Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [60,6,Mod(59,60)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(60, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("60.59");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 60 = 2^{2} \cdot 3 \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 60.h (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.62302918878\) |
Analytic rank: | \(0\) |
Dimension: | \(48\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 59.15 | ||
Character | \(\chi\) | \(=\) | 60.59 |
Dual form | 60.6.h.c.59.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/60\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(41\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −3.28930 | + | 4.60223i | −0.581472 | + | 0.813566i | ||||
\(3\) | −3.33289 | − | 15.2280i | −0.213805 | − | 0.976876i | ||||
\(4\) | −10.3610 | − | 30.2762i | −0.323780 | − | 0.946132i | ||||
\(5\) | −17.3746 | − | 53.1331i | −0.310807 | − | 0.950473i | ||||
\(6\) | 81.0456 | + | 34.7508i | 0.919075 | + | 0.394082i | ||||
\(7\) | −121.108 | −0.934172 | −0.467086 | − | 0.884212i | \(-0.654696\pi\) | ||||
−0.467086 | + | 0.884212i | \(0.654696\pi\) | |||||||
\(8\) | 173.418 | + | 51.9042i | 0.958011 | + | 0.286733i | ||||
\(9\) | −220.784 | + | 101.506i | −0.908575 | + | 0.417722i | ||||
\(10\) | 301.681 | + | 94.8087i | 0.953998 | + | 0.299811i | ||||
\(11\) | 442.039 | 1.10149 | 0.550743 | − | 0.834675i | \(-0.314345\pi\) | ||||
0.550743 | + | 0.834675i | \(0.314345\pi\) | |||||||
\(12\) | −426.514 | + | 258.684i | −0.855028 | + | 0.518581i | ||||
\(13\) | 1183.35i | 1.94202i | 0.239032 | + | 0.971012i | \(0.423170\pi\) | ||||
−0.239032 | + | 0.971012i | \(0.576830\pi\) | |||||||
\(14\) | 398.360 | − | 557.365i | 0.543195 | − | 0.760011i | ||||
\(15\) | −751.202 | + | 441.668i | −0.862043 | + | 0.506836i | ||||
\(16\) | −809.301 | + | 627.382i | −0.790333 | + | 0.612678i | ||||
\(17\) | −1031.92 | −0.866014 | −0.433007 | − | 0.901391i | \(-0.642547\pi\) | ||||
−0.433007 | + | 0.901391i | \(0.642547\pi\) | |||||||
\(18\) | 259.069 | − | 1349.98i | 0.188466 | − | 0.982080i | ||||
\(19\) | − | 1292.69i | − | 0.821506i | −0.911747 | − | 0.410753i | \(-0.865266\pi\) | ||
0.911747 | − | 0.410753i | \(-0.134734\pi\) | |||||||
\(20\) | −1428.65 | + | 1076.55i | −0.798640 | + | 0.601809i | ||||
\(21\) | 403.639 | + | 1844.23i | 0.199731 | + | 0.912571i | ||||
\(22\) | −1454.00 | + | 2034.36i | −0.640483 | + | 0.896131i | ||||
\(23\) | − | 2193.11i | − | 0.864454i | −0.901765 | − | 0.432227i | \(-0.857728\pi\) | ||
0.901765 | − | 0.432227i | \(-0.142272\pi\) | |||||||
\(24\) | 212.412 | − | 2813.81i | 0.0752751 | − | 0.997163i | ||||
\(25\) | −2521.24 | + | 1846.34i | −0.806798 | + | 0.590828i | ||||
\(26\) | −5446.04 | − | 3892.39i | −1.57996 | − | 1.12923i | ||||
\(27\) | 2281.59 | + | 3023.78i | 0.602321 | + | 0.798254i | ||||
\(28\) | 1254.79 | + | 3666.69i | 0.302467 | + | 0.883850i | ||||
\(29\) | 4786.72i | 1.05692i | 0.848957 | + | 0.528462i | \(0.177231\pi\) | ||||
−0.848957 | + | 0.528462i | \(0.822769\pi\) | |||||||
\(30\) | 438.277 | − | 4909.98i | 0.0889090 | − | 0.996040i | ||||
\(31\) | 6536.74i | 1.22168i | 0.791754 | + | 0.610840i | \(0.209168\pi\) | ||||
−0.791754 | + | 0.610840i | \(0.790832\pi\) | |||||||
\(32\) | −225.320 | − | 5788.23i | −0.0388977 | − | 0.999243i | ||||
\(33\) | −1473.27 | − | 6731.36i | −0.235503 | − | 1.07601i | ||||
\(34\) | 3394.31 | − | 4749.14i | 0.503563 | − | 0.704560i | ||||
\(35\) | 2104.20 | + | 6434.83i | 0.290347 | + | 0.887905i | ||||
\(36\) | 5360.77 | + | 5632.79i | 0.689399 | + | 0.724382i | ||||
\(37\) | − | 4285.04i | − | 0.514577i | −0.966335 | − | 0.257289i | \(-0.917171\pi\) | ||
0.966335 | − | 0.257289i | \(-0.0828291\pi\) | |||||||
\(38\) | 5949.26 | + | 4252.05i | 0.668350 | + | 0.477683i | ||||
\(39\) | 18020.0 | − | 3943.97i | 1.89712 | − | 0.415214i | ||||
\(40\) | −255.255 | − | 10116.1i | −0.0252246 | − | 0.999682i | ||||
\(41\) | 7103.64i | 0.659966i | 0.943987 | + | 0.329983i | \(0.107043\pi\) | ||||
−0.943987 | + | 0.329983i | \(0.892957\pi\) | |||||||
\(42\) | −9815.25 | − | 4208.59i | −0.858575 | − | 0.368140i | ||||
\(43\) | 194.861 | 0.0160714 | 0.00803571 | − | 0.999968i | \(-0.497442\pi\) | ||||
0.00803571 | + | 0.999968i | \(0.497442\pi\) | |||||||
\(44\) | −4579.95 | − | 13383.3i | −0.356639 | − | 1.04215i | ||||
\(45\) | 9229.39 | + | 9967.27i | 0.679425 | + | 0.733745i | ||||
\(46\) | 10093.2 | + | 7213.82i | 0.703290 | + | 0.502656i | ||||
\(47\) | − | 5085.39i | − | 0.335799i | −0.985804 | − | 0.167900i | \(-0.946302\pi\) | ||
0.985804 | − | 0.167900i | \(-0.0536985\pi\) | |||||||
\(48\) | 12251.1 | + | 10233.0i | 0.767488 | + | 0.641064i | ||||
\(49\) | −2139.91 | −0.127322 | ||||||||
\(50\) | −204.121 | − | 17676.5i | −0.0115468 | − | 0.999933i | ||||
\(51\) | 3439.28 | + | 15714.1i | 0.185158 | + | 0.845988i | ||||
\(52\) | 35827.3 | − | 12260.6i | 1.83741 | − | 0.628789i | ||||
\(53\) | −15284.7 | −0.747426 | −0.373713 | − | 0.927544i | \(-0.621916\pi\) | ||||
−0.373713 | + | 0.927544i | \(0.621916\pi\) | |||||||
\(54\) | −21421.0 | + | 554.244i | −0.999665 | + | 0.0258652i | ||||
\(55\) | −7680.27 | − | 23486.9i | −0.342349 | − | 1.04693i | ||||
\(56\) | −21002.3 | − | 6286.00i | −0.894947 | − | 0.267858i | ||||
\(57\) | −19685.1 | + | 4308.40i | −0.802510 | + | 0.175642i | ||||
\(58\) | −22029.6 | − | 15745.0i | −0.859877 | − | 0.614571i | ||||
\(59\) | −33964.5 | −1.27027 | −0.635133 | − | 0.772402i | \(-0.719055\pi\) | ||||
−0.635133 | + | 0.772402i | \(0.719055\pi\) | |||||||
\(60\) | 21155.2 | + | 18167.5i | 0.758646 | + | 0.651503i | ||||
\(61\) | 2293.47 | 0.0789165 | 0.0394583 | − | 0.999221i | \(-0.487437\pi\) | ||||
0.0394583 | + | 0.999221i | \(0.487437\pi\) | |||||||
\(62\) | −30083.6 | − | 21501.3i | −0.993917 | − | 0.710372i | ||||
\(63\) | 26738.6 | − | 12293.2i | 0.848765 | − | 0.390224i | ||||
\(64\) | 27379.9 | + | 18002.3i | 0.835569 | + | 0.549386i | ||||
\(65\) | 62874.9 | − | 20560.3i | 1.84584 | − | 0.603595i | ||||
\(66\) | 35825.3 | + | 15361.2i | 1.01235 | + | 0.434075i | ||||
\(67\) | −43903.6 | −1.19485 | −0.597425 | − | 0.801925i | \(-0.703809\pi\) | ||||
−0.597425 | + | 0.801925i | \(0.703809\pi\) | |||||||
\(68\) | 10691.7 | + | 31242.7i | 0.280398 | + | 0.819364i | ||||
\(69\) | −33396.7 | + | 7309.41i | −0.844464 | + | 0.184825i | ||||
\(70\) | −36535.9 | − | 11482.1i | −0.891199 | − | 0.280075i | ||||
\(71\) | −9415.84 | −0.221673 | −0.110837 | − | 0.993839i | \(-0.535353\pi\) | ||||
−0.110837 | + | 0.993839i | \(0.535353\pi\) | |||||||
\(72\) | −43556.6 | + | 6143.50i | −0.990199 | + | 0.139664i | ||||
\(73\) | 12782.0i | 0.280731i | 0.990100 | + | 0.140365i | \(0.0448278\pi\) | ||||
−0.990100 | + | 0.140365i | \(0.955172\pi\) | |||||||
\(74\) | 19720.7 | + | 14094.8i | 0.418643 | + | 0.299212i | ||||
\(75\) | 36519.0 | + | 32239.8i | 0.749663 | + | 0.661820i | ||||
\(76\) | −39137.8 | + | 13393.5i | −0.777253 | + | 0.265987i | ||||
\(77\) | −53534.3 | −1.02898 | ||||||||
\(78\) | −41122.3 | + | 95905.2i | −0.765316 | + | 1.78487i | ||||
\(79\) | 63342.1i | 1.14189i | 0.820988 | + | 0.570946i | \(0.193423\pi\) | ||||
−0.820988 | + | 0.570946i | \(0.806577\pi\) | |||||||
\(80\) | 47396.0 | + | 32100.1i | 0.827975 | + | 0.560765i | ||||
\(81\) | 38441.9 | − | 44821.9i | 0.651016 | − | 0.759064i | ||||
\(82\) | −32692.6 | − | 23366.0i | −0.536926 | − | 0.383752i | ||||
\(83\) | − | 37815.3i | − | 0.602521i | −0.953542 | − | 0.301260i | \(-0.902593\pi\) | ||
0.953542 | − | 0.301260i | \(-0.0974073\pi\) | |||||||
\(84\) | 51654.2 | − | 31328.7i | 0.798744 | − | 0.484444i | ||||
\(85\) | 17929.3 | + | 54829.2i | 0.269163 | + | 0.823123i | ||||
\(86\) | −640.958 | + | 896.795i | −0.00934508 | + | 0.0130752i | ||||
\(87\) | 72892.2 | − | 15953.6i | 1.03248 | − | 0.225975i | ||||
\(88\) | 76657.7 | + | 22943.7i | 1.05523 | + | 0.315832i | ||||
\(89\) | − | 110770.i | − | 1.48234i | −0.671316 | − | 0.741171i | \(-0.734271\pi\) | ||
0.671316 | − | 0.741171i | \(-0.265729\pi\) | |||||||
\(90\) | −76229.9 | + | 9690.34i | −0.992017 | + | 0.126105i | ||||
\(91\) | − | 143313.i | − | 1.81418i | ||||||
\(92\) | −66399.2 | + | 22722.8i | −0.817887 | + | 0.279893i | ||||
\(93\) | 99541.5 | − | 21786.2i | 1.19343 | − | 0.261201i | ||||
\(94\) | 23404.1 | + | 16727.4i | 0.273195 | + | 0.195258i | ||||
\(95\) | −68684.6 | + | 22460.0i | −0.780819 | + | 0.255330i | ||||
\(96\) | −87392.2 | + | 22722.7i | −0.967821 | + | 0.251641i | ||||
\(97\) | 57206.3i | 0.617325i | 0.951172 | + | 0.308663i | \(0.0998814\pi\) | ||||
−0.951172 | + | 0.308663i | \(0.900119\pi\) | |||||||
\(98\) | 7038.80 | − | 9848.33i | 0.0740344 | − | 0.103585i | ||||
\(99\) | −97595.0 | + | 44869.8i | −1.00078 | + | 0.460115i | ||||
\(100\) | 82022.6 | + | 57203.9i | 0.820226 | + | 0.572039i | ||||
\(101\) | 6462.78i | 0.0630400i | 0.999503 | + | 0.0315200i | \(0.0100348\pi\) | ||||
−0.999503 | + | 0.0315200i | \(0.989965\pi\) | |||||||
\(102\) | −83632.7 | − | 35860.1i | −0.795932 | − | 0.341280i | ||||
\(103\) | −89277.9 | −0.829184 | −0.414592 | − | 0.910007i | \(-0.636076\pi\) | ||||
−0.414592 | + | 0.910007i | \(0.636076\pi\) | |||||||
\(104\) | −61420.8 | + | 205215.i | −0.556842 | + | 1.86048i | ||||
\(105\) | 90976.4 | − | 53489.4i | 0.805296 | − | 0.473472i | ||||
\(106\) | 50276.1 | − | 70343.8i | 0.434607 | − | 0.608081i | ||||
\(107\) | − | 64391.3i | − | 0.543710i | −0.962338 | − | 0.271855i | \(-0.912363\pi\) | ||
0.962338 | − | 0.271855i | \(-0.0876371\pi\) | |||||||
\(108\) | 67909.3 | − | 100407.i | 0.560235 | − | 0.828334i | ||||
\(109\) | −136392. | −1.09957 | −0.549785 | − | 0.835306i | \(-0.685291\pi\) | ||||
−0.549785 | + | 0.835306i | \(0.685291\pi\) | |||||||
\(110\) | 133355. | + | 41909.1i | 1.05082 | + | 0.330238i | ||||
\(111\) | −65252.6 | + | 14281.6i | −0.502678 | + | 0.110019i | ||||
\(112\) | 98012.6 | − | 75980.9i | 0.738307 | − | 0.572347i | ||||
\(113\) | 6299.61 | 0.0464106 | 0.0232053 | − | 0.999731i | \(-0.492613\pi\) | ||||
0.0232053 | + | 0.999731i | \(0.492613\pi\) | |||||||
\(114\) | 44922.0 | − | 104767.i | 0.323741 | − | 0.755026i | ||||
\(115\) | −116527. | + | 38104.6i | −0.821640 | + | 0.268678i | ||||
\(116\) | 144924. | − | 49595.1i | 0.999989 | − | 0.342211i | ||||
\(117\) | −120118. | − | 261264.i | −0.811226 | − | 1.76447i | ||||
\(118\) | 111719. | − | 156312.i | 0.738625 | − | 1.03345i | ||||
\(119\) | 124974. | 0.809006 | ||||||||
\(120\) | −153197. | + | 37602.8i | −0.971172 | + | 0.238378i | ||||
\(121\) | 34347.3 | 0.213270 | ||||||||
\(122\) | −7543.91 | + | 10555.1i | −0.0458878 | + | 0.0642038i | ||||
\(123\) | 108174. | − | 23675.6i | 0.644705 | − | 0.141104i | ||||
\(124\) | 197908. | − | 67727.0i | 1.15587 | − | 0.395556i | ||||
\(125\) | 141907. | + | 101882.i | 0.812324 | + | 0.583206i | ||||
\(126\) | −31375.2 | + | 163493.i | −0.176060 | + | 0.917431i | ||||
\(127\) | 37809.7 | 0.208015 | 0.104007 | − | 0.994577i | \(-0.466833\pi\) | ||||
0.104007 | + | 0.994577i | \(0.466833\pi\) | |||||||
\(128\) | −172911. | + | 66793.6i | −0.932822 | + | 0.360338i | ||||
\(129\) | −649.451 | − | 2967.35i | −0.00343615 | − | 0.0156998i | ||||
\(130\) | −112192. | + | 356994.i | −0.582241 | + | 1.85269i | ||||
\(131\) | 159728. | 0.813209 | 0.406604 | − | 0.913604i | \(-0.366713\pi\) | ||||
0.406604 | + | 0.913604i | \(0.366713\pi\) | |||||||
\(132\) | −188536. | + | 114348.i | −0.941801 | + | 0.571209i | ||||
\(133\) | 156555.i | 0.767428i | ||||||||
\(134\) | 144412. | − | 202054.i | 0.694772 | − | 0.972089i | ||||
\(135\) | 121021. | − | 173765.i | 0.571514 | − | 0.820593i | ||||
\(136\) | −178954. | − | 53561.1i | −0.829650 | − | 0.248315i | ||||
\(137\) | −147918. | −0.673316 | −0.336658 | − | 0.941627i | \(-0.609297\pi\) | ||||
−0.336658 | + | 0.941627i | \(0.609297\pi\) | |||||||
\(138\) | 76212.4 | − | 177742.i | 0.340665 | − | 0.794498i | ||||
\(139\) | 115859.i | 0.508620i | 0.967123 | + | 0.254310i | \(0.0818484\pi\) | ||||
−0.967123 | + | 0.254310i | \(0.918152\pi\) | |||||||
\(140\) | 173021. | − | 130378.i | 0.746067 | − | 0.562193i | ||||
\(141\) | −77440.4 | + | 16949.1i | −0.328035 | + | 0.0717956i | ||||
\(142\) | 30971.6 | − | 43333.8i | 0.128897 | − | 0.180346i | ||||
\(143\) | 523086.i | 2.13911i | ||||||||
\(144\) | 114997. | − | 220665.i | 0.462147 | − | 0.886803i | ||||
\(145\) | 254333. | − | 83167.6i | 1.00458 | − | 0.328499i | ||||
\(146\) | −58825.5 | − | 42043.7i | −0.228393 | − | 0.163237i | ||||
\(147\) | 7132.07 | + | 32586.5i | 0.0272222 | + | 0.124378i | ||||
\(148\) | −129735. | + | 44397.2i | −0.486858 | + | 0.166610i | ||||
\(149\) | 288615.i | 1.06501i | 0.846427 | + | 0.532505i | \(0.178749\pi\) | ||||
−0.846427 | + | 0.532505i | \(0.821251\pi\) | |||||||
\(150\) | −268497. | + | 62022.2i | −0.974342 | + | 0.225071i | ||||
\(151\) | − | 191668.i | − | 0.684082i | −0.939685 | − | 0.342041i | \(-0.888882\pi\) | ||
0.939685 | − | 0.342041i | \(-0.111118\pi\) | |||||||
\(152\) | 67096.1 | − | 224176.i | 0.235553 | − | 0.787011i | ||||
\(153\) | 227832. | − | 104747.i | 0.786838 | − | 0.361753i | ||||
\(154\) | 176091. | − | 246377.i | 0.598321 | − | 0.837141i | ||||
\(155\) | 347317. | − | 113574.i | 1.16117 | − | 0.379707i | ||||
\(156\) | −306114. | − | 504715.i | −1.00710 | − | 1.66049i | ||||
\(157\) | 137072.i | 0.443812i | 0.975068 | + | 0.221906i | \(0.0712278\pi\) | ||||
−0.975068 | + | 0.221906i | \(0.928772\pi\) | |||||||
\(158\) | −291515. | − | 208351.i | −0.929005 | − | 0.663978i | ||||
\(159\) | 50942.3 | + | 232756.i | 0.159803 | + | 0.730143i | ||||
\(160\) | −303632. | + | 112540.i | −0.937664 | + | 0.347543i | ||||
\(161\) | 265603.i | 0.807549i | ||||||||
\(162\) | 79833.8 | + | 324351.i | 0.239001 | + | 0.971019i | ||||
\(163\) | −353583. | −1.04237 | −0.521185 | − | 0.853444i | \(-0.674510\pi\) | ||||
−0.521185 | + | 0.853444i | \(0.674510\pi\) | |||||||
\(164\) | 215071. | − | 73600.6i | 0.624415 | − | 0.213684i | ||||
\(165\) | −332060. | + | 195234.i | −0.949527 | + | 0.558272i | ||||
\(166\) | 174034. | + | 124386.i | 0.490190 | + | 0.350349i | ||||
\(167\) | − | 195975.i | − | 0.543762i | −0.962331 | − | 0.271881i | \(-0.912354\pi\) | ||
0.962331 | − | 0.271881i | \(-0.0876457\pi\) | |||||||
\(168\) | −25724.8 | + | 340774.i | −0.0703199 | + | 0.931522i | ||||
\(169\) | −1.02902e6 | −2.77145 | ||||||||
\(170\) | −311311. | − | 97835.2i | −0.826176 | − | 0.259641i | ||||
\(171\) | 131216. | + | 285405.i | 0.343161 | + | 0.746400i | ||||
\(172\) | −2018.95 | − | 5899.66i | −0.00520361 | − | 0.0152057i | ||||
\(173\) | −345862. | −0.878593 | −0.439296 | − | 0.898342i | \(-0.644772\pi\) | ||||
−0.439296 | + | 0.898342i | \(0.644772\pi\) | |||||||
\(174\) | −166342. | + | 387943.i | −0.416514 | + | 0.971392i | ||||
\(175\) | 305342. | − | 223606.i | 0.753688 | − | 0.551935i | ||||
\(176\) | −357742. | + | 277327.i | −0.870540 | + | 0.674856i | ||||
\(177\) | 113200. | + | 517211.i | 0.271589 | + | 1.24089i | ||||
\(178\) | 509790. | + | 364357.i | 1.20598 | + | 0.861941i | ||||
\(179\) | −190425. | −0.444213 | −0.222106 | − | 0.975022i | \(-0.571293\pi\) | ||||
−0.222106 | + | 0.975022i | \(0.571293\pi\) | |||||||
\(180\) | 206146. | − | 382702.i | 0.474235 | − | 0.880398i | ||||
\(181\) | 652504. | 1.48043 | 0.740213 | − | 0.672372i | \(-0.234725\pi\) | ||||
0.740213 | + | 0.672372i | \(0.234725\pi\) | |||||||
\(182\) | 659558. | + | 471399.i | 1.47596 | + | 1.05490i | ||||
\(183\) | −7643.88 | − | 34924.9i | −0.0168728 | − | 0.0770917i | ||||
\(184\) | 113832. | − | 380326.i | 0.247867 | − | 0.828156i | ||||
\(185\) | −227677. | + | 74451.0i | −0.489092 | + | 0.159934i | ||||
\(186\) | −227157. | + | 529774.i | −0.481442 | + | 1.12282i | ||||
\(187\) | −456150. | −0.953901 | ||||||||
\(188\) | −153967. | + | 52689.6i | −0.317711 | + | 0.108725i | ||||
\(189\) | −276318. | − | 366204.i | −0.562671 | − | 0.745707i | ||||
\(190\) | 122558. | − | 389980.i | 0.246297 | − | 0.783715i | ||||
\(191\) | −64257.8 | −0.127451 | −0.0637254 | − | 0.997967i | \(-0.520298\pi\) | ||||
−0.0637254 | + | 0.997967i | \(0.520298\pi\) | |||||||
\(192\) | 182885. | − | 476941.i | 0.358034 | − | 0.933709i | ||||
\(193\) | − | 31878.7i | − | 0.0616038i | −0.999526 | − | 0.0308019i | \(-0.990194\pi\) | ||
0.999526 | − | 0.0308019i | \(-0.00980610\pi\) | |||||||
\(194\) | −263276. | − | 188169.i | −0.502235 | − | 0.358958i | ||||
\(195\) | −522647. | − | 888934.i | −0.984287 | − | 1.67411i | ||||
\(196\) | 22171.5 | + | 64788.3i | 0.0412245 | + | 0.120464i | ||||
\(197\) | 661276. | 1.21400 | 0.606998 | − | 0.794703i | \(-0.292374\pi\) | ||||
0.606998 | + | 0.794703i | \(0.292374\pi\) | |||||||
\(198\) | 114518. | − | 596744.i | 0.207593 | − | 1.08175i | ||||
\(199\) | 925806.i | 1.65725i | 0.559806 | + | 0.828624i | \(0.310876\pi\) | ||||
−0.559806 | + | 0.828624i | \(0.689124\pi\) | |||||||
\(200\) | −533063. | + | 189326.i | −0.942331 | + | 0.334684i | ||||
\(201\) | 146326. | + | 668564.i | 0.255465 | + | 1.16722i | ||||
\(202\) | −29743.2 | − | 21258.1i | −0.0512872 | − | 0.0366560i | ||||
\(203\) | − | 579710.i | − | 0.987348i | ||||||
\(204\) | 440130. | − | 266942.i | 0.740466 | − | 0.449098i | ||||
\(205\) | 377438. | − | 123423.i | 0.627279 | − | 0.205122i | ||||
\(206\) | 293662. | − | 410877.i | 0.482147 | − | 0.674596i | ||||
\(207\) | 222615. | + | 484204.i | 0.361101 | + | 0.785421i | ||||
\(208\) | −742412. | − | 957685.i | −1.18983 | − | 1.53484i | ||||
\(209\) | − | 571420.i | − | 0.904877i | ||||||
\(210\) | −53078.8 | + | 594637.i | −0.0830563 | + | 0.930473i | ||||
\(211\) | − | 557799.i | − | 0.862525i | −0.902226 | − | 0.431263i | \(-0.858068\pi\) | ||
0.902226 | − | 0.431263i | \(-0.141932\pi\) | |||||||
\(212\) | 158365. | + | 462764.i | 0.242002 | + | 0.707164i | ||||
\(213\) | 31382.0 | + | 143384.i | 0.0473948 | + | 0.216547i | ||||
\(214\) | 296343. | + | 211802.i | 0.442344 | + | 0.316152i | ||||
\(215\) | −3385.64 | − | 10353.6i | −0.00499511 | − | 0.0152754i | ||||
\(216\) | 238722. | + | 642804.i | 0.348144 | + | 0.937441i | ||||
\(217\) | − | 791650.i | − | 1.14126i | ||||||
\(218\) | 448635. | − | 627708.i | 0.639370 | − | 0.894574i | ||||
\(219\) | 194644. | − | 42600.9i | 0.274239 | − | 0.0600217i | ||||
\(220\) | −631519. | + | 475876.i | −0.879690 | + | 0.662884i | ||||
\(221\) | − | 1.22112e6i | − | 1.68182i | ||||||
\(222\) | 148908. | − | 347283.i | 0.202786 | − | 0.472935i | ||||
\(223\) | 1.31048e6 | 1.76469 | 0.882347 | − | 0.470599i | \(-0.155962\pi\) | ||||
0.882347 | + | 0.470599i | \(0.155962\pi\) | |||||||
\(224\) | 27288.0 | + | 701000.i | 0.0363372 | + | 0.933465i | ||||
\(225\) | 369234. | − | 663563.i | 0.486235 | − | 0.873828i | ||||
\(226\) | −20721.3 | + | 28992.2i | −0.0269865 | + | 0.0377581i | ||||
\(227\) | 390870.i | 0.503464i | 0.967797 | + | 0.251732i | \(0.0810001\pi\) | ||||
−0.967797 | + | 0.251732i | \(0.919000\pi\) | |||||||
\(228\) | 334399. | + | 551351.i | 0.426017 | + | 0.702411i | ||||
\(229\) | −104093. | −0.131170 | −0.0655850 | − | 0.997847i | \(-0.520891\pi\) | ||||
−0.0655850 | + | 0.997847i | \(0.520891\pi\) | |||||||
\(230\) | 207926. | − | 661621.i | 0.259173 | − | 0.824687i | ||||
\(231\) | 178424. | + | 815221.i | 0.220000 | + | 1.00518i | ||||
\(232\) | −248451. | + | 830106.i | −0.303055 | + | 1.01254i | ||||
\(233\) | −1108.46 | −0.00133761 | −0.000668804 | − | 1.00000i | \(-0.500213\pi\) | ||||
−0.000668804 | 1.00000i | \(0.500213\pi\) | ||||||||
\(234\) | 1.59750e6 | + | 306569.i | 1.90722 | + | 0.366006i | ||||
\(235\) | −270203. | + | 88356.9i | −0.319168 | + | 0.104369i | ||||
\(236\) | 351905. | + | 1.02832e6i | 0.411287 | + | 1.20184i | ||||
\(237\) | 964574. | − | 211112.i | 1.11549 | − | 0.244142i | ||||
\(238\) | −411077. | + | 575158.i | −0.470414 | + | 0.658180i | ||||
\(239\) | −1.10753e6 | −1.25418 | −0.627090 | − | 0.778947i | \(-0.715754\pi\) | ||||
−0.627090 | + | 0.778947i | \(0.715754\pi\) | |||||||
\(240\) | 330854. | − | 828733.i | 0.370773 | − | 0.928723i | ||||
\(241\) | 413980. | 0.459131 | 0.229565 | − | 0.973293i | \(-0.426270\pi\) | ||||
0.229565 | + | 0.973293i | \(0.426270\pi\) | |||||||
\(242\) | −112979. | + | 158074.i | −0.124010 | + | 0.173509i | ||||
\(243\) | −810671. | − | 436006.i | −0.880702 | − | 0.473671i | ||||
\(244\) | −23762.6 | − | 69437.6i | −0.0255516 | − | 0.0746655i | ||||
\(245\) | 37180.1 | + | 113700.i | 0.0395727 | + | 0.121016i | ||||
\(246\) | −246857. | + | 575718.i | −0.260080 | + | 0.606558i | ||||
\(247\) | 1.52970e6 | 1.59538 | ||||||||
\(248\) | −339284. | + | 1.13359e6i | −0.350296 | + | 1.17038i | ||||
\(249\) | −575851. | + | 126034.i | −0.588588 | + | 0.128822i | ||||
\(250\) | −935659. | + | 317968.i | −0.946821 | + | 0.321761i | ||||
\(251\) | −1.55143e6 | −1.55435 | −0.777173 | − | 0.629287i | \(-0.783347\pi\) | ||||
−0.777173 | + | 0.629287i | \(0.783347\pi\) | |||||||
\(252\) | −649231. | − | 682175.i | −0.644017 | − | 0.676697i | ||||
\(253\) | − | 969442.i | − | 0.952183i | ||||||
\(254\) | −124367. | + | 174009.i | −0.120955 | + | 0.169234i | ||||
\(255\) | 775182. | − | 455767.i | 0.746541 | − | 0.438927i | ||||
\(256\) | 261359. | − | 1.01548e6i | 0.249251 | − | 0.968439i | ||||
\(257\) | 746836. | 0.705331 | 0.352665 | − | 0.935750i | \(-0.385275\pi\) | ||||
0.352665 | + | 0.935750i | \(0.385275\pi\) | |||||||
\(258\) | 15792.6 | + | 6771.58i | 0.0147708 | + | 0.00633345i | ||||
\(259\) | 518952.i | 0.480704i | ||||||||
\(260\) | −1.27393e6 | − | 1.69059e6i | −1.16873 | − | 1.55098i | ||||
\(261\) | −485884. | − | 1.05683e6i | −0.441500 | − | 0.960294i | ||||
\(262\) | −525393. | + | 735103.i | −0.472858 | + | 0.661599i | ||||
\(263\) | − | 728564.i | − | 0.649499i | −0.945800 | − | 0.324749i | \(-0.894720\pi\) | ||
0.945800 | − | 0.324749i | \(-0.105280\pi\) | |||||||
\(264\) | 93894.4 | − | 1.24381e6i | 0.0829144 | − | 1.09836i | ||||
\(265\) | 265567. | + | 812125.i | 0.232305 | + | 0.710408i | ||||
\(266\) | −720501. | − | 514957.i | −0.624354 | − | 0.446238i | ||||
\(267\) | −1.68681e6 | + | 369185.i | −1.44807 | + | 0.316932i | ||||
\(268\) | 454884. | + | 1.32924e6i | 0.386869 | + | 1.13049i | ||||
\(269\) | − | 593389.i | − | 0.499987i | −0.968247 | − | 0.249994i | \(-0.919571\pi\) | ||
0.968247 | − | 0.249994i | \(-0.0804286\pi\) | |||||||
\(270\) | 401630. | + | 1.12853e6i | 0.335287 | + | 0.942116i | ||||
\(271\) | − | 1.37591e6i | − | 1.13806i | −0.822317 | − | 0.569030i | \(-0.807319\pi\) | ||
0.822317 | − | 0.569030i | \(-0.192681\pi\) | |||||||
\(272\) | 835136. | − | 647410.i | 0.684439 | − | 0.530588i | ||||
\(273\) | −2.18237e6 | + | 477646.i | −1.77223 | + | 0.387882i | ||||
\(274\) | 486546. | − | 680751.i | 0.391514 | − | 0.547787i | ||||
\(275\) | −1.11449e6 | + | 816152.i | −0.888676 | + | 0.650788i | ||||
\(276\) | 567324. | + | 935395.i | 0.448289 | + | 0.739132i | ||||
\(277\) | 1.66045e6i | 1.30025i | 0.759826 | + | 0.650126i | \(0.225284\pi\) | ||||
−0.759826 | + | 0.650126i | \(0.774716\pi\) | |||||||
\(278\) | −533210. | − | 381096.i | −0.413796 | − | 0.295748i | ||||
\(279\) | −663522. | − | 1.44321e6i | −0.510322 | − | 1.10999i | ||||
\(280\) | 30913.4 | + | 1.22513e6i | 0.0235642 | + | 0.933875i | ||||
\(281\) | 1.23967e6i | 0.936570i | 0.883577 | + | 0.468285i | \(0.155128\pi\) | ||||
−0.883577 | + | 0.468285i | \(0.844872\pi\) | |||||||
\(282\) | 176721. | − | 412149.i | 0.132332 | − | 0.308625i | ||||
\(283\) | −376888. | −0.279735 | −0.139867 | − | 0.990170i | \(-0.544668\pi\) | ||||
−0.139867 | + | 0.990170i | \(0.544668\pi\) | |||||||
\(284\) | 97557.2 | + | 285076.i | 0.0717734 | + | 0.209732i | ||||
\(285\) | 570940. | + | 971072.i | 0.416369 | + | 0.708173i | ||||
\(286\) | −2.40736e6 | − | 1.72059e6i | −1.74031 | − | 1.24383i | ||||
\(287\) | − | 860306.i | − | 0.616521i | ||||||
\(288\) | 637290. | + | 1.25508e6i | 0.452747 | + | 0.891639i | ||||
\(289\) | −354993. | −0.250020 | ||||||||
\(290\) | −453823. | + | 1.44406e6i | −0.316878 | + | 1.00830i | ||||
\(291\) | 871137. | − | 190662.i | 0.603051 | − | 0.131987i | ||||
\(292\) | 386990. | − | 132433.i | 0.265609 | − | 0.0908952i | ||||
\(293\) | 49206.4 | 0.0334852 | 0.0167426 | − | 0.999860i | \(-0.494670\pi\) | ||||
0.0167426 | + | 0.999860i | \(0.494670\pi\) | |||||||
\(294\) | −173430. | − | 74363.4i | −0.117019 | − | 0.0501754i | ||||
\(295\) | 590121. | + | 1.80464e6i | 0.394808 | + | 1.20735i | ||||
\(296\) | 222412. | − | 743105.i | 0.147546 | − | 0.492970i | ||||
\(297\) | 1.00855e6 | + | 1.33663e6i | 0.663447 | + | 0.879265i | ||||
\(298\) | −1.32827e6 | − | 949342.i | −0.866456 | − | 0.619273i | ||||
\(299\) | 2.59522e6 | 1.67879 | ||||||||
\(300\) | 597729. | − | 1.43969e6i | 0.383443 | − | 0.923564i | ||||
\(301\) | −23599.2 | −0.0150135 | ||||||||
\(302\) | 882102. | + | 630456.i | 0.556546 | + | 0.397775i | ||||
\(303\) | 98415.3 | − | 21539.8i | 0.0615823 | − | 0.0134783i | ||||
\(304\) | 811011. | + | 1.04618e6i | 0.503319 | + | 0.649263i | ||||
\(305\) | −39848.2 | − | 121859.i | −0.0245278 | − | 0.0750081i | ||||
\(306\) | −267339. | + | 1.39308e6i | −0.163214 | + | 0.850494i | ||||
\(307\) | −1.12986e6 | −0.684191 | −0.342095 | − | 0.939665i | \(-0.611137\pi\) | ||||
−0.342095 | + | 0.939665i | \(0.611137\pi\) | |||||||
\(308\) | 554668. | + | 1.62082e6i | 0.333162 | + | 0.973548i | ||||
\(309\) | 297553. | + | 1.35952e6i | 0.177284 | + | 0.810010i | ||||
\(310\) | −619740. | + | 1.97201e6i | −0.366273 | + | 1.16548i | ||||
\(311\) | 2.93775e6 | 1.72232 | 0.861159 | − | 0.508335i | \(-0.169739\pi\) | ||||
0.861159 | + | 0.508335i | \(0.169739\pi\) | |||||||
\(312\) | 3.32971e6 | + | 251358.i | 1.93651 | + | 0.146186i | ||||
\(313\) | − | 328381.i | − | 0.189460i | −0.995503 | − | 0.0947300i | \(-0.969801\pi\) | ||
0.995503 | − | 0.0947300i | \(-0.0301988\pi\) | |||||||
\(314\) | −630836. | − | 450871.i | −0.361071 | − | 0.258064i | ||||
\(315\) | −1.11775e6 | − | 1.20711e6i | −0.634700 | − | 0.685444i | ||||
\(316\) | 1.91776e6 | − | 656286.i | 1.08038 | − | 0.369722i | ||||
\(317\) | −2.94941e6 | −1.64849 | −0.824247 | − | 0.566231i | \(-0.808401\pi\) | ||||
−0.824247 | + | 0.566231i | \(0.808401\pi\) | |||||||
\(318\) | −1.23876e6 | − | 531157.i | −0.686941 | − | 0.294547i | ||||
\(319\) | 2.11592e6i | 1.16419i | ||||||||
\(320\) | 480800. | − | 1.76756e6i | 0.262476 | − | 0.964938i | ||||
\(321\) | −980550. | + | 214609.i | −0.531138 | + | 0.116248i | ||||
\(322\) | −1.22237e6 | − | 873649.i | −0.656994 | − | 0.469567i | ||||
\(323\) | 1.33396e6i | 0.711435i | ||||||||
\(324\) | −1.75533e6 | − | 699476.i | −0.928961 | − | 0.370178i | ||||
\(325\) | −2.18486e6 | − | 2.98351e6i | −1.14740 | − | 1.56682i | ||||
\(326\) | 1.16304e6 | − | 1.62727e6i | 0.606109 | − | 0.848037i | ||||
\(327\) | 454580. | + | 2.07698e6i | 0.235094 | + | 1.07414i | ||||
\(328\) | −368709. | + | 1.23190e6i | −0.189234 | + | 0.632254i | ||||
\(329\) | 615881.i | 0.313694i | ||||||||
\(330\) | 193736. | − | 2.17040e6i | 0.0979320 | − | 1.09712i | ||||
\(331\) | − | 2.29057e6i | − | 1.14914i | −0.818454 | − | 0.574572i | \(-0.805169\pi\) | ||
0.818454 | − | 0.574572i | \(-0.194831\pi\) | |||||||
\(332\) | −1.14490e6 | + | 391803.i | −0.570064 | + | 0.195084i | ||||
\(333\) | 434959. | + | 946067.i | 0.214950 | + | 0.467532i | ||||
\(334\) | 901920. | + | 644620.i | 0.442386 | + | 0.316182i | ||||
\(335\) | 762809. | + | 2.33273e6i | 0.371368 | + | 1.13567i | ||||
\(336\) | −1.48370e6 | − | 1.23930e6i | −0.716966 | − | 0.598864i | ||||
\(337\) | − | 3.30109e6i | − | 1.58337i | −0.610928 | − | 0.791686i | \(-0.709203\pi\) | ||
0.610928 | − | 0.791686i | \(-0.290797\pi\) | |||||||
\(338\) | 3.38476e6 | − | 4.73579e6i | 1.61152 | − | 2.25476i | ||||
\(339\) | −20995.9 | − | 95930.4i | −0.00992282 | − | 0.0453374i | ||||
\(340\) | 1.47426e6 | − | 1.11091e6i | 0.691633 | − | 0.521175i | ||||
\(341\) | 2.88949e6i | 1.34566i | ||||||||
\(342\) | −1.74511e6 | − | 334896.i | −0.806784 | − | 0.154826i | ||||
\(343\) | 2.29462e6 | 1.05311 | ||||||||
\(344\) | 33792.5 | + | 10114.1i | 0.0153966 | + | 0.00460820i | ||||
\(345\) | 968628. | + | 1.64747e6i | 0.438136 | + | 0.745196i | ||||
\(346\) | 1.13765e6 | − | 1.59174e6i | 0.510877 | − | 0.714794i | ||||
\(347\) | − | 2.61161e6i | − | 1.16435i | −0.813062 | − | 0.582177i | \(-0.802201\pi\) | ||
0.813062 | − | 0.582177i | \(-0.197799\pi\) | |||||||
\(348\) | −1.23825e6 | − | 2.04161e6i | −0.548100 | − | 0.903699i | ||||
\(349\) | 3.00616e6 | 1.32114 | 0.660569 | − | 0.750765i | \(-0.270315\pi\) | ||||
0.660569 | + | 0.750765i | \(0.270315\pi\) | |||||||
\(350\) | 24720.7 | + | 2.14076e6i | 0.0107867 | + | 0.934110i | ||||
\(351\) | −3.57819e6 | + | 2.69991e6i | −1.55023 | + | 1.16972i | ||||
\(352\) | −99600.0 | − | 2.55862e6i | −0.0428453 | − | 1.10065i | ||||
\(353\) | 3.71861e6 | 1.58834 | 0.794170 | − | 0.607696i | \(-0.207906\pi\) | ||||
0.794170 | + | 0.607696i | \(0.207906\pi\) | |||||||
\(354\) | −2.75267e6 | − | 1.18029e6i | −1.16747 | − | 0.500589i | ||||
\(355\) | 163597. | + | 500292.i | 0.0688976 | + | 0.210694i | ||||
\(356\) | −3.35371e6 | + | 1.14769e6i | −1.40249 | + | 0.479953i | ||||
\(357\) | −416524. | − | 1.90310e6i | −0.172970 | − | 0.790299i | ||||
\(358\) | 626365. | − | 876378.i | 0.258297 | − | 0.361397i | ||||
\(359\) | −919094. | −0.376378 | −0.188189 | − | 0.982133i | \(-0.560262\pi\) | ||||
−0.188189 | + | 0.982133i | \(0.560262\pi\) | |||||||
\(360\) | 1.08320e6 | + | 2.20755e6i | 0.440508 | + | 0.897749i | ||||
\(361\) | 805049. | 0.325128 | ||||||||
\(362\) | −2.14628e6 | + | 3.00297e6i | −0.860827 | + | 1.20442i | ||||
\(363\) | −114476. | − | 523040.i | −0.0455981 | − | 0.208338i | ||||
\(364\) | −4.33897e6 | + | 1.48486e6i | −1.71646 | + | 0.587397i | ||||
\(365\) | 679145. | − | 222082.i | 0.266827 | − | 0.0872532i | ||||
\(366\) | 185875. | + | 79699.8i | 0.0725303 | + | 0.0310996i | ||||
\(367\) | 1.96673e6 | 0.762217 | 0.381109 | − | 0.924530i | \(-0.375542\pi\) | ||||
0.381109 | + | 0.924530i | \(0.375542\pi\) | |||||||
\(368\) | 1.37592e6 | + | 1.77489e6i | 0.529632 | + | 0.683206i | ||||
\(369\) | −721065. | − | 1.56837e6i | −0.275682 | − | 0.599628i | ||||
\(370\) | 406259. | − | 1.29271e6i | 0.154276 | − | 0.490906i | ||||
\(371\) | 1.85110e6 | 0.698225 | ||||||||
\(372\) | −1.69095e6 | − | 2.78801e6i | −0.633540 | − | 1.04457i | ||||
\(373\) | 160117.i | 0.0595889i | 0.999556 | + | 0.0297944i | \(0.00948527\pi\) | ||||
−0.999556 | + | 0.0297944i | \(0.990515\pi\) | |||||||
\(374\) | 1.50041e6 | − | 2.09930e6i | 0.554667 | − | 0.776062i | ||||
\(375\) | 1.07850e6 | − | 2.50052e6i | 0.396041 | − | 0.918233i | ||||
\(376\) | 263953. | − | 881901.i | 0.0962847 | − | 0.321699i | ||||
\(377\) | −5.66437e6 | −2.05257 | ||||||||
\(378\) | 2.59425e6 | − | 67123.2i | 0.933860 | − | 0.0241626i | ||||
\(379\) | − | 2.75160e6i | − | 0.983982i | −0.870600 | − | 0.491991i | \(-0.836269\pi\) | ||
0.870600 | − | 0.491991i | \(-0.163731\pi\) | |||||||
\(380\) | 1.39164e6 | + | 1.84680e6i | 0.494390 | + | 0.656087i | ||||
\(381\) | −126016. | − | 575766.i | −0.0444745 | − | 0.203204i | ||||
\(382\) | 211363. | − | 295729.i | 0.0741090 | − | 0.103690i | ||||
\(383\) | 2.27962e6i | 0.794084i | 0.917800 | + | 0.397042i | \(0.129963\pi\) | ||||
−0.917800 | + | 0.397042i | \(0.870037\pi\) | |||||||
\(384\) | 1.59343e6 | + | 2.41048e6i | 0.551447 | + | 0.834210i | ||||
\(385\) | 930140. | + | 2.84444e6i | 0.319813 | + | 0.978015i | ||||
\(386\) | 146713. | + | 104859.i | 0.0501188 | + | 0.0358209i | ||||
\(387\) | −43022.2 | + | 19779.7i | −0.0146021 | + | 0.00671339i | ||||
\(388\) | 1.73199e6 | − | 592712.i | 0.584072 | − | 0.199878i | ||||
\(389\) | 4.66990e6i | 1.56471i | 0.622834 | + | 0.782354i | \(0.285981\pi\) | ||||
−0.622834 | + | 0.782354i | \(0.714019\pi\) | |||||||
\(390\) | 5.81022e6 | + | 518635.i | 1.93433 | + | 0.172663i | ||||
\(391\) | 2.26312e6i | 0.748629i | ||||||||
\(392\) | −371099. | − | 111070.i | −0.121976 | − | 0.0365075i | ||||
\(393\) | −532355. | − | 2.43233e6i | −0.173868 | − | 0.794405i | ||||
\(394\) | −2.17514e6 | + | 3.04334e6i | −0.705905 | + | 0.987666i | ||||
\(395\) | 3.36556e6 | − | 1.10055e6i | 1.08534 | − | 0.354908i | ||||
\(396\) | 2.36967e6 | + | 2.48991e6i | 0.759363 | + | 0.797896i | ||||
\(397\) | 2.29103e6i | 0.729550i | 0.931096 | + | 0.364775i | \(0.118854\pi\) | ||||
−0.931096 | + | 0.364775i | \(0.881146\pi\) | |||||||
\(398\) | −4.26077e6 | − | 3.04526e6i | −1.34828 | − | 0.963643i | ||||
\(399\) | 2.38402e6 | − | 521780.i | 0.749682 | − | 0.164080i | ||||
\(400\) | 882086. | − | 3.07602e6i | 0.275652 | − | 0.961258i | ||||
\(401\) | − | 5.11533e6i | − | 1.58859i | −0.607530 | − | 0.794297i | \(-0.707839\pi\) | ||
0.607530 | − | 0.794297i | \(-0.292161\pi\) | |||||||
\(402\) | −3.55819e6 | − | 1.52568e6i | −1.09816 | − | 0.470868i | ||||
\(403\) | −7.73525e6 | −2.37253 | ||||||||
\(404\) | 195669. | − | 66960.7i | 0.0596442 | − | 0.0204111i | ||||
\(405\) | −3.04944e6 | − | 1.26377e6i | −0.923810 | − | 0.382851i | ||||
\(406\) | 2.66795e6 | + | 1.90684e6i | 0.803273 | + | 0.574116i | ||||
\(407\) | − | 1.89415e6i | − | 0.566799i | ||||||
\(408\) | −219193. | + | 2.90363e6i | −0.0651893 | + | 0.863557i | ||||
\(409\) | −399605. | −0.118120 | −0.0590599 | − | 0.998254i | \(-0.518810\pi\) | ||||
−0.0590599 | + | 0.998254i | \(0.518810\pi\) | |||||||
\(410\) | −673487. | + | 2.14303e6i | −0.197865 | + | 0.629606i | ||||
\(411\) | 492994. | + | 2.25249e6i | 0.143958 | + | 0.657746i | ||||
\(412\) | 925006. | + | 2.70300e6i | 0.268473 | + | 0.784518i | ||||
\(413\) | 4.11336e6 | 1.18665 | ||||||||
\(414\) | −2.96066e6 | − | 568167.i | −0.848962 | − | 0.162920i | ||||
\(415\) | −2.00924e6 | + | 657027.i | −0.572680 | + | 0.187268i | ||||
\(416\) | 6.84950e6 | − | 266632.i | 1.94055 | − | 0.0755403i | ||||
\(417\) | 1.76430e6 | − | 386146.i | 0.496859 | − | 0.108746i | ||||
\(418\) | 2.62980e6 | + | 1.87957e6i | 0.736177 | + | 0.526161i | ||||
\(419\) | −3.34608e6 | −0.931110 | −0.465555 | − | 0.885019i | \(-0.654145\pi\) | ||||
−0.465555 | + | 0.885019i | \(0.654145\pi\) | |||||||
\(420\) | −2.56206e6 | − | 2.20022e6i | −0.708706 | − | 0.608616i | ||||
\(421\) | −4.59285e6 | −1.26292 | −0.631461 | − | 0.775407i | \(-0.717545\pi\) | ||||
−0.631461 | + | 0.775407i | \(0.717545\pi\) | |||||||
\(422\) | 2.56712e6 | + | 1.83477e6i | 0.701722 | + | 0.501535i | ||||
\(423\) | 516200. | + | 1.12277e6i | 0.140271 | + | 0.305099i | ||||
\(424\) | −2.65066e6 | − | 793342.i | −0.716042 | − | 0.214312i | ||||
\(425\) | 2.60173e6 | − | 1.90528e6i | 0.698698 | − | 0.511665i | ||||
\(426\) | −763112. | − | 327208.i | −0.203734 | − | 0.0873574i | ||||
\(427\) | −277757. | −0.0737216 | ||||||||
\(428\) | −1.94952e6 | + | 667156.i | −0.514422 | + | 0.176043i | ||||
\(429\) | 7.96555e6 | − | 1.74339e6i | 2.08965 | − | 0.457352i | ||||
\(430\) | 58785.9 | + | 18474.5i | 0.0153321 | + | 0.00481839i | ||||
\(431\) | −4.21176e6 | −1.09212 | −0.546060 | − | 0.837746i | \(-0.683873\pi\) | ||||
−0.546060 | + | 0.837746i | \(0.683873\pi\) | |||||||
\(432\) | −3.74356e6 | − | 1.01572e6i | −0.965106 | − | 0.261858i | ||||
\(433\) | 7.22457e6i | 1.85179i | 0.377777 | + | 0.925896i | \(0.376688\pi\) | ||||
−0.377777 | + | 0.925896i | \(0.623312\pi\) | |||||||
\(434\) | 3.64335e6 | + | 2.60398e6i | 0.928490 | + | 0.663610i | ||||
\(435\) | −2.11414e6 | − | 3.59580e6i | −0.535687 | − | 0.911113i | ||||
\(436\) | 1.41316e6 | + | 4.12944e6i | 0.356019 | + | 1.04034i | ||||
\(437\) | −2.83502e6 | −0.710154 | ||||||||
\(438\) | −444183. | + | 1.03592e6i | −0.110631 | + | 0.258013i | ||||
\(439\) | − | 7.00983e6i | − | 1.73599i | −0.496577 | − | 0.867993i | \(-0.665410\pi\) | ||
0.496577 | − | 0.867993i | \(-0.334590\pi\) | |||||||
\(440\) | −112833. | − | 4.47169e6i | −0.0277846 | − | 1.10113i | ||||
\(441\) | 472456. | − | 217214.i | 0.115682 | − | 0.0531853i | ||||
\(442\) | 5.61989e6 | + | 4.01665e6i | 1.36827 | + | 0.977931i | ||||
\(443\) | 2.85015e6i | 0.690015i | 0.938600 | + | 0.345007i | \(0.112124\pi\) | ||||
−0.938600 | + | 0.345007i | \(0.887876\pi\) | |||||||
\(444\) | 1.10847e6 | + | 1.82763e6i | 0.266850 | + | 0.439978i | ||||
\(445\) | −5.88557e6 | + | 1.92460e6i | −1.40893 | + | 0.460722i | ||||
\(446\) | −4.31058e6 | + | 6.03114e6i | −1.02612 | + | 1.43570i | ||||
\(447\) | 4.39503e6 | − | 961922.i | 1.04038 | − | 0.227704i | ||||
\(448\) | −3.31592e6 | − | 2.18022e6i | −0.780565 | − | 0.513221i | ||||
\(449\) | − | 7.50057e6i | − | 1.75581i | −0.478831 | − | 0.877907i | \(-0.658939\pi\) | ||
0.478831 | − | 0.877907i | \(-0.341061\pi\) | |||||||
\(450\) | 1.83934e6 | + | 3.88196e6i | 0.428185 | + | 0.903691i | ||||
\(451\) | 3.14008e6i | 0.726942i | ||||||||
\(452\) | −65270.0 | − | 190728.i | −0.0150268 | − | 0.0439106i | ||||
\(453\) | −2.91873e6 | + | 638810.i | −0.668264 | + | 0.146260i | ||||
\(454\) | −1.79887e6 | − | 1.28569e6i | −0.409601 | − | 0.292750i | ||||
\(455\) | −7.61465e6 | + | 2.49001e6i | −1.72433 | + | 0.563861i | ||||
\(456\) | −3.63738e6 | − | 274583.i | −0.819175 | − | 0.0618389i | ||||
\(457\) | 964023.i | 0.215922i | 0.994155 | + | 0.107961i | \(0.0344321\pi\) | ||||
−0.994155 | + | 0.107961i | \(0.965568\pi\) | |||||||
\(458\) | 342395. | − | 479061.i | 0.0762717 | − | 0.106716i | ||||
\(459\) | −2.35442e6 | − | 3.12031e6i | −0.521618 | − | 0.691299i | ||||
\(460\) | 2.36099e6 | + | 3.13319e6i | 0.520236 | + | 0.690387i | ||||
\(461\) | 825020.i | 0.180806i | 0.995905 | + | 0.0904028i | \(0.0288154\pi\) | ||||
−0.995905 | + | 0.0904028i | \(0.971185\pi\) | |||||||
\(462\) | −4.33872e6 | − | 1.86036e6i | −0.945707 | − | 0.405501i | ||||
\(463\) | 4.08513e6 | 0.885632 | 0.442816 | − | 0.896613i | \(-0.353980\pi\) | ||||
0.442816 | + | 0.896613i | \(0.353980\pi\) | |||||||
\(464\) | −3.00311e6 | − | 3.87390e6i | −0.647554 | − | 0.835321i | ||||
\(465\) | −2.88707e6 | − | 4.91042e6i | −0.619191 | − | 1.05314i | ||||
\(466\) | 3646.05 | − | 5101.37i | 0.000777782 | − | 0.00108823i | ||||
\(467\) | − | 6.08462e6i | − | 1.29105i | −0.763741 | − | 0.645523i | \(-0.776640\pi\) | ||
0.763741 | − | 0.645523i | \(-0.223360\pi\) | |||||||
\(468\) | −6.66556e6 | + | 6.34366e6i | −1.40677 | + | 1.33883i | ||||
\(469\) | 5.31707e6 | 1.11619 | ||||||||
\(470\) | 482140. | − | 1.53417e6i | 0.100676 | − | 0.320352i | ||||
\(471\) | 2.08733e6 | − | 456845.i | 0.433550 | − | 0.0948893i | ||||
\(472\) | −5.89007e6 | − | 1.76290e6i | −1.21693 | − | 0.364227i | ||||
\(473\) | 86136.2 | 0.0177024 | ||||||||
\(474\) | −2.20119e6 | + | 5.13360e6i | −0.449999 | + | 1.04948i | ||||
\(475\) | 2.38674e6 | + | 3.25919e6i | 0.485368 | + | 0.662789i | ||||
\(476\) | −1.29485e6 | − | 3.78374e6i | −0.261940 | − | 0.765427i | ||||
\(477\) | 3.37462e6 | − | 1.55150e6i | 0.679093 | − | 0.312216i | ||||
\(478\) | 3.64299e6 | − | 5.09709e6i | 0.729271 | − | 1.02036i | ||||
\(479\) | 6.70686e6 | 1.33561 | 0.667807 | − | 0.744335i | \(-0.267233\pi\) | ||||
0.667807 | + | 0.744335i | \(0.267233\pi\) | |||||||
\(480\) | 2.72574e6 | + | 4.24862e6i | 0.539984 | + | 0.841675i | ||||
\(481\) | 5.07070e6 | 0.999321 | ||||||||
\(482\) | −1.36170e6 | + | 1.90523e6i | −0.266972 | + | 0.373533i | ||||
\(483\) | 4.04460e6 | − | 885226.i | 0.788875 | − | 0.172658i | ||||
\(484\) | −355871. | − | 1.03991e6i | −0.0690525 | − | 0.201781i | ||||
\(485\) | 3.03954e6 | − | 993938.i | 0.586751 | − | 0.191869i | ||||
\(486\) | 4.67314e6 | − | 2.29673e6i | 0.897466 | − | 0.441083i | ||||
\(487\) | −9.58647e6 | −1.83162 | −0.915812 | − | 0.401606i | \(-0.868452\pi\) | ||||
−0.915812 | + | 0.401606i | \(0.868452\pi\) | |||||||
\(488\) | 397730. | + | 119041.i | 0.0756029 | + | 0.0226280i | ||||
\(489\) | 1.17845e6 | + | 5.38435e6i | 0.222864 | + | 1.01827i | ||||
\(490\) | −645569. | − | 202882.i | −0.121465 | − | 0.0381727i | ||||
\(491\) | −7.35723e6 | −1.37724 | −0.688622 | − | 0.725121i | \(-0.741784\pi\) | ||||
−0.688622 | + | 0.725121i | \(0.741784\pi\) | |||||||
\(492\) | −1.83760e6 | − | 3.02980e6i | −0.342246 | − | 0.564289i | ||||
\(493\) | − | 4.93953e6i | − | 0.915310i | ||||||
\(494\) | −5.03166e6 | + | 7.04005e6i | −0.927671 | + | 1.29795i | ||||
\(495\) | 4.07975e6 | + | 4.40592e6i | 0.748377 | + | 0.808209i | ||||
\(496\) | −4.10104e6 | − | 5.29019e6i | −0.748496 | − | 0.965533i | ||||
\(497\) | 1.14033e6 | 0.207081 | ||||||||
\(498\) | 1.31411e6 | − | 3.06476e6i | 0.237442 | − | 0.553762i | ||||
\(499\) | − | 4.94817e6i | − | 0.889598i | −0.895631 | − | 0.444799i | \(-0.853275\pi\) | ||
0.895631 | − | 0.444799i | \(-0.146725\pi\) | |||||||
\(500\) | 1.61431e6 | − | 5.35201e6i | 0.288776 | − | 0.957397i | ||||
\(501\) | −2.98430e6 | + | 653162.i | −0.531188 | + | 0.116259i | ||||
\(502\) | 5.10312e6 | − | 7.14003e6i | 0.903809 | − | 1.26456i | ||||
\(503\) | − | 2.65554e6i | − | 0.467985i | −0.972238 | − | 0.233993i | \(-0.924821\pi\) | ||
0.972238 | − | 0.233993i | \(-0.0751792\pi\) | |||||||
\(504\) | 5.27504e6 | − | 744025.i | 0.925016 | − | 0.130470i | ||||
\(505\) | 343388. | − | 112289.i | 0.0599178 | − | 0.0195933i | ||||
\(506\) | 4.46159e6 | + | 3.18879e6i | 0.774664 | + | 0.553668i | ||||
\(507\) | 3.42962e6 | + | 1.56699e7i | 0.592551 | + | 2.70737i | ||||
\(508\) | −391745. | − | 1.14473e6i | −0.0673510 | − | 0.196809i | ||||
\(509\) | 3.31880e6i | 0.567788i | 0.958856 | + | 0.283894i | \(0.0916264\pi\) | ||||
−0.958856 | + | 0.283894i | \(0.908374\pi\) | |||||||
\(510\) | −452268. | + | 5.06672e6i | −0.0769964 | + | 0.862584i | ||||
\(511\) | − | 1.54799e6i | − | 0.262251i | ||||||
\(512\) | 3.81379e6 | + | 4.54306e6i | 0.642956 | + | 0.765903i | ||||
\(513\) | 3.90882e6 | − | 2.94939e6i | 0.655771 | − | 0.494810i | ||||
\(514\) | −2.45657e6 | + | 3.43711e6i | −0.410130 | + | 0.573833i | ||||
\(515\) | 1.55117e6 | + | 4.74361e6i | 0.257716 | + | 0.788117i | ||||
\(516\) | −83111.1 | + | 50407.5i | −0.0137415 | + | 0.00833433i | ||||
\(517\) | − | 2.24794e6i | − | 0.369878i | ||||||
\(518\) | −2.38833e6 | − | 1.70699e6i | −0.391084 | − | 0.279516i | ||||
\(519\) | 1.15272e6 | + | 5.26679e6i | 0.187848 | + | 0.858277i | ||||
\(520\) | 1.19708e7 | − | 302056.i | 1.94141 | − | 0.0489868i | ||||
\(521\) | − | 3.67823e6i | − | 0.593668i | −0.954929 | − | 0.296834i | \(-0.904069\pi\) | ||
0.954929 | − | 0.296834i | \(-0.0959309\pi\) | |||||||
\(522\) | 6.46199e6 | + | 1.24009e6i | 1.03798 | + | 0.199194i | ||||
\(523\) | 515191. | 0.0823596 | 0.0411798 | − | 0.999152i | \(-0.486888\pi\) | ||||
0.0411798 | + | 0.999152i | \(0.486888\pi\) | |||||||
\(524\) | −1.65493e6 | − | 4.83595e6i | −0.263301 | − | 0.769403i | ||||
\(525\) | −4.42274e6 | − | 3.90450e6i | −0.700314 | − | 0.618254i | ||||
\(526\) | 3.35302e6 | + | 2.39647e6i | 0.528410 | + | 0.377665i | ||||
\(527\) | − | 6.74541e6i | − | 1.05799i | ||||||
\(528\) | 5.41545e6 | + | 4.52340e6i | 0.845376 | + | 0.706122i | ||||
\(529\) | 1.62659e6 | 0.252720 | ||||||||
\(530\) | −4.61111e6 | − | 1.44913e6i | −0.713043 | − | 0.224087i | ||||
\(531\) | 7.49880e6 | − | 3.44761e6i | 1.15413 | − | 0.530619i | ||||
\(532\) | 4.73989e6 | − | 1.62206e6i | 0.726088 | − | 0.248478i | ||||
\(533\) | −8.40608e6 | −1.28167 | ||||||||
\(534\) | 3.84936e6 | − | 8.97744e6i | 0.584164 | − | 1.36238i | ||||
\(535\) | −3.42130e6 | + | 1.11878e6i | −0.516782 | + | 0.168989i | ||||
\(536\) | −7.61369e6 | − | 2.27878e6i | −1.14468 | − | 0.342603i | ||||
\(537\) | 634665. | + | 2.89979e6i | 0.0949749 | + | 0.433941i | ||||
\(538\) | 2.73091e6 | + | 1.95184e6i | 0.406773 | + | 0.290729i | ||||
\(539\) | −945922. | −0.140244 | ||||||||
\(540\) | −6.51484e6 | − | 1.86369e6i | −0.961434 | − | 0.275036i | ||||
\(541\) | −7.93761e6 | −1.16599 | −0.582997 | − | 0.812474i | \(-0.698120\pi\) | ||||
−0.582997 | + | 0.812474i | \(0.698120\pi\) | |||||||
\(542\) | 6.33223e6 | + | 4.52577e6i | 0.925887 | + | 0.661750i | ||||
\(543\) | −2.17472e6 | − | 9.93633e6i | −0.316523 | − | 1.44619i | ||||
\(544\) | 232512. | + | 5.97301e6i | 0.0336860 | + | 0.865358i | ||||
\(545\) | 2.36977e6 | + | 7.24693e6i | 0.341754 | + | 1.04511i | ||||
\(546\) | 4.98023e6 | − | 1.16149e7i | 0.714937 | − | 1.66737i | ||||
\(547\) | −45039.6 | −0.00643615 | −0.00321808 | − | 0.999995i | \(-0.501024\pi\) | ||||
−0.00321808 | + | 0.999995i | \(0.501024\pi\) | |||||||
\(548\) | 1.53257e6 | + | 4.47839e6i | 0.218006 | + | 0.637046i | ||||
\(549\) | −506360. | + | 232802.i | −0.0717016 | + | 0.0329652i | ||||
\(550\) | −90229.5 | − | 7.81369e6i | −0.0127187 | − | 1.10141i | ||||
\(551\) | 6.18776e6 | 0.868269 | ||||||||
\(552\) | −6.17100e6 | − | 465844.i | −0.862001 | − | 0.0650718i | ||||
\(553\) | − | 7.67122e6i | − | 1.06672i | ||||||
\(554\) | −7.64179e6 | − | 5.46174e6i | −1.05784 | − | 0.756060i | ||||
\(555\) | 1.89256e6 | + | 3.21893e6i | 0.260806 | + | 0.443587i | ||||
\(556\) | 3.50778e6 | − | 1.20041e6i | 0.481222 | − | 0.164681i | ||||
\(557\) | 455969. | 0.0622727 | 0.0311363 | − | 0.999515i | \(-0.490087\pi\) | ||||
0.0311363 | + | 0.999515i | \(0.490087\pi\) | |||||||
\(558\) | 8.82449e6 | + | 1.69347e6i | 1.19979 | + | 0.230245i | ||||
\(559\) | 230589.i | 0.0312111i | ||||||||
\(560\) | −5.74003e6 | − | 3.88757e6i | −0.773471 | − | 0.523851i | ||||
\(561\) | 1.52030e6 | + | 6.94625e6i | 0.203949 | + | 0.931844i | ||||
\(562\) | −5.70524e6 | − | 4.07765e6i | −0.761962 | − | 0.544590i | ||||
\(563\) | − | 3.79787e6i | − | 0.504974i | −0.967600 | − | 0.252487i | \(-0.918751\pi\) | ||
0.967600 | − | 0.252487i | \(-0.0812485\pi\) | |||||||
\(564\) | 1.31551e6 | + | 2.16899e6i | 0.174139 | + | 0.287118i | ||||
\(565\) | −109453. | − | 334717.i | −0.0144247 | − | 0.0441120i | ||||
\(566\) | 1.23970e6 | − | 1.73452e6i | 0.162658 | − | 0.227583i | ||||
\(567\) | −4.65561e6 | + | 5.42829e6i | −0.608161 | + | 0.709096i | ||||
\(568\) | −1.63288e6 | − | 488722.i | −0.212365 | − | 0.0635610i | ||||
\(569\) | 5.75280e6i | 0.744902i | 0.928052 | + | 0.372451i | \(0.121482\pi\) | ||||
−0.928052 | + | 0.372451i | \(0.878518\pi\) | |||||||
\(570\) | −6.34709e6 | − | 566557.i | −0.818253 | − | 0.0730393i | ||||
\(571\) | 2.47760e6i | 0.318011i | 0.987278 | + | 0.159005i | \(0.0508287\pi\) | ||||
−0.987278 | + | 0.159005i | \(0.949171\pi\) | |||||||
\(572\) | 1.58371e7 | − | 5.41968e6i | 2.02388 | − | 0.692602i | ||||
\(573\) | 214164. | + | 978517.i | 0.0272496 | + | 0.124504i | ||||
\(574\) | 3.95932e6 | + | 2.82981e6i | 0.501581 | + | 0.358490i | ||||
\(575\) | 4.04923e6 | + | 5.52938e6i | 0.510743 | + | 0.697439i | ||||
\(576\) | −7.87239e6 | − | 1.19537e6i | −0.988667 | − | 0.150123i | ||||
\(577\) | 9.56094e6i | 1.19553i | 0.801671 | + | 0.597766i | \(0.203945\pi\) | ||||
−0.801671 | + | 0.597766i | \(0.796055\pi\) | |||||||
\(578\) | 1.16768e6 | − | 1.63376e6i | 0.145380 | − | 0.203408i | ||||
\(579\) | −485449. | + | 106248.i | −0.0601793 | + | 0.0131712i | ||||
\(580\) | −5.15314e6 | − | 6.83856e6i | −0.636066 | − | 0.844101i | ||||
\(581\) | 4.57972e6i | 0.562858i | ||||||||
\(582\) | −1.98796e6 | + | 4.63631e6i | −0.243277 | + | 0.567369i | ||||
\(583\) | −6.75645e6 | −0.823279 | ||||||||
\(584\) | −663437. | + | 2.21663e6i | −0.0804948 | + | 0.268943i | ||||
\(585\) | −1.17948e7 | + | 1.09216e7i | −1.42495 | + | 1.31946i | ||||
\(586\) | −161855. | + | 226459.i | −0.0194707 | + | 0.0272424i | ||||
\(587\) | 5.40537e6i | 0.647486i | 0.946145 | + | 0.323743i | \(0.104941\pi\) | ||||
−0.946145 | + | 0.323743i | \(0.895059\pi\) | |||||||
\(588\) | 912701. | − | 553560.i | 0.108864 | − | 0.0660270i | ||||
\(589\) | 8.44999e6 | 1.00362 | ||||||||
\(590\) | −1.02464e7 | − | 3.22013e6i | −1.21183 | − | 0.380841i | ||||
\(591\) | −2.20396e6 | − | 1.00699e7i | −0.259558 | − | 1.18592i | ||||
\(592\) | 2.68836e6 | + | 3.46789e6i | 0.315270 | + | 0.406687i | ||||
\(593\) | −1.04976e7 | −1.22589 | −0.612945 | − | 0.790125i | \(-0.710015\pi\) | ||||
−0.612945 | + | 0.790125i | \(0.710015\pi\) | |||||||
\(594\) | −9.46890e6 | + | 244997.i | −1.10112 | + | 0.0284902i | ||||
\(595\) | −2.17138e6 | − | 6.64024e6i | −0.251445 | − | 0.768938i | ||||
\(596\) | 8.73818e6 | − | 2.99033e6i | 1.00764 | − | 0.344829i | ||||
\(597\) | 1.40982e7 | − | 3.08561e6i | 1.61893 | − | 0.354328i | ||||
\(598\) | −8.53646e6 | + | 1.19438e7i | −0.976169 | + | 1.36581i | ||||
\(599\) | −3.31460e6 | −0.377453 | −0.188727 | − | 0.982030i | \(-0.560436\pi\) | ||||
−0.188727 | + | 0.982030i | \(0.560436\pi\) | |||||||
\(600\) | 4.65969e6 | + | 7.48647e6i | 0.528419 | + | 0.848983i | ||||
\(601\) | −1.12802e7 | −1.27389 | −0.636945 | − | 0.770909i | \(-0.719802\pi\) | ||||
−0.636945 | + | 0.770909i | \(0.719802\pi\) | |||||||
\(602\) | 77624.9 | − | 108609.i | 0.00872992 | − | 0.0122145i | ||||
\(603\) | 9.69320e6 | − | 4.45650e6i | 1.08561 | − | 0.499115i | ||||
\(604\) | −5.80300e6 | + | 1.98587e6i | −0.647232 | + | 0.221492i | ||||
\(605\) | −596772. | − | 1.82498e6i | −0.0662857 | − | 0.202707i | ||||
\(606\) | −224587. | + | 523780.i | −0.0248429 | + | 0.0579385i | ||||
\(607\) | 1.09061e7 | 1.20143 | 0.600713 | − | 0.799464i | \(-0.294883\pi\) | ||||
0.600713 | + | 0.799464i | \(0.294883\pi\) | |||||||
\(608\) | −7.48240e6 | + | 291269.i | −0.820884 | + | 0.0319547i | ||||
\(609\) | −8.82781e6 | + | 1.93211e6i | −0.964517 | + | 0.211100i | ||||
\(610\) | 691895. | + | 217441.i | 0.0752863 | + | 0.0236601i | ||||
\(611\) | 6.01780e6 | 0.652130 | ||||||||
\(612\) | −5.53190e6 | − | 5.81261e6i | −0.597029 | − | 0.627325i | ||||
\(613\) | 1.42777e7i | 1.53464i | 0.641265 | + | 0.767320i | \(0.278410\pi\) | ||||
−0.641265 | + | 0.767320i | \(0.721590\pi\) | |||||||
\(614\) | 3.71644e6 | − | 5.19985e6i | 0.397838 | − | 0.556635i | ||||
\(615\) | −3.13745e6 | − | 5.33627e6i | −0.334494 | − | 0.568918i | ||||
\(616\) | −9.28384e6 | − | 2.77866e6i | −0.985771 | − | 0.295041i | ||||
\(617\) | 1.13743e7 | 1.20285 | 0.601427 | − | 0.798928i | \(-0.294599\pi\) | ||||
0.601427 | + | 0.798928i | \(0.294599\pi\) | |||||||
\(618\) | −7.23558e6 | − | 3.10248e6i | −0.762083 | − | 0.326766i | ||||
\(619\) | 1.53471e7i | 1.60990i | 0.593344 | + | 0.804949i | \(0.297808\pi\) | ||||
−0.593344 | + | 0.804949i | \(0.702192\pi\) | |||||||
\(620\) | −7.03712e6 | − | 9.33872e6i | −0.735218 | − | 0.975682i | ||||
\(621\) | 6.63150e6 | − | 5.00378e6i | 0.690054 | − | 0.520678i | ||||
\(622\) | −9.66314e6 | + | 1.35202e7i | −1.00148 | + | 1.40122i | ||||
\(623\) | 1.34151e7i | 1.38476i | ||||||||
\(624\) | −1.21092e7 | + | 1.44973e7i | −1.24496 | + | 1.49048i | ||||
\(625\) | 2.94771e6 | − | 9.31012e6i | 0.301846 | − | 0.953357i | ||||
\(626\) | 1.51128e6 | + | 1.08015e6i | 0.154138 | + | 0.110166i | ||||
\(627\) | −8.70157e6 | + | 1.90448e6i | −0.883953 | + | 0.193467i | ||||
\(628\) | 4.15002e6 | − | 1.42020e6i | 0.419905 | − | 0.143698i | ||||
\(629\) | 4.42183e6i | 0.445631i | ||||||||
\(630\) | 9.23203e6 | − | 1.17358e6i | 0.926715 | − | 0.117804i | ||||
\(631\) | 3.59843e6i | 0.359783i | 0.983686 | + | 0.179891i | \(0.0575746\pi\) | ||||
−0.983686 | + | 0.179891i | \(0.942425\pi\) | |||||||
\(632\) | −3.28772e6 | + | 1.09847e7i | −0.327418 | + | 1.09394i | ||||
\(633\) | −8.49417e6 | + | 1.85908e6i | −0.842581 | + | 0.184412i | ||||
\(634\) | 9.70151e6 | − | 1.35739e7i | 0.958553 | − | 1.34116i | ||||
\(635\) | −656930. | − | 2.00894e6i | −0.0646524 | − | 0.197712i | ||||
\(636\) | 6.51916e6 | − | 3.95392e6i | 0.639071 | − | 0.387601i | ||||
\(637\) | − | 2.53226e6i | − | 0.247263i | ||||||
\(638\) | −9.73793e6 | − | 6.95990e6i | −0.947142 | − | 0.676941i | ||||
\(639\) | 2.07886e6 | − | 955769.i | 0.201407 | − | 0.0925978i | ||||
\(640\) | 6.55322e6 | + | 8.02680e6i | 0.632419 | + | 0.774627i | ||||
\(641\) | − | 598498.i | − | 0.0575330i | −0.999586 | − | 0.0287665i | \(-0.990842\pi\) | ||
0.999586 | − | 0.0287665i | \(-0.00915793\pi\) | |||||||
\(642\) | 2.23765e6 | − | 5.21863e6i | 0.214266 | − | 0.499711i | ||||
\(643\) | 1.29874e7 | 1.23878 | 0.619390 | − | 0.785083i | \(-0.287380\pi\) | ||||
0.619390 | + | 0.785083i | \(0.287380\pi\) | |||||||
\(644\) | 8.04146e6 | − | 2.75191e6i | 0.764048 | − | 0.261468i | ||||
\(645\) | −146380. | + | 86063.9i | −0.0138542 | + | 0.00814557i | ||||
\(646\) | −6.13917e6 | − | 4.38779e6i | −0.578800 | − | 0.413680i | ||||
\(647\) | − | 7.73712e6i | − | 0.726639i | −0.931665 | − | 0.363320i | \(-0.881643\pi\) | ||
0.931665 | − | 0.363320i | \(-0.118357\pi\) | |||||||
\(648\) | 8.99298e6 | − | 5.77766e6i | 0.841329 | − | 0.540523i | ||||
\(649\) | −1.50136e7 | −1.39918 | ||||||||
\(650\) | 2.09175e7 | − | 241547.i | 1.94189 | − | 0.0224242i | ||||
\(651\) | −1.20552e7 | + | 2.63848e6i | −1.11487 | + | 0.244007i | ||||
\(652\) | 3.66346e6 | + | 1.07051e7i | 0.337499 | + | 0.986220i | ||||
\(653\) | 200322. | 0.0183843 | 0.00919213 | − | 0.999958i | \(-0.497074\pi\) | ||||
0.00919213 | + | 0.999958i | \(0.497074\pi\) | |||||||
\(654\) | −1.10540e7 | − | 4.73973e6i | −1.01059 | − | 0.433321i | ||||
\(655\) | −2.77521e6 | − | 8.48682e6i | −0.252751 | − | 0.772933i | ||||
\(656\) | −4.45670e6 | − | 5.74898e6i | −0.404346 | − | 0.521592i | ||||
\(657\) | −1.29745e6 | − | 2.82205e6i | −0.117268 | − | 0.255065i | ||||
\(658\) | −2.83442e6 | − | 2.02582e6i | −0.255211 | − | 0.182405i | ||||
\(659\) | 7.58469e6 | 0.680337 | 0.340169 | − | 0.940364i | \(-0.389516\pi\) | ||||
0.340169 | + | 0.940364i | \(0.389516\pi\) | |||||||
\(660\) | 9.35143e6 | + | 8.03073e6i | 0.835638 | + | 0.717621i | ||||
\(661\) | 1.39690e7 | 1.24355 | 0.621775 | − | 0.783196i | \(-0.286412\pi\) | ||||
0.621775 | + | 0.783196i | \(0.286412\pi\) | |||||||
\(662\) | 1.05417e7 | + | 7.53439e6i | 0.934904 | + | 0.668195i | ||||
\(663\) | −1.85953e7 | + | 4.06987e6i | −1.64293 | + | 0.359581i | ||||
\(664\) | 1.96277e6 | − | 6.55786e6i | 0.172762 | − | 0.577221i | ||||
\(665\) | 8.31824e6 | − | 2.72009e6i | 0.729420 | − | 0.238522i | ||||
\(666\) | −5.78473e6 | − | 1.11012e6i | −0.505356 | − | 0.0969805i | ||||
\(667\) | 1.04978e7 | 0.913661 | ||||||||
\(668\) | −5.93337e6 | + | 2.03049e6i | −0.514471 | + | 0.176059i | ||||
\(669\) | −4.36770e6 | − | 1.99560e7i | −0.377301 | − | 1.72389i | ||||
\(670\) | −1.32449e7 | − | 4.16244e6i | −1.13988 | − | 0.358229i | ||||
\(671\) | 1.01380e6 | 0.0869254 | ||||||||
\(672\) | 1.05839e7 | − | 2.75190e6i | 0.904111 | − | 0.235076i | ||||
\(673\) | − | 6.91285e6i | − | 0.588328i | −0.955755 | − | 0.294164i | \(-0.904959\pi\) | ||
0.955755 | − | 0.294164i | \(-0.0950412\pi\) | |||||||
\(674\) | 1.51924e7 | + | 1.08583e7i | 1.28818 | + | 0.920687i | ||||
\(675\) | −1.13354e7 | − | 3.41112e6i | −0.957582 | − | 0.288162i | ||||
\(676\) | 1.06617e7 | + | 3.11549e7i | 0.897342 | + | 2.62216i | ||||
\(677\) | −7.18646e6 | −0.602620 | −0.301310 | − | 0.953526i | \(-0.597424\pi\) | ||||
−0.301310 | + | 0.953526i | \(0.597424\pi\) | |||||||
\(678\) | 510555. | + | 218916.i | 0.0426549 | + | 0.0182896i | ||||
\(679\) | − | 6.92812e6i | − | 0.576688i | ||||||
\(680\) | 263404. | + | 1.04390e7i | 0.0218449 | + | 0.865738i | ||||
\(681\) | 5.95217e6 | − | 1.30273e6i | 0.491822 | − | 0.107643i | ||||
\(682\) | −1.32981e7 | − | 9.50442e6i | −1.09478 | − | 0.782465i | ||||
\(683\) | − | 1.32532e6i | − | 0.108710i | −0.998522 | − | 0.0543551i | \(-0.982690\pi\) | ||
0.998522 | − | 0.0543551i | \(-0.0173103\pi\) | |||||||
\(684\) | 7.28146e6 | − | 6.92981e6i | 0.595084 | − | 0.566345i | ||||
\(685\) | 2.57002e6 | + | 7.85932e6i | 0.209271 | + | 0.639969i | ||||
\(686\) | −7.54769e6 | + | 1.05603e7i | −0.612356 | + | 0.856777i | ||||
\(687\) | 346932. | + | 1.58513e6i | 0.0280448 | + | 0.128137i | ||||
\(688\) | −157701. | + | 122252.i | −0.0127018 | + | 0.00984660i | ||||
\(689\) | − | 1.80872e7i | − | 1.45152i | ||||||
\(690\) | −1.07681e7 | − | 961192.i | −0.861030 | − | 0.0768577i | ||||
\(691\) | 7.66746e6i | 0.610881i | 0.952211 | + | 0.305440i | \(0.0988037\pi\) | ||||
−0.952211 | + | 0.305440i | \(0.901196\pi\) | |||||||
\(692\) | 3.58347e6 | + | 1.04714e7i | 0.284471 | + | 0.831265i | ||||
\(693\) | 1.18195e7 | − | 5.43408e6i | 0.934902 | − | 0.429826i | ||||
\(694\) | 1.20192e7 | + | 8.59038e6i | 0.947279 | + | 0.677039i | ||||
\(695\) | 6.15595e6 | − | 2.01301e6i | 0.483430 | − | 0.158083i | ||||
\(696\) | 1.34689e7 | + | 1.01676e6i | 1.05392 | + | 0.0795600i | ||||
\(697\) | − | 7.33041e6i | − | 0.571539i | ||||||
\(698\) | −9.88816e6 | + | 1.38350e7i | −0.768205 | + | 1.07483i | ||||
\(699\) | 3694.36 | + | 16879.6i | 0.000285987 | + | 0.00130668i | ||||
\(700\) | −9.93358e6 | − | 6.92784e6i | −0.766233 | − | 0.534383i | ||||
\(701\) | 7.13545e6i | 0.548436i | 0.961668 | + | 0.274218i | \(0.0884190\pi\) | ||||
−0.961668 | + | 0.274218i | \(0.911581\pi\) | |||||||
\(702\) | −655864. | − | 2.53485e7i | −0.0502309 | − | 1.94137i | ||||
\(703\) | −5.53923e6 | −0.422728 | ||||||||
\(704\) | 1.21030e7 | + | 7.95771e6i | 0.920366 | + | 0.605141i | ||||
\(705\) | 2.24605e6 | + | 3.82016e6i | 0.170195 | + | 0.289473i | ||||
\(706\) | −1.22316e7 | + | 1.71139e7i | −0.923575 | + | 1.29222i | ||||
\(707\) | − | 782693.i | − | 0.0588902i | ||||||
\(708\) | 1.44863e7 | − | 8.78607e6i | 1.08611 | − | 0.658736i | ||||
\(709\) | 4.78165e6 | 0.357242 | 0.178621 | − | 0.983918i | \(-0.442836\pi\) | ||||
0.178621 | + | 0.983918i | \(0.442836\pi\) | |||||||
\(710\) | −2.84058e6 | − | 892704.i | −0.211476 | − | 0.0664602i | ||||
\(711\) | −6.42964e6 | − | 1.39849e7i | −0.476993 | − | 1.03749i | ||||
\(712\) | 5.74944e6 | − | 1.92096e7i | 0.425036 | − | 1.42010i | ||||
\(713\) | 1.43358e7 | 1.05608 | ||||||||
\(714\) | 1.01286e7 | + | 4.34294e6i | 0.743537 | + | 0.318815i | ||||
\(715\) | 2.77932e7 | − | 9.08844e6i | 2.03317 | − | 0.664851i | ||||
\(716\) | 1.97299e6 | + | 5.76535e6i | 0.143827 | + | 0.420284i | ||||
\(717\) | 3.69127e6 | + | 1.68654e7i | 0.268150 | + | 1.22518i | ||||
\(718\) | 3.02318e6 | − | 4.22988e6i | 0.218853 | − | 0.306208i | ||||
\(719\) | −2.03561e7 | −1.46849 | −0.734247 | − | 0.678882i | \(-0.762465\pi\) | ||||
−0.734247 | + | 0.678882i | \(0.762465\pi\) | |||||||
\(720\) | −1.37226e7 | − | 2.27617e6i | −0.986521 | − | 0.163634i | ||||
\(721\) | 1.08122e7 | 0.774601 | ||||||||
\(722\) | −2.64805e6 | + | 3.70502e6i | −0.189053 | + | 0.264513i | ||||
\(723\) | −1.37975e6 | − | 6.30408e6i | −0.0981644 | − | 0.448514i | ||||
\(724\) | −6.76057e6 | − | 1.97554e7i | −0.479333 | − | 1.40068i | ||||
\(725\) | −8.83790e6 | − | 1.20685e7i | −0.624459 | − | 0.852723i | ||||
\(726\) | 2.78370e6 | + | 1.19359e6i | 0.196011 | + | 0.0840457i | ||||
\(727\) | −2.08208e7 | −1.46104 | −0.730520 | − | 0.682891i | \(-0.760722\pi\) | ||||
−0.730520 | + | 0.682891i | \(0.760722\pi\) | |||||||
\(728\) | 7.43853e6 | − | 2.48531e7i | 0.520186 | − | 1.73801i | ||||
\(729\) | −3.93762e6 | + | 1.37981e7i | −0.274420 | + | 0.961610i | ||||
\(730\) | −1.21184e6 | + | 3.85607e6i | −0.0841663 | + | 0.267817i | ||||
\(731\) | −201082. | −0.0139181 | ||||||||
\(732\) | −978197. | + | 593284.i | −0.0674759 | + | 0.0409246i | ||||
\(733\) | − | 1.74635e7i | − | 1.20053i | −0.799802 | − | 0.600264i | \(-0.795062\pi\) | ||
0.799802 | − | 0.600264i | \(-0.204938\pi\) | |||||||
\(734\) | −6.46916e6 | + | 9.05132e6i | −0.443208 | + | 0.620114i | ||||
\(735\) | 1.60750e6 | − | 945127.i | 0.109757 | − | 0.0645315i | ||||
\(736\) | −1.26943e7 | + | 494152.i | −0.863799 | + | 0.0336253i | ||||
\(737\) | −1.94071e7 | −1.31611 | ||||||||
\(738\) | 9.58978e6 | + | 1.84033e6i | 0.648139 | + | 0.124381i | ||||
\(739\) | − | 3.13917e6i | − | 0.211448i | −0.994395 | − | 0.105724i | \(-0.966284\pi\) | ||
0.994395 | − | 0.105724i | \(-0.0337161\pi\) | |||||||
\(740\) | 4.61305e6 | + | 6.12182e6i | 0.309677 | + | 0.410962i | ||||
\(741\) | −5.09834e6 | − | 2.32943e7i | −0.341101 | − | 1.55849i | ||||
\(742\) | −6.08883e6 | + | 8.51918e6i | −0.405998 | + | 0.568052i | ||||
\(743\) | 9.57557e6i | 0.636345i | 0.948033 | + | 0.318172i | \(0.103069\pi\) | ||||
−0.948033 | + | 0.318172i | \(0.896931\pi\) | |||||||
\(744\) | 1.83931e7 | + | 1.38848e6i | 1.21821 | + | 0.0919620i | ||||
\(745\) | 1.53350e7 | − | 5.01458e6i | 1.01226 | − | 0.331012i | ||||
\(746\) | −736894. | − | 526673.i | −0.0484795 | − | 0.0346493i | ||||
\(747\) | 3.83849e6 | + | 8.34899e6i | 0.251686 | + | 0.547435i | ||||
\(748\) | 4.72615e6 | + | 1.38105e7i | 0.308854 | + | 0.902517i | ||||
\(749\) | 7.79828e6i | 0.507919i | ||||||||
\(750\) | 7.96047e6 | + | 1.31885e7i | 0.516756 | + | 0.856133i | ||||
\(751\) | 3.08190e7i | 1.99397i | 0.0776065 | + | 0.996984i | \(0.475272\pi\) | ||||
−0.0776065 | + | 0.996984i | \(0.524728\pi\) | |||||||
\(752\) | 3.19049e6 | + | 4.11561e6i | 0.205737 | + | 0.265393i | ||||
\(753\) | 5.17074e6 | + | 2.36252e7i | 0.332327 | + | 1.51840i | ||||
\(754\) | 1.86318e7 | − | 2.60687e7i | 1.19351 | − | 1.66990i | ||||
\(755\) | −1.01839e7 | + | 3.33017e6i | −0.650202 | + | 0.212618i | ||||
\(756\) | −8.22434e6 | + | 1.21601e7i | −0.523356 | + | 0.773807i | ||||
\(757\) | − | 1.21868e7i | − | 0.772949i | −0.922300 | − | 0.386474i | \(-0.873693\pi\) | ||
0.922300 | − | 0.386474i | \(-0.126307\pi\) | |||||||
\(758\) | 1.26635e7 | + | 9.05084e6i | 0.800534 | + | 0.572158i | ||||
\(759\) | −1.47627e7 | + | 3.23104e6i | −0.930165 | + | 0.203581i | ||||
\(760\) | −1.30769e7 | + | 329966.i | −0.821244 | + | 0.0207222i | ||||
\(761\) | − | 5.95806e6i | − | 0.372944i | −0.982460 | − | 0.186472i | \(-0.940295\pi\) | ||
0.982460 | − | 0.186472i | \(-0.0597053\pi\) | |||||||
\(762\) | 3.06431e6 | + | 1.31392e6i | 0.191181 | + | 0.0819748i | ||||
\(763\) | 1.65182e7 | 1.02719 | ||||||||
\(764\) | 665773. | + | 1.94548e6i | 0.0412660 | + | 0.120585i | ||||
\(765\) | −9.52401e6 | − | 1.02855e7i | −0.588391 | − | 0.635433i | ||||
\(766\) | −1.04913e7 | − | 7.49838e6i | −0.646040 | − | 0.461738i | ||||
\(767\) | − | 4.01918e7i | − | 2.46689i | ||||||
\(768\) | −1.63348e7 | − | 595486.i | −0.999336 | − | 0.0364308i | ||||
\(769\) | −1.64484e7 | −1.00302 | −0.501509 | − | 0.865153i | \(-0.667221\pi\) | ||||
−0.501509 | + | 0.865153i | \(0.667221\pi\) | |||||||
\(770\) | −1.61503e7 | − | 5.07552e6i | −0.981642 | − | 0.308499i | ||||
\(771\) | −2.48912e6 | − | 1.13728e7i | −0.150803 | − | 0.689021i | ||||
\(772\) | −965167. | + | 330294.i | −0.0582853 | + | 0.0199461i | ||||
\(773\) | 2.24908e7 | 1.35380 | 0.676902 | − | 0.736073i | \(-0.263322\pi\) | ||||
0.676902 | + | 0.736073i | \(0.263322\pi\) | |||||||
\(774\) | 50482.4 | − | 263059.i | 0.00302892 | − | 0.0157834i | ||||
\(775\) | −1.20690e7 | − | 1.64807e7i | −0.721802 | − | 0.985648i | ||||
\(776\) | −2.96924e6 | + | 9.92062e6i | −0.177007 | + | 0.591404i | ||||
\(777\) | 7.90259e6 | − | 1.72961e6i | 0.469588 | − | 0.102777i | ||||
\(778\) | −2.14919e7 | − | 1.53607e7i | −1.27299 | − | 0.909834i | ||||
\(779\) | 9.18281e6 | 0.542166 | ||||||||
\(780\) | −2.14985e7 | + | 2.50340e7i | −1.26523 | + | 1.47331i | ||||
\(781\) | −4.16217e6 | −0.244170 | ||||||||
\(782\) | −1.04154e7 | − | 7.44410e6i | −0.609059 | − | 0.435307i | ||||
\(783\) | −1.44740e7 | + | 1.09213e7i | −0.843693 | + | 0.636607i | ||||
\(784\) | 1.73183e6 | − | 1.34254e6i | 0.100627 | − | 0.0780076i | ||||
\(785\) | 7.28305e6 | − | 2.38157e6i | 0.421831 | − | 0.137940i | ||||
\(786\) | 1.29452e7 | + | 5.55066e6i | 0.747400 | + | 0.320471i | ||||
\(787\) | 2.28411e7 | 1.31456 | 0.657279 | − | 0.753647i | \(-0.271707\pi\) | ||||
0.657279 | + | 0.753647i | \(0.271707\pi\) | |||||||
\(788\) | −6.85146e6 | − | 2.00210e7i | −0.393068 | − | 1.14860i | ||||
\(789\) | −1.10946e7 | + | 2.42822e6i | −0.634480 | + | 0.138866i | ||||
\(790\) | −6.00538e6 | + | 1.91091e7i | −0.342352 | + | 1.08936i | ||||
\(791\) | −762931. | −0.0433555 | ||||||||
\(792\) | −1.92537e7 | + | 2.71566e6i | −1.09069 | + | 0.153838i | ||||
\(793\) | 2.71397e6i | 0.153258i | ||||||||
\(794\) | −1.05439e7 | − | 7.53590e6i | −0.593537 | − | 0.424213i | ||||
\(795\) | 1.14819e7 | − | 6.75077e6i | 0.644313 | − | 0.378822i | ||||
\(796\) | 2.80299e7 | − | 9.59225e6i | 1.56798 | − | 0.536584i | ||||
\(797\) | −1.44455e7 | −0.805541 | −0.402771 | − | 0.915301i | \(-0.631953\pi\) | ||||
−0.402771 | + | 0.915301i | \(0.631953\pi\) | |||||||
\(798\) | −5.44041e6 | + | 1.26881e7i | −0.302429 | + | 0.705324i | ||||
\(799\) | 5.24773e6i | 0.290807i | ||||||||
\(800\) | 1.12551e7 | + | 1.41775e7i | 0.621763 | + | 0.783205i | ||||
\(801\) | 1.12439e7 | + | 2.44563e7i | 0.619207 | + | 1.34682i | ||||
\(802\) | 2.35419e7 | + | 1.68259e7i | 1.29243 | + | 0.923723i | ||||
\(803\) | 5.65012e6i | 0.309221i | ||||||||
\(804\) | 1.87255e7 | − | 1.13572e7i | 1.02163 | − | 0.619626i | ||||
\(805\) | 1.41123e7 | − | 4.61476e6i | 0.767553 | − | 0.250992i | ||||
\(806\) | 2.54436e7 | − | 3.55994e7i | 1.37956 | − | 1.93021i | ||||
\(807\) | −9.03613e6 | + | 1.97770e6i | −0.488426 | + | 0.106900i | ||||
\(808\) | −335446. | + | 1.12077e6i | −0.0180756 | + | 0.0603930i | ||||
\(809\) | − | 2.89302e7i | − | 1.55410i | −0.629436 | − | 0.777052i | \(-0.716714\pi\) | ||
0.629436 | − | 0.777052i | \(-0.283286\pi\) | |||||||
\(810\) | 1.58467e7 | − | 9.87730e6i | 0.848645 | − | 0.528963i | ||||
\(811\) | − | 2.47943e6i | − | 0.132373i | −0.997807 | − | 0.0661867i | \(-0.978917\pi\) | ||
0.997807 | − | 0.0661867i | \(-0.0210833\pi\) | |||||||
\(812\) | −1.75514e7 | + | 6.00635e6i | −0.934162 | + | 0.319684i | ||||
\(813\) | −2.09523e7 | + | 4.58574e6i | −1.11174 | + | 0.243323i | ||||
\(814\) | 8.71732e6 | + | 6.23045e6i | 0.461129 | + | 0.329578i | ||||
\(815\) | 6.14337e6 | + | 1.87869e7i | 0.323976 | + | 0.990744i | ||||
\(816\) | −1.26422e7 | − | 1.05597e7i | −0.664655 | − | 0.555170i | ||||
\(817\) | − | 251895.i | − | 0.0132028i | ||||||
\(818\) | 1.31442e6 | − | 1.83907e6i | 0.0686834 | − | 0.0960983i | ||||
\(819\) | 1.45472e7 | + | 3.16411e7i | 0.757825 | + | 1.64832i | ||||
\(820\) | −7.64741e6 | − | 1.01486e7i | −0.397173 | − | 0.527075i | ||||
\(821\) | 5.66176e6i | 0.293152i | 0.989199 | + | 0.146576i | \(0.0468254\pi\) | ||||
−0.989199 | + | 0.146576i | \(0.953175\pi\) | |||||||
\(822\) | −1.19881e7 | − | 5.14026e6i | −0.618828 | − | 0.265342i | ||||
\(823\) | −62728.0 | −0.00322821 | −0.00161410 | − | 0.999999i | \(-0.500514\pi\) | ||||
−0.00161410 | + | 0.999999i | \(0.500514\pi\) | |||||||
\(824\) | −1.54824e7 | − | 4.63390e6i | −0.794367 | − | 0.237754i | ||||
\(825\) | 1.61428e7 | + | 1.42513e7i | 0.825743 | + | 0.728985i | ||||
\(826\) | −1.35301e7 | + | 1.89306e7i | −0.690003 | + | 0.965417i | ||||
\(827\) | 2.62578e7i | 1.33504i | 0.744591 | + | 0.667521i | \(0.232645\pi\) | ||||
−0.744591 | + | 0.667521i | \(0.767355\pi\) | |||||||
\(828\) | 1.23534e7 | − | 1.17568e7i | 0.626194 | − | 0.595953i | ||||
\(829\) | −3.28939e7 | −1.66238 | −0.831188 | − | 0.555992i | \(-0.812338\pi\) | ||||
−0.831188 | + | 0.555992i | \(0.812338\pi\) | |||||||
\(830\) | 3.58522e6 | − | 1.14081e7i | 0.180643 | − | 0.574804i | ||||
\(831\) | 2.52854e7 | − | 5.53411e6i | 1.27019 | − | 0.278000i | ||||
\(832\) | −2.13030e7 | + | 3.24000e7i | −1.06692 | + | 1.62269i | ||||
\(833\) | 2.20822e6 | 0.110263 | ||||||||
\(834\) | −4.02620e6 | + | 9.38987e6i | −0.200438 | + | 0.467460i | ||||
\(835\) | −1.04127e7 | + | 3.40499e6i | −0.516831 | + | 0.169005i | ||||
\(836\) | −1.73004e7 | + | 5.92046e6i | −0.856133 | + | 0.292981i | ||||
\(837\) | −1.97657e7 | + | 1.49142e7i | −0.975211 | + | 0.735843i | ||||
\(838\) | 1.10063e7 | − | 1.53994e7i | 0.541415 | − | 0.757520i | ||||
\(839\) | 1.61524e7 | 0.792196 | 0.396098 | − | 0.918208i | \(-0.370364\pi\) | ||||
0.396098 | + | 0.918208i | \(0.370364\pi\) | |||||||
\(840\) | 1.85533e7 | − | 4.55399e6i | 0.907242 | − | 0.222686i | ||||
\(841\) | −2.40158e6 | −0.117087 | ||||||||
\(842\) | 1.51073e7 | − | 2.11373e7i | 0.734355 | − | 1.02747i | ||||
\(843\) | 1.88777e7 | − | 4.13169e6i | 0.914913 | − | 0.200243i | ||||
\(844\) | −1.68881e7 | + | 5.77934e6i | −0.816063 | + | 0.279269i | ||||
\(845\) | 1.78789e7 | + | 5.46751e7i | 0.861388 | + | 2.63419i | ||||
\(846\) | −6.86519e6 | − | 1.31747e6i | −0.329782 | − | 0.0632869i | ||||
\(847\) | −4.15972e6 | −0.199231 | ||||||||
\(848\) | 1.23699e7 | − | 9.58937e6i | 0.590715 | − | 0.457932i | ||||
\(849\) | 1.25613e6 | + | 5.73925e6i | 0.0598087 | + | 0.273266i | ||||
\(850\) | 210637. | + | 1.82408e7i | 0.00999972 | + | 0.865956i | ||||
\(851\) | −9.39758e6 | −0.444828 | ||||||||
\(852\) | 4.01599e6 | − | 2.43573e6i | 0.189537 | − | 0.114956i | ||||
\(853\) | 3.14182e7i | 1.47846i | 0.673455 | + | 0.739228i | \(0.264810\pi\) | ||||
−0.673455 | + | 0.739228i | \(0.735190\pi\) | |||||||
\(854\) | 913626. | − | 1.27830e6i | 0.0428671 | − | 0.0599774i | ||||
\(855\) | 1.28846e7 | − | 1.19307e7i | 0.602776 | − | 0.558152i | ||||
\(856\) | 3.34218e6 | − | 1.11666e7i | 0.155900 | − | 0.520880i | ||||
\(857\) | −2.02060e7 | −0.939783 | −0.469891 | − | 0.882724i | \(-0.655707\pi\) | ||||
−0.469891 | + | 0.882724i | \(0.655707\pi\) | |||||||
\(858\) | −1.81777e7 | + | 4.23938e7i | −0.842984 | + | 1.96600i | ||||
\(859\) | 2.66482e7i | 1.23221i | 0.787663 | + | 0.616106i | \(0.211291\pi\) | ||||
−0.787663 | + | 0.616106i | \(0.788709\pi\) | |||||||
\(860\) | −278389. | + | 209778.i | −0.0128353 | + | 0.00967192i | ||||
\(861\) | −1.31007e7 | + | 2.86731e6i | −0.602265 | + | 0.131815i | ||||
\(862\) | 1.38538e7 | − | 1.93835e7i | 0.635038 | − | 0.888513i | ||||
\(863\) | − | 1.42426e6i | − | 0.0650971i | −0.999470 | − | 0.0325485i | \(-0.989638\pi\) | ||
0.999470 | − | 0.0325485i | \(-0.0103624\pi\) | |||||||
\(864\) | 1.69883e7 | − | 1.38877e7i | 0.774221 | − | 0.632915i | ||||
\(865\) | 6.00923e6 | + | 1.83767e7i | 0.273073 | + | 0.835079i | ||||
\(866\) | −3.32491e7 | − | 2.37638e7i | −1.50656 | − | 1.07677i | ||||
\(867\) | 1.18315e6 | + | 5.40583e6i | 0.0534556 | + | 0.244239i | ||||
\(868\) | −2.39682e7 | + | 8.20227e6i | −1.07978 | + | 0.369517i | ||||
\(869\) | 2.79997e7i | 1.25778i | ||||||||
\(870\) | 2.35027e7 | + | 2.09791e6i | 1.05274 | + | 0.0939700i | ||||
\(871\) | − | 5.19533e7i | − | 2.32043i | ||||||
\(872\) | −2.36529e7 | − | 7.07933e6i | −1.05340 | − | 0.315283i | ||||
\(873\) | −5.80681e6 | − | 1.26302e7i | −0.257870 | − | 0.560886i | ||||
\(874\) | 9.32524e6 | − | 1.30474e7i | 0.412935 | − | 0.577757i | ||||
\(875\) | −1.71861e7 | − | 1.23387e7i | −0.758851 | − | 0.544815i | ||||
\(876\) | −3.30649e6 | − | 5.45169e6i | −0.145582 | − | 0.240033i | ||||
\(877\) | − | 8.98989e6i | − | 0.394689i | −0.980334 | − | 0.197345i | \(-0.936768\pi\) | ||
0.980334 | − | 0.197345i | \(-0.0632318\pi\) | |||||||
\(878\) | 3.22608e7 | + | 2.30574e7i | 1.41234 | + | 1.00943i | ||||
\(879\) | −164000. | − | 749315.i | −0.00715930 | − | 0.0327109i | ||||
\(880\) | 2.09509e7 | + | 1.41895e7i | 0.912002 | + | 0.617675i | ||||
\(881\) | 4.12652e6i | 0.179120i | 0.995981 | + | 0.0895600i | \(0.0285461\pi\) | ||||
−0.995981 | + | 0.0895600i | \(0.971454\pi\) | |||||||
\(882\) | −554383. | + | 2.88884e6i | −0.0239960 | + | 0.125041i | ||||
\(883\) | −3.78957e7 | −1.63564 | −0.817820 | − | 0.575474i | \(-0.804818\pi\) | ||||
−0.817820 | + | 0.575474i | \(0.804818\pi\) | |||||||
\(884\) | −3.69710e7 | + | 1.26520e7i | −1.59122 | + | 0.544540i | ||||
\(885\) | 2.55142e7 | − | 1.50010e7i | 1.09502 | − | 0.643817i | ||||
\(886\) | −1.31170e7 | − | 9.37501e6i | −0.561373 | − | 0.401224i | ||||
\(887\) | − | 3.04873e7i | − | 1.30110i | −0.759465 | − | 0.650548i | \(-0.774539\pi\) | ||
0.759465 | − | 0.650548i | \(-0.225461\pi\) | |||||||
\(888\) | −1.20573e7 | − | 910195.i | −0.513117 | − | 0.0387348i | ||||
\(889\) | −4.57905e6 | −0.194321 | ||||||||
\(890\) | 1.05020e7 | − | 3.34173e7i | 0.444423 | − | 1.41415i | ||||
\(891\) | 1.69928e7 | − | 1.98130e7i | 0.717085 | − | 0.836097i | ||||
\(892\) | −1.35779e7 | − | 3.96765e7i | −0.571373 | − | 1.66963i | ||||
\(893\) | −6.57384e6 | −0.275861 | ||||||||
\(894\) | −1.00296e7 | + | 2.33910e7i | −0.419701 | + | 0.978824i | ||||
\(895\) | 3.30856e6 | + | 1.01179e7i | 0.138064 | + | 0.422212i | ||||
\(896\) | 2.09409e7 | − | 8.08922e6i | 0.871416 | − | 0.336617i | ||||
\(897\) | −8.64958e6 | − | 3.95200e7i | −0.358933 | − | 1.63997i | ||||
\(898\) | 3.45193e7 | + | 2.46717e7i | 1.42847 | + | 1.02096i | ||||
\(899\) | −3.12896e7 | −1.29122 | ||||||||
\(900\) | −2.39158e7 | − | 4.30387e6i | −0.984190 | − | 0.177114i | ||||
\(901\) | 1.57727e7 | 0.647281 | ||||||||
\(902\) | −1.44514e7 | − | 1.03287e7i | −0.591416 | − | 0.422697i | ||||
\(903\) | 78653.6 | + | 359369.i | 0.00320996 | + | 0.0146663i | ||||
\(904\) | 1.09247e6 | + | 326976.i | 0.0444619 | + | 0.0133074i | ||||
\(905\) | −1.13370e7 | − | 3.46695e7i | −0.460127 | − | 1.40711i | ||||
\(906\) | 6.66063e6 | − | 1.55339e7i | 0.269584 | − | 0.628723i | ||||
\(907\) | −4.26769e6 | −0.172256 | −0.0861280 | − | 0.996284i | \(-0.527449\pi\) | ||||
−0.0861280 | + | 0.996284i | \(0.527449\pi\) | |||||||
\(908\) | 1.18341e7 | − | 4.04980e6i | 0.476343 | − | 0.163012i | ||||
\(909\) | −656014. | − | 1.42688e6i | −0.0263332 | − | 0.0572766i | ||||
\(910\) | 1.35873e7 | − | 4.32347e7i | 0.543913 | − | 1.73073i | ||||
\(911\) | −5.34648e6 | −0.213438 | −0.106719 | − | 0.994289i | \(-0.534035\pi\) | ||||
−0.106719 | + | 0.994289i | \(0.534035\pi\) | |||||||
\(912\) | 1.32281e7 | − | 1.58369e7i | 0.526638 | − | 0.630496i | ||||
\(913\) | − | 1.67158e7i | − | 0.663667i | ||||||
\(914\) | −4.43665e6 | − | 3.17096e6i | −0.175667 | − | 0.125553i | ||||
\(915\) | −1.72286e6 | + | 1.01295e6i | −0.0680294 | + | 0.0399977i | ||||
\(916\) | 1.07851e6 | + | 3.15156e6i | 0.0424703 | + | 0.124104i | ||||
\(917\) | −1.93443e7 | −0.759677 | ||||||||
\(918\) | 2.21048e7 | − | 571937.i | 0.865724 | − | 0.0223996i | ||||
\(919\) | 2.59878e7i | 1.01503i | 0.861642 | + | 0.507516i | \(0.169436\pi\) | ||||
−0.861642 | + | 0.507516i | \(0.830564\pi\) | |||||||
\(920\) | −2.21857e7 | + | 559804.i | −0.864179 | + | 0.0218055i | ||||
\(921\) | 3.76569e6 | + | 1.72054e7i | 0.146283 | + | 0.668370i | ||||
\(922\) | −3.79693e6 | − | 2.71374e6i | −0.147097 | − | 0.105133i | ||||
\(923\) | − | 1.11422e7i | − | 0.430495i | ||||||
\(924\) | 2.28332e7 | − | 1.38485e7i | 0.879804 | − | 0.533608i | ||||
\(925\) | 7.91162e6 | + | 1.08036e7i | 0.304026 | + | 0.415160i | ||||
\(926\) | −1.34372e7 | + | 1.88007e7i | −0.514970 | + | 0.720520i | ||||
\(927\) | 1.97111e7 | − | 9.06229e6i | 0.753376 | − | 0.346369i | ||||
\(928\) | 2.77067e7 | − | 1.07854e6i | 1.05612 | − | 0.0411119i | ||||
\(929\) | − | 566032.i | − | 0.0215180i | −0.999942 | − | 0.0107590i | \(-0.996575\pi\) | ||
0.999942 | − | 0.0107590i | \(-0.00342476\pi\) | |||||||
\(930\) | 3.20953e7 | + | 2.86491e6i | 1.21684 | + | 0.108618i | ||||
\(931\) | 2.76624e6i | 0.104596i | ||||||||
\(932\) | 11484.7 | + | 33559.9i | 0.000433091 | + | 0.00126555i | ||||
\(933\) | −9.79119e6 | − | 4.47360e7i | −0.368240 | − | 1.68249i | ||||
\(934\) | 2.80028e7 | + | 2.00142e7i | 1.05035 | + | 0.750707i | ||||
\(935\) | 7.92544e6 | + | 2.42366e7i | 0.296479 | + | 0.906657i | ||||
\(936\) | −7.26990e6 | − | 5.15426e7i | −0.271231 | − | 1.92299i | ||||
\(937\) | 2.24464e7i | 0.835213i | 0.908628 | + | 0.417606i | \(0.137131\pi\) | ||||
−0.908628 | + | 0.417606i | \(0.862869\pi\) | |||||||
\(938\) | −1.74894e7 | + | 2.44703e7i | −0.649036 | + | 0.908099i | ||||
\(939\) | −5.00059e6 | + | 1.09446e6i | −0.185079 | + | 0.0405075i | ||||
\(940\) | 5.47467e6 | + | 7.26525e6i | 0.202087 | + | 0.268183i | ||||
\(941\) | 1.65433e7i | 0.609043i | 0.952505 | + | 0.304522i | \(0.0984966\pi\) | ||||
−0.952505 | + | 0.304522i | \(0.901503\pi\) | |||||||
\(942\) | −4.76335e6 | + | 1.11091e7i | −0.174898 | + | 0.407897i | ||||
\(943\) | 1.55791e7 | 0.570510 | ||||||||
\(944\) | 2.74875e7 | − | 2.13087e7i | 1.00393 | − | 0.778265i | ||||
\(945\) | −1.46566e7 | + | 2.10443e7i | −0.533892 | + | 0.766575i | ||||
\(946\) | −283328. | + | 396418.i | −0.0102935 | + | 0.0144021i | ||||
\(947\) | 3.74336e7i | 1.35640i | 0.734879 | + | 0.678199i | \(0.237239\pi\) | ||||
−0.734879 | + | 0.678199i | \(0.762761\pi\) | |||||||
\(948\) | −1.63856e7 | − | 2.70163e7i | −0.592163 | − | 0.976350i | ||||
\(949\) | −1.51255e7 | −0.545186 | ||||||||
\(950\) | −2.28502e7 | + | 263866.i | −0.821451 | + | 0.00948580i | ||||
\(951\) | 9.83007e6 | + | 4.49136e7i | 0.352456 | + | 1.61037i | ||||
\(952\) | 2.16728e7 | + | 6.48667e6i | 0.775036 | + | 0.231969i | ||||
\(953\) | 2.57737e7 | 0.919271 | 0.459636 | − | 0.888108i | \(-0.347980\pi\) | ||||
0.459636 | + | 0.888108i | \(0.347980\pi\) | |||||||
\(954\) | −3.95980e6 | + | 2.06341e7i | −0.140865 | + | 0.734032i | ||||
\(955\) | 1.11646e6 | + | 3.41421e6i | 0.0396126 | + | 0.121138i | ||||
\(956\) | 1.14751e7 | + | 3.35318e7i | 0.406079 | + | 1.18662i | ||||
\(957\) | 3.22212e7 | − | 7.05212e6i | 1.13727 | − | 0.248909i | ||||
\(958\) | −2.20609e7 | + | 3.08665e7i | −0.776622 | + | 1.08661i | ||||
\(959\) | 1.79140e7 | 0.628993 | ||||||||
\(960\) | −2.85189e7 | − | 1.43054e6i | −0.998744 | − | 0.0500981i | ||||
\(961\) | −1.40999e7 | −0.492500 | ||||||||
\(962\) | −1.66791e7 | + | 2.33365e7i | −0.581077 | + | 0.813014i | ||||
\(963\) | 6.53613e6 | + | 1.42165e7i | 0.227120 | + | 0.494001i | ||||
\(964\) | −4.28923e6 | − | 1.25337e7i | −0.148657 | − | 0.434398i | ||||
\(965\) | −1.69381e6 | + | 553881.i | −0.0585527 | + | 0.0191469i | ||||
\(966\) | −9.22992e6 | + | 2.15260e7i | −0.318240 | + | 0.742198i | ||||
\(967\) | 4.39195e6 | 0.151040 | 0.0755199 | − | 0.997144i | \(-0.475938\pi\) | ||||
0.0755199 | + | 0.997144i | \(0.475938\pi\) | |||||||
\(968\) | 5.95645e6 | + | 1.78277e6i | 0.204315 | + | 0.0611514i | ||||
\(969\) | 2.03135e7 | − | 4.44593e6i | 0.694984 | − | 0.152108i | ||||
\(970\) | −5.42365e6 | + | 1.72580e7i | −0.185081 | + | 0.588928i | ||||
\(971\) | 3.71092e7 | 1.26309 | 0.631544 | − | 0.775340i | \(-0.282421\pi\) | ||||
0.631544 | + | 0.775340i | \(0.282421\pi\) | |||||||
\(972\) | −4.80128e6 | + | 2.90615e7i | −0.163002 | + | 0.986626i | ||||
\(973\) | − | 1.40315e7i | − | 0.475139i | ||||||
\(974\) | 3.15328e7 | − | 4.41191e7i | 1.06504 | − | 1.49015i | ||||
\(975\) | −3.81510e7 | + | 4.32147e7i | −1.28527 | + | 1.45586i | ||||
\(976\) | −1.85611e6 | + | 1.43888e6i | −0.0623703 | + | 0.0483504i | ||||
\(977\) | 5.66630e7 | 1.89917 | 0.949584 | − | 0.313514i | \(-0.101506\pi\) | ||||
0.949584 | + | 0.313514i | \(0.101506\pi\) | |||||||
\(978\) | −2.86563e7 | − | 1.22873e7i | −0.958016 | − | 0.410779i | ||||
\(979\) | − | 4.89648e7i | − | 1.63278i | ||||||
\(980\) | 3.05718e6 | − | 2.30371e6i | 0.101685 | − | 0.0766237i | ||||
\(981\) | 3.01132e7 | − | 1.38447e7i | 0.999042 | − | 0.459315i | ||||
\(982\) | 2.42002e7 | − | 3.38596e7i | 0.800829 | − | 1.12048i | ||||
\(983\) | − | 4.13391e7i | − | 1.36451i | −0.731114 | − | 0.682255i | \(-0.760999\pi\) | ||
0.731114 | − | 0.682255i | \(-0.239001\pi\) | |||||||
\(984\) | 1.99883e7 | + | 1.50890e6i | 0.658093 | + | 0.0496790i | ||||
\(985\) | −1.14894e7 | − | 3.51356e7i | −0.377319 | − | 1.15387i | ||||
\(986\) | 2.27328e7 | + | 1.62476e7i | 0.744665 | + | 0.532227i | ||||
\(987\) | 9.37863e6 | − | 2.05266e6i | 0.306441 | − | 0.0670695i | ||||
\(988\) | −1.58492e7 | − | 4.63137e7i | −0.516554 | − | 1.50944i | ||||
\(989\) | − | 427353.i | − | 0.0138930i | ||||||
\(990\) | −3.36966e7 | + | 4.28351e6i | −1.09269 | + | 0.138903i | ||||
\(991\) | − | 1.73484e7i | − | 0.561147i | −0.959833 | − | 0.280573i | \(-0.909475\pi\) | ||
0.959833 | − | 0.280573i | \(-0.0905246\pi\) | |||||||
\(992\) | 3.78362e7 | − | 1.47286e6i | 1.22075 | − | 0.0475205i | ||||
\(993\) | −3.48808e7 | + | 7.63423e6i | −1.12257 | + | 0.245693i | ||||
\(994\) | −3.75090e6 | + | 5.24806e6i | −0.120412 | + | 0.168474i | ||||
\(995\) | 4.91909e7 | − | 1.60856e7i | 1.57517 | − | 0.515084i | ||||
\(996\) | 9.78221e6 | + | 1.61288e7i | 0.312456 | + | 0.515172i | ||||
\(997\) | 2.58508e7i | 0.823639i | 0.911265 | + | 0.411819i | \(0.135107\pi\) | ||||
−0.911265 | + | 0.411819i | \(0.864893\pi\) | |||||||
\(998\) | 2.27726e7 | + | 1.62760e7i | 0.723747 | + | 0.517276i | ||||
\(999\) | 1.29570e7 | − | 9.77669e6i | 0.410763 | − | 0.309940i |
(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 | 60.6.h.c.59.15 | yes | 48 | |
3.2 | odd | 2 | inner | 60.6.h.c.59.33 | yes | 48 | |
4.3 | odd | 2 | inner | 60.6.h.c.59.14 | yes | 48 | |
5.4 | even | 2 | inner | 60.6.h.c.59.34 | yes | 48 | |
12.11 | even | 2 | inner | 60.6.h.c.59.36 | yes | 48 | |
15.14 | odd | 2 | inner | 60.6.h.c.59.16 | yes | 48 | |
20.19 | odd | 2 | inner | 60.6.h.c.59.35 | yes | 48 | |
60.59 | even | 2 | inner | 60.6.h.c.59.13 | ✓ | 48 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
60.6.h.c.59.13 | ✓ | 48 | 60.59 | even | 2 | inner | |
60.6.h.c.59.14 | yes | 48 | 4.3 | odd | 2 | inner | |
60.6.h.c.59.15 | yes | 48 | 1.1 | even | 1 | trivial | |
60.6.h.c.59.16 | yes | 48 | 15.14 | odd | 2 | inner | |
60.6.h.c.59.33 | yes | 48 | 3.2 | odd | 2 | inner | |
60.6.h.c.59.34 | yes | 48 | 5.4 | even | 2 | inner | |
60.6.h.c.59.35 | yes | 48 | 20.19 | odd | 2 | inner | |
60.6.h.c.59.36 | yes | 48 | 12.11 | even | 2 | inner |