Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [29,9,Mod(2,29)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(29, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("29.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 29 \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 29.f (of order \(28\), degree \(12\), 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: | \(11.8139796918\) |
Analytic rank: | \(0\) |
Dimension: | \(228\) |
Relative dimension: | \(19\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 2.13 | ||
Character | \(\chi\) | \(=\) | 29.2 |
Dual form | 29.9.f.a.15.13 |
$q$-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 \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{28}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 14.2835 | + | 1.60937i | 0.892721 | + | 0.100585i | 0.546394 | − | 0.837528i | \(-0.316000\pi\) |
0.346327 | + | 0.938114i | \(0.387429\pi\) | |||||||
\(3\) | 128.283 | + | 80.6053i | 1.58374 | + | 0.995127i | 0.980252 | + | 0.197751i | \(0.0633636\pi\) |
0.603483 | + | 0.797376i | \(0.293779\pi\) | |||||||
\(4\) | −48.1524 | − | 10.9905i | −0.188095 | − | 0.0429316i | ||||
\(5\) | −467.828 | + | 373.081i | −0.748525 | + | 0.596929i | −0.921673 | − | 0.387967i | \(-0.873177\pi\) |
0.173148 | + | 0.984896i | \(0.444606\pi\) | |||||||
\(6\) | 1702.60 | + | 1357.78i | 1.31374 | + | 1.04767i | ||||
\(7\) | 469.147 | + | 2055.47i | 0.195396 | + | 0.856088i | 0.973634 | + | 0.228117i | \(0.0732569\pi\) |
−0.778237 | + | 0.627970i | \(0.783886\pi\) | |||||||
\(8\) | −4143.33 | − | 1449.81i | −1.01155 | − | 0.353958i | ||||
\(9\) | 7112.49 | + | 14769.2i | 1.08406 | + | 2.25107i | ||||
\(10\) | −7282.66 | + | 4576.00i | −0.728266 | + | 0.457600i | ||||
\(11\) | 3281.42 | − | 1148.22i | 0.224125 | − | 0.0784248i | −0.215880 | − | 0.976420i | \(-0.569262\pi\) |
0.440006 | + | 0.897995i | \(0.354976\pi\) | |||||||
\(12\) | −5291.23 | − | 5291.23i | −0.255171 | − | 0.255171i | ||||
\(13\) | 15354.5 | − | 31883.9i | 0.537602 | − | 1.11634i | −0.438440 | − | 0.898761i | \(-0.644469\pi\) |
0.976042 | − | 0.217582i | \(-0.0698170\pi\) | |||||||
\(14\) | 3393.07 | + | 30114.3i | 0.0883244 | + | 0.783901i | ||||
\(15\) | −90086.4 | + | 10150.3i | −1.77949 | + | 0.200500i | ||||
\(16\) | −45456.1 | − | 21890.5i | −0.693606 | − | 0.334023i | ||||
\(17\) | 58865.3 | − | 58865.3i | 0.704797 | − | 0.704797i | −0.260639 | − | 0.965436i | \(-0.583933\pi\) |
0.965436 | + | 0.260639i | \(0.0839334\pi\) | |||||||
\(18\) | 77822.3 | + | 222403.i | 0.741334 | + | 2.11861i | ||||
\(19\) | 104673. | + | 166586.i | 0.803192 | + | 1.27827i | 0.956976 | + | 0.290168i | \(0.0937112\pi\) |
−0.153784 | + | 0.988105i | \(0.549146\pi\) | |||||||
\(20\) | 26627.4 | − | 12823.1i | 0.166421 | − | 0.0801442i | ||||
\(21\) | −105498. | + | 301496.i | −0.542459 | + | 1.55026i | ||||
\(22\) | 48718.1 | − | 11119.6i | 0.207970 | − | 0.0474677i | ||||
\(23\) | 105113. | − | 131807.i | 0.375615 | − | 0.471007i | −0.557711 | − | 0.830035i | \(-0.688320\pi\) |
0.933327 | + | 0.359028i | \(0.116892\pi\) | |||||||
\(24\) | −414654. | − | 519959.i | −1.24980 | − | 1.56720i | ||||
\(25\) | −7248.12 | + | 31756.1i | −0.0185552 | + | 0.0812956i | ||||
\(26\) | 270629. | − | 430703.i | 0.592216 | − | 0.942507i | ||||
\(27\) | −166775. | + | 1.48017e6i | −0.313817 | + | 2.78520i | ||||
\(28\) | − | 104132.i | − | 0.169415i | ||||||
\(29\) | 462133. | − | 535424.i | 0.653394 | − | 0.757018i | ||||
\(30\) | −1.30309e6 | −1.60875 | ||||||||
\(31\) | 114780. | + | 12932.5i | 0.124285 | + | 0.0140035i | 0.173888 | − | 0.984765i | \(-0.444367\pi\) |
−0.0496030 | + | 0.998769i | \(0.515796\pi\) | |||||||
\(32\) | 337464. | + | 212043.i | 0.321831 | + | 0.202220i | ||||
\(33\) | 513501. | + | 117203.i | 0.432998 | + | 0.0988289i | ||||
\(34\) | 935540. | − | 746069.i | 0.700079 | − | 0.558294i | ||||
\(35\) | −986334. | − | 786575.i | −0.657282 | − | 0.524165i | ||||
\(36\) | −180163. | − | 789344.i | −0.107264 | − | 0.469955i | ||||
\(37\) | −2.78593e6 | − | 974840.i | −1.48650 | − | 0.520147i | −0.539665 | − | 0.841880i | \(-0.681449\pi\) |
−0.946831 | + | 0.321733i | \(0.895735\pi\) | |||||||
\(38\) | 1.22700e6 | + | 2.54789e6i | 0.588450 | + | 1.22193i | ||||
\(39\) | 4.53972e6 | − | 2.85249e6i | 1.96232 | − | 1.23301i | ||||
\(40\) | 2.47926e6 | − | 867531.i | 0.968461 | − | 0.338879i | ||||
\(41\) | 1.13415e6 | + | 1.13415e6i | 0.401359 | + | 0.401359i | 0.878712 | − | 0.477353i | \(-0.158404\pi\) |
−0.477353 | + | 0.878712i | \(0.658404\pi\) | |||||||
\(42\) | −1.99210e6 | + | 4.13664e6i | −0.640198 | + | 1.32939i | ||||
\(43\) | −456696. | − | 4.05329e6i | −0.133584 | − | 1.18559i | −0.864325 | − | 0.502933i | \(-0.832254\pi\) |
0.730742 | − | 0.682654i | \(-0.239174\pi\) | |||||||
\(44\) | −170628. | + | 19225.1i | −0.0455239 | + | 0.00512931i | ||||
\(45\) | −8.83754e6 | − | 4.25593e6i | −2.15517 | − | 1.03787i | ||||
\(46\) | 1.71350e6 | − | 1.71350e6i | 0.382696 | − | 0.382696i | ||||
\(47\) | −314564. | − | 898972.i | −0.0644640 | − | 0.184228i | 0.907146 | − | 0.420816i | \(-0.138256\pi\) |
−0.971610 | + | 0.236589i | \(0.923971\pi\) | |||||||
\(48\) | −4.06674e6 | − | 6.47218e6i | −0.766093 | − | 1.21923i | ||||
\(49\) | 1.18906e6 | − | 572623.i | 0.206263 | − | 0.0993309i | ||||
\(50\) | −154636. | + | 441924.i | −0.0247417 | + | 0.0707078i | ||||
\(51\) | 1.22962e7 | − | 2.80654e6i | 1.81757 | − | 0.414849i | ||||
\(52\) | −1.08977e6 | + | 1.36653e6i | −0.149047 | + | 0.186899i | ||||
\(53\) | −709359. | − | 889508.i | −0.0899006 | − | 0.112732i | 0.734847 | − | 0.678233i | \(-0.237254\pi\) |
−0.824747 | + | 0.565501i | \(0.808683\pi\) | |||||||
\(54\) | −4.76427e6 | + | 2.08736e7i | −0.560301 | + | 2.45484i | ||||
\(55\) | −1.10676e6 | + | 1.76140e6i | −0.120949 | + | 0.192490i | ||||
\(56\) | 1.03621e6 | − | 9.19664e6i | 0.105365 | − | 0.935141i | ||||
\(57\) | 2.98072e7i | 2.82372i | ||||||||
\(58\) | 7.46259e6 | − | 6.90400e6i | 0.659444 | − | 0.610083i | ||||
\(59\) | −1.88666e7 | −1.55699 | −0.778496 | − | 0.627649i | \(-0.784017\pi\) | ||||
−0.778496 | + | 0.627649i | \(0.784017\pi\) | |||||||
\(60\) | 4.44944e6 | + | 501331.i | 0.343321 | + | 0.0386830i | ||||
\(61\) | 1.83853e7 | + | 1.15522e7i | 1.32786 | + | 0.834348i | 0.994116 | − | 0.108317i | \(-0.0345463\pi\) |
0.333740 | + | 0.942665i | \(0.391689\pi\) | |||||||
\(62\) | 1.61864e6 | + | 369445.i | 0.109543 | + | 0.0250025i | ||||
\(63\) | −2.70209e7 | + | 2.15484e7i | −1.71529 | + | 1.36790i | ||||
\(64\) | 1.45769e7 | + | 1.16247e7i | 0.868853 | + | 0.692887i | ||||
\(65\) | 4.71200e6 | + | 2.06446e7i | 0.263968 | + | 1.15652i | ||||
\(66\) | 7.14599e6 | + | 2.50049e6i | 0.376605 | + | 0.131780i | ||||
\(67\) | −5.31041e6 | − | 1.10272e7i | −0.263529 | − | 0.547224i | 0.726653 | − | 0.687004i | \(-0.241075\pi\) |
−0.990183 | + | 0.139780i | \(0.955360\pi\) | |||||||
\(68\) | −3.48147e6 | + | 2.18755e6i | −0.162827 | + | 0.102311i | ||||
\(69\) | 2.41085e7 | − | 8.43591e6i | 1.06359 | − | 0.372165i | ||||
\(70\) | −1.28224e7 | − | 1.28224e7i | −0.534046 | − | 0.534046i | ||||
\(71\) | 1.42714e7 | − | 2.96348e7i | 0.561607 | − | 1.16619i | −0.406034 | − | 0.913858i | \(-0.633089\pi\) |
0.967641 | − | 0.252331i | \(-0.0811971\pi\) | |||||||
\(72\) | −8.05674e6 | − | 7.15055e7i | −0.299798 | − | 2.66078i | ||||
\(73\) | −4.13546e7 | + | 4.65955e6i | −1.45624 | + | 0.164079i | −0.804314 | − | 0.594204i | \(-0.797467\pi\) |
−0.651925 | + | 0.758283i | \(0.726038\pi\) | |||||||
\(74\) | −3.82241e7 | − | 1.84077e7i | −1.27471 | − | 0.613866i | ||||
\(75\) | −3.48951e6 | + | 3.48951e6i | −0.110286 | + | 0.110286i | ||||
\(76\) | −3.20939e6 | − | 9.17191e6i | −0.0961985 | − | 0.274920i | ||||
\(77\) | 3.89959e6 | + | 6.20616e6i | 0.110932 | + | 0.176547i | ||||
\(78\) | 6.94339e7 | − | 3.34376e7i | 1.87583 | − | 0.903351i | ||||
\(79\) | 1.64623e7 | − | 4.70466e7i | 0.422652 | − | 1.20787i | −0.514056 | − | 0.857757i | \(-0.671857\pi\) |
0.936707 | − | 0.350113i | \(-0.113857\pi\) | |||||||
\(80\) | 2.94326e7 | − | 6.71780e6i | 0.718569 | − | 0.164009i | ||||
\(81\) | −7.36461e7 | + | 9.23493e7i | −1.71084 | + | 2.14533i | ||||
\(82\) | 1.43743e7 | + | 1.80249e7i | 0.317931 | + | 0.398673i | ||||
\(83\) | −1.46101e7 | + | 6.40111e7i | −0.307852 | + | 1.34879i | 0.550119 | + | 0.835086i | \(0.314582\pi\) |
−0.857970 | + | 0.513699i | \(0.828275\pi\) | |||||||
\(84\) | 8.39357e6 | − | 1.33583e7i | 0.168589 | − | 0.268308i | ||||
\(85\) | −5.57735e6 | + | 4.95004e7i | −0.106845 | + | 0.948271i | ||||
\(86\) | − | 5.86302e7i | − | 1.07183i | ||||||
\(87\) | 1.02442e8 | − | 3.14352e7i | 1.78813 | − | 0.548705i | ||||
\(88\) | −1.52607e7 | −0.254474 | ||||||||
\(89\) | 2.17945e7 | + | 2.45566e6i | 0.347366 | + | 0.0391388i | 0.283924 | − | 0.958847i | \(-0.408364\pi\) |
0.0634422 | + | 0.997986i | \(0.479792\pi\) | |||||||
\(90\) | −1.19382e8 | − | 7.50126e7i | −1.81957 | − | 1.14331i | ||||
\(91\) | 7.27397e7 | + | 1.66024e7i | 1.06073 | + | 0.242105i | ||||
\(92\) | −6.51005e6 | + | 5.19159e6i | −0.0908726 | + | 0.0724685i | ||||
\(93\) | 1.36818e7 | + | 1.09109e7i | 0.182899 | + | 0.145857i | ||||
\(94\) | −3.04631e6 | − | 1.33467e7i | −0.0390177 | − | 0.170948i | ||||
\(95\) | −1.11119e8 | − | 3.88821e7i | −1.36425 | − | 0.477371i | ||||
\(96\) | 2.61990e7 | + | 5.44028e7i | 0.308461 | + | 0.640525i | ||||
\(97\) | 6.50103e6 | − | 4.08487e6i | 0.0734336 | − | 0.0461414i | −0.494815 | − | 0.868998i | \(-0.664764\pi\) |
0.568248 | + | 0.822857i | \(0.307621\pi\) | |||||||
\(98\) | 1.79056e7 | − | 6.26543e6i | 0.194126 | − | 0.0679277i | ||||
\(99\) | 4.02974e7 | + | 4.02974e7i | 0.419504 | + | 0.419504i | ||||
\(100\) | 698029. | − | 1.44947e6i | 0.00698029 | − | 0.0144947i | ||||
\(101\) | 1.24626e7 | + | 1.10608e8i | 0.119763 | + | 1.06292i | 0.899531 | + | 0.436856i | \(0.143908\pi\) |
−0.779768 | + | 0.626068i | \(0.784663\pi\) | |||||||
\(102\) | 1.80151e8 | − | 2.02981e7i | 1.66431 | − | 0.187523i | ||||
\(103\) | −2.74358e7 | − | 1.32124e7i | −0.243763 | − | 0.117390i | 0.308014 | − | 0.951382i | \(-0.400336\pi\) |
−0.551777 | + | 0.833992i | \(0.686050\pi\) | |||||||
\(104\) | −1.09844e8 | + | 1.09844e8i | −0.938952 | + | 0.938952i | ||||
\(105\) | −6.31274e7 | − | 1.80408e8i | −0.519350 | − | 1.48422i | ||||
\(106\) | −8.70060e6 | − | 1.38469e7i | −0.0689169 | − | 0.109681i | ||||
\(107\) | 2.88494e7 | − | 1.38932e7i | 0.220091 | − | 0.105990i | −0.320590 | − | 0.947218i | \(-0.603881\pi\) |
0.540681 | + | 0.841228i | \(0.318167\pi\) | |||||||
\(108\) | 2.42984e7 | − | 6.94408e7i | 0.178600 | − | 0.510411i | ||||
\(109\) | −1.41888e8 | + | 3.23850e7i | −1.00517 | + | 0.229424i | −0.693260 | − | 0.720688i | \(-0.743826\pi\) |
−0.311911 | + | 0.950111i | \(0.600969\pi\) | |||||||
\(110\) | −1.86432e7 | + | 2.33779e7i | −0.127336 | + | 0.159674i | ||||
\(111\) | −2.78809e8 | − | 3.49616e8i | −1.83660 | − | 2.30303i | ||||
\(112\) | 2.36696e7 | − | 1.03703e8i | 0.150425 | − | 0.659054i | ||||
\(113\) | −2.52167e7 | + | 4.01321e7i | −0.154659 | + | 0.246138i | −0.915062 | − | 0.403313i | \(-0.867858\pi\) |
0.760403 | + | 0.649451i | \(0.225001\pi\) | |||||||
\(114\) | −4.79708e7 | + | 4.25752e8i | −0.284025 | + | 2.52080i | ||||
\(115\) | 1.00879e8i | 0.576776i | ||||||||
\(116\) | −2.81374e7 | + | 2.07029e7i | −0.155400 | + | 0.114340i | ||||
\(117\) | 5.80109e8 | 3.09575 | ||||||||
\(118\) | −2.69482e8 | − | 3.03633e7i | −1.38996 | − | 0.156611i | ||||
\(119\) | 1.48612e8 | + | 9.33792e7i | 0.741082 | + | 0.465653i | ||||
\(120\) | 3.87973e8 | + | 8.85524e7i | 1.87101 | + | 0.427047i | ||||
\(121\) | −1.58143e8 | + | 1.26115e8i | −0.737750 | + | 0.588336i | ||||
\(122\) | 2.44015e8 | + | 1.94596e8i | 1.10148 | + | 0.878402i | ||||
\(123\) | 5.40730e7 | + | 2.36909e8i | 0.236243 | + | 1.03505i | ||||
\(124\) | −5.38478e6 | − | 1.88422e6i | −0.0227762 | − | 0.00796973i | ||||
\(125\) | −1.09873e8 | − | 2.28153e8i | −0.450039 | − | 0.934515i | ||||
\(126\) | −4.20633e8 | + | 2.64301e8i | −1.66886 | + | 1.04862i | ||||
\(127\) | −2.09567e8 | + | 7.33308e7i | −0.805580 | + | 0.281885i | −0.701487 | − | 0.712683i | \(-0.747480\pi\) |
−0.104094 | + | 0.994567i | \(0.533194\pi\) | |||||||
\(128\) | 1.17356e8 | + | 1.17356e8i | 0.437185 | + | 0.437185i | ||||
\(129\) | 2.68130e8 | − | 5.56778e8i | 0.968249 | − | 2.01059i | ||||
\(130\) | 3.40792e7 | + | 3.02461e8i | 0.119321 | + | 1.05900i | ||||
\(131\) | 2.20725e8 | − | 2.48697e7i | 0.749490 | − | 0.0844473i | 0.271047 | − | 0.962566i | \(-0.412630\pi\) |
0.478443 | + | 0.878119i | \(0.341201\pi\) | |||||||
\(132\) | −2.34382e7 | − | 1.12872e7i | −0.0772020 | − | 0.0371785i | ||||
\(133\) | −2.93304e8 | + | 2.93304e8i | −0.937372 | + | 0.937372i | ||||
\(134\) | −5.81046e7 | − | 1.66053e8i | −0.180215 | − | 0.515025i | ||||
\(135\) | −4.74200e8 | − | 7.54685e8i | −1.42767 | − | 2.27212i | ||||
\(136\) | −3.29242e8 | + | 1.58555e8i | −0.962409 | + | 0.463472i | ||||
\(137\) | −2.34370e7 | + | 6.69791e7i | −0.0665303 | + | 0.190133i | −0.972349 | − | 0.233533i | \(-0.924971\pi\) |
0.905819 | + | 0.423666i | \(0.139257\pi\) | |||||||
\(138\) | 3.57930e8 | − | 8.16952e7i | 0.986920 | − | 0.225258i | ||||
\(139\) | 8.00984e7 | − | 1.00440e8i | 0.214568 | − | 0.269060i | −0.662886 | − | 0.748720i | \(-0.730669\pi\) |
0.877454 | + | 0.479660i | \(0.159240\pi\) | |||||||
\(140\) | 3.88496e7 | + | 4.87158e7i | 0.101129 | + | 0.126811i | ||||
\(141\) | 3.21088e7 | − | 1.40678e8i | 0.0812358 | − | 0.355917i | ||||
\(142\) | 2.51539e8 | − | 4.00322e8i | 0.618660 | − | 0.984591i | ||||
\(143\) | 1.37748e7 | − | 1.22255e8i | 0.0329413 | − | 0.292362i | ||||
\(144\) | − | 8.27049e8i | − | 1.92345i | ||||||
\(145\) | −1.64427e7 | + | 4.22900e8i | −0.0371964 | + | 0.956677i | ||||
\(146\) | −5.98189e8 | −1.31652 | ||||||||
\(147\) | 1.98693e8 | + | 2.23873e7i | 0.425512 | + | 0.0479437i | ||||
\(148\) | 1.23435e8 | + | 7.75596e7i | 0.257272 | + | 0.161655i | ||||
\(149\) | 2.96555e8 | + | 6.76866e7i | 0.601672 | + | 0.137328i | 0.512498 | − | 0.858688i | \(-0.328720\pi\) |
0.0891737 | + | 0.996016i | \(0.471577\pi\) | |||||||
\(150\) | −5.54585e7 | + | 4.42267e7i | −0.109548 | + | 0.0873613i | ||||
\(151\) | −3.62936e8 | − | 2.89432e8i | −0.698107 | − | 0.556722i | 0.208848 | − | 0.977948i | \(-0.433028\pi\) |
−0.906956 | + | 0.421226i | \(0.861600\pi\) | |||||||
\(152\) | −1.92175e8 | − | 8.41975e8i | −0.360017 | − | 1.57734i | ||||
\(153\) | 1.28808e9 | + | 4.50717e8i | 2.35058 | + | 0.822504i | ||||
\(154\) | 4.57119e7 | + | 9.49218e7i | 0.0812730 | + | 0.168765i | ||||
\(155\) | −5.85220e7 | + | 3.67718e7i | −0.101389 | + | 0.0637071i | ||||
\(156\) | −2.49949e8 | + | 8.74608e7i | −0.422039 | + | 0.147678i | ||||
\(157\) | 4.65485e8 | + | 4.65485e8i | 0.766138 | + | 0.766138i | 0.977424 | − | 0.211286i | \(-0.0677652\pi\) |
−0.211286 | + | 0.977424i | \(0.567765\pi\) | |||||||
\(158\) | 3.10855e8 | − | 6.45498e8i | 0.498804 | − | 1.03578i | ||||
\(159\) | −1.92993e7 | − | 1.71286e8i | −0.0301963 | − | 0.268000i | ||||
\(160\) | −2.36984e8 | + | 2.67017e7i | −0.361609 | + | 0.0407436i | ||||
\(161\) | 3.20238e8 | + | 1.54219e8i | 0.476617 | + | 0.229527i | ||||
\(162\) | −1.20055e9 | + | 1.20055e9i | −1.74309 | + | 1.74309i | ||||
\(163\) | −3.95264e8 | − | 1.12960e9i | −0.559933 | − | 1.60020i | −0.780724 | − | 0.624876i | \(-0.785149\pi\) |
0.220790 | − | 0.975321i | \(-0.429136\pi\) | |||||||
\(164\) | −4.21471e7 | − | 6.70767e7i | −0.0582629 | − | 0.0927248i | ||||
\(165\) | −2.83957e8 | + | 1.36746e8i | −0.383104 | + | 0.184493i | ||||
\(166\) | −3.11701e8 | + | 8.90791e8i | −0.410494 | + | 1.17312i | ||||
\(167\) | 1.35676e9 | − | 3.09671e8i | 1.74436 | − | 0.398139i | 0.772748 | − | 0.634713i | \(-0.218882\pi\) |
0.971613 | + | 0.236574i | \(0.0760246\pi\) | |||||||
\(168\) | 8.74226e8 | − | 1.09624e9i | 1.09745 | − | 1.37616i | ||||
\(169\) | −2.72221e8 | − | 3.41355e8i | −0.333715 | − | 0.418465i | ||||
\(170\) | −1.59329e8 | + | 6.98064e8i | −0.190765 | + | 0.835794i | ||||
\(171\) | −1.71586e9 | + | 2.73078e9i | −2.00677 | + | 3.19376i | ||||
\(172\) | −2.25566e7 | + | 2.00195e8i | −0.0257726 | + | 0.228739i | ||||
\(173\) | − | 7.43654e8i | − | 0.830208i | −0.909774 | − | 0.415104i | \(-0.863745\pi\) | ||
0.909774 | − | 0.415104i | \(-0.136255\pi\) | |||||||
\(174\) | 1.51382e9 | − | 2.84139e8i | 1.65149 | − | 0.309980i | ||||
\(175\) | −6.86740e7 | −0.0732217 | ||||||||
\(176\) | −1.74296e8 | − | 1.96384e7i | −0.181650 | − | 0.0204671i | ||||
\(177\) | −2.42026e9 | − | 1.52075e9i | −2.46586 | − | 1.54940i | ||||
\(178\) | 3.07351e8 | + | 7.01509e7i | 0.306164 | + | 0.0698800i | ||||
\(179\) | 1.60794e8 | − | 1.28229e8i | 0.156624 | − | 0.124904i | −0.542042 | − | 0.840351i | \(-0.682349\pi\) |
0.698666 | + | 0.715448i | \(0.253777\pi\) | |||||||
\(180\) | 3.78774e8 | + | 3.02062e8i | 0.360820 | + | 0.287744i | ||||
\(181\) | −4.91802e7 | − | 2.15473e8i | −0.0458222 | − | 0.200760i | 0.946835 | − | 0.321718i | \(-0.104260\pi\) |
−0.992658 | + | 0.120958i | \(0.961403\pi\) | |||||||
\(182\) | 1.01226e9 | + | 3.54205e8i | 0.922585 | + | 0.322827i | ||||
\(183\) | 1.42734e9 | + | 2.96390e9i | 1.27269 | + | 2.64277i | ||||
\(184\) | −6.26611e8 | + | 3.93726e8i | −0.546672 | + | 0.343497i | ||||
\(185\) | 1.66703e9 | − | 5.83319e8i | 1.42317 | − | 0.497989i | ||||
\(186\) | 1.77864e8 | + | 1.77864e8i | 0.148606 | + | 0.148606i | ||||
\(187\) | 1.25572e8 | − | 2.60752e8i | 0.102689 | − | 0.213236i | ||||
\(188\) | 5.26688e6 | + | 4.67449e7i | 0.00421621 | + | 0.0374199i | ||||
\(189\) | −3.12068e9 | + | 3.51616e8i | −2.44569 | + | 0.275563i | ||||
\(190\) | −1.52459e9 | − | 7.34205e8i | −1.16987 | − | 0.563382i | ||||
\(191\) | 6.63169e8 | − | 6.63169e8i | 0.498300 | − | 0.498300i | −0.412609 | − | 0.910908i | \(-0.635382\pi\) |
0.910908 | + | 0.412609i | \(0.135382\pi\) | |||||||
\(192\) | 9.32953e8 | + | 2.66623e9i | 0.686523 | + | 1.96197i | ||||
\(193\) | −1.30206e9 | − | 2.07221e9i | −0.938428 | − | 1.49350i | −0.868347 | − | 0.495958i | \(-0.834817\pi\) |
−0.0700813 | − | 0.997541i | \(-0.522326\pi\) | |||||||
\(194\) | 9.94316e7 | − | 4.78837e7i | 0.0701969 | − | 0.0338050i | ||||
\(195\) | −1.05960e9 | + | 3.02816e9i | −0.732829 | + | 2.09430i | ||||
\(196\) | −6.35497e7 | + | 1.45048e7i | −0.0430615 | + | 0.00982851i | ||||
\(197\) | 1.27057e9 | − | 1.59325e9i | 0.843596 | − | 1.05784i | −0.153967 | − | 0.988076i | \(-0.549205\pi\) |
0.997564 | − | 0.0697604i | \(-0.0222235\pi\) | |||||||
\(198\) | 5.10735e8 | + | 6.40442e8i | 0.332304 | + | 0.416696i | ||||
\(199\) | −7.52161e7 | + | 3.29543e8i | −0.0479621 | + | 0.210136i | −0.993231 | − | 0.116157i | \(-0.962942\pi\) |
0.945269 | + | 0.326293i | \(0.105800\pi\) | |||||||
\(200\) | 7.60717e7 | − | 1.21067e8i | 0.0475448 | − | 0.0756671i | ||||
\(201\) | 2.07616e8 | − | 1.84264e9i | 0.127197 | − | 1.12890i | ||||
\(202\) | 1.59993e9i | 0.960941i | ||||||||
\(203\) | 1.31735e9 | + | 6.98707e8i | 0.775744 | + | 0.411444i | ||||
\(204\) | −6.22940e8 | −0.359687 | ||||||||
\(205\) | −9.53713e8 | − | 1.07458e8i | −0.540010 | − | 0.0608446i | ||||
\(206\) | −3.70616e8 | − | 2.32874e8i | −0.205805 | − | 0.129316i | ||||
\(207\) | 2.69430e9 | + | 6.14957e8i | 1.46746 | + | 0.334937i | ||||
\(208\) | −1.39591e9 | + | 1.11320e9i | −0.745768 | + | 0.594730i | ||||
\(209\) | 5.34752e8 | + | 4.26450e8i | 0.280264 | + | 0.223503i | ||||
\(210\) | −6.11339e8 | − | 2.67845e9i | −0.314344 | − | 1.37723i | ||||
\(211\) | 1.06297e9 | + | 3.71950e8i | 0.536281 | + | 0.187653i | 0.584812 | − | 0.811169i | \(-0.301168\pi\) |
−0.0485312 | + | 0.998822i | \(0.515454\pi\) | |||||||
\(212\) | 2.43812e7 | + | 5.06281e7i | 0.0120701 | + | 0.0250639i | ||||
\(213\) | 4.21949e9 | − | 2.65128e9i | 2.04994 | − | 1.28806i | ||||
\(214\) | 4.34431e8 | − | 1.52014e8i | 0.207141 | − | 0.0724817i | ||||
\(215\) | 1.72586e9 | + | 1.72586e9i | 0.807702 | + | 0.807702i | ||||
\(216\) | 2.83697e9 | − | 5.89103e9i | 1.30329 | − | 2.70630i | ||||
\(217\) | 2.72660e7 | + | 2.41993e8i | 0.0122965 | + | 0.109135i | ||||
\(218\) | −2.07878e9 | + | 2.34222e8i | −0.920413 | + | 0.103706i | ||||
\(219\) | −5.68066e9 | − | 2.73566e9i | −2.46958 | − | 1.18929i | ||||
\(220\) | 7.26520e7 | − | 7.26520e7i | 0.0310139 | − | 0.0310139i | ||||
\(221\) | −9.73009e8 | − | 2.78070e9i | −0.407894 | − | 1.16569i | ||||
\(222\) | −3.41972e9 | − | 5.44245e9i | −1.40792 | − | 2.24069i | ||||
\(223\) | −3.11770e9 | + | 1.50140e9i | −1.26071 | + | 0.607125i | −0.940362 | − | 0.340176i | \(-0.889513\pi\) |
−0.320346 | + | 0.947301i | \(0.603799\pi\) | |||||||
\(224\) | −2.77527e8 | + | 7.93126e8i | −0.110233 | + | 0.315029i | ||||
\(225\) | −5.20565e8 | + | 1.18816e8i | −0.203116 | + | 0.0463600i | ||||
\(226\) | −4.24770e8 | + | 5.32645e8i | −0.162825 | + | 0.204176i | ||||
\(227\) | −5.57710e8 | − | 6.99347e8i | −0.210042 | − | 0.263384i | 0.665640 | − | 0.746273i | \(-0.268159\pi\) |
−0.875681 | + | 0.482889i | \(0.839587\pi\) | |||||||
\(228\) | 3.27596e8 | − | 1.43529e9i | 0.121227 | − | 0.531129i | ||||
\(229\) | −5.74269e8 | + | 9.13944e8i | −0.208821 | + | 0.332336i | −0.934669 | − | 0.355518i | \(-0.884304\pi\) |
0.725849 | + | 0.687854i | \(0.241447\pi\) | |||||||
\(230\) | −1.62351e8 | + | 1.44090e9i | −0.0580153 | + | 0.514900i | ||||
\(231\) | 1.11047e9i | 0.389995i | ||||||||
\(232\) | −2.69103e9 | + | 1.54843e9i | −0.928896 | + | 0.534490i | ||||
\(233\) | −1.59224e9 | −0.540237 | −0.270119 | − | 0.962827i | \(-0.587063\pi\) | ||||
−0.270119 | + | 0.962827i | \(0.587063\pi\) | |||||||
\(234\) | 8.28600e9 | + | 9.33608e8i | 2.76364 | + | 0.311387i | ||||
\(235\) | 4.82551e8 | + | 3.03207e8i | 0.158224 | + | 0.0994185i | ||||
\(236\) | 9.08475e8 | + | 2.07353e8i | 0.292863 | + | 0.0668441i | ||||
\(237\) | 5.90404e9 | − | 4.70831e9i | 1.87135 | − | 1.49235i | ||||
\(238\) | 1.97242e9 | + | 1.57296e9i | 0.614742 | + | 0.490240i | ||||
\(239\) | 4.34614e8 | + | 1.90417e9i | 0.133202 | + | 0.583598i | 0.996837 | + | 0.0794786i | \(0.0253255\pi\) |
−0.863634 | + | 0.504119i | \(0.831817\pi\) | |||||||
\(240\) | 4.31718e9 | + | 1.51065e9i | 1.30123 | + | 0.455321i | ||||
\(241\) | 1.58563e9 | + | 3.29259e9i | 0.470039 | + | 0.976046i | 0.992369 | + | 0.123302i | \(0.0393485\pi\) |
−0.522330 | + | 0.852743i | \(0.674937\pi\) | |||||||
\(242\) | −2.46181e9 | + | 1.54686e9i | −0.717782 | + | 0.451013i | ||||
\(243\) | −7.66694e9 | + | 2.68278e9i | −2.19886 | + | 0.769413i | ||||
\(244\) | −7.58332e8 | − | 7.58332e8i | −0.213944 | − | 0.213944i | ||||
\(245\) | −3.42643e8 | + | 7.11506e8i | −0.0950993 | + | 0.197476i | ||||
\(246\) | 3.91079e8 | + | 3.47092e9i | 0.106788 | + | 0.947773i | ||||
\(247\) | 6.91859e9 | − | 7.79538e8i | 1.85879 | − | 0.209435i | ||||
\(248\) | −4.56819e8 | − | 2.19993e8i | −0.120764 | − | 0.0581569i | ||||
\(249\) | −7.03385e9 | + | 7.03385e9i | −1.82977 | + | 1.82977i | ||||
\(250\) | −1.20219e9 | − | 3.43566e9i | −0.307760 | − | 0.879528i | ||||
\(251\) | 1.69549e9 | + | 2.69835e9i | 0.427168 | + | 0.679835i | 0.989083 | − | 0.147361i | \(-0.0470778\pi\) |
−0.561914 | + | 0.827195i | \(0.689935\pi\) | |||||||
\(252\) | 1.53795e9 | − | 7.40637e8i | 0.381364 | − | 0.183655i | ||||
\(253\) | 1.93575e8 | − | 5.53206e8i | 0.0472463 | − | 0.135022i | ||||
\(254\) | −3.11138e9 | + | 7.10152e8i | −0.747512 | + | 0.170615i | ||||
\(255\) | −4.70547e9 | + | 5.90047e9i | −1.11286 | + | 1.39549i | ||||
\(256\) | −1.48854e9 | − | 1.86657e9i | −0.346578 | − | 0.434595i | ||||
\(257\) | 1.83763e8 | − | 8.05120e8i | 0.0421237 | − | 0.184556i | −0.949489 | − | 0.313800i | \(-0.898398\pi\) |
0.991613 | + | 0.129244i | \(0.0412550\pi\) | |||||||
\(258\) | 4.72591e9 | − | 7.52124e9i | 1.06661 | − | 1.69750i | ||||
\(259\) | 6.96739e8 | − | 6.18373e9i | 0.154836 | − | 1.37421i | ||||
\(260\) | − | 1.04588e9i | − | 0.228869i | ||||||
\(261\) | 1.11947e10 | + | 3.01716e9i | 2.41241 | + | 0.650184i | ||||
\(262\) | 3.19275e9 | 0.677579 | ||||||||
\(263\) | −7.62164e9 | − | 8.58753e8i | −1.59304 | − | 0.179492i | −0.729572 | − | 0.683904i | \(-0.760281\pi\) |
−0.863463 | + | 0.504412i | \(0.831709\pi\) | |||||||
\(264\) | −1.95768e9 | − | 1.23009e9i | −0.403019 | − | 0.253234i | ||||
\(265\) | 6.63716e8 | + | 1.51489e8i | 0.134586 | + | 0.0307183i | ||||
\(266\) | −4.66146e9 | + | 3.71739e9i | −0.931098 | + | 0.742526i | ||||
\(267\) | 2.59792e9 | + | 2.07177e9i | 0.511188 | + | 0.407659i | ||||
\(268\) | 1.34515e8 | + | 5.89349e8i | 0.0260754 | + | 0.114244i | ||||
\(269\) | −5.08748e9 | − | 1.78019e9i | −0.971614 | − | 0.339983i | −0.202634 | − | 0.979255i | \(-0.564950\pi\) |
−0.768981 | + | 0.639272i | \(0.779236\pi\) | |||||||
\(270\) | −5.55868e9 | − | 1.15427e10i | −1.04596 | − | 2.17197i | ||||
\(271\) | −2.82728e9 | + | 1.77650e9i | −0.524194 | + | 0.329373i | −0.767999 | − | 0.640452i | \(-0.778747\pi\) |
0.243805 | + | 0.969824i | \(0.421604\pi\) | |||||||
\(272\) | −3.96438e9 | + | 1.38720e9i | −0.724269 | + | 0.253433i | ||||
\(273\) | 7.99300e9 | + | 7.99300e9i | 1.43899 | + | 1.43899i | ||||
\(274\) | −4.42557e8 | + | 9.18979e8i | −0.0785176 | + | 0.163043i | ||||
\(275\) | 1.26788e7 | + | 1.12527e8i | 0.00221691 | + | 0.0196756i | ||||
\(276\) | −1.25360e9 | + | 1.41246e8i | −0.216033 | + | 0.0243411i | ||||
\(277\) | 2.10204e9 | + | 1.01229e9i | 0.357044 | + | 0.171943i | 0.603803 | − | 0.797134i | \(-0.293651\pi\) |
−0.246759 | + | 0.969077i | \(0.579366\pi\) | |||||||
\(278\) | 1.30573e9 | − | 1.30573e9i | 0.218613 | − | 0.218613i | ||||
\(279\) | 6.25364e8 | + | 1.78719e9i | 0.103209 | + | 0.294954i | ||||
\(280\) | 2.94632e9 | + | 4.68904e9i | 0.479344 | + | 0.762872i | ||||
\(281\) | 1.02431e10 | − | 4.93280e9i | 1.64288 | − | 0.791167i | 0.643200 | − | 0.765698i | \(-0.277606\pi\) |
0.999676 | − | 0.0254692i | \(-0.00810798\pi\) | |||||||
\(282\) | 6.85029e8 | − | 1.95770e9i | 0.108321 | − | 0.309564i | ||||
\(283\) | −8.57869e9 | + | 1.95803e9i | −1.33744 | + | 0.305263i | −0.830645 | − | 0.556802i | \(-0.812028\pi\) |
−0.506798 | + | 0.862065i | \(0.669171\pi\) | |||||||
\(284\) | −1.01290e9 | + | 1.27014e9i | −0.155702 | + | 0.195244i | ||||
\(285\) | −1.11205e10 | − | 1.39447e10i | −1.68556 | − | 2.11363i | ||||
\(286\) | 3.93505e8 | − | 1.72406e9i | 0.0588147 | − | 0.257684i | ||||
\(287\) | −1.79912e9 | + | 2.86328e9i | −0.265175 | + | 0.422023i | ||||
\(288\) | −7.31500e8 | + | 6.49224e9i | −0.106327 | + | 0.943680i | ||||
\(289\) | 4.55036e7i | 0.00652311i | ||||||||
\(290\) | −9.15460e8 | + | 6.01403e9i | −0.129434 | + | 0.850303i | ||||
\(291\) | 1.16323e9 | 0.162216 | ||||||||
\(292\) | 2.04254e9 | + | 2.30139e8i | 0.280956 | + | 0.0316562i | ||||
\(293\) | 3.57318e8 | + | 2.24518e8i | 0.0484824 | + | 0.0304635i | 0.556055 | − | 0.831145i | \(-0.312314\pi\) |
−0.507573 | + | 0.861609i | \(0.669457\pi\) | |||||||
\(294\) | 2.80200e9 | + | 6.39538e8i | 0.375041 | + | 0.0856007i | ||||
\(295\) | 8.82634e9 | − | 7.03877e9i | 1.16545 | − | 0.929414i | ||||
\(296\) | 1.01297e10 | + | 8.07816e9i | 1.31956 | + | 1.05231i | ||||
\(297\) | 1.15230e9 | + | 5.04855e9i | 0.148095 | + | 0.648845i | ||||
\(298\) | 4.12691e9 | + | 1.44407e9i | 0.523311 | + | 0.183115i | ||||
\(299\) | −2.58857e9 | − | 5.37522e9i | −0.323873 | − | 0.672530i | ||||
\(300\) | 2.06380e8 | − | 1.29677e8i | 0.0254790 | − | 0.0160095i | ||||
\(301\) | 8.11714e9 | − | 2.84031e9i | 0.988865 | − | 0.346019i | ||||
\(302\) | −4.71820e9 | − | 4.71820e9i | −0.567217 | − | 0.567217i | ||||
\(303\) | −7.31689e9 | + | 1.51937e10i | −0.868072 | + | 1.80257i | ||||
\(304\) | −1.11137e9 | − | 9.86369e9i | −0.130126 | − | 1.15490i | ||||
\(305\) | −1.29111e10 | + | 1.45473e9i | −1.49198 | + | 0.168106i | ||||
\(306\) | 1.76729e10 | + | 8.51081e9i | 2.01568 | + | 0.970701i | ||||
\(307\) | −5.10598e9 | + | 5.10598e9i | −0.574812 | + | 0.574812i | −0.933469 | − | 0.358657i | \(-0.883235\pi\) |
0.358657 | + | 0.933469i | \(0.383235\pi\) | |||||||
\(308\) | −1.19566e8 | − | 3.41700e8i | −0.0132863 | − | 0.0379702i | ||||
\(309\) | −2.45454e9 | − | 3.90638e9i | −0.269238 | − | 0.428490i | ||||
\(310\) | −8.95080e8 | + | 4.31048e8i | −0.0969203 | + | 0.0466744i | ||||
\(311\) | 4.59408e9 | − | 1.31291e10i | 0.491085 | − | 1.40344i | −0.385729 | − | 0.922612i | \(-0.626050\pi\) |
0.876814 | − | 0.480829i | \(-0.159664\pi\) | |||||||
\(312\) | −2.29451e10 | + | 5.23707e9i | −2.42143 | + | 0.552675i | ||||
\(313\) | 4.23995e9 | − | 5.31673e9i | 0.441757 | − | 0.553946i | −0.510248 | − | 0.860027i | \(-0.670447\pi\) |
0.952005 | + | 0.306081i | \(0.0990180\pi\) | |||||||
\(314\) | 5.89963e9 | + | 7.39790e9i | 0.606885 | + | 0.761010i | ||||
\(315\) | 4.60183e9 | − | 2.01619e10i | 0.467399 | − | 2.04781i | ||||
\(316\) | −1.30977e9 | + | 2.08448e9i | −0.131355 | + | 0.209050i | ||||
\(317\) | −9.84383e8 | + | 8.73664e9i | −0.0974826 | + | 0.865182i | 0.845870 | + | 0.533390i | \(0.179082\pi\) |
−0.943352 | + | 0.331793i | \(0.892347\pi\) | |||||||
\(318\) | − | 2.47763e9i | − | 0.242286i | ||||||
\(319\) | 9.01670e8 | − | 2.28758e9i | 0.0870732 | − | 0.220909i | ||||
\(320\) | −1.11565e10 | −1.06396 | ||||||||
\(321\) | 4.82074e9 | + | 5.43167e8i | 0.454039 | + | 0.0511580i | ||||
\(322\) | 4.32594e9 | + | 2.71817e9i | 0.402399 | + | 0.252844i | ||||
\(323\) | 1.59677e10 | + | 3.64453e9i | 1.46701 | + | 0.334835i | ||||
\(324\) | 4.56120e9 | − | 3.63744e9i | 0.413904 | − | 0.330077i | ||||
\(325\) | 9.01216e8 | + | 7.18695e8i | 0.0807784 | + | 0.0644186i | ||||
\(326\) | −3.82782e9 | − | 1.67708e10i | −0.338907 | − | 1.48485i | ||||
\(327\) | −2.08122e10 | − | 7.28249e9i | −1.82023 | − | 0.636926i | ||||
\(328\) | −3.05484e9 | − | 6.34343e9i | −0.263932 | − | 0.548061i | ||||
\(329\) | 1.70023e9 | − | 1.06832e9i | 0.145119 | − | 0.0911842i | ||||
\(330\) | −4.27598e9 | + | 1.49623e9i | −0.360562 | + | 0.126166i | ||||
\(331\) | −9.27437e9 | − | 9.27437e9i | −0.772632 | − | 0.772632i | 0.205934 | − | 0.978566i | \(-0.433977\pi\) |
−0.978566 | + | 0.205934i | \(0.933977\pi\) | |||||||
\(332\) | 1.40703e9 | − | 2.92172e9i | 0.115811 | − | 0.240484i | ||||
\(333\) | −5.41727e9 | − | 4.80796e10i | −0.440559 | − | 3.91007i | ||||
\(334\) | 1.98777e10 | − | 2.23967e9i | 1.59727 | − | 0.179970i | ||||
\(335\) | 6.59838e9 | + | 3.17761e9i | 0.523912 | + | 0.252303i | ||||
\(336\) | 1.13954e10 | − | 1.13954e10i | 0.894075 | − | 0.894075i | ||||
\(337\) | 1.75663e9 | + | 5.02016e9i | 0.136195 | + | 0.389223i | 0.991700 | − | 0.128571i | \(-0.0410391\pi\) |
−0.855505 | + | 0.517794i | \(0.826753\pi\) | |||||||
\(338\) | −3.33892e9 | − | 5.31386e9i | −0.255823 | − | 0.407139i | ||||
\(339\) | −6.46972e9 | + | 3.11565e9i | −0.489877 | + | 0.235912i | ||||
\(340\) | 8.12596e8 | − | 2.32227e9i | 0.0608077 | − | 0.173779i | ||||
\(341\) | 3.91489e8 | − | 8.93548e7i | 0.0289536 | − | 0.00660846i | ||||
\(342\) | −2.89034e10 | + | 3.62437e10i | −2.11273 | + | 2.64928i | ||||
\(343\) | 9.31280e9 | + | 1.16779e10i | 0.672827 | + | 0.843699i | ||||
\(344\) | −3.98427e9 | + | 1.74562e10i | −0.284521 | + | 1.24657i | ||||
\(345\) | −8.13134e9 | + | 1.29410e10i | −0.573965 | + | 0.913461i | ||||
\(346\) | 1.19681e9 | − | 1.06220e10i | 0.0835068 | − | 0.741143i | ||||
\(347\) | 1.04536e10i | 0.721023i | 0.932755 | + | 0.360511i | \(0.117398\pi\) | ||||
−0.932755 | + | 0.360511i | \(0.882602\pi\) | |||||||
\(348\) | −5.27830e9 | + | 3.87798e8i | −0.359896 | + | 0.0264417i | ||||
\(349\) | 7.80384e9 | 0.526026 | 0.263013 | − | 0.964792i | \(-0.415284\pi\) | ||||
0.263013 | + | 0.964792i | \(0.415284\pi\) | |||||||
\(350\) | −9.80907e8 | − | 1.10522e8i | −0.0653665 | − | 0.00736504i | ||||
\(351\) | 4.46328e10 | + | 2.80446e10i | 2.94053 | + | 1.84766i | ||||
\(352\) | 1.35083e9 | + | 3.08319e8i | 0.0879895 | + | 0.0200830i | ||||
\(353\) | 2.28766e9 | − | 1.82435e9i | 0.147331 | − | 0.117492i | −0.547051 | − | 0.837100i | \(-0.684250\pi\) |
0.694381 | + | 0.719607i | \(0.255678\pi\) | |||||||
\(354\) | −3.21224e10 | − | 2.56168e10i | −2.04548 | − | 1.63122i | ||||
\(355\) | 4.37962e9 | + | 1.91884e10i | 0.275755 | + | 1.20816i | ||||
\(356\) | −1.02247e9 | − | 3.57778e8i | −0.0636577 | − | 0.0222748i | ||||
\(357\) | 1.15375e10 | + | 2.39578e10i | 0.710295 | + | 1.47494i | ||||
\(358\) | 2.50308e9 | − | 1.57279e9i | 0.152385 | − | 0.0957499i | ||||
\(359\) | −4.75722e9 | + | 1.66462e9i | −0.286401 | + | 0.100216i | −0.469657 | − | 0.882849i | \(-0.655622\pi\) |
0.183255 | + | 0.983065i | \(0.441337\pi\) | |||||||
\(360\) | 3.04465e10 | + | 3.04465e10i | 1.81271 | + | 1.81271i | ||||
\(361\) | −9.42553e9 | + | 1.95723e10i | −0.554980 | + | 1.15243i | ||||
\(362\) | −3.55693e8 | − | 3.15686e9i | −0.0207129 | − | 0.183832i | ||||
\(363\) | −3.04525e10 | + | 3.43118e9i | −1.75387 | + | 0.197614i | ||||
\(364\) | −3.32013e9 | − | 1.59889e9i | −0.189125 | − | 0.0910778i | ||||
\(365\) | 1.76085e10 | − | 1.76085e10i | 0.992088 | − | 0.992088i | ||||
\(366\) | 1.56174e10 | + | 4.46321e10i | 0.870334 | + | 2.48727i | ||||
\(367\) | −1.27755e10 | − | 2.03321e10i | −0.704228 | − | 1.12077i | −0.986865 | − | 0.161546i | \(-0.948352\pi\) |
0.282637 | − | 0.959227i | \(-0.408791\pi\) | |||||||
\(368\) | −7.66334e9 | + | 3.69047e9i | −0.417856 | + | 0.201229i | ||||
\(369\) | −8.68387e9 | + | 2.48171e10i | −0.468390 | + | 1.33858i | ||||
\(370\) | 2.47499e10 | − | 5.64899e9i | 1.32058 | − | 0.301415i | ||||
\(371\) | 1.49556e9 | − | 1.87537e9i | 0.0789420 | − | 0.0989901i | ||||
\(372\) | −5.38895e8 | − | 6.75753e8i | −0.0281406 | − | 0.0352871i | ||||
\(373\) | 1.30738e9 | − | 5.72800e9i | 0.0675408 | − | 0.295916i | −0.929865 | − | 0.367901i | \(-0.880076\pi\) |
0.997406 | + | 0.0719856i | \(0.0229336\pi\) | |||||||
\(374\) | 2.21325e9 | − | 3.52237e9i | 0.113121 | − | 0.180031i | ||||
\(375\) | 4.29559e9 | − | 3.81244e10i | 0.217219 | − | 1.92787i | ||||
\(376\) | 4.18079e9i | 0.209174i | ||||||||
\(377\) | −9.97558e9 | − | 2.29557e10i | −0.493825 | − | 1.13639i | ||||
\(378\) | −4.51402e10 | −2.21104 | ||||||||
\(379\) | −1.62924e10 | − | 1.83572e9i | −0.789640 | − | 0.0889710i | −0.292072 | − | 0.956396i | \(-0.594345\pi\) |
−0.497567 | + | 0.867425i | \(0.665773\pi\) | |||||||
\(380\) | 4.92331e9 | + | 3.09352e9i | 0.236114 | + | 0.148360i | ||||
\(381\) | −3.27947e10 | − | 7.48517e9i | −1.55634 | − | 0.355224i | ||||
\(382\) | 1.05397e10 | − | 8.40511e9i | 0.494964 | − | 0.394721i | ||||
\(383\) | 7.76030e9 | + | 6.18863e9i | 0.360648 | + | 0.287607i | 0.787003 | − | 0.616949i | \(-0.211631\pi\) |
−0.426356 | + | 0.904556i | \(0.640203\pi\) | |||||||
\(384\) | 5.59521e9 | + | 2.45142e10i | 0.257331 | + | 1.12744i | ||||
\(385\) | −4.13974e9 | − | 1.44856e9i | −0.188421 | − | 0.0659314i | ||||
\(386\) | −1.52630e10 | − | 3.16940e10i | −0.687529 | − | 1.42767i | ||||
\(387\) | 5.66157e10 | − | 3.55740e10i | 2.52402 | − | 1.58595i | ||||
\(388\) | −3.57935e8 | + | 1.25247e8i | −0.0157935 | + | 0.00552637i | ||||
\(389\) | 4.17754e9 | + | 4.17754e9i | 0.182441 | + | 0.182441i | 0.792419 | − | 0.609978i | \(-0.208822\pi\) |
−0.609978 | + | 0.792419i | \(0.708822\pi\) | |||||||
\(390\) | −2.00082e10 | + | 4.15475e10i | −0.864868 | + | 1.79592i | ||||
\(391\) | −1.57138e9 | − | 1.39464e10i | −0.0672316 | − | 0.596697i | ||||
\(392\) | −5.75687e9 | + | 6.48644e8i | −0.243805 | + | 0.0274702i | ||||
\(393\) | 3.03198e10 | + | 1.46012e10i | 1.27103 | + | 0.612096i | ||||
\(394\) | 2.07124e10 | − | 2.07124e10i | 0.859499 | − | 0.859499i | ||||
\(395\) | 9.85064e9 | + | 2.81515e10i | 0.404647 | + | 1.15641i | ||||
\(396\) | −1.49753e9 | − | 2.38330e9i | −0.0608968 | − | 0.0969167i | ||||
\(397\) | 1.32508e10 | − | 6.38126e9i | 0.533435 | − | 0.256889i | −0.147719 | − | 0.989029i | \(-0.547193\pi\) |
0.681153 | + | 0.732141i | \(0.261479\pi\) | |||||||
\(398\) | −1.60471e9 | + | 4.58599e9i | −0.0639534 | + | 0.182768i | ||||
\(399\) | −6.12677e10 | + | 1.39840e10i | −2.41735 | + | 0.551745i | ||||
\(400\) | 1.02463e9 | − | 1.28484e9i | 0.0400246 | − | 0.0501892i | ||||
\(401\) | 2.06975e10 | + | 2.59539e10i | 0.800463 | + | 1.00375i | 0.999717 | + | 0.0238005i | \(0.00757665\pi\) |
−0.199254 | + | 0.979948i | \(0.563852\pi\) | |||||||
\(402\) | 5.93097e9 | − | 2.59853e10i | 0.227102 | − | 0.995000i | ||||
\(403\) | 2.17472e9 | − | 3.46104e9i | 0.0824485 | − | 0.131216i | ||||
\(404\) | 6.15536e8 | − | 5.46303e9i | 0.0231062 | − | 0.205073i | ||||
\(405\) | − | 7.06796e10i | − | 2.62708i | ||||||
\(406\) | 1.76920e10 | + | 1.21001e10i | 0.651138 | + | 0.445333i | ||||
\(407\) | −1.02611e10 | −0.373954 | ||||||||
\(408\) | −5.50163e10 | − | 6.19885e9i | −1.98541 | − | 0.223702i | ||||
\(409\) | 7.84126e9 | + | 4.92699e9i | 0.280216 | + | 0.176071i | 0.664806 | − | 0.747016i | \(-0.268514\pi\) |
−0.384590 | + | 0.923087i | \(0.625657\pi\) | |||||||
\(410\) | −1.34494e10 | − | 3.06975e9i | −0.475958 | − | 0.108634i | ||||
\(411\) | −8.40542e9 | + | 6.70310e9i | −0.294573 | + | 0.234914i | ||||
\(412\) | 1.17589e9 | + | 9.37740e8i | 0.0408110 | + | 0.0325457i | ||||
\(413\) | −8.85122e9 | − | 3.87797e10i | −0.304231 | − | 1.33292i | ||||
\(414\) | 3.74944e10 | + | 1.31199e10i | 1.27634 | + | 0.446610i | ||||
\(415\) | −1.70463e10 | − | 3.53969e10i | −0.574694 | − | 1.19337i | ||||
\(416\) | 1.19423e10 | − | 7.50386e9i | 0.398764 | − | 0.250560i | ||||
\(417\) | 1.83712e10 | − | 6.42838e9i | 0.607567 | − | 0.212597i | ||||
\(418\) | 6.95183e9 | + | 6.95183e9i | 0.227716 | + | 0.227716i | ||||
\(419\) | 1.57585e9 | − | 3.27229e9i | 0.0511281 | − | 0.106168i | −0.873840 | − | 0.486214i | \(-0.838377\pi\) |
0.924968 | + | 0.380046i | \(0.124092\pi\) | |||||||
\(420\) | 1.05697e9 | + | 9.38087e9i | 0.0339676 | + | 0.301471i | ||||
\(421\) | −3.27783e10 | + | 3.69322e9i | −1.04342 | + | 0.117565i | −0.617001 | − | 0.786963i | \(-0.711652\pi\) |
−0.426416 | + | 0.904527i | \(0.640224\pi\) | |||||||
\(422\) | 1.45844e10 | + | 7.02347e9i | 0.459874 | + | 0.221463i | ||||
\(423\) | 1.10398e10 | − | 1.10398e10i | 0.344826 | − | 0.344826i | ||||
\(424\) | 1.64948e9 | + | 4.71396e9i | 0.0510370 | + | 0.145855i | ||||
\(425\) | 1.44267e9 | + | 2.29600e9i | 0.0442192 | + | 0.0703745i | ||||
\(426\) | 6.45361e10 | − | 3.10789e10i | 1.95959 | − | 0.943687i | ||||
\(427\) | −1.51198e10 | + | 4.32100e10i | −0.454816 | + | 1.29979i | ||||
\(428\) | −1.54186e9 | + | 3.51920e8i | −0.0459484 | + | 0.0104874i | ||||
\(429\) | 1.16214e10 | − | 1.45728e10i | 0.343108 | − | 0.430243i | ||||
\(430\) | 2.18738e10 | + | 2.74289e10i | 0.639809 | + | 0.802295i | ||||
\(431\) | 1.29876e9 | − | 5.69025e9i | 0.0376375 | − | 0.164901i | −0.952616 | − | 0.304174i | \(-0.901620\pi\) |
0.990254 | + | 0.139273i | \(0.0444767\pi\) | |||||||
\(432\) | 3.99826e10 | − | 6.36320e10i | 1.14799 | − | 1.82701i | ||||
\(433\) | −3.60052e9 | + | 3.19555e10i | −0.102427 | + | 0.909063i | 0.832452 | + | 0.554097i | \(0.186936\pi\) |
−0.934879 | + | 0.354966i | \(0.884492\pi\) | |||||||
\(434\) | 3.50039e9i | 0.0986637i | ||||||||
\(435\) | −3.61972e10 | + | 5.29253e10i | −1.01092 | + | 1.47811i | ||||
\(436\) | 7.18818e9 | 0.198918 | ||||||||
\(437\) | 3.29596e10 | + | 3.71366e9i | 0.903766 | + | 0.101830i | ||||
\(438\) | −7.67372e10 | − | 4.82172e10i | −2.08502 | − | 1.31010i | ||||
\(439\) | −1.36733e10 | − | 3.12084e9i | −0.368141 | − | 0.0840259i | 0.0344481 | − | 0.999406i | \(-0.489033\pi\) |
−0.402590 | + | 0.915381i | \(0.631890\pi\) | |||||||
\(440\) | 7.13938e9 | − | 5.69347e9i | 0.190480 | − | 0.151903i | ||||
\(441\) | 1.69144e10 | + | 1.34888e10i | 0.447201 | + | 0.356631i | ||||
\(442\) | −9.42283e9 | − | 4.12841e10i | −0.246884 | − | 1.08167i | ||||
\(443\) | −4.59318e10 | − | 1.60722e10i | −1.19261 | − | 0.417313i | −0.340285 | − | 0.940322i | \(-0.610523\pi\) |
−0.852327 | + | 0.523010i | \(0.824809\pi\) | |||||||
\(444\) | 9.58290e9 | + | 1.98991e10i | 0.246584 | + | 0.512037i | ||||
\(445\) | −1.11123e10 | + | 6.98230e9i | −0.283376 | + | 0.178057i | ||||
\(446\) | −4.69480e10 | + | 1.64278e10i | −1.18653 | + | 0.415184i | ||||
\(447\) | 3.25869e10 | + | 3.25869e10i | 0.816230 | + | 0.816230i | ||||
\(448\) | −1.70555e10 | + | 3.54161e10i | −0.423401 | + | 0.879202i | ||||
\(449\) | 6.04880e9 | + | 5.36846e10i | 0.148828 | + | 1.32088i | 0.816897 | + | 0.576784i | \(0.195693\pi\) |
−0.668069 | + | 0.744100i | \(0.732879\pi\) | |||||||
\(450\) | −7.62673e9 | + | 8.59326e8i | −0.185989 | + | 0.0209560i | ||||
\(451\) | 5.02385e9 | + | 2.41936e9i | 0.121431 | + | 0.0584782i | ||||
\(452\) | 1.65532e9 | − | 1.65532e9i | 0.0396577 | − | 0.0396577i | ||||
\(453\) | −2.32286e10 | − | 6.63836e10i | −0.551608 | − | 1.57641i | ||||
\(454\) | −6.84057e9 | − | 1.08867e10i | −0.161016 | − | 0.256255i | ||||
\(455\) | −4.02237e10 | + | 1.93707e10i | −0.938505 | + | 0.451960i | ||||
\(456\) | 4.32149e10 | − | 1.23501e11i | 0.999480 | − | 2.85635i | ||||
\(457\) | −5.48417e10 | + | 1.25173e10i | −1.25732 | + | 0.286975i | −0.798739 | − | 0.601677i | \(-0.794499\pi\) |
−0.458581 | + | 0.888652i | \(0.651642\pi\) | |||||||
\(458\) | −9.67346e9 | + | 1.21301e10i | −0.219847 | + | 0.275679i | ||||
\(459\) | 7.73134e10 | + | 9.69479e10i | 1.74182 | + | 2.18418i | ||||
\(460\) | 1.10870e9 | − | 4.85755e9i | 0.0247619 | − | 0.108489i | ||||
\(461\) | 7.31071e8 | − | 1.16349e9i | 0.0161866 | − | 0.0257608i | −0.838533 | − | 0.544851i | \(-0.816586\pi\) |
0.854720 | + | 0.519090i | \(0.173729\pi\) | |||||||
\(462\) | −1.78715e9 | + | 1.58614e10i | −0.0392278 | + | 0.348156i | ||||
\(463\) | − | 1.16149e9i | − | 0.0252750i | −0.999920 | − | 0.0126375i | \(-0.995977\pi\) | ||
0.999920 | − | 0.0126375i | \(-0.00402274\pi\) | |||||||
\(464\) | −3.27275e10 | + | 1.42220e10i | −0.706059 | + | 0.306823i | ||||
\(465\) | −1.04713e10 | −0.223970 | ||||||||
\(466\) | −2.27428e10 | − | 2.56250e9i | −0.482281 | − | 0.0543400i | ||||
\(467\) | 4.11328e10 | + | 2.58454e10i | 0.864810 | + | 0.543396i | 0.889831 | − | 0.456291i | \(-0.150822\pi\) |
−0.0250209 | + | 0.999687i | \(0.507965\pi\) | |||||||
\(468\) | −2.79337e10 | − | 6.37567e9i | −0.582297 | − | 0.132905i | ||||
\(469\) | 2.01746e10 | − | 1.60887e10i | 0.416979 | − | 0.332529i | ||||
\(470\) | 6.40455e9 | + | 5.10746e9i | 0.131249 | + | 0.104668i | ||||
\(471\) | 2.21931e10 | + | 9.72341e10i | 0.450955 | + | 1.97576i | ||||
\(472\) | 7.81706e10 | + | 2.73531e10i | 1.57498 | + | 0.551110i | ||||
\(473\) | −6.15267e9 | − | 1.27761e10i | −0.122919 | − | 0.255244i | ||||
\(474\) | 9.19079e10 | − | 5.77495e10i | 1.82070 | − | 1.14402i | ||||
\(475\) | −6.04879e9 | + | 2.11656e9i | −0.118821 | + | 0.0415774i | ||||
\(476\) | −6.12976e9 | − | 6.12976e9i | −0.119403 | − | 0.119403i | ||||
\(477\) | 8.09204e9 | − | 1.68033e10i | 0.156309 | − | 0.324580i | ||||
\(478\) | 3.14331e9 | + | 2.78977e10i | 0.0602110 | + | 0.534388i | ||||
\(479\) | 2.30151e10 | − | 2.59318e9i | 0.437191 | − | 0.0492596i | 0.109374 | − | 0.994001i | \(-0.465115\pi\) |
0.327818 | + | 0.944741i | \(0.393687\pi\) | |||||||
\(480\) | −3.25533e10 | − | 1.56768e10i | −0.613239 | − | 0.295320i | ||||
\(481\) | −7.38581e10 | + | 7.38581e10i | −1.37981 | + | 1.37981i | ||||
\(482\) | 1.73494e10 | + | 4.95817e10i | 0.321437 | + | 0.918615i | ||||
\(483\) | 2.86501e10 | + | 4.55964e10i | 0.526427 | + | 0.837804i | ||||
\(484\) | 9.00105e9 | − | 4.33467e9i | 0.164026 | − | 0.0789905i | ||||
\(485\) | −1.51738e9 | + | 4.33642e9i | −0.0274238 | + | 0.0783726i | ||||
\(486\) | −1.13829e11 | + | 2.59806e10i | −2.04036 | + | 0.465698i | ||||
\(487\) | −3.02225e10 | + | 3.78978e10i | −0.537297 | + | 0.673749i | −0.974181 | − | 0.225769i | \(-0.927511\pi\) |
0.436884 | + | 0.899518i | \(0.356082\pi\) | |||||||
\(488\) | −5.94277e10 | − | 7.45199e10i | −1.04787 | − | 1.31399i | ||||
\(489\) | 4.03462e10 | − | 1.76768e11i | 0.705613 | − | 3.09149i | ||||
\(490\) | −6.03922e9 | + | 9.61137e9i | −0.104760 | + | 0.166725i | ||||
\(491\) | −1.07271e10 | + | 9.52057e10i | −0.184568 | + | 1.63809i | 0.470417 | + | 0.882444i | \(0.344104\pi\) |
−0.654985 | + | 0.755642i | \(0.727325\pi\) | |||||||
\(492\) | − | 1.20020e10i | − | 0.204831i | ||||||
\(493\) | −4.31428e9 | − | 5.87216e10i | −0.0730333 | − | 0.994054i | ||||
\(494\) | 1.00076e11 | 1.68044 | ||||||||
\(495\) | −3.38864e10 | − | 3.81808e9i | −0.564423 | − | 0.0635952i | ||||
\(496\) | −4.93433e9 | − | 3.10045e9i | −0.0815271 | − | 0.0512269i | ||||
\(497\) | 6.76087e10 | + | 1.54312e10i | 1.10810 | + | 0.252916i | ||||
\(498\) | −1.11788e11 | + | 8.91482e10i | −1.81752 | + | 1.44942i | ||||
\(499\) | −4.71394e9 | − | 3.75924e9i | −0.0760295 | − | 0.0606315i | 0.584738 | − | 0.811222i | \(-0.301197\pi\) |
−0.660767 | + | 0.750591i | \(0.729769\pi\) | |||||||
\(500\) | 2.78313e9 | + | 1.21937e10i | 0.0445300 | + | 0.195099i | ||||
\(501\) | 1.99009e11 | + | 6.96364e10i | 3.15881 | + | 1.10531i | ||||
\(502\) | 1.98749e10 | + | 4.12706e10i | 0.312961 | + | 0.649869i | ||||
\(503\) | 5.77993e9 | − | 3.63177e9i | 0.0902922 | − | 0.0567344i | −0.486129 | − | 0.873887i | \(-0.661592\pi\) |
0.576421 | + | 0.817153i | \(0.304449\pi\) | |||||||
\(504\) | 1.43197e11 | − | 5.01069e10i | 2.21929 | − | 0.776561i | ||||
\(505\) | −4.70962e10 | − | 4.70962e10i | −0.724136 | − | 0.724136i | ||||
\(506\) | 3.65525e9 | − | 7.59020e9i | 0.0557590 | − | 0.115785i | ||||
\(507\) | −7.40626e9 | − | 6.57324e10i | −0.112090 | − | 0.994827i | ||||
\(508\) | 1.08971e10 | − | 1.22781e9i | 0.163628 | − | 0.0184364i | ||||
\(509\) | −7.42500e10 | − | 3.57569e10i | −1.10618 | − | 0.532707i | −0.210583 | − | 0.977576i | \(-0.567536\pi\) |
−0.895596 | + | 0.444869i | \(0.853250\pi\) | |||||||
\(510\) | −7.67067e10 | + | 7.67067e10i | −1.13384 | + | 1.13384i | ||||
\(511\) | −2.89789e10 | − | 8.28171e10i | −0.425010 | − | 1.21461i | ||||
\(512\) | −4.08623e10 | − | 6.50319e10i | −0.594624 | − | 0.946339i | ||||
\(513\) | −2.64032e11 | + | 1.27151e11i | −3.81230 | + | 1.83591i | ||||
\(514\) | 3.92052e9 | − | 1.12042e10i | 0.0561683 | − | 0.160520i | ||||
\(515\) | 1.77645e10 | − | 4.05463e9i | 0.252537 | − | 0.0576398i | ||||
\(516\) | −1.90304e10 | + | 2.38633e10i | −0.268441 | + | 0.336614i | ||||
\(517\) | −2.06443e9 | − | 2.58871e9i | −0.0288960 | − | 0.0362345i | ||||
\(518\) | 1.99038e10 | − | 8.72042e10i | 0.276450 | − | 1.21121i | ||||
\(519\) | 5.99425e10 | − | 9.53979e10i | 0.826162 | − | 1.31483i | ||||
\(520\) | 1.04075e10 | − | 9.23689e10i | 0.142342 | − | 1.26332i | ||||
\(521\) | − | 1.88280e10i | − | 0.255537i | −0.991804 | − | 0.127768i | \(-0.959219\pi\) | ||
0.991804 | − | 0.127768i | \(-0.0407814\pi\) | |||||||
\(522\) | 1.55044e11 | + | 6.11121e10i | 2.08821 | + | 0.823086i | ||||
\(523\) | 8.25182e10 | 1.10292 | 0.551459 | − | 0.834202i | \(-0.314071\pi\) | ||||
0.551459 | + | 0.834202i | \(0.314071\pi\) | |||||||
\(524\) | −1.09018e10 | − | 1.22833e9i | −0.144601 | − | 0.0162926i | ||||
\(525\) | −8.80967e9 | − | 5.53548e9i | −0.115964 | − | 0.0728649i | ||||
\(526\) | −1.07482e11 | − | 2.45320e10i | −1.40408 | − | 0.320472i | ||||
\(527\) | 7.51781e9 | − | 5.99526e9i | 0.0974651 | − | 0.0777258i | ||||
\(528\) | −2.07761e10 | − | 1.65684e10i | −0.267319 | − | 0.213179i | ||||
\(529\) | 1.11014e10 | + | 4.86384e10i | 0.141760 | + | 0.621093i | ||||
\(530\) | 9.23640e9 | + | 3.23196e9i | 0.117058 | + | 0.0409602i | ||||
\(531\) | −1.34189e11 | − | 2.78646e11i | −1.68787 | − | 3.50489i | ||||
\(532\) | 1.73469e10 | − | 1.08998e10i | 0.216558 | − | 0.136073i | ||||
\(533\) | 5.35751e10 | − | 1.87467e10i | 0.663826 | − | 0.232283i | ||||
\(534\) | 3.37732e10 | + | 3.37732e10i | 0.415344 | + | 0.415344i | ||||
\(535\) | −8.31331e9 | + | 1.72628e10i | −0.101475 | + | 0.210715i | ||||
\(536\) | 6.01541e9 | + | 5.33883e10i | 0.0728796 | + | 0.646825i | ||||
\(537\) | 3.09631e10 | − | 3.48870e9i | 0.372346 | − | 0.0419533i | ||||
\(538\) | −6.98022e10 | − | 3.36150e10i | −0.833183 | − | 0.401240i | ||||
\(539\) | 3.24432e9 | − | 3.24432e9i | 0.0384387 | − | 0.0384387i | ||||
\(540\) | 1.45395e10 | + | 4.15516e10i | 0.170992 | + | 0.488667i | ||||
\(541\) | −1.28553e10 | − | 2.04590e10i | −0.150069 | − | 0.238834i | 0.763226 | − | 0.646131i | \(-0.223614\pi\) |
−0.913296 | + | 0.407297i | \(0.866471\pi\) | |||||||
\(542\) | −4.32426e10 | + | 2.08245e10i | −0.501089 | + | 0.241312i | ||||
\(543\) | 1.10593e10 | − | 3.16056e10i | 0.127212 | − | 0.363550i | ||||
\(544\) | 3.23469e10 | − | 7.38297e9i | 0.369349 | − | 0.0843016i | ||||
\(545\) | 5.42970e10 | − | 6.80863e10i | 0.615446 | − | 0.771745i | ||||
\(546\) | 1.01305e11 | + | 1.27032e11i | 1.13988 | + | 1.42936i | ||||
\(547\) | −2.41784e10 | + | 1.05932e11i | −0.270071 | + | 1.18326i | 0.639858 | + | 0.768493i | \(0.278993\pi\) |
−0.909929 | + | 0.414765i | \(0.863864\pi\) | |||||||
\(548\) | 1.86468e9 | − | 2.96762e9i | 0.0206767 | − | 0.0329069i | ||||
\(549\) | −3.98526e10 | + | 3.53702e11i | −0.438700 | + | 3.89357i | ||||
\(550\) | 1.62769e9i | 0.0177878i | ||||||||
\(551\) | 1.37567e11 | + | 2.09405e10i | 1.49248 | + | 0.227186i | ||||
\(552\) | −1.12120e11 | −1.20761 | ||||||||
\(553\) | 1.04426e11 | + | 1.17660e10i | 1.11663 | + | 0.125814i | ||||
\(554\) | 2.83954e10 | + | 1.78420e10i | 0.301445 | + | 0.189411i | ||||
\(555\) | 2.60870e11 | + | 5.95418e10i | 2.74949 | + | 0.627552i | ||||
\(556\) | −4.96082e9 | + | 3.95612e9i | −0.0519104 | + | 0.0413972i | ||||
\(557\) | −5.70082e10 | − | 4.54625e10i | −0.592266 | − | 0.472316i | 0.280902 | − | 0.959737i | \(-0.409366\pi\) |
−0.873167 | + | 0.487420i | \(0.837938\pi\) | |||||||
\(558\) | 6.05617e9 | + | 2.65338e10i | 0.0624685 | + | 0.273692i | ||||
\(559\) | −1.36247e11 | − | 4.76748e10i | −1.39534 | − | 0.488249i | ||||
\(560\) | 2.76164e10 | + | 5.73461e10i | 0.280812 | + | 0.583111i | ||||
\(561\) | 3.71266e10 | − | 2.33282e10i | 0.374830 | − | 0.235521i | ||||
\(562\) | 1.54246e11 | − | 5.39729e10i | 1.54621 | − | 0.541042i | ||||
\(563\) | −1.08358e11 | − | 1.08358e11i | −1.07852 | − | 1.07852i | −0.996642 | − | 0.0818790i | \(-0.973908\pi\) |
−0.0818790 | − | 0.996642i | \(-0.526092\pi\) | |||||||
\(564\) | −3.09223e9 | + | 6.42109e9i | −0.0305602 | + | 0.0634589i | ||||
\(565\) | −3.17544e9 | − | 2.81828e10i | −0.0311609 | − | 0.276560i | ||||
\(566\) | −1.25685e11 | + | 1.41613e10i | −1.22467 | + | 0.137987i | ||||
\(567\) | −2.24372e11 | − | 1.08052e11i | −2.17088 | − | 1.04544i | ||||
\(568\) | −1.02096e11 | + | 1.02096e11i | −0.980878 | + | 0.980878i | ||||
\(569\) | −3.45783e10 | − | 9.88192e10i | −0.329879 | − | 0.942741i | −0.982696 | − | 0.185225i | \(-0.940699\pi\) |
0.652817 | − | 0.757516i | \(-0.273587\pi\) | |||||||
\(570\) | −1.36398e11 | − | 2.17076e11i | −1.29214 | − | 2.05642i | ||||
\(571\) | 1.64324e11 | − | 7.91342e10i | 1.54581 | − | 0.744423i | 0.549940 | − | 0.835204i | \(-0.314651\pi\) |
0.995871 | + | 0.0907807i | \(0.0289362\pi\) | |||||||
\(572\) | −2.00693e9 | + | 5.73546e9i | −0.0187477 | + | 0.0535777i | ||||
\(573\) | 1.38528e11 | − | 3.16181e10i | 1.28505 | − | 0.293303i | ||||
\(574\) | −3.03058e10 | + | 3.80023e10i | −0.279176 | + | 0.350076i | ||||
\(575\) | 3.42381e9 | + | 4.29332e9i | 0.0313212 | + | 0.0392755i | ||||
\(576\) | −6.80099e10 | + | 2.97971e11i | −0.617849 | + | 2.70697i | ||||
\(577\) | 2.02750e10 | − | 3.22675e10i | 0.182919 | − | 0.291113i | −0.742660 | − | 0.669669i | \(-0.766436\pi\) |
0.925579 | + | 0.378555i | \(0.123579\pi\) | |||||||
\(578\) | −7.32320e7 | + | 6.49952e8i | −0.000656130 | + | 0.00582331i | ||||
\(579\) | − | 3.70781e11i | − | 3.29916i | ||||||
\(580\) | 5.43962e9 | − | 2.01829e10i | 0.0480681 | − | 0.178350i | ||||
\(581\) | −1.38427e11 | −1.21483 | ||||||||
\(582\) | 1.66150e10 | + | 1.87206e9i | 0.144813 | + | 0.0163166i | ||||
\(583\) | −3.34905e9 | − | 2.10435e9i | −0.0289900 | − | 0.0182156i | ||||
\(584\) | 1.78101e11 | + | 4.06504e10i | 1.53114 | + | 0.349473i | ||||
\(585\) | −2.71391e11 | + | 2.16427e11i | −2.31725 | + | 1.84794i | ||||
\(586\) | 4.74243e9 | + | 3.78196e9i | 0.0402171 | + | 0.0320720i | ||||
\(587\) | −2.38823e10 | − | 1.04635e11i | −0.201152 | − | 0.881303i | −0.970237 | − | 0.242157i | \(-0.922145\pi\) |
0.769085 | − | 0.639146i | \(-0.220712\pi\) | |||||||
\(588\) | −9.32148e9 | − | 3.26173e9i | −0.0779786 | − | 0.0272859i | ||||
\(589\) | 9.85991e9 | + | 2.04743e10i | 0.0819241 | + | 0.170117i | ||||
\(590\) | 1.37399e11 | − | 8.63337e10i | 1.13390 | − | 0.712479i | ||||
\(591\) | 2.91416e11 | − | 1.01971e11i | 2.38871 | − | 0.835847i | ||||
\(592\) | 1.05298e11 | + | 1.05298e11i | 0.857301 | + | 0.857301i | ||||
\(593\) | −8.16991e10 | + | 1.69650e11i | −0.660691 | + | 1.37194i | 0.253770 | + | 0.967265i | \(0.418329\pi\) |
−0.914461 | + | 0.404674i | \(0.867385\pi\) | |||||||
\(594\) | 8.33391e9 | + | 7.39655e10i | 0.0669427 | + | 0.594133i | ||||
\(595\) | −1.04363e11 | + | 1.17589e10i | −0.832680 | + | 0.0938206i | ||||
\(596\) | −1.35359e10 | − | 6.51855e9i | −0.107276 | − | 0.0516614i | ||||
\(597\) | −3.62118e10 | + | 3.62118e10i | −0.285071 | + | 0.285071i | ||||
\(598\) | −2.83232e10 | − | 8.09431e10i | −0.221482 | − | 0.632958i | ||||
\(599\) | 3.67097e10 | + | 5.84232e10i | 0.285150 | + | 0.453814i | 0.958329 | − | 0.285665i | \(-0.0922146\pi\) |
−0.673179 | + | 0.739479i | \(0.735072\pi\) | |||||||
\(600\) | 1.95173e10 | − | 9.39905e9i | 0.150597 | − | 0.0725236i | ||||
\(601\) | −2.32162e10 | + | 6.63482e10i | −0.177948 | + | 0.508547i | −0.997963 | − | 0.0637955i | \(-0.979679\pi\) |
0.820015 | + | 0.572342i | \(0.193965\pi\) | |||||||
\(602\) | 1.20512e11 | − | 2.75062e10i | 0.917584 | − | 0.209433i | ||||
\(603\) | 1.25093e11 | − | 1.56861e11i | 0.946156 | − | 1.18644i | ||||
\(604\) | 1.42953e10 | + | 1.79257e10i | 0.107410 | + | 0.134688i | ||||
\(605\) | 2.69328e10 | − | 1.18000e11i | 0.201030 | − | 0.880768i | ||||
\(606\) | −1.28963e11 | + | 2.05244e11i | −0.956258 | + | 1.52188i | ||||
\(607\) | −1.13792e10 | + | 1.00993e11i | −0.0838215 | + | 0.743937i | 0.879557 | + | 0.475793i | \(0.157839\pi\) |
−0.963379 | + | 0.268144i | \(0.913590\pi\) | |||||||
\(608\) | 7.84119e10i | 0.573809i | ||||||||
\(609\) | 1.12674e11 | + | 1.95818e11i | 0.819134 | + | 1.42358i | ||||
\(610\) | −1.86757e11 | −1.34883 | ||||||||
\(611\) | −3.34926e10 | − | 3.77371e9i | −0.240317 | − | 0.0270772i | ||||
\(612\) | −5.70704e10 | − | 3.58597e10i | −0.406822 | − | 0.255623i | ||||
\(613\) | −1.44570e11 | − | 3.29971e10i | −1.02385 | − | 0.233687i | −0.322549 | − | 0.946553i | \(-0.604540\pi\) |
−0.701300 | + | 0.712866i | \(0.747397\pi\) | |||||||
\(614\) | −8.11488e10 | + | 6.47140e10i | −0.570964 | + | 0.455329i | ||||
\(615\) | −1.13683e11 | − | 9.06592e10i | −0.794685 | − | 0.633740i | ||||
\(616\) | −7.15950e9 | − | 3.13678e10i | −0.0497233 | − | 0.217852i | ||||
\(617\) | 2.60837e11 | + | 9.12709e10i | 1.79982 | + | 0.629784i | 0.999545 | + | 0.0301480i | \(0.00959786\pi\) |
0.800273 | + | 0.599636i | \(0.204688\pi\) | |||||||
\(618\) | −2.87727e10 | − | 5.97472e10i | −0.197255 | − | 0.409604i | ||||
\(619\) | −2.21779e11 | + | 1.39353e11i | −1.51063 | + | 0.949190i | −0.514860 | + | 0.857274i | \(0.672156\pi\) |
−0.995767 | + | 0.0919155i | \(0.970701\pi\) | |||||||
\(620\) | 3.22212e9 | − | 1.12747e9i | 0.0218059 | − | 0.00763022i | ||||
\(621\) | 1.77566e11 | + | 1.77566e11i | 1.19397 | + | 1.19397i | ||||
\(622\) | 8.67493e10 | − | 1.80137e11i | 0.579568 | − | 1.20348i | ||||
\(623\) | 5.17732e9 | + | 4.59500e10i | 0.0343679 | + | 0.305024i | ||||
\(624\) | −2.68801e11 | + | 3.02866e10i | −1.77293 | + | 0.199761i | ||||
\(625\) | 1.25057e11 | + | 6.02244e10i | 0.819576 | + | 0.394687i | ||||
\(626\) | 6.91180e10 | − | 6.91180e10i | 0.450084 | − | 0.450084i | ||||
\(627\) | 3.42252e10 | + | 9.78100e10i | 0.221450 | + | 0.632868i | ||||
\(628\) | −1.72983e10 | − | 2.75301e10i | −0.111216 | − | 0.176999i | ||||
\(629\) | −2.21379e11 | + | 1.06611e11i | −1.41428 | + | 0.681079i | ||||
\(630\) | 9.81782e10 | − | 2.80577e11i | 0.623237 | − | 1.78111i | ||||
\(631\) | −9.09676e10 | + | 2.07628e10i | −0.573811 | + | 0.130969i | −0.499573 | − | 0.866272i | \(-0.666510\pi\) |
−0.0742384 | + | 0.997241i | \(0.523653\pi\) | |||||||
\(632\) | −1.36418e11 | + | 1.71062e11i | −0.855071 | + | 1.07222i | ||||
\(633\) | 1.06380e11 | + | 1.33396e11i | 0.662588 | + | 0.830859i | ||||
\(634\) | −2.81209e10 | + | 1.23206e11i | −0.174049 | + | 0.762561i | ||||
\(635\) | 7.06832e10 | − | 1.12492e11i | 0.434732 | − | 0.691872i | ||||
\(636\) | −9.53209e8 | + | 8.45996e9i | −0.00582585 | + | 0.0517059i | ||||
\(637\) | − | 4.67043e10i | − | 0.283660i | ||||||
\(638\) | 1.65606e10 | − | 3.12236e10i | 0.0999523 | − | 0.188452i | ||||
\(639\) | 5.39189e11 | 3.23398 | ||||||||
\(640\) | −9.86856e10 | − | 1.11192e10i | −0.588212 | − | 0.0662756i | ||||
\(641\) | 8.32136e10 | + | 5.22866e10i | 0.492904 | + | 0.309712i | 0.755449 | − | 0.655208i | \(-0.227419\pi\) |
−0.262545 | + | 0.964920i | \(0.584562\pi\) | |||||||
\(642\) | 6.79830e10 | + | 1.55167e10i | 0.400185 | + | 0.0913395i | ||||
\(643\) | −1.64258e11 | + | 1.30992e11i | −0.960911 | + | 0.766301i | −0.972325 | − | 0.233634i | \(-0.924938\pi\) |
0.0114136 | + | 0.999935i | \(0.496367\pi\) | |||||||
\(644\) | −1.37253e10 | − | 1.09456e10i | −0.0797956 | − | 0.0636348i | ||||
\(645\) | 8.22842e10 | + | 3.60511e11i | 0.475420 | + | 2.08295i | ||||
\(646\) | 2.22210e11 | + | 7.77546e10i | 1.27595 | + | 0.446474i | ||||
\(647\) | 8.66072e10 | + | 1.79842e11i | 0.494239 | + | 1.02630i | 0.987675 | + | 0.156516i | \(0.0500263\pi\) |
−0.493436 | + | 0.869782i | \(0.664259\pi\) | |||||||
\(648\) | 4.39029e11 | − | 2.75860e11i | 2.48997 | − | 1.56455i | ||||
\(649\) | −6.19093e10 | + | 2.16630e10i | −0.348961 | + | 0.122107i | ||||
\(650\) | 1.17159e10 | + | 1.17159e10i | 0.0656330 | + | 0.0656330i | ||||
\(651\) | −1.60081e10 | + | 3.32412e10i | −0.0891285 | + | 0.185077i | ||||
\(652\) | 6.61808e9 | + | 5.87370e10i | 0.0366219 | + | 0.325029i | ||||
\(653\) | −1.05869e11 | + | 1.19286e10i | −0.582261 | + | 0.0656050i | −0.398182 | − | 0.917306i | \(-0.630359\pi\) |
−0.184079 | + | 0.982912i | \(0.558930\pi\) | |||||||
\(654\) | −2.85551e11 | − | 1.37514e11i | −1.56089 | − | 0.751686i | ||||
\(655\) | −9.39829e10 | + | 9.39829e10i | −0.510603 | + | 0.510603i | ||||
\(656\) | −2.67268e10 | − | 7.63809e10i | −0.144322 | − | 0.412448i | ||||
\(657\) | −3.62952e11 | − | 5.77636e11i | −1.94800 | − | 3.10022i | ||||
\(658\) | 2.60046e10 | − | 1.25232e10i | 0.138722 | − | 0.0668052i | ||||
\(659\) | 3.22051e10 | − | 9.20368e10i | 0.170759 | − | 0.488000i | −0.826421 | − | 0.563053i | \(-0.809627\pi\) |
0.997180 | + | 0.0750526i | \(0.0239125\pi\) | |||||||
\(660\) | 1.51761e10 | − | 3.46385e9i | 0.0799806 | − | 0.0182550i | ||||
\(661\) | −7.45735e10 | + | 9.35122e10i | −0.390642 | + | 0.489849i | −0.937798 | − | 0.347181i | \(-0.887139\pi\) |
0.547156 | + | 0.837030i | \(0.315710\pi\) | |||||||
\(662\) | −1.17545e11 | − | 1.47397e11i | −0.612029 | − | 0.767460i | ||||
\(663\) | 9.93190e10 | − | 4.35145e11i | 0.514018 | − | 2.25206i | ||||
\(664\) | 1.53339e11 | − | 2.44037e11i | 0.788822 | − | 1.25540i | ||||
\(665\) | 2.77899e10 | − | 2.46642e11i | 0.142102 | − | 1.26119i | ||||
\(666\) | − | 6.95465e11i | − | 3.53491i | ||||||
\(667\) | −2.19966e10 | − | 1.17192e11i | −0.111135 | − | 0.592101i | ||||
\(668\) | −6.87346e10 | −0.345199 | ||||||||
\(669\) | −5.20967e11 | − | 5.86989e10i | −2.60079 | − | 0.293039i | ||||
\(670\) | 8.91342e10 | + | 5.60067e10i | 0.442329 | + | 0.277934i | ||||
\(671\) | 7.35943e10 | + | 1.67974e10i | 0.363040 | + | 0.0828615i | ||||
\(672\) | −9.95319e10 | + | 7.93741e10i | −0.488074 | + | 0.389226i | ||||
\(673\) | 3.84111e10 | + | 3.06318e10i | 0.187239 | + | 0.149318i | 0.712623 | − | 0.701547i | \(-0.247507\pi\) |
−0.525384 | + | 0.850865i | \(0.676078\pi\) | |||||||
\(674\) | 1.70116e10 | + | 7.45327e10i | 0.0824339 | + | 0.361166i | ||||
\(675\) | −4.57956e10 | − | 1.60246e10i | −0.220601 | − | 0.0771918i | ||||
\(676\) | 9.35647e9 | + | 1.94289e10i | 0.0448049 | + | 0.0930383i | ||||
\(677\) | 6.81476e10 | − | 4.28200e10i | 0.324411 | − | 0.203841i | −0.359973 | − | 0.932963i | \(-0.617214\pi\) |
0.684384 | + | 0.729122i | \(0.260071\pi\) | |||||||
\(678\) | −9.74246e10 | + | 3.40904e10i | −0.461052 | + | 0.161329i | ||||
\(679\) | 1.14462e10 | + | 1.14462e10i | 0.0538497 | + | 0.0538497i | ||||
\(680\) | 9.48750e10 | − | 1.97010e11i | 0.443727 | − | 0.921409i | ||||
\(681\) | −1.51735e10 | − | 1.34668e11i | −0.0705499 | − | 0.626148i | ||||
\(682\) | 5.73565e9 | − | 6.46253e8i | 0.0265122 | − | 0.00298720i | ||||
\(683\) | 2.31254e11 | + | 1.11366e11i | 1.06269 | + | 0.511764i | 0.881744 | − | 0.471729i | \(-0.156370\pi\) |
0.180946 | + | 0.983493i | \(0.442084\pi\) | |||||||
\(684\) | 1.12635e11 | − | 1.12635e11i | 0.514577 | − | 0.514577i | ||||
\(685\) | −1.40241e10 | − | 4.00786e10i | −0.0636961 | − | 0.182033i | ||||
\(686\) | 1.14226e11 | + | 1.81789e11i | 0.515783 | + | 0.820864i | ||||
\(687\) | −1.47337e11 | + | 7.09539e10i | −0.661433 | + | 0.318529i | ||||
\(688\) | −6.79690e10 | + | 1.94244e11i | −0.303359 | + | 0.866950i | ||||
\(689\) | −3.92528e10 | + | 8.95919e9i | −0.174178 | + | 0.0397550i | ||||
\(690\) | −1.36971e11 | + | 1.71756e11i | −0.604271 | + | 0.757732i | ||||
\(691\) | 5.37257e10 | + | 6.73698e10i | 0.235651 | + | 0.295497i | 0.885570 | − | 0.464507i | \(-0.153768\pi\) |
−0.649918 | + | 0.760004i | \(0.725197\pi\) | |||||||
\(692\) | −8.17312e9 | + | 3.58088e10i | −0.0356421 | + | 0.156158i | ||||
\(693\) | −6.39245e10 | + | 1.01735e11i | −0.277162 | + | 0.441102i | ||||
\(694\) | −1.68237e10 | + | 1.49315e11i | −0.0725244 | + | 0.643672i | ||||
\(695\) | 7.68720e10i | 0.329480i | ||||||||
\(696\) | −4.70024e11 | − | 1.82750e10i | −2.00301 | − | 0.0778788i | ||||
\(697\) | 1.33524e11 | 0.565753 | ||||||||
\(698\) | 1.11466e11 | + | 1.25593e10i | 0.469594 | + | 0.0529105i | ||||
\(699\) | −2.04257e11 | − | 1.28343e11i | −0.855593 | − | 0.537605i | ||||
\(700\) | 3.30682e9 | + | 7.54760e8i | 0.0137727 | + | 0.00314352i | ||||
\(701\) | 2.40629e11 | − | 1.91895e11i | 0.996497 | − | 0.794680i | 0.0177688 | − | 0.999842i | \(-0.494344\pi\) |
0.978728 | + | 0.205163i | \(0.0657723\pi\) | |||||||
\(702\) | 5.92379e11 | + | 4.72407e11i | 2.43922 | + | 1.94521i | ||||
\(703\) | −1.29217e11 | − | 5.66136e11i | −0.529051 | − | 2.31792i | ||||
\(704\) | 6.11808e10 | + | 2.14081e10i | 0.249072 | + | 0.0871539i | ||||
\(705\) | 3.74628e10 | + | 7.77922e10i | 0.151650 | + | 0.314905i | ||||
\(706\) | 3.56120e10 | − | 2.23765e10i | 0.143343 | − | 0.0900685i | ||||
\(707\) | −2.21505e11 | + | 7.75079e10i | −0.886555 | + | 0.310219i | ||||
\(708\) | 9.98276e10 | + | 9.98276e10i | 0.397299 | + | 0.397299i | ||||
\(709\) | 6.24907e10 | − | 1.29763e11i | 0.247304 | − | 0.513531i | −0.739955 | − | 0.672657i | \(-0.765153\pi\) |
0.987258 | + | 0.159125i | \(0.0508674\pi\) | |||||||
\(710\) | 3.16753e10 | + | 2.81126e11i | 0.124649 | + | 1.10629i | ||||
\(711\) | 8.11931e11 | − | 9.14827e10i | 3.17717 | − | 0.357981i | ||||
\(712\) | −8.67417e10 | − | 4.17726e10i | −0.337526 | − | 0.162544i | ||||
\(713\) | 1.37694e10 | − | 1.37694e10i | 0.0532790 | − | 0.0532790i | ||||
\(714\) | 1.26239e11 | + | 3.60771e11i | 0.485737 | + | 1.38816i | ||||
\(715\) | 3.91666e10 | + | 6.23332e10i | 0.149862 | + | 0.238504i | ||||
\(716\) | −9.15194e9 | + | 4.40734e9i | −0.0348226 | + | 0.0167697i | ||||
\(717\) | −9.77325e10 | + | 2.79304e11i | −0.369796 | + | 1.05682i | ||||
\(718\) | −7.06288e10 | + | 1.61206e10i | −0.265757 | + | 0.0606572i | ||||
\(719\) | −1.02062e11 | + | 1.27982e11i | −0.381900 | + | 0.478887i | −0.935213 | − | 0.354086i | \(-0.884792\pi\) |
0.553313 | + | 0.832973i | \(0.313363\pi\) | |||||||
\(720\) | 3.08556e11 | + | 3.86917e11i | 1.14816 | + | 1.43975i | ||||
\(721\) | 1.42862e10 | − | 6.25919e10i | 0.0528658 | − | 0.231620i | ||||
\(722\) | −1.66129e11 | + | 2.64393e11i | −0.611359 | + | 0.972973i | ||||
\(723\) | −6.19918e10 | + | 5.50193e11i | −0.226872 | + | 2.01355i | ||||
\(724\) | 1.09160e10i | 0.0397293i | ||||||||
\(725\) | 1.36534e10 | + | 1.85564e10i | 0.0494183 | + | 0.0671647i | ||||
\(726\) | −4.40492e11 | −1.58559 | ||||||||
\(727\) | −1.47000e11 | − | 1.65630e10i | −0.526236 | − | 0.0592926i | −0.155150 | − | 0.987891i | \(-0.549586\pi\) |
−0.371086 | + | 0.928598i | \(0.621015\pi\) | |||||||
\(728\) | −2.77314e11 | − | 1.74248e11i | −0.987293 | − | 0.620358i | ||||
\(729\) | −4.44231e11 | − | 1.01393e11i | −1.57289 | − | 0.359002i | ||||
\(730\) | 2.79850e11 | − | 2.23173e11i | 0.985447 | − | 0.785868i | ||||
\(731\) | −2.65482e11 | − | 2.11715e11i | −0.929748 | − | 0.741449i | ||||
\(732\) | −3.61552e10 | − | 1.58406e11i | −0.125929 | − | 0.551732i | ||||
\(733\) | 4.92566e11 | + | 1.72356e11i | 1.70627 | + | 0.597051i | 0.994441 | − | 0.105298i | \(-0.0335798\pi\) |
0.711833 | + | 0.702349i | \(0.247866\pi\) | |||||||
\(734\) | −1.49757e11 | − | 3.10974e11i | −0.515945 | − | 1.07137i | ||||
\(735\) | −1.01306e11 | + | 6.36549e10i | −0.347126 | + | 0.218113i | ||||
\(736\) | 6.34205e10 | − | 2.21918e10i | 0.216132 | − | 0.0756277i | ||||
\(737\) | −3.00873e10 | − | 3.00873e10i | −0.101979 | − | 0.101979i | ||||
\(738\) | −1.63976e11 | + | 3.40500e11i | −0.552783 | + | 1.14787i | ||||
\(739\) | 1.67954e9 | + | 1.49063e10i | 0.00563135 | + | 0.0499796i | 0.996214 | − | 0.0869393i | \(-0.0277086\pi\) |
−0.990582 | + | 0.136919i | \(0.956280\pi\) | |||||||
\(740\) | −8.66826e10 | + | 9.76678e9i | −0.289071 | + | 0.0325705i | ||||
\(741\) | 9.50369e11 | + | 4.57674e11i | 3.15224 | + | 1.51804i | ||||
\(742\) | 2.43800e10 | − | 2.43800e10i | 0.0804301 | − | 0.0804301i | ||||
\(743\) | −4.58665e10 | − | 1.31079e11i | −0.150501 | − | 0.430108i | 0.843807 | − | 0.536646i | \(-0.180309\pi\) |
−0.994309 | + | 0.106538i | \(0.966023\pi\) | |||||||
\(744\) | −4.08694e10 | − | 6.50432e10i | −0.133385 | − | 0.212281i | ||||
\(745\) | −1.63989e11 | + | 7.89730e10i | −0.532341 | + | 0.256362i | ||||
\(746\) | 2.78925e10 | − | 7.97121e10i | 0.0900599 | − | 0.257376i | ||||
\(747\) | −1.04931e12 | + | 2.39498e11i | −3.36993 | + | 0.769165i | ||||
\(748\) | −8.91237e9 | + | 1.11758e10i | −0.0284699 | + | 0.0357002i | ||||
\(749\) | 4.20915e10 | + | 5.27811e10i | 0.133742 | + | 0.167707i | ||||
\(750\) | 1.22712e11 | − | 5.37637e11i | 0.387831 | − | 1.69920i | ||||
\(751\) | 2.05962e11 | − | 3.27787e11i | 0.647482 | − | 1.03046i | −0.348181 | − | 0.937427i | \(-0.613201\pi\) |
0.995663 | − | 0.0930342i | \(-0.0296566\pi\) | |||||||
\(752\) | −5.38010e9 | + | 4.77498e10i | −0.0168236 | + | 0.149314i | ||||
\(753\) | 4.82816e11i | 1.50176i | ||||||||
\(754\) | −1.05542e11 | − | 3.43943e11i | −0.326544 | − | 1.06415i | ||||
\(755\) | 2.77773e11 | 0.854874 | ||||||||
\(756\) | 1.54133e11 | + | 1.73666e10i | 0.471854 | + | 0.0531652i | ||||
\(757\) | 2.14878e11 | + | 1.35017e11i | 0.654347 | + | 0.411153i | 0.817883 | − | 0.575384i | \(-0.195147\pi\) |
−0.163537 | + | 0.986537i | \(0.552290\pi\) | |||||||
\(758\) | −2.29759e11 | − | 5.24410e10i | −0.695978 | − | 0.158852i | ||||
\(759\) | 6.94237e10 | − | 5.53635e10i | 0.209190 | − | 0.166823i | ||||
\(760\) | 4.04029e11 | + | 3.22203e11i | 1.21104 | + | 0.965773i | ||||
\(761\) | −1.04971e11 | − | 4.59909e11i | −0.312991 | − | 1.37130i | −0.849580 | − | 0.527459i | \(-0.823145\pi\) |
0.536589 | − | 0.843843i | \(-0.319712\pi\) | |||||||
\(762\) | −4.56377e11 | − | 1.59693e11i | −1.35364 | − | 0.473660i | ||||
\(763\) | −1.33133e11 | − | 2.76453e11i | −0.392814 | − | 0.815686i | ||||
\(764\) | −3.92217e10 | + | 2.46446e10i | −0.115121 | + | 0.0723351i | ||||
\(765\) | −7.70752e11 | + | 2.69698e11i | −2.25045 | + | 0.787465i | ||||
\(766\) | 1.00885e11 | + | 1.00885e11i | 0.293029 | + | 0.293029i | ||||
\(767\) | −2.89687e11 | + | 6.01541e11i | −0.837043 | + | 1.73814i | ||||
\(768\) | −4.04983e10 | − | 3.59433e11i | −0.116411 | − | 1.03317i | ||||
\(769\) | −4.35431e9 | + | 4.90613e8i | −0.0124513 | + | 0.00140292i | −0.118188 | − | 0.992991i | \(-0.537709\pi\) |
0.105737 | + | 0.994394i | \(0.466280\pi\) | |||||||
\(770\) | −5.67988e10 | − | 2.73529e10i | −0.161576 | − | 0.0778108i | ||||
\(771\) | 8.84705e10 | − | 8.84705e10i | 0.250369 | − | 0.250369i | ||||
\(772\) | 3.99226e10 | + | 1.14092e11i | 0.112396 | + | 0.321209i | ||||
\(773\) | 7.41783e10 | + | 1.18054e11i | 0.207759 | + | 0.330646i | 0.934307 | − | 0.356469i | \(-0.116020\pi\) |
−0.726548 | + | 0.687115i | \(0.758877\pi\) | |||||||
\(774\) | 8.65924e11 | − | 4.17007e11i | 2.41277 | − | 1.16193i | ||||
\(775\) | −1.24262e9 | + | 3.55121e9i | −0.00344455 | + | 0.00984396i | ||||
\(776\) | −3.28582e10 | + | 7.49966e9i | −0.0906142 | + | 0.0206821i | ||||
\(777\) | 5.87821e11 | − | 7.37104e11i | 1.61273 | − | 2.02230i | ||||
\(778\) | 5.29469e10 | + | 6.63933e10i | 0.144518 | + | 0.181220i | ||||
\(779\) | −7.02183e10 | + | 3.07647e11i | −0.190678 | + | 0.835415i | ||||
\(780\) | 8.43031e10 | − | 1.34168e11i | 0.227754 | − | 0.362468i | ||||
\(781\) | 1.28031e10 | − | 1.13631e11i | 0.0344122 | − | 0.305416i | ||||
\(782\) | − | 2.01732e11i | − | 0.539446i | ||||||
\(783\) | 7.15446e11 | + | 7.73331e11i | 1.90340 | + | 2.05740i | ||||
\(784\) | −6.65853e10 | −0.176244 | ||||||||
\(785\) | −3.91430e11 | − | 4.41036e10i | −1.03080 | − | 0.116144i | ||||
\(786\) | 4.09575e11 | + | 2.57353e11i | 1.07311 | + | 0.674277i | ||||
\(787\) | 2.39263e11 | + | 5.46103e10i | 0.623702 | + | 0.142356i | 0.522681 | − | 0.852528i | \(-0.324932\pi\) |
0.101021 | + | 0.994884i | \(0.467789\pi\) | |||||||
\(788\) | −7.86917e10 | + | 6.27546e10i | −0.204091 | + | 0.162757i | ||||
\(789\) | −9.08503e11 | − | 7.24507e11i | −2.34433 | − | 1.86954i | ||||
\(790\) | 9.53958e10 | + | 4.17956e11i | 0.244918 | + | 1.07306i | ||||
\(791\) | −9.43205e10 | − | 3.30042e10i | −0.240935 | − | 0.0843069i | ||||
\(792\) | −1.08542e11 | − | 2.25389e11i | −0.275864 | − | 0.572838i | ||||
\(793\) | 6.50626e11 | − | 4.08816e11i | 1.64528 | − | 1.03380i | ||||
\(794\) | 1.99538e11 | − | 6.98215e10i | 0.502047 | − | 0.175674i | ||||
\(795\) | 7.29324e10 | + | 7.29324e10i | 0.182579 | + | 0.182579i | ||||
\(796\) | 7.24368e9 | − | 1.50416e10i | 0.0180429 | − | 0.0374665i | ||||
\(797\) | −1.48209e10 | − | 1.31539e11i | −0.0367318 | − | 0.326003i | −0.998618 | − | 0.0525538i | \(-0.983264\pi\) |
0.961886 | − | 0.273450i | \(-0.0881647\pi\) | |||||||
\(798\) | −8.97625e11 | + | 1.01138e11i | −2.21352 | + | 0.249404i | ||||
\(799\) | −7.14352e10 | − | 3.44014e10i | −0.175277 | − | 0.0844089i | ||||
\(800\) | −9.17963e9 | + | 9.17963e9i | −0.0224112 | + | 0.0224112i | ||||
\(801\) | 1.18745e11 | + | 3.39355e11i | 0.288461 | + | 0.824373i | ||||
\(802\) | 2.53864e11 | + | 4.04023e11i | 0.613627 | + | 0.976582i | ||||
\(803\) | −1.30352e11 | + | 6.27741e10i | −0.313512 | + | 0.150980i | ||||
\(804\) | −3.02487e10 | + | 8.64458e10i | −0.0723906 | + | 0.206881i | ||||
\(805\) | −2.07352e11 | + | 4.73268e10i | −0.493771 | + | 0.112700i | ||||
\(806\) | 3.66327e10 | − | 4.59360e10i | 0.0868019 | − | 0.108846i | ||||
\(807\) | −5.09143e11 | − | 6.38445e11i | −1.20045 | − | 1.50532i | ||||
\(808\) | 1.08725e11 | − | 4.76355e11i | 0.255084 | − | 1.11760i | ||||
\(809\) | −1.16818e11 | + | 1.85914e11i | −0.272719 | + | 0.434029i | −0.954801 | − | 0.297246i | \(-0.903932\pi\) |
0.682082 | + | 0.731276i | \(0.261075\pi\) | |||||||
\(810\) | 1.13749e11 | − | 1.00955e12i | 0.264246 | − | 2.34525i | ||||
\(811\) | 7.26425e11i | 1.67922i | 0.543190 | + | 0.839610i | \(0.317216\pi\) | ||||
−0.543190 | + | 0.839610i | \(0.682784\pi\) | |||||||
\(812\) | −5.57547e10 | − | 4.81228e10i | −0.128250 | − | 0.110695i | ||||
\(813\) | −5.05886e11 | −1.15795 | ||||||||
\(814\) | −1.46565e11 | − | 1.65139e10i | −0.333836 | − | 0.0376143i | ||||
\(815\) | 6.06347e11 | + | 3.80993e11i | 1.37433 | + | 0.863548i | ||||
\(816\) | −6.20377e11 | − | 1.41597e11i | −1.39925 | − | 0.319369i | ||||
\(817\) | 6.27416e11 | − | 5.00348e11i | 1.40821 | − | 1.12301i | ||||
\(818\) | 1.04071e11 | + | 8.29942e10i | 0.232444 | + | 0.185368i | ||||
\(819\) | 2.72156e11 | + | 1.19239e12i | 0.604899 | + | 2.65023i | ||||
\(820\) | 4.47426e10 | + | 1.56561e10i | 0.0989613 | + | 0.0346281i | ||||
\(821\) | 8.31049e10 | + | 1.72569e11i | 0.182917 | + | 0.379831i | 0.972184 | − | 0.234219i | \(-0.0752534\pi\) |
−0.789267 | + | 0.614050i | \(0.789539\pi\) | |||||||
\(822\) | −1.30847e11 | + | 8.22165e10i | −0.286600 | + | 0.180083i | ||||
\(823\) | 3.48699e11 | − | 1.22015e11i | 0.760067 | − | 0.265959i | 0.0777080 | − | 0.996976i | \(-0.475240\pi\) |
0.682359 | + | 0.731017i | \(0.260954\pi\) | |||||||
\(824\) | 9.45199e10 | + | 9.45199e10i | 0.205029 | + | 0.205029i | ||||
\(825\) | −7.44383e9 | + | 1.54573e10i | −0.0160687 | + | 0.0333670i | ||||
\(826\) | −6.40158e10 | − | 5.68156e11i | −0.137520 | − | 1.22053i | ||||
\(827\) | −3.72402e11 | + | 4.19596e10i | −0.796140 | + | 0.0897034i | −0.500658 | − | 0.865645i | \(-0.666909\pi\) |
−0.295482 | + | 0.955348i | \(0.595480\pi\) | |||||||
\(828\) | −1.22979e11 | − | 5.92233e10i | −0.261642 | − | 0.126000i | ||||
\(829\) | 2.71858e11 | − | 2.71858e11i | 0.575605 | − | 0.575605i | −0.358084 | − | 0.933689i | \(-0.616570\pi\) |
0.933689 | + | 0.358084i | \(0.116570\pi\) | |||||||
\(830\) | −1.86514e11 | − | 5.33027e11i | −0.393006 | − | 1.12315i | ||||
\(831\) | 1.88059e11 | + | 2.99294e11i | 0.394358 | + | 0.627616i | ||||
\(832\) | 5.94462e11 | − | 2.86278e11i | 1.24060 | − | 0.597440i | ||||
\(833\) | 3.62870e10 | − | 1.03702e11i | 0.0753652 | − | 0.215381i | ||||
\(834\) | 2.72752e11 | − | 6.22538e10i | 0.563772 | − | 0.128677i | ||||
\(835\) | −5.19197e11 | + | 6.51053e11i | −1.06804 | + | 1.33928i | ||||
\(836\) | −2.10627e10 | − | 2.64118e10i | −0.0431210 | − | 0.0540721i | ||||
\(837\) | −3.82847e10 | + | 1.67736e11i | −0.0780052 | + | 0.341763i | ||||
\(838\) | 2.77750e10 | − | 4.42037e10i | 0.0563221 | − | 0.0896361i | ||||
\(839\) | 9.26092e10 | − | 8.21929e11i | 0.186899 | − | 1.65877i | −0.453893 | − | 0.891056i | \(-0.649965\pi\) |
0.640791 | − | 0.767715i | \(-0.278606\pi\) | |||||||
\(840\) | 8.39010e11i | 1.68520i | ||||||||
\(841\) | −7.31118e10 | − | 4.94875e11i | −0.146151 | − | 0.989262i | ||||
\(842\) | −4.74133e11 | −0.943304 | ||||||||
\(843\) | 1.71162e12 | + | 1.92853e11i | 3.38919 | + | 0.381870i | ||||
\(844\) | −4.70968e10 | − | 2.95929e10i | −0.0928157 | − | 0.0583200i | ||||
\(845\) | 2.54706e11 | + | 5.81349e10i | 0.499588 | + | 0.114028i | ||||
\(846\) | 1.75454e11 | − | 1.39920e11i | 0.342517 | − | 0.273148i | ||||
\(847\) | −3.33418e11 | − | 2.65892e11i | −0.647821 | − | 0.516620i | ||||
\(848\) | 1.27729e10 | + | 5.59618e10i | 0.0247006 | + | 0.108220i | ||||
\(849\) | −1.25832e12 | − | 4.40307e11i | −2.42193 | − | 0.847470i | ||||
\(850\) | 1.69113e10 | + | 3.51167e10i | 0.0323968 | + | 0.0672726i | ||||
\(851\) | −4.21327e11 | + | 2.64737e11i | −0.803344 | + | 0.504774i | ||||
\(852\) | −2.32318e11 | + | 8.12914e10i | −0.440883 | + | 0.154272i | ||||
\(853\) | −6.77094e11 | − | 6.77094e11i | −1.27895 | − | 1.27895i | −0.941257 | − | 0.337691i | \(-0.890354\pi\) |
−0.337691 | − | 0.941257i | \(-0.609646\pi\) | |||||||
\(854\) | −2.85506e11 | + | 5.92859e11i | −0.536764 | + | 1.11460i | ||||
\(855\) | −2.16072e11 | − | 1.91769e12i | −0.404327 | − | 3.58851i | ||||
\(856\) | −1.39675e11 | + | 1.57376e10i | −0.260150 | + | 0.0293119i | ||||
\(857\) | 7.58033e11 | + | 3.65049e11i | 1.40529 | + | 0.676750i | 0.974226 | − | 0.225573i | \(-0.0724255\pi\) |
0.431060 | + | 0.902323i | \(0.358140\pi\) | |||||||
\(858\) | 1.89448e11 | − | 1.89448e11i | 0.349575 | − | 0.349575i | ||||
\(859\) | −6.72169e10 | − | 1.92095e11i | −0.123454 | − | 0.352812i | 0.865525 | − | 0.500865i | \(-0.166985\pi\) |
−0.988979 | + | 0.148054i | \(0.952699\pi\) | |||||||
\(860\) | −6.41363e10 | − | 1.02072e11i | −0.117249 | − | 0.186601i | ||||
\(861\) | −4.61591e11 | + | 2.22290e11i | −0.839932 | + | 0.404490i | ||||
\(862\) | 2.77086e10 | − | 7.91867e10i | 0.0501864 | − | 0.143424i | ||||
\(863\) | 9.76669e10 | − | 2.22918e10i | 0.176078 | − | 0.0401886i | −0.133573 | − | 0.991039i | \(-0.542645\pi\) |
0.309651 | + | 0.950850i | \(0.399788\pi\) | |||||||
\(864\) | −3.70140e11 | + | 4.64141e11i | −0.664218 | + | 0.832903i | ||||
\(865\) | 2.77443e11 | + | 3.47902e11i | 0.495575 | + | 0.621431i | ||||
\(866\) | −1.02856e11 | + | 4.50643e11i | −0.182877 | + | 0.801236i | ||||
\(867\) | −3.66783e9 | + | 5.83732e9i | −0.00649132 | + | 0.0103309i | ||||
\(868\) | 1.34669e9 | − | 1.19522e10i | 0.00237240 | − | 0.0210557i | ||||
\(869\) | − | 1.73282e11i | − | 0.303861i | ||||||
\(870\) | −6.02200e11 | + | 6.97705e11i | −1.05115 | + | 1.21785i | ||||
\(871\) | −4.33127e11 | −0.752563 | ||||||||
\(872\) | 6.34841e11 | + | 7.15294e10i | 1.09799 | + | 0.123714i | ||||
\(873\) | 1.06569e11 | + | 6.69616e10i | 0.183473 | + | 0.115284i | ||||
\(874\) | 4.64803e11 | + | 1.06088e11i | 0.796568 | + | 0.181811i | ||||
\(875\) | 4.17415e11 | − | 3.32877e11i | 0.712091 | − | 0.567873i | ||||
\(876\) | 2.43471e11 | + | 1.94162e11i | 0.413458 | + | 0.329722i | ||||
\(877\) | 9.91589e10 | + | 4.34444e11i | 0.167623 | + | 0.734404i | 0.986943 | + | 0.161068i | \(0.0514939\pi\) |
−0.819320 | + | 0.573336i | \(0.805649\pi\) | |||||||
\(878\) | −1.90280e11 | − | 6.65819e10i | −0.320196 | − | 0.112041i | ||||
\(879\) | 2.77403e10 | + | 5.76034e10i | 0.0464682 | + | 0.0964923i | ||||
\(880\) | 8.88672e10 | − | 5.58389e10i | 0.148187 | − | 0.0931122i | ||||
\(881\) | 1.33068e11 | − | 4.65624e10i | 0.220886 | − | 0.0772915i | −0.217567 | − | 0.976045i | \(-0.569812\pi\) |
0.438454 | + | 0.898754i | \(0.355526\pi\) | |||||||
\(882\) | 2.19889e11 | + | 2.19889e11i | 0.363353 | + | 0.363353i | ||||
\(883\) | −3.07249e11 | + | 6.38009e11i | −0.505414 | + | 1.04950i | 0.479673 | + | 0.877447i | \(0.340755\pi\) |
−0.985087 | + | 0.172056i | \(0.944959\pi\) | |||||||
\(884\) | 1.62915e10 | + | 1.44591e11i | 0.0266780 | + | 0.236773i | ||||
\(885\) | 1.69963e12 | − | 1.91502e11i | 2.77064 | − | 0.312177i | ||||
\(886\) | −6.30203e11 | − | 3.03490e11i | −1.02269 | − | 0.492503i | ||||
\(887\) | −3.21637e11 | + | 3.21637e11i | −0.519602 | + | 0.519602i | −0.917451 | − | 0.397849i | \(-0.869757\pi\) |
0.397849 | + | 0.917451i | \(0.369757\pi\) | |||||||
\(888\) | 6.48320e11 | + | 1.85279e12i | 1.04265 | + | 2.97972i | ||||
\(889\) | −2.49047e11 | − | 3.96356e11i | −0.398726 | − | 0.634568i | ||||
\(890\) | −1.69959e11 | + | 8.18481e10i | −0.270885 | + | 0.130451i | ||||
\(891\) | −1.35627e11 | + | 3.87599e11i | −0.215196 | + | 0.614995i | ||||
\(892\) | 1.66626e11 | − | 3.80313e10i | 0.263198 | − | 0.0600733i | ||||
\(893\) | 1.16830e11 | − | 1.46500e11i | 0.183716 | − | 0.230373i | ||||
\(894\) | 4.13011e11 | + | 5.17900e11i | 0.646565 | + | 0.810766i | ||||
\(895\) | −2.73843e10 | + | 1.19979e11i | −0.0426786 | + | 0.186987i | ||||
\(896\) | −1.86164e11 | + | 2.96278e11i | −0.288844 | + | 0.459693i | ||||
\(897\) | 1.01203e11 | − | 8.98199e11i | 0.156323 | − | 1.38740i | ||||
\(898\) | 7.76541e11i | 1.19415i | ||||||||
\(899\) | 5.99679e10 | − | 5.54792e10i | 0.0918078 | − | 0.0849359i | ||||
\(900\) | 2.63723e10 | 0.0401956 | ||||||||
\(901\) | −9.41178e10 | − | 1.06045e10i | −0.142815 | − | 0.0160913i | ||||
\(902\) | 6.78647e10 | + | 4.26422e10i | 0.102522 | + | 0.0644190i | ||||
\(903\) | 1.27023e12 | + | 2.89922e11i | 1.91043 | + | 0.436044i | ||||
\(904\) | 1.62665e11 | − | 1.29721e11i | 0.243568 | − | 0.194239i | ||||
\(905\) | 1.03397e11 | + | 8.24560e10i | 0.154139 | + | 0.122922i | ||||
\(906\) | −2.24951e11 | − | 9.85575e11i | −0.333868 | − | 1.46277i | ||||
\(907\) | −4.31156e10 | − | 1.50868e10i | −0.0637097 | − | 0.0222930i | 0.298236 | − | 0.954492i | \(-0.403602\pi\) |
−0.361946 | + | 0.932199i | \(0.617887\pi\) | |||||||
\(908\) | 1.91690e10 | + | 3.98047e10i | 0.0282004 | + | 0.0585587i | ||||
\(909\) | −1.54496e12 | + | 9.70763e11i | −2.26288 | + | 1.42186i | ||||
\(910\) | −6.05711e11 | + | 2.11947e11i | −0.883283 | + | 0.309074i | ||||
\(911\) | −5.39079e11 | − | 5.39079e11i | −0.782670 | − | 0.782670i | 0.197611 | − | 0.980281i | \(-0.436682\pi\) |
−0.980281 | + | 0.197611i | \(0.936682\pi\) | |||||||
\(912\) | 6.52496e11 | − | 1.35492e12i | 0.943188 | − | 1.95855i | ||||
\(913\) | 2.55568e10 | + | 2.26823e11i | 0.0367810 | + | 0.326440i | ||||
\(914\) | −8.03478e11 | + | 9.05302e10i | −1.15130 | + | 0.129721i | ||||
\(915\) | −1.77352e12 | − | 8.54084e11i | −2.53019 | − | 1.21847i | ||||
\(916\) | 3.76971e10 | − | 3.76971e10i | 0.0535459 | − | 0.0535459i | ||||
\(917\) | 1.54671e11 | + | 4.42025e11i | 0.218742 | + | 0.625129i | ||||
\(918\) | 9.48283e11 | + | 1.50918e12i | 1.33526 | + | 2.12506i | ||||
\(919\) | 4.36900e11 | − | 2.10400e11i | 0.612520 | − | 0.294974i | −0.101787 | − | 0.994806i | \(-0.532456\pi\) |
0.714307 | + | 0.699832i | \(0.246742\pi\) | |||||||
\(920\) | 1.46255e11 | − | 4.17973e11i | 0.204155 | − | 0.583440i | ||||
\(921\) | −1.06658e12 | + | 2.43439e11i | −1.48236 | + | 0.338339i | ||||
\(922\) | 1.23148e10 | − | 1.54422e10i | 0.0170413 | − | 0.0213691i | ||||
\(923\) | −7.25743e11 | − | 9.10053e11i | −0.999945 | − | 1.25389i | ||||
\(924\) | 1.22046e10 | − | 5.34718e10i | 0.0167431 | − | 0.0733563i | ||||
\(925\) | 5.11499e10 | − | 8.14045e10i | 0.0698679 | − | 0.111194i | ||||
\(926\) | 1.86926e9 | − | 1.65901e10i | 0.00254229 | − | 0.0225635i | ||||
\(927\) | − | 4.99178e11i | − | 0.675985i | ||||||
\(928\) | 2.69486e11 | − | 8.26945e10i | 0.363367 | − | 0.111502i | ||||
\(929\) | 4.75999e11 | 0.639063 | 0.319531 | − | 0.947576i | \(-0.396475\pi\) | ||||
0.319531 | + | 0.947576i | \(0.396475\pi\) | |||||||
\(930\) | −1.49568e11 | − | 1.68522e10i | −0.199943 | − | 0.0225282i | ||||
\(931\) | 2.19853e11 | + | 1.38143e11i | 0.292641 | + | 0.183878i | ||||
\(932\) | 7.66702e10 | + | 1.74995e10i | 0.101616 | + | 0.0231932i | ||||
\(933\) | 1.64762e12 | − | 1.31393e12i | 2.17435 | − | 1.73399i | ||||
\(934\) | 5.45926e11 | + | 4.35362e11i | 0.717376 | + | 0.572088i | ||||
\(935\) | 3.85356e10 | + | 1.68835e11i | 0.0504215 | + | 0.220911i | ||||
\(936\) | −2.40358e12 | − | 8.41049e11i | −3.13152 | − | 1.09577i | ||||
\(937\) | −1.37201e11 | − | 2.84900e11i | −0.177991 | − | 0.369602i | 0.792817 | − | 0.609459i | \(-0.208613\pi\) |
−0.970808 | + | 0.239858i | \(0.922899\pi\) | |||||||
\(938\) | 3.14057e11 | − | 1.97335e11i | 0.405693 | − | 0.254914i | ||||
\(939\) | 9.72468e11 | − | 3.40281e11i | 1.25087 | − | 0.437699i | ||||
\(940\) | −1.99036e10 | − | 1.99036e10i | −0.0254930 | − | 0.0254930i | ||||
\(941\) | −5.80018e11 | + | 1.20442e12i | −0.739747 | + | 1.53610i | 0.101130 | + | 0.994873i | \(0.467754\pi\) |
−0.840877 | + | 0.541226i | \(0.817960\pi\) | |||||||
\(942\) | 1.60510e11 | + | 1.42456e12i | 0.203844 | + | 1.80917i | ||||
\(943\) | 2.68701e11 | − | 3.02754e10i | 0.339800 | − | 0.0382862i | ||||
\(944\) | 8.57605e11 | + | 4.13001e11i | 1.07994 | + | 0.520071i | ||||
\(945\) | 1.32876e12 | − | 1.32876e12i | 1.66617 | − | 1.66617i | ||||
\(946\) | −6.73203e10 | − | 1.92390e11i | −0.0840585 | − | 0.240225i | ||||
\(947\) | −2.63678e11 | − | 4.19641e11i | −0.327849 | − | 0.521768i | 0.641607 | − | 0.767033i | \(-0.278268\pi\) |
−0.969456 | + | 0.245265i | \(0.921125\pi\) | |||||||
\(948\) | −3.36040e11 | + | 1.61828e11i | −0.416062 | + | 0.200365i | ||||
\(949\) | −4.86414e11 | + | 1.39009e12i | −0.599710 | + | 1.71387i | ||||
\(950\) | −8.98044e10 | + | 2.04973e10i | −0.110256 | + | 0.0251653i | ||||
\(951\) | −8.30499e11 | + | 1.04141e12i | −1.01535 | + | 1.27321i | ||||
\(952\) | −4.80366e11 | − | 6.02360e11i | −0.584823 | − | 0.733345i | ||||
\(953\) | 1.60835e11 | − | 7.04664e11i | 0.194989 | − | 0.854301i | −0.778877 | − | 0.627176i | \(-0.784211\pi\) |
0.973866 | − | 0.227124i | \(-0.0729323\pi\) | |||||||
\(954\) | 1.42626e11 | − | 2.26987e11i | 0.172188 | − | 0.274036i | ||||
\(955\) | −6.28337e10 | + | 5.57664e11i | −0.0755403 | + | 0.670439i | ||||
\(956\) | − | 9.64669e10i | − | 0.115491i | ||||||
\(957\) | 3.00060e11 | − | 2.20777e11i | 0.357734 | − | 0.263213i | ||||
\(958\) | 3.32911e11 | 0.395244 | ||||||||
\(959\) | −1.48669e11 | − | 1.67509e10i | −0.175770 | − | 0.0198045i | ||||
\(960\) | −1.43118e12 | − | 8.99269e11i | −1.68504 | − | 1.05878i | ||||
\(961\) | −8.18500e11 | − | 1.86817e11i | −0.959677 | − | 0.219040i | ||||
\(962\) | −1.17382e12 | + | 9.36090e11i | −1.37057 | + | 1.09299i | ||||
\(963\) | 4.10383e11 | + | 3.27269e11i | 0.477182 | + | 0.380540i | ||||
\(964\) | −4.01648e10 | − | 1.75973e11i | −0.0465090 | − | 0.203769i | ||||
\(965\) | 1.38224e12 | + | 4.83667e11i | 1.59395 | + | 0.557747i | ||||
\(966\) | 3.35844e11 | + | 6.97386e11i | 0.385681 | + | 0.800875i | ||||
\(967\) | −6.63950e11 | + | 4.17187e11i | −0.759328 | + | 0.477117i | −0.855214 | − | 0.518275i | \(-0.826574\pi\) |
0.0958862 | + | 0.995392i | \(0.469432\pi\) | |||||||
\(968\) | 8.38082e11 | − | 2.93258e11i | 0.954520 | − | 0.334001i | ||||
\(969\) | 1.75461e12 | + | 1.75461e12i | 1.99015 | + | 1.99015i | ||||
\(970\) | −2.86524e10 | + | 5.94974e10i | −0.0323649 | + | 0.0672064i | ||||
\(971\) | −5.12037e10 | − | 4.54446e11i | −0.0576003 | − | 0.511217i | −0.989075 | − | 0.147411i | \(-0.952906\pi\) |
0.931475 | − | 0.363805i | \(-0.118523\pi\) | |||||||
\(972\) | 3.98667e11 | − | 4.49190e10i | 0.446627 | − | 0.0503228i | ||||
\(973\) | 2.44030e11 | + | 1.17518e11i | 0.272264 | + | 0.131116i | ||||
\(974\) | −4.92675e11 | + | 4.92675e11i | −0.547425 | + | 0.547425i | ||||
\(975\) | 5.76796e10 | + | 1.64839e11i | 0.0638269 | + | 0.182407i | ||||
\(976\) | −5.82840e11 | − | 9.27584e11i | −0.642318 | − | 1.02224i | ||||
\(977\) | 1.22595e12 | − | 5.90387e11i | 1.34554 | − | 0.647976i | 0.384173 | − | 0.923261i | \(-0.374487\pi\) |
0.961363 | + | 0.275285i | \(0.0887722\pi\) | |||||||
\(978\) | 8.60770e11 | − | 2.45994e12i | 0.940875 | − | 2.68887i | ||||
\(979\) | 7.43367e10 | − | 1.69669e10i | 0.0809231 | − | 0.0184702i | ||||
\(980\) | 2.43189e10 | − | 3.04949e10i | 0.0263657 | − | 0.0330615i | ||||
\(981\) | −1.48748e12 | − | 1.86524e12i | −1.60611 | − | 2.01400i | ||||
\(982\) | −3.06442e11 | + | 1.34261e12i | −0.329535 | + | 1.44379i | ||||
\(983\) | −2.47721e11 | + | 3.94245e11i | −0.265307 | + | 0.422233i | −0.952636 | − | 0.304113i | \(-0.901640\pi\) |
0.687329 | + | 0.726346i | \(0.258783\pi\) | |||||||
\(984\) | 1.19432e11 | − | 1.05999e12i | 0.127391 | − | 1.13063i | ||||
\(985\) | 1.21939e12i | 1.29538i | ||||||||
\(986\) | 3.28813e10 | − | 8.45694e11i | 0.0347890 | − | 0.894758i | ||||
\(987\) | 3.04222e11 | 0.320570 | ||||||||
\(988\) | −3.41714e11 | − | 3.85020e10i | −0.358621 | − | 0.0404069i | ||||
\(989\) | −5.82256e11 | − | 3.65856e11i | −0.608596 | − | 0.382406i | ||||
\(990\) | −4.77873e11 | − | 1.09071e11i | −0.497475 | − | 0.113545i | ||||
\(991\) | −1.05817e12 | + | 8.43863e11i | −1.09714 | + | 0.874938i | −0.992821 | − | 0.119606i | \(-0.961837\pi\) |
−0.104316 | + | 0.994544i | \(0.533265\pi\) | |||||||
\(992\) | 3.59917e10 | + | 2.87025e10i | 0.0371669 | + | 0.0296396i | ||||
\(993\) | −4.42177e11 | − | 1.93730e12i | −0.454778 | − | 1.99251i | ||||
\(994\) | 9.40857e11 | + | 3.29220e11i | 0.963780 | + | 0.337241i | ||||
\(995\) | −8.77579e10 | − | 1.82231e11i | −0.0895353 | − | 0.185922i | ||||
\(996\) | 4.16003e11 | − | 2.61392e11i | 0.422726 | − | 0.265616i | ||||
\(997\) | −1.28769e12 | + | 4.50582e11i | −1.30326 | + | 0.456030i | −0.890572 | − | 0.454842i | \(-0.849696\pi\) |
−0.412688 | + | 0.910873i | \(0.635410\pi\) | |||||||
\(998\) | −6.12817e10 | − | 6.12817e10i | −0.0617744 | − | 0.0617744i | ||||
\(999\) | 1.90755e12 | − | 3.96107e12i | 1.91520 | − | 3.97695i |
(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 | 29.9.f.a.2.13 | ✓ | 228 | |
29.15 | odd | 28 | inner | 29.9.f.a.15.13 | yes | 228 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
29.9.f.a.2.13 | ✓ | 228 | 1.1 | even | 1 | trivial | |
29.9.f.a.15.13 | yes | 228 | 29.15 | odd | 28 | inner |