i | ||||
\(525\) | −5.66512e6 | − | 7.10384e6i | −0.0391500 | − | 0.0490925i | ||||
\(526\) | −5.54918e7 | − | 2.43126e8i | −0.381304 | − | 1.67060i | ||||
\(527\) | 5.02867e7 | + | 6.30575e7i | 0.343575 | + | 0.430829i | ||||
\(528\) | 5.39255e7 | + | 1.11978e8i | 0.366347 | + | 0.760727i | ||||
\(529\) | 6.17212e6 | − | 2.70418e7i | 0.0416934 | − | 0.182671i | ||||
\(530\) | 1.76087e8 | − | 8.47989e7i | 1.18277 | − | 0.569591i | ||||
\(531\) | 2.51649e7 | − | 3.15557e7i | 0.168078 | − | 0.210763i | ||||
\(532\) | −7.46543e7 | − | 3.27082e8i | −0.495815 | − | 2.17231i | ||||
\(533\) | −2.54551e7 | − | 1.11526e8i | −0.168110 | − | 0.736536i | ||||
\(534\) | −4.72085e7 | + | 9.80294e7i | −0.310025 | + | 0.643773i | ||||
\(535\) | −1.56801e7 | − | 1.25045e7i | −0.102397 | − | 0.0816590i | ||||
\(536\) | −8.04747e6 | + | 6.41764e6i | −0.0522594 | + | 0.0416755i | ||||
\(537\) | 1.45629e8 | + | 7.01314e7i | 0.940430 | + | 0.452887i | ||||
\(538\) | 1.52420e7 | − | 3.16504e7i | 0.0978805 | − | 0.203251i | ||||
\(539\) | 1.08435e8 | + | 1.35974e8i | 0.692475 | + | 0.868337i | ||||
\(540\) | 8.37160e7 | − | 1.04976e8i | 0.531651 | − | 0.666670i | ||||
\(541\) | −3.94404e7 | − | 1.89935e7i | −0.249086 | − | 0.119953i | 0.305175 | − | 0.952296i | \(-0.401285\pi\) |
−0.554261 | + | 0.832343i | \(0.686999\pi\) | |||||||
\(542\) | −9.13461e7 | + | 2.08492e7i | −0.573710 | + | 0.130946i | ||||
\(543\) | −3.64434e7 | + | 8.31797e6i | −0.227625 | + | 0.0519539i | ||||
\(544\) | 1.71024e8 | + | 1.36387e8i | 1.06233 | + | 0.847184i | ||||
\(545\) | −2.86866e7 | − | 5.95683e7i | −0.177210 | − | 0.367981i | ||||
\(546\) | −7.68074e7 | − | 1.75308e7i | −0.471873 | − | 0.107702i | ||||
\(547\) | 7.60888e7 | − | 3.66424e7i | 0.464899 | − | 0.223884i | −0.186745 | − | 0.982408i | \(-0.559794\pi\) |
0.651644 | + | 0.758525i | \(0.274080\pi\) | |||||||
\(548\) | −1.63072e7 | + | 1.30045e7i | −0.0990915 | + | 0.0790229i | ||||
\(549\) | 4.76646e7 | − | 1.08791e7i | 0.288058 | − | 0.0657473i | ||||
\(550\) | 1.82081e7 | − | 1.45205e7i | 0.109440 | − | 0.0872756i | ||||
\(551\) | −1.10675e8 | + | 4.84901e8i | −0.661602 | + | 2.89867i | ||||
\(552\) | −1.16819e7 | −0.0694540 | ||||||||
\(553\) | − | 1.24638e8i | − | 0.737010i | ||||||
\(554\) | −1.41648e7 | + | 6.20602e7i | −0.0833071 | + | 0.364992i | ||||
\(555\) | −4.59457e7 | − | 3.66405e7i | −0.268761 | − | 0.214330i | ||||
\(556\) | 1.03300e7 | + | 4.97466e6i | 0.0601002 | + | 0.0289427i | ||||
\(557\) | −5.24999e7 | + | 2.52826e7i | −0.303804 | + | 0.146304i | −0.579574 | − | 0.814919i | \(-0.696781\pi\) |
0.275771 | + | 0.961223i | \(0.411067\pi\) | |||||||
\(558\) | − | 8.59520e7i | − | 0.494713i | ||||||
\(559\) | 2.63590e7 | + | 7.08904e7i | 0.150902 | + | 0.405838i | ||||
\(560\) | 2.48876e8 | 1.41716 | ||||||||
\(561\) | 5.91917e7 | + | 1.22913e8i | 0.335253 | + | 0.696160i | ||||
\(562\) | −4.11175e7 | + | 8.53814e7i | −0.231642 | + | 0.481010i | ||||
\(563\) | 2.48614e7 | − | 3.11753e7i | 0.139316 | − | 0.174697i | −0.707279 | − | 0.706935i | \(-0.750077\pi\) |
0.846595 | + | 0.532238i | \(0.178649\pi\) | |||||||
\(564\) | −6.83045e7 | − | 1.55900e7i | −0.380725 | − | 0.0868981i | ||||
\(565\) | 1.64998e8 | 0.914815 | ||||||||
\(566\) | 2.46899e8i | 1.36166i | ||||||||
\(567\) | 1.50785e7 | + | 3.44156e6i | 0.0827196 | + | 0.0188802i | ||||
\(568\) | −2.18478e7 | − | 2.73963e7i | −0.119224 | − | 0.149502i | ||||
\(569\) | −9.51543e6 | − | 4.16898e7i | −0.0516526 | − | 0.226305i | 0.942513 | − | 0.334169i | \(-0.108456\pi\) |
−0.994166 | + | 0.107865i | \(0.965599\pi\) | |||||||
\(570\) | −1.64786e8 | − | 2.06635e8i | −0.889808 | − | 1.11578i | ||||
\(571\) | 1.39651e8 | + | 2.89988e8i | 0.750127 | + | 1.55765i | 0.828024 | + | 0.560693i | \(0.189465\pi\) |
−0.0778967 | + | 0.996961i | \(0.524820\pi\) | |||||||
\(572\) | 2.13622e7 | − | 9.35937e7i | 0.114145 | − | 0.500102i | ||||
\(573\) | −6.72068e7 | + | 3.23651e7i | −0.357231 | + | 0.172034i | ||||
\(574\) | −3.86318e8 | + | 4.84428e8i | −2.04272 | + | 2.56149i | ||||
\(575\) | 2.95756e6 | + | 1.29579e7i | 0.0155572 | + | 0.0681604i | ||||
\(576\) | −2.20881e7 | − | 9.67744e7i | −0.115582 | − | 0.506399i | ||||
\(577\) | −1.25213e8 | + | 2.60008e8i | −0.651812 | + | 1.35350i | 0.268865 | + | 0.963178i | \(0.413351\pi\) |
−0.920678 | + | 0.390324i | \(0.872363\pi\) | |||||||
\(578\) | −2.96452e6 | − | 2.36412e6i | −0.0153522 | − | 0.0122430i | ||||
\(579\) | 1.18526e8 | − | 9.45215e7i | 0.610631 | − | 0.486962i | ||||
\(580\) | 2.51645e8 | + | 1.21186e8i | 1.28975 | + | 0.621110i | ||||
\(581\) | 1.59011e8 | − | 3.30190e8i | 0.810773 | − | 1.68359i | ||||
\(582\) | −5.72896e7 | − | 7.18389e7i | −0.290608 | − | 0.364411i | ||||
\(583\) | 1.59890e8 | − | 2.00496e8i | 0.806894 | − | 1.01181i | ||||
\(584\) | 2.72017e7 | + | 1.30996e7i | 0.136571 | + | 0.0657690i | ||||
\(585\) | 5.24013e7 | − | 1.19603e7i | 0.261743 | − | 0.0597411i | ||||
\(586\) | 1.28354e8 | − | 2.92959e7i | 0.637845 | − | 0.145584i | ||||
\(587\) | 2.00940e8 | + | 1.60244e8i | 0.993462 | + | 0.792260i | 0.978209 | − | 0.207624i | \(-0.0665730\pi\) |
0.0152536 | + | 0.999884i | \(0.495144\pi\) | |||||||
\(588\) | 4.04320e7 | + | 8.39580e7i | 0.198881 | + | 0.412981i | ||||
\(589\) | −1.99883e8 | − | 4.56220e7i | −0.978205 | − | 0.223269i | ||||
\(590\) | −1.02459e8 | + | 4.93415e7i | −0.498877 | + | 0.240246i | ||||
\(591\) | −1.08731e8 | + | 8.67103e7i | −0.526735 | + | 0.420057i | ||||
\(592\) | −1.31941e8 | + | 3.01147e7i | −0.635938 | + | 0.145149i | ||||
\(593\) | −1.94849e7 | + | 1.55387e7i | −0.0934404 | + | 0.0745162i | −0.669096 | − | 0.743176i | \(-0.733318\pi\) |
0.575655 | + | 0.817692i | \(0.304747\pi\) | |||||||
\(594\) | 8.24620e7 | − | 3.61290e8i | 0.393455 | − | 1.72384i | ||||
\(595\) | 2.73180e8 | 1.29688 | ||||||||
\(596\) | 1.66723e8i | 0.787509i | ||||||||
\(597\) | 3.78040e7 | − | 1.65630e8i | 0.177670 | − | 0.778425i | ||||
\(598\) | 9.01005e7 | + | 7.18528e7i | 0.421331 | + | 0.336000i | ||||
\(599\) | −2.39010e8 | − | 1.15101e8i | −1.11208 | − | 0.535550i | −0.214643 | − | 0.976692i | \(-0.568859\pi\) |
−0.897437 | + | 0.441143i | \(0.854573\pi\) | |||||||
\(600\) | −1.16286e6 | + | 560002.i | −0.00538360 | + | 0.00259260i | ||||
\(601\) | − | 2.51018e8i | − | 1.15633i | −0.815920 | − | 0.578165i | \(-0.803769\pi\) | ||
0.815920 | − | 0.578165i | \(-0.196231\pi\) | |||||||
\(602\) | 2.11185e8 | − | 3.51026e8i | 0.967996 | − | 1.60898i | ||||
\(603\) | 7.31078e7 | 0.333435 | ||||||||
\(604\) | −1.60402e8 | − | 3.33078e8i | −0.727945 | − | 1.51159i | ||||
\(605\) | −6.54184e7 | + | 1.35843e8i | −0.295416 | + | 0.613438i | ||||
\(606\) | 1.66096e8 | − | 2.08277e8i | 0.746346 | − | 0.935889i | ||||
\(607\) | −3.56339e8 | − | 8.13321e7i | −1.59330 | − | 0.363660i | −0.668380 | − | 0.743820i | \(-0.733012\pi\) |
−0.924921 | + | 0.380160i | \(0.875869\pi\) | |||||||
\(608\) | −5.56064e8 | −2.47408 | ||||||||
\(609\) | − | 3.00754e8i | − | 1.33156i | ||||||
\(610\) | −1.34298e8 | − | 3.06527e7i | −0.591672 | − | 0.135045i | ||||
\(611\) | −4.45718e7 | − | 5.58912e7i | −0.195405 | − | 0.245030i | ||||
\(612\) | −2.96298e7 | − | 1.29817e8i | −0.129263 | − | 0.566339i | ||||
\(613\) | −1.95238e8 | − | 2.44820e8i | −0.847583 | − | 1.06284i | −0.997251 | − | 0.0740992i | \(-0.976392\pi\) |
0.149668 | − | 0.988736i | \(-0.452180\pi\) | |||||||
\(614\) | 1.66408e8 | + | 3.45550e8i | 0.718902 | + | 1.49281i | ||||
\(615\) | −5.16376e7 | + | 2.26239e8i | −0.221994 | + | 0.972618i | ||||
\(616\) | 4.84563e7 | − | 2.33353e7i | 0.207304 | − | 0.0998325i | ||||
\(617\) | −4.32076e7 | + | 5.41807e7i | −0.183952 | + | 0.230669i | −0.865254 | − | 0.501334i | \(-0.832843\pi\) |
0.681302 | + | 0.732003i | \(0.261414\pi\) | |||||||
\(618\) | 3.24638e7 | + | 1.42233e8i | 0.137541 | + | 0.602608i | ||||
\(619\) | 2.32643e7 | + | 1.01928e8i | 0.0980885 | + | 0.429754i | 0.999998 | − | 0.00217203i | \(-0.000691380\pi\) |
−0.901909 | + | 0.431926i | \(0.857834\pi\) | |||||||
\(620\) | −4.99546e7 | + | 1.03732e8i | −0.209604 | + | 0.435248i | ||||
\(621\) | 1.65351e8 | + | 1.31863e8i | 0.690451 | + | 0.550616i | ||||
\(622\) | −7.51000e7 | + | 5.98903e7i | −0.312082 | + | 0.248877i | ||||
\(623\) | 2.57570e8 | + | 1.24039e8i | 1.06520 | + | 0.512972i | ||||
\(624\) | −2.94821e7 | + | 6.12203e7i | −0.121340 | + | 0.251966i | ||||
\(625\) | −1.39498e8 | − | 1.74925e8i | −0.571385 | − | 0.716494i | ||||
\(626\) | −2.05340e8 | + | 2.57488e8i | −0.837048 | + | 1.04962i | ||||
\(627\) | −3.12448e8 | − | 1.50467e8i | −1.26758 | − | 0.610434i | ||||
\(628\) | 6.57516e7 | − | 1.50074e7i | 0.265477 | − | 0.0605935i | ||||
\(629\) | −1.44826e8 | + | 3.30556e7i | −0.581962 | + | 0.132829i | ||||
\(630\) | −2.27612e8 | − | 1.81515e8i | −0.910278 | − | 0.725922i | ||||
\(631\) | −3.76065e7 | − | 7.80907e7i | −0.149684 | − | 0.310822i | 0.812622 | − | 0.582791i | \(-0.198039\pi\) |
−0.962306 | + | 0.271969i | \(0.912325\pi\) | |||||||
\(632\) | −1.72607e7 | − | 3.93964e6i | −0.0683765 | − | 0.0156065i | ||||
\(633\) | −8.40760e7 | + | 4.04889e7i | −0.331483 | + | 0.159634i | ||||
\(634\) | 9.42438e7 | − | 7.51569e7i | 0.369815 | − | 0.294918i | ||||
\(635\) | 6.11753e7 | − | 1.39629e7i | 0.238921 | − | 0.0545322i | ||||
\(636\) | 1.07428e8 | − | 8.56709e7i | 0.417586 | − | 0.333013i | ||||
\(637\) | −2.11581e7 | + | 9.26998e7i | −0.0818575 | + | 0.358641i | ||||
\(638\) | 7.70874e8 | 2.96839 | ||||||||
\(639\) | 2.48883e8i | 0.953879i | ||||||||
\(640\) | 1.44377e7 | − | 6.32558e7i | 0.0550756 | − | 0.241302i | ||||
\(641\) | 3.26319e7 | + | 2.60231e7i | 0.123899 | + | 0.0988064i | 0.683479 | − | 0.729970i | \(-0.260466\pi\) |
−0.559580 | + | 0.828776i | \(0.689037\pi\) | |||||||
\(642\) | −2.67215e7 | − | 1.28684e7i | −0.100985 | − | 0.0486317i | ||||
\(643\) | 2.76104e8 | − | 1.32965e8i | 1.03858 | − | 0.500153i | 0.164724 | − | 0.986340i | \(-0.447327\pi\) |
0.873855 | + | 0.486187i | \(0.161613\pi\) | |||||||
\(644\) | − | 2.96755e8i | − | 1.11107i | ||||||
\(645\) | 1.42194e7 | − | 1.52766e8i | 0.0529909 | − | 0.569308i | ||||
\(646\) | −6.68089e8 | −2.47820 | ||||||||
\(647\) | −7.44597e7 | − | 1.54617e8i | −0.274921 | − | 0.570880i | 0.717097 | − | 0.696973i | \(-0.245470\pi\) |
−0.992018 | + | 0.126093i | \(0.959756\pi\) | |||||||
\(648\) | 953224. | − | 1.97939e6i | 0.00350324 | − | 0.00727455i | ||||
\(649\) | −9.30346e7 | + | 1.16662e8i | −0.340338 | + | 0.426770i | ||||
\(650\) | 1.24133e7 | + | 2.83327e6i | 0.0452011 | + | 0.0103169i | ||||
\(651\) | 1.23975e8 | 0.449357 | ||||||||
\(652\) | 2.61095e7i | 0.0942010i | ||||||||
\(653\) | −3.98575e7 | − | 9.09721e6i | −0.143143 | − | 0.0326715i | 0.150349 | − | 0.988633i | \(-0.451960\pi\) |
−0.293492 | + | 0.955962i | \(0.594817\pi\) | |||||||
\(654\) | −6.09607e7 | − | 7.64423e7i | −0.217930 | − | 0.273275i | ||||
\(655\) | −2.16886e7 | − | 9.50240e7i | −0.0771805 | − | 0.338150i | ||||
\(656\) | 3.33196e8 | + | 4.17815e8i | 1.18029 | + | 1.48004i | ||||
\(657\) | −9.30416e7 | − | 1.93203e8i | −0.328081 | − | 0.681267i | ||||
\(658\) | −8.61616e7 | + | 3.77499e8i | −0.302438 | + | 1.32507i | ||||
\(659\) | 3.13982e8 | − | 1.51206e8i | 1.09711 | − | 0.528338i | 0.204358 | − | 0.978896i | \(-0.434489\pi\) |
0.892747 | + | 0.450558i | \(0.148775\pi\) | |||||||
\(660\) | −1.21421e8 | + | 1.52258e8i | −0.422341 | + | 0.529599i | ||||
\(661\) | −6.05169e7 | − | 2.65142e8i | −0.209543 | − | 0.918066i | −0.964872 | − | 0.262721i | \(-0.915380\pi\) |
0.755329 | − | 0.655345i | \(-0.227477\pi\) | |||||||
\(662\) | 1.31579e8 | + | 5.76483e8i | 0.453535 | + | 1.98707i | ||||
\(663\) | −3.23613e7 | + | 6.71989e7i | −0.111041 | + | 0.230580i | ||||
\(664\) | −4.07009e7 | − | 3.24579e7i | −0.139027 | − | 0.110871i | ||||
\(665\) | −5.42929e8 | + | 4.32971e8i | −1.84620 | + | 1.47229i | ||||
\(666\) | 1.42632e8 | + | 6.86879e7i | 0.482830 | + | 0.232519i | ||||
\(667\) | −1.90883e8 | + | 3.96373e8i | −0.643266 | + | 1.33576i | ||||
\(668\) | −1.86697e8 | − | 2.34110e8i | −0.626336 | − | 0.785401i | ||||
\(669\) | −4.73115e7 | + | 5.93268e7i | −0.158012 | + | 0.198140i | ||||
\(670\) | −1.85587e8 | − | 8.93739e7i | −0.617054 | − | 0.297157i | ||||
\(671\) | −1.76216e8 | + | 4.02202e7i | −0.583282 | + | 0.133130i | ||||
\(672\) | 3.27815e8 | − | 7.48215e7i | 1.08024 | − | 0.246558i | ||||
\(673\) | 1.00191e7 | + | 7.98998e6i | 0.0328688 | + | 0.0262120i | 0.639786 | − | 0.768553i | \(-0.279023\pi\) |
−0.606918 | + | 0.794765i | \(0.707594\pi\) | |||||||
\(674\) | 2.58525e8 | + | 5.36833e8i | 0.844352 | + | 1.75331i | ||||
\(675\) | 2.27808e7 | + | 5.19957e6i | 0.0740727 | + | 0.0169066i | ||||
\(676\) | −2.04947e8 | + | 9.86971e7i | −0.663439 | + | 0.319495i | ||||
\(677\) | 1.69999e8 | − | 1.35569e8i | 0.547873 | − | 0.436914i | −0.310029 | − | 0.950727i | \(-0.600339\pi\) |
0.857902 | + | 0.513813i | \(0.171767\pi\) | |||||||
\(678\) | 2.37885e8 | − | 5.42956e7i | 0.763268 | − | 0.174211i | ||||
\(679\) | −1.88755e8 | + | 1.50527e8i | −0.602960 | + | 0.480845i | ||||
\(680\) | 8.63490e6 | − | 3.78320e7i | 0.0274619 | − | 0.120318i | ||||
\(681\) | 1.92968e8 | 0.611002 | ||||||||
\(682\) | 3.17765e8i | 1.00174i | ||||||||
\(683\) | −1.08748e6 | + | 4.76457e6i | −0.00341319 | + | 0.0149541i | −0.976606 | − | 0.215037i | \(-0.931013\pi\) |
0.973193 | + | 0.229991i | \(0.0738698\pi\) | |||||||
\(684\) | 2.64638e8 | + | 2.11041e8i | 0.826957 | + | 0.659477i | ||||
\(685\) | 3.88974e7 | + | 1.87320e7i | 0.121018 | + | 0.0582790i | ||||
\(686\) | −8.21400e7 | + | 3.95565e7i | −0.254438 | + | 0.122531i | ||||
\(687\) | 1.30511e8i | 0.402509i | ||||||||
\(688\) | −2.54635e8 | − | 2.44948e8i | −0.781904 | − | 0.752159i | ||||
\(689\) | 1.40203e8 | 0.428647 | ||||||||
\(690\) | −1.01433e8 | − | 2.10628e8i | −0.308768 | − | 0.641163i | ||||
\(691\) | 1.68980e7 | − | 3.50890e7i | 0.0512153 | − | 0.106350i | −0.873791 | − | 0.486302i | \(-0.838345\pi\) |
0.925006 | + | 0.379953i | \(0.124060\pi\) | |||||||
\(692\) | −1.20219e7 | + | 1.50750e7i | −0.0362789 | + | 0.0454923i | ||||
\(693\) | −3.72418e8 | − | 8.50020e7i | −1.11900 | − | 0.255405i | ||||
\(694\) | 4.53536e8 | 1.35685 | ||||||||
\(695\) | − | 2.37321e7i | − | 0.0706939i | ||||||
\(696\) | −4.16505e7 | − | 9.50646e6i | −0.123536 | − | 0.0281962i | ||||
\(697\) | 3.65735e8 | + | 4.58617e8i | 1.08011 | + | 1.35442i | ||||
\(698\) | −1.58474e8 | − | 6.94320e8i | −0.466006 | − | 2.04171i | ||||
\(699\) | −6.81178e7 | − | 8.54171e7i | −0.199448 | − | 0.250100i | ||||
\(700\) | −1.42257e7 | − | 2.95400e7i | −0.0414744 | − | 0.0861224i | ||||
\(701\) | 3.83165e6 | − | 1.67875e7i | 0.0111232 | − | 0.0487341i | −0.969062 | − | 0.246818i | \(-0.920615\pi\) |
0.980185 | + | 0.198084i | \(0.0634720\pi\) | |||||||
\(702\) | 1.82540e8 | − | 8.79066e7i | 0.527651 | − | 0.254103i | ||||
\(703\) | 2.35442e8 | − | 2.95235e8i | 0.677669 | − | 0.849770i | ||||
\(704\) | 8.16599e7 | + | 3.57776e8i | 0.234041 | + | 1.02540i | ||||
\(705\) | 3.22696e7 | + | 1.41382e8i | 0.0920928 | + | 0.403485i | ||||
\(706\) | 3.84506e8 | − | 7.98434e8i | 1.09267 | − | 2.26895i | ||||
\(707\) | −5.47243e8 | − | 4.36412e8i | −1.54854 | − | 1.23492i | ||||
\(708\) | −6.25085e7 | + | 4.98489e7i | −0.176132 | + | 0.140461i | ||||
\(709\) | −2.69780e8 | − | 1.29919e8i | −0.756957 | − | 0.364531i | 0.0152657 | − | 0.999883i | \(-0.495141\pi\) |
−0.772222 | + | 0.635352i | \(0.780855\pi\) | |||||||
\(710\) | 3.04259e8 | − | 6.31800e8i | 0.850096 | − | 1.76524i | ||||
\(711\) | 7.84030e7 | + | 9.83142e7i | 0.218134 | + | 0.273532i | ||||
\(712\) | 2.53192e7 | − | 3.17493e7i | 0.0701473 | − | 0.0879619i | ||||
\(713\) | −1.63391e8 | − | 7.86848e7i | −0.450774 | − | 0.217081i | ||||
\(714\) | 3.93856e8 | − | 8.98950e7i | 1.08204 | − | 0.246968i | ||||
\(715\) | −1.93728e8 | + | 4.42172e7i | −0.529998 | + | 0.120969i | ||||
\(716\) | 4.56009e8 | + | 3.63655e8i | 1.24232 | + | 0.990719i | ||||
\(717\) | 1.40485e8 | + | 2.91720e8i | 0.381130 | + | 0.791424i | ||||
\(718\) | −1.51005e8 | − | 3.44659e7i | −0.407961 | − | 0.0931144i | ||||
\(719\) | 1.28455e8 | − | 6.18608e7i | 0.345593 | − | 0.166429i | −0.253033 | − | 0.967458i | \(-0.581428\pi\) |
0.598626 | + | 0.801029i | \(0.295714\pi\) | |||||||
\(720\) | −1.96314e8 | + | 1.56555e8i | −0.525960 | + | 0.419439i | ||||
\(721\) | 3.73713e8 | − | 8.52976e7i | 0.997086 | − | 0.227578i | ||||
\(722\) | 9.21512e8 | − | 7.34881e8i | 2.44844 | − | 1.95257i | ||||
\(723\) | −3.34687e7 | + | 1.46636e8i | −0.0885573 | + | 0.387995i | ||||
\(724\) | −1.34886e8 | −0.355428 | ||||||||
\(725\) | 4.86068e7i | 0.127551i | ||||||||
\(726\) | −4.96150e7 | + | 2.17377e8i | −0.129659 | + | 0.568074i | ||||
\(727\) | 3.70724e8 | + | 2.95643e8i | 0.964823 | + | 0.769420i | 0.973062 | − | 0.230546i | \(-0.0740511\pi\) |
−0.00823874 | + | 0.999966i | \(0.502623\pi\) | |||||||
\(728\) | 2.64920e7 | + | 1.27579e7i | 0.0686628 | + | 0.0330662i | ||||
\(729\) | 1.89512e8 | − | 9.12641e7i | 0.489163 | − | 0.235569i | ||||
\(730\) | 6.04196e8i | 1.55313i | ||||||||
\(731\) | −2.79502e8 | − | 2.68869e8i | −0.715539 | − | 0.688318i | ||||
\(732\) | −9.68466e7 | −0.246917 | ||||||||
\(733\) | 5.50159e7 | + | 1.14242e8i | 0.139694 | + | 0.290077i | 0.959065 | − | 0.283186i | \(-0.0913915\pi\) |
−0.819371 | + | 0.573263i | \(0.805677\pi\) | |||||||
\(734\) | 6.36122e7 | − | 1.32092e8i | 0.160861 | − | 0.334032i | ||||
\(735\) | 1.20262e8 | − | 1.50803e8i | 0.302876 | − | 0.379795i | ||||
\(736\) | −4.79525e8 | − | 1.09448e8i | −1.20276 | − | 0.274522i | ||||
\(737\) | −2.70280e8 | −0.675167 | ||||||||
\(738\) | − | 6.25130e8i | − | 1.55525i | ||||||
\(739\) | 6.04048e8 | + | 1.37870e8i | 1.49671 | + | 0.341615i | 0.890976 | − | 0.454051i | \(-0.150022\pi\) |
0.605736 | + | 0.795665i | \(0.292879\pi\) | |||||||
\(740\) | −1.32215e8 | − | 1.65793e8i | −0.326277 | − | 0.409139i | ||||
\(741\) | −4.21894e7 | − | 1.84844e8i | −0.103693 | − | 0.454308i | ||||
\(742\) | −4.73478e8 | − | 5.93722e8i | −1.15901 | − | 1.45335i | ||||
\(743\) | 1.42975e8 | + | 2.96890e8i | 0.348572 | + | 0.723818i | 0.999372 | − | 0.0354316i | \(-0.0112806\pi\) |
−0.650800 | + | 0.759249i | \(0.725566\pi\) | |||||||
\(744\) | 3.91870e6 | − | 1.71689e7i | 0.00951531 | − | 0.0416893i | ||||
\(745\) | 3.10921e8 | − | 1.49732e8i | 0.751936 | − | 0.362113i | ||||
\(746\) | 2.29432e7 | − | 2.87699e7i | 0.0552634 | − | 0.0692981i | ||||
\(747\) | 8.22772e7 | + | 3.60480e8i | 0.197387 | + | 0.864807i | ||||
\(748\) | 1.09542e8 | + | 4.79933e8i | 0.261743 | + | 1.14677i | ||||
\(749\) | −3.38113e7 | + | 7.02100e7i | −0.0804668 | + | 0.167091i | ||||
\(750\) | −2.80575e8 | − | 2.23751e8i | −0.665066 | − | 0.530372i | ||||
\(751\) | 4.25445e8 | − | 3.39281e8i | 1.00444 | − | 0.801014i | 0.0243772 | − | 0.999703i | \(-0.492240\pi\) |
0.980063 | + | 0.198689i | \(0.0636683\pi\) | |||||||
\(752\) | 3.00890e8 | + | 1.44901e8i | 0.707545 | + | 0.340736i | ||||
\(753\) | −1.78599e8 | + | 3.70865e8i | −0.418306 | + | 0.868622i | ||||
\(754\) | 2.62771e8 | + | 3.29504e8i | 0.613004 | + | 0.768683i | ||||
\(755\) | −4.77102e8 | + | 5.98267e8i | −1.10859 | + | 1.39013i | ||||
\(756\) | −4.70048e8 | − | 2.26363e8i | −1.08787 | − | 0.523890i | ||||
\(757\) | 4.42524e8 | − | 1.01003e8i | 1.02012 | − | 0.232835i | 0.320420 | − | 0.947276i | \(-0.396176\pi\) |
0.699696 | + | 0.714441i | \(0.253319\pi\) | |||||||
\(758\) | −3.90390e8 | + | 8.91041e7i | −0.896379 | + | 0.204593i | ||||
\(759\) | −2.39825e8 | − | 1.91254e8i | −0.548491 | − | 0.437407i | ||||
\(760\) | 4.27996e7 | + | 8.88743e7i | 0.0974988 | + | 0.202458i | ||||
\(761\) | −1.52658e8 | − | 3.48432e7i | −0.346391 | − | 0.0790614i | 0.0457861 | − | 0.998951i | \(-0.485421\pi\) |
−0.392177 | + | 0.919890i | \(0.628278\pi\) | |||||||
\(762\) | 8.36043e7 | − | 4.02617e7i | 0.188957 | − | 0.0909970i | ||||
\(763\) | −2.00850e8 | + | 1.60172e8i | −0.452166 | + | 0.360590i | ||||
\(764\) | −2.62420e8 | + | 5.98956e7i | −0.588460 | + | 0.134312i | ||||
\(765\) | −2.15485e8 | + | 1.71844e8i | −0.481319 | + | 0.383839i | ||||
\(766\) | −9.65519e7 | + | 4.23022e8i | −0.214820 | + | 0.941188i | ||||
\(767\) | −8.15793e7 | −0.180798 | ||||||||
\(768\) | − | 3.12917e8i | − | 0.690789i | ||||||
\(769\) | 1.40354e8 | − | 6.14933e8i | 0.308636 | − | 1.35222i | −0.548075 | − | 0.836429i | \(-0.684639\pi\) |
0.856712 | − | 0.515796i | \(-0.172504\pi\) | |||||||
\(770\) | 8.41483e8 | + | 6.71061e8i | 1.84320 | + | 1.46991i | ||||
\(771\) | 4.11776e8 | + | 1.98301e8i | 0.898459 | + | 0.432675i | ||||
\(772\) | 4.92869e8 | − | 2.37353e8i | 1.07122 | − | 0.515874i | ||||
\(773\) | 1.26755e8i | 0.274427i | 0.990541 | + | 0.137214i | \(0.0438147\pi\) | ||||
−0.990541 | + | 0.137214i | \(0.956185\pi\) | |||||||
\(774\) | 5.42293e7 | + | 4.09735e8i | 0.116953 | + | 0.883651i | ||||
\(775\) | −2.00364e7 | −0.0430442 | ||||||||
\(776\) | 1.48797e7 | + | 3.08981e7i | 0.0318427 | + | 0.0661220i | ||||
\(777\) | −9.90737e7 | + | 2.05729e8i | −0.211201 | + | 0.438563i | ||||
\(778\) | −6.85011e8 | + | 8.58977e8i | −1.45465 | + | 1.82407i | ||||
\(779\) | −1.45375e9 | − | 3.31809e8i | −3.07523 | − | 0.701901i | ||||
\(780\) | −1.06471e8 | −0.224361 | ||||||||
\(781\) | − | 9.20123e8i | − | 1.93149i | ||||||
\(782\) | −5.76130e8 | − | 1.31498e8i | −1.20476 | − | 0.274978i | ||||
\(783\) | 4.82234e8 | + | 6.04702e8i | 1.00455 | + | 1.25967i | ||||
\(784\) | −9.88426e7 | − | 4.33058e8i | −0.205114 | − | 0.898665i | ||||
\(785\) | −8.70380e7 | − | 1.09142e8i | −0.179928 | − | 0.225623i | ||||
\(786\) | −6.25388e7 | − | 1.29863e8i | −0.128790 | − | 0.267435i | ||||
\(787\) | −1.81312e7 | + | 7.94380e7i | −0.0371965 | + | 0.162969i | −0.990115 | − | 0.140258i | \(-0.955207\pi\) |
0.952918 | + | 0.303227i | \(0.0980639\pi\) | |||||||
\(788\) | −4.52139e8 | + | 2.17739e8i | −0.924045 | + | 0.444996i | ||||
\(789\) | −2.26266e8 | + | 2.83729e8i | −0.460669 | + | 0.577661i | ||||
\(790\) | −7.88403e7 | − | 3.45422e8i | −0.159907 | − | 0.700597i | ||||
\(791\) | −1.42660e8 | − | 6.25035e8i | −0.288252 | − | 1.26292i | ||||
\(792\) | −2.35434e7 | + | 4.88883e7i | −0.0473907 | + | 0.0984078i | ||||
\(793\) | −7.72595e7 | − | 6.16124e7i | −0.154929 | − | 0.123552i | ||||
\(794\) | 7.34622e8 | − | 5.85842e8i | 1.46758 | − | 1.17036i | ||||
\(795\) | −2.56247e8 | − | 1.23402e8i | −0.509985 | − | 0.245596i | ||||
\(796\) | 2.65988e8 | − | 5.52329e8i | 0.527378 | − | 1.09511i | ||||
\(797\) | 7.46652e7 | + | 9.36272e7i | 0.147483 | + | 0.184938i | 0.850086 | − | 0.526644i | \(-0.176550\pi\) |
−0.702602 | + | 0.711583i | \(0.747979\pi\) | |||||||
\(798\) | −6.40286e8 | + | 8.02894e8i | −1.25999 | + | 1.57997i | ||||
\(799\) | 3.30274e8 | + | 1.59052e8i | 0.647491 | + | 0.311815i | ||||
\(800\) | −5.29802e7 | + | 1.20924e7i | −0.103477 | + | 0.0236180i | ||||
\(801\) | −2.81197e8 | + | 6.41815e7i | −0.547159 | + | 0.124886i | ||||
\(802\) | 4.60433e8 | + | 3.67183e8i | 0.892573 | + | 0.711803i | ||||
\(803\) | 3.43975e8 | + | 7.14272e8i | 0.664325 | + | 1.37948i | ||||
\(804\) | −1.41188e8 | − | 3.22252e7i | −0.271662 | − | 0.0620050i | ||||
\(805\) | −5.53418e8 | + | 2.66512e8i | −1.06088 | + | 0.510892i | ||||
\(806\) | −1.35826e8 | + | 1.08318e8i | −0.259405 | + | 0.206869i | ||||
\(807\) | −4.98396e7 | + | 1.13756e7i | −0.0948318 | + | 0.0216447i | ||||
\(808\) | −7.77350e7 | + | 6.19916e7i | −0.147361 | + | 0.117517i | ||||
\(809\) | −8.87065e7 | + | 3.88649e8i | −0.167537 | + | 0.734026i | 0.819440 | + | 0.573165i | \(0.194284\pi\) |
−0.986977 | + | 0.160862i | \(0.948573\pi\) | |||||||
\(810\) | 4.39656e7 | 0.0827291 | ||||||||
\(811\) | − | 3.64474e7i | − | 0.0683288i | −0.999416 | − | 0.0341644i | \(-0.989123\pi\) | ||
0.999416 | − | 0.0341644i | \(-0.0108770\pi\) | |||||||
\(812\) | 2.41492e8 | − | 1.05805e9i | 0.451060 | − | 1.97623i | ||||
\(813\) | 1.06601e8 | + | 8.50118e7i | 0.198377 | + | 0.158200i | ||||
\(814\) | −5.27311e8 | − | 2.53940e8i | −0.977673 | − | 0.470822i | ||||
\(815\) | 4.86916e7 | − | 2.34486e7i | 0.0899458 | − | 0.0433156i | ||||
\(816\) | − | 3.48433e8i | − | 0.641282i | ||||||
\(817\) | 9.81631e8 | + | 9.13699e7i | 1.80004 | + | 0.167547i | ||||
\(818\) | −6.46441e8 | −1.18105 | ||||||||
\(819\) | −9.06142e7 | − | 1.88162e8i | −0.164947 | − | 0.342516i | ||||
\(820\) | −3.63320e8 | + | 7.54441e8i | −0.658942 | + | 1.36831i | ||||
\(821\) | −2.60032e8 | + | 3.26070e8i | −0.469891 | + | 0.589225i | −0.959144 | − | 0.282917i | \(-0.908698\pi\) |
0.489253 | + | 0.872142i | \(0.337269\pi\) | |||||||
\(822\) | 6.22441e7 | + | 1.42068e7i | 0.112068 | + | 0.0255789i | ||||
\(823\) | −2.17155e8 | −0.389556 | −0.194778 | − | 0.980847i | \(-0.562399\pi\) | ||||
−0.194778 | + | 0.980847i | \(0.562399\pi\) | |||||||
\(824\) | − | 5.44506e7i | − | 0.0973242i | ||||||
\(825\) | −3.30413e7 | − | 7.54145e6i | −0.0588430 | − | 0.0134305i | ||||
\(826\) | 2.75500e8 | + | 3.45466e8i | 0.488857 | + | 0.613007i | ||||
\(827\) | 1.34282e8 | + | 5.88327e8i | 0.237411 | + | 1.04016i | 0.943326 | + | 0.331868i | \(0.107679\pi\) |
−0.705915 | + | 0.708297i | \(0.749464\pi\) | |||||||
\(828\) | 1.86673e8 | + | 2.34081e8i | 0.328845 | + | 0.412358i | ||||
\(829\) | −2.49813e8 | − | 5.18742e8i | −0.438482 | − | 0.910517i | −0.996727 | − | 0.0808412i | \(-0.974239\pi\) |
0.558245 | − | 0.829676i | \(-0.311475\pi\) | |||||||
\(830\) | 2.31821e8 | − | 1.01568e9i | 0.405433 | − | 1.77632i | ||||
\(831\) | 8.34609e7 | − | 4.01926e7i | 0.145439 | − | 0.0700396i | ||||
\(832\) | −1.25093e8 | + | 1.56861e8i | −0.217201 | + | 0.272362i | ||||
\(833\) | −1.08495e8 | − | 4.75349e8i | −0.187705 | − | 0.822390i | ||||
\(834\) | −7.80948e6 | − | 3.42156e7i | −0.0134624 | − | 0.0589828i | ||||
\(835\) | −2.68922e8 | + | 5.58423e8i | −0.461921 | + | 0.959188i | ||||
\(836\) | −9.78366e8 | − | 7.80221e8i | −1.67449 | − | 1.33536i | ||||
\(837\) | −2.49267e8 | + | 1.98784e8i | −0.425097 | + | 0.339004i | ||||
\(838\) | 1.19541e9 | + | 5.75680e8i | 2.03135 | + | 0.978249i | ||||
\(839\) | 3.30069e8 | − | 6.85396e8i | 0.558881 | − | 1.16053i | −0.409790 | − | 0.912180i | \(-0.634398\pi\) |
0.968671 | − | 0.248348i | \(-0.0798876\pi\) | |||||||
\(840\) | −3.71900e7 | − | 4.66348e7i | −0.0627464 | − | 0.0786815i | ||||
\(841\) | −6.32265e8 | + | 7.92835e8i | −1.06295 | + | 1.33289i | ||||
\(842\) | −1.28187e9 | − | 6.17316e8i | −2.14737 | − | 1.03412i | ||||
\(843\) | 1.34449e8 | − | 3.06872e7i | 0.224427 | − | 0.0512241i | ||||
\(844\) | −3.28288e8 | + | 7.49297e7i | −0.546045 | + | 0.124631i | ||||
\(845\) | 3.68120e8 | + | 2.93566e8i | 0.610126 | + | 0.486560i | ||||
\(846\) | −1.69500e8 | − | 3.51971e8i | −0.279936 | − | 0.581294i | ||||
\(847\) | 5.71153e8 | + | 1.30362e8i | 0.939945 | + | 0.214536i | ||||
\(848\) | −5.90113e8 | + | 2.84183e8i | −0.967715 | + | 0.466027i | ||||
\(849\) | 2.80908e8 | − | 2.24017e8i | 0.459030 | − | 0.366065i | ||||
\(850\) | −6.36536e7 | + | 1.45285e7i | −0.103649 | + | 0.0236573i | ||||
\(851\) | 2.61145e8 | − | 2.08256e8i | 0.423734 | − | 0.337916i | ||||
\(852\) | 1.09705e8 | − | 4.80650e8i | 0.177382 | − | 0.777160i | ||||
\(853\) | 6.49440e8 | 1.04639 | 0.523193 | − | 0.852214i | \(-0.324741\pi\) | ||||
0.523193 | + | 0.852214i | \(0.324741\pi\) | |||||||
\(854\) | 5.35243e8i | 0.859364i | ||||||||
\(855\) | 1.55903e8 | − | 6.83056e8i | 0.249434 | − | 1.09284i | ||||
\(856\) | 8.65444e6 | + | 6.90169e6i | 0.0137980 | + | 0.0110036i | ||||
\(857\) | 8.13781e8 | + | 3.91896e8i | 1.29290 | + | 0.622628i | 0.948673 | − | 0.316258i | \(-0.102427\pi\) |
0.344227 | + | 0.938886i | \(0.388141\pi\) | |||||||
\(858\) | −2.64755e8 | + | 1.27499e8i | −0.419163 | + | 0.201858i | ||||
\(859\) | − | 3.64291e8i | − | 0.574737i | −0.957820 | − | 0.287368i | \(-0.907220\pi\) | ||
0.957820 | − | 0.287368i | \(-0.0927804\pi\) | |||||||
\(860\) | 1.72688e8 | − | 5.26009e8i | 0.271497 | − | 0.826986i | ||||
\(861\) | 9.01671e8 | 1.41266 | ||||||||
\(862\) | 3.57384e8 | + | 7.42116e8i | 0.557973 | + | 1.15864i | ||||
\(863\) | 2.28260e8 | − | 4.73987e8i | 0.355139 | − | 0.737453i | −0.644492 | − | 0.764611i | \(-0.722931\pi\) |
0.999631 | + | 0.0271576i | \(0.00864559\pi\) | |||||||
\(864\) | −5.39141e8 | + | 6.76061e8i | −0.835913 | + | 1.04820i | ||||
\(865\) | 3.89100e7 | + | 8.88095e6i | 0.0601192 | + | 0.0137218i | ||||
\(866\) | 7.61018e8 | 1.17177 | ||||||||
\(867\) | 5.51790e6i | 0.00846674i | ||||||||
\(868\) | 4.36142e8 | + | 9.95465e7i | 0.666912 | + | 0.152218i | ||||
\(869\) | −2.89856e8 | − | 3.63468e8i | −0.441696 | − | 0.553869i | ||||
\(870\) | −1.90244e8 | − | 8.33513e8i | −0.288903 | − | 1.26577i | ||||
\(871\) | −9.21314e7 | − | 1.15529e8i | −0.139429 | − | 0.174838i | ||||
\(872\) | 1.58332e7 | + | 3.28780e7i | 0.0238792 | + | 0.0495856i | ||||
\(873\) | 5.42013e7 | − | 2.37471e8i | 0.0814643 | − | 0.356918i | ||||
\(874\) | 1.35344e9 | − | 6.51781e8i | 2.02723 | − | 0.976264i | ||||
\(875\) | −5.87899e8 | + | 7.37202e8i | −0.877563 | + | 1.10043i | ||||
\(876\) | 9.45225e7 | + | 4.14130e8i | 0.140612 | + | 0.616062i | ||||
\(877\) | −2.47502e8 | − | 1.08438e9i | −0.366927 | − | 1.60761i | −0.735170 | − | 0.677883i | \(-0.762898\pi\) |
0.368243 | − | 0.929730i | \(-0.379959\pi\) | |||||||
\(878\) | 1.60434e8 | − | 3.33146e8i | 0.237036 | − | 0.492210i | ||||
\(879\) | −1.49789e8 | − | 1.19453e8i | −0.220554 | − | 0.175886i | ||||
\(880\) | 7.25772e8 | − | 5.78784e8i | 1.06501 | − | 0.849315i | ||||
\(881\) | 5.02557e8 | + | 2.42019e8i | 0.734950 | + | 0.353933i | 0.763629 | − | 0.645655i | \(-0.223416\pi\) |
−0.0286788 | + | 0.999589i | \(0.509130\pi\) | |||||||
\(882\) | −2.25448e8 | + | 4.68147e8i | −0.328579 | + | 0.682302i | ||||
\(883\) | 1.08959e8 | + | 1.36630e8i | 0.158264 | + | 0.198456i | 0.854641 | − | 0.519220i | \(-0.173777\pi\) |
−0.696377 | + | 0.717676i | \(0.745206\pi\) | |||||||
\(884\) | −1.67804e8 | + | 2.10420e8i | −0.242910 | + | 0.304600i | ||||
\(885\) | 1.49101e8 | + | 7.18034e7i | 0.215106 | + | 0.103589i | ||||
\(886\) | 1.56504e9 | − | 3.57210e8i | 2.25021 | − | 0.513597i | ||||
\(887\) | −6.60003e7 | + | 1.50641e7i | −0.0945747 | + | 0.0215861i | −0.269546 | − | 0.962987i | \(-0.586874\pi\) |
0.174972 | + | 0.984573i | \(0.444017\pi\) | |||||||
\(888\) | 2.53592e7 | + | 2.02233e7i | 0.0362156 | + | 0.0288810i | ||||
\(889\) | −1.05786e8 | − | 2.19668e8i | −0.150565 | − | 0.312652i | ||||
\(890\) | 7.92292e8 | + | 1.80836e8i | 1.12387 | + | 0.256516i | ||||
\(891\) | 5.19755e7 | − | 2.50301e7i | 0.0734794 | − | 0.0353858i | ||||
\(892\) | −2.14078e8 | + | 1.70721e8i | −0.301632 | + | 0.240543i | ||||
\(893\) | −9.08483e8 | + | 2.07355e8i | −1.27574 | + | 0.291180i | ||||
\(894\) | 3.98996e8 | − | 3.18189e8i | 0.558413 | − | 0.445320i | ||||
\(895\) | 2.68644e8 | − | 1.17700e9i | 0.374720 | − | 1.64176i | ||||
\(896\) | −2.52105e8 | −0.350475 | ||||||||
\(897\) | − | 1.67705e8i | − | 0.232364i | ||||||
\(898\) | −2.12570e8 | + | 9.31328e8i | −0.293543 | + | 1.28610i | ||||
\(899\) | −5.18519e8 | − | 4.13505e8i | −0.713650 | − | 0.569117i | ||||
\(900\) | 2.98033e7 | + | 1.43525e7i | 0.0408825 | + | 0.0196880i | ||||
\(901\) | −6.47741e8 | + | 3.11936e8i | −0.885579 | + | 0.426472i | ||||
\(902\) | 2.31111e9i | 3.14920i | ||||||||
\(903\) | −5.90992e8 | + | 7.82190e7i | −0.802636 | + | 0.106230i | ||||
\(904\) | −9.10685e7 | −0.123272 | ||||||||
\(905\) | 1.21140e8 | + | 2.51549e8i | 0.163433 | + | 0.339373i | ||||
\(906\) | −4.90987e8 | + | 1.01955e9i | −0.660215 | + | 1.37095i | ||||
\(907\) | 2.29711e8 | − | 2.88048e8i | 0.307864 | − | 0.386050i | −0.603697 | − | 0.797214i | \(-0.706306\pi\) |
0.911561 | + | 0.411164i | \(0.134878\pi\) | |||||||
\(908\) | 6.78856e8 | + | 1.54944e8i | 0.906817 | + | 0.206975i | ||||
\(909\) | 7.06189e8 | 0.940220 | ||||||||
\(910\) | 5.88433e8i | 0.780860i | ||||||||
\(911\) | −7.34899e8 | − | 1.67736e8i | −0.972014 | − | 0.221856i | −0.293107 | − | 0.956080i | \(-0.594689\pi\) |
−0.678907 | + | 0.734224i | \(0.737546\pi\) | |||||||
\(912\) | 5.52242e8 | + | 6.92489e8i | 0.728022 | + | 0.912911i | ||||
\(913\) | −3.04179e8 | − | 1.33270e9i | −0.399684 | − | 1.75113i | ||||
\(914\) | −1.07598e9 | − | 1.34924e9i | −1.40918 | − | 1.76706i | ||||
\(915\) | 8.69768e7 | + | 1.80609e8i | 0.113538 | + | 0.235764i | ||||
\(916\) | −1.04794e8 | + | 4.59134e8i | −0.136349 | + | 0.597383i | ||||
\(917\) | −3.41211e8 | + | 1.64319e8i | −0.442502 | + | 0.213098i | ||||
\(918\) | −6.47756e8 | + | 8.12260e8i | −0.837304 | + | 1.04995i | ||||
\(919\) | 2.35757e8 | + | 1.03292e9i | 0.303752 | + | 1.33082i | 0.864415 | + | 0.502780i | \(0.167689\pi\) |
−0.560663 | + | 0.828044i | \(0.689454\pi\) | |||||||
\(920\) | 1.94156e7 | + | 8.50654e7i | 0.0249338 | + | 0.109242i | ||||
\(921\) | 2.42163e8 | − | 5.02856e8i | 0.309976 | − | 0.643672i | ||||
\(922\) | 9.46058e8 | + | 7.54456e8i | 1.20705 | + | 0.962589i | ||||
\(923\) | 3.93300e8 | − | 3.13646e8i | 0.500171 | − | 0.398873i | ||||
\(924\) | 6.81756e8 | + | 3.28316e8i | 0.864197 | + | 0.416176i | ||||
\(925\) | 1.60119e7 | − | 3.32491e7i | 0.0202311 | − | 0.0420103i | ||||
\(926\) | −7.94034e8 | − | 9.95688e8i | −1.00001 | − | 1.25398i | ||||
\(927\) | −2.41129e8 | + | 3.02366e8i | −0.302699 | + | 0.379572i | ||||
\(928\) | −1.62063e9 | − | 7.80452e8i | −2.02786 | − | 0.976568i | ||||
\(929\) | 7.74510e8 | − | 1.76777e8i | 0.966006 | − | 0.220484i | 0.289710 | − | 0.957115i | \(-0.406441\pi\) |
0.676296 | + | 0.736630i | \(0.263584\pi\) | |||||||
\(930\) | 3.43586e8 | − | 7.84212e7i | 0.427156 | − | 0.0974955i | ||||
\(931\) | 9.69021e8 | + | 7.72769e8i | 1.20084 | + | 0.957636i | ||||
\(932\) | −1.71051e8 | − | 3.55191e8i | −0.211289 | − | 0.438747i | ||||
\(933\) | 1.36280e8 | + | 3.11050e7i | 0.167798 | + | 0.0382988i | ||||
\(934\) | −9.20781e8 | + | 4.43425e8i | −1.13010 | + | 0.544226i | ||||
\(935\) | 7.96649e8 | − | 6.35307e8i | 0.974613 | − | 0.777228i | ||||
\(936\) | −2.89223e7 | + | 6.60132e6i | −0.0352699 | + | 0.00805013i | ||||
\(937\) | −5.59425e8 | + | 4.46126e8i | −0.680022 | + | 0.542299i | −0.901453 | − | 0.432877i | \(-0.857499\pi\) |
0.221431 | + | 0.975176i | \(0.428927\pi\) | |||||||
\(938\) | −1.78099e8 | + | 7.80303e8i | −0.215801 | + | 0.945485i | ||||
\(939\) | 4.79266e8 | 0.578868 | ||||||||
\(940\) | 5.23290e8i | 0.630027i | ||||||||
\(941\) | 2.53431e8 | − | 1.11035e9i | 0.304152 | − | 1.33258i | −0.559643 | − | 0.828734i | \(-0.689062\pi\) |
0.863795 | − | 0.503843i | \(-0.168081\pi\) | |||||||
\(942\) | −1.61402e8 | − | 1.28713e8i | −0.193088 | − | 0.153982i | ||||
\(943\) | −1.18834e9 | − | 5.72275e8i | −1.41712 | − | 0.682448i | ||||
\(944\) | 3.43366e8 | − | 1.65356e8i | 0.408170 | − | 0.196564i | ||||
\(945\) | 1.07989e9i | 1.27962i | ||||||||
\(946\) | −2.00486e8 | − | 1.51479e9i | −0.236816 | − | 1.78929i | ||||
\(947\) | 5.73994e8 | 0.675860 | 0.337930 | − | 0.941171i | \(-0.390273\pi\) | ||||
0.337930 | + | 0.941171i | \(0.390273\pi\) | |||||||
\(948\) | −1.08078e8 | − | 2.24426e8i | −0.126856 | − | 0.263420i | ||||
\(949\) | −1.88058e8 | + | 3.90506e8i | −0.220036 | + | 0.456909i | ||||
\(950\) | 1.03481e8 | − | 1.29761e8i | 0.120695 | − | 0.151347i | ||||
\(951\) | −1.71019e8 | − | 3.90340e7i | −0.198840 | − | 0.0453838i | ||||
\(952\) | −1.50779e8 | −0.174755 | ||||||||
\(953\) | 3.16830e8i | 0.366056i | 0.983108 | + | 0.183028i | \(0.0585900\pi\) | ||||
−0.983108 | + | 0.183028i | \(0.941410\pi\) | |||||||
\(954\) | 7.46959e8 | + | 1.70489e8i | 0.860304 | + | 0.196359i | ||||
\(955\) | 3.47376e8 | + | 4.35595e8i | 0.398831 | + | 0.500119i | ||||
\(956\) | 2.59985e8 | + | 1.13907e9i | 0.297560 | + | 1.30370i | ||||
\(957\) | −6.99431e8 | − | 8.77059e8i | −0.798012 | − | 1.00067i | ||||
\(958\) | −3.27739e8 | − | 6.80557e8i | −0.372762 | − | 0.774048i | ||||
\(959\) | 3.73280e7 | − | 1.63545e8i | 0.0423232 | − | 0.185430i | ||||
\(960\) | 3.66694e8 | − | 1.76591e8i | 0.414468 | − | 0.199597i | ||||
\(961\) | −3.82897e8 | + | 4.80137e8i | −0.431431 | + | 0.540998i | ||||
\(962\) | −7.12021e7 | − | 3.11957e8i | −0.0799774 | − | 0.350404i | ||||
\(963\) | −1.74950e7 | − | 7.66506e7i | −0.0195900 | − | 0.0858296i | ||||
\(964\) | −2.35485e8 | + | 4.88989e8i | −0.262864 | + | 0.545843i | ||||
\(965\) | −8.85280e8 | − | 7.05987e8i | −0.985142 | − | 0.785625i | ||||
\(966\) | −7.10186e8 | + | 5.66354e8i | −0.787845 | + | 0.628285i | ||||
\(967\) | −2.85218e8 | − | 1.37354e8i | −0.315426 | − | 0.151901i | 0.269471 | − | 0.963008i | \(-0.413151\pi\) |
−0.584898 | + | 0.811107i | \(0.698865\pi\) | |||||||
\(968\) | 3.61069e7 | − | 7.49767e7i | 0.0398074 | − | 0.0826610i | ||||
\(969\) | 6.06172e8 | + | 7.60115e8i | 0.666230 | + | 0.835426i | ||||
\(970\) | −4.27900e8 | + | 5.36570e8i | −0.468843 | + | 0.587910i | ||||
\(971\) | 5.46924e7 | + | 2.63385e7i | 0.0597405 | + | 0.0287695i | 0.463515 | − | 0.886089i | \(-0.346588\pi\) |
−0.403775 | + | 0.914858i | \(0.632302\pi\) | |||||||
\(972\) | 8.25010e8 | − | 1.88303e8i | 0.898381 | − | 0.205050i | ||||
\(973\) | −8.99004e7 | + | 2.05192e7i | −0.0975940 | + | 0.0222752i | ||||
\(974\) | 1.56968e9 | + | 1.25178e9i | 1.69877 | + | 1.35473i | ||||
\(975\) | −8.03937e6 | − | 1.66939e7i | −0.00867378 | − | 0.0180113i | ||||
\(976\) | 4.50068e8 | + | 1.02725e8i | 0.484093 | + | 0.110491i | ||||
\(977\) | 3.57902e8 | − | 1.72357e8i | 0.383778 | − | 0.184818i | −0.232040 | − | 0.972706i | \(-0.574540\pi\) |
0.615818 | + | 0.787888i | \(0.288826\pi\) | |||||||
\(978\) | 6.24845e7 | − | 4.98297e7i | 0.0667968 | − | 0.0532687i | ||||
\(979\) | 1.03959e9 | − | 2.37279e8i | 1.10793 | − | 0.252878i | ||||
\(980\) | 5.44166e8 | − | 4.33958e8i | 0.578167 | − | 0.461073i | ||||
\(981\) | 5.76745e7 | − | 2.52688e8i | 0.0610909 | − | 0.267657i | ||||
\(982\) | −9.33822e8 | −0.986120 | ||||||||
\(983\) | 1.14803e9i | 1.20862i | 0.796748 | + | 0.604312i | \(0.206552\pi\) | ||||
−0.796748 | + | 0.604312i | \(0.793448\pi\) | |||||||
\(984\) | 2.85007e7 | − | 1.24870e8i | 0.0299137 | − | 0.131061i | ||||
\(985\) | 8.12121e8 | + | 6.47645e8i | 0.849791 | + | 0.677685i | ||||
\(986\) | −1.94712e9 | − | 9.37682e8i | −2.03124 | − | 0.978193i | ||||
\(987\) | 5.07674e8 | − | 2.44483e8i | 0.528000 | − | 0.254271i | ||||
\(988\) | − | 6.84153e8i | − | 0.709385i | ||||||
\(989\) | 8.28532e8 | + | 2.72005e8i | 0.856486 | + | 0.281182i | ||||
\(990\) | −1.08589e9 | −1.11913 | ||||||||
\(991\) | −5.44390e8 | − | 1.13044e9i | −0.559358 | − | 1.16152i | −0.968492 | − | 0.249044i | \(-0.919884\pi\) |
0.409135 | − | 0.912474i | \(-0.365831\pi\) | |||||||
\(992\) | 3.21713e8 | − | 6.68045e8i | 0.329560 | − | 0.684338i | ||||
\(993\) | 5.36508e8 | − | 6.72760e8i | 0.547934 | − | 0.687088i | ||||
\(994\) | −2.65641e9 | − | 6.06309e8i | −2.70481 | − | 0.617354i | ||||
\(995\) | −1.26892e9 | −1.28814 | ||||||||
\(996\) | − | 7.32436e8i | − | 0.741296i | ||||||
\(997\) | −1.69254e9 | − | 3.86312e8i | −1.70787 | − | 0.389810i | −0.746567 | − | 0.665310i | \(-0.768299\pi\) |
−0.961301 | + | 0.275500i | \(0.911157\pi\) | |||||||
\(998\) | −4.38012e8 | − | 5.49249e8i | −0.440650 | − | 0.552558i | ||||
\(999\) | −1.30669e8 | − | 5.72499e8i | −0.131062 | − | 0.574220i |
(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 | 43.7.f.a.2.5 | ✓ | 126 | |
43.22 | odd | 14 | inner | 43.7.f.a.22.5 | yes | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.7.f.a.2.5 | ✓ | 126 | 1.1 | even | 1 | trivial | |
43.7.f.a.22.5 | yes | 126 | 43.22 | odd | 14 | inner |