Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,7,Mod(43,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4]))
N = Newforms(chi, 7, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.43");
S:= CuspForms(chi, 7);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 7 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.p (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(16.5638940206\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 43.9 | ||
Character | \(\chi\) | \(=\) | 72.43 |
Dual form | 72.7.p.b.67.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −7.44575 | + | 2.92588i | −0.930719 | + | 0.365735i | ||||
\(3\) | −21.4315 | − | 16.4223i | −0.793758 | − | 0.608234i | ||||
\(4\) | 46.8784 | − | 43.5708i | 0.732475 | − | 0.680794i | ||||
\(5\) | −135.303 | + | 78.1175i | −1.08243 | + | 0.624940i | −0.931550 | − | 0.363613i | \(-0.881543\pi\) |
−0.150877 | + | 0.988552i | \(0.548210\pi\) | |||||||
\(6\) | 207.623 | + | 59.5707i | 0.961218 | + | 0.275790i | ||||
\(7\) | −19.7572 | − | 11.4068i | −0.0576012 | − | 0.0332561i | 0.470923 | − | 0.882174i | \(-0.343921\pi\) |
−0.528524 | + | 0.848918i | \(0.677254\pi\) | |||||||
\(8\) | −221.562 | + | 461.578i | −0.432738 | + | 0.901520i | ||||
\(9\) | 189.614 | + | 703.909i | 0.260102 | + | 0.965581i | ||||
\(10\) | 778.873 | − | 977.525i | 0.778873 | − | 0.977525i | ||||
\(11\) | −823.638 | + | 1426.58i | −0.618811 | + | 1.07181i | 0.370892 | + | 0.928676i | \(0.379052\pi\) |
−0.989703 | + | 0.143137i | \(0.954281\pi\) | |||||||
\(12\) | −1720.21 | + | 163.932i | −0.995490 | + | 0.0948683i | ||||
\(13\) | −648.782 | + | 374.574i | −0.295304 | + | 0.170494i | −0.640331 | − | 0.768099i | \(-0.721203\pi\) |
0.345028 | + | 0.938593i | \(0.387870\pi\) | |||||||
\(14\) | 180.482 | + | 27.1252i | 0.0657735 | + | 0.00988527i | ||||
\(15\) | 4182.62 | + | 547.826i | 1.23930 | + | 0.162319i | ||||
\(16\) | 299.173 | − | 4085.06i | 0.0730403 | − | 0.997329i | ||||
\(17\) | −4623.99 | −0.941174 | −0.470587 | − | 0.882353i | \(-0.655958\pi\) | ||||
−0.470587 | + | 0.882353i | \(0.655958\pi\) | |||||||
\(18\) | −3471.38 | − | 4686.34i | −0.595229 | − | 0.803556i | ||||
\(19\) | −3219.02 | −0.469313 | −0.234656 | − | 0.972078i | \(-0.575396\pi\) | ||||
−0.234656 | + | 0.972078i | \(0.575396\pi\) | |||||||
\(20\) | −2939.17 | + | 9557.30i | −0.367397 | + | 1.19466i | ||||
\(21\) | 236.099 | + | 568.925i | 0.0254939 | + | 0.0614323i | ||||
\(22\) | 1958.59 | − | 13031.8i | 0.183940 | − | 1.22388i | ||||
\(23\) | 12177.5 | − | 7030.67i | 1.00086 | − | 0.577848i | 0.0923586 | − | 0.995726i | \(-0.470559\pi\) |
0.908503 | + | 0.417878i | \(0.137226\pi\) | |||||||
\(24\) | 12328.6 | − | 6253.72i | 0.891825 | − | 0.452382i | ||||
\(25\) | 4392.19 | − | 7607.49i | 0.281100 | − | 0.486879i | ||||
\(26\) | 3734.71 | − | 4687.25i | 0.212489 | − | 0.266685i | ||||
\(27\) | 7496.11 | − | 18199.7i | 0.380842 | − | 0.924640i | ||||
\(28\) | −1423.19 | + | 326.103i | −0.0648320 | + | 0.0148553i | ||||
\(29\) | 2284.39 | + | 1318.89i | 0.0936648 | + | 0.0540774i | 0.546101 | − | 0.837720i | \(-0.316112\pi\) |
−0.452436 | + | 0.891797i | \(0.649445\pi\) | |||||||
\(30\) | −32745.6 | + | 8158.88i | −1.21280 | + | 0.302181i | ||||
\(31\) | 39051.5 | − | 22546.4i | 1.31085 | − | 0.756818i | 0.328611 | − | 0.944465i | \(-0.393420\pi\) |
0.982236 | + | 0.187647i | \(0.0600862\pi\) | |||||||
\(32\) | 9724.84 | + | 31291.7i | 0.296778 | + | 0.954946i | ||||
\(33\) | 41079.6 | − | 17047.7i | 1.14310 | − | 0.474377i | ||||
\(34\) | 34429.1 | − | 13529.3i | 0.875969 | − | 0.344221i | ||||
\(35\) | 3564.29 | 0.0831322 | ||||||||
\(36\) | 39558.7 | + | 24736.5i | 0.847880 | + | 0.530189i | ||||
\(37\) | − | 48526.1i | − | 0.958010i | −0.877812 | − | 0.479005i | \(-0.840998\pi\) | ||
0.877812 | − | 0.479005i | \(-0.159002\pi\) | |||||||
\(38\) | 23968.0 | − | 9418.46i | 0.436798 | − | 0.171644i | ||||
\(39\) | 20055.7 | + | 2626.83i | 0.338099 | + | 0.0442832i | ||||
\(40\) | −6079.20 | − | 79761.0i | −0.0949875 | − | 1.24627i | ||||
\(41\) | −24825.8 | − | 42999.6i | −0.360207 | − | 0.623897i | 0.627788 | − | 0.778385i | \(-0.283961\pi\) |
−0.987995 | + | 0.154488i | \(0.950627\pi\) | |||||||
\(42\) | −3422.54 | − | 3545.27i | −0.0461956 | − | 0.0478522i | ||||
\(43\) | −64818.6 | + | 112269.i | −0.815257 | + | 1.41207i | 0.0938864 | + | 0.995583i | \(0.470071\pi\) |
−0.909143 | + | 0.416483i | \(0.863262\pi\) | |||||||
\(44\) | 23546.5 | + | 102762.i | 0.276419 | + | 1.20636i | ||||
\(45\) | −80643.1 | − | 80429.1i | −0.884972 | − | 0.882624i | ||||
\(46\) | −70099.6 | + | 87978.5i | −0.720182 | + | 0.903864i | ||||
\(47\) | −60674.6 | − | 35030.5i | −0.584404 | − | 0.337406i | 0.178478 | − | 0.983944i | \(-0.442883\pi\) |
−0.762882 | + | 0.646538i | \(0.776216\pi\) | |||||||
\(48\) | −73497.9 | + | 82635.6i | −0.664586 | + | 0.747212i | ||||
\(49\) | −58564.3 | − | 101436.i | −0.497788 | − | 0.862194i | ||||
\(50\) | −10444.5 | + | 69494.5i | −0.0835560 | + | 0.555956i | ||||
\(51\) | 99098.8 | + | 75936.7i | 0.747064 | + | 0.572455i | ||||
\(52\) | −14093.4 | + | 45827.4i | −0.100232 | + | 0.325923i | ||||
\(53\) | − | 192622.i | − | 1.29383i | −0.762561 | − | 0.646916i | \(-0.776058\pi\) | ||
0.762561 | − | 0.646916i | \(-0.223942\pi\) | |||||||
\(54\) | −2563.99 | + | 157443.i | −0.0162830 | + | 0.999867i | ||||
\(55\) | − | 257362.i | − | 1.54688i | ||||||
\(56\) | 9642.60 | − | 6592.18i | 0.0549073 | − | 0.0375375i | ||||
\(57\) | 68988.2 | + | 52863.7i | 0.372520 | + | 0.285452i | ||||
\(58\) | −20867.9 | − | 3136.29i | −0.106954 | − | 0.0160743i | ||||
\(59\) | 147514. | + | 255501.i | 0.718252 | + | 1.24405i | 0.961692 | + | 0.274132i | \(0.0883906\pi\) |
−0.243440 | + | 0.969916i | \(0.578276\pi\) | |||||||
\(60\) | 219944. | − | 156559.i | 1.01826 | − | 0.724809i | ||||
\(61\) | 103879. | + | 59974.3i | 0.457653 | + | 0.264226i | 0.711057 | − | 0.703134i | \(-0.248217\pi\) |
−0.253404 | + | 0.967361i | \(0.581550\pi\) | |||||||
\(62\) | −224799. | + | 282135.i | −0.943235 | + | 1.18381i | ||||
\(63\) | 4283.12 | − | 16070.2i | 0.0171293 | − | 0.0642686i | ||||
\(64\) | −163965. | − | 204536.i | −0.625475 | − | 0.780244i | ||||
\(65\) | 58521.6 | − | 101362.i | 0.213096 | − | 0.369094i | ||||
\(66\) | −255989. | + | 247127.i | −0.890408 | + | 0.859584i | ||||
\(67\) | −181212. | − | 313869.i | −0.602509 | − | 1.04358i | −0.992440 | − | 0.122732i | \(-0.960834\pi\) |
0.389931 | − | 0.920844i | \(-0.372499\pi\) | |||||||
\(68\) | −216765. | + | 201471.i | −0.689387 | + | 0.640745i | ||||
\(69\) | −376441. | − | 49305.1i | −1.14591 | − | 0.150087i | ||||
\(70\) | −26538.9 | + | 10428.7i | −0.0773728 | + | 0.0304044i | ||||
\(71\) | 522397.i | 1.45957i | 0.683676 | + | 0.729786i | \(0.260380\pi\) | ||||
−0.683676 | + | 0.729786i | \(0.739620\pi\) | |||||||
\(72\) | −366920. | − | 68437.7i | −0.983046 | − | 0.183357i | ||||
\(73\) | 509648. | 1.31009 | 0.655046 | − | 0.755589i | \(-0.272649\pi\) | ||||
0.655046 | + | 0.755589i | \(0.272649\pi\) | |||||||
\(74\) | 141982. | + | 361313.i | 0.350378 | + | 0.891638i | ||||
\(75\) | −219064. | + | 90909.6i | −0.519262 | + | 0.215489i | ||||
\(76\) | −150902. | + | 140255.i | −0.343760 | + | 0.319505i | ||||
\(77\) | 32545.6 | − | 18790.2i | 0.0712886 | − | 0.0411585i | ||||
\(78\) | −157016. | + | 39121.9i | −0.330871 | + | 0.0824397i | ||||
\(79\) | 84902.3 | + | 49018.4i | 0.172202 | + | 0.0994209i | 0.583624 | − | 0.812024i | \(-0.301634\pi\) |
−0.411422 | + | 0.911445i | \(0.634968\pi\) | |||||||
\(80\) | 278635. | + | 576093.i | 0.544210 | + | 1.12518i | ||||
\(81\) | −459534. | + | 266942.i | −0.864694 | + | 0.502299i | ||||
\(82\) | 310659. | + | 247527.i | 0.563432 | + | 0.448932i | ||||
\(83\) | −17405.9 | + | 30147.9i | −0.0304412 | + | 0.0527257i | −0.880845 | − | 0.473405i | \(-0.843025\pi\) |
0.850403 | + | 0.526131i | \(0.176358\pi\) | |||||||
\(84\) | 35856.5 | + | 16383.3i | 0.0604964 | + | 0.0276416i | ||||
\(85\) | 625642. | − | 361214.i | 1.01875 | − | 0.588177i | ||||
\(86\) | 154137. | − | 1.02558e6i | 0.242332 | − | 1.61241i | ||||
\(87\) | −27298.5 | − | 65780.8i | −0.0414554 | − | 0.0998944i | ||||
\(88\) | −475992. | − | 696250.i | −0.698477 | − | 1.02169i | ||||
\(89\) | 971603. | 1.37822 | 0.689110 | − | 0.724657i | \(-0.258002\pi\) | ||||
0.689110 | + | 0.724657i | \(0.258002\pi\) | |||||||
\(90\) | 835774. | + | 362903.i | 1.14647 | + | 0.497809i | ||||
\(91\) | 17090.8 | 0.0226798 | ||||||||
\(92\) | 264529. | − | 860170.i | 0.339712 | − | 1.10464i | ||||
\(93\) | −1.20719e6 | − | 158114.i | −1.50082 | − | 0.196572i | ||||
\(94\) | 554263. | + | 83301.6i | 0.667317 | + | 0.100293i | ||||
\(95\) | 435544. | − | 251461.i | 0.507997 | − | 0.293292i | ||||
\(96\) | 305465. | − | 830331.i | 0.345261 | − | 0.938507i | ||||
\(97\) | 29061.0 | − | 50335.1i | 0.0318416 | − | 0.0551513i | −0.849665 | − | 0.527322i | \(-0.823196\pi\) |
0.881507 | + | 0.472171i | \(0.156529\pi\) | |||||||
\(98\) | 732846. | + | 583917.i | 0.778636 | + | 0.620402i | ||||
\(99\) | −1.16036e6 | − | 309265.i | −1.19588 | − | 0.318732i | ||||
\(100\) | −125566. | − | 547998.i | −0.125566 | − | 0.547998i | ||||
\(101\) | 43287.9 | + | 24992.3i | 0.0420148 | + | 0.0242573i | 0.520860 | − | 0.853642i | \(-0.325611\pi\) |
−0.478845 | + | 0.877899i | \(0.658945\pi\) | |||||||
\(102\) | −960047. | − | 275454.i | −0.904674 | − | 0.259567i | ||||
\(103\) | 1.64521e6 | − | 949863.i | 1.50560 | − | 0.869259i | 0.505622 | − | 0.862755i | \(-0.331263\pi\) |
0.999979 | − | 0.00650343i | \(-0.00207012\pi\) | |||||||
\(104\) | −29149.8 | − | 382455.i | −0.0259141 | − | 0.340001i | ||||
\(105\) | −76388.0 | − | 58534.0i | −0.0659868 | − | 0.0505639i | ||||
\(106\) | 563589. | + | 1.43421e6i | 0.473200 | + | 1.20419i | ||||
\(107\) | 754822. | 0.616160 | 0.308080 | − | 0.951360i | \(-0.400314\pi\) | ||||
0.308080 | + | 0.951360i | \(0.400314\pi\) | |||||||
\(108\) | −441569. | − | 1.17978e6i | −0.350532 | − | 0.936551i | ||||
\(109\) | 236384.i | 0.182532i | 0.995827 | + | 0.0912660i | \(0.0290914\pi\) | ||||
−0.995827 | + | 0.0912660i | \(0.970909\pi\) | |||||||
\(110\) | 753011. | + | 1.91625e6i | 0.565749 | + | 1.43971i | ||||
\(111\) | −796911. | + | 1.03998e6i | −0.582694 | + | 0.760427i | ||||
\(112\) | −52508.4 | + | 77296.8i | −0.0373745 | + | 0.0550184i | ||||
\(113\) | −1.04811e6 | − | 1.81537e6i | −0.726390 | − | 1.25814i | −0.958399 | − | 0.285430i | \(-0.907863\pi\) |
0.232010 | − | 0.972713i | \(-0.425470\pi\) | |||||||
\(114\) | −668342. | − | 191759.i | −0.451112 | − | 0.129432i | ||||
\(115\) | −1.09844e6 | + | 1.90255e6i | −0.722240 | + | 1.25096i | ||||
\(116\) | 164554. | − | 37705.0i | 0.105423 | − | 0.0241560i | ||||
\(117\) | −386684. | − | 385658.i | −0.241434 | − | 0.240794i | ||||
\(118\) | −1.84592e6 | − | 1.47079e6i | −1.12348 | − | 0.895169i | ||||
\(119\) | 91357.2 | + | 52745.1i | 0.0542128 | + | 0.0312998i | ||||
\(120\) | −1.17957e6 | + | 1.80923e6i | −0.682624 | + | 1.04701i | ||||
\(121\) | −470978. | − | 815758.i | −0.265855 | − | 0.460474i | ||||
\(122\) | −948932. | − | 142617.i | −0.522583 | − | 0.0785404i | ||||
\(123\) | −174100. | + | 1.32924e6i | −0.0935584 | + | 0.714313i | ||||
\(124\) | 848308. | − | 2.75844e6i | 0.444926 | − | 1.44677i | ||||
\(125\) | − | 1.06875e6i | − | 0.547198i | ||||||
\(126\) | 15128.4 | + | 132186.i | 0.00756279 | + | 0.0660808i | ||||
\(127\) | 3.39068e6i | 1.65530i | 0.561248 | + | 0.827648i | \(0.310321\pi\) | ||||
−0.561248 | + | 0.827648i | \(0.689679\pi\) | |||||||
\(128\) | 1.81929e6 | + | 1.04319e6i | 0.867504 | + | 0.497430i | ||||
\(129\) | 3.23288e6 | − | 1.34162e6i | 1.50598 | − | 0.624971i | ||||
\(130\) | −139163. | + | 925947.i | −0.0633422 | + | 0.421460i | ||||
\(131\) | −747744. | − | 1.29513e6i | −0.332613 | − | 0.576103i | 0.650410 | − | 0.759583i | \(-0.274597\pi\) |
−0.983023 | + | 0.183480i | \(0.941264\pi\) | |||||||
\(132\) | 1.18296e6 | − | 2.58904e6i | 0.514339 | − | 1.12568i | ||||
\(133\) | 63598.8 | + | 36718.8i | 0.0270330 | + | 0.0156075i | ||||
\(134\) | 2.26761e6 | + | 1.80679e6i | 0.942439 | + | 0.750918i | ||||
\(135\) | 407465. | + | 3.04806e6i | 0.165611 | + | 1.23886i | ||||
\(136\) | 1.02450e6 | − | 2.13433e6i | 0.407282 | − | 0.848487i | ||||
\(137\) | 641312. | − | 1.11079e6i | 0.249407 | − | 0.431985i | −0.713955 | − | 0.700192i | \(-0.753098\pi\) |
0.963361 | + | 0.268207i | \(0.0864311\pi\) | |||||||
\(138\) | 2.94715e6 | − | 734309.i | 1.12141 | − | 0.279410i | ||||
\(139\) | 272285. | + | 471612.i | 0.101386 | + | 0.175606i | 0.912256 | − | 0.409620i | \(-0.134339\pi\) |
−0.810870 | + | 0.585227i | \(0.801005\pi\) | |||||||
\(140\) | 167089. | − | 155299.i | 0.0608923 | − | 0.0565959i | ||||
\(141\) | 725062. | + | 1.74717e6i | 0.258653 | + | 0.623273i | ||||
\(142\) | −1.52847e6 | − | 3.88964e6i | −0.533817 | − | 1.35845i | ||||
\(143\) | − | 1.23405e6i | − | 0.422013i | ||||||
\(144\) | 2.93224e6 | − | 563995.i | 0.982000 | − | 0.188881i | ||||
\(145\) | −412114. | −0.135180 | ||||||||
\(146\) | −3.79471e6 | + | 1.49117e6i | −1.21933 | + | 0.479147i | ||||
\(147\) | −410703. | + | 3.13569e6i | −0.129293 | + | 0.987145i | ||||
\(148\) | −2.11432e6 | − | 2.27483e6i | −0.652207 | − | 0.701719i | ||||
\(149\) | −4.37872e6 | + | 2.52806e6i | −1.32370 | + | 0.764237i | −0.984316 | − | 0.176412i | \(-0.943551\pi\) |
−0.339381 | + | 0.940649i | \(0.610218\pi\) | |||||||
\(150\) | 1.36510e6 | − | 1.31784e6i | 0.404475 | − | 0.390473i | ||||
\(151\) | 3.85659e6 | + | 2.22660e6i | 1.12014 | + | 0.646713i | 0.941437 | − | 0.337189i | \(-0.109476\pi\) |
0.178704 | + | 0.983903i | \(0.442810\pi\) | |||||||
\(152\) | 713212. | − | 1.48583e6i | 0.203090 | − | 0.423095i | ||||
\(153\) | −876775. | − | 3.25487e6i | −0.244801 | − | 0.908780i | ||||
\(154\) | −187348. | + | 235132.i | −0.0512965 | + | 0.0643797i | ||||
\(155\) | −3.52253e6 | + | 6.10120e6i | −0.945932 | + | 1.63840i | ||||
\(156\) | 1.05463e6 | − | 750702.i | 0.277797 | − | 0.197740i | ||||
\(157\) | 2.41739e6 | − | 1.39568e6i | 0.624667 | − | 0.360652i | −0.154017 | − | 0.988068i | \(-0.549221\pi\) |
0.778684 | + | 0.627417i | \(0.215888\pi\) | |||||||
\(158\) | −775584. | − | 116564.i | −0.196633 | − | 0.0295525i | ||||
\(159\) | −3.16330e6 | + | 4.12817e6i | −0.786953 | + | 1.02699i | ||||
\(160\) | −3.76023e6 | − | 3.47419e6i | −0.918025 | − | 0.848192i | ||||
\(161\) | −320791. | −0.0768678 | ||||||||
\(162\) | 2.64053e6 | − | 3.33213e6i | 0.621078 | − | 0.783748i | ||||
\(163\) | 418159. | 0.0965558 | 0.0482779 | − | 0.998834i | \(-0.484627\pi\) | ||||
0.0482779 | + | 0.998834i | \(0.484627\pi\) | |||||||
\(164\) | −3.03732e6 | − | 934072.i | −0.688588 | − | 0.211762i | ||||
\(165\) | −4.22648e6 | + | 5.51564e6i | −0.940865 | + | 1.22785i | ||||
\(166\) | 41390.7 | − | 275401.i | 0.00904855 | − | 0.0602062i | ||||
\(167\) | 6.73135e6 | − | 3.88635e6i | 1.44528 | − | 0.834435i | 0.447088 | − | 0.894490i | \(-0.352461\pi\) |
0.998195 | + | 0.0600552i | \(0.0191277\pi\) | |||||||
\(168\) | −314914. | − | 17074.0i | −0.0664146 | − | 0.00360086i | ||||
\(169\) | −2.13279e6 | + | 3.69411e6i | −0.441864 | + | 0.765331i | ||||
\(170\) | −3.60150e6 | + | 4.52007e6i | −0.733056 | + | 0.920022i | ||||
\(171\) | −610371. | − | 2.26589e6i | −0.122069 | − | 0.453159i | ||||
\(172\) | 1.85306e6 | + | 8.08720e6i | 0.364170 | + | 1.58933i | ||||
\(173\) | −6.64127e6 | − | 3.83434e6i | −1.28266 | − | 0.740546i | −0.305329 | − | 0.952247i | \(-0.598766\pi\) |
−0.977335 | + | 0.211701i | \(0.932100\pi\) | |||||||
\(174\) | 395725. | + | 409915.i | 0.0751182 | + | 0.0778119i | ||||
\(175\) | −173555. | + | 100202.i | −0.0323834 | + | 0.0186966i | ||||
\(176\) | 5.58126e6 | + | 3.79140e6i | 1.02375 | + | 0.695444i | ||||
\(177\) | 1.03449e6 | − | 7.89828e6i | 0.186555 | − | 1.42434i | ||||
\(178\) | −7.23431e6 | + | 2.84280e6i | −1.28274 | + | 0.504064i | ||||
\(179\) | 4.72783e6 | 0.824334 | 0.412167 | − | 0.911108i | \(-0.364772\pi\) | ||||
0.412167 | + | 0.911108i | \(0.364772\pi\) | |||||||
\(180\) | −7.28478e6 | − | 256707.i | −1.24910 | − | 0.0440170i | ||||
\(181\) | 2.86383e6i | 0.482961i | 0.970406 | + | 0.241480i | \(0.0776329\pi\) | ||||
−0.970406 | + | 0.241480i | \(0.922367\pi\) | |||||||
\(182\) | −127254. | + | 50005.8i | −0.0211085 | + | 0.00829480i | ||||
\(183\) | −1.24135e6 | − | 2.99127e6i | −0.202554 | − | 0.488092i | ||||
\(184\) | 547136. | + | 7.17859e6i | 0.0878298 | + | 1.15235i | ||||
\(185\) | 3.79073e6 | + | 6.56575e6i | 0.598699 | + | 1.03698i | ||||
\(186\) | 9.45108e6 | − | 2.35483e6i | 1.46873 | − | 0.365948i | ||||
\(187\) | 3.80849e6 | − | 6.59650e6i | 0.582409 | − | 1.00876i | ||||
\(188\) | −4.37063e6 | + | 1.00147e6i | −0.657765 | + | 0.150717i | ||||
\(189\) | −355703. | + | 274069.i | −0.0526869 | + | 0.0405951i | ||||
\(190\) | −2.50721e6 | + | 3.14667e6i | −0.365535 | + | 0.458765i | ||||
\(191\) | −1.05576e7 | − | 6.09541e6i | −1.51518 | − | 0.874788i | −0.999842 | − | 0.0178003i | \(-0.994334\pi\) |
−0.515336 | − | 0.856988i | \(-0.672333\pi\) | |||||||
\(192\) | 155035. | + | 7.07619e6i | 0.0219041 | + | 0.999760i | ||||
\(193\) | 2.49686e6 | + | 4.32470e6i | 0.347315 | + | 0.601567i | 0.985771 | − | 0.168091i | \(-0.0537603\pi\) |
−0.638457 | + | 0.769658i | \(0.720427\pi\) | |||||||
\(194\) | −69106.3 | + | 459812.i | −0.00946482 | + | 0.0629760i | ||||
\(195\) | −2.91881e6 | + | 1.21128e6i | −0.393643 | + | 0.163358i | ||||
\(196\) | −7.16506e6 | − | 2.20348e6i | −0.951594 | − | 0.292645i | ||||
\(197\) | − | 1.17618e7i | − | 1.53842i | −0.638994 | − | 0.769211i | \(-0.720649\pi\) | ||
0.638994 | − | 0.769211i | \(-0.279351\pi\) | |||||||
\(198\) | 9.54461e6 | − | 1.09236e6i | 1.22960 | − | 0.140724i | ||||
\(199\) | 1.50727e6i | 0.191263i | 0.995417 | + | 0.0956315i | \(0.0304870\pi\) | ||||
−0.995417 | + | 0.0956315i | \(0.969513\pi\) | |||||||
\(200\) | 2.53831e6 | + | 3.71287e6i | 0.317288 | + | 0.464108i | ||||
\(201\) | −1.27082e6 | + | 9.70260e6i | −0.156493 | + | 1.19481i | ||||
\(202\) | −395435. | − | 59431.0i | −0.0479757 | − | 0.00721039i | ||||
\(203\) | −30088.8 | − | 52115.3i | −0.00359680 | − | 0.00622985i | ||||
\(204\) | 7.95422e6 | − | 758022.i | 0.936930 | − | 0.0892876i | ||||
\(205\) | 6.71804e6 | + | 3.87866e6i | 0.779796 | + | 0.450215i | ||||
\(206\) | −9.47064e6 | + | 1.18861e7i | −1.08337 | + | 1.35969i | ||||
\(207\) | 7.25798e6 | + | 7.23872e6i | 0.818285 | + | 0.816114i | ||||
\(208\) | 1.33606e6 | + | 2.76238e6i | 0.148469 | + | 0.306968i | ||||
\(209\) | 2.65130e6 | − | 4.59219e6i | 0.290416 | − | 0.503015i | ||||
\(210\) | 740030. | + | 212327.i | 0.0799082 | + | 0.0229270i | ||||
\(211\) | −2.43614e6 | − | 4.21952e6i | −0.259331 | − | 0.449175i | 0.706732 | − | 0.707482i | \(-0.250169\pi\) |
−0.966063 | + | 0.258307i | \(0.916835\pi\) | |||||||
\(212\) | −8.39268e6 | − | 9.02981e6i | −0.880832 | − | 0.947700i | ||||
\(213\) | 8.57897e6 | − | 1.11957e7i | 0.887762 | − | 1.15855i | ||||
\(214\) | −5.62022e6 | + | 2.20852e6i | −0.573472 | + | 0.225351i | ||||
\(215\) | − | 2.02539e7i | − | 2.03795i | ||||||
\(216\) | 6.73973e6 | + | 7.49240e6i | 0.668776 | + | 0.743464i | ||||
\(217\) | −1.02873e6 | −0.100675 | ||||||||
\(218\) | −691633. | − | 1.76006e6i | −0.0667584 | − | 0.169886i | ||||
\(219\) | −1.09225e7 | − | 8.36960e6i | −1.03989 | − | 0.796843i | ||||
\(220\) | −1.12135e7 | − | 1.20647e7i | −1.05311 | − | 1.13305i | ||||
\(221\) | 2.99996e6 | − | 1.73203e6i | 0.277932 | − | 0.160464i | ||||
\(222\) | 2.89073e6 | − | 1.00751e7i | 0.264210 | − | 0.920856i | ||||
\(223\) | −1.08547e7 | − | 6.26696e6i | −0.978821 | − | 0.565122i | −0.0769068 | − | 0.997038i | \(-0.524504\pi\) |
−0.901914 | + | 0.431916i | \(0.857838\pi\) | |||||||
\(224\) | 164803. | − | 729166.i | 0.0146630 | − | 0.0648758i | ||||
\(225\) | 6.18780e6 | + | 1.64921e6i | 0.543236 | + | 0.144787i | ||||
\(226\) | 1.31155e7 | + | 1.04502e7i | 1.13621 | + | 0.905312i | ||||
\(227\) | 4.61321e6 | − | 7.99032e6i | 0.394390 | − | 0.683104i | −0.598633 | − | 0.801023i | \(-0.704289\pi\) |
0.993023 | + | 0.117920i | \(0.0376225\pi\) | |||||||
\(228\) | 5.53737e6 | − | 527701.i | 0.467196 | − | 0.0445229i | ||||
\(229\) | 1.71451e7 | − | 9.89870e6i | 1.42769 | − | 0.824274i | 0.430747 | − | 0.902473i | \(-0.358250\pi\) |
0.996938 | + | 0.0781981i | \(0.0249167\pi\) | |||||||
\(230\) | 2.61206e6 | − | 1.73798e7i | 0.214684 | − | 1.42844i | ||||
\(231\) | −1.00608e6 | − | 131773.i | −0.0816199 | − | 0.0106903i | ||||
\(232\) | −1.11491e6 | + | 762207.i | −0.0892841 | + | 0.0610393i | ||||
\(233\) | −2.27501e7 | −1.79852 | −0.899261 | − | 0.437412i | \(-0.855895\pi\) | ||||
−0.899261 | + | 0.437412i | \(0.855895\pi\) | |||||||
\(234\) | 4.00755e6 | + | 1.74012e6i | 0.312774 | + | 0.135810i | ||||
\(235\) | 1.09460e7 | 0.843433 | ||||||||
\(236\) | 1.80476e7 | + | 5.55021e6i | 1.37304 | + | 0.422254i | ||||
\(237\) | −1.01458e6 | − | 2.44483e6i | −0.0762155 | − | 0.183655i | ||||
\(238\) | −834549. | − | 125426.i | −0.0619043 | − | 0.00930376i | ||||
\(239\) | 1.90062e6 | − | 1.09732e6i | 0.139220 | − | 0.0803787i | −0.428772 | − | 0.903413i | \(-0.641054\pi\) |
0.567992 | + | 0.823034i | \(0.307720\pi\) | |||||||
\(240\) | 3.48923e6 | − | 1.69224e7i | 0.252404 | − | 1.22413i | ||||
\(241\) | −5.83380e6 | + | 1.01044e7i | −0.416774 | + | 0.721874i | −0.995613 | − | 0.0935683i | \(-0.970173\pi\) |
0.578839 | + | 0.815442i | \(0.303506\pi\) | |||||||
\(242\) | 5.89360e6 | + | 4.69591e6i | 0.415848 | + | 0.331340i | ||||
\(243\) | 1.42323e7 | + | 1.82565e6i | 0.991873 | + | 0.127233i | ||||
\(244\) | 7.48279e6 | − | 1.71457e6i | 0.515103 | − | 0.118028i | ||||
\(245\) | 1.58479e7 | + | 9.14979e6i | 1.07764 | + | 0.622175i | ||||
\(246\) | −2.59290e6 | − | 1.04066e7i | −0.174173 | − | 0.699042i | ||||
\(247\) | 2.08844e6 | − | 1.20576e6i | 0.138590 | − | 0.0800148i | ||||
\(248\) | 1.75459e6 | + | 2.30207e7i | 0.115032 | + | 1.50926i | ||||
\(249\) | 868131. | − | 360268.i | 0.0562325 | − | 0.0233360i | ||||
\(250\) | 3.12702e6 | + | 7.95761e6i | 0.200130 | + | 0.509287i | ||||
\(251\) | 2.30959e7 | 1.46054 | 0.730271 | − | 0.683158i | \(-0.239394\pi\) | ||||
0.730271 | + | 0.683158i | \(0.239394\pi\) | |||||||
\(252\) | −499405. | − | 939964.i | −0.0312069 | − | 0.0587367i | ||||
\(253\) | 2.31629e7i | 1.43032i | ||||||||
\(254\) | −9.92073e6 | − | 2.52462e7i | −0.605400 | − | 1.54061i | ||||
\(255\) | −1.93404e7 | − | 2.53314e6i | −1.16639 | − | 0.152770i | ||||
\(256\) | −1.65982e7 | − | 2.44428e6i | −0.989330 | − | 0.145690i | ||||
\(257\) | −1.19227e7 | − | 2.06508e7i | −0.702388 | − | 1.21657i | −0.967626 | − | 0.252389i | \(-0.918784\pi\) |
0.265238 | − | 0.964183i | \(-0.414549\pi\) | |||||||
\(258\) | −2.01458e7 | + | 1.94484e7i | −1.17307 | + | 1.13246i | ||||
\(259\) | −553529. | + | 958740.i | −0.0318597 | + | 0.0551826i | ||||
\(260\) | −1.67304e6 | − | 7.30154e6i | −0.0951889 | − | 0.415427i | ||||
\(261\) | −495227. | + | 1.85808e6i | −0.0278537 | + | 0.104507i | ||||
\(262\) | 9.35692e6 | + | 7.45541e6i | 0.520270 | + | 0.414541i | ||||
\(263\) | 1.51577e6 | + | 875129.i | 0.0833231 | + | 0.0481066i | 0.541083 | − | 0.840969i | \(-0.318015\pi\) |
−0.457760 | + | 0.889076i | \(0.651348\pi\) | |||||||
\(264\) | −1.23284e6 | + | 2.27385e7i | −0.0670029 | + | 1.23581i | ||||
\(265\) | 1.50471e7 | + | 2.60624e7i | 0.808567 | + | 1.40048i | ||||
\(266\) | −580976. | − | 87316.3i | −0.0308683 | − | 0.00463928i | ||||
\(267\) | −2.08229e7 | − | 1.59560e7i | −1.09397 | − | 0.838281i | ||||
\(268\) | −2.21705e7 | − | 6.81812e6i | −1.15178 | − | 0.354210i | ||||
\(269\) | − | 8.40041e6i | − | 0.431562i | −0.976442 | − | 0.215781i | \(-0.930770\pi\) | ||
0.976442 | − | 0.215781i | \(-0.0692298\pi\) | |||||||
\(270\) | −1.19521e7 | − | 2.15029e7i | −0.607232 | − | 1.09246i | ||||
\(271\) | − | 7.27137e6i | − | 0.365350i | −0.983173 | − | 0.182675i | \(-0.941524\pi\) | ||
0.983173 | − | 0.182675i | \(-0.0584755\pi\) | |||||||
\(272\) | −1.38337e6 | + | 1.88893e7i | −0.0687436 | + | 0.938660i | ||||
\(273\) | −366282. | − | 280671.i | −0.0180023 | − | 0.0137946i | ||||
\(274\) | −1.52502e6 | + | 1.01470e7i | −0.0741353 | + | 0.493273i | ||||
\(275\) | 7.23514e6 | + | 1.25316e7i | 0.347896 | + | 0.602573i | ||||
\(276\) | −1.97952e7 | + | 1.40905e7i | −0.941528 | + | 0.670192i | ||||
\(277\) | 1.16896e7 | + | 6.74897e6i | 0.549995 | + | 0.317540i | 0.749120 | − | 0.662434i | \(-0.230477\pi\) |
−0.199125 | + | 0.979974i | \(0.563810\pi\) | |||||||
\(278\) | −3.40725e6 | − | 2.71483e6i | −0.158588 | − | 0.126360i | ||||
\(279\) | 2.32753e7 | + | 2.32135e7i | 1.07172 | + | 1.06888i | ||||
\(280\) | −789713. | + | 1.64520e6i | −0.0359745 | + | 0.0749453i | ||||
\(281\) | −79871.6 | + | 138342.i | −0.00359976 | + | 0.00623497i | −0.867820 | − | 0.496879i | \(-0.834479\pi\) |
0.864220 | + | 0.503114i | \(0.167813\pi\) | |||||||
\(282\) | −1.05107e7 | − | 1.08876e7i | −0.468686 | − | 0.485493i | ||||
\(283\) | −7.89522e6 | − | 1.36749e7i | −0.348341 | − | 0.603345i | 0.637614 | − | 0.770356i | \(-0.279922\pi\) |
−0.985955 | + | 0.167012i | \(0.946588\pi\) | |||||||
\(284\) | 2.27612e7 | + | 2.44891e7i | 0.993667 | + | 1.06910i | ||||
\(285\) | −1.34639e7 | − | 1.76346e6i | −0.581617 | − | 0.0761783i | ||||
\(286\) | 3.61070e6 | + | 9.18846e6i | 0.154345 | + | 0.392776i | ||||
\(287\) | 1.13274e6i | 0.0479163i | ||||||||
\(288\) | −2.01825e7 | + | 1.27787e7i | −0.844886 | + | 0.534947i | ||||
\(289\) | −2.75629e6 | −0.114191 | ||||||||
\(290\) | 3.06850e6 | − | 1.20580e6i | 0.125815 | − | 0.0494403i | ||||
\(291\) | −1.44944e6 | + | 601506.i | −0.0588195 | + | 0.0244096i | ||||
\(292\) | 2.38915e7 | − | 2.22058e7i | 0.959610 | − | 0.891902i | ||||
\(293\) | −3.76233e7 | + | 2.17218e7i | −1.49573 | + | 0.863562i | −0.999988 | − | 0.00490652i | \(-0.998438\pi\) |
−0.495745 | + | 0.868468i | \(0.665105\pi\) | |||||||
\(294\) | −6.11667e6 | − | 2.45492e7i | −0.240698 | − | 0.966042i | ||||
\(295\) | −3.99183e7 | − | 2.30468e7i | −1.55491 | − | 0.897728i | ||||
\(296\) | 2.23986e7 | + | 1.07515e7i | 0.863664 | + | 0.414568i | ||||
\(297\) | 1.97893e7 | + | 2.56838e7i | 0.755372 | + | 0.980369i | ||||
\(298\) | 2.52061e7 | − | 3.16349e7i | 0.952482 | − | 1.19541i | ||||
\(299\) | −5.26702e6 | + | 9.12275e6i | −0.197039 | + | 0.341281i | ||||
\(300\) | −6.30835e6 | + | 1.38065e7i | −0.233643 | + | 0.511351i | ||||
\(301\) | 2.56127e6 | − | 1.47875e6i | 0.0939196 | − | 0.0542245i | ||||
\(302\) | −3.52300e7 | − | 5.29480e6i | −1.27906 | − | 0.192233i | ||||
\(303\) | −517291. | − | 1.24651e6i | −0.0185955 | − | 0.0448092i | ||||
\(304\) | −963043. | + | 1.31499e7i | −0.0342787 | + | 0.468059i | ||||
\(305\) | −1.87402e7 | −0.660502 | ||||||||
\(306\) | 1.60516e7 | + | 2.16696e7i | 0.560214 | + | 0.756286i | ||||
\(307\) | −7.64160e6 | −0.264100 | −0.132050 | − | 0.991243i | \(-0.542156\pi\) | ||||
−0.132050 | + | 0.991243i | \(0.542156\pi\) | |||||||
\(308\) | 706982. | − | 2.29889e6i | 0.0241967 | − | 0.0786804i | ||||
\(309\) | −5.08582e7 | − | 6.66125e6i | −1.72379 | − | 0.225777i | ||||
\(310\) | 8.37649e6 | − | 5.57346e7i | 0.281175 | − | 1.87085i | ||||
\(311\) | −1.39857e7 | + | 8.07463e6i | −0.464945 | + | 0.268436i | −0.714121 | − | 0.700022i | \(-0.753174\pi\) |
0.249176 | + | 0.968458i | \(0.419840\pi\) | |||||||
\(312\) | −5.65608e6 | + | 8.67527e6i | −0.186231 | + | 0.285640i | ||||
\(313\) | −1.87981e7 | + | 3.25592e7i | −0.613028 | + | 1.06180i | 0.377699 | + | 0.925928i | \(0.376715\pi\) |
−0.990727 | + | 0.135867i | \(0.956618\pi\) | |||||||
\(314\) | −1.39157e7 | + | 1.74649e7i | −0.449486 | + | 0.564128i | ||||
\(315\) | 675841. | + | 2.50894e6i | 0.0216229 | + | 0.0802709i | ||||
\(316\) | 6.11586e6 | − | 1.40136e6i | 0.193819 | − | 0.0444107i | ||||
\(317\) | 2.49165e7 | + | 1.43856e7i | 0.782185 | + | 0.451595i | 0.837204 | − | 0.546891i | \(-0.184189\pi\) |
−0.0550191 | + | 0.998485i | \(0.517522\pi\) | |||||||
\(318\) | 1.14746e7 | − | 3.99927e7i | 0.356826 | − | 1.24365i | ||||
\(319\) | −3.76302e6 | + | 2.17258e6i | −0.115922 | + | 0.0669274i | ||||
\(320\) | 3.81628e7 | + | 1.48660e7i | 1.16464 | + | 0.453674i | ||||
\(321\) | −1.61769e7 | − | 1.23959e7i | −0.489082 | − | 0.374770i | ||||
\(322\) | 2.38853e6 | − | 938597.i | 0.0715424 | − | 0.0281133i | ||||
\(323\) | 1.48847e7 | 0.441705 | ||||||||
\(324\) | −9.91133e6 | + | 3.25361e7i | −0.291405 | + | 0.956600i | ||||
\(325\) | 6.58080e6i | 0.191703i | ||||||||
\(326\) | −3.11351e6 | + | 1.22348e6i | −0.0898663 | + | 0.0353139i | ||||
\(327\) | 3.88198e6 | − | 5.06606e6i | 0.111022 | − | 0.144886i | ||||
\(328\) | 2.53481e7 | − | 1.93198e6i | 0.718330 | − | 0.0547495i | ||||
\(329\) | 799174. | + | 1.38421e6i | 0.0224416 | + | 0.0388700i | ||||
\(330\) | 1.53312e7 | − | 5.34343e7i | 0.426614 | − | 1.48689i | ||||
\(331\) | 3.27900e7 | − | 5.67940e7i | 0.904186 | − | 1.56610i | 0.0821803 | − | 0.996617i | \(-0.473812\pi\) |
0.822006 | − | 0.569479i | \(-0.192855\pi\) | |||||||
\(332\) | 497606. | + | 2.17167e6i | 0.0135979 | + | 0.0593444i | ||||
\(333\) | 3.41579e7 | − | 9.20124e6i | 0.925036 | − | 0.249180i | ||||
\(334\) | −3.87490e7 | + | 4.86319e7i | −1.03997 | + | 1.30522i | ||||
\(335\) | 4.90374e7 | + | 2.83117e7i | 1.30435 | + | 0.753064i | ||||
\(336\) | 2.39473e6 | − | 794272.i | 0.0631303 | − | 0.0209388i | ||||
\(337\) | −2.25359e7 | − | 3.90333e7i | −0.588823 | − | 1.01987i | −0.994387 | − | 0.105805i | \(-0.966258\pi\) |
0.405563 | − | 0.914067i | \(-0.367075\pi\) | |||||||
\(338\) | 5.07173e6 | − | 3.37457e7i | 0.131343 | − | 0.873913i | ||||
\(339\) | −7.35021e6 | + | 5.61184e7i | −0.188669 | + | 1.44048i | ||||
\(340\) | 1.35907e7 | − | 4.41929e7i | 0.345784 | − | 1.12439i | ||||
\(341\) | 7.42802e7i | 1.87331i | ||||||||
\(342\) | 1.11744e7 | + | 1.50854e7i | 0.279348 | + | 0.377119i | ||||
\(343\) | 5.35614e6i | 0.132730i | ||||||||
\(344\) | −3.74596e7 | − | 5.47934e7i | −0.920212 | − | 1.34603i | ||||
\(345\) | 5.47854e7 | − | 2.27355e7i | 1.33416 | − | 0.553665i | ||||
\(346\) | 6.06681e7 | + | 9.11796e6i | 1.46464 | + | 0.220125i | ||||
\(347\) | 2.34102e7 | + | 4.05477e7i | 0.560296 | + | 0.970460i | 0.997470 | + | 0.0710839i | \(0.0226458\pi\) |
−0.437175 | + | 0.899377i | \(0.644021\pi\) | |||||||
\(348\) | −4.14583e6 | − | 1.89428e6i | −0.0983725 | − | 0.0449477i | ||||
\(349\) | 2.22437e6 | + | 1.28424e6i | 0.0523275 | + | 0.0302113i | 0.525936 | − | 0.850524i | \(-0.323715\pi\) |
−0.473608 | + | 0.880736i | \(0.657049\pi\) | |||||||
\(350\) | 999067. | − | 1.25388e6i | 0.0233019 | − | 0.0292450i | ||||
\(351\) | 1.95380e6 | + | 1.46155e7i | 0.0451813 | + | 0.337981i | ||||
\(352\) | −5.26499e7 | − | 1.18997e7i | −1.20717 | − | 0.272841i | ||||
\(353\) | 5.14841e6 | − | 8.91730e6i | 0.117044 | − | 0.202726i | −0.801551 | − | 0.597926i | \(-0.795992\pi\) |
0.918595 | + | 0.395200i | \(0.129325\pi\) | |||||||
\(354\) | 1.54069e7 | + | 6.18355e7i | 0.347300 | + | 1.39389i | ||||
\(355\) | −4.08083e7 | − | 7.06821e7i | −0.912145 | − | 1.57988i | ||||
\(356\) | 4.55472e7 | − | 4.23335e7i | 1.00951 | − | 0.938283i | ||||
\(357\) | −1.09172e6 | − | 2.63070e6i | −0.0239942 | − | 0.0578185i | ||||
\(358\) | −3.52023e7 | + | 1.38331e7i | −0.767223 | + | 0.301488i | ||||
\(359\) | 2.25511e7i | 0.487398i | 0.969851 | + | 0.243699i | \(0.0783610\pi\) | ||||
−0.969851 | + | 0.243699i | \(0.921639\pi\) | |||||||
\(360\) | 5.49917e7 | − | 1.94030e7i | 1.17866 | − | 0.415874i | ||||
\(361\) | −3.66838e7 | −0.779746 | ||||||||
\(362\) | −8.37924e6 | − | 2.13234e7i | −0.176636 | − | 0.449501i | ||||
\(363\) | −3.30290e6 | + | 2.52174e7i | −0.0690519 | + | 0.527207i | ||||
\(364\) | 801192. | − | 744661.i | 0.0166124 | − | 0.0154403i | ||||
\(365\) | −6.89571e7 | + | 3.98124e7i | −1.41808 | + | 0.818729i | ||||
\(366\) | 1.79949e7 | + | 1.86402e7i | 0.367033 | + | 0.380195i | ||||
\(367\) | −1.19225e7 | − | 6.88347e6i | −0.241196 | − | 0.139254i | 0.374530 | − | 0.927215i | \(-0.377804\pi\) |
−0.615726 | + | 0.787960i | \(0.711137\pi\) | |||||||
\(368\) | −2.50775e7 | − | 5.18491e7i | −0.503201 | − | 1.04039i | ||||
\(369\) | 2.55604e7 | − | 2.56284e7i | 0.508732 | − | 0.510086i | ||||
\(370\) | −4.74355e7 | − | 3.77957e7i | −0.936479 | − | 0.746168i | ||||
\(371\) | −2.19721e6 | + | 3.80567e6i | −0.0430278 | + | 0.0745263i | ||||
\(372\) | −6.34805e7 | + | 4.51862e7i | −1.23314 | + | 0.877763i | ||||
\(373\) | 7.38379e7 | − | 4.26303e7i | 1.42283 | − | 0.821471i | 0.426289 | − | 0.904587i | \(-0.359821\pi\) |
0.996540 | + | 0.0831165i | \(0.0264874\pi\) | |||||||
\(374\) | −9.05650e6 | + | 6.02591e7i | −0.173119 | + | 1.15188i | ||||
\(375\) | −1.75513e7 | + | 2.29048e7i | −0.332824 | + | 0.434342i | ||||
\(376\) | 2.96125e7 | − | 2.02446e7i | 0.557072 | − | 0.380843i | ||||
\(377\) | −1.97609e6 | −0.0368794 | ||||||||
\(378\) | 1.84659e6 | − | 3.08139e6i | 0.0341896 | − | 0.0570521i | ||||
\(379\) | 4.22114e7 | 0.775376 | 0.387688 | − | 0.921791i | \(-0.373274\pi\) | ||||
0.387688 | + | 0.921791i | \(0.373274\pi\) | |||||||
\(380\) | 9.46124e6 | − | 3.07651e7i | 0.172424 | − | 0.560670i | ||||
\(381\) | 5.56828e7 | − | 7.26672e7i | 1.00681 | − | 1.31390i | ||||
\(382\) | 9.64435e7 | + | 1.44947e7i | 1.73015 | + | 0.260028i | ||||
\(383\) | 2.91516e7 | − | 1.68307e7i | 0.518879 | − | 0.299575i | −0.217597 | − | 0.976039i | \(-0.569822\pi\) |
0.736476 | + | 0.676464i | \(0.236489\pi\) | |||||||
\(384\) | −2.18584e7 | − | 5.22339e7i | −0.386034 | − | 0.922485i | ||||
\(385\) | −2.93569e6 | + | 5.08476e6i | −0.0514432 | + | 0.0891022i | ||||
\(386\) | −3.12446e7 | − | 2.48951e7i | −0.543266 | − | 0.432864i | ||||
\(387\) | −9.13178e7 | − | 2.43386e7i | −1.57551 | − | 0.419915i | ||||
\(388\) | −830807. | − | 3.62584e6i | −0.0142235 | − | 0.0620746i | ||||
\(389\) | 6.07252e7 | + | 3.50597e7i | 1.03162 | + | 0.595606i | 0.917449 | − | 0.397855i | \(-0.130245\pi\) |
0.114172 | + | 0.993461i | \(0.463578\pi\) | |||||||
\(390\) | 1.81887e7 | − | 1.75590e7i | 0.306625 | − | 0.296010i | ||||
\(391\) | −5.63086e7 | + | 3.25098e7i | −0.941985 | + | 0.543856i | ||||
\(392\) | 5.97964e7 | − | 4.55754e6i | 0.992697 | − | 0.0756611i | ||||
\(393\) | −5.24382e6 | + | 4.00362e7i | −0.0863913 | + | 0.659592i | ||||
\(394\) | 3.44137e7 | + | 8.75756e7i | 0.562656 | + | 1.43184i | ||||
\(395\) | −1.53168e7 | −0.248528 | ||||||||
\(396\) | −6.78707e7 | + | 3.60598e7i | −1.09294 | + | 0.580681i | ||||
\(397\) | − | 3.68007e7i | − | 0.588145i | −0.955783 | − | 0.294072i | \(-0.904989\pi\) | ||
0.955783 | − | 0.294072i | \(-0.0950107\pi\) | |||||||
\(398\) | −4.41008e6 | − | 1.12227e7i | −0.0699516 | − | 0.178012i | ||||
\(399\) | −760007. | − | 1.83138e6i | −0.0119646 | − | 0.0288310i | ||||
\(400\) | −2.97630e7 | − | 2.02183e7i | −0.465047 | − | 0.315911i | ||||
\(401\) | −2.99266e7 | − | 5.18344e7i | −0.464114 | − | 0.803869i | 0.535047 | − | 0.844822i | \(-0.320294\pi\) |
−0.999161 | + | 0.0409531i | \(0.986961\pi\) | |||||||
\(402\) | −1.89265e7 | − | 7.59614e7i | −0.291335 | − | 1.16927i | ||||
\(403\) | −1.68906e7 | + | 2.92553e7i | −0.258065 | + | 0.446982i | ||||
\(404\) | 3.11820e6 | − | 714489.i | 0.0472890 | − | 0.0108356i | ||||
\(405\) | 4.13237e7 | − | 7.20159e7i | 0.622062 | − | 1.08408i | ||||
\(406\) | 376517. | + | 300002.i | 0.00562609 | + | 0.00448276i | ||||
\(407\) | 6.92264e7 | + | 3.99679e7i | 1.02681 | + | 0.592827i | ||||
\(408\) | −5.70072e7 | + | 2.89171e7i | −0.839362 | + | 0.425770i | ||||
\(409\) | 4.11363e7 | + | 7.12502e7i | 0.601251 | + | 1.04140i | 0.992632 | + | 0.121168i | \(0.0386640\pi\) |
−0.391381 | + | 0.920229i | \(0.628003\pi\) | |||||||
\(410\) | −6.13694e7 | − | 9.22336e6i | −0.890430 | − | 0.133825i | ||||
\(411\) | −3.19859e7 | + | 1.32739e7i | −0.460716 | + | 0.191194i | ||||
\(412\) | 3.57386e7 | − | 1.16211e8i | 0.511029 | − | 1.66171i | ||||
\(413\) | − | 6.73066e6i | − | 0.0955450i | ||||||
\(414\) | −7.52207e7 | − | 3.26617e7i | −1.06008 | − | 0.460297i | ||||
\(415\) | − | 5.43881e6i | − | 0.0760957i | ||||||
\(416\) | −1.80304e7 | − | 1.66588e7i | −0.250452 | − | 0.231400i | ||||
\(417\) | 1.90950e6 | − | 1.45789e7i | 0.0263336 | − | 0.201056i | ||||
\(418\) | −6.30473e6 | + | 4.19497e7i | −0.0863252 | + | 0.574381i | ||||
\(419\) | 1.72597e7 | + | 2.98947e7i | 0.234634 | + | 0.406399i | 0.959166 | − | 0.282843i | \(-0.0912774\pi\) |
−0.724532 | + | 0.689241i | \(0.757944\pi\) | |||||||
\(420\) | −6.13132e6 | + | 584304.i | −0.0827573 | + | 0.00788662i | ||||
\(421\) | −1.04662e8 | − | 6.04264e7i | −1.40262 | − | 0.809805i | −0.407963 | − | 0.912999i | \(-0.633761\pi\) |
−0.994661 | + | 0.103193i | \(0.967094\pi\) | |||||||
\(422\) | 3.04847e7 | + | 2.42896e7i | 0.405644 | + | 0.323209i | ||||
\(423\) | 1.31535e7 | − | 4.93516e7i | 0.173788 | − | 0.652049i | ||||
\(424\) | 8.89100e7 | + | 4.26777e7i | 1.16641 | + | 0.559891i | ||||
\(425\) | −2.03094e7 | + | 3.51770e7i | −0.264564 | + | 0.458238i | ||||
\(426\) | −3.11195e7 | + | 1.08462e8i | −0.402535 | + | 1.40297i | ||||
\(427\) | −1.36824e6 | − | 2.36985e6i | −0.0175743 | − | 0.0304395i | ||||
\(428\) | 3.53849e7 | − | 3.28882e7i | 0.451322 | − | 0.419478i | ||||
\(429\) | −2.02660e7 | + | 2.64476e7i | −0.256683 | + | 0.334976i | ||||
\(430\) | 5.92605e7 | + | 1.50805e8i | 0.745349 | + | 1.89676i | ||||
\(431\) | − | 1.39715e8i | − | 1.74506i | −0.488561 | − | 0.872530i | \(-0.662478\pi\) | ||
0.488561 | − | 0.872530i | \(-0.337522\pi\) | |||||||
\(432\) | −7.21042e7 | − | 3.60669e7i | −0.894354 | − | 0.447361i | ||||
\(433\) | 5.85609e7 | 0.721347 | 0.360673 | − | 0.932692i | \(-0.382547\pi\) | ||||
0.360673 | + | 0.932692i | \(0.382547\pi\) | |||||||
\(434\) | 7.65968e6 | − | 3.00995e6i | 0.0937004 | − | 0.0368205i | ||||
\(435\) | 8.83221e6 | + | 6.76788e6i | 0.107300 | + | 0.0822214i | ||||
\(436\) | 1.02994e7 | + | 1.10813e7i | 0.124267 | + | 0.133700i | ||||
\(437\) | −3.91995e7 | + | 2.26318e7i | −0.469717 | + | 0.271191i | ||||
\(438\) | 1.05815e8 | + | 3.03601e7i | 1.25928 | + | 0.361310i | ||||
\(439\) | −4.39948e7 | − | 2.54004e7i | −0.520005 | − | 0.300225i | 0.216932 | − | 0.976187i | \(-0.430395\pi\) |
−0.736937 | + | 0.675962i | \(0.763728\pi\) | |||||||
\(440\) | 1.18793e8 | + | 5.70217e7i | 1.39454 | + | 0.669394i | ||||
\(441\) | 6.02973e7 | − | 6.04577e7i | 0.703043 | − | 0.704913i | ||||
\(442\) | −1.72692e7 | + | 2.16738e7i | −0.199989 | + | 0.250997i | ||||
\(443\) | 1.63472e7 | − | 2.83141e7i | 0.188032 | − | 0.325681i | −0.756562 | − | 0.653922i | \(-0.773122\pi\) |
0.944594 | + | 0.328241i | \(0.106456\pi\) | |||||||
\(444\) | 7.95500e6 | + | 8.34749e7i | 0.0908848 | + | 0.953689i | ||||
\(445\) | −1.31461e8 | + | 7.58992e7i | −1.49182 | + | 0.861305i | ||||
\(446\) | 9.91578e7 | + | 1.49027e7i | 1.11769 | + | 0.167981i | ||||
\(447\) | 1.35359e8 | + | 1.77289e7i | 1.51553 | + | 0.198499i | ||||
\(448\) | 906370. | + | 5.91139e6i | 0.0100803 | + | 0.0657439i | ||||
\(449\) | 3.79985e7 | 0.419785 | 0.209893 | − | 0.977724i | \(-0.432689\pi\) | ||||
0.209893 | + | 0.977724i | \(0.432689\pi\) | |||||||
\(450\) | −5.08982e7 | + | 5.82517e6i | −0.558554 | + | 0.0639251i | ||||
\(451\) | 8.17899e7 | 0.891600 | ||||||||
\(452\) | −1.28231e8 | − | 3.94350e7i | −1.38860 | − | 0.427038i | ||||
\(453\) | −4.60863e7 | − | 1.11053e8i | −0.495767 | − | 1.19464i | ||||
\(454\) | −1.09701e7 | + | 7.29917e7i | −0.117231 | + | 0.780020i | ||||
\(455\) | −2.31245e6 | + | 1.33509e6i | −0.0245492 | + | 0.0141735i | ||||
\(456\) | −3.96859e7 | + | 2.01308e7i | −0.418545 | + | 0.212308i | ||||
\(457\) | −8.28266e6 | + | 1.43460e7i | −0.0867804 | + | 0.150308i | −0.906148 | − | 0.422960i | \(-0.860991\pi\) |
0.819368 | + | 0.573268i | \(0.194325\pi\) | |||||||
\(458\) | −9.86954e7 | + | 1.23868e8i | −1.02731 | + | 1.28932i | ||||
\(459\) | −3.46619e7 | + | 8.41552e7i | −0.358438 | + | 0.870248i | ||||
\(460\) | 3.14026e7 | + | 1.37048e8i | 0.322620 | + | 1.40799i | ||||
\(461\) | −1.24507e8 | − | 7.18842e7i | −1.27084 | − | 0.733720i | −0.295695 | − | 0.955282i | \(-0.595551\pi\) |
−0.975146 | + | 0.221562i | \(0.928884\pi\) | |||||||
\(462\) | 7.87656e6 | − | 1.96252e6i | 0.0798750 | − | 0.0199016i | ||||
\(463\) | −6.38937e7 | + | 3.68890e7i | −0.643747 | + | 0.371667i | −0.786056 | − | 0.618155i | \(-0.787880\pi\) |
0.142310 | + | 0.989822i | \(0.454547\pi\) | |||||||
\(464\) | 6.07118e6 | − | 8.93729e6i | 0.0607742 | − | 0.0894648i | ||||
\(465\) | 1.75689e8 | − | 7.29095e7i | 1.74737 | − | 0.725146i | ||||
\(466\) | 1.69392e8 | − | 6.65642e7i | 1.67392 | − | 0.657783i | ||||
\(467\) | −4.75986e7 | −0.467352 | −0.233676 | − | 0.972315i | \(-0.575075\pi\) | ||||
−0.233676 | + | 0.972315i | \(0.575075\pi\) | |||||||
\(468\) | −3.49306e7 | − | 1.23091e6i | −0.340776 | − | 0.0120085i | ||||
\(469\) | 8.26825e6i | 0.0801484i | ||||||||
\(470\) | −8.15010e7 | + | 3.20266e7i | −0.784999 | + | 0.308473i | ||||
\(471\) | −7.47286e7 | − | 9.78772e6i | −0.715195 | − | 0.0936739i | ||||
\(472\) | −1.50617e8 | + | 1.14797e7i | −1.43235 | + | 0.109170i | ||||
\(473\) | −1.06774e8 | − | 1.84938e8i | −1.00898 | − | 1.74761i | ||||
\(474\) | 1.47076e7 | + | 1.52350e7i | 0.138104 | + | 0.143057i | ||||
\(475\) | −1.41385e7 | + | 2.44886e7i | −0.131924 | + | 0.228499i | ||||
\(476\) | 6.58083e6 | − | 1.50790e6i | 0.0610182 | − | 0.0139814i | ||||
\(477\) | 1.35588e8 | − | 3.65239e7i | 1.24930 | − | 0.336528i | ||||
\(478\) | −1.09409e7 | + | 1.37314e7i | −0.100177 | + | 0.125728i | ||||
\(479\) | 1.24626e8 | + | 7.19528e7i | 1.13397 | + | 0.654698i | 0.944931 | − | 0.327271i | \(-0.106129\pi\) |
0.189040 | + | 0.981969i | \(0.439462\pi\) | |||||||
\(480\) | 2.35329e7 | + | 1.36209e8i | 0.212790 | + | 1.23163i | ||||
\(481\) | 1.81766e7 | + | 3.14828e7i | 0.163335 | + | 0.282904i | ||||
\(482\) | 1.38726e7 | − | 9.23042e7i | 0.123885 | − | 0.824290i | ||||
\(483\) | 6.87502e6 | + | 5.26814e6i | 0.0610144 | + | 0.0467537i | ||||
\(484\) | −5.76219e7 | − | 1.77206e7i | −0.508220 | − | 0.156294i | ||||
\(485\) | 9.08069e6i | 0.0795964i | ||||||||
\(486\) | −1.11312e8 | + | 2.80487e7i | −0.969688 | + | 0.244345i | ||||
\(487\) | − | 4.13467e7i | − | 0.357976i | −0.983851 | − | 0.178988i | \(-0.942718\pi\) | ||
0.983851 | − | 0.178988i | \(-0.0572823\pi\) | |||||||
\(488\) | −5.06984e7 | + | 3.46600e7i | −0.436249 | + | 0.298242i | ||||
\(489\) | −8.96175e6 | − | 6.86714e6i | −0.0766419 | − | 0.0587286i | ||||
\(490\) | −1.44771e8 | − | 2.17580e7i | −1.23053 | − | 0.184940i | ||||
\(491\) | −2.88978e6 | − | 5.00524e6i | −0.0244129 | − | 0.0422845i | 0.853561 | − | 0.520993i | \(-0.174438\pi\) |
−0.877974 | + | 0.478709i | \(0.841105\pi\) | |||||||
\(492\) | 4.97546e7 | + | 6.98984e7i | 0.417770 | + | 0.586911i | ||||
\(493\) | −1.05630e7 | − | 6.09855e6i | −0.0881549 | − | 0.0508962i | ||||
\(494\) | −1.20221e7 | + | 1.50883e7i | −0.0997238 | + | 0.125158i | ||||
\(495\) | 1.81159e8 | − | 4.87995e7i | 1.49364 | − | 0.402346i | ||||
\(496\) | −8.04201e7 | − | 1.66273e8i | −0.659052 | − | 1.36262i | ||||
\(497\) | 5.95890e6 | − | 1.03211e7i | 0.0485397 | − | 0.0840731i | ||||
\(498\) | −5.40979e6 | + | 5.22251e6i | −0.0438018 | + | 0.0422855i | ||||
\(499\) | 2.48913e7 | + | 4.31130e7i | 0.200330 | + | 0.346981i | 0.948635 | − | 0.316374i | \(-0.102465\pi\) |
−0.748305 | + | 0.663355i | \(0.769132\pi\) | |||||||
\(500\) | −4.65661e7 | − | 5.01011e7i | −0.372529 | − | 0.400809i | ||||
\(501\) | −2.08086e8 | − | 2.72544e7i | −1.65474 | − | 0.216732i | ||||
\(502\) | −1.71966e8 | + | 6.75759e7i | −1.35935 | + | 0.534172i | ||||
\(503\) | − | 6.69958e7i | − | 0.526434i | −0.964737 | − | 0.263217i | \(-0.915216\pi\) | ||
0.964737 | − | 0.263217i | \(-0.0847835\pi\) | |||||||
\(504\) | 6.46867e6 | + | 5.53754e6i | 0.0505270 | + | 0.0432539i | ||||
\(505\) | −7.80934e6 | −0.0606373 | ||||||||
\(506\) | −6.77720e7 | − | 1.72465e8i | −0.523117 | − | 1.33122i | ||||
\(507\) | 1.06375e8 | − | 4.41446e7i | 0.816233 | − | 0.338730i | ||||
\(508\) | 1.47735e8 | + | 1.58950e8i | 1.12691 | + | 1.21246i | ||||
\(509\) | 4.82651e7 | − | 2.78658e7i | 0.365999 | − | 0.211309i | −0.305710 | − | 0.952125i | \(-0.598894\pi\) |
0.671709 | + | 0.740815i | \(0.265561\pi\) | |||||||
\(510\) | 1.51415e8 | − | 3.77266e7i | 1.14146 | − | 0.284405i | ||||
\(511\) | −1.00692e7 | − | 5.81347e6i | −0.0754629 | − | 0.0435685i | ||||
\(512\) | 1.30738e8 | − | 3.03649e7i | 0.974072 | − | 0.226236i | ||||
\(513\) | −2.41301e7 | + | 5.85851e7i | −0.178734 | + | 0.433945i | ||||
\(514\) | 1.49196e8 | + | 1.18876e8i | 1.09867 | + | 0.875398i | ||||
\(515\) | −1.48402e8 | + | 2.57039e8i | −1.08647 | + | 1.88182i | ||||
\(516\) | 9.30969e7 | − | 2.03752e8i | 0.677620 | − | 1.48304i | ||||
\(517\) | 9.99477e7 | − | 5.77049e7i | 0.723272 | − | 0.417581i | ||||
\(518\) | 1.31628e6 | − | 8.75810e6i | 0.00947018 | − | 0.0630116i | ||||
\(519\) | 7.93633e7 | + | 1.91241e8i | 0.567698 | + | 1.36797i | ||||
\(520\) | 3.38205e7 | + | 4.94704e7i | 0.240530 | + | 0.351832i | ||||
\(521\) | 6.25931e7 | 0.442602 | 0.221301 | − | 0.975206i | \(-0.428970\pi\) | ||||
0.221301 | + | 0.975206i | \(0.428970\pi\) | |||||||
\(522\) | −1.74919e6 | − | 1.52838e7i | −0.0122978 | − | 0.107453i | ||||
\(523\) | −1.22952e8 | −0.859470 | −0.429735 | − | 0.902955i | \(-0.641393\pi\) | ||||
−0.429735 | + | 0.902955i | \(0.641393\pi\) | |||||||
\(524\) | −9.14829e7 | − | 2.81339e7i | −0.635838 | − | 0.195540i | ||||
\(525\) | 5.36508e6 | + | 702701.i | 0.0370765 | + | 0.00485616i | ||||
\(526\) | −1.38465e7 | − | 2.08103e6i | −0.0951446 | − | 0.0142995i | ||||
\(527\) | −1.80574e8 | + | 1.04254e8i | −1.23374 | + | 0.712298i | ||||
\(528\) | −5.73509e7 | − | 1.72913e8i | −0.389618 | − | 1.17469i | ||||
\(529\) | 2.48428e7 | − | 4.30290e7i | 0.167816 | − | 0.290666i | ||||
\(530\) | −1.88293e8 | − | 1.50028e8i | −1.26475 | − | 1.00773i | ||||
\(531\) | −1.51879e8 | + | 1.52283e8i | −1.01441 | + | 1.01711i | ||||
\(532\) | 4.58128e6 | − | 1.04973e6i | 0.0304265 | − | 0.00697177i | ||||
\(533\) | 3.22131e7 | + | 1.85982e7i | 0.212741 | + | 0.122826i | ||||
\(534\) | 2.01727e8 | + | 5.78790e7i | 1.32477 | + | 0.380099i | ||||
\(535\) | −1.02130e8 | + | 5.89648e7i | −0.666949 | + | 0.385063i | ||||
\(536\) | 1.85025e8 | − | 1.41022e7i | 1.20153 | − | 0.0915782i | ||||
\(537\) | −1.01324e8 | − | 7.76420e7i | −0.654321 | − | 0.501388i | ||||
\(538\) | 2.45786e7 | + | 6.25473e7i | 0.157838 | + | 0.401663i | ||||
\(539\) | 1.92943e8 | 1.23215 | ||||||||
\(540\) | 1.51908e8 | + | 1.25135e8i | 0.964713 | + | 0.794687i | ||||
\(541\) | 1.66457e8i | 1.05126i | 0.850713 | + | 0.525631i | \(0.176171\pi\) | ||||
−0.850713 | + | 0.525631i | \(0.823829\pi\) | |||||||
\(542\) | 2.12752e7 | + | 5.41408e7i | 0.133621 | + | 0.340038i | ||||
\(543\) | 4.70308e7 | − | 6.13761e7i | 0.293753 | − | 0.383354i | ||||
\(544\) | −4.49675e7 | − | 1.44692e8i | −0.279320 | − | 0.898771i | ||||
\(545\) | −1.84657e7 | − | 3.19836e7i | −0.114072 | − | 0.197578i | ||||
\(546\) | 3.54845e6 | + | 1.01811e6i | 0.0218002 | + | 0.00625486i | ||||
\(547\) | −5.22941e6 | + | 9.05760e6i | −0.0319515 | + | 0.0553416i | −0.881559 | − | 0.472074i | \(-0.843506\pi\) |
0.849607 | + | 0.527415i | \(0.176839\pi\) | |||||||
\(548\) | −1.83341e7 | − | 8.00143e7i | −0.111408 | − | 0.486213i | ||||
\(549\) | −2.25196e7 | + | 8.44930e7i | −0.136095 | + | 0.510627i | ||||
\(550\) | −9.05372e7 | − | 7.21382e7i | −0.544175 | − | 0.433588i | ||||
\(551\) | −7.35349e6 | − | 4.24554e6i | −0.0439581 | − | 0.0253792i | ||||
\(552\) | 1.06163e8 | − | 1.62833e8i | 0.631185 | − | 0.968110i | ||||
\(553\) | −1.11829e6 | − | 1.93693e6i | −0.00661270 | − | 0.0114535i | ||||
\(554\) | −1.06784e8 | − | 1.60489e7i | −0.628026 | − | 0.0943876i | ||||
\(555\) | 2.65839e7 | − | 2.02966e8i | 0.155503 | − | 1.18726i | ||||
\(556\) | 3.33128e7 | + | 1.02447e7i | 0.193815 | + | 0.0596041i | ||||
\(557\) | − | 2.65077e8i | − | 1.53393i | −0.641687 | − | 0.766967i | \(-0.721765\pi\) | ||
0.641687 | − | 0.766967i | \(-0.278235\pi\) | |||||||
\(558\) | −2.41222e8 | − | 1.04741e8i | −1.38840 | − | 0.602859i | ||||
\(559\) | − | 9.71176e7i | − | 0.555984i | ||||||
\(560\) | 1.06634e6 | − | 1.45604e7i | 0.00607200 | − | 0.0829102i | ||||
\(561\) | −1.89951e8 | + | 7.88283e7i | −1.07586 | + | 0.446472i | ||||
\(562\) | 189933. | − | 1.26375e6i | 0.00107002 | − | 0.00711956i | ||||
\(563\) | 6.59761e7 | + | 1.14274e8i | 0.369710 | + | 0.640357i | 0.989520 | − | 0.144395i | \(-0.0461236\pi\) |
−0.619810 | + | 0.784752i | \(0.712790\pi\) | |||||||
\(564\) | 1.10115e8 | + | 5.03131e7i | 0.613777 | + | 0.280443i | ||||
\(565\) | 2.83625e8 | + | 1.63751e8i | 1.57253 | + | 0.907900i | ||||
\(566\) | 9.87970e7 | + | 7.87196e7i | 0.544872 | + | 0.434144i | ||||
\(567\) | 1.21241e7 | − | 32211.4i | 0.0665120 | − | 0.000176710i | ||||
\(568\) | −2.41127e8 | − | 1.15743e8i | −1.31583 | − | 0.631613i | ||||
\(569\) | −5.97768e7 | + | 1.03536e8i | −0.324486 | + | 0.562026i | −0.981408 | − | 0.191932i | \(-0.938525\pi\) |
0.656922 | + | 0.753958i | \(0.271858\pi\) | |||||||
\(570\) | 1.05409e8 | − | 2.62636e7i | 0.569183 | − | 0.141817i | ||||
\(571\) | −8.52868e7 | − | 1.47721e8i | −0.458114 | − | 0.793477i | 0.540747 | − | 0.841185i | \(-0.318142\pi\) |
−0.998861 | + | 0.0477084i | \(0.984808\pi\) | |||||||
\(572\) | −5.37687e7 | − | 5.78505e7i | −0.287304 | − | 0.309114i | ||||
\(573\) | 1.26163e8 | + | 3.04013e8i | 0.670607 | + | 1.61595i | ||||
\(574\) | −3.31425e6 | − | 8.43408e6i | −0.0175247 | − | 0.0445966i | ||||
\(575\) | − | 1.23520e8i | − | 0.649732i | ||||||
\(576\) | 1.12885e8 | − | 1.54199e8i | 0.590702 | − | 0.806890i | ||||
\(577\) | −1.19871e8 | −0.624004 | −0.312002 | − | 0.950081i | \(-0.601000\pi\) | ||||
−0.312002 | + | 0.950081i | \(0.601000\pi\) | |||||||
\(578\) | 2.05226e7 | − | 8.06457e6i | 0.106280 | − | 0.0417636i | ||||
\(579\) | 1.75101e7 | − | 1.33689e8i | 0.0902099 | − | 0.688747i | ||||
\(580\) | −1.93193e7 | + | 1.79562e7i | −0.0990163 | + | 0.0920300i | ||||
\(581\) | 687784. | − | 397092.i | 0.00350690 | − | 0.00202471i | ||||
\(582\) | 9.03223e6 | − | 8.71955e6i | 0.0458169 | − | 0.0442308i | ||||
\(583\) | 2.74791e8 | + | 1.58651e8i | 1.38675 | + | 0.800638i | ||||
\(584\) | −1.12919e8 | + | 2.35242e8i | −0.566927 | + | 1.18107i | ||||
\(585\) | 8.24464e7 | + | 2.19741e7i | 0.411817 | + | 0.109760i | ||||
\(586\) | 2.16578e8 | − | 2.71817e8i | 1.07627 | − | 1.35078i | ||||
\(587\) | 8.49561e7 | − | 1.47148e8i | 0.420030 | − | 0.727514i | −0.575912 | − | 0.817512i | \(-0.695353\pi\) |
0.995942 | + | 0.0899983i | \(0.0286862\pi\) | |||||||
\(588\) | 1.17371e8 | + | 1.64891e8i | 0.577338 | + | 0.811081i | ||||
\(589\) | −1.25707e8 | + | 7.25771e7i | −0.615197 | + | 0.355184i | ||||
\(590\) | 3.64654e8 | + | 5.48047e7i | 1.77552 | + | 0.266847i | ||||
\(591\) | −1.93156e8 | + | 2.52073e8i | −0.935722 | + | 1.22113i | ||||
\(592\) | −1.98232e8 | − | 1.45177e7i | −0.955451 | − | 0.0699733i | ||||
\(593\) | −9.20313e7 | −0.441338 | −0.220669 | − | 0.975349i | \(-0.570824\pi\) | ||||
−0.220669 | + | 0.975349i | \(0.570824\pi\) | |||||||
\(594\) | −2.22494e8 | − | 1.33334e8i | −1.06159 | − | 0.636182i | ||||
\(595\) | −1.64813e7 | −0.0782419 | ||||||||
\(596\) | −9.51182e7 | + | 3.09296e8i | −0.449288 | + | 1.46095i | ||||
\(597\) | 2.47528e7 | − | 3.23029e7i | 0.116333 | − | 0.151816i | ||||
\(598\) | 1.25248e7 | − | 8.33364e7i | 0.0585691 | − | 0.389701i | ||||
\(599\) | −1.58965e8 | + | 9.17783e7i | −0.739639 | + | 0.427031i | −0.821938 | − | 0.569577i | \(-0.807107\pi\) |
0.0822988 | + | 0.996608i | \(0.473774\pi\) | |||||||
\(600\) | 6.57430e6 | − | 1.21257e8i | 0.0304366 | − | 0.561375i | ||||
\(601\) | 2.11505e8 | − | 3.66338e8i | 0.974311 | − | 1.68756i | 0.292119 | − | 0.956382i | \(-0.405640\pi\) |
0.682191 | − | 0.731174i | \(-0.261027\pi\) | |||||||
\(602\) | −1.47439e7 | + | 1.85044e7i | −0.0675809 | + | 0.0848175i | ||||
\(603\) | 1.86575e8 | − | 1.87071e8i | 0.850944 | − | 0.853208i | ||||
\(604\) | 2.77806e8 | − | 6.36550e7i | 1.26075 | − | 0.288883i | ||||
\(605\) | 1.27450e8 | + | 7.35833e7i | 0.575538 | + | 0.332287i | ||||
\(606\) | 7.49876e6 | + | 7.76766e6i | 0.0336955 | + | 0.0349038i | ||||
\(607\) | 6.63284e7 | − | 3.82947e7i | 0.296574 | − | 0.171227i | −0.344329 | − | 0.938849i | \(-0.611893\pi\) |
0.640903 | + | 0.767622i | \(0.278560\pi\) | |||||||
\(608\) | −3.13044e7 | − | 1.00728e8i | −0.139282 | − | 0.448168i | ||||
\(609\) | −211008. | + | 1.61104e6i | −0.000934217 | + | 0.00713269i | ||||
\(610\) | 1.39535e8 | − | 5.48316e7i | 0.614742 | − | 0.241569i | ||||
\(611\) | 5.24861e7 | 0.230102 | ||||||||
\(612\) | −1.82919e8 | − | 1.14381e8i | −0.798003 | − | 0.499000i | ||||
\(613\) | − | 2.20650e8i | − | 0.957903i | −0.877841 | − | 0.478952i | \(-0.841017\pi\) | ||
0.877841 | − | 0.478952i | \(-0.158983\pi\) | |||||||
\(614\) | 5.68975e7 | − | 2.23584e7i | 0.245803 | − | 0.0965909i | ||||
\(615\) | −8.02807e7 | − | 1.93451e8i | −0.345132 | − | 0.831660i | ||||
\(616\) | 1.46228e6 | + | 1.91855e7i | 0.00625587 | + | 0.0820789i | ||||
\(617\) | 1.70768e8 | + | 2.95780e8i | 0.727030 | + | 1.25925i | 0.958133 | + | 0.286323i | \(0.0924332\pi\) |
−0.231103 | + | 0.972929i | \(0.574233\pi\) | |||||||
\(618\) | 3.98168e8 | − | 9.92071e7i | 1.68694 | − | 0.420318i | ||||
\(619\) | 9.43277e7 | − | 1.63380e8i | 0.397711 | − | 0.688855i | −0.595732 | − | 0.803183i | \(-0.703138\pi\) |
0.993443 | + | 0.114328i | \(0.0364714\pi\) | |||||||
\(620\) | 1.00704e8 | + | 4.39494e8i | 0.422542 | + | 1.84407i | ||||
\(621\) | −3.66724e7 | − | 2.74329e8i | −0.153131 | − | 1.14551i | ||||
\(622\) | 8.05084e7 | − | 1.01042e8i | 0.334557 | − | 0.419886i | ||||
\(623\) | −1.91962e7 | − | 1.10829e7i | −0.0793872 | − | 0.0458342i | ||||
\(624\) | 1.67309e7 | − | 8.11429e7i | 0.0688598 | − | 0.333962i | ||||
\(625\) | 1.52116e8 | + | 2.63472e8i | 0.623066 | + | 1.07918i | ||||
\(626\) | 4.47013e7 | − | 2.97429e8i | 0.182221 | − | 1.21244i | ||||
\(627\) | −1.32236e8 | + | 5.48768e7i | −0.536471 | + | 0.222631i | ||||
\(628\) | 5.25126e7 | − | 1.70755e8i | 0.212024 | − | 0.689438i | ||||
\(629\) | 2.24384e8i | 0.901654i | ||||||||
\(630\) | −1.23730e7 | − | 1.67035e7i | −0.0494827 | − | 0.0668014i | ||||
\(631\) | − | 2.39627e8i | − | 0.953779i | −0.878963 | − | 0.476889i | \(-0.841764\pi\) | ||
0.878963 | − | 0.476889i | \(-0.158236\pi\) | |||||||
\(632\) | −4.14369e7 | + | 2.83284e7i | −0.164148 | + | 0.112220i | ||||
\(633\) | −1.70843e7 | + | 1.30437e8i | −0.0673575 | + | 0.514270i | ||||
\(634\) | −2.27613e8 | − | 3.42085e7i | −0.893158 | − | 0.134235i | ||||
\(635\) | −2.64871e8 | − | 4.58771e8i | −1.03446 | − | 1.79174i | ||||
\(636\) | 3.15770e7 | + | 3.31349e8i | 0.122744 | + | 1.28800i | ||||
\(637\) | 7.59909e7 | + | 4.38733e7i | 0.293997 | + | 0.169739i | ||||
\(638\) | 2.16618e7 | − | 2.71866e7i | 0.0834127 | − | 0.104687i | ||||
\(639\) | −3.67720e8 | + | 9.90539e7i | −1.40933 | + | 0.379637i | ||||
\(640\) | −3.27647e8 | + | 971564.i | −1.24987 | + | 0.00370622i | ||||
\(641\) | −9.33434e7 | + | 1.61675e8i | −0.354413 | + | 0.613861i | −0.987017 | − | 0.160614i | \(-0.948653\pi\) |
0.632605 | + | 0.774475i | \(0.281986\pi\) | |||||||
\(642\) | 1.56719e8 | + | 4.49653e7i | 0.592264 | + | 0.169931i | ||||
\(643\) | 9.32479e7 | + | 1.61510e8i | 0.350757 | + | 0.607529i | 0.986382 | − | 0.164469i | \(-0.0525911\pi\) |
−0.635625 | + | 0.771998i | \(0.719258\pi\) | |||||||
\(644\) | −1.50382e7 | + | 1.39771e7i | −0.0563038 | + | 0.0523311i | ||||
\(645\) | −3.32616e8 | + | 4.34070e8i | −1.23955 | + | 1.61764i | ||||
\(646\) | −1.10828e8 | + | 4.35509e7i | −0.411103 | + | 0.161547i | ||||
\(647\) | − | 1.79540e8i | − | 0.662901i | −0.943473 | − | 0.331451i | \(-0.892462\pi\) | ||
0.943473 | − | 0.331451i | \(-0.107538\pi\) | |||||||
\(648\) | −2.13994e7 | − | 2.71255e8i | −0.0786462 | − | 0.996903i | ||||
\(649\) | −4.85992e8 | −1.77785 | ||||||||
\(650\) | −1.92547e7 | − | 4.89990e7i | −0.0701125 | − | 0.178422i | ||||
\(651\) | 2.20472e7 | + | 1.68942e7i | 0.0799117 | + | 0.0612341i | ||||
\(652\) | 1.96026e7 | − | 1.82195e7i | 0.0707248 | − | 0.0657346i | ||||
\(653\) | −1.10320e8 | + | 6.36932e7i | −0.396200 | + | 0.228746i | −0.684843 | − | 0.728691i | \(-0.740129\pi\) |
0.288643 | + | 0.957437i | \(0.406796\pi\) | |||||||
\(654\) | −1.40816e7 | + | 4.90788e7i | −0.0503405 | + | 0.175453i | ||||
\(655\) | 2.02345e8 | + | 1.16824e8i | 0.720059 | + | 0.415726i | ||||
\(656\) | −1.83083e8 | + | 8.85506e7i | −0.648540 | + | 0.313675i | ||||
\(657\) | 9.66365e7 | + | 3.58746e8i | 0.340757 | + | 1.26500i | ||||
\(658\) | −1.00005e7 | − | 7.96819e6i | −0.0351029 | − | 0.0279693i | ||||
\(659\) | 1.25191e8 | − | 2.16836e8i | 0.437437 | − | 0.757663i | −0.560054 | − | 0.828456i | \(-0.689220\pi\) |
0.997491 | + | 0.0707933i | \(0.0225531\pi\) | |||||||
\(660\) | 4.21900e7 | + | 4.42716e8i | 0.146750 | + | 1.53990i | ||||
\(661\) | 1.29316e8 | − | 7.46604e7i | 0.447761 | − | 0.258515i | −0.259123 | − | 0.965844i | \(-0.583433\pi\) |
0.706884 | + | 0.707329i | \(0.250100\pi\) | |||||||
\(662\) | −7.79738e7 | + | 5.18814e8i | −0.268766 | + | 1.78829i | ||||
\(663\) | −9.27374e7 | − | 1.21465e7i | −0.318211 | − | 0.0416782i | ||||
\(664\) | −1.00591e7 | − | 1.47138e7i | −0.0343602 | − | 0.0502598i | ||||
\(665\) | −1.14735e7 | −0.0390150 | ||||||||
\(666\) | −2.27410e8 | + | 1.68452e8i | −0.769815 | + | 0.570235i | ||||
\(667\) | 3.70908e7 | 0.124994 | ||||||||
\(668\) | 1.46224e8 | − | 4.75476e8i | 0.490557 | − | 1.59514i | ||||
\(669\) | 1.29714e8 | + | 3.12570e8i | 0.433219 | + | 1.04392i | ||||
\(670\) | −4.47957e8 | − | 6.73246e7i | −1.48940 | − | 0.223846i | ||||
\(671\) | −1.71117e8 | + | 9.87943e7i | −0.566402 | + | 0.327012i | ||||
\(672\) | −1.55066e7 | + | 1.29206e7i | −0.0510985 | + | 0.0425771i | ||||
\(673\) | −2.27813e8 | + | 3.94584e8i | −0.747367 | + | 1.29448i | 0.201714 | + | 0.979444i | \(0.435349\pi\) |
−0.949081 | + | 0.315032i | \(0.897985\pi\) | |||||||
\(674\) | 2.82004e8 | + | 2.24695e8i | 0.921032 | + | 0.733861i | ||||
\(675\) | −1.05530e8 | − | 1.36963e8i | −0.343134 | − | 0.445340i | ||||
\(676\) | 6.09731e7 | + | 2.66101e8i | 0.197378 | + | 0.861404i | ||||
\(677\) | 2.45001e8 | + | 1.41451e8i | 0.789591 | + | 0.455870i | 0.839818 | − | 0.542867i | \(-0.182661\pi\) |
−0.0502277 | + | 0.998738i | \(0.515995\pi\) | |||||||
\(678\) | −1.09468e8 | − | 4.39349e8i | −0.351235 | − | 1.40968i | ||||
\(679\) | −1.14833e6 | + | 662988.i | −0.00366823 | + | 0.00211786i | ||||
\(680\) | 2.81102e7 | + | 3.68814e8i | 0.0893998 | + | 1.17295i | ||||
\(681\) | −2.30088e8 | + | 9.54845e7i | −0.728537 | + | 0.302337i | ||||
\(682\) | −2.17335e8 | − | 5.53072e8i | −0.685136 | − | 1.74353i | ||||
\(683\) | −6.53397e7 | −0.205076 | −0.102538 | − | 0.994729i | \(-0.532696\pi\) | ||||
−0.102538 | + | 0.994729i | \(0.532696\pi\) | |||||||
\(684\) | −1.27340e8 | − | 7.96271e7i | −0.397921 | − | 0.248824i | ||||
\(685\) | 2.00391e8i | 0.623456i | ||||||||
\(686\) | −1.56714e7 | − | 3.98805e7i | −0.0485441 | − | 0.123534i | ||||
\(687\) | −5.30003e8 | − | 6.94181e7i | −1.63459 | − | 0.214093i | ||||
\(688\) | 4.39234e8 | + | 2.98376e8i | 1.34875 | + | 0.916217i | ||||
\(689\) | 7.21512e7 | + | 1.24970e8i | 0.220590 | + | 0.382073i | ||||
\(690\) | −3.41397e8 | + | 3.29578e8i | −1.03923 | + | 1.00326i | ||||
\(691\) | −2.65636e8 | + | 4.60095e8i | −0.805105 | + | 1.39448i | 0.111115 | + | 0.993808i | \(0.464558\pi\) |
−0.916220 | + | 0.400675i | \(0.868775\pi\) | |||||||
\(692\) | −4.78397e8 | + | 1.09618e8i | −1.44368 | + | 0.330797i | ||||
\(693\) | 1.93977e7 | + | 1.93462e7i | 0.0582842 | + | 0.0581295i | ||||
\(694\) | −2.92945e8 | − | 2.33413e8i | −0.876409 | − | 0.698306i | ||||
\(695\) | −7.36823e7 | − | 4.25405e7i | −0.219487 | − | 0.126721i | ||||
\(696\) | 3.64113e7 | + | 1.97414e6i | 0.107996 | + | 0.00585532i | ||||
\(697\) | 1.14794e8 | + | 1.98830e8i | 0.339018 | + | 0.587196i | ||||
\(698\) | −2.03196e7 | − | 3.05388e6i | −0.0597515 | − | 0.00898021i | ||||
\(699\) | 4.87568e8 | + | 3.73610e8i | 1.42759 | + | 1.09392i | ||||
\(700\) | −3.77010e6 | + | 1.22592e7i | −0.0109915 | + | 0.0357412i | ||||
\(701\) | − | 6.29860e8i | − | 1.82848i | −0.405175 | − | 0.914239i | \(-0.632789\pi\) | ||
0.405175 | − | 0.914239i | \(-0.367211\pi\) | |||||||
\(702\) | −5.73107e7 | − | 1.03107e8i | −0.165663 | − | 0.298041i | ||||
\(703\) | 1.56206e8i | 0.449606i | ||||||||
\(704\) | 4.26835e8 | − | 6.54450e7i | 1.22333 | − | 0.187568i | ||||
\(705\) | −2.34588e8 | − | 1.79758e8i | −0.669482 | − | 0.513005i | ||||
\(706\) | −1.22428e7 | + | 8.14596e7i | −0.0347909 | + | 0.231488i | ||||
\(707\) | −570166. | − | 987556.i | −0.00161340 | − | 0.00279450i | ||||
\(708\) | −2.95639e8 | − | 4.15333e8i | −0.833033 | − | 1.17030i | ||||
\(709\) | −4.16592e7 | − | 2.40519e7i | −0.116889 | − | 0.0674856i | 0.440416 | − | 0.897794i | \(-0.354831\pi\) |
−0.557304 | + | 0.830308i | \(0.688164\pi\) | |||||||
\(710\) | 5.10656e8 | + | 4.06881e8i | 1.42677 | + | 1.13682i | ||||
\(711\) | −1.84058e7 | + | 6.90581e7i | −0.0512089 | + | 0.192135i | ||||
\(712\) | −2.15270e8 | + | 4.48470e8i | −0.596409 | + | 1.24249i | ||||
\(713\) | 3.17032e8 | − | 5.49116e8i | 0.874651 | − | 1.51494i | ||||
\(714\) | 1.58258e7 | + | 1.63933e7i | 0.0434782 | + | 0.0450373i | ||||
\(715\) | 9.64013e7 | + | 1.66972e8i | 0.263733 | + | 0.456799i | ||||
\(716\) | 2.21633e8 | − | 2.05995e8i | 0.603804 | − | 0.561201i | ||||
\(717\) | −5.87537e7 | − | 7.69537e6i | −0.159396 | − | 0.0208772i | ||||
\(718\) | −6.59818e7 | − | 1.67910e8i | −0.178259 | − | 0.453631i | ||||
\(719\) | 1.85854e7i | 0.0500018i | 0.999687 | + | 0.0250009i | \(0.00795887\pi\) | ||||
−0.999687 | + | 0.0250009i | \(0.992041\pi\) | |||||||
\(720\) | −3.52684e8 | + | 3.05369e8i | −0.944905 | + | 0.818141i | ||||
\(721\) | −4.33397e7 | −0.115633 | ||||||||
\(722\) | 2.73139e8 | − | 1.07333e8i | 0.725724 | − | 0.285181i | ||||
\(723\) | 2.90965e8 | − | 1.20748e8i | 0.769886 | − | 0.319496i | ||||
\(724\) | 1.24779e8 | + | 1.34252e8i | 0.328797 | + | 0.353757i | ||||
\(725\) | 2.00669e7 | − | 1.15856e7i | 0.0526583 | − | 0.0304023i | ||||
\(726\) | −4.91907e7 | − | 1.97427e8i | −0.128550 | − | 0.515936i | ||||
\(727\) | 4.39676e8 | + | 2.53847e8i | 1.14427 | + | 0.660645i | 0.947485 | − | 0.319801i | \(-0.103616\pi\) |
0.196787 | + | 0.980446i | \(0.436949\pi\) | |||||||
\(728\) | −3.78668e6 | + | 7.88876e6i | −0.00981442 | + | 0.0204463i | ||||
\(729\) | −2.75037e8 | − | 2.72854e8i | −0.709919 | − | 0.704283i | ||||
\(730\) | 3.96951e8 | − | 4.98194e8i | 1.02040 | − | 1.28065i | ||||
\(731\) | 2.99721e8 | − | 5.19131e8i | 0.767299 | − | 1.32900i | ||||
\(732\) | −1.88524e8 | − | 8.61392e7i | −0.480656 | − | 0.219618i | ||||
\(733\) | 4.70054e8 | − | 2.71386e8i | 1.19354 | − | 0.689089i | 0.234430 | − | 0.972133i | \(-0.424678\pi\) |
0.959107 | + | 0.283044i | \(0.0913443\pi\) | |||||||
\(734\) | 1.08912e8 | + | 1.63687e7i | 0.275416 | + | 0.0413929i | ||||
\(735\) | −1.89383e8 | − | 4.56353e8i | −0.476956 | − | 1.14931i | ||||
\(736\) | 3.38426e8 | + | 3.12682e8i | 0.848848 | + | 0.784277i | ||||
\(737\) | 5.97014e8 | 1.49136 | ||||||||
\(738\) | −1.15331e8 | + | 2.65610e8i | −0.286930 | + | 0.660808i | ||||
\(739\) | 4.13700e8 | 1.02507 | 0.512533 | − | 0.858668i | \(-0.328707\pi\) | ||||
0.512533 | + | 0.858668i | \(0.328707\pi\) | |||||||
\(740\) | 4.63778e8 | + | 1.42626e8i | 1.14450 | + | 0.351969i | ||||
\(741\) | −6.45597e7 | − | 8.45582e6i | −0.158674 | − | 0.0207827i | ||||
\(742\) | 5.22490e6 | − | 3.47649e7i | 0.0127899 | − | 0.0850998i | ||||
\(743\) | 3.75774e8 | − | 2.16953e8i | 0.916137 | − | 0.528932i | 0.0337366 | − | 0.999431i | \(-0.489259\pi\) |
0.882401 | + | 0.470499i | \(0.155926\pi\) | |||||||
\(744\) | 3.40450e8 | − | 5.22182e8i | 0.826675 | − | 1.26795i | ||||
\(745\) | 3.94971e8 | − | 6.84110e8i | 0.955205 | − | 1.65446i | ||||
\(746\) | −4.25047e8 | + | 5.33456e8i | −1.02381 | + | 1.28494i | ||||
\(747\) | −2.45217e7 | − | 6.53568e6i | −0.0588287 | − | 0.0156794i | ||||
\(748\) | −1.08879e8 | − | 4.75173e8i | −0.260159 | − | 1.13539i | ||||
\(749\) | −1.49132e7 | − | 8.61014e6i | −0.0354916 | − | 0.0204911i | ||||
\(750\) | 6.36659e7 | − | 2.21896e8i | 0.150912 | − | 0.525976i | ||||
\(751\) | 1.50102e8 | − | 8.66614e7i | 0.354378 | − | 0.204600i | −0.312234 | − | 0.950005i | \(-0.601077\pi\) |
0.666612 | + | 0.745405i | \(0.267744\pi\) | |||||||
\(752\) | −1.61254e8 | + | 2.37379e8i | −0.379190 | + | 0.558199i | ||||
\(753\) | −4.94979e8 | − | 3.79289e8i | −1.15932 | − | 0.888351i | ||||
\(754\) | 1.47135e7 | − | 5.78182e6i | 0.0343243 | − | 0.0134881i | ||||
\(755\) | −6.95747e8 | −1.61663 | ||||||||
\(756\) | −4.73343e6 | + | 2.83462e7i | −0.0109549 | + | 0.0656038i | ||||
\(757\) | − | 4.26553e8i | − | 0.983299i | −0.870793 | − | 0.491649i | \(-0.836394\pi\) | ||
0.870793 | − | 0.491649i | \(-0.163606\pi\) | |||||||
\(758\) | −3.14296e8 | + | 1.23506e8i | −0.721658 | + | 0.283583i | ||||
\(759\) | 3.80389e8 | − | 4.96415e8i | 0.869967 | − | 1.13532i | ||||
\(760\) | 1.95690e7 | + | 2.56752e8i | 0.0445788 | + | 0.584888i | ||||
\(761\) | 1.63469e8 | + | 2.83137e8i | 0.370921 | + | 0.642454i | 0.989708 | − | 0.143105i | \(-0.0457087\pi\) |
−0.618786 | + | 0.785559i | \(0.712375\pi\) | |||||||
\(762\) | −2.01985e8 | + | 7.03983e8i | −0.456514 | + | 1.59110i | ||||
\(763\) | 2.69640e6 | − | 4.67030e6i | 0.00607030 | − | 0.0105141i | ||||
\(764\) | −7.60504e8 | + | 1.74258e8i | −1.70538 | + | 0.390762i | ||||
\(765\) | 3.72893e8 | + | 3.71903e8i | 0.832913 | + | 0.830703i | ||||
\(766\) | −1.67811e8 | + | 2.10611e8i | −0.373365 | + | 0.468592i | ||||
\(767\) | −1.91409e8 | − | 1.10510e8i | −0.424204 | − | 0.244915i | ||||
\(768\) | 3.15583e8 | + | 3.24966e8i | 0.696674 | + | 0.717387i | ||||
\(769\) | −2.29008e8 | − | 3.96653e8i | −0.503583 | − | 0.872232i | −0.999991 | − | 0.00414260i | \(-0.998681\pi\) |
0.496408 | − | 0.868089i | \(-0.334652\pi\) | |||||||
\(770\) | 6.98099e6 | − | 4.64493e7i | 0.0152913 | − | 0.101744i | ||||
\(771\) | −8.36125e7 | + | 6.38376e8i | −0.182435 | + | 1.39288i | ||||
\(772\) | 3.05480e8 | + | 9.39446e7i | 0.663942 | + | 0.204183i | ||||
\(773\) | − | 4.77166e8i | − | 1.03307i | −0.856265 | − | 0.516537i | \(-0.827221\pi\) | ||
0.856265 | − | 0.516537i | \(-0.172779\pi\) | |||||||
\(774\) | 7.51141e8 | − | 8.59663e7i | 1.61994 | − | 0.185398i | ||||
\(775\) | − | 3.96111e8i | − | 0.850966i | ||||||
\(776\) | 1.67948e7 | + | 2.45663e7i | 0.0359409 | + | 0.0525719i | ||||
\(777\) | 2.76077e7 | − | 1.14570e7i | 0.0588528 | − | 0.0244234i | ||||
\(778\) | −5.54725e8 | − | 8.33711e7i | −1.17798 | − | 0.177042i | ||||
\(779\) | 7.99147e7 | + | 1.38416e8i | 0.169050 | + | 0.292803i | ||||
\(780\) | −8.40527e7 | + | 1.83958e8i | −0.177120 | + | 0.387645i | ||||
\(781\) | −7.45242e8 | − | 4.30266e8i | −1.56439 | − | 0.903200i | ||||
\(782\) | 3.24140e8 | − | 4.06812e8i | 0.677816 | − | 0.850694i | ||||
\(783\) | 4.11275e7 | − | 3.16886e7i | 0.0856736 | − | 0.0660113i | ||||
\(784\) | −4.31894e8 | + | 2.08892e8i | −0.896250 | + | 0.433484i | ||||
\(785\) | −2.18055e8 | + | 3.77681e8i | −0.450771 | + | 0.780759i | ||||
\(786\) | −7.80972e7 | − | 3.13443e8i | −0.160830 | − | 0.645491i | ||||
\(787\) | −2.38365e8 | − | 4.12860e8i | −0.489010 | − | 0.846991i | 0.510910 | − | 0.859634i | \(-0.329309\pi\) |
−0.999920 | + | 0.0126435i | \(0.995975\pi\) | |||||||
\(788\) | −5.12472e8 | − | 5.51375e8i | −1.04735 | − | 1.12686i | ||||
\(789\) | −1.81134e7 | − | 4.36477e7i | −0.0368782 | − | 0.0888649i | ||||
\(790\) | 1.14045e8 | − | 4.48151e7i | 0.231310 | − | 0.0908956i | ||||
\(791\) | 4.78223e7i | 0.0966275i | ||||||||
\(792\) | 3.99841e8 | − | 4.67074e8i | 0.804845 | − | 0.940178i | ||||
\(793\) | −8.98594e7 | −0.180195 | ||||||||
\(794\) | 1.07674e8 | + | 2.74009e8i | 0.215105 | + | 0.547398i | ||||
\(795\) | 1.05523e8 | − | 8.05664e8i | 0.210013 | − | 1.60344i | ||||
\(796\) | 6.56728e7 | + | 7.06583e7i | 0.130211 | + | 0.140095i | ||||
\(797\) | −8.03779e7 | + | 4.64062e7i | −0.158767 | + | 0.0916644i | −0.577279 | − | 0.816547i | \(-0.695885\pi\) |
0.418511 | + | 0.908212i | \(0.362552\pi\) | |||||||
\(798\) | 1.10172e7 | + | 1.14123e7i | 0.0216802 | + | 0.0224576i | ||||
\(799\) | 2.80559e8 | + | 1.61981e8i | 0.550026 | + | 0.317558i | ||||
\(800\) | 2.80764e8 | + | 6.34573e7i | 0.548368 | + | 0.123940i | ||||
\(801\) | 1.84230e8 | + | 6.83919e8i | 0.358478 | + | 1.33078i | ||||
\(802\) | 3.74488e8 | + | 2.98385e8i | 0.725963 | + | 0.578433i | ||||
\(803\) | −4.19765e8 | + | 7.27055e8i | −0.810699 | + | 1.40417i | ||||
\(804\) | 3.63176e8 | + | 5.10213e8i | 0.698794 | + | 0.981711i | ||||
\(805\) | 4.34041e7 | − | 2.50594e7i | 0.0832039 | − | 0.0480378i | ||||
\(806\) | 4.01654e7 | − | 2.67248e8i | 0.0767090 | − | 0.510398i | ||||
\(807\) | −1.37954e8 | + | 1.80033e8i | −0.262491 | + | 0.342556i | ||||
\(808\) | −2.11268e7 | + | 1.44434e7i | −0.0400498 | + | 0.0273801i | ||||
\(809\) | 2.18461e7 | 0.0412599 | 0.0206300 | − | 0.999787i | \(-0.493433\pi\) | ||||
0.0206300 | + | 0.999787i | \(0.493433\pi\) | |||||||
\(810\) | −9.69757e7 | + | 6.57120e8i | −0.182477 | + | 1.23649i | ||||
\(811\) | 5.65020e8 | 1.05926 | 0.529628 | − | 0.848230i | \(-0.322331\pi\) | ||||
0.529628 | + | 0.848230i | \(0.322331\pi\) | |||||||
\(812\) | −3.68122e6 | − | 1.13209e6i | −0.00687581 | − | 0.00211453i | ||||
\(813\) | −1.19413e8 | + | 1.55836e8i | −0.222218 | + | 0.289999i | ||||
\(814\) | −6.32384e8 | − | 9.50426e7i | −1.17249 | − | 0.176216i | ||||
\(815\) | −5.65783e7 | + | 3.26655e7i | −0.104515 | + | 0.0603416i | ||||
\(816\) | 3.39854e8 | − | 3.82106e8i | 0.625491 | − | 0.703257i | ||||
\(817\) | 2.08652e8 | − | 3.61396e8i | 0.382610 | − | 0.662701i | ||||
\(818\) | −5.14761e8 | − | 4.10151e8i | −0.940471 | − | 0.749349i | ||||
\(819\) | 3.24067e6 | + | 1.20304e7i | 0.00589906 | + | 0.0218992i | ||||
\(820\) | 4.83927e8 | − | 1.10885e8i | 0.877685 | − | 0.201108i | ||||
\(821\) | 2.54980e8 | + | 1.47213e8i | 0.460763 | + | 0.266021i | 0.712365 | − | 0.701809i | \(-0.247624\pi\) |
−0.251602 | + | 0.967831i | \(0.580957\pi\) | |||||||
\(822\) | 1.99321e8 | − | 1.92421e8i | 0.358871 | − | 0.346448i | ||||
\(823\) | 3.97631e8 | − | 2.29572e8i | 0.713314 | − | 0.411832i | −0.0989729 | − | 0.995090i | \(-0.531556\pi\) |
0.812287 | + | 0.583258i | \(0.198222\pi\) | |||||||
\(824\) | 7.39195e7 | + | 9.69846e8i | 0.132123 | + | 1.73349i | ||||
\(825\) | 5.07390e7 | − | 3.87389e8i | 0.0903608 | − | 0.689899i | ||||
\(826\) | 1.96931e7 | + | 5.01148e7i | 0.0349442 | + | 0.0889255i | ||||
\(827\) | 3.42111e8 | 0.604854 | 0.302427 | − | 0.953173i | \(-0.402203\pi\) | ||||
0.302427 | + | 0.953173i | \(0.402203\pi\) | |||||||
\(828\) | 6.55639e8 | + | 2.31040e7i | 1.15498 | + | 0.0407001i | ||||
\(829\) | 6.65950e8i | 1.16890i | 0.811429 | + | 0.584451i | \(0.198690\pi\) | ||||
−0.811429 | + | 0.584451i | \(0.801310\pi\) | |||||||
\(830\) | 1.59133e7 | + | 4.04961e7i | 0.0278309 | + | 0.0708237i | ||||
\(831\) | −1.39690e8 | − | 3.36610e8i | −0.243424 | − | 0.586575i | ||||
\(832\) | 1.82991e8 | + | 7.12826e7i | 0.317732 | + | 0.123769i | ||||
\(833\) | 2.70801e8 | + | 4.69040e8i | 0.468505 | + | 0.811475i | ||||
\(834\) | 2.84385e7 | + | 1.14138e8i | 0.0490239 | + | 0.196757i | ||||
\(835\) | −6.07184e8 | + | 1.05167e9i | −1.04294 | + | 1.80643i | ||||
\(836\) | −7.57965e7 | − | 3.30794e8i | −0.129727 | − | 0.566160i | ||||
\(837\) | −1.17603e8 | − | 8.79734e8i | −0.200559 | − | 1.50029i | ||||
\(838\) | −2.15980e8 | − | 1.72089e8i | −0.367013 | − | 0.292429i | ||||
\(839\) | −2.00532e8 | − | 1.15777e8i | −0.339545 | − | 0.196037i | 0.320526 | − | 0.947240i | \(-0.396140\pi\) |
−0.660071 | + | 0.751203i | \(0.729474\pi\) | |||||||
\(840\) | 4.39427e7 | − | 2.22901e7i | 0.0741394 | − | 0.0376075i | ||||
\(841\) | −2.93933e8 | − | 5.09106e8i | −0.494151 | − | 0.855895i | ||||
\(842\) | 9.56085e8 | + | 1.43692e8i | 1.60162 | + | 0.240712i | ||||
\(843\) | 3.98366e6 | − | 1.65319e6i | 0.00664966 | − | 0.00275955i | ||||
\(844\) | −2.98050e8 | − | 9.16598e7i | −0.495749 | − | 0.152458i | ||||
\(845\) | − | 6.66434e8i | − | 1.10455i | ||||||
\(846\) | 4.64595e7 | + | 4.05946e8i | 0.0767296 | + | 0.670435i | ||||
\(847\) | 2.14895e7i | 0.0353652i | ||||||||
\(848\) | −7.86872e8 | − | 5.76272e7i | −1.29038 | − | 0.0945018i | ||||
\(849\) | −5.53680e7 | + | 4.22731e8i | −0.0904765 | + | 0.690782i | ||||
\(850\) | 4.82953e7 | − | 3.21342e8i | 0.0786408 | − | 0.523252i | ||||
\(851\) | −3.41171e8 | − | 5.90925e8i | −0.553584 | − | 0.958835i | ||||
\(852\) | −8.56378e7 | − | 8.98630e8i | −0.138467 | − | 1.45299i | ||||
\(853\) | −5.44012e8 | − | 3.14086e8i | −0.876520 | − | 0.506059i | −0.00701033 | − | 0.999975i | \(-0.502231\pi\) |
−0.869509 | + | 0.493917i | \(0.835565\pi\) | |||||||
\(854\) | 1.71214e7 | + | 1.36420e7i | 0.0274895 | + | 0.0219031i | ||||
\(855\) | 2.59591e8 | + | 2.58902e8i | 0.415328 | + | 0.414226i | ||||
\(856\) | −1.67240e8 | + | 3.48409e8i | −0.266636 | + | 0.555480i | ||||
\(857\) | −2.65340e8 | + | 4.59583e8i | −0.421561 | + | 0.730165i | −0.996092 | − | 0.0883174i | \(-0.971851\pi\) |
0.574531 | + | 0.818483i | \(0.305184\pi\) | |||||||
\(858\) | 7.35134e7 | − | 2.56218e8i | 0.116387 | − | 0.405647i | ||||
\(859\) | −8.48459e7 | − | 1.46957e8i | −0.133860 | − | 0.231853i | 0.791301 | − | 0.611426i | \(-0.209404\pi\) |
−0.925161 | + | 0.379574i | \(0.876071\pi\) | |||||||
\(860\) | −8.82477e8 | − | 9.49470e8i | −1.38742 | − | 1.49275i | ||||
\(861\) | 1.86022e7 | − | 2.42762e7i | 0.0291443 | − | 0.0380339i | ||||
\(862\) | 4.08789e8 | + | 1.04028e9i | 0.638230 | + | 1.62416i | ||||
\(863\) | 7.14971e8i | 1.11239i | 0.831053 | + | 0.556193i | \(0.187739\pi\) | ||||
−0.831053 | + | 0.556193i | \(0.812261\pi\) | |||||||
\(864\) | 6.42397e8 | + | 5.75768e7i | 0.996007 | + | 0.0892701i | ||||
\(865\) | 1.19812e9 | 1.85119 | ||||||||
\(866\) | −4.36030e8 | + | 1.71342e8i | −0.671371 | + | 0.263822i | ||||
\(867\) | 5.90713e7 | + | 4.52647e7i | 0.0906398 | + | 0.0694548i | ||||
\(868\) | −4.82253e7 | + | 4.48226e7i | −0.0737421 | + | 0.0685391i | ||||
\(869\) | −1.39858e8 | + | 8.07468e7i | −0.213121 | + | 0.123046i | ||||
\(870\) | −8.55645e7 | − | 2.45499e7i | −0.129938 | − | 0.0372814i | ||||
\(871\) | 2.35135e8 | + | 1.35755e8i | 0.355846 | + | 0.205448i | ||||
\(872\) | −1.09110e8 | − | 5.23738e7i | −0.164556 | − | 0.0789886i | ||||
\(873\) | 4.09417e7 | + | 1.09120e7i | 0.0615351 | + | 0.0164007i | ||||
\(874\) | 2.25652e8 | − | 2.83204e8i | 0.337990 | − | 0.424195i | ||||
\(875\) | −1.21910e7 | + | 2.11154e7i | −0.0181977 | + | 0.0315193i | ||||
\(876\) | −8.76700e8 | + | 8.35478e7i | −1.30418 | + | 0.124286i | ||||
\(877\) | −8.63012e8 | + | 4.98260e8i | −1.27944 | + | 0.738682i | −0.976744 | − | 0.214407i | \(-0.931218\pi\) |
−0.302691 | + | 0.953089i | \(0.597885\pi\) | |||||||
\(878\) | 4.01893e8 | + | 6.04015e7i | 0.593781 | + | 0.0892409i | ||||
\(879\) | 1.16304e9 | + | 1.52332e8i | 1.71250 | + | 0.224297i | ||||
\(880\) | −1.05134e9 | − | 7.69958e7i | −1.54275 | − | 0.112985i | ||||
\(881\) | −2.52131e8 | −0.368722 | −0.184361 | − | 0.982859i | \(-0.559022\pi\) | ||||
−0.184361 | + | 0.982859i | \(0.559022\pi\) | |||||||
\(882\) | −2.72066e8 | + | 6.26575e8i | −0.396524 | + | 0.913204i | ||||
\(883\) | −1.24812e9 | −1.81290 | −0.906448 | − | 0.422318i | \(-0.861217\pi\) | ||||
−0.906448 | + | 0.422318i | \(0.861217\pi\) | |||||||
\(884\) | 6.51676e7 | − | 2.11905e8i | 0.0943354 | − | 0.306750i | ||||
\(885\) | 4.77024e8 | + | 1.14948e9i | 0.688193 | + | 1.65833i | ||||
\(886\) | −3.88732e7 | + | 2.58650e8i | −0.0558919 | + | 0.371887i | ||||
\(887\) | −7.45420e8 | + | 4.30369e8i | −1.06815 | + | 0.616694i | −0.927674 | − | 0.373391i | \(-0.878195\pi\) |
−0.140471 | + | 0.990085i | \(0.544862\pi\) | |||||||
\(888\) | −3.03469e8 | − | 5.98258e8i | −0.433386 | − | 0.854377i | ||||
\(889\) | 3.86769e7 | − | 6.69904e7i | 0.0550487 | − | 0.0953471i | ||||
\(890\) | 7.56755e8 | − | 9.49766e8i | 1.07346 | − | 1.34725i | ||||
\(891\) | −2.32585e6 | − | 8.75427e8i | −0.00328812 | − | 1.23762i | ||||
\(892\) | −7.81908e8 | + | 1.79162e8i | −1.10169 | + | 0.252437i | ||||
\(893\) | 1.95312e8 | + | 1.12764e8i | 0.274268 | + | 0.158349i | ||||
\(894\) | −1.05972e9 | + | 2.64040e8i | −1.48313 | + | 0.369536i | ||||
\(895\) | −6.39692e8 | + | 3.69327e8i | −0.892282 | + | 0.515159i | ||||
\(896\) | −2.40446e7 | − | 4.13628e7i | −0.0334267 | − | 0.0575024i | ||||
\(897\) | 2.62697e8 | − | 1.09017e8i | 0.363980 | − | 0.151049i | ||||
\(898\) | −2.82927e8 | + | 1.11179e8i | −0.390702 | + | 0.153530i | ||||
\(899\) | 1.18945e8 | 0.163707 | ||||||||
\(900\) | 3.61932e8 | − | 1.92295e8i | 0.496477 | − | 0.263779i | ||||
\(901\) | 8.90681e8i | 1.21772i | ||||||||
\(902\) | −6.08988e8 | + | 2.39308e8i | −0.829829 | + | 0.326090i | ||||
\(903\) | −7.91763e7 | − | 1.03703e7i | −0.107531 | − | 0.0140840i | ||||
\(904\) | 1.07016e9 | − | 8.15649e7i | 1.44858 | − | 0.110407i | ||||
\(905\) | −2.23715e8 | − | 3.87486e8i | −0.301821 | − | 0.522770i | ||||
\(906\) | 6.68077e8 | + | 6.92034e8i | 0.898342 | + | 0.930556i | ||||
\(907\) | −4.77802e8 | + | 8.27577e8i | −0.640363 | + | 1.10914i | 0.344989 | + | 0.938607i | \(0.387883\pi\) |
−0.985352 | + | 0.170534i | \(0.945451\pi\) | |||||||
\(908\) | −1.31884e8 | − | 5.75575e8i | −0.176172 | − | 0.768855i | ||||
\(909\) | −9.38428e6 | + | 3.52096e7i | −0.0124942 | + | 0.0468781i | ||||
\(910\) | 1.33116e7 | − | 1.67067e7i | 0.0176647 | − | 0.0221701i | ||||
\(911\) | −1.96400e8 | − | 1.13391e8i | −0.259768 | − | 0.149977i | 0.364461 | − | 0.931219i | \(-0.381253\pi\) |
−0.624229 | + | 0.781242i | \(0.714587\pi\) | |||||||
\(912\) | 2.36591e8 | − | 2.66005e8i | 0.311899 | − | 0.350676i | ||||
\(913\) | −2.86723e7 | − | 4.96618e7i | −0.0376747 | − | 0.0652545i | ||||
\(914\) | 1.96960e7 | − | 1.31051e8i | 0.0257952 | − | 0.171633i | ||||
\(915\) | 4.01629e8 | + | 3.07757e8i | 0.524278 | + | 0.401740i | ||||
\(916\) | 3.72439e8 | − | 1.21106e9i | 0.484583 | − | 1.57572i | ||||
\(917\) | 3.41176e7i | 0.0442456i | ||||||||
\(918\) | 1.18559e7 | − | 7.28015e8i | 0.0153252 | − | 0.941050i | ||||
\(919\) | 7.40854e8i | 0.954522i | 0.878762 | + | 0.477261i | \(0.158370\pi\) | ||||
−0.878762 | + | 0.477261i | \(0.841630\pi\) | |||||||
\(920\) | −6.34803e8 | − | 9.28547e8i | −0.815221 | − | 1.19245i | ||||
\(921\) | 1.63771e8 | + | 1.25493e8i | 0.209632 | + | 0.160635i | ||||
\(922\) | 1.13737e9 | + | 1.70939e8i | 1.45114 | + | 0.218096i | ||||
\(923\) | −1.95676e8 | − | 3.38922e8i | −0.248848 | − | 0.431017i | ||||
\(924\) | −5.29048e7 | + | 3.76583e7i | −0.0670624 | + | 0.0477359i | ||||
\(925\) | −3.69162e8 | − | 2.13136e8i | −0.466435 | − | 0.269296i | ||||
\(926\) | 3.67803e8 | − | 4.61612e8i | 0.463215 | − | 0.581359i | ||||
\(927\) | 9.80572e8 | + | 9.77970e8i | 1.23095 | + | 1.22768i | ||||
\(928\) | −1.90551e7 | + | 8.43084e7i | −0.0238433 | + | 0.105494i | ||||
\(929\) | 6.99467e8 | − | 1.21151e9i | 0.872409 | − | 1.51106i | 0.0129115 | − | 0.999917i | \(-0.495890\pi\) |
0.859497 | − | 0.511140i | \(-0.170777\pi\) | |||||||
\(930\) | −1.09481e9 | + | 1.05691e9i | −1.36110 | + | 1.31398i | ||||
\(931\) | 1.88519e8 | + | 3.26525e8i | 0.233618 | + | 0.404639i | ||||
\(932\) | −1.06649e9 | + | 9.91240e8i | −1.31737 | + | 1.22442i | ||||
\(933\) | 4.32337e8 | + | 5.66262e7i | 0.532326 | + | 0.0697224i | ||||
\(934\) | 3.54407e8 | − | 1.39268e8i | 0.434973 | − | 0.170927i | ||||
\(935\) | 1.19004e9i | 1.45588i | ||||||||
\(936\) | 2.63686e8 | − | 9.30378e7i | 0.321558 | − | 0.113457i | ||||
\(937\) | −6.68910e8 | −0.813110 | −0.406555 | − | 0.913626i | \(-0.633270\pi\) | ||||
−0.406555 | + | 0.913626i | \(0.633270\pi\) | |||||||
\(938\) | −2.41919e7 | − | 6.15633e7i | −0.0293131 | − | 0.0745956i | ||||
\(939\) | 9.37568e8 | − | 3.89083e8i | 1.13242 | − | 0.469944i | ||||
\(940\) | 5.13130e8 | − | 4.76925e8i | 0.617794 | − | 0.574204i | ||||
\(941\) | 8.08150e8 | − | 4.66586e8i | 0.969891 | − | 0.559967i | 0.0706881 | − | 0.997498i | \(-0.477480\pi\) |
0.899203 | + | 0.437532i | \(0.144147\pi\) | |||||||
\(942\) | 5.85048e8 | − | 1.45770e8i | 0.699905 | − | 0.174388i | ||||
\(943\) | −6.04632e8 | − | 3.49085e8i | −0.721035 | − | 0.416290i | ||||
\(944\) | 1.08787e9 | − | 5.26163e8i | 1.29319 | − | 0.625467i | ||||
\(945\) | 2.67183e7 | − | 6.48691e7i | 0.0316602 | − | 0.0768674i | ||||
\(946\) | 1.33612e9 | + | 1.06460e9i | 1.57824 | + | 1.25751i | ||||
\(947\) | −5.72400e8 | + | 9.91427e8i | −0.673985 | + | 1.16738i | 0.302780 | + | 0.953060i | \(0.402085\pi\) |
−0.976765 | + | 0.214315i | \(0.931248\pi\) | |||||||
\(948\) | −1.54085e8 | − | 7.04035e7i | −0.180857 | − | 0.0826360i | ||||
\(949\) | −3.30650e8 | + | 1.90901e8i | −0.386875 | + | 0.223362i | ||||
\(950\) | 3.36210e7 | − | 2.23704e8i | 0.0392139 | − | 0.260917i | ||||
\(951\) | −2.97753e8 | − | 7.17490e8i | −0.346190 | − | 0.834208i | ||||
\(952\) | −4.45873e7 | + | 3.04822e7i | −0.0516773 | + | 0.0353293i | ||||
\(953\) | −3.60885e8 | −0.416956 | −0.208478 | − | 0.978027i | \(-0.566851\pi\) | ||||
−0.208478 | + | 0.978027i | \(0.566851\pi\) | |||||||
\(954\) | −9.02691e8 | + | 6.68663e8i | −1.03967 | + | 0.770126i | ||||
\(955\) | 1.90463e9 | 2.18676 | ||||||||
\(956\) | 4.12868e7 | − | 1.34252e8i | 0.0472539 | − | 0.153656i | ||||
\(957\) | 1.16326e8 | + | 1.52360e7i | 0.132721 | + | 0.0173834i | ||||
\(958\) | −1.13846e9 | − | 1.71102e8i | −1.29485 | − | 0.194607i | ||||
\(959\) | −2.53411e7 | + | 1.46307e7i | −0.0287322 | + | 0.0165886i | ||||
\(960\) | −5.73751e8 | − | 9.45322e8i | −0.648500 | − | 1.06848i | ||||
\(961\) | 5.72925e8 | − | 9.92336e8i | 0.645547 | − | 1.11812i | ||||
\(962\) | −2.27454e8 | − | 1.81231e8i | −0.255486 | − | 0.203567i | ||||
\(963\) | 1.43125e8 | + | 5.31326e8i | 0.160264 | + | 0.594952i | ||||
\(964\) | 1.66779e8 | + | 7.27864e8i | 0.186170 | + | 0.812492i | ||||
\(965\) | −6.75669e8 | − | 3.90098e8i | −0.751886 | − | 0.434102i | ||||
\(966\) | −6.66036e7 | − | 1.91097e7i | −0.0738867 | − | 0.0211994i | ||||
\(967\) | −1.42337e9 | + | 8.21786e8i | −1.57413 | + | 0.908823i | −0.578473 | + | 0.815702i | \(0.696351\pi\) |
−0.995655 | + | 0.0931211i | \(0.970316\pi\) | |||||||
\(968\) | 4.80887e8 | − | 3.66521e7i | 0.530172 | − | 0.0404085i | ||||
\(969\) | −3.19001e8 | − | 2.44441e8i | −0.350607 | − | 0.268660i | ||||
\(970\) | −2.65690e7 | − | 6.76125e7i | −0.0291112 | − | 0.0740819i | ||||
\(971\) | −1.11625e9 | −1.21928 | −0.609638 | − | 0.792680i | \(-0.708685\pi\) | ||||
−0.609638 | + | 0.792680i | \(0.708685\pi\) | |||||||
\(972\) | 7.46733e8 | − | 5.34528e8i | 0.813142 | − | 0.582066i | ||||
\(973\) | − | 1.24237e7i | − | 0.0134869i | ||||||
\(974\) | 1.20976e8 | + | 3.07857e8i | 0.130924 | + | 0.333175i | ||||
\(975\) | 1.08072e8 | − | 1.41036e8i | 0.116600 | − | 0.152166i | ||||
\(976\) | 2.76076e8 | − | 4.06407e8i | 0.296948 | − | 0.437132i | ||||
\(977\) | 1.73356e8 | + | 3.00262e8i | 0.185890 | + | 0.321971i | 0.943876 | − | 0.330300i | \(-0.107150\pi\) |
−0.757986 | + | 0.652271i | \(0.773817\pi\) | |||||||
\(978\) | 8.68194e7 | + | 2.49100e7i | 0.0928112 | + | 0.0266291i | ||||
\(979\) | −8.00249e8 | + | 1.38607e9i | −0.852858 | + | 1.47719i | ||||
\(980\) | 1.14159e9 | − | 2.61578e8i | 1.21292 | − | 0.277922i | ||||
\(981\) | −1.66393e8 | + | 4.48218e7i | −0.176249 | + | 0.0474769i | ||||
\(982\) | 3.61613e7 | + | 2.88127e7i | 0.0381865 | + | 0.0304263i | ||||
\(983\) | 9.13956e8 | + | 5.27673e8i | 0.962198 | + | 0.555525i | 0.896849 | − | 0.442337i | \(-0.145850\pi\) |
0.0653494 | + | 0.997862i | \(0.479184\pi\) | |||||||
\(984\) | −5.74975e8 | − | 3.74870e8i | −0.603481 | − | 0.393455i | ||||
\(985\) | 9.18804e8 | + | 1.59141e9i | 0.961422 | + | 1.66523i | ||||
\(986\) | 9.64931e7 | + | 1.45022e7i | 0.100662 | + | 0.0151287i | ||||
\(987\) | 5.60449e6 | − | 4.27899e7i | 0.00582887 | − | 0.0445031i | ||||
\(988\) | 4.53668e7 | − | 1.47519e8i | 0.0470400 | − | 0.152960i | ||||
\(989\) | 1.82287e9i | 1.88438i | ||||||||
\(990\) | −1.20609e9 | + | 8.93400e8i | −1.24300 | + | 0.920748i | ||||
\(991\) | − | 4.13365e8i | − | 0.424729i | −0.977190 | − | 0.212365i | \(-0.931884\pi\) | ||
0.977190 | − | 0.212365i | \(-0.0681165\pi\) | |||||||
\(992\) | 1.08528e9 | + | 1.00273e9i | 1.11175 | + | 1.02718i | ||||
\(993\) | −1.63543e9 | + | 6.78689e8i | −1.67026 | + | 0.693144i | ||||
\(994\) | −1.41701e7 | + | 9.42835e7i | −0.0144283 | + | 0.0960011i | ||||
\(995\) | −1.17744e8 | − | 2.03938e8i | −0.119528 | − | 0.207028i | ||||
\(996\) | 2.49995e7 | − | 5.47139e7i | 0.0253019 | − | 0.0553758i | ||||
\(997\) | −1.36759e9 | − | 7.89576e8i | −1.37997 | − | 0.796725i | −0.387814 | − | 0.921738i | \(-0.626770\pi\) |
−0.992155 | + | 0.125012i | \(0.960103\pi\) | |||||||
\(998\) | −3.11478e8 | − | 2.48179e8i | −0.313354 | − | 0.249675i | ||||
\(999\) | −8.83160e8 | − | 3.63757e8i | −0.885814 | − | 0.364850i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 72.7.p.b.43.9 | ✓ | 136 | |
8.3 | odd | 2 | inner | 72.7.p.b.43.38 | yes | 136 | |
9.4 | even | 3 | inner | 72.7.p.b.67.38 | yes | 136 | |
72.67 | odd | 6 | inner | 72.7.p.b.67.9 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.7.p.b.43.9 | ✓ | 136 | 1.1 | even | 1 | trivial | |
72.7.p.b.43.38 | yes | 136 | 8.3 | odd | 2 | inner | |
72.7.p.b.67.9 | yes | 136 | 72.67 | odd | 6 | inner | |
72.7.p.b.67.38 | yes | 136 | 9.4 | even | 3 | inner |