Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [33,8,Mod(4,33)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(33, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("33.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 33 = 3 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 33.e (of order \(5\), degree \(4\), 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: | \(10.3087058410\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Character | \(\chi\) | \(=\) | 33.16 |
Dual form | 33.8.e.b.31.3 |
$q$-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 \(\left(\mathbb{Z}/33\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.99223 | − | 9.20914i | −0.264478 | − | 0.813980i | −0.991813 | − | 0.127698i | \(-0.959241\pi\) |
0.727335 | − | 0.686283i | \(-0.240759\pi\) | |||||||
\(3\) | −21.8435 | − | 15.8702i | −0.467086 | − | 0.339358i | ||||
\(4\) | 27.6994 | − | 20.1248i | 0.216402 | − | 0.157225i | ||||
\(5\) | −60.2993 | + | 185.582i | −0.215733 | + | 0.663959i | 0.783367 | + | 0.621559i | \(0.213500\pi\) |
−0.999101 | + | 0.0423999i | \(0.986500\pi\) | |||||||
\(6\) | −80.7902 | + | 248.647i | −0.152697 | + | 0.469952i | ||||
\(7\) | −765.654 | + | 556.280i | −0.843703 | + | 0.612986i | −0.923403 | − | 0.383833i | \(-0.874604\pi\) |
0.0796995 | + | 0.996819i | \(0.474604\pi\) | |||||||
\(8\) | −1270.94 | − | 923.389i | −0.877625 | − | 0.637632i | ||||
\(9\) | 225.273 | + | 693.320i | 0.103006 | + | 0.317019i | ||||
\(10\) | 1889.48 | 0.597506 | ||||||||
\(11\) | 3334.28 | + | 2893.05i | 0.755314 | + | 0.655363i | ||||
\(12\) | −924.437 | −0.154434 | ||||||||
\(13\) | 1590.49 | + | 4895.03i | 0.200784 | + | 0.617951i | 0.999860 | + | 0.0167204i | \(0.00532253\pi\) |
−0.799076 | + | 0.601230i | \(0.794677\pi\) | |||||||
\(14\) | 7413.88 | + | 5386.50i | 0.722100 | + | 0.524636i | ||||
\(15\) | 4262.37 | − | 3096.79i | 0.326086 | − | 0.236915i | ||||
\(16\) | −3346.41 | + | 10299.2i | −0.204249 | + | 0.628613i | ||||
\(17\) | 2416.81 | − | 7438.18i | 0.119309 | − | 0.367194i | −0.873513 | − | 0.486801i | \(-0.838164\pi\) |
0.992821 | + | 0.119607i | \(0.0381636\pi\) | |||||||
\(18\) | 5710.81 | − | 4149.15i | 0.230804 | − | 0.167689i | ||||
\(19\) | 43492.8 | + | 31599.4i | 1.45472 | + | 1.05692i | 0.984699 | + | 0.174263i | \(0.0557543\pi\) |
0.470023 | + | 0.882654i | \(0.344246\pi\) | |||||||
\(20\) | 2064.55 | + | 6354.03i | 0.0577059 | + | 0.177601i | ||||
\(21\) | 25552.8 | 0.602104 | ||||||||
\(22\) | 16665.6 | − | 39362.5i | 0.333688 | − | 0.788140i | ||||
\(23\) | −105008. | −1.79959 | −0.899795 | − | 0.436312i | \(-0.856284\pi\) | ||||
−0.899795 | + | 0.436312i | \(0.856284\pi\) | |||||||
\(24\) | 13107.3 | + | 40340.0i | 0.193541 | + | 0.595658i | ||||
\(25\) | 32399.7 | + | 23539.8i | 0.414717 | + | 0.301309i | ||||
\(26\) | 40319.9 | − | 29294.1i | 0.449897 | − | 0.326869i | ||||
\(27\) | 6082.38 | − | 18719.6i | 0.0594703 | − | 0.183031i | ||||
\(28\) | −10013.2 | + | 30817.3i | −0.0862021 | + | 0.265303i | ||||
\(29\) | −74398.1 | + | 54053.4i | −0.566460 | + | 0.411557i | −0.833817 | − | 0.552040i | \(-0.813849\pi\) |
0.267358 | + | 0.963597i | \(0.413849\pi\) | |||||||
\(30\) | −41272.8 | − | 29986.4i | −0.279087 | − | 0.202768i | ||||
\(31\) | 11436.9 | + | 35199.2i | 0.0689514 | + | 0.212210i | 0.979595 | − | 0.200983i | \(-0.0644135\pi\) |
−0.910643 | + | 0.413193i | \(0.864413\pi\) | |||||||
\(32\) | −96223.4 | −0.519106 | ||||||||
\(33\) | −26918.9 | − | 116110.i | −0.130394 | − | 0.562433i | ||||
\(34\) | −75730.9 | −0.330443 | ||||||||
\(35\) | −57067.3 | − | 175635.i | −0.224983 | − | 0.692426i | ||||
\(36\) | 20192.9 | + | 14671.0i | 0.0721340 | + | 0.0524084i | ||||
\(37\) | −426418. | + | 309811.i | −1.38398 | + | 1.00552i | −0.387485 | + | 0.921876i | \(0.626656\pi\) |
−0.996496 | + | 0.0836443i | \(0.973344\pi\) | |||||||
\(38\) | 160863. | − | 495084.i | 0.475568 | − | 1.46365i | ||||
\(39\) | 42943.3 | − | 132166.i | 0.115923 | − | 0.356774i | ||||
\(40\) | 248001. | − | 180183.i | 0.612694 | − | 0.445148i | ||||
\(41\) | −276352. | − | 200781.i | −0.626208 | − | 0.454967i | 0.228876 | − | 0.973455i | \(-0.426495\pi\) |
−0.855084 | + | 0.518489i | \(0.826495\pi\) | |||||||
\(42\) | −76459.9 | − | 235319.i | −0.159243 | − | 0.490101i | ||||
\(43\) | 137623. | 0.263968 | 0.131984 | − | 0.991252i | \(-0.457865\pi\) | ||||
0.131984 | + | 0.991252i | \(0.457865\pi\) | |||||||
\(44\) | 150580. | + | 13034.2i | 0.266491 | + | 0.0230674i | ||||
\(45\) | −142252. | −0.232709 | ||||||||
\(46\) | 314207. | + | 967030.i | 0.475952 | + | 1.46483i | ||||
\(47\) | −13964.8 | − | 10146.0i | −0.0196197 | − | 0.0142545i | 0.577932 | − | 0.816085i | \(-0.303860\pi\) |
−0.597552 | + | 0.801830i | \(0.703860\pi\) | |||||||
\(48\) | 236548. | − | 171862.i | 0.308727 | − | 0.224303i | ||||
\(49\) | 22289.9 | − | 68601.3i | 0.0270659 | − | 0.0833002i | ||||
\(50\) | 119834. | − | 368810.i | 0.135576 | − | 0.417261i | ||||
\(51\) | −170837. | + | 124120.i | −0.180338 | + | 0.131023i | ||||
\(52\) | 142567. | + | 103581.i | 0.140608 | + | 0.102157i | ||||
\(53\) | 385602. | + | 1.18676e6i | 0.355774 | + | 1.09496i | 0.955559 | + | 0.294799i | \(0.0952526\pi\) |
−0.599785 | + | 0.800161i | \(0.704747\pi\) | |||||||
\(54\) | −190592. | −0.164712 | ||||||||
\(55\) | −737953. | + | 444334.i | −0.598080 | + | 0.360114i | ||||
\(56\) | 1.48676e6 | 1.13131 | ||||||||
\(57\) | −448545. | − | 1.38048e6i | −0.320807 | − | 0.987343i | ||||
\(58\) | 720401. | + | 523402.i | 0.484816 | + | 0.352239i | ||||
\(59\) | −216226. | + | 157098.i | −0.137065 | + | 0.0995836i | −0.654205 | − | 0.756317i | \(-0.726997\pi\) |
0.517140 | + | 0.855901i | \(0.326997\pi\) | |||||||
\(60\) | 55742.9 | − | 171559.i | 0.0333165 | − | 0.102538i | ||||
\(61\) | −656652. | + | 2.02097e6i | −0.370408 | + | 1.14000i | 0.576116 | + | 0.817368i | \(0.304568\pi\) |
−0.946525 | + | 0.322632i | \(0.895432\pi\) | |||||||
\(62\) | 289932. | − | 210648.i | 0.154499 | − | 0.112250i | ||||
\(63\) | −558162. | − | 405528.i | −0.281234 | − | 0.204329i | ||||
\(64\) | 716263. | + | 2.20443e6i | 0.341541 | + | 1.05116i | ||||
\(65\) | −1.00434e6 | −0.453610 | ||||||||
\(66\) | −988725. | + | 595327.i | −0.423323 | + | 0.254889i | ||||
\(67\) | −648851. | −0.263562 | −0.131781 | − | 0.991279i | \(-0.542070\pi\) | ||||
−0.131781 | + | 0.991279i | \(0.542070\pi\) | |||||||
\(68\) | −82747.7 | − | 254671.i | −0.0319135 | − | 0.0982198i | ||||
\(69\) | 2.29373e6 | + | 1.66649e6i | 0.840564 | + | 0.610705i | ||||
\(70\) | −1.44669e6 | + | 1.05108e6i | −0.504118 | + | 0.366263i | ||||
\(71\) | 1.32284e6 | − | 4.07129e6i | 0.438636 | − | 1.34998i | −0.450679 | − | 0.892686i | \(-0.648818\pi\) |
0.889315 | − | 0.457296i | \(-0.151182\pi\) | |||||||
\(72\) | 353896. | − | 1.08918e6i | 0.111741 | − | 0.343903i | ||||
\(73\) | 3.51360e6 | − | 2.55278e6i | 1.05711 | − | 0.768039i | 0.0835622 | − | 0.996503i | \(-0.473370\pi\) |
0.973552 | + | 0.228464i | \(0.0733703\pi\) | |||||||
\(74\) | 4.12903e6 | + | 2.99992e6i | 1.18451 | + | 0.860594i | ||||
\(75\) | −334141. | − | 1.02838e6i | −0.0914567 | − | 0.281475i | ||||
\(76\) | 1.84066e6 | 0.480979 | ||||||||
\(77\) | −4.16225e6 | − | 360284.i | −1.03899 | − | 0.0899347i | ||||
\(78\) | −1.34563e6 | −0.321066 | ||||||||
\(79\) | −1.57582e6 | − | 4.84988e6i | −0.359594 | − | 1.10672i | −0.953298 | − | 0.302032i | \(-0.902335\pi\) |
0.593704 | − | 0.804683i | \(-0.297665\pi\) | |||||||
\(80\) | −1.70956e6 | − | 1.24207e6i | −0.373310 | − | 0.271226i | ||||
\(81\) | −429945. | + | 312373.i | −0.0898908 | + | 0.0653095i | ||||
\(82\) | −1.02211e6 | + | 3.14574e6i | −0.204716 | + | 0.630050i | ||||
\(83\) | 473739. | − | 1.45802e6i | 0.0909423 | − | 0.279892i | −0.895233 | − | 0.445599i | \(-0.852991\pi\) |
0.986175 | + | 0.165707i | \(0.0529907\pi\) | |||||||
\(84\) | 707799. | − | 514246.i | 0.130296 | − | 0.0946659i | ||||
\(85\) | 1.23466e6 | + | 897034.i | 0.218063 | + | 0.158432i | ||||
\(86\) | −411800. | − | 1.26739e6i | −0.0698139 | − | 0.214865i | ||||
\(87\) | 2.48295e6 | 0.404251 | ||||||||
\(88\) | −1.56624e6 | − | 6.75572e6i | −0.245002 | − | 1.05677i | ||||
\(89\) | −9.14985e6 | −1.37578 | −0.687890 | − | 0.725815i | \(-0.741463\pi\) | ||||
−0.687890 | + | 0.725815i | \(0.741463\pi\) | |||||||
\(90\) | 425650. | + | 1.31001e6i | 0.0615465 | + | 0.189421i | ||||
\(91\) | −3.94078e6 | − | 2.86314e6i | −0.548198 | − | 0.398289i | ||||
\(92\) | −2.90865e6 | + | 2.11326e6i | −0.389435 | + | 0.282941i | ||||
\(93\) | 308797. | − | 950378.i | 0.0398091 | − | 0.122520i | ||||
\(94\) | −51650.2 | + | 158963.i | −0.00641393 | + | 0.0197400i | ||||
\(95\) | −8.48687e6 | + | 6.16607e6i | −1.01558 | + | 0.737863i | ||||
\(96\) | 2.10185e6 | + | 1.52709e6i | 0.242467 | + | 0.176163i | ||||
\(97\) | −1.01983e6 | − | 3.13870e6i | −0.113455 | − | 0.349179i | 0.878166 | − | 0.478355i | \(-0.158767\pi\) |
−0.991622 | + | 0.129176i | \(0.958767\pi\) | |||||||
\(98\) | −698455. | −0.0749630 | ||||||||
\(99\) | −1.25469e6 | + | 2.96345e6i | −0.129961 | + | 0.306955i | ||||
\(100\) | 1.37119e6 | 0.137119 | ||||||||
\(101\) | −1.56926e6 | − | 4.82968e6i | −0.151555 | − | 0.466438i | 0.846241 | − | 0.532801i | \(-0.178861\pi\) |
−0.997796 | + | 0.0663628i | \(0.978861\pi\) | |||||||
\(102\) | 1.65422e6 | + | 1.20186e6i | 0.154345 | + | 0.112139i | ||||
\(103\) | −1.01428e7 | + | 7.36916e6i | −0.914590 | + | 0.664489i | −0.942172 | − | 0.335131i | \(-0.891220\pi\) |
0.0275812 | + | 0.999620i | \(0.491220\pi\) | |||||||
\(104\) | 2.49861e6 | − | 7.68992e6i | 0.217812 | − | 0.670355i | ||||
\(105\) | −1.54082e6 | + | 4.74215e6i | −0.129894 | + | 0.399772i | ||||
\(106\) | 9.77524e6 | − | 7.10213e6i | 0.797181 | − | 0.579186i | ||||
\(107\) | 1.69660e7 | + | 1.23265e7i | 1.33886 | + | 0.972740i | 0.999485 | + | 0.0320888i | \(0.0102159\pi\) |
0.339376 | + | 0.940651i | \(0.389784\pi\) | |||||||
\(108\) | −208251. | − | 640931.i | −0.0159076 | − | 0.0489585i | ||||
\(109\) | 7.90843e6 | 0.584922 | 0.292461 | − | 0.956277i | \(-0.405526\pi\) | ||||
0.292461 | + | 0.956277i | \(0.405526\pi\) | |||||||
\(110\) | 6.30005e6 | + | 5.46637e6i | 0.451305 | + | 0.391583i | ||||
\(111\) | 1.42312e7 | 0.987669 | ||||||||
\(112\) | −3.16705e6 | − | 9.74717e6i | −0.213006 | − | 0.655565i | ||||
\(113\) | 1.08150e7 | + | 7.85759e6i | 0.705105 | + | 0.512289i | 0.881591 | − | 0.472015i | \(-0.156473\pi\) |
−0.176486 | + | 0.984303i | \(0.556473\pi\) | |||||||
\(114\) | −1.13709e7 | + | 8.26142e6i | −0.718831 | + | 0.522261i | ||||
\(115\) | 6.33189e6 | − | 1.94875e7i | 0.388232 | − | 1.19485i | ||||
\(116\) | −972971. | + | 2.99450e6i | −0.0578758 | + | 0.178123i | ||||
\(117\) | −3.03553e6 | + | 2.20544e6i | −0.175220 | + | 0.127305i | ||||
\(118\) | 2.09373e6 | + | 1.52119e6i | 0.117310 | + | 0.0852305i | ||||
\(119\) | 2.28727e6 | + | 7.03950e6i | 0.124424 | + | 0.382937i | ||||
\(120\) | −8.27675e6 | −0.437246 | ||||||||
\(121\) | 2.74766e6 | + | 1.92925e7i | 0.140999 | + | 0.990010i | ||||
\(122\) | 2.05762e7 | 1.02590 | ||||||||
\(123\) | 2.85004e6 | + | 8.77151e6i | 0.138097 | + | 0.425017i | ||||
\(124\) | 1.02517e6 | + | 744832.i | 0.0482860 | + | 0.0350819i | ||||
\(125\) | −1.86555e7 | + | 1.35540e7i | −0.854322 | + | 0.620701i | ||||
\(126\) | −2.06442e6 | + | 6.35362e6i | −0.0919392 | + | 0.282960i | ||||
\(127\) | 1.15717e7 | − | 3.56142e7i | 0.501286 | − | 1.54280i | −0.305640 | − | 0.952147i | \(-0.598870\pi\) |
0.806926 | − | 0.590653i | \(-0.201130\pi\) | |||||||
\(128\) | 8.19335e6 | − | 5.95282e6i | 0.345324 | − | 0.250892i | ||||
\(129\) | −3.00617e6 | − | 2.18411e6i | −0.123296 | − | 0.0895798i | ||||
\(130\) | 3.00520e6 | + | 9.24907e6i | 0.119970 | + | 0.369229i | ||||
\(131\) | 1.64849e7 | 0.640674 | 0.320337 | − | 0.947304i | \(-0.396204\pi\) | ||||
0.320337 | + | 0.947304i | \(0.396204\pi\) | |||||||
\(132\) | −3.08233e6 | − | 2.67444e6i | −0.116646 | − | 0.101210i | ||||
\(133\) | −5.08786e7 | −1.87523 | ||||||||
\(134\) | 1.94151e6 | + | 5.97536e6i | 0.0697065 | + | 0.214535i | ||||
\(135\) | 3.10727e6 | + | 2.25756e6i | 0.108695 | + | 0.0789717i | ||||
\(136\) | −9.93995e6 | + | 7.22180e6i | −0.338843 | + | 0.246184i | ||||
\(137\) | −1.49745e6 | + | 4.60869e6i | −0.0497544 | + | 0.153128i | −0.972847 | − | 0.231450i | \(-0.925653\pi\) |
0.923092 | + | 0.384578i | \(0.125653\pi\) | |||||||
\(138\) | 8.48359e6 | − | 2.61098e7i | 0.274791 | − | 0.845721i | ||||
\(139\) | 1.61002e7 | − | 1.16975e7i | 0.508486 | − | 0.369436i | −0.303763 | − | 0.952748i | \(-0.598243\pi\) |
0.812249 | + | 0.583311i | \(0.198243\pi\) | |||||||
\(140\) | −5.11536e6 | − | 3.71652e6i | −0.157553 | − | 0.114469i | ||||
\(141\) | 144020. | + | 443248.i | 0.00432669 | + | 0.0133162i | ||||
\(142\) | −4.14513e7 | −1.21487 | ||||||||
\(143\) | −8.85844e6 | + | 2.09228e7i | −0.253327 | + | 0.598333i | ||||
\(144\) | −7.89450e6 | −0.220321 | ||||||||
\(145\) | −5.54519e6 | − | 1.70663e7i | −0.151053 | − | 0.464892i | ||||
\(146\) | −3.40224e7 | − | 2.47187e7i | −0.904752 | − | 0.657341i | ||||
\(147\) | −1.57560e6 | + | 1.14474e6i | −0.0409107 | + | 0.0297233i | ||||
\(148\) | −5.57666e6 | + | 1.71632e7i | −0.141403 | + | 0.435193i | ||||
\(149\) | 1.49272e6 | − | 4.59411e6i | 0.0369680 | − | 0.113776i | −0.930870 | − | 0.365352i | \(-0.880949\pi\) |
0.967838 | + | 0.251576i | \(0.0809488\pi\) | |||||||
\(150\) | −8.47067e6 | + | 6.15430e6i | −0.204927 | + | 0.148888i | ||||
\(151\) | 4.99202e7 | + | 3.62691e7i | 1.17993 | + | 0.857271i | 0.992164 | − | 0.124943i | \(-0.0398747\pi\) |
0.187768 | + | 0.982213i | \(0.439875\pi\) | |||||||
\(152\) | −2.60981e7 | − | 8.03216e7i | −0.602776 | − | 1.85515i | ||||
\(153\) | 5.70148e6 | 0.128697 | ||||||||
\(154\) | 9.13652e6 | + | 3.94088e7i | 0.201585 | + | 0.869503i | ||||
\(155\) | −7.22198e6 | −0.155774 | ||||||||
\(156\) | −1.47031e6 | − | 4.52515e6i | −0.0310079 | − | 0.0954326i | ||||
\(157\) | 7.60562e6 | + | 5.52581e6i | 0.156851 | + | 0.113959i | 0.663442 | − | 0.748227i | \(-0.269095\pi\) |
−0.506592 | + | 0.862186i | \(0.669095\pi\) | |||||||
\(158\) | −3.99480e7 | + | 2.90239e7i | −0.805740 | + | 0.585404i | ||||
\(159\) | 1.04113e7 | − | 3.20426e7i | 0.205406 | − | 0.632175i | ||||
\(160\) | 5.80220e6 | − | 1.78573e7i | 0.111988 | − | 0.344665i | ||||
\(161\) | 8.03996e7 | − | 5.84137e7i | 1.51832 | − | 1.10312i | ||||
\(162\) | 4.16318e6 | + | 3.02473e6i | 0.0769348 | + | 0.0558964i | ||||
\(163\) | −1.76875e7 | − | 5.44367e7i | −0.319898 | − | 0.984544i | −0.973691 | − | 0.227871i | \(-0.926824\pi\) |
0.653794 | − | 0.756673i | \(-0.273176\pi\) | |||||||
\(164\) | −1.16955e7 | −0.207045 | ||||||||
\(165\) | 2.31711e7 | + | 2.00569e6i | 0.401563 | + | 0.0347592i | ||||
\(166\) | −1.48446e7 | −0.251878 | ||||||||
\(167\) | 1.17755e7 | + | 3.62413e7i | 0.195647 | + | 0.602139i | 0.999968 | + | 0.00794472i | \(0.00252891\pi\) |
−0.804322 | + | 0.594194i | \(0.797471\pi\) | |||||||
\(168\) | −3.24760e7 | − | 2.35952e7i | −0.528421 | − | 0.383920i | ||||
\(169\) | 2.93329e7 | − | 2.13116e7i | 0.467468 | − | 0.339636i | ||||
\(170\) | 4.56652e6 | − | 1.40543e7i | 0.0712876 | − | 0.219401i | ||||
\(171\) | −1.21107e7 | + | 3.72730e7i | −0.185218 | + | 0.570043i | ||||
\(172\) | 3.81209e6 | − | 2.76964e6i | 0.0571233 | − | 0.0415025i | ||||
\(173\) | −1.42751e7 | − | 1.03714e7i | −0.209612 | − | 0.152292i | 0.478026 | − | 0.878346i | \(-0.341353\pi\) |
−0.687638 | + | 0.726053i | \(0.741353\pi\) | |||||||
\(174\) | −7.42956e6 | − | 2.28658e7i | −0.106915 | − | 0.329052i | ||||
\(175\) | −3.79017e7 | −0.534596 | ||||||||
\(176\) | −4.09540e7 | + | 2.46591e7i | −0.566242 | + | 0.340943i | ||||
\(177\) | 7.21630e6 | 0.0978157 | ||||||||
\(178\) | 2.73785e7 | + | 8.42622e7i | 0.363864 | + | 1.11986i | ||||
\(179\) | 3.00392e7 | + | 2.18248e7i | 0.391474 | + | 0.284423i | 0.766059 | − | 0.642770i | \(-0.222215\pi\) |
−0.374585 | + | 0.927193i | \(0.622215\pi\) | |||||||
\(180\) | −3.94029e6 | + | 2.86279e6i | −0.0503587 | + | 0.0365877i | ||||
\(181\) | −2.94301e7 | + | 9.05767e7i | −0.368907 | + | 1.13538i | 0.578591 | + | 0.815618i | \(0.303603\pi\) |
−0.947498 | + | 0.319762i | \(0.896397\pi\) | |||||||
\(182\) | −1.45754e7 | + | 4.48583e7i | −0.179213 | + | 0.551561i | ||||
\(183\) | 4.64167e7 | − | 3.37237e7i | 0.559880 | − | 0.406777i | ||||
\(184\) | 1.33458e8 | + | 9.69630e7i | 1.57937 | + | 1.14748i | ||||
\(185\) | −3.17827e7 | − | 9.78170e7i | −0.369054 | − | 1.13583i | ||||
\(186\) | −9.67615e6 | −0.110257 | ||||||||
\(187\) | 2.95774e7 | − | 1.78090e7i | 0.330761 | − | 0.199156i | ||||
\(188\) | −591004. | −0.00648691 | ||||||||
\(189\) | 5.75637e6 | + | 1.77163e7i | 0.0620201 | + | 0.190878i | ||||
\(190\) | 8.21788e7 | + | 5.97064e7i | 0.869205 | + | 0.631515i | ||||
\(191\) | 3.58902e7 | − | 2.60757e7i | 0.372699 | − | 0.270782i | −0.385630 | − | 0.922653i | \(-0.626016\pi\) |
0.758329 | + | 0.651872i | \(0.226016\pi\) | |||||||
\(192\) | 1.93391e7 | − | 5.95197e7i | 0.197189 | − | 0.606885i | ||||
\(193\) | −2.82485e7 | + | 8.69401e7i | −0.282843 | + | 0.870501i | 0.704194 | + | 0.710008i | \(0.251309\pi\) |
−0.987037 | + | 0.160494i | \(0.948691\pi\) | |||||||
\(194\) | −2.58532e7 | + | 1.87834e7i | −0.254219 | + | 0.184701i | ||||
\(195\) | 2.19382e7 | + | 1.59390e7i | 0.211875 | + | 0.153936i | ||||
\(196\) | −763170. | − | 2.34880e6i | −0.00723978 | − | 0.0222817i | ||||
\(197\) | −1.07289e8 | −0.999826 | −0.499913 | − | 0.866075i | \(-0.666635\pi\) | ||||
−0.499913 | + | 0.866075i | \(0.666635\pi\) | |||||||
\(198\) | 3.10451e7 | + | 2.68726e6i | 0.284227 | + | 0.0246026i | ||||
\(199\) | −1.03701e8 | −0.932815 | −0.466408 | − | 0.884570i | \(-0.654452\pi\) | ||||
−0.466408 | + | 0.884570i | \(0.654452\pi\) | |||||||
\(200\) | −1.94416e7 | − | 5.98351e7i | −0.171841 | − | 0.528873i | ||||
\(201\) | 1.41732e7 | + | 1.02974e7i | 0.123106 | + | 0.0894420i | ||||
\(202\) | −3.97816e7 | + | 2.89030e7i | −0.339588 | + | 0.246725i | ||||
\(203\) | 2.68944e7 | − | 8.27725e7i | 0.225645 | − | 0.694464i | ||||
\(204\) | −2.23419e6 | + | 6.87613e6i | −0.0184253 | + | 0.0567072i | ||||
\(205\) | 5.39252e7 | − | 3.91790e7i | 0.437173 | − | 0.317625i | ||||
\(206\) | 9.82131e7 | + | 7.13560e7i | 0.782770 | + | 0.568716i | ||||
\(207\) | −2.36554e7 | − | 7.28040e7i | −0.185368 | − | 0.570504i | ||||
\(208\) | −5.57373e7 | −0.429462 | ||||||||
\(209\) | 5.35985e7 | + | 2.31188e8i | 0.406107 | + | 1.75168i | ||||
\(210\) | 4.82816e7 | 0.359761 | ||||||||
\(211\) | 4.46928e7 | + | 1.37550e8i | 0.327529 | + | 1.00803i | 0.970286 | + | 0.241960i | \(0.0777902\pi\) |
−0.642758 | + | 0.766070i | \(0.722210\pi\) | |||||||
\(212\) | 3.45643e7 | + | 2.51125e7i | 0.249145 | + | 0.181015i | ||||
\(213\) | −9.35077e7 | + | 6.79373e7i | −0.663008 | + | 0.481703i | ||||
\(214\) | 6.27503e7 | − | 1.93126e8i | 0.437691 | − | 1.34707i | ||||
\(215\) | −8.29858e6 | + | 2.55404e7i | −0.0569468 | + | 0.175264i | ||||
\(216\) | −2.50158e7 | + | 1.81751e7i | −0.168899 | + | 0.122712i | ||||
\(217\) | −2.83374e7 | − | 2.05883e7i | −0.188257 | − | 0.136776i | ||||
\(218\) | −2.36639e7 | − | 7.28298e7i | −0.154699 | − | 0.476115i | ||||
\(219\) | −1.17262e8 | −0.754404 | ||||||||
\(220\) | −1.14988e7 | + | 2.71590e7i | −0.0728068 | + | 0.171963i | ||||
\(221\) | 4.02541e7 | 0.250863 | ||||||||
\(222\) | −4.25831e7 | − | 1.31057e8i | −0.261217 | − | 0.803943i | ||||
\(223\) | −2.31073e8 | − | 1.67884e8i | −1.39535 | − | 1.01378i | −0.995255 | − | 0.0973042i | \(-0.968978\pi\) |
−0.400092 | − | 0.916475i | \(-0.631022\pi\) | |||||||
\(224\) | 7.36739e7 | − | 5.35272e7i | 0.437971 | − | 0.318205i | ||||
\(225\) | −9.02181e6 | + | 2.77663e7i | −0.0528026 | + | 0.162510i | ||||
\(226\) | 4.00005e7 | − | 1.23109e8i | 0.230508 | − | 0.709431i | ||||
\(227\) | 2.27204e8 | − | 1.65073e8i | 1.28921 | − | 0.936668i | 0.289424 | − | 0.957201i | \(-0.406536\pi\) |
0.999789 | + | 0.0205333i | \(0.00653640\pi\) | |||||||
\(228\) | −4.02064e7 | − | 2.92116e7i | −0.224658 | − | 0.163224i | ||||
\(229\) | −7.61633e7 | − | 2.34406e8i | −0.419104 | − | 1.28987i | −0.908528 | − | 0.417823i | \(-0.862793\pi\) |
0.489425 | − | 0.872045i | \(-0.337207\pi\) | |||||||
\(230\) | −1.98410e8 | −1.07527 | ||||||||
\(231\) | 8.52002e7 | + | 7.39257e7i | 0.454777 | + | 0.394597i | ||||
\(232\) | 1.44468e8 | 0.759561 | ||||||||
\(233\) | 8.05573e6 | + | 2.47930e7i | 0.0417214 | + | 0.128405i | 0.969748 | − | 0.244109i | \(-0.0784956\pi\) |
−0.928026 | + | 0.372515i | \(0.878496\pi\) | |||||||
\(234\) | 2.93932e7 | + | 2.13554e7i | 0.149966 | + | 0.108956i | ||||
\(235\) | 2.72499e6 | − | 1.97982e6i | 0.0136970 | − | 0.00995148i | ||||
\(236\) | −2.82779e6 | + | 8.70304e6i | −0.0140041 | + | 0.0431001i | ||||
\(237\) | −4.25472e7 | + | 1.30947e8i | −0.207611 | + | 0.638962i | ||||
\(238\) | 5.79837e7 | − | 4.21276e7i | 0.278796 | − | 0.202557i | ||||
\(239\) | −7.34464e7 | − | 5.33619e7i | −0.347999 | − | 0.252836i | 0.400030 | − | 0.916502i | \(-0.369000\pi\) |
−0.748029 | + | 0.663666i | \(0.769000\pi\) | |||||||
\(240\) | 1.76308e7 | + | 5.42621e7i | 0.0823254 | + | 0.253371i | ||||
\(241\) | −3.24333e8 | −1.49256 | −0.746279 | − | 0.665634i | \(-0.768161\pi\) | ||||
−0.746279 | + | 0.665634i | \(0.768161\pi\) | |||||||
\(242\) | 1.69446e8 | − | 8.30312e7i | 0.768557 | − | 0.376606i | ||||
\(243\) | 1.43489e7 | 0.0641500 | ||||||||
\(244\) | 2.24827e7 | + | 6.91946e7i | 0.0990796 | + | 0.304936i | ||||
\(245\) | 1.13871e7 | + | 8.27321e6i | 0.0494689 | + | 0.0359412i | ||||
\(246\) | 7.22501e7 | − | 5.24928e7i | 0.309432 | − | 0.224816i | ||||
\(247\) | −8.55050e7 | + | 2.63157e8i | −0.361037 | + | 1.11116i | ||||
\(248\) | 1.79670e7 | − | 5.52967e7i | 0.0747987 | − | 0.230207i | ||||
\(249\) | −3.34872e7 | + | 2.43298e7i | −0.137461 | + | 0.0998715i | ||||
\(250\) | 1.80642e8 | + | 1.31244e8i | 0.731188 | + | 0.531239i | ||||
\(251\) | 8.27567e7 | + | 2.54699e8i | 0.330328 | + | 1.01664i | 0.968978 | + | 0.247147i | \(0.0794931\pi\) |
−0.638650 | + | 0.769497i | \(0.720507\pi\) | |||||||
\(252\) | −2.36220e7 | −0.0929853 | ||||||||
\(253\) | −3.50125e8 | − | 3.03793e8i | −1.35926 | − | 1.17939i | ||||
\(254\) | −3.62601e8 | −1.38839 | ||||||||
\(255\) | −1.27332e7 | − | 3.91886e7i | −0.0480890 | − | 0.148003i | ||||
\(256\) | 1.60689e8 | + | 1.16747e8i | 0.598614 | + | 0.434918i | ||||
\(257\) | −3.08314e8 | + | 2.24003e8i | −1.13299 | + | 0.823167i | −0.986127 | − | 0.165990i | \(-0.946918\pi\) |
−0.146864 | + | 0.989157i | \(0.546918\pi\) | |||||||
\(258\) | −1.11186e7 | + | 3.42195e7i | −0.0403071 | + | 0.124052i | ||||
\(259\) | 1.54147e8 | − | 4.74416e8i | 0.551298 | − | 1.69672i | ||||
\(260\) | −2.78195e7 | + | 2.02121e7i | −0.0981620 | + | 0.0713189i | ||||
\(261\) | −5.42362e7 | − | 3.94049e7i | −0.188820 | − | 0.137186i | ||||
\(262\) | −4.93267e7 | − | 1.51812e8i | −0.169444 | − | 0.521496i | ||||
\(263\) | 1.10991e8 | 0.376221 | 0.188111 | − | 0.982148i | \(-0.439764\pi\) | ||||
0.188111 | + | 0.982148i | \(0.439764\pi\) | |||||||
\(264\) | −7.30025e7 | + | 1.72425e8i | −0.244188 | + | 0.576748i | ||||
\(265\) | −2.43493e8 | −0.803760 | ||||||||
\(266\) | 1.52240e8 | + | 4.68548e8i | 0.495957 | + | 1.52640i | ||||
\(267\) | 1.99864e8 | + | 1.45210e8i | 0.642608 | + | 0.466882i | ||||
\(268\) | −1.79728e7 | + | 1.30580e7i | −0.0570354 | + | 0.0414386i | ||||
\(269\) | 1.03737e8 | − | 3.19269e8i | 0.324937 | − | 1.00005i | −0.646532 | − | 0.762887i | \(-0.723781\pi\) |
0.971469 | − | 0.237167i | \(-0.0762187\pi\) | |||||||
\(270\) | 1.14925e7 | − | 3.53704e7i | 0.0355339 | − | 0.109362i | ||||
\(271\) | 4.67769e8 | − | 3.39854e8i | 1.42771 | − | 1.03729i | 0.437267 | − | 0.899332i | \(-0.355947\pi\) |
0.990438 | − | 0.137957i | \(-0.0440535\pi\) | |||||||
\(272\) | 6.85197e7 | + | 4.97824e7i | 0.206454 | + | 0.149998i | ||||
\(273\) | 4.06416e7 | + | 1.25082e8i | 0.120893 | + | 0.372070i | ||||
\(274\) | 4.69227e7 | 0.137802 | ||||||||
\(275\) | 3.99279e7 | + | 1.72222e8i | 0.115774 | + | 0.499373i | ||||
\(276\) | 9.70730e7 | 0.277918 | ||||||||
\(277\) | −5.28154e7 | − | 1.62549e8i | −0.149307 | − | 0.459521i | 0.848232 | − | 0.529624i | \(-0.177667\pi\) |
−0.997540 | + | 0.0701033i | \(0.977667\pi\) | |||||||
\(278\) | −1.55899e8 | − | 1.13267e8i | −0.435197 | − | 0.316189i | ||||
\(279\) | −2.18279e7 | + | 1.58589e7i | −0.0601723 | + | 0.0437178i | ||||
\(280\) | −8.96507e7 | + | 2.75916e8i | −0.244062 | + | 0.751146i | ||||
\(281\) | −1.20768e8 | + | 3.71685e8i | −0.324698 | + | 0.999317i | 0.646879 | + | 0.762593i | \(0.276074\pi\) |
−0.971577 | + | 0.236724i | \(0.923926\pi\) | |||||||
\(282\) | 3.65099e6 | − | 2.65260e6i | 0.00969480 | − | 0.00704368i | ||||
\(283\) | 3.75698e8 | + | 2.72960e8i | 0.985339 | + | 0.715891i | 0.958896 | − | 0.283759i | \(-0.0915817\pi\) |
0.0264439 | + | 0.999650i | \(0.491582\pi\) | |||||||
\(284\) | −4.52920e7 | − | 1.39394e8i | −0.117330 | − | 0.361103i | ||||
\(285\) | 2.83239e8 | 0.724764 | ||||||||
\(286\) | 2.19187e8 | + | 1.89728e7i | 0.554031 | + | 0.0479568i | ||||
\(287\) | 3.23281e8 | 0.807222 | ||||||||
\(288\) | −2.16766e7 | − | 6.67136e7i | −0.0534708 | − | 0.164566i | ||||
\(289\) | 2.82485e8 | + | 2.05238e8i | 0.688420 | + | 0.500167i | ||||
\(290\) | −1.40574e8 | + | 1.02133e8i | −0.338463 | + | 0.245908i | ||||
\(291\) | −2.75353e7 | + | 8.47449e7i | −0.0655034 | + | 0.201599i | ||||
\(292\) | 4.59505e7 | − | 1.41421e8i | 0.108007 | − | 0.332410i | ||||
\(293\) | −4.62544e8 | + | 3.36058e8i | −1.07428 | + | 0.780508i | −0.976676 | − | 0.214717i | \(-0.931117\pi\) |
−0.0976012 | + | 0.995226i | \(0.531117\pi\) | |||||||
\(294\) | 1.52567e7 | + | 1.10846e7i | 0.0350142 | + | 0.0254393i | ||||
\(295\) | −1.61162e7 | − | 4.96006e7i | −0.0365499 | − | 0.112489i | ||||
\(296\) | 8.28027e8 | 1.85577 | ||||||||
\(297\) | 7.44373e7 | − | 4.48199e7i | 0.164870 | − | 0.0992712i | ||||
\(298\) | −4.67744e7 | −0.102388 | ||||||||
\(299\) | −1.67014e8 | − | 5.14016e8i | −0.361330 | − | 1.11206i | ||||
\(300\) | −2.99515e7 | − | 2.17610e7i | −0.0640463 | − | 0.0465324i | ||||
\(301\) | −1.05372e8 | + | 7.65571e7i | −0.222711 | + | 0.161809i | ||||
\(302\) | 1.84635e8 | − | 5.68247e8i | 0.385735 | − | 1.18717i | ||||
\(303\) | −4.23700e7 | + | 1.30401e8i | −0.0875003 | + | 0.269298i | ||||
\(304\) | −4.70993e8 | + | 3.42197e8i | −0.961517 | + | 0.698583i | ||||
\(305\) | −3.35460e8 | − | 2.43726e8i | −0.677003 | − | 0.491872i | ||||
\(306\) | −1.70601e7 | − | 5.25057e7i | −0.0340375 | − | 0.104757i | ||||
\(307\) | 5.55579e8 | 1.09588 | 0.547938 | − | 0.836519i | \(-0.315413\pi\) | ||||
0.547938 | + | 0.836519i | \(0.315413\pi\) | |||||||
\(308\) | −1.22543e8 | + | 7.37850e7i | −0.238979 | + | 0.143893i | ||||
\(309\) | 3.38503e8 | 0.652692 | ||||||||
\(310\) | 2.16098e7 | + | 6.65082e7i | 0.0411989 | + | 0.126797i | ||||
\(311\) | 6.23535e7 | + | 4.53025e7i | 0.117544 | + | 0.0854006i | 0.645004 | − | 0.764179i | \(-0.276856\pi\) |
−0.527460 | + | 0.849580i | \(0.676856\pi\) | |||||||
\(312\) | −1.76619e8 | + | 1.28321e8i | −0.329227 | + | 0.239198i | ||||
\(313\) | −8.39828e7 | + | 2.58472e8i | −0.154805 | + | 0.476441i | −0.998141 | − | 0.0609457i | \(-0.980588\pi\) |
0.843336 | + | 0.537387i | \(0.180588\pi\) | |||||||
\(314\) | 2.81302e7 | − | 8.65757e7i | 0.0512765 | − | 0.157813i | ||||
\(315\) | 1.08916e8 | − | 7.91318e7i | 0.196337 | − | 0.142648i | ||||
\(316\) | −1.41252e8 | − | 1.02626e8i | −0.251820 | − | 0.182958i | ||||
\(317\) | 2.56475e7 | + | 7.89348e7i | 0.0452207 | + | 0.139175i | 0.971118 | − | 0.238601i | \(-0.0766889\pi\) |
−0.925897 | + | 0.377776i | \(0.876689\pi\) | |||||||
\(318\) | −3.26237e8 | −0.568904 | ||||||||
\(319\) | −4.04443e8 | − | 3.50086e7i | −0.697574 | − | 0.0603819i | ||||
\(320\) | −4.52293e8 | −0.771605 | ||||||||
\(321\) | −1.74971e8 | − | 5.38507e8i | −0.295257 | − | 0.908706i | ||||
\(322\) | −7.78514e8 | − | 5.65623e8i | −1.29948 | − | 0.944130i | ||||
\(323\) | 3.40156e8 | − | 2.47138e8i | 0.561654 | − | 0.408066i | ||||
\(324\) | −5.62278e6 | + | 1.73051e7i | −0.00918424 | + | 0.0282662i | ||||
\(325\) | −6.36965e7 | + | 1.96038e8i | −0.102926 | + | 0.316773i | ||||
\(326\) | −4.48389e8 | + | 3.25774e8i | −0.716793 | + | 0.520781i | ||||
\(327\) | −1.72748e8 | − | 1.25508e8i | −0.273209 | − | 0.198498i | ||||
\(328\) | 1.65826e8 | + | 5.10360e8i | 0.259474 | + | 0.798580i | ||||
\(329\) | 1.63362e7 | 0.0252910 | ||||||||
\(330\) | −5.08627e7 | − | 2.19387e8i | −0.0779113 | − | 0.336057i | ||||
\(331\) | −3.80917e8 | −0.577341 | −0.288671 | − | 0.957428i | \(-0.593213\pi\) | ||||
−0.288671 | + | 0.957428i | \(0.593213\pi\) | |||||||
\(332\) | −1.62201e7 | − | 4.99202e7i | −0.0243259 | − | 0.0748675i | ||||
\(333\) | −3.10859e8 | − | 2.25852e8i | −0.461327 | − | 0.335173i | ||||
\(334\) | 2.98516e8 | − | 2.16885e8i | 0.438385 | − | 0.318505i | ||||
\(335\) | 3.91253e7 | − | 1.20415e8i | 0.0568592 | − | 0.174994i | ||||
\(336\) | −8.55103e7 | + | 2.63174e8i | −0.122979 | + | 0.378490i | ||||
\(337\) | −1.83692e8 | + | 1.33460e8i | −0.261448 | + | 0.189953i | −0.710785 | − | 0.703409i | \(-0.751660\pi\) |
0.449337 | + | 0.893362i | \(0.351660\pi\) | |||||||
\(338\) | −2.84033e8 | − | 2.06362e8i | −0.400092 | − | 0.290684i | ||||
\(339\) | −1.11536e8 | − | 3.43274e8i | −0.155495 | − | 0.478566i | ||||
\(340\) | 5.22521e7 | 0.0720987 | ||||||||
\(341\) | −6.36993e7 | + | 1.50452e8i | −0.0869950 | + | 0.205474i | ||||
\(342\) | 3.79490e8 | 0.512990 | ||||||||
\(343\) | −2.19753e8 | − | 6.76331e8i | −0.294040 | − | 0.904961i | ||||
\(344\) | −1.74910e8 | − | 1.27080e8i | −0.231665 | − | 0.168315i | ||||
\(345\) | −4.47582e8 | + | 3.25187e8i | −0.586821 | + | 0.426350i | ||||
\(346\) | −5.27978e7 | + | 1.62495e8i | −0.0685250 | + | 0.210898i | ||||
\(347\) | 1.61279e8 | − | 4.96367e8i | 0.207217 | − | 0.637749i | −0.792398 | − | 0.610005i | \(-0.791168\pi\) |
0.999615 | − | 0.0277444i | \(-0.00883245\pi\) | |||||||
\(348\) | 6.87764e7 | − | 4.99689e7i | 0.0874806 | − | 0.0635584i | ||||
\(349\) | 4.99161e8 | + | 3.62661e8i | 0.628567 | + | 0.456680i | 0.855903 | − | 0.517136i | \(-0.173002\pi\) |
−0.227337 | + | 0.973816i | \(0.573002\pi\) | |||||||
\(350\) | 1.13411e8 | + | 3.49042e8i | 0.141389 | + | 0.435151i | ||||
\(351\) | 1.01307e8 | 0.125045 | ||||||||
\(352\) | −3.20836e8 | − | 2.78379e8i | −0.392088 | − | 0.340203i | ||||
\(353\) | 3.96429e8 | 0.479683 | 0.239841 | − | 0.970812i | \(-0.422905\pi\) | ||||
0.239841 | + | 0.970812i | \(0.422905\pi\) | |||||||
\(354\) | −2.15928e7 | − | 6.64559e7i | −0.0258701 | − | 0.0796200i | ||||
\(355\) | 6.75792e8 | + | 4.90992e8i | 0.801704 | + | 0.582472i | ||||
\(356\) | −2.53446e8 | + | 1.84139e8i | −0.297721 | + | 0.216307i | ||||
\(357\) | 6.17564e7 | − | 1.90067e8i | 0.0718361 | − | 0.221089i | ||||
\(358\) | 1.11103e8 | − | 3.41940e8i | 0.127978 | − | 0.393876i | ||||
\(359\) | 7.85013e8 | − | 5.70346e8i | 0.895461 | − | 0.650590i | −0.0418355 | − | 0.999125i | \(-0.513321\pi\) |
0.937296 | + | 0.348534i | \(0.113321\pi\) | |||||||
\(360\) | 1.80793e8 | + | 1.31354e8i | 0.204231 | + | 0.148383i | ||||
\(361\) | 6.16883e8 | + | 1.89857e9i | 0.690125 | + | 2.12399i | ||||
\(362\) | 9.22194e8 | 1.02174 | ||||||||
\(363\) | 2.46157e8 | − | 4.65021e8i | 0.270109 | − | 0.510269i | ||||
\(364\) | −1.66778e8 | −0.181252 | ||||||||
\(365\) | 2.61883e8 | + | 8.05992e8i | 0.281891 | + | 0.867572i | ||||
\(366\) | −4.49455e8 | − | 3.26548e8i | −0.479185 | − | 0.348148i | ||||
\(367\) | 9.12253e8 | − | 6.62791e8i | 0.963350 | − | 0.699915i | 0.00942401 | − | 0.999956i | \(-0.497000\pi\) |
0.953926 | + | 0.300041i | \(0.0970002\pi\) | |||||||
\(368\) | 3.51399e8 | − | 1.08150e9i | 0.367564 | − | 1.13125i | ||||
\(369\) | 7.69510e7 | − | 2.36831e8i | 0.0797301 | − | 0.245384i | ||||
\(370\) | −8.05709e8 | + | 5.85382e8i | −0.826937 | + | 0.600805i | ||||
\(371\) | −9.55411e8 | − | 6.94146e8i | −0.971363 | − | 0.705736i | ||||
\(372\) | −1.05727e7 | − | 3.25394e7i | −0.0106484 | − | 0.0327725i | ||||
\(373\) | 3.49901e8 | 0.349111 | 0.174556 | − | 0.984647i | \(-0.444151\pi\) | ||||
0.174556 | + | 0.984647i | \(0.444151\pi\) | |||||||
\(374\) | −2.52508e8 | − | 2.19093e8i | −0.249588 | − | 0.216560i | ||||
\(375\) | 6.22605e8 | 0.609682 | ||||||||
\(376\) | 8.37964e6 | + | 2.57899e7i | 0.00812957 | + | 0.0250203i | ||||
\(377\) | −3.82923e8 | − | 2.78210e8i | −0.368058 | − | 0.267410i | ||||
\(378\) | 1.45927e8 | − | 1.06022e8i | 0.138968 | − | 0.100966i | ||||
\(379\) | −5.16659e8 | + | 1.59011e9i | −0.487491 | + | 1.50034i | 0.340849 | + | 0.940118i | \(0.389286\pi\) |
−0.828340 | + | 0.560226i | \(0.810714\pi\) | |||||||
\(380\) | −1.10990e8 | + | 3.41593e8i | −0.103763 | + | 0.319350i | ||||
\(381\) | −8.17971e8 | + | 5.94290e8i | −0.757705 | + | 0.550505i | ||||
\(382\) | −3.47526e8 | − | 2.52493e8i | −0.318982 | − | 0.231754i | ||||
\(383\) | 4.16765e8 | + | 1.28267e9i | 0.379049 | + | 1.16659i | 0.940706 | + | 0.339223i | \(0.110164\pi\) |
−0.561657 | + | 0.827370i | \(0.689836\pi\) | |||||||
\(384\) | −2.73444e8 | −0.246438 | ||||||||
\(385\) | 3.17843e8 | − | 7.50715e8i | 0.283858 | − | 0.670444i | ||||
\(386\) | 8.85169e8 | 0.783377 | ||||||||
\(387\) | 3.10028e7 | + | 9.54169e7i | 0.0271902 | + | 0.0836830i | ||||
\(388\) | −9.14144e7 | − | 6.64164e7i | −0.0794517 | − | 0.0577251i | ||||
\(389\) | 7.42260e8 | − | 5.39283e8i | 0.639341 | − | 0.464508i | −0.220283 | − | 0.975436i | \(-0.570698\pi\) |
0.859624 | + | 0.510928i | \(0.170698\pi\) | |||||||
\(390\) | 8.11405e7 | − | 2.49725e8i | 0.0692646 | − | 0.213175i | ||||
\(391\) | −2.53784e8 | + | 7.81066e8i | −0.214707 | + | 0.660799i | ||||
\(392\) | −9.16747e7 | + | 6.66056e7i | −0.0768685 | + | 0.0558482i | ||||
\(393\) | −3.60088e8 | − | 2.61619e8i | −0.299250 | − | 0.217418i | ||||
\(394\) | 3.21034e8 | + | 9.88042e8i | 0.264432 | + | 0.813839i | ||||
\(395\) | 9.95071e8 | 0.812390 | ||||||||
\(396\) | 2.48848e7 | + | 1.07336e8i | 0.0201373 | + | 0.0868587i | ||||
\(397\) | 1.86088e8 | 0.149263 | 0.0746316 | − | 0.997211i | \(-0.476222\pi\) | ||||
0.0746316 | + | 0.997211i | \(0.476222\pi\) | |||||||
\(398\) | 3.10296e8 | + | 9.54993e8i | 0.246709 | + | 0.759293i | ||||
\(399\) | 1.11136e9 | + | 8.07454e8i | 0.875894 | + | 0.636374i | ||||
\(400\) | −3.50864e8 | + | 2.54917e8i | −0.274112 | + | 0.199154i | ||||
\(401\) | −5.91487e8 | + | 1.82041e9i | −0.458079 | + | 1.40982i | 0.409404 | + | 0.912353i | \(0.365737\pi\) |
−0.867482 | + | 0.497468i | \(0.834263\pi\) | |||||||
\(402\) | 5.24208e7 | − | 1.61335e8i | 0.0402451 | − | 0.123862i | ||||
\(403\) | −1.54111e8 | + | 1.11968e8i | −0.117291 | + | 0.0852171i | ||||
\(404\) | −1.40664e8 | − | 1.02199e8i | −0.106133 | − | 0.0771098i | ||||
\(405\) | −3.20455e7 | − | 9.86259e7i | −0.0239704 | − | 0.0737732i | ||||
\(406\) | −8.42737e8 | −0.624958 | ||||||||
\(407\) | −2.31810e9 | − | 2.00654e8i | −1.70432 | − | 0.147526i | ||||
\(408\) | 3.31734e8 | 0.241813 | ||||||||
\(409\) | −5.23956e8 | − | 1.61257e9i | −0.378672 | − | 1.16543i | −0.940968 | − | 0.338496i | \(-0.890082\pi\) |
0.562296 | − | 0.826936i | \(-0.309918\pi\) | |||||||
\(410\) | −5.22161e8 | − | 3.79372e8i | −0.374163 | − | 0.271845i | ||||
\(411\) | 1.05850e8 | − | 7.69048e7i | 0.0752048 | − | 0.0546395i | ||||
\(412\) | −1.32646e8 | + | 4.08243e8i | −0.0934447 | + | 0.287593i | ||||
\(413\) | 7.81643e7 | − | 2.40565e8i | 0.0545988 | − | 0.168038i | ||||
\(414\) | −5.99679e8 | + | 4.35692e8i | −0.415353 | + | 0.301772i | ||||
\(415\) | 2.42016e8 | + | 1.75835e8i | 0.166217 | + | 0.120764i | ||||
\(416\) | −1.53043e8 | − | 4.71017e8i | −0.104228 | − | 0.320782i | ||||
\(417\) | −5.37325e8 | −0.362878 | ||||||||
\(418\) | 1.96866e9 | − | 1.18536e9i | 1.31842 | − | 0.793843i | ||||
\(419\) | −2.66551e9 | −1.77024 | −0.885118 | − | 0.465366i | \(-0.845923\pi\) | ||||
−0.885118 | + | 0.465366i | \(0.845923\pi\) | |||||||
\(420\) | 5.27551e7 | + | 1.62363e8i | 0.0347450 | + | 0.106934i | ||||
\(421\) | 1.75111e9 | + | 1.27226e9i | 1.14374 | + | 0.830974i | 0.987636 | − | 0.156766i | \(-0.0501070\pi\) |
0.156102 | + | 0.987741i | \(0.450107\pi\) | |||||||
\(422\) | 1.13299e9 | − | 8.23165e8i | 0.733892 | − | 0.533204i | ||||
\(423\) | 3.88854e6 | − | 1.19677e7i | 0.00249802 | − | 0.00768811i | ||||
\(424\) | 6.05767e8 | − | 1.86436e9i | 0.385945 | − | 1.18782i | ||||
\(425\) | 2.53397e8 | − | 1.84104e8i | 0.160118 | − | 0.116333i | ||||
\(426\) | 9.05440e8 | + | 6.57841e8i | 0.567448 | + | 0.412275i | ||||
\(427\) | −6.21456e8 | − | 1.91264e9i | −0.386289 | − | 1.18888i | ||||
\(428\) | 7.18017e8 | 0.442671 | ||||||||
\(429\) | 5.25548e8 | − | 3.16441e8i | 0.321375 | − | 0.193505i | ||||
\(430\) | 2.60036e8 | 0.157723 | ||||||||
\(431\) | 5.91080e8 | + | 1.81916e9i | 0.355611 | + | 1.09446i | 0.955654 | + | 0.294491i | \(0.0951502\pi\) |
−0.600043 | + | 0.799968i | \(0.704850\pi\) | |||||||
\(432\) | 1.72443e8 | + | 1.25287e8i | 0.102909 | + | 0.0747677i | ||||
\(433\) | 9.14595e8 | − | 6.64492e8i | 0.541403 | − | 0.393353i | −0.283203 | − | 0.959060i | \(-0.591397\pi\) |
0.824606 | + | 0.565708i | \(0.191397\pi\) | |||||||
\(434\) | −1.04808e8 | + | 3.22567e8i | −0.0615435 | + | 0.189412i | ||||
\(435\) | −1.49720e8 | + | 4.60791e8i | −0.0872103 | + | 0.268406i | ||||
\(436\) | 2.19059e8 | − | 1.59156e8i | 0.126578 | − | 0.0919644i | ||||
\(437\) | −4.56708e9 | − | 3.31818e9i | −2.61790 | − | 1.90202i | ||||
\(438\) | 3.50876e8 | + | 1.07988e9i | 0.199523 | + | 0.614070i | ||||
\(439\) | −1.88272e9 | −1.06209 | −0.531045 | − | 0.847344i | \(-0.678200\pi\) | ||||
−0.531045 | + | 0.847344i | \(0.678200\pi\) | |||||||
\(440\) | 1.34818e9 | + | 1.16699e8i | 0.754510 | + | 0.0653103i | ||||
\(441\) | 5.25840e7 | 0.0291957 | ||||||||
\(442\) | −1.20449e8 | − | 3.70705e8i | −0.0663478 | − | 0.204198i | ||||
\(443\) | 1.92066e9 | + | 1.39544e9i | 1.04963 | + | 0.762602i | 0.972142 | − | 0.234391i | \(-0.0753097\pi\) |
0.0774890 | + | 0.996993i | \(0.475310\pi\) | |||||||
\(444\) | 3.94197e8 | − | 2.86401e8i | 0.213734 | − | 0.155287i | ||||
\(445\) | 5.51729e8 | − | 1.69805e9i | 0.296802 | − | 0.913461i | ||||
\(446\) | −8.54647e8 | + | 2.63033e9i | −0.456157 | + | 1.40391i | ||||
\(447\) | −1.05516e8 | + | 7.66616e7i | −0.0558780 | + | 0.0405977i | ||||
\(448\) | −1.77469e9 | − | 1.28939e9i | −0.932503 | − | 0.677503i | ||||
\(449\) | −3.77319e8 | − | 1.16127e9i | −0.196719 | − | 0.605440i | −0.999952 | − | 0.00977464i | \(-0.996889\pi\) |
0.803233 | − | 0.595665i | \(-0.203111\pi\) | |||||||
\(450\) | 2.82699e8 | 0.146245 | ||||||||
\(451\) | −3.40563e8 | − | 1.46896e9i | −0.174815 | − | 0.754036i | ||||
\(452\) | 4.57703e8 | 0.233131 | ||||||||
\(453\) | −5.14831e8 | − | 1.58449e9i | −0.260208 | − | 0.800839i | ||||
\(454\) | −2.20002e9 | − | 1.59841e9i | −1.10340 | − | 0.801665i | ||||
\(455\) | 7.68974e8 | − | 5.58692e8i | 0.382712 | − | 0.278056i | ||||
\(456\) | −7.04648e8 | + | 2.16868e9i | −0.348013 | + | 1.07107i | ||||
\(457\) | −9.29074e8 | + | 2.85940e9i | −0.455348 | + | 1.40142i | 0.415378 | + | 0.909649i | \(0.363649\pi\) |
−0.870726 | + | 0.491768i | \(0.836351\pi\) | |||||||
\(458\) | −1.93078e9 | + | 1.40280e9i | −0.939084 | + | 0.682284i | ||||
\(459\) | −1.24540e8 | − | 9.04837e7i | −0.0601125 | − | 0.0436743i | ||||
\(460\) | −2.16794e8 | − | 6.67222e8i | −0.103847 | − | 0.319608i | ||||
\(461\) | 1.83552e8 | 0.0872583 | 0.0436292 | − | 0.999048i | \(-0.486108\pi\) | ||||
0.0436292 | + | 0.999048i | \(0.486108\pi\) | |||||||
\(462\) | 4.25853e8 | − | 1.00582e9i | 0.200915 | − | 0.474542i | ||||
\(463\) | 1.75882e9 | 0.823548 | 0.411774 | − | 0.911286i | \(-0.364909\pi\) | ||||
0.411774 | + | 0.911286i | \(0.364909\pi\) | |||||||
\(464\) | −3.07740e8 | − | 9.47126e8i | −0.143011 | − | 0.440144i | ||||
\(465\) | 1.57753e8 | + | 1.14614e8i | 0.0727599 | + | 0.0528632i | ||||
\(466\) | 2.04217e8 | − | 1.48373e8i | 0.0934851 | − | 0.0679209i | ||||
\(467\) | 1.20138e9 | − | 3.69746e9i | 0.545846 | − | 1.67994i | −0.173125 | − | 0.984900i | \(-0.555386\pi\) |
0.718971 | − | 0.695040i | \(-0.244614\pi\) | |||||||
\(468\) | −3.96984e7 | + | 1.22179e8i | −0.0179024 | + | 0.0550980i | ||||
\(469\) | 4.96796e8 | − | 3.60943e8i | 0.222368 | − | 0.161560i | ||||
\(470\) | −2.63862e7 | − | 1.91707e7i | −0.0117229 | − | 0.00851717i | ||||
\(471\) | −7.84374e7 | − | 2.41406e8i | −0.0345900 | − | 0.106457i | ||||
\(472\) | 4.19872e8 | 0.183789 | ||||||||
\(473\) | 4.58874e8 | + | 3.98151e8i | 0.199379 | + | 0.172995i | ||||
\(474\) | 1.33322e9 | 0.575012 | ||||||||
\(475\) | 6.65313e8 | + | 2.04762e9i | 0.284838 | + | 0.876642i | ||||
\(476\) | 2.05025e8 | + | 1.48959e8i | 0.0871329 | + | 0.0633058i | ||||
\(477\) | −7.35940e8 | + | 5.34692e8i | −0.310476 | + | 0.225574i | ||||
\(478\) | −2.71649e8 | + | 8.36048e8i | −0.113765 | + | 0.350134i | ||||
\(479\) | −3.98165e8 | + | 1.22543e9i | −0.165534 | + | 0.509463i | −0.999075 | − | 0.0429952i | \(-0.986310\pi\) |
0.833541 | + | 0.552458i | \(0.186310\pi\) | |||||||
\(480\) | −4.10140e8 | + | 2.97984e8i | −0.169273 | + | 0.122984i | ||||
\(481\) | −2.19475e9 | − | 1.59458e9i | −0.899244 | − | 0.653339i | ||||
\(482\) | 9.70478e8 | + | 2.98682e9i | 0.394749 | + | 1.21491i | ||||
\(483\) | −2.68324e9 | −1.08354 | ||||||||
\(484\) | 4.64367e8 | + | 4.79095e8i | 0.186167 | + | 0.192071i | ||||
\(485\) | 6.43981e8 | 0.256317 | ||||||||
\(486\) | −4.29352e7 | − | 1.32141e8i | −0.0169663 | − | 0.0522169i | ||||
\(487\) | −2.98851e9 | − | 2.17128e9i | −1.17248 | − | 0.851854i | −0.181173 | − | 0.983451i | \(-0.557989\pi\) |
−0.991303 | + | 0.131598i | \(0.957989\pi\) | |||||||
\(488\) | 2.70070e9 | − | 1.96217e9i | 1.05198 | − | 0.764308i | ||||
\(489\) | −4.77564e8 | + | 1.46979e9i | −0.184693 | + | 0.568427i | ||||
\(490\) | 4.21163e7 | − | 1.29621e8i | 0.0161720 | − | 0.0497723i | ||||
\(491\) | −1.13894e9 | + | 8.27486e8i | −0.434225 | + | 0.315483i | −0.783336 | − | 0.621599i | \(-0.786484\pi\) |
0.349111 | + | 0.937081i | \(0.386484\pi\) | |||||||
\(492\) | 2.55470e8 | + | 1.85610e8i | 0.0967078 | + | 0.0702623i | ||||
\(493\) | 2.22253e8 | + | 6.84024e8i | 0.0835378 | + | 0.257103i | ||||
\(494\) | 2.67930e9 | 0.999948 | ||||||||
\(495\) | −4.74307e8 | − | 4.11542e8i | −0.175769 | − | 0.152509i | ||||
\(496\) | −4.00796e8 | −0.147482 | ||||||||
\(497\) | 1.25194e9 | + | 3.85307e9i | 0.457442 | + | 1.40786i | ||||
\(498\) | 3.24258e8 | + | 2.35587e8i | 0.117649 | + | 0.0854770i | ||||
\(499\) | −5.32287e8 | + | 3.86729e8i | −0.191776 | + | 0.139333i | −0.679530 | − | 0.733648i | \(-0.737816\pi\) |
0.487754 | + | 0.872981i | \(0.337816\pi\) | |||||||
\(500\) | −2.43975e8 | + | 7.50877e8i | −0.0872870 | + | 0.268642i | ||||
\(501\) | 3.17939e8 | − | 9.78516e8i | 0.112957 | − | 0.347645i | ||||
\(502\) | 2.09793e9 | − | 1.52424e9i | 0.740164 | − | 0.537761i | ||||
\(503\) | 3.84398e9 | + | 2.79282e9i | 1.34677 | + | 0.978486i | 0.999166 | + | 0.0408449i | \(0.0130049\pi\) |
0.347605 | + | 0.937641i | \(0.386995\pi\) | |||||||
\(504\) | 3.34928e8 | + | 1.03080e9i | 0.116532 | + | 0.358648i | ||||
\(505\) | 9.90928e8 | 0.342391 | ||||||||
\(506\) | −1.75001e9 | + | 4.13337e9i | −0.600503 | + | 1.41833i | ||||
\(507\) | −9.78953e8 | −0.333606 | ||||||||
\(508\) | −3.96198e8 | − | 1.21937e9i | −0.134088 | − | 0.412680i | ||||
\(509\) | −1.85607e9 | − | 1.34851e9i | −0.623852 | − | 0.453255i | 0.230413 | − | 0.973093i | \(-0.425992\pi\) |
−0.854265 | + | 0.519838i | \(0.825992\pi\) | |||||||
\(510\) | −3.22793e8 | + | 2.34523e8i | −0.107753 | + | 0.0782870i | ||||
\(511\) | −1.27014e9 | + | 3.90909e9i | −0.421094 | + | 1.29599i | ||||
\(512\) | 9.94911e8 | − | 3.06202e9i | 0.327597 | − | 1.00824i | ||||
\(513\) | 8.56069e8 | − | 6.21971e8i | 0.279961 | − | 0.203404i | ||||
\(514\) | 2.98542e9 | + | 2.16903e9i | 0.969693 | + | 0.704523i | ||||
\(515\) | −7.55982e8 | − | 2.32667e9i | −0.243886 | − | 0.750603i | ||||
\(516\) | −1.27224e8 | −0.0407657 | ||||||||
\(517\) | −1.72096e7 | − | 7.42305e7i | −0.00547713 | − | 0.0236247i | ||||
\(518\) | −4.83021e9 | −1.52690 | ||||||||
\(519\) | 1.47220e8 | + | 4.53097e8i | 0.0462254 | + | 0.142267i | ||||
\(520\) | 1.27645e9 | + | 9.27393e8i | 0.398099 | + | 0.289236i | ||||
\(521\) | 4.39201e9 | − | 3.19098e9i | 1.36060 | − | 0.988535i | 0.362196 | − | 0.932102i | \(-0.382027\pi\) |
0.998406 | − | 0.0564334i | \(-0.0179728\pi\) | |||||||
\(522\) | −2.00598e8 | + | 6.17377e8i | −0.0617277 | + | 0.189978i | ||||
\(523\) | 2.74962e7 | − | 8.46246e7i | 0.00840459 | − | 0.0258667i | −0.946766 | − | 0.321922i | \(-0.895671\pi\) |
0.955171 | + | 0.296055i | \(0.0956712\pi\) | |||||||
\(524\) | 4.56623e8 | − | 3.31756e8i | 0.138643 | − | 0.100730i | ||||
\(525\) | 8.27905e8 | + | 6.01508e8i | 0.249702 | + | 0.181419i | ||||
\(526\) | −3.32111e8 | − | 1.02213e9i | −0.0995023 | − | 0.306237i | ||||
\(527\) | 2.89459e8 | 0.0861489 | ||||||||
\(528\) | 1.28592e9 | + | 1.11309e8i | 0.380186 | + | 0.0329088i | ||||
\(529\) | 7.62179e9 | 2.23853 | ||||||||
\(530\) | 7.28588e8 | + | 2.24236e9i | 0.212577 | + | 0.654245i | ||||
\(531\) | −1.57629e8 | − | 1.14524e8i | −0.0456883 | − | 0.0331945i | ||||
\(532\) | −1.40931e9 | + | 1.02392e9i | −0.405803 | + | 0.294833i | ||||
\(533\) | 5.43295e8 | − | 1.67209e9i | 0.155414 | − | 0.478316i | ||||
\(534\) | 7.39218e8 | − | 2.27508e9i | 0.210077 | − | 0.646550i | ||||
\(535\) | −3.31061e9 | + | 2.40530e9i | −0.934696 | + | 0.679096i | ||||
\(536\) | 8.24649e8 | + | 5.99142e8i | 0.231309 | + | 0.168056i | ||||
\(537\) | −3.09797e8 | − | 9.53457e8i | −0.0863311 | − | 0.265700i | ||||
\(538\) | −3.25059e9 | −0.899963 | ||||||||
\(539\) | 2.72788e8 | − | 1.64250e8i | 0.0750351 | − | 0.0451798i | ||||
\(540\) | 1.31503e8 | 0.0359382 | ||||||||
\(541\) | 6.76855e7 | + | 2.08314e8i | 0.0183783 | + | 0.0565625i | 0.959825 | − | 0.280599i | \(-0.0905331\pi\) |
−0.941447 | + | 0.337162i | \(0.890533\pi\) | |||||||
\(542\) | −4.52943e9 | − | 3.29082e9i | −1.22193 | − | 0.887784i | ||||
\(543\) | 2.08033e9 | − | 1.51145e9i | 0.557612 | − | 0.405129i | ||||
\(544\) | −2.32554e8 | + | 7.15727e8i | −0.0619338 | + | 0.190612i | ||||
\(545\) | −4.76873e8 | + | 1.46766e9i | −0.126187 | + | 0.388364i | ||||
\(546\) | 1.03029e9 | − | 7.48547e8i | 0.270884 | − | 0.196809i | ||||
\(547\) | −1.10300e9 | − | 8.01376e8i | −0.288151 | − | 0.209354i | 0.434314 | − | 0.900762i | \(-0.356991\pi\) |
−0.722465 | + | 0.691408i | \(0.756991\pi\) | |||||||
\(548\) | 5.12704e7 | + | 1.57794e8i | 0.0133087 | + | 0.0409599i | ||||
\(549\) | −1.54910e9 | −0.399555 | ||||||||
\(550\) | 1.46655e9 | − | 8.83030e8i | 0.375860 | − | 0.226311i | ||||
\(551\) | −4.94384e9 | −1.25902 | ||||||||
\(552\) | −1.37636e9 | − | 4.23601e9i | −0.348294 | − | 1.07194i | ||||
\(553\) | 3.90443e9 | + | 2.83673e9i | 0.981792 | + | 0.713313i | ||||
\(554\) | −1.33890e9 | + | 9.72768e8i | −0.334552 | + | 0.243067i | ||||
\(555\) | −8.58132e8 | + | 2.64106e9i | −0.213073 | + | 0.655772i | ||||
\(556\) | 2.10557e8 | − | 6.48026e8i | 0.0519526 | − | 0.159894i | ||||
\(557\) | 4.55898e9 | − | 3.31229e9i | 1.11783 | − | 0.812149i | 0.133949 | − | 0.990988i | \(-0.457234\pi\) |
0.983878 | + | 0.178839i | \(0.0572343\pi\) | |||||||
\(558\) | 2.11361e8 | + | 1.53563e8i | 0.0514997 | + | 0.0374167i | ||||
\(559\) | 2.18889e8 | + | 6.73670e8i | 0.0530007 | + | 0.163119i | ||||
\(560\) | 1.99987e9 | 0.481220 | ||||||||
\(561\) | −9.28705e8 | − | 8.03885e7i | −0.222079 | − | 0.0192231i | ||||
\(562\) | 3.78427e9 | 0.899300 | ||||||||
\(563\) | 1.23574e9 | + | 3.80322e9i | 0.291842 | + | 0.898197i | 0.984264 | + | 0.176705i | \(0.0565437\pi\) |
−0.692422 | + | 0.721493i | \(0.743456\pi\) | |||||||
\(564\) | 1.29096e7 | + | 9.37935e6i | 0.00302994 | + | 0.00220138i | ||||
\(565\) | −2.11037e9 | + | 1.53327e9i | −0.492253 | + | 0.357643i | ||||
\(566\) | 1.38955e9 | − | 4.27661e9i | 0.322120 | − | 0.991384i | ||||
\(567\) | 1.55422e8 | − | 4.78340e8i | 0.0358073 | − | 0.110204i | ||||
\(568\) | −5.44064e9 | + | 3.95285e9i | −1.24575 | + | 0.905090i | ||||
\(569\) | −4.39317e9 | − | 3.19183e9i | −0.999736 | − | 0.726351i | −0.0377048 | − | 0.999289i | \(-0.512005\pi\) |
−0.962032 | + | 0.272938i | \(0.912005\pi\) | |||||||
\(570\) | −8.47517e8 | − | 2.60839e9i | −0.191684 | − | 0.589943i | ||||
\(571\) | −1.67210e9 | −0.375869 | −0.187934 | − | 0.982182i | \(-0.560179\pi\) | ||||
−0.187934 | + | 0.982182i | \(0.560179\pi\) | |||||||
\(572\) | 1.75693e8 | + | 7.57824e8i | 0.0392527 | + | 0.169310i | ||||
\(573\) | −1.19779e9 | −0.265975 | ||||||||
\(574\) | −9.67330e8 | − | 2.97713e9i | −0.213493 | − | 0.657063i | ||||
\(575\) | −3.40222e9 | − | 2.47186e9i | −0.746320 | − | 0.542233i | ||||
\(576\) | −1.36702e9 | + | 9.93200e8i | −0.298055 | + | 0.216550i | ||||
\(577\) | 1.41177e9 | − | 4.34499e9i | 0.305949 | − | 0.941616i | −0.673372 | − | 0.739304i | \(-0.735155\pi\) |
0.979321 | − | 0.202312i | \(-0.0648454\pi\) | |||||||
\(578\) | 1.04480e9 | − | 3.21556e9i | 0.225054 | − | 0.692644i | ||||
\(579\) | 1.99680e9 | − | 1.45076e9i | 0.427524 | − | 0.310614i | ||||
\(580\) | −4.97056e8 | − | 3.61132e8i | −0.105781 | − | 0.0768543i | ||||
\(581\) | 4.48347e8 | + | 1.37987e9i | 0.0948414 | + | 0.291892i | ||||
\(582\) | 8.62819e8 | 0.181422 | ||||||||
\(583\) | −2.14766e9 | + | 5.07256e9i | −0.448875 | + | 1.06020i | ||||
\(584\) | −6.82277e9 | −1.41748 | ||||||||
\(585\) | −2.26250e8 | − | 6.96326e8i | −0.0467244 | − | 0.143803i | ||||
\(586\) | 4.47884e9 | + | 3.25407e9i | 0.919441 | + | 0.668013i | ||||
\(587\) | −5.95676e9 | + | 4.32784e9i | −1.21556 | + | 0.883157i | −0.995724 | − | 0.0923794i | \(-0.970553\pi\) |
−0.219838 | + | 0.975536i | \(0.570553\pi\) | |||||||
\(588\) | −2.06056e7 | + | 6.34175e7i | −0.00417989 | + | 0.0128644i | ||||
\(589\) | −6.14849e8 | + | 1.89231e9i | −0.123984 | + | 0.381583i | ||||
\(590\) | −4.08555e8 | + | 2.96833e8i | −0.0818972 | + | 0.0595018i | ||||
\(591\) | 2.34357e9 | + | 1.70270e9i | 0.467005 | + | 0.339299i | ||||
\(592\) | −1.76383e9 | − | 5.42852e9i | −0.349407 | − | 1.07536i | ||||
\(593\) | 2.91231e9 | 0.573516 | 0.286758 | − | 0.958003i | \(-0.407422\pi\) | ||||
0.286758 | + | 0.958003i | \(0.407422\pi\) | |||||||
\(594\) | −6.35486e8 | − | 5.51392e8i | −0.124409 | − | 0.107946i | ||||
\(595\) | −1.44433e9 | −0.281097 | ||||||||
\(596\) | −5.11083e7 | − | 1.57295e8i | −0.00988847 | − | 0.0304336i | ||||
\(597\) | 2.26518e9 | + | 1.64575e9i | 0.435705 | + | 0.316558i | ||||
\(598\) | −4.23390e9 | + | 3.07611e9i | −0.809630 | + | 0.588230i | ||||
\(599\) | 2.25696e9 | − | 6.94620e9i | 0.429071 | − | 1.32055i | −0.469970 | − | 0.882682i | \(-0.655735\pi\) |
0.899041 | − | 0.437864i | \(-0.144265\pi\) | |||||||
\(600\) | −5.24924e8 | + | 1.61555e9i | −0.0992126 | + | 0.305345i | ||||
\(601\) | 1.38012e9 | − | 1.00271e9i | 0.259332 | − | 0.188416i | −0.450521 | − | 0.892766i | \(-0.648762\pi\) |
0.709852 | + | 0.704350i | \(0.248762\pi\) | |||||||
\(602\) | 1.02032e9 | + | 7.41307e8i | 0.190612 | + | 0.138487i | ||||
\(603\) | −1.46169e8 | − | 4.49862e8i | −0.0271484 | − | 0.0835542i | ||||
\(604\) | 2.11267e9 | 0.390124 | ||||||||
\(605\) | −3.74602e9 | − | 6.53406e8i | −0.687744 | − | 0.119961i | ||||
\(606\) | 1.32767e9 | 0.242345 | ||||||||
\(607\) | −2.34242e9 | − | 7.20924e9i | −0.425114 | − | 1.30837i | −0.902886 | − | 0.429881i | \(-0.858555\pi\) |
0.477772 | − | 0.878484i | \(-0.341445\pi\) | |||||||
\(608\) | −4.18503e9 | − | 3.04060e9i | −0.755155 | − | 0.548652i | ||||
\(609\) | −1.90108e9 | + | 1.38122e9i | −0.341068 | + | 0.247800i | ||||
\(610\) | −1.24073e9 | + | 3.81858e9i | −0.221321 | + | 0.681157i | ||||
\(611\) | 2.74542e7 | − | 8.44952e7i | 0.00486927 | − | 0.0149861i | ||||
\(612\) | 1.57928e8 | − | 1.14741e8i | 0.0278502 | − | 0.0202344i | ||||
\(613\) | 7.25421e9 | + | 5.27049e9i | 1.27197 | + | 0.924144i | 0.999279 | − | 0.0379569i | \(-0.0120850\pi\) |
0.272695 | + | 0.962100i | \(0.412085\pi\) | |||||||
\(614\) | −1.66242e9 | − | 5.11640e9i | −0.289835 | − | 0.892021i | ||||
\(615\) | −1.79969e9 | −0.311986 | ||||||||
\(616\) | 4.95728e9 | + | 4.30128e9i | 0.854497 | + | 0.741421i | ||||
\(617\) | −2.77632e9 | −0.475852 | −0.237926 | − | 0.971283i | \(-0.576468\pi\) | ||||
−0.237926 | + | 0.971283i | \(0.576468\pi\) | |||||||
\(618\) | −1.01288e9 | − | 3.11732e9i | −0.172623 | − | 0.531278i | ||||
\(619\) | 3.82286e9 | + | 2.77747e9i | 0.647845 | + | 0.470687i | 0.862536 | − | 0.505995i | \(-0.168875\pi\) |
−0.214692 | + | 0.976682i | \(0.568875\pi\) | |||||||
\(620\) | −2.00045e8 | + | 1.45341e8i | −0.0337098 | + | 0.0244916i | ||||
\(621\) | −6.38697e8 | + | 1.96571e9i | −0.107022 | + | 0.329381i | ||||
\(622\) | 2.30621e8 | − | 7.09778e8i | 0.0384266 | − | 0.118265i | ||||
\(623\) | 7.00562e9 | − | 5.08988e9i | 1.16075 | − | 0.843334i | ||||
\(624\) | 1.21750e9 | + | 8.84563e8i | 0.200596 | + | 0.145741i | ||||
\(625\) | −4.23625e8 | − | 1.30378e9i | −0.0694067 | − | 0.213612i | ||||
\(626\) | 2.63160e9 | 0.428756 | ||||||||
\(627\) | 2.49823e9 | − | 5.90057e9i | 0.404758 | − | 0.955999i | ||||
\(628\) | 3.21878e8 | 0.0518599 | ||||||||
\(629\) | 1.27386e9 | + | 3.92053e9i | 0.204100 | + | 0.628156i | ||||
\(630\) | −1.05464e9 | − | 7.66238e8i | −0.168039 | − | 0.122088i | ||||
\(631\) | −7.89221e9 | + | 5.73402e9i | −1.25053 | + | 0.908567i | −0.998253 | − | 0.0590872i | \(-0.981181\pi\) |
−0.252282 | + | 0.967654i | \(0.581181\pi\) | |||||||
\(632\) | −2.47556e9 | + | 7.61898e9i | −0.390089 | + | 1.20057i | ||||
\(633\) | 1.20671e9 | − | 3.71386e9i | 0.189099 | − | 0.581986i | ||||
\(634\) | 6.50178e8 | − | 4.72382e8i | 0.101326 | − | 0.0736175i | ||||
\(635\) | 5.91158e9 | + | 4.29502e9i | 0.916211 | + | 0.665667i | ||||
\(636\) | −3.56465e8 | − | 1.09709e9i | −0.0549436 | − | 0.169099i | ||||
\(637\) | 3.71257e8 | 0.0569098 | ||||||||
\(638\) | 8.87789e8 | + | 3.82933e9i | 0.135344 | + | 0.583781i | ||||
\(639\) | 3.12071e9 | 0.473152 | ||||||||
\(640\) | 6.10683e8 | + | 1.87949e9i | 0.0920844 | + | 0.283407i | ||||
\(641\) | 9.94752e9 | + | 7.22730e9i | 1.49180 | + | 1.08386i | 0.973507 | + | 0.228658i | \(0.0734337\pi\) |
0.518297 | + | 0.855201i | \(0.326566\pi\) | |||||||
\(642\) | −4.43563e9 | + | 3.22267e9i | −0.661580 | + | 0.480666i | ||||
\(643\) | 3.78741e9 | − | 1.16565e10i | 0.561829 | − | 1.72913i | −0.115361 | − | 0.993324i | \(-0.536803\pi\) |
0.677190 | − | 0.735808i | \(-0.263197\pi\) | |||||||
\(644\) | 1.05146e9 | − | 3.23606e9i | 0.155128 | − | 0.477436i | ||||
\(645\) | 5.86601e8 | − | 4.26191e8i | 0.0860763 | − | 0.0625381i | ||||
\(646\) | −3.29375e9 | − | 2.39305e9i | −0.480703 | − | 0.349251i | ||||
\(647\) | 3.11875e9 | + | 9.59852e9i | 0.452705 | + | 1.39328i | 0.873808 | + | 0.486271i | \(0.161643\pi\) |
−0.421103 | + | 0.907013i | \(0.638357\pi\) | |||||||
\(648\) | 8.34875e8 | 0.120534 | ||||||||
\(649\) | −1.17545e9 | − | 1.01747e8i | −0.168791 | − | 0.0146105i | ||||
\(650\) | 1.99593e9 | 0.285068 | ||||||||
\(651\) | 2.92245e8 | + | 8.99439e8i | 0.0415159 | + | 0.127773i | ||||
\(652\) | −1.58546e9 | − | 1.15191e9i | −0.224021 | − | 0.162761i | ||||
\(653\) | 6.38850e8 | − | 4.64152e8i | 0.0897848 | − | 0.0652325i | −0.541987 | − | 0.840387i | \(-0.682328\pi\) |
0.631772 | + | 0.775154i | \(0.282328\pi\) | |||||||
\(654\) | −6.38924e8 | + | 1.96641e9i | −0.0893155 | + | 0.274885i | ||||
\(655\) | −9.94029e8 | + | 3.05931e9i | −0.138215 | + | 0.425381i | ||||
\(656\) | 2.99267e9 | − | 2.17430e9i | 0.413900 | − | 0.300716i | ||||
\(657\) | 2.56141e9 | + | 1.86098e9i | 0.352372 | + | 0.256013i | ||||
\(658\) | −4.88818e7 | − | 1.50443e8i | −0.00668892 | − | 0.0205864i | ||||
\(659\) | 2.16376e9 | 0.294517 | 0.147259 | − | 0.989098i | \(-0.452955\pi\) | ||||
0.147259 | + | 0.989098i | \(0.452955\pi\) | |||||||
\(660\) | 6.82191e8 | − | 4.10758e8i | 0.0923639 | − | 0.0556138i | ||||
\(661\) | 6.20732e9 | 0.835986 | 0.417993 | − | 0.908450i | \(-0.362734\pi\) | ||||
0.417993 | + | 0.908450i | \(0.362734\pi\) | |||||||
\(662\) | 1.13979e9 | + | 3.50792e9i | 0.152694 | + | 0.469944i | ||||
\(663\) | −8.79288e8 | − | 6.38840e8i | −0.117175 | − | 0.0851324i | ||||
\(664\) | −1.94841e9 | + | 1.41560e9i | −0.258281 | + | 0.187652i | ||||
\(665\) | 3.06794e9 | − | 9.44216e9i | 0.404549 | − | 1.24507i | ||||
\(666\) | −1.14974e9 | + | 3.53854e9i | −0.150814 | + | 0.464157i | ||||
\(667\) | 7.81238e9 | − | 5.67602e9i | 1.01940 | − | 0.740634i | ||||
\(668\) | 1.05553e9 | + | 7.66885e8i | 0.137010 | + | 0.0995434i | ||||
\(669\) | 2.38308e9 | + | 7.33435e9i | 0.307713 | + | 0.947044i | ||||
\(670\) | −1.22599e9 | −0.157480 | ||||||||
\(671\) | −8.03622e9 | + | 4.83874e9i | −1.02689 | + | 0.618306i | ||||
\(672\) | −2.45878e9 | −0.312556 | ||||||||
\(673\) | −2.43652e9 | − | 7.49885e9i | −0.308119 | − | 0.948291i | −0.978495 | − | 0.206270i | \(-0.933867\pi\) |
0.670377 | − | 0.742021i | \(-0.266133\pi\) | |||||||
\(674\) | 1.77870e9 | + | 1.29230e9i | 0.223765 | + | 0.162575i | ||||
\(675\) | 6.37724e8 | − | 4.63334e8i | 0.0798122 | − | 0.0579870i | ||||
\(676\) | 3.83613e8 | − | 1.18064e9i | 0.0477618 | − | 0.146996i | ||||
\(677\) | −8.28255e7 | + | 2.54911e8i | −0.0102590 | + | 0.0315739i | −0.956055 | − | 0.293187i | \(-0.905284\pi\) |
0.945796 | + | 0.324761i | \(0.105284\pi\) | |||||||
\(678\) | −2.82751e9 | + | 2.05431e9i | −0.348418 | + | 0.253141i | ||||
\(679\) | 2.52683e9 | + | 1.83585e9i | 0.309765 | + | 0.225057i | ||||
\(680\) | −7.40864e8 | − | 2.28015e9i | −0.0903561 | − | 0.278088i | ||||
\(681\) | −7.58265e9 | −0.920039 | ||||||||
\(682\) | 1.57613e9 | + | 1.36430e8i | 0.190260 | + | 0.0164689i | ||||
\(683\) | −7.43196e9 | −0.892546 | −0.446273 | − | 0.894897i | \(-0.647249\pi\) | ||||
−0.446273 | + | 0.894897i | \(0.647249\pi\) | |||||||
\(684\) | 4.14651e8 | + | 1.27617e9i | 0.0495435 | + | 0.152479i | ||||
\(685\) | −7.64994e8 | − | 5.55801e8i | −0.0909371 | − | 0.0660697i | ||||
\(686\) | −5.57087e9 | + | 4.04747e9i | −0.658853 | + | 0.478685i | ||||
\(687\) | −2.05641e9 | + | 6.32897e9i | −0.241970 | + | 0.744706i | ||||
\(688\) | −4.60544e8 | + | 1.41741e9i | −0.0539152 | + | 0.165934i | ||||
\(689\) | −5.19594e9 | + | 3.77507e9i | −0.605197 | + | 0.439701i | ||||
\(690\) | 4.33396e9 | + | 3.14881e9i | 0.502242 | + | 0.364900i | ||||
\(691\) | −2.79277e9 | − | 8.59527e9i | −0.322005 | − | 0.991029i | −0.972775 | − | 0.231754i | \(-0.925554\pi\) |
0.650770 | − | 0.759275i | \(-0.274446\pi\) | |||||||
\(692\) | −6.04135e8 | −0.0693047 | ||||||||
\(693\) | −6.87853e8 | − | 2.96694e9i | −0.0785108 | − | 0.338643i | ||||
\(694\) | −5.05370e9 | −0.573920 | ||||||||
\(695\) | 1.20001e9 | + | 3.69325e9i | 0.135593 | + | 0.417313i | ||||
\(696\) | −3.15567e9 | − | 2.29273e9i | −0.354780 | − | 0.257763i | ||||
\(697\) | −2.16134e9 | + | 1.57030e9i | −0.241773 | + | 0.175658i | ||||
\(698\) | 1.84619e9 | − | 5.68200e9i | 0.205487 | − | 0.632423i | ||||
\(699\) | 2.17505e8 | − | 6.69411e8i | 0.0240879 | − | 0.0741349i | ||||
\(700\) | −1.04986e9 | + | 7.62765e8i | −0.115688 | + | 0.0840520i | ||||
\(701\) | 1.07017e9 | + | 7.77522e8i | 0.117338 | + | 0.0852510i | 0.644907 | − | 0.764261i | \(-0.276896\pi\) |
−0.527569 | + | 0.849512i | \(0.676896\pi\) | |||||||
\(702\) | −3.03135e8 | − | 9.32952e8i | −0.0330716 | − | 0.101784i | ||||
\(703\) | −2.83360e10 | −3.07606 | ||||||||
\(704\) | −3.98932e9 | + | 9.42238e9i | −0.430917 | + | 1.01779i | ||||
\(705\) | −9.09432e7 | −0.00977481 | ||||||||
\(706\) | −1.18621e9 | − | 3.65077e9i | −0.126866 | − | 0.390452i | ||||
\(707\) | 3.88817e9 | + | 2.82492e9i | 0.413787 | + | 0.300634i | ||||
\(708\) | 1.99888e8 | − | 1.45227e8i | 0.0211675 | − | 0.0153791i | ||||
\(709\) | 3.63664e9 | − | 1.11924e10i | 0.383212 | − | 1.17940i | −0.554558 | − | 0.832145i | \(-0.687113\pi\) |
0.937769 | − | 0.347259i | \(-0.112887\pi\) | |||||||
\(710\) | 2.49949e9 | − | 7.69262e9i | 0.262088 | − | 0.806622i | ||||
\(711\) | 3.00753e9 | − | 2.18510e9i | 0.313809 | − | 0.227996i | ||||
\(712\) | 1.16289e10 | + | 8.44887e9i | 1.20742 | + | 0.877241i | ||||
\(713\) | −1.20096e9 | − | 3.69619e9i | −0.124084 | − | 0.381892i | ||||
\(714\) | −1.93514e9 | −0.198961 | ||||||||
\(715\) | −3.34874e9 | − | 2.90560e9i | −0.342618 | − | 0.297279i | ||||
\(716\) | 1.27129e9 | 0.129434 | ||||||||
\(717\) | 7.57458e8 | + | 2.33122e9i | 0.0767435 | + | 0.236192i | ||||
\(718\) | −7.60133e9 | − | 5.52269e9i | −0.766397 | − | 0.556820i | ||||
\(719\) | 7.17458e9 | − | 5.21264e9i | 0.719856 | − | 0.523006i | −0.166482 | − | 0.986044i | \(-0.553241\pi\) |
0.886338 | + | 0.463039i | \(0.153241\pi\) | |||||||
\(720\) | 4.76033e8 | − | 1.46508e9i | 0.0475306 | − | 0.146284i | ||||
\(721\) | 3.66654e9 | − | 1.12845e10i | 0.364320 | − | 1.12126i | ||||
\(722\) | 1.56383e10 | − | 1.13619e10i | 1.54636 | − | 1.12350i | ||||
\(723\) | 7.08455e9 | + | 5.14722e9i | 0.697153 | + | 0.506511i | ||||
\(724\) | 1.00764e9 | + | 3.10120e9i | 0.0986781 | + | 0.303700i | ||||
\(725\) | −3.68289e9 | −0.358926 | ||||||||
\(726\) | −5.01900e9 | − | 8.75446e8i | −0.486787 | − | 0.0849085i | ||||
\(727\) | −2.84383e8 | −0.0274495 | −0.0137247 | − | 0.999906i | \(-0.504369\pi\) | ||||
−0.0137247 | + | 0.999906i | \(0.504369\pi\) | |||||||
\(728\) | 2.36468e9 | + | 7.27774e9i | 0.227150 | + | 0.699096i | ||||
\(729\) | −3.13430e8 | − | 2.27720e8i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | 6.63887e9 | − | 4.82342e9i | 0.631632 | − | 0.458908i | ||||
\(731\) | 3.32609e8 | − | 1.02367e9i | 0.0314937 | − | 0.0969276i | ||||
\(732\) | 6.07033e8 | − | 1.86826e9i | 0.0572036 | − | 0.176055i | ||||
\(733\) | −6.09071e8 | + | 4.42516e8i | −0.0571221 | + | 0.0415016i | −0.615980 | − | 0.787762i | \(-0.711240\pi\) |
0.558858 | + | 0.829264i | \(0.311240\pi\) | |||||||
\(734\) | −8.83340e9 | − | 6.41784e9i | −0.824502 | − | 0.599036i | ||||
\(735\) | −1.17436e8 | − | 3.61431e8i | −0.0109093 | − | 0.0335753i | ||||
\(736\) | 1.01042e10 | 0.934178 | ||||||||
\(737\) | −2.16345e9 | − | 1.87716e9i | −0.199072 | − | 0.172729i | ||||
\(738\) | −2.41126e9 | −0.220824 | ||||||||
\(739\) | −4.47662e9 | − | 1.37776e10i | −0.408033 | − | 1.25580i | −0.918336 | − | 0.395801i | \(-0.870467\pi\) |
0.510303 | − | 0.859994i | \(-0.329533\pi\) | |||||||
\(740\) | −2.84891e9 | − | 2.06986e9i | −0.258445 | − | 0.187771i | ||||
\(741\) | 6.04408e9 | − | 4.39128e9i | 0.545716 | − | 0.396486i | ||||
\(742\) | −3.53368e9 | + | 1.08756e10i | −0.317551 | + | 0.977322i | ||||
\(743\) | −3.59813e9 | + | 1.10739e10i | −0.321822 | + | 0.990467i | 0.651032 | + | 0.759050i | \(0.274336\pi\) |
−0.972855 | + | 0.231417i | \(0.925664\pi\) | |||||||
\(744\) | −1.27003e9 | + | 9.22731e8i | −0.113060 | + | 0.0821429i | ||||
\(745\) | 7.62576e8 | + | 5.54044e8i | 0.0675672 | + | 0.0490904i | ||||
\(746\) | −1.04698e9 | − | 3.22228e9i | −0.0923323 | − | 0.284170i | ||||
\(747\) | 1.11759e9 | 0.0980985 | ||||||||
\(748\) | 4.60874e8 | − | 1.08854e9i | 0.0402649 | − | 0.0951017i | ||||
\(749\) | −1.98471e10 | −1.72588 | ||||||||
\(750\) | −1.86298e9 | − | 5.73366e9i | −0.161248 | − | 0.496269i | ||||
\(751\) | −4.17024e9 | − | 3.02985e9i | −0.359270 | − | 0.261025i | 0.393478 | − | 0.919334i | \(-0.371272\pi\) |
−0.752748 | + | 0.658309i | \(0.771272\pi\) | |||||||
\(752\) | 1.51228e8 | − | 1.09873e8i | 0.0129679 | − | 0.00942172i | ||||
\(753\) | 2.23443e9 | − | 6.87687e9i | 0.190715 | − | 0.586960i | ||||
\(754\) | −1.41628e9 | + | 4.35885e9i | −0.120323 | + | 0.370316i | ||||
\(755\) | −9.74106e9 | + | 7.07729e9i | −0.823743 | + | 0.598484i | ||||
\(756\) | 5.15985e8 | + | 3.74885e8i | 0.0434321 | + | 0.0315553i | ||||
\(757\) | 3.84346e9 | + | 1.18289e10i | 0.322023 | + | 0.991084i | 0.972767 | + | 0.231787i | \(0.0744572\pi\) |
−0.650744 | + | 0.759297i | \(0.725543\pi\) | |||||||
\(758\) | 1.61895e10 | 1.35018 | ||||||||
\(759\) | 2.82669e9 | + | 1.21924e10i | 0.234656 | + | 1.01215i | ||||
\(760\) | 1.64800e10 | 1.36178 | ||||||||
\(761\) | 2.29526e9 | + | 7.06410e9i | 0.188793 | + | 0.581046i | 0.999993 | − | 0.00372320i | \(-0.00118513\pi\) |
−0.811200 | + | 0.584769i | \(0.801185\pi\) | |||||||
\(762\) | 7.92046e9 | + | 5.75455e9i | 0.648497 | + | 0.471160i | ||||
\(763\) | −6.05513e9 | + | 4.39931e9i | −0.493500 | + | 0.358549i | ||||
\(764\) | 4.69368e8 | − | 1.44457e9i | 0.0380791 | − | 0.117195i | ||||
\(765\) | −3.43795e8 | + | 1.05809e9i | −0.0277642 | + | 0.0854494i | ||||
\(766\) | 1.05652e10 | − | 7.67609e9i | 0.849334 | − | 0.617077i | ||||
\(767\) | −1.11290e9 | − | 8.08572e8i | −0.0890582 | − | 0.0647046i | ||||
\(768\) | −1.65720e9 | − | 5.10034e9i | −0.132011 | − | 0.406289i | ||||
\(769\) | 1.59173e8 | 0.0126220 | 0.00631100 | − | 0.999980i | \(-0.497991\pi\) | ||||
0.00631100 | + | 0.999980i | \(0.497991\pi\) | |||||||
\(770\) | −7.86450e9 | − | 6.80749e8i | −0.620802 | − | 0.0537365i | ||||
\(771\) | 1.02896e10 | 0.808553 | ||||||||
\(772\) | 9.67185e8 | + | 2.97669e9i | 0.0756570 | + | 0.232848i | ||||
\(773\) | −6.18301e9 | − | 4.49222e9i | −0.481473 | − | 0.349811i | 0.320423 | − | 0.947275i | \(-0.396175\pi\) |
−0.801896 | + | 0.597464i | \(0.796175\pi\) | |||||||
\(774\) | 7.85940e8 | − | 5.71019e8i | 0.0609251 | − | 0.0442646i | ||||
\(775\) | −4.58029e8 | + | 1.40967e9i | −0.0353457 | + | 0.108783i | ||||
\(776\) | −1.60211e9 | + | 4.93078e9i | −0.123077 | + | 0.378791i | ||||
\(777\) | −1.08962e10 | + | 7.91655e9i | −0.833300 | + | 0.605428i | ||||
\(778\) | −7.18735e9 | − | 5.22191e9i | −0.547192 | − | 0.397559i | ||||
\(779\) | −5.67475e9 | − | 1.74651e10i | −0.430096 | − | 1.32370i | ||||
\(780\) | 9.28445e8 | 0.0700527 | ||||||||
\(781\) | 1.61892e10 | − | 9.74777e9i | 1.21604 | − | 0.732195i | ||||
\(782\) | 7.95232e9 | 0.594662 | ||||||||
\(783\) | 5.59343e8 | + | 1.72148e9i | 0.0416401 | + | 0.128155i | ||||
\(784\) | 6.31947e8 | + | 4.59136e8i | 0.0468354 | + | 0.0340279i | ||||
\(785\) | −1.48411e9 | + | 1.07827e9i | −0.109502 | + | 0.0795576i | ||||
\(786\) | −1.33182e9 | + | 4.09892e9i | −0.0978288 | + | 0.301086i | ||||
\(787\) | −7.82266e9 | + | 2.40757e10i | −0.572061 | + | 1.76062i | 0.0739126 | + | 0.997265i | \(0.476451\pi\) |
−0.645974 | + | 0.763359i | \(0.723549\pi\) | |||||||
\(788\) | −2.97185e9 | + | 2.15918e9i | −0.216364 | + | 0.157198i | ||||
\(789\) | −2.42443e9 | − | 1.76145e9i | −0.175728 | − | 0.127674i | ||||
\(790\) | −2.97748e9 | − | 9.16375e9i | −0.214859 | − | 0.661269i | ||||
\(791\) | −1.26516e10 | −0.908925 | ||||||||
\(792\) | 4.33105e9 | − | 2.60779e9i | 0.309781 | − | 0.186524i | ||||
\(793\) | −1.09371e10 | −0.778836 | ||||||||
\(794\) | −5.56819e8 | − | 1.71371e9i | −0.0394769 | − | 0.121497i | ||||
\(795\) | 5.31874e9 | + | 3.86429e9i | 0.375425 | + | 0.272762i | ||||
\(796\) | −2.87245e9 | + | 2.08696e9i | −0.201863 | + | 0.146662i | ||||
\(797\) | −2.45707e9 | + | 7.56208e9i | −0.171915 | + | 0.529099i | −0.999479 | − | 0.0322716i | \(-0.989726\pi\) |
0.827564 | + | 0.561371i | \(0.189726\pi\) | |||||||
\(798\) | 4.11049e9 | − | 1.26508e10i | 0.286341 | − | 0.881267i | ||||
\(799\) | −1.09218e8 | + | 7.93516e7i | −0.00757497 | + | 0.00550354i | ||||
\(800\) | −3.11761e9 | − | 2.26508e9i | −0.215282 | − | 0.156411i | ||||
\(801\) | −2.06122e9 | − | 6.34378e9i | −0.141713 | − | 0.436148i | ||||
\(802\) | 1.85343e10 | 1.26872 | ||||||||
\(803\) | 1.91006e10 | + | 1.65335e9i | 1.30180 | + | 0.112683i | ||||
\(804\) | 5.99822e8 | 0.0407030 | ||||||||
\(805\) | 5.99250e9 | + | 1.84430e10i | 0.404877 | + | 1.24608i | ||||
\(806\) | 1.49226e9 | + | 1.08419e9i | 0.100386 | + | 0.0729347i | ||||
\(807\) | −7.33283e9 | + | 5.32761e9i | −0.491150 | + | 0.356841i | ||||
\(808\) | −2.46525e9 | + | 7.58726e9i | −0.164407 | + | 0.505994i | ||||
\(809\) | −3.78523e9 | + | 1.16497e10i | −0.251346 | + | 0.773565i | 0.743181 | + | 0.669090i | \(0.233316\pi\) |
−0.994528 | + | 0.104474i | \(0.966684\pi\) | |||||||
\(810\) | −8.12372e8 | + | 5.90223e8i | −0.0537103 | + | 0.0390228i | ||||
\(811\) | −1.06911e10 | − | 7.76757e9i | −0.703803 | − | 0.511343i | 0.177366 | − | 0.984145i | \(-0.443242\pi\) |
−0.881169 | + | 0.472802i | \(0.843242\pi\) | |||||||
\(812\) | −9.20821e8 | − | 2.83400e9i | −0.0603572 | − | 0.185760i | ||||
\(813\) | −1.56112e10 | −1.01887 | ||||||||
\(814\) | 5.08843e9 | + | 2.19481e10i | 0.330673 | + | 1.42630i | ||||
\(815\) | 1.11690e10 | 0.722709 | ||||||||
\(816\) | −7.06649e8 | − | 2.17484e9i | −0.0455290 | − | 0.140124i | ||||
\(817\) | 5.98562e9 | + | 4.34881e9i | 0.384001 | + | 0.278993i | ||||
\(818\) | −1.32826e10 | + | 9.65036e9i | −0.848488 | + | 0.616463i | ||||
\(819\) | 1.09732e9 | − | 3.37721e9i | 0.0697976 | − | 0.214815i | ||||
\(820\) | 7.05229e8 | − | 2.17047e9i | 0.0446665 | − | 0.137469i | ||||
\(821\) | 1.34774e10 | − | 9.79194e9i | 0.849976 | − | 0.617544i | −0.0751634 | − | 0.997171i | \(-0.523948\pi\) |
0.925139 | + | 0.379628i | \(0.123948\pi\) | |||||||
\(822\) | −1.02495e9 | − | 7.44673e8i | −0.0643655 | − | 0.0467643i | ||||
\(823\) | 4.99756e9 | + | 1.53809e10i | 0.312506 | + | 0.961795i | 0.976769 | + | 0.214296i | \(0.0687456\pi\) |
−0.664263 | + | 0.747499i | \(0.731254\pi\) | |||||||
\(824\) | 1.96954e10 | 1.22637 | ||||||||
\(825\) | 1.86104e9 | − | 4.39560e9i | 0.115390 | − | 0.272539i | ||||
\(826\) | −2.44928e9 | −0.151220 | ||||||||
\(827\) | 7.60634e8 | + | 2.34099e9i | 0.0467635 | + | 0.143923i | 0.971712 | − | 0.236170i | \(-0.0758921\pi\) |
−0.924948 | + | 0.380093i | \(0.875892\pi\) | |||||||
\(828\) | −2.12041e9 | − | 1.54057e9i | −0.129812 | − | 0.0943136i | ||||
\(829\) | 9.11368e9 | − | 6.62148e9i | 0.555588 | − | 0.403658i | −0.274254 | − | 0.961657i | \(-0.588431\pi\) |
0.829842 | + | 0.557999i | \(0.188431\pi\) | |||||||
\(830\) | 8.95120e8 | − | 2.75490e9i | 0.0543386 | − | 0.167237i | ||||
\(831\) | −1.42602e9 | + | 4.38883e9i | −0.0862027 | + | 0.265305i | ||||
\(832\) | −9.65155e9 | + | 7.01226e9i | −0.580986 | + | 0.422111i | ||||
\(833\) | −4.56398e8 | − | 3.31593e8i | −0.0273581 | − | 0.0198768i | ||||
\(834\) | 1.60780e9 | + | 4.94829e9i | 0.0959733 | + | 0.295375i | ||||
\(835\) | −7.43580e9 | −0.442003 | ||||||||
\(836\) | 6.13727e9 | + | 5.32512e9i | 0.363290 | + | 0.315216i | ||||
\(837\) | 7.28480e8 | 0.0429416 | ||||||||
\(838\) | 7.97582e9 | + | 2.45470e10i | 0.468189 | + | 1.44094i | ||||
\(839\) | 1.09654e10 | + | 7.96684e9i | 0.641000 | + | 0.465714i | 0.860194 | − | 0.509967i | \(-0.170343\pi\) |
−0.219193 | + | 0.975681i | \(0.570343\pi\) | |||||||
\(840\) | 6.33713e9 | − | 4.60419e9i | 0.368905 | − | 0.268025i | ||||
\(841\) | −2.71719e9 | + | 8.36266e9i | −0.157520 | + | 0.484796i | ||||
\(842\) | 6.47666e9 | − | 1.99331e10i | 0.373903 | − | 1.15075i | ||||
\(843\) | 8.53671e9 | − | 6.20228e9i | 0.490788 | − | 0.356578i | ||||
\(844\) | 4.00614e9 | + | 2.91063e9i | 0.229365 | + | 0.166644i | ||||
\(845\) | 2.18630e9 | + | 6.72875e9i | 0.124656 | + | 0.383650i | ||||
\(846\) | −1.21848e8 | −0.00691864 | ||||||||
\(847\) | −1.28358e10 | − | 1.32429e10i | −0.725823 | − | 0.748844i | ||||
\(848\) | −1.35131e10 | −0.760972 | ||||||||
\(849\) | −3.87460e9 | − | 1.19248e10i | −0.217295 | − | 0.668766i | ||||
\(850\) | −2.45366e9 | − | 1.78269e9i | −0.137040 | − | 0.0995656i | ||||
\(851\) | 4.47772e10 | − | 3.25325e10i | 2.49060 | − | 1.80953i | ||||
\(852\) | −1.22288e9 | + | 3.76365e9i | −0.0677403 | + | 0.208483i | ||||
\(853\) | −4.18132e8 | + | 1.28688e9i | −0.0230670 | + | 0.0709930i | −0.961927 | − | 0.273305i | \(-0.911883\pi\) |
0.938860 | + | 0.344298i | \(0.111883\pi\) | |||||||
\(854\) | −1.57543e10 | + | 1.14461e10i | −0.865557 | + | 0.628864i | ||||
\(855\) | −6.18693e9 | − | 4.49506e9i | −0.338527 | − | 0.245954i | ||||
\(856\) | −1.01805e10 | − | 3.13324e10i | −0.554768 | − | 1.70740i | ||||
\(857\) | −1.47329e10 | −0.799569 | −0.399784 | − | 0.916609i | \(-0.630915\pi\) | ||||
−0.399784 | + | 0.916609i | \(0.630915\pi\) | |||||||
\(858\) | −4.48670e9 | − | 3.89298e9i | −0.242506 | − | 0.210415i | ||||
\(859\) | 5.80384e9 | 0.312420 | 0.156210 | − | 0.987724i | \(-0.450072\pi\) | ||||
0.156210 | + | 0.987724i | \(0.450072\pi\) | |||||||
\(860\) | 2.84130e8 | + | 8.74462e8i | 0.0152325 | + | 0.0468810i | ||||
\(861\) | −7.06157e9 | − | 5.13053e9i | −0.377042 | − | 0.273937i | ||||
\(862\) | 1.49842e10 | − | 1.08867e10i | 0.796817 | − | 0.578921i | ||||
\(863\) | 1.92933e9 | − | 5.93788e9i | 0.102181 | − | 0.314480i | −0.886878 | − | 0.462004i | \(-0.847130\pi\) |
0.989058 | + | 0.147524i | \(0.0471304\pi\) | |||||||
\(864\) | −5.85268e8 | + | 1.80127e9i | −0.0308714 | + | 0.0950124i | ||||
\(865\) | 2.78553e9 | − | 2.02381e9i | 0.146336 | − | 0.106319i | ||||
\(866\) | −8.85607e9 | − | 6.43431e9i | −0.463371 | − | 0.336658i | ||||
\(867\) | −2.91330e9 | − | 8.96620e9i | −0.151816 | − | 0.467242i | ||||
\(868\) | −1.19926e9 | −0.0622438 | ||||||||
\(869\) | 8.77673e9 | − | 2.07298e10i | 0.453694 | − | 1.07158i | ||||
\(870\) | 4.69149e9 | 0.241542 | ||||||||
\(871\) | −1.03199e9 | − | 3.17615e9i | −0.0529192 | − | 0.162868i | ||||
\(872\) | −1.00511e10 | − | 7.30256e9i | −0.513342 | − | 0.372965i | ||||
\(873\) | 1.94638e9 | − | 1.41413e9i | 0.0990099 | − | 0.0719349i | ||||
\(874\) | −1.68918e10 | + | 5.19876e10i | −0.855827 | + | 2.63396i | ||||
\(875\) | 6.74383e9 | − | 2.07554e10i | 0.340313 | − | 1.04738i | ||||
\(876\) | −3.24810e9 | + | 2.35988e9i | −0.163254 | + | 0.118611i | ||||
\(877\) | −7.64246e9 | − | 5.55257e9i | −0.382591 | − | 0.277968i | 0.379822 | − | 0.925060i | \(-0.375985\pi\) |
−0.762413 | + | 0.647091i | \(0.775985\pi\) | |||||||
\(878\) | 5.63354e9 | + | 1.73383e10i | 0.280899 | + | 0.864520i | ||||
\(879\) | 1.54369e10 | 0.766652 | ||||||||
\(880\) | −2.10678e9 | − | 9.08725e9i | −0.104215 | − | 0.449514i | ||||
\(881\) | −8.20512e9 | −0.404268 | −0.202134 | − | 0.979358i | \(-0.564788\pi\) | ||||
−0.202134 | + | 0.979358i | \(0.564788\pi\) | |||||||
\(882\) | −1.57343e8 | − | 4.84253e8i | −0.00772161 | − | 0.0237647i | ||||
\(883\) | −3.60929e9 | − | 2.62231e9i | −0.176425 | − | 0.128180i | 0.496068 | − | 0.868284i | \(-0.334777\pi\) |
−0.672493 | + | 0.740103i | \(0.734777\pi\) | |||||||
\(884\) | 1.11501e9 | − | 8.10106e8i | 0.0542872 | − | 0.0394420i | ||||
\(885\) | −4.35138e8 | + | 1.33922e9i | −0.0211021 | + | 0.0649456i | ||||
\(886\) | 7.10374e9 | − | 2.18631e10i | 0.343138 | − | 1.05607i | ||||
\(887\) | −1.73009e10 | + | 1.25698e10i | −0.832406 | + | 0.604779i | −0.920239 | − | 0.391357i | \(-0.872006\pi\) |
0.0878328 | + | 0.996135i | \(0.472006\pi\) | |||||||
\(888\) | −1.80870e10 | − | 1.31410e10i | −0.866803 | − | 0.629769i | ||||
\(889\) | 1.09515e10 | + | 3.37053e10i | 0.522778 | + | 1.60895i | ||||
\(890\) | −1.72885e10 | −0.822037 | ||||||||
\(891\) | −2.33727e9 | − | 2.02314e8i | −0.110697 | − | 0.00958193i | ||||
\(892\) | −9.77924e9 | −0.461347 | ||||||||
\(893\) | −2.86760e8 | − | 8.82558e8i | −0.0134753 | − | 0.0414728i | ||||
\(894\) | 1.02171e9 | + | 7.42319e8i | 0.0478242 | + | 0.0347463i | ||||
\(895\) | −5.86163e9 | + | 4.25872e9i | −0.273299 | + | 0.198563i | ||||
\(896\) | −2.96184e9 | + | 9.11560e9i | −0.137557 | + | 0.423358i | ||||
\(897\) | −4.50938e9 | + | 1.38784e10i | −0.208614 | + | 0.642047i | ||||
\(898\) | −9.56526e9 | + | 6.94957e9i | −0.440788 | + | 0.320251i | ||||
\(899\) | −2.75352e9 | − | 2.00055e9i | −0.126395 | − | 0.0918313i | ||||
\(900\) | 3.08892e8 | + | 9.50673e8i | 0.0141240 | + | 0.0434693i | ||||
\(901\) | 9.75928e9 | 0.444509 | ||||||||
\(902\) | −1.25088e10 | + | 7.53176e9i | −0.567536 | + | 0.341722i | ||||
\(903\) | 3.51666e9 | 0.158936 | ||||||||
\(904\) | −6.48962e9 | − | 1.99730e10i | −0.292166 | − | 0.899194i | ||||
\(905\) | −1.50348e10 | − | 1.09234e10i | −0.674260 | − | 0.489879i | ||||
\(906\) | −1.30513e10 | + | 9.48230e9i | −0.583047 | + | 0.423609i | ||||
\(907\) | 6.33470e9 | − | 1.94962e10i | 0.281904 | − | 0.867610i | −0.705406 | − | 0.708803i | \(-0.749235\pi\) |
0.987310 | − | 0.158807i | \(-0.0507646\pi\) | |||||||
\(908\) | 2.97135e9 | − | 9.14486e9i | 0.131720 | − | 0.405393i | ||||
\(909\) | 2.99501e9 | − | 2.17600e9i | 0.132259 | − | 0.0960915i | ||||
\(910\) | −7.44602e9 | − | 5.40985e9i | −0.327551 | − | 0.237980i | ||||
\(911\) | 3.91851e9 | + | 1.20599e10i | 0.171714 | + | 0.528482i | 0.999468 | − | 0.0326090i | \(-0.0103816\pi\) |
−0.827754 | + | 0.561091i | \(0.810382\pi\) | |||||||
\(912\) | 1.57189e10 | 0.686181 | ||||||||
\(913\) | 5.79770e9 | − | 3.49089e9i | 0.252121 | − | 0.151806i | ||||
\(914\) | 2.91126e10 | 1.26116 | ||||||||
\(915\) | 3.45962e9 | + | 1.06476e10i | 0.149298 | + | 0.459493i | ||||
\(916\) | −6.82707e9 | − | 4.96016e9i | −0.293495 | − | 0.213236i | ||||
\(917\) | −1.26218e10 | + | 9.17024e9i | −0.540539 | + | 0.392725i | ||||
\(918\) | −4.60624e8 | + | 1.41765e9i | −0.0196516 | + | 0.0604813i | ||||
\(919\) | 4.36064e9 | − | 1.34207e10i | 0.185330 | − | 0.570388i | −0.814624 | − | 0.579990i | \(-0.803056\pi\) |
0.999954 | + | 0.00960201i | \(0.00305646\pi\) | |||||||
\(920\) | −2.60420e10 | + | 1.89206e10i | −1.10260 | + | 0.801085i | ||||
\(921\) | −1.21358e10 | − | 8.81714e9i | −0.511868 | − | 0.371894i | ||||
\(922\) | −5.49231e8 | − | 1.69036e9i | −0.0230779 | − | 0.0710266i | ||||
\(923\) | 2.20331e10 | 0.922293 | ||||||||
\(924\) | 3.84774e9 | + | 3.33060e8i | 0.160455 | + | 0.0138890i | ||||
\(925\) | −2.11087e10 | −0.876932 | ||||||||
\(926\) | −5.26280e9 | − | 1.61972e10i | −0.217810 | − | 0.670352i | ||||
\(927\) | −7.39409e9 | − | 5.37212e9i | −0.304863 | − | 0.221496i | ||||
\(928\) | 7.15884e9 | − | 5.20120e9i | 0.294052 | − | 0.213642i | ||||
\(929\) | 3.58714e9 | − | 1.10401e10i | 0.146789 | − | 0.451770i | −0.850448 | − | 0.526060i | \(-0.823669\pi\) |
0.997237 | + | 0.0742895i | \(0.0236689\pi\) | |||||||
\(930\) | 5.83465e8 | − | 1.79572e9i | 0.0237862 | − | 0.0732063i | ||||
\(931\) | 3.13721e9 | − | 2.27932e9i | 0.127415 | − | 0.0925722i | ||||
\(932\) | 7.22094e8 | + | 5.24632e8i | 0.0292172 | + | 0.0212275i | ||||
\(933\) | −6.43057e8 | − | 1.97913e9i | −0.0259217 | − | 0.0797789i | ||||
\(934\) | −3.76452e10 | −1.51180 | ||||||||
\(935\) | 1.52154e9 | + | 6.56290e9i | 0.0608755 | + | 0.262576i | ||||
\(936\) | 5.89444e9 | 0.234951 | ||||||||
\(937\) | 2.19605e9 | + | 6.75876e9i | 0.0872076 | + | 0.268397i | 0.985145 | − | 0.171726i | \(-0.0549345\pi\) |
−0.897937 | + | 0.440124i | \(0.854935\pi\) | |||||||
\(938\) | −4.81050e9 | − | 3.49503e9i | −0.190318 | − | 0.138274i | ||||
\(939\) | 5.93648e9 | − | 4.31311e9i | 0.233991 | − | 0.170005i | ||||
\(940\) | 3.56371e7 | − | 1.09680e8i | 0.00139944 | − | 0.00430704i | ||||
\(941\) | −1.09078e10 | + | 3.35707e10i | −0.426749 | + | 1.31340i | 0.474561 | + | 0.880223i | \(0.342607\pi\) |
−0.901310 | + | 0.433175i | \(0.857393\pi\) | |||||||
\(942\) | −1.98843e9 | + | 1.44468e9i | −0.0775056 | + | 0.0563111i | ||||
\(943\) | 2.90191e10 | + | 2.10836e10i | 1.12692 | + | 0.818754i | ||||
\(944\) | −8.94397e8 | − | 2.75267e9i | −0.0346042 | − | 0.106501i | ||||
\(945\) | −3.63493e9 | −0.140115 | ||||||||
\(946\) | 2.29357e9 | − | 5.41719e9i | 0.0880832 | − | 0.208044i | ||||
\(947\) | 5.02190e10 | 1.92151 | 0.960755 | − | 0.277397i | \(-0.0894717\pi\) | ||||
0.960755 | + | 0.277397i | \(0.0894717\pi\) | |||||||
\(948\) | 1.45675e9 | + | 4.48340e9i | 0.0555335 | + | 0.170914i | ||||
\(949\) | 1.80843e10 | + | 1.31390e10i | 0.686862 | + | 0.499034i | ||||
\(950\) | 1.68661e10 | − | 1.22539e10i | 0.638236 | − | 0.463706i | ||||
\(951\) | 6.92482e8 | − | 2.13124e9i | 0.0261082 | − | 0.0803527i | ||||
\(952\) | 3.59322e9 | − | 1.10588e10i | 0.134975 | − | 0.415412i | ||||
\(953\) | 1.30879e9 | − | 9.50891e8i | 0.0489829 | − | 0.0355882i | −0.563024 | − | 0.826440i | \(-0.690362\pi\) |
0.612007 | + | 0.790852i | \(0.290362\pi\) | |||||||
\(954\) | 7.12615e9 | + | 5.17745e9i | 0.265727 | + | 0.193062i | ||||
\(955\) | 2.67504e9 | + | 8.23292e9i | 0.0993844 | + | 0.305874i | ||||
\(956\) | −3.10832e9 | −0.115060 | ||||||||
\(957\) | 8.27885e9 | + | 7.18331e9i | 0.305336 | + | 0.264931i | ||||
\(958\) | 1.24765e10 | 0.458473 | ||||||||
\(959\) | −1.41719e9 | − | 4.36166e9i | −0.0518876 | − | 0.159693i | ||||
\(960\) | 9.87965e9 | + | 7.17799e9i | 0.360406 | + | 0.261850i | ||||
\(961\) | 2.11500e10 | − | 1.53664e10i | 0.768738 | − | 0.558521i | ||||
\(962\) | −8.11750e9 | + | 2.49831e10i | −0.293974 | + | 0.904760i | ||||
\(963\) | −4.72423e9 | + | 1.45397e10i | −0.170466 | + | 0.524642i | ||||
\(964\) | −8.98383e9 | + | 6.52714e9i | −0.322992 | + | 0.234668i | ||||
\(965\) | −1.44312e10 | − | 1.04848e10i | −0.516958 | − | 0.375592i | ||||
\(966\) | 8.02888e9 | + | 2.47103e10i | 0.286573 | + | 0.881980i | ||||
\(967\) | 2.91077e10 | 1.03518 | 0.517589 | − | 0.855629i | \(-0.326830\pi\) | ||||
0.517589 | + | 0.855629i | \(0.326830\pi\) | |||||||
\(968\) | 1.43224e10 | − | 2.70567e10i | 0.507518 | − | 0.958762i | ||||
\(969\) | −1.13523e10 | −0.400821 | ||||||||
\(970\) | −1.92694e9 | − | 5.93051e9i | −0.0677902 | − | 0.208637i | ||||
\(971\) | −1.82314e10 | − | 1.32459e10i | −0.639076 | − | 0.464316i | 0.220457 | − | 0.975397i | \(-0.429245\pi\) |
−0.859533 | + | 0.511081i | \(0.829245\pi\) | |||||||
\(972\) | 3.97457e8 | − | 2.88769e8i | 0.0138822 | − | 0.0100860i | ||||
\(973\) | −5.82010e9 | + | 1.79124e10i | −0.202552 | + | 0.623389i | ||||
\(974\) | −1.10533e10 | + | 3.40186e10i | −0.383298 | + | 1.17967i | ||||
\(975\) | 4.50251e9 | − | 3.27126e9i | 0.155574 | − | 0.113031i | ||||
\(976\) | −1.86169e10 | − | 1.35260e10i | −0.640963 | − | 0.465687i | ||||
\(977\) | 1.48822e10 | + | 4.58028e10i | 0.510549 | + | 1.57131i | 0.791237 | + | 0.611509i | \(0.209437\pi\) |
−0.280689 | + | 0.959799i | \(0.590563\pi\) | |||||||
\(978\) | 1.49645e10 | 0.511535 | ||||||||
\(979\) | −3.05082e10 | − | 2.64710e10i | −1.03915 | − | 0.901635i | ||||
\(980\) | 4.81913e8 | 0.0163560 | ||||||||
\(981\) | 1.78156e9 | + | 5.48308e9i | 0.0602503 | + | 0.185431i | ||||
\(982\) | 1.10284e10 | + | 8.01260e9i | 0.371640 | + | 0.270012i | ||||
\(983\) | 2.12281e8 | − | 1.54231e8i | 0.00712810 | − | 0.00517887i | −0.584216 | − | 0.811599i | \(-0.698598\pi\) |
0.591344 | + | 0.806420i | \(0.298598\pi\) | |||||||
\(984\) | 4.47731e9 | − | 1.37797e10i | 0.149808 | − | 0.461060i | ||||
\(985\) | 6.46947e9 | − | 1.99110e10i | 0.215696 | − | 0.663844i | ||||
\(986\) | 5.63423e9 | − | 4.09351e9i | 0.187183 | − | 0.135996i | ||||
\(987\) | −3.56840e8 | − | 2.59259e8i | −0.0118131 | − | 0.00858271i | ||||
\(988\) | 2.92755e9 | + | 9.01008e9i | 0.0965730 | + | 0.297221i | ||||
\(989\) | −1.44515e10 | −0.475035 | ||||||||
\(990\) | −2.37071e9 | + | 5.59938e9i | −0.0776524 | + | 0.183407i | ||||
\(991\) | −1.46660e10 | −0.478688 | −0.239344 | − | 0.970935i | \(-0.576932\pi\) | ||||
−0.239344 | + | 0.970935i | \(0.576932\pi\) | |||||||
\(992\) | −1.10050e9 | − | 3.38699e9i | −0.0357931 | − | 0.110160i | ||||
\(993\) | 8.32055e9 | + | 6.04523e9i | 0.269668 | + | 0.195925i | ||||
\(994\) | 3.17374e10 | − | 2.30586e10i | 1.02499 | − | 0.744697i | ||||
\(995\) | 6.25307e9 | − | 1.92450e10i | 0.201239 | − | 0.619351i | ||||
\(996\) | −4.37942e8 | + | 1.34785e9i | −0.0140446 | + | 0.0432248i | ||||
\(997\) | −1.51854e10 | + | 1.10328e10i | −0.485281 | + | 0.352577i | −0.803367 | − | 0.595485i | \(-0.796960\pi\) |
0.318086 | + | 0.948062i | \(0.396960\pi\) | |||||||
\(998\) | 5.15417e9 | + | 3.74472e9i | 0.164135 | + | 0.119251i | ||||
\(999\) | 3.20591e9 | + | 9.86679e9i | 0.101736 | + | 0.313110i |
(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 | 33.8.e.b.16.3 | ✓ | 28 | |
3.2 | odd | 2 | 99.8.f.b.82.5 | 28 | |||
11.3 | even | 5 | 363.8.a.o.1.5 | 14 | |||
11.8 | odd | 10 | 363.8.a.r.1.10 | 14 | |||
11.9 | even | 5 | inner | 33.8.e.b.31.3 | yes | 28 | |
33.20 | odd | 10 | 99.8.f.b.64.5 | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
33.8.e.b.16.3 | ✓ | 28 | 1.1 | even | 1 | trivial | |
33.8.e.b.31.3 | yes | 28 | 11.9 | even | 5 | inner | |
99.8.f.b.64.5 | 28 | 33.20 | odd | 10 | |||
99.8.f.b.82.5 | 28 | 3.2 | odd | 2 | |||
363.8.a.o.1.5 | 14 | 11.3 | even | 5 | |||
363.8.a.r.1.10 | 14 | 11.8 | odd | 10 |