Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5,13,Mod(2,5)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5.2");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 5.c (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.56996908638\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} + 7950x^{8} + 16939113x^{6} + 4574579500x^{4} + 337520899536x^{2} + 6615595526400 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 2^{13}\cdot 3^{2}\cdot 5^{9} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 2.2 | ||
Root | \(60.9123i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5.2 |
Dual form | 5.13.c.a.3.2 |
$q$-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 \(\left(\mathbb{Z}/5\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −54.8437 | − | 54.8437i | −0.856932 | − | 0.856932i | 0.134043 | − | 0.990976i | \(-0.457204\pi\) |
−0.990976 | + | 0.134043i | \(0.957204\pi\) | |||||||
\(3\) | −506.429 | + | 506.429i | −0.694690 | + | 0.694690i | −0.963260 | − | 0.268570i | \(-0.913449\pi\) |
0.268570 | + | 0.963260i | \(0.413449\pi\) | |||||||
\(4\) | 1919.66i | 0.468666i | ||||||||
\(5\) | 15616.9 | + | 502.591i | 0.999483 | + | 0.0321658i | ||||
\(6\) | 55548.9 | 1.19060 | ||||||||
\(7\) | 78559.8 | + | 78559.8i | 0.667748 | + | 0.667748i | 0.957194 | − | 0.289447i | \(-0.0934712\pi\) |
−0.289447 | + | 0.957194i | \(0.593471\pi\) | |||||||
\(8\) | −119359. | + | 119359.i | −0.455317 | + | 0.455317i | ||||
\(9\) | 18500.3i | 0.0348116i | ||||||||
\(10\) | −828925. | − | 884053.i | −0.828925 | − | 0.884053i | ||||
\(11\) | 1.27194e6 | 0.717978 | 0.358989 | − | 0.933342i | \(-0.383122\pi\) | ||||
0.358989 | + | 0.933342i | \(0.383122\pi\) | |||||||
\(12\) | −972170. | − | 972170.i | −0.325578 | − | 0.325578i | ||||
\(13\) | −3.53518e6 | + | 3.53518e6i | −0.732405 | + | 0.732405i | −0.971096 | − | 0.238691i | \(-0.923282\pi\) |
0.238691 | + | 0.971096i | \(0.423282\pi\) | |||||||
\(14\) | − | 8.61702e6i | − | 1.14443i | ||||||
\(15\) | −8.16339e6 | + | 7.65433e6i | −0.716676 | + | 0.671985i | ||||
\(16\) | 2.09550e7 | 1.24902 | ||||||||
\(17\) | 2.56603e7 | + | 2.56603e7i | 1.06309 | + | 1.06309i | 0.997871 | + | 0.0652150i | \(0.0207733\pi\) |
0.0652150 | + | 0.997871i | \(0.479227\pi\) | |||||||
\(18\) | 1.01463e6 | − | 1.01463e6i | 0.0298312 | − | 0.0298312i | ||||
\(19\) | − | 5.31802e7i | − | 1.13039i | −0.824957 | − | 0.565195i | \(-0.808801\pi\) | ||
0.824957 | − | 0.565195i | \(-0.191199\pi\) | |||||||
\(20\) | −964803. | + | 2.99791e7i | −0.0150750 | + | 0.468424i | ||||
\(21\) | −7.95700e7 | −0.927755 | ||||||||
\(22\) | −6.97580e7 | − | 6.97580e7i | −0.615259 | − | 0.615259i | ||||
\(23\) | −1.16839e8 | + | 1.16839e8i | −0.789260 | + | 0.789260i | −0.981373 | − | 0.192113i | \(-0.938466\pi\) |
0.192113 | + | 0.981373i | \(0.438466\pi\) | |||||||
\(24\) | − | 1.20893e8i | − | 0.632608i | ||||||
\(25\) | 2.43635e8 | + | 1.56979e7i | 0.997931 | + | 0.0642984i | ||||
\(26\) | 3.87764e8 | 1.25524 | ||||||||
\(27\) | −2.78506e8 | − | 2.78506e8i | −0.718873 | − | 0.718873i | ||||
\(28\) | −1.50808e8 | + | 1.50808e8i | −0.312951 | + | 0.312951i | ||||
\(29\) | 8.95459e8i | 1.50542i | 0.658352 | + | 0.752710i | \(0.271254\pi\) | ||||
−0.658352 | + | 0.752710i | \(0.728746\pi\) | |||||||
\(30\) | 8.67502e8 | + | 2.79184e7i | 1.18999 | + | 0.0382968i | ||||
\(31\) | −1.69379e8 | −0.190849 | −0.0954245 | − | 0.995437i | \(-0.530421\pi\) | ||||
−0.0954245 | + | 0.995437i | \(0.530421\pi\) | |||||||
\(32\) | −6.60359e8 | − | 6.60359e8i | −0.615007 | − | 0.615007i | ||||
\(33\) | −6.44148e8 | + | 6.44148e8i | −0.498772 | + | 0.498772i | ||||
\(34\) | − | 2.81461e9i | − | 1.82199i | ||||||
\(35\) | 1.18738e9 | + | 1.26635e9i | 0.645923 | + | 0.688881i | ||||
\(36\) | −3.55143e7 | −0.0163150 | ||||||||
\(37\) | −6.45104e8 | − | 6.45104e8i | −0.251431 | − | 0.251431i | 0.570126 | − | 0.821557i | \(-0.306894\pi\) |
−0.821557 | + | 0.570126i | \(0.806894\pi\) | |||||||
\(38\) | −2.91660e9 | + | 2.91660e9i | −0.968669 | + | 0.968669i | ||||
\(39\) | − | 3.58063e9i | − | 1.01759i | ||||||
\(40\) | −1.92400e9 | + | 1.80402e9i | −0.469727 | + | 0.440436i | ||||
\(41\) | 1.87299e9 | 0.394306 | 0.197153 | − | 0.980373i | \(-0.436830\pi\) | ||||
0.197153 | + | 0.980373i | \(0.436830\pi\) | |||||||
\(42\) | 4.36391e9 | + | 4.36391e9i | 0.795024 | + | 0.795024i | ||||
\(43\) | 4.24875e9 | − | 4.24875e9i | 0.672125 | − | 0.672125i | −0.286081 | − | 0.958206i | \(-0.592353\pi\) |
0.958206 | + | 0.286081i | \(0.0923525\pi\) | |||||||
\(44\) | 2.44169e9i | 0.336492i | ||||||||
\(45\) | −9.29811e6 | + | 2.88918e8i | −0.00111975 | + | 0.0347936i | ||||
\(46\) | 1.28157e10 | 1.35269 | ||||||||
\(47\) | −3.40998e9 | − | 3.40998e9i | −0.316348 | − | 0.316348i | 0.531015 | − | 0.847363i | \(-0.321811\pi\) |
−0.847363 | + | 0.531015i | \(0.821811\pi\) | |||||||
\(48\) | −1.06122e10 | + | 1.06122e10i | −0.867680 | + | 0.867680i | ||||
\(49\) | − | 1.49799e9i | − | 0.108226i | ||||||
\(50\) | −1.25009e10 | − | 1.42228e10i | −0.800060 | − | 0.910259i | ||||
\(51\) | −2.59903e10 | −1.47703 | ||||||||
\(52\) | −6.78633e9 | − | 6.78633e9i | −0.343253 | − | 0.343253i | ||||
\(53\) | 2.01462e10 | − | 2.01462e10i | 0.908946 | − | 0.908946i | −0.0872416 | − | 0.996187i | \(-0.527805\pi\) |
0.996187 | + | 0.0872416i | \(0.0278052\pi\) | |||||||
\(54\) | 3.05486e10i | 1.23205i | ||||||||
\(55\) | 1.98638e10 | + | 6.39267e8i | 0.717606 | + | 0.0230944i | ||||
\(56\) | −1.87536e10 | −0.608074 | ||||||||
\(57\) | 2.69320e10 | + | 2.69320e10i | 0.785271 | + | 0.785271i | ||||
\(58\) | 4.91103e10 | − | 4.91103e10i | 1.29004 | − | 1.29004i | ||||
\(59\) | 4.54399e10i | 1.07727i | 0.842539 | + | 0.538636i | \(0.181060\pi\) | ||||
−0.842539 | + | 0.538636i | \(0.818940\pi\) | |||||||
\(60\) | −1.46937e10 | − | 1.56709e10i | −0.314937 | − | 0.335882i | ||||
\(61\) | −3.24024e10 | −0.628925 | −0.314462 | − | 0.949270i | \(-0.601824\pi\) | ||||
−0.314462 | + | 0.949270i | \(0.601824\pi\) | |||||||
\(62\) | 9.28937e9 | + | 9.28937e9i | 0.163545 | + | 0.163545i | ||||
\(63\) | −1.45338e9 | + | 1.45338e9i | −0.0232454 | + | 0.0232454i | ||||
\(64\) | − | 1.33989e10i | − | 0.194979i | ||||||
\(65\) | −5.69853e10 | + | 5.34318e10i | −0.755584 | + | 0.708467i | ||||
\(66\) | 7.06549e10 | 0.854828 | ||||||||
\(67\) | −1.79028e10 | − | 1.79028e10i | −0.197912 | − | 0.197912i | 0.601192 | − | 0.799104i | \(-0.294693\pi\) |
−0.799104 | + | 0.601192i | \(0.794693\pi\) | |||||||
\(68\) | −4.92590e10 | + | 4.92590e10i | −0.498233 | + | 0.498233i | ||||
\(69\) | − | 1.18341e11i | − | 1.09658i | ||||||
\(70\) | 4.33084e9 | − | 1.34571e11i | 0.0368115 | − | 1.14384i | ||||
\(71\) | −9.83693e9 | −0.0767909 | −0.0383954 | − | 0.999263i | \(-0.512225\pi\) | ||||
−0.0383954 | + | 0.999263i | \(0.512225\pi\) | |||||||
\(72\) | −2.20817e9 | − | 2.20817e9i | −0.0158503 | − | 0.0158503i | ||||
\(73\) | −1.11985e10 | + | 1.11985e10i | −0.0739988 | + | 0.0739988i | −0.743138 | − | 0.669139i | \(-0.766663\pi\) |
0.669139 | + | 0.743138i | \(0.266663\pi\) | |||||||
\(74\) | 7.07598e10i | 0.430919i | ||||||||
\(75\) | −1.31334e11 | + | 1.15434e11i | −0.737920 | + | 0.648585i | ||||
\(76\) | 1.02088e11 | 0.529776 | ||||||||
\(77\) | 9.99235e10 | + | 9.99235e10i | 0.479428 | + | 0.479428i | ||||
\(78\) | −1.96375e11 | + | 1.96375e11i | −0.872004 | + | 0.872004i | ||||
\(79\) | − | 1.98262e11i | − | 0.815598i | −0.913072 | − | 0.407799i | \(-0.866296\pi\) | ||
0.913072 | − | 0.407799i | \(-0.133704\pi\) | |||||||
\(80\) | 3.27253e11 | + | 1.05318e10i | 1.24837 | + | 0.0401757i | ||||
\(81\) | 2.72255e11 | 0.963977 | ||||||||
\(82\) | −1.02722e11 | − | 1.02722e11i | −0.337893 | − | 0.337893i | ||||
\(83\) | 1.02047e11 | − | 1.02047e11i | 0.312128 | − | 0.312128i | −0.533606 | − | 0.845733i | \(-0.679163\pi\) |
0.845733 | + | 0.533606i | \(0.179163\pi\) | |||||||
\(84\) | − | 1.52747e11i | − | 0.434808i | ||||||
\(85\) | 3.87838e11 | + | 4.13632e11i | 1.02834 | + | 1.09673i | ||||
\(86\) | −4.66034e11 | −1.15193 | ||||||||
\(87\) | −4.53487e11 | − | 4.53487e11i | −1.04580 | − | 1.04580i | ||||
\(88\) | −1.51817e11 | + | 1.51817e11i | −0.326908 | + | 0.326908i | ||||
\(89\) | 1.71978e11i | 0.346045i | 0.984918 | + | 0.173023i | \(0.0553534\pi\) | ||||
−0.984918 | + | 0.173023i | \(0.944647\pi\) | |||||||
\(90\) | 1.63553e10 | − | 1.53354e10i | 0.0307753 | − | 0.0288562i | ||||
\(91\) | −5.55446e11 | −0.978123 | ||||||||
\(92\) | −2.24291e11 | − | 2.24291e11i | −0.369900 | − | 0.369900i | ||||
\(93\) | 8.57785e10 | − | 8.57785e10i | 0.132581 | − | 0.132581i | ||||
\(94\) | 3.74032e11i | 0.542178i | ||||||||
\(95\) | 2.67279e10 | − | 8.30511e11i | 0.0363600 | − | 1.12981i | ||||
\(96\) | 6.68850e11 | 0.854479 | ||||||||
\(97\) | 2.72426e11 | + | 2.72426e11i | 0.327053 | + | 0.327053i | 0.851465 | − | 0.524412i | \(-0.175715\pi\) |
−0.524412 | + | 0.851465i | \(0.675715\pi\) | |||||||
\(98\) | −8.21552e10 | + | 8.21552e10i | −0.0927424 | + | 0.0927424i | ||||
\(99\) | 2.35313e10i | 0.0249940i | ||||||||
\(100\) | −3.01345e10 | + | 4.67697e11i | −0.0301345 | + | 0.467697i | ||||
\(101\) | 1.74091e12 | 1.64001 | 0.820007 | − | 0.572354i | \(-0.193970\pi\) | ||||
0.820007 | + | 0.572354i | \(0.193970\pi\) | |||||||
\(102\) | 1.42540e12 | + | 1.42540e12i | 1.26572 | + | 1.26572i | ||||
\(103\) | −2.00256e11 | + | 2.00256e11i | −0.167711 | + | 0.167711i | −0.785973 | − | 0.618261i | \(-0.787837\pi\) |
0.618261 | + | 0.785973i | \(0.287837\pi\) | |||||||
\(104\) | − | 8.43908e11i | − | 0.666953i | ||||||
\(105\) | −1.24264e12 | − | 3.99912e10i | −0.927275 | − | 0.0298420i | ||||
\(106\) | −2.20978e12 | −1.55781 | ||||||||
\(107\) | −1.27598e12 | − | 1.27598e12i | −0.850237 | − | 0.850237i | 0.139925 | − | 0.990162i | \(-0.455314\pi\) |
−0.990162 | + | 0.139925i | \(0.955314\pi\) | |||||||
\(108\) | 5.34637e11 | − | 5.34637e11i | 0.336912 | − | 0.336912i | ||||
\(109\) | 1.64108e12i | 0.978520i | 0.872138 | + | 0.489260i | \(0.162733\pi\) | ||||
−0.872138 | + | 0.489260i | \(0.837267\pi\) | |||||||
\(110\) | −1.05434e12 | − | 1.12446e12i | −0.595150 | − | 0.634731i | ||||
\(111\) | 6.53399e11 | 0.349334 | ||||||||
\(112\) | 1.64623e12 | + | 1.64623e12i | 0.834029 | + | 0.834029i | ||||
\(113\) | 1.06785e12 | − | 1.06785e12i | 0.512909 | − | 0.512909i | −0.402507 | − | 0.915417i | \(-0.631861\pi\) |
0.915417 | + | 0.402507i | \(0.131861\pi\) | |||||||
\(114\) | − | 2.95410e12i | − | 1.34585i | ||||||
\(115\) | −1.88338e12 | + | 1.76594e12i | −0.814239 | + | 0.763465i | ||||
\(116\) | −1.71898e12 | −0.705540 | ||||||||
\(117\) | −6.54020e10 | − | 6.54020e10i | −0.0254962 | − | 0.0254962i | ||||
\(118\) | 2.49209e12 | − | 2.49209e12i | 0.923149 | − | 0.923149i | ||||
\(119\) | 4.03174e12i | 1.41975i | ||||||||
\(120\) | 6.07599e10 | − | 1.88798e12i | 0.0203484 | − | 0.632281i | ||||
\(121\) | −1.52059e12 | −0.484508 | ||||||||
\(122\) | 1.77707e12 | + | 1.77707e12i | 0.538946 | + | 0.538946i | ||||
\(123\) | −9.48538e11 | + | 9.48538e11i | −0.273920 | + | 0.273920i | ||||
\(124\) | − | 3.25150e11i | − | 0.0894445i | ||||||
\(125\) | 3.79694e12 | + | 3.67601e11i | 0.995346 | + | 0.0963644i | ||||
\(126\) | 1.59418e11 | 0.0398395 | ||||||||
\(127\) | −3.25841e12 | − | 3.25841e12i | −0.776574 | − | 0.776574i | 0.202672 | − | 0.979247i | \(-0.435037\pi\) |
−0.979247 | + | 0.202672i | \(0.935037\pi\) | |||||||
\(128\) | −3.43967e12 | + | 3.43967e12i | −0.782091 | + | 0.782091i | ||||
\(129\) | 4.30338e12i | 0.933837i | ||||||||
\(130\) | 6.05568e12 | + | 1.94887e11i | 1.25459 | + | 0.0403759i | ||||
\(131\) | 6.35834e12 | 1.25810 | 0.629051 | − | 0.777364i | \(-0.283443\pi\) | ||||
0.629051 | + | 0.777364i | \(0.283443\pi\) | |||||||
\(132\) | −1.23654e12 | − | 1.23654e12i | −0.233758 | − | 0.233758i | ||||
\(133\) | 4.17783e12 | − | 4.17783e12i | 0.754816 | − | 0.754816i | ||||
\(134\) | 1.96371e12i | 0.339195i | ||||||||
\(135\) | −4.20943e12 | − | 4.48938e12i | −0.695378 | − | 0.741624i | ||||
\(136\) | −6.12556e12 | −0.968083 | ||||||||
\(137\) | −3.91400e12 | − | 3.91400e12i | −0.591968 | − | 0.591968i | 0.346195 | − | 0.938163i | \(-0.387474\pi\) |
−0.938163 | + | 0.346195i | \(0.887474\pi\) | |||||||
\(138\) | −6.49026e12 | + | 6.49026e12i | −0.939697 | + | 0.939697i | ||||
\(139\) | − | 1.23384e13i | − | 1.71068i | −0.518063 | − | 0.855342i | \(-0.673347\pi\) | ||
0.518063 | − | 0.855342i | \(-0.326653\pi\) | |||||||
\(140\) | −2.43095e12 | + | 2.27936e12i | −0.322855 | + | 0.302723i | ||||
\(141\) | 3.45383e12 | 0.439527 | ||||||||
\(142\) | 5.39494e11 | + | 5.39494e11i | 0.0658046 | + | 0.0658046i | ||||
\(143\) | −4.49654e12 | + | 4.49654e12i | −0.525850 | + | 0.525850i | ||||
\(144\) | 3.87675e11i | 0.0434804i | ||||||||
\(145\) | −4.50050e11 | + | 1.39843e13i | −0.0484231 | + | 1.50464i | ||||
\(146\) | 1.22834e12 | 0.126824 | ||||||||
\(147\) | 7.58625e11 | + | 7.58625e11i | 0.0751836 | + | 0.0751836i | ||||
\(148\) | 1.23838e12 | − | 1.23838e12i | 0.117837 | − | 0.117837i | ||||
\(149\) | − | 1.42078e13i | − | 1.29840i | −0.760617 | − | 0.649200i | \(-0.775104\pi\) | ||
0.760617 | − | 0.649200i | \(-0.224896\pi\) | |||||||
\(150\) | 1.35337e13 | + | 8.71998e11i | 1.18814 | + | 0.0765540i | ||||
\(151\) | 9.94655e12 | 0.839095 | 0.419547 | − | 0.907733i | \(-0.362189\pi\) | ||||
0.419547 | + | 0.907733i | \(0.362189\pi\) | |||||||
\(152\) | 6.34752e12 | + | 6.34752e12i | 0.514686 | + | 0.514686i | ||||
\(153\) | −4.74724e11 | + | 4.74724e11i | −0.0370078 | + | 0.0370078i | ||||
\(154\) | − | 1.09603e13i | − | 0.821675i | ||||||
\(155\) | −2.64518e12 | − | 8.51285e10i | −0.190750 | − | 0.00613882i | ||||
\(156\) | 6.87359e12 | 0.476909 | ||||||||
\(157\) | 8.04948e12 | + | 8.04948e12i | 0.537489 | + | 0.537489i | 0.922791 | − | 0.385301i | \(-0.125902\pi\) |
−0.385301 | + | 0.922791i | \(0.625902\pi\) | |||||||
\(158\) | −1.08734e13 | + | 1.08734e13i | −0.698912 | + | 0.698912i | ||||
\(159\) | 2.04052e13i | 1.26287i | ||||||||
\(160\) | −9.98088e12 | − | 1.06447e13i | −0.594907 | − | 0.634471i | ||||
\(161\) | −1.83577e13 | −1.05405 | ||||||||
\(162\) | −1.49315e13 | − | 1.49315e13i | −0.826063 | − | 0.826063i | ||||
\(163\) | 1.13523e13 | − | 1.13523e13i | 0.605283 | − | 0.605283i | −0.336426 | − | 0.941710i | \(-0.609218\pi\) |
0.941710 | + | 0.336426i | \(0.109218\pi\) | |||||||
\(164\) | 3.59550e12i | 0.184798i | ||||||||
\(165\) | −1.03834e13 | + | 9.73586e12i | −0.514557 | + | 0.482471i | ||||
\(166\) | −1.11933e13 | −0.534944 | ||||||||
\(167\) | −4.22185e12 | − | 4.22185e12i | −0.194627 | − | 0.194627i | 0.603065 | − | 0.797692i | \(-0.293946\pi\) |
−0.797692 | + | 0.603065i | \(0.793946\pi\) | |||||||
\(168\) | 9.49736e12 | − | 9.49736e12i | 0.422423 | − | 0.422423i | ||||
\(169\) | − | 1.69687e12i | − | 0.0728332i | ||||||
\(170\) | 1.41460e12 | − | 4.39556e13i | 0.0586057 | − | 1.82104i | ||||
\(171\) | 9.83852e11 | 0.0393508 | ||||||||
\(172\) | 8.15614e12 | + | 8.15614e12i | 0.315002 | + | 0.315002i | ||||
\(173\) | 8.20643e12 | − | 8.20643e12i | 0.306110 | − | 0.306110i | −0.537288 | − | 0.843399i | \(-0.680551\pi\) |
0.843399 | + | 0.537288i | \(0.180551\pi\) | |||||||
\(174\) | 4.97417e13i | 1.79236i | ||||||||
\(175\) | 1.79067e13 | + | 2.03732e13i | 0.623431 | + | 0.709301i | ||||
\(176\) | 2.66536e13 | 0.896768 | ||||||||
\(177\) | −2.30121e13 | − | 2.30121e13i | −0.748370 | − | 0.748370i | ||||
\(178\) | 9.43191e12 | − | 9.43191e12i | 0.296538 | − | 0.296538i | ||||
\(179\) | 3.70781e13i | 1.12719i | 0.826050 | + | 0.563597i | \(0.190583\pi\) | ||||
−0.826050 | + | 0.563597i | \(0.809417\pi\) | |||||||
\(180\) | −5.54624e11 | − | 1.78492e10i | −0.0163066 | − | 0.000524787i | ||||
\(181\) | −4.86231e13 | −1.38284 | −0.691419 | − | 0.722454i | \(-0.743014\pi\) | ||||
−0.691419 | + | 0.722454i | \(0.743014\pi\) | |||||||
\(182\) | 3.04627e13 | + | 3.04627e13i | 0.838185 | + | 0.838185i | ||||
\(183\) | 1.64095e13 | − | 1.64095e13i | 0.436908 | − | 0.436908i | ||||
\(184\) | − | 2.78914e13i | − | 0.718727i | ||||||
\(185\) | −9.75031e12 | − | 1.03988e13i | −0.243214 | − | 0.259389i | ||||
\(186\) | −9.40882e12 | −0.227226 | ||||||||
\(187\) | 3.26384e13 | + | 3.26384e13i | 0.763272 | + | 0.763272i | ||||
\(188\) | 6.54600e12 | − | 6.54600e12i | 0.148262 | − | 0.148262i | ||||
\(189\) | − | 4.37588e13i | − | 0.960052i | ||||||
\(190\) | −4.70141e13 | + | 4.40824e13i | −0.999325 | + | 0.937009i | ||||
\(191\) | 5.40605e12 | 0.111347 | 0.0556737 | − | 0.998449i | \(-0.482269\pi\) | ||||
0.0556737 | + | 0.998449i | \(0.482269\pi\) | |||||||
\(192\) | 6.78557e12 | + | 6.78557e12i | 0.135450 | + | 0.135450i | ||||
\(193\) | −8.58662e11 | + | 8.58662e11i | −0.0166142 | + | 0.0166142i | −0.715365 | − | 0.698751i | \(-0.753740\pi\) |
0.698751 | + | 0.715365i | \(0.253740\pi\) | |||||||
\(194\) | − | 2.98817e13i | − | 0.560525i | ||||||
\(195\) | 1.79959e12 | − | 5.59184e13i | 0.0327316 | − | 1.01706i | ||||
\(196\) | 2.87562e12 | 0.0507219 | ||||||||
\(197\) | 1.89377e13 | + | 1.89377e13i | 0.323988 | + | 0.323988i | 0.850295 | − | 0.526307i | \(-0.176424\pi\) |
−0.526307 | + | 0.850295i | \(0.676424\pi\) | |||||||
\(198\) | 1.29055e12 | − | 1.29055e12i | 0.0214182 | − | 0.0214182i | ||||
\(199\) | 1.86991e13i | 0.301094i | 0.988603 | + | 0.150547i | \(0.0481034\pi\) | ||||
−0.988603 | + | 0.150547i | \(0.951897\pi\) | |||||||
\(200\) | −3.09537e13 | + | 2.72063e13i | −0.483651 | + | 0.425099i | ||||
\(201\) | 1.81330e13 | 0.274975 | ||||||||
\(202\) | −9.54777e13 | − | 9.54777e13i | −1.40538 | − | 1.40538i | ||||
\(203\) | −7.03472e13 | + | 7.03472e13i | −1.00524 | + | 1.00524i | ||||
\(204\) | − | 4.98924e13i | − | 0.692235i | ||||||
\(205\) | 2.92504e13 | + | 9.41350e11i | 0.394102 | + | 0.0126832i | ||||
\(206\) | 2.19655e13 | 0.287434 | ||||||||
\(207\) | −2.16156e12 | − | 2.16156e12i | −0.0274754 | − | 0.0274754i | ||||
\(208\) | −7.40798e13 | + | 7.40798e13i | −0.914787 | + | 0.914787i | ||||
\(209\) | − | 6.76422e13i | − | 0.811596i | ||||||
\(210\) | 6.59575e13 | + | 7.03441e13i | 0.769040 | + | 0.820185i | ||||
\(211\) | 1.46180e14 | 1.65651 | 0.828255 | − | 0.560352i | \(-0.189334\pi\) | ||||
0.828255 | + | 0.560352i | \(0.189334\pi\) | |||||||
\(212\) | 3.86738e13 | + | 3.86738e13i | 0.425992 | + | 0.425992i | ||||
\(213\) | 4.98171e12 | − | 4.98171e12i | 0.0533458 | − | 0.0533458i | ||||
\(214\) | 1.39958e14i | 1.45719i | ||||||||
\(215\) | 6.84877e13 | − | 6.42169e13i | 0.693397 | − | 0.650158i | ||||
\(216\) | 6.64842e13 | 0.654630 | ||||||||
\(217\) | −1.33064e13 | − | 1.33064e13i | −0.127439 | − | 0.127439i | ||||
\(218\) | 9.00026e13 | − | 9.00026e13i | 0.838525 | − | 0.838525i | ||||
\(219\) | − | 1.13425e13i | − | 0.102812i | ||||||
\(220\) | −1.22717e12 | + | 3.81317e13i | −0.0108236 | + | 0.336318i | ||||
\(221\) | −1.81428e14 | −1.55722 | ||||||||
\(222\) | −3.58348e13 | − | 3.58348e13i | −0.299355 | − | 0.299355i | ||||
\(223\) | −3.47224e13 | + | 3.47224e13i | −0.282345 | + | 0.282345i | −0.834044 | − | 0.551699i | \(-0.813980\pi\) |
0.551699 | + | 0.834044i | \(0.313980\pi\) | |||||||
\(224\) | − | 1.03755e14i | − | 0.821339i | ||||||
\(225\) | −2.90415e11 | + | 4.50734e12i | −0.00223833 | + | 0.0347396i | ||||
\(226\) | −1.17130e14 | −0.879057 | ||||||||
\(227\) | −6.69134e13 | − | 6.69134e13i | −0.489055 | − | 0.489055i | 0.418953 | − | 0.908008i | \(-0.362397\pi\) |
−0.908008 | + | 0.418953i | \(0.862397\pi\) | |||||||
\(228\) | −5.17002e13 | + | 5.17002e13i | −0.368030 | + | 0.368030i | ||||
\(229\) | 9.54919e13i | 0.662146i | 0.943605 | + | 0.331073i | \(0.107411\pi\) | ||||
−0.943605 | + | 0.331073i | \(0.892589\pi\) | |||||||
\(230\) | 2.00142e14 | + | 6.44108e12i | 1.35199 | + | 0.0435103i | ||||
\(231\) | −1.01208e14 | −0.666108 | ||||||||
\(232\) | −1.06881e14 | − | 1.06881e14i | −0.685444 | − | 0.685444i | ||||
\(233\) | −7.83472e13 | + | 7.83472e13i | −0.489653 | + | 0.489653i | −0.908197 | − | 0.418544i | \(-0.862541\pi\) |
0.418544 | + | 0.908197i | \(0.362541\pi\) | |||||||
\(234\) | 7.17377e12i | 0.0436971i | ||||||||
\(235\) | −5.15396e13 | − | 5.49672e13i | −0.306009 | − | 0.326360i | ||||
\(236\) | −8.72290e13 | −0.504881 | ||||||||
\(237\) | 1.00405e14 | + | 1.00405e14i | 0.566588 | + | 0.566588i | ||||
\(238\) | 2.21116e14 | − | 2.21116e14i | 1.21663 | − | 1.21663i | ||||
\(239\) | − | 8.41630e13i | − | 0.451579i | −0.974176 | − | 0.225790i | \(-0.927504\pi\) | ||
0.974176 | − | 0.225790i | \(-0.0724962\pi\) | |||||||
\(240\) | −1.71064e14 | + | 1.60397e14i | −0.895141 | + | 0.839322i | ||||
\(241\) | 3.63503e14 | 1.85527 | 0.927633 | − | 0.373493i | \(-0.121840\pi\) | ||||
0.927633 | + | 0.373493i | \(0.121840\pi\) | |||||||
\(242\) | 8.33949e13 | + | 8.33949e13i | 0.415190 | + | 0.415190i | ||||
\(243\) | 1.01316e13 | − | 1.01316e13i | 0.0492085 | − | 0.0492085i | ||||
\(244\) | − | 6.22016e13i | − | 0.294756i | ||||||
\(245\) | 7.52876e11 | − | 2.33940e13i | 0.00348118 | − | 0.108170i | ||||
\(246\) | 1.04043e14 | 0.469462 | ||||||||
\(247\) | 1.88002e14 | + | 1.88002e14i | 0.827904 | + | 0.827904i | ||||
\(248\) | 2.02169e13 | − | 2.02169e13i | 0.0868968 | − | 0.0868968i | ||||
\(249\) | 1.03359e14i | 0.433664i | ||||||||
\(250\) | −1.88078e14 | − | 2.28399e14i | −0.770367 | − | 0.935522i | ||||
\(251\) | −2.32641e14 | −0.930345 | −0.465172 | − | 0.885220i | \(-0.654008\pi\) | ||||
−0.465172 | + | 0.885220i | \(0.654008\pi\) | |||||||
\(252\) | −2.79000e12 | − | 2.79000e12i | −0.0108943 | − | 0.0108943i | ||||
\(253\) | −1.48612e14 | + | 1.48612e14i | −0.566671 | + | 0.566671i | ||||
\(254\) | 3.57406e14i | 1.33094i | ||||||||
\(255\) | −4.05888e14 | − | 1.30625e13i | −1.47627 | − | 0.0475099i | ||||
\(256\) | 3.22407e14 | 1.14542 | ||||||||
\(257\) | 2.47701e14 | + | 2.47701e14i | 0.859663 | + | 0.859663i | 0.991298 | − | 0.131635i | \(-0.0420227\pi\) |
−0.131635 | + | 0.991298i | \(0.542023\pi\) | |||||||
\(258\) | 2.36013e14 | − | 2.36013e14i | 0.800235 | − | 0.800235i | ||||
\(259\) | − | 1.01359e14i | − | 0.335785i | ||||||
\(260\) | −1.02571e14 | − | 1.09392e14i | −0.332035 | − | 0.354117i | ||||
\(261\) | −1.65663e13 | −0.0524062 | ||||||||
\(262\) | −3.48715e14 | − | 3.48715e14i | −1.07811 | − | 1.07811i | ||||
\(263\) | −2.08239e13 | + | 2.08239e13i | −0.0629257 | + | 0.0629257i | −0.737869 | − | 0.674944i | \(-0.764168\pi\) |
0.674944 | + | 0.737869i | \(0.264168\pi\) | |||||||
\(264\) | − | 1.53769e14i | − | 0.454199i | ||||||
\(265\) | 3.24747e14 | − | 3.04496e14i | 0.937712 | − | 0.879238i | ||||
\(266\) | −4.58255e14 | −1.29365 | ||||||||
\(267\) | −8.70947e13 | − | 8.70947e13i | −0.240394 | − | 0.240394i | ||||
\(268\) | 3.43673e13 | − | 3.43673e13i | 0.0927548 | − | 0.0927548i | ||||
\(269\) | − | 2.87569e14i | − | 0.758976i | −0.925197 | − | 0.379488i | \(-0.876100\pi\) | ||
0.925197 | − | 0.379488i | \(-0.123900\pi\) | |||||||
\(270\) | −1.53535e13 | + | 4.77075e14i | −0.0396300 | + | 1.23141i | ||||
\(271\) | −3.79499e14 | −0.958066 | −0.479033 | − | 0.877797i | \(-0.659013\pi\) | ||||
−0.479033 | + | 0.877797i | \(0.659013\pi\) | |||||||
\(272\) | 5.37713e14 | + | 5.37713e14i | 1.32781 | + | 1.32781i | ||||
\(273\) | 2.81294e14 | − | 2.81294e14i | 0.679492 | − | 0.679492i | ||||
\(274\) | 4.29317e14i | 1.01455i | ||||||||
\(275\) | 3.09890e14 | + | 1.99668e13i | 0.716492 | + | 0.0461648i | ||||
\(276\) | 2.27174e14 | 0.513931 | ||||||||
\(277\) | −4.24359e14 | − | 4.24359e14i | −0.939410 | − | 0.939410i | 0.0588562 | − | 0.998266i | \(-0.481255\pi\) |
−0.998266 | + | 0.0588562i | \(0.981255\pi\) | |||||||
\(278\) | −6.76683e14 | + | 6.76683e14i | −1.46594 | + | 1.46594i | ||||
\(279\) | − | 3.13357e12i | − | 0.00664376i | ||||||
\(280\) | −2.92873e14 | − | 9.42539e12i | −0.607759 | − | 0.0195592i | ||||
\(281\) | −1.56177e14 | −0.317234 | −0.158617 | − | 0.987340i | \(-0.550704\pi\) | ||||
−0.158617 | + | 0.987340i | \(0.550704\pi\) | |||||||
\(282\) | −1.89421e14 | − | 1.89421e14i | −0.376645 | − | 0.376645i | ||||
\(283\) | 6.95840e14 | − | 6.95840e14i | 1.35454 | − | 1.35454i | 0.474026 | − | 0.880511i | \(-0.342800\pi\) |
0.880511 | − | 0.474026i | \(-0.157200\pi\) | |||||||
\(284\) | − | 1.88835e13i | − | 0.0359893i | ||||||
\(285\) | 4.07059e14 | + | 4.34131e14i | 0.759606 | + | 0.810124i | ||||
\(286\) | 4.93214e14 | 0.901237 | ||||||||
\(287\) | 1.47142e14 | + | 1.47142e14i | 0.263297 | + | 0.263297i | ||||
\(288\) | 1.22169e13 | − | 1.22169e13i | 0.0214094 | − | 0.0214094i | ||||
\(289\) | 7.34282e14i | 1.26030i | ||||||||
\(290\) | 7.91634e14 | − | 7.42269e14i | 1.33087 | − | 1.24788i | ||||
\(291\) | −2.75929e14 | −0.454401 | ||||||||
\(292\) | −2.14974e13 | − | 2.14974e13i | −0.0346807 | − | 0.0346807i | ||||
\(293\) | 4.29488e13 | − | 4.29488e13i | 0.0678806 | − | 0.0678806i | −0.672351 | − | 0.740232i | \(-0.734716\pi\) |
0.740232 | + | 0.672351i | \(0.234716\pi\) | |||||||
\(294\) | − | 8.32115e13i | − | 0.128854i | ||||||
\(295\) | −2.28377e13 | + | 7.09631e14i | −0.0346514 | + | 1.07671i | ||||
\(296\) | 1.53997e14 | 0.228962 | ||||||||
\(297\) | −3.54244e14 | − | 3.54244e14i | −0.516135 | − | 0.516135i | ||||
\(298\) | −7.79207e14 | + | 7.79207e14i | −1.11264 | + | 1.11264i | ||||
\(299\) | − | 8.26092e14i | − | 1.15612i | ||||||
\(300\) | −2.21594e14 | − | 2.52116e14i | −0.303970 | − | 0.345838i | ||||
\(301\) | 6.67562e14 | 0.897620 | ||||||||
\(302\) | −5.45506e14 | − | 5.45506e14i | −0.719047 | − | 0.719047i | ||||
\(303\) | −8.81646e14 | + | 8.81646e14i | −1.13930 | + | 1.13930i | ||||
\(304\) | − | 1.11439e15i | − | 1.41188i | ||||||
\(305\) | −5.06026e14 | − | 1.62852e13i | −0.628599 | − | 0.0202299i | ||||
\(306\) | 5.20713e13 | 0.0634263 | ||||||||
\(307\) | −2.37125e14 | − | 2.37125e14i | −0.283235 | − | 0.283235i | 0.551163 | − | 0.834398i | \(-0.314184\pi\) |
−0.834398 | + | 0.551163i | \(0.814184\pi\) | |||||||
\(308\) | −1.91819e14 | + | 1.91819e14i | −0.224692 | + | 0.224692i | ||||
\(309\) | − | 2.02831e14i | − | 0.233015i | ||||||
\(310\) | 1.40403e14 | + | 1.49740e14i | 0.158199 | + | 0.168721i | ||||
\(311\) | −1.33386e14 | −0.147418 | −0.0737088 | − | 0.997280i | \(-0.523484\pi\) | ||||
−0.0737088 | + | 0.997280i | \(0.523484\pi\) | |||||||
\(312\) | 4.27379e14 | + | 4.27379e14i | 0.463325 | + | 0.463325i | ||||
\(313\) | −8.27117e14 | + | 8.27117e14i | −0.879632 | + | 0.879632i | −0.993496 | − | 0.113865i | \(-0.963677\pi\) |
0.113865 | + | 0.993496i | \(0.463677\pi\) | |||||||
\(314\) | − | 8.82926e14i | − | 0.921184i | ||||||
\(315\) | −2.34278e13 | + | 2.19669e13i | −0.0239811 | + | 0.0224857i | ||||
\(316\) | 3.80594e14 | 0.382243 | ||||||||
\(317\) | 9.41830e14 | + | 9.41830e14i | 0.928147 | + | 0.928147i | 0.997586 | − | 0.0694392i | \(-0.0221210\pi\) |
−0.0694392 | + | 0.997586i | \(0.522121\pi\) | |||||||
\(318\) | 1.11910e15 | − | 1.11910e15i | 1.08219 | − | 1.08219i | ||||
\(319\) | 1.13897e15i | 1.08086i | ||||||||
\(320\) | 6.73415e12 | − | 2.09249e14i | 0.00627166 | − | 0.194878i | ||||
\(321\) | 1.29238e15 | 1.18130 | ||||||||
\(322\) | 1.00680e15 | + | 1.00680e15i | 0.903252 | + | 0.903252i | ||||
\(323\) | 1.36462e15 | − | 1.36462e15i | 1.20170 | − | 1.20170i | ||||
\(324\) | 5.22637e14i | 0.451783i | ||||||||
\(325\) | −9.16789e14 | + | 8.05800e14i | −0.777982 | + | 0.683797i | ||||
\(326\) | −1.24521e15 | −1.03737 | ||||||||
\(327\) | −8.31088e14 | − | 8.31088e14i | −0.679768 | − | 0.679768i | ||||
\(328\) | −2.23558e14 | + | 2.23558e14i | −0.179534 | + | 0.179534i | ||||
\(329\) | − | 5.35775e14i | − | 0.422481i | ||||||
\(330\) | 1.10341e15 | + | 3.55105e13i | 0.854386 | + | 0.0274963i | ||||
\(331\) | −5.67388e14 | −0.431432 | −0.215716 | − | 0.976456i | \(-0.569208\pi\) | ||||
−0.215716 | + | 0.976456i | \(0.569208\pi\) | |||||||
\(332\) | 1.95895e14 | + | 1.95895e14i | 0.146284 | + | 0.146284i | ||||
\(333\) | 1.19346e13 | − | 1.19346e13i | 0.00875274 | − | 0.00875274i | ||||
\(334\) | 4.63083e14i | 0.333565i | ||||||||
\(335\) | −2.70589e14 | − | 2.88585e14i | −0.191444 | − | 0.204176i | ||||
\(336\) | −1.66739e15 | −1.15878 | ||||||||
\(337\) | −1.09538e15 | − | 1.09538e15i | −0.747800 | − | 0.747800i | 0.226265 | − | 0.974066i | \(-0.427348\pi\) |
−0.974066 | + | 0.226265i | \(0.927348\pi\) | |||||||
\(338\) | −9.30628e13 | + | 9.30628e13i | −0.0624131 | + | 0.0624131i | ||||
\(339\) | 1.08158e15i | 0.712626i | ||||||||
\(340\) | −7.94031e14 | + | 7.44517e14i | −0.514001 | + | 0.481949i | ||||
\(341\) | −2.15440e14 | −0.137025 | ||||||||
\(342\) | −5.39581e13 | − | 5.39581e13i | −0.0337209 | − | 0.0337209i | ||||
\(343\) | 1.20505e15 | − | 1.20505e15i | 0.740015 | − | 0.740015i | ||||
\(344\) | 1.01425e15i | 0.612060i | ||||||||
\(345\) | 5.94772e13 | − | 1.84812e15i | 0.0352725 | − | 1.09601i | ||||
\(346\) | −9.00141e14 | −0.524631 | ||||||||
\(347\) | 1.29045e15 | + | 1.29045e15i | 0.739203 | + | 0.739203i | 0.972424 | − | 0.233221i | \(-0.0749265\pi\) |
−0.233221 | + | 0.972424i | \(0.574927\pi\) | |||||||
\(348\) | 8.70539e14 | − | 8.70539e14i | 0.490132 | − | 0.490132i | ||||
\(349\) | − | 1.00281e15i | − | 0.554965i | −0.960731 | − | 0.277483i | \(-0.910500\pi\) | ||
0.960731 | − | 0.277483i | \(-0.0895001\pi\) | |||||||
\(350\) | 1.35269e14 | − | 2.09941e15i | 0.0735850 | − | 1.14206i | ||||
\(351\) | 1.96914e15 | 1.05301 | ||||||||
\(352\) | −8.39938e14 | − | 8.39938e14i | −0.441562 | − | 0.441562i | ||||
\(353\) | −1.87450e15 | + | 1.87450e15i | −0.968807 | + | 0.968807i | −0.999528 | − | 0.0307212i | \(-0.990220\pi\) |
0.0307212 | + | 0.999528i | \(0.490220\pi\) | |||||||
\(354\) | 2.52413e15i | 1.28260i | ||||||||
\(355\) | −1.53623e14 | − | 4.94396e12i | −0.0767511 | − | 0.00247004i | ||||
\(356\) | −3.30139e14 | −0.162180 | ||||||||
\(357\) | −2.04179e15 | − | 2.04179e15i | −0.986284 | − | 0.986284i | ||||
\(358\) | 2.03350e15 | − | 2.03350e15i | 0.965930 | − | 0.965930i | ||||
\(359\) | 2.74993e15i | 1.28456i | 0.766470 | + | 0.642280i | \(0.222011\pi\) | ||||
−0.766470 | + | 0.642280i | \(0.777989\pi\) | |||||||
\(360\) | −3.33751e13 | − | 3.55947e13i | −0.0153323 | − | 0.0163520i | ||||
\(361\) | −6.14823e14 | −0.277784 | ||||||||
\(362\) | 2.66667e15 | + | 2.66667e15i | 1.18500 | + | 1.18500i | ||||
\(363\) | 7.70072e14 | − | 7.70072e14i | 0.336583 | − | 0.336583i | ||||
\(364\) | − | 1.06627e15i | − | 0.458413i | ||||||
\(365\) | −1.80515e14 | + | 1.69258e14i | −0.0763407 | + | 0.0715803i | ||||
\(366\) | −1.79992e15 | −0.748801 | ||||||||
\(367\) | 2.65693e15 | + | 2.65693e15i | 1.08738 | + | 1.08738i | 0.995797 | + | 0.0915878i | \(0.0291942\pi\) |
0.0915878 | + | 0.995797i | \(0.470806\pi\) | |||||||
\(368\) | −2.44836e15 | + | 2.44836e15i | −0.985800 | + | 0.985800i | ||||
\(369\) | 3.46510e13i | 0.0137264i | ||||||||
\(370\) | −3.55632e13 | + | 1.10505e15i | −0.0138609 | + | 0.430696i | ||||
\(371\) | 3.16536e15 | 1.21389 | ||||||||
\(372\) | 1.64665e14 | + | 1.64665e14i | 0.0621362 | + | 0.0621362i | ||||
\(373\) | 2.12011e15 | − | 2.12011e15i | 0.787236 | − | 0.787236i | −0.193805 | − | 0.981040i | \(-0.562083\pi\) |
0.981040 | + | 0.193805i | \(0.0620828\pi\) | |||||||
\(374\) | − | 3.58002e15i | − | 1.30815i | ||||||
\(375\) | −2.10905e15 | + | 1.73672e15i | −0.758400 | + | 0.624514i | ||||
\(376\) | 8.14021e14 | 0.288077 | ||||||||
\(377\) | −3.16561e15 | − | 3.16561e15i | −1.10258 | − | 1.10258i | ||||
\(378\) | −2.39989e15 | + | 2.39989e15i | −0.822700 | + | 0.822700i | ||||
\(379\) | − | 3.54241e15i | − | 1.19526i | −0.801771 | − | 0.597632i | \(-0.796109\pi\) | ||
0.801771 | − | 0.597632i | \(-0.203891\pi\) | |||||||
\(380\) | 1.59430e15 | + | 5.13085e13i | 0.529502 | + | 0.0170407i | ||||
\(381\) | 3.30030e15 | 1.07896 | ||||||||
\(382\) | −2.96488e14 | − | 2.96488e14i | −0.0954171 | − | 0.0954171i | ||||
\(383\) | −1.02345e15 | + | 1.02345e15i | −0.324246 | + | 0.324246i | −0.850394 | − | 0.526147i | \(-0.823636\pi\) |
0.526147 | + | 0.850394i | \(0.323636\pi\) | |||||||
\(384\) | − | 3.48390e15i | − | 1.08662i | ||||||
\(385\) | 1.51028e15 | + | 1.61072e15i | 0.463759 | + | 0.494601i | ||||
\(386\) | 9.41843e13 | 0.0284744 | ||||||||
\(387\) | 7.86032e13 | + | 7.86032e13i | 0.0233978 | + | 0.0233978i | ||||
\(388\) | −5.22965e14 | + | 5.22965e14i | −0.153279 | + | 0.153279i | ||||
\(389\) | − | 6.69264e14i | − | 0.193152i | −0.995326 | − | 0.0965761i | \(-0.969211\pi\) | ||
0.995326 | − | 0.0965761i | \(-0.0307891\pi\) | |||||||
\(390\) | −3.16547e15 | + | 2.96808e15i | −0.899602 | + | 0.843505i | ||||
\(391\) | −5.99624e15 | −1.67810 | ||||||||
\(392\) | 1.78798e14 | + | 1.78798e14i | 0.0492772 | + | 0.0492772i | ||||
\(393\) | −3.22005e15 | + | 3.22005e15i | −0.873991 | + | 0.873991i | ||||
\(394\) | − | 2.07722e15i | − | 0.555272i | ||||||
\(395\) | 9.96445e13 | − | 3.09623e15i | 0.0262344 | − | 0.815176i | ||||
\(396\) | −4.51721e13 | −0.0117138 | ||||||||
\(397\) | −8.67794e14 | − | 8.67794e14i | −0.221653 | − | 0.221653i | 0.587541 | − | 0.809194i | \(-0.300096\pi\) |
−0.809194 | + | 0.587541i | \(0.800096\pi\) | |||||||
\(398\) | 1.02553e15 | − | 1.02553e15i | 0.258017 | − | 0.258017i | ||||
\(399\) | 4.23155e15i | 1.04873i | ||||||||
\(400\) | 5.10539e15 | + | 3.28949e14i | 1.24643 | + | 0.0803099i | ||||
\(401\) | −2.66825e15 | −0.641743 | −0.320871 | − | 0.947123i | \(-0.603976\pi\) | ||||
−0.320871 | + | 0.947123i | \(0.603976\pi\) | |||||||
\(402\) | −9.94481e14 | − | 9.94481e14i | −0.235635 | − | 0.235635i | ||||
\(403\) | 5.98785e14 | − | 5.98785e14i | 0.139779 | − | 0.139779i | ||||
\(404\) | 3.34195e15i | 0.768619i | ||||||||
\(405\) | 4.25179e15 | + | 1.36833e14i | 0.963478 | + | 0.0310071i | ||||
\(406\) | 7.71619e15 | 1.72285 | ||||||||
\(407\) | −8.20535e14 | − | 8.20535e14i | −0.180522 | − | 0.180522i | ||||
\(408\) | 3.10216e15 | − | 3.10216e15i | 0.672517 | − | 0.672517i | ||||
\(409\) | 1.11713e14i | 0.0238652i | 0.999929 | + | 0.0119326i | \(0.00379836\pi\) | ||||
−0.999929 | + | 0.0119326i | \(0.996202\pi\) | |||||||
\(410\) | −1.55257e15 | − | 1.65582e15i | −0.326850 | − | 0.348587i | ||||
\(411\) | 3.96433e15 | 0.822468 | ||||||||
\(412\) | −3.84423e14 | − | 3.84423e14i | −0.0786006 | − | 0.0786006i | ||||
\(413\) | −3.56975e15 | + | 3.56975e15i | −0.719346 | + | 0.719346i | ||||
\(414\) | 2.37095e14i | 0.0470892i | ||||||||
\(415\) | 1.64495e15 | − | 1.54237e15i | 0.322006 | − | 0.301926i | ||||
\(416\) | 4.66897e15 | 0.900868 | ||||||||
\(417\) | 6.24852e15 | + | 6.24852e15i | 1.18840 | + | 1.18840i | ||||
\(418\) | −3.70974e15 | + | 3.70974e15i | −0.695483 | + | 0.695483i | ||||
\(419\) | 9.60350e14i | 0.177478i | 0.996055 | + | 0.0887392i | \(0.0282838\pi\) | ||||
−0.996055 | + | 0.0887392i | \(0.971716\pi\) | |||||||
\(420\) | 7.67694e13 | − | 2.38544e15i | 0.0139860 | − | 0.434583i | ||||
\(421\) | −9.04099e15 | −1.62377 | −0.811883 | − | 0.583820i | \(-0.801557\pi\) | ||||
−0.811883 | + | 0.583820i | \(0.801557\pi\) | |||||||
\(422\) | −8.01706e15 | − | 8.01706e15i | −1.41952 | − | 1.41952i | ||||
\(423\) | 6.30858e13 | − | 6.30858e13i | 0.0110126 | − | 0.0110126i | ||||
\(424\) | 4.80925e15i | 0.827717i | ||||||||
\(425\) | 5.84895e15 | + | 6.65457e15i | 0.992532 | + | 1.12924i | ||||
\(426\) | −5.46430e14 | −0.0914276 | ||||||||
\(427\) | −2.54553e15 | − | 2.54553e15i | −0.419963 | − | 0.419963i | ||||
\(428\) | 2.44944e15 | − | 2.44944e15i | 0.398477 | − | 0.398477i | ||||
\(429\) | − | 4.55436e15i | − | 0.730606i | ||||||
\(430\) | −7.27801e15 | − | 2.34224e14i | −1.15134 | − | 0.0370528i | ||||
\(431\) | −7.59243e15 | −1.18445 | −0.592225 | − | 0.805772i | \(-0.701750\pi\) | ||||
−0.592225 | + | 0.805772i | \(0.701750\pi\) | |||||||
\(432\) | −5.83611e15 | − | 5.83611e15i | −0.897886 | − | 0.897886i | ||||
\(433\) | 6.95237e15 | − | 6.95237e15i | 1.05489 | − | 1.05489i | 0.0564825 | − | 0.998404i | \(-0.482011\pi\) |
0.998404 | − | 0.0564825i | \(-0.0179885\pi\) | |||||||
\(434\) | 1.45954e15i | 0.218413i | ||||||||
\(435\) | −6.85414e15 | − | 7.30998e15i | −1.01162 | − | 1.07890i | ||||
\(436\) | −3.15030e15 | −0.458599 | ||||||||
\(437\) | 6.21352e15 | + | 6.21352e15i | 0.892172 | + | 0.892172i | ||||
\(438\) | −6.22067e14 | + | 6.22067e14i | −0.0881033 | + | 0.0881033i | ||||
\(439\) | 2.99766e15i | 0.418788i | 0.977831 | + | 0.209394i | \(0.0671492\pi\) | ||||
−0.977831 | + | 0.209394i | \(0.932851\pi\) | |||||||
\(440\) | −2.44722e15 | + | 2.29461e15i | −0.337254 | + | 0.316223i | ||||
\(441\) | 2.77133e13 | 0.00376753 | ||||||||
\(442\) | 9.95015e15 | + | 9.95015e15i | 1.33443 | + | 1.33443i | ||||
\(443\) | 7.67450e15 | − | 7.67450e15i | 1.01538 | − | 1.01538i | 0.0154987 | − | 0.999880i | \(-0.495066\pi\) |
0.999880 | − | 0.0154987i | \(-0.00493357\pi\) | |||||||
\(444\) | 1.25430e15i | 0.163721i | ||||||||
\(445\) | −8.64347e13 | + | 2.68577e15i | −0.0111308 | + | 0.345866i | ||||
\(446\) | 3.80860e15 | 0.483901 | ||||||||
\(447\) | 7.19523e15 | + | 7.19523e15i | 0.901986 | + | 0.901986i | ||||
\(448\) | 1.05261e15 | − | 1.05261e15i | 0.130197 | − | 0.130197i | ||||
\(449\) | − | 1.03992e16i | − | 1.26918i | −0.772849 | − | 0.634589i | \(-0.781169\pi\) | ||
0.772849 | − | 0.634589i | \(-0.218831\pi\) | |||||||
\(450\) | 2.63126e14 | − | 2.31271e14i | 0.0316876 | − | 0.0278514i | ||||
\(451\) | 2.38234e15 | 0.283103 | ||||||||
\(452\) | 2.04991e15 | + | 2.04991e15i | 0.240383 | + | 0.240383i | ||||
\(453\) | −5.03722e15 | + | 5.03722e15i | −0.582911 | + | 0.582911i | ||||
\(454\) | 7.33955e15i | 0.838174i | ||||||||
\(455\) | −8.67435e15 | − | 2.79162e14i | −0.977617 | − | 0.0314622i | ||||
\(456\) | −6.42914e15 | −0.715095 | ||||||||
\(457\) | −4.53331e15 | − | 4.53331e15i | −0.497643 | − | 0.497643i | 0.413060 | − | 0.910704i | \(-0.364460\pi\) |
−0.910704 | + | 0.413060i | \(0.864460\pi\) | |||||||
\(458\) | 5.23713e15 | − | 5.23713e15i | 0.567414 | − | 0.567414i | ||||
\(459\) | − | 1.42931e16i | − | 1.52845i | ||||||
\(460\) | −3.39000e15 | − | 3.61545e15i | −0.357810 | − | 0.381606i | ||||
\(461\) | 1.21557e16 | 1.26641 | 0.633206 | − | 0.773983i | \(-0.281739\pi\) | ||||
0.633206 | + | 0.773983i | \(0.281739\pi\) | |||||||
\(462\) | 5.55064e15 | + | 5.55064e15i | 0.570809 | + | 0.570809i | ||||
\(463\) | −1.12434e16 | + | 1.12434e16i | −1.14133 | + | 1.14133i | −0.153127 | + | 0.988207i | \(0.548934\pi\) |
−0.988207 | + | 0.153127i | \(0.951066\pi\) | |||||||
\(464\) | 1.87644e16i | 1.88030i | ||||||||
\(465\) | 1.38271e15 | − | 1.29648e15i | 0.136777 | − | 0.128248i | ||||
\(466\) | 8.59370e15 | 0.839199 | ||||||||
\(467\) | 1.79243e15 | + | 1.79243e15i | 0.172799 | + | 0.172799i | 0.788208 | − | 0.615409i | \(-0.211009\pi\) |
−0.615409 | + | 0.788208i | \(0.711009\pi\) | |||||||
\(468\) | 1.25549e14 | − | 1.25549e14i | 0.0119492 | − | 0.0119492i | ||||
\(469\) | − | 2.81289e15i | − | 0.264311i | ||||||
\(470\) | −1.87985e14 | + | 5.84122e15i | −0.0174396 | + | 0.541897i | ||||
\(471\) | −8.15298e15 | −0.746777 | ||||||||
\(472\) | −5.42364e15 | − | 5.42364e15i | −0.490500 | − | 0.490500i | ||||
\(473\) | 5.40416e15 | − | 5.40416e15i | 0.482571 | − | 0.482571i | ||||
\(474\) | − | 1.10132e16i | − | 0.971055i | ||||||
\(475\) | 8.34815e14 | − | 1.29566e16i | 0.0726823 | − | 1.12805i | ||||
\(476\) | −7.73956e15 | −0.665388 | ||||||||
\(477\) | 3.72711e14 | + | 3.72711e14i | 0.0316419 | + | 0.0316419i | ||||
\(478\) | −4.61581e15 | + | 4.61581e15i | −0.386973 | + | 0.386973i | ||||
\(479\) | 1.64145e16i | 1.35898i | 0.733683 | + | 0.679492i | \(0.237800\pi\) | ||||
−0.733683 | + | 0.679492i | \(0.762200\pi\) | |||||||
\(480\) | 1.04454e16 | + | 3.36158e14i | 0.854037 | + | 0.0274850i | ||||
\(481\) | 4.56111e15 | 0.368299 | ||||||||
\(482\) | −1.99359e16 | − | 1.99359e16i | −1.58984 | − | 1.58984i | ||||
\(483\) | 9.29686e15 | − | 9.29686e15i | 0.732240 | − | 0.732240i | ||||
\(484\) | − | 2.91902e15i | − | 0.227072i | ||||||
\(485\) | 4.11754e15 | + | 4.39138e15i | 0.316364 | + | 0.337404i | ||||
\(486\) | −1.11131e15 | −0.0843366 | ||||||||
\(487\) | −2.19609e15 | − | 2.19609e15i | −0.164618 | − | 0.164618i | 0.619991 | − | 0.784609i | \(-0.287136\pi\) |
−0.784609 | + | 0.619991i | \(0.787136\pi\) | |||||||
\(488\) | 3.86751e15 | − | 3.86751e15i | 0.286360 | − | 0.286360i | ||||
\(489\) | 1.14983e16i | 0.840969i | ||||||||
\(490\) | −1.32430e15 | + | 1.24172e15i | −0.0956776 | + | 0.0897113i | ||||
\(491\) | −7.85269e15 | −0.560441 | −0.280220 | − | 0.959936i | \(-0.590408\pi\) | ||||
−0.280220 | + | 0.959936i | \(0.590408\pi\) | |||||||
\(492\) | −1.82087e15 | − | 1.82087e15i | −0.128377 | − | 0.128377i | ||||
\(493\) | −2.29778e16 | + | 2.29778e16i | −1.60039 | + | 1.60039i | ||||
\(494\) | − | 2.06214e16i | − | 1.41891i | ||||||
\(495\) | −1.18266e13 | + | 3.67487e14i | −0.000803953 | + | 0.0249811i | ||||
\(496\) | −3.54935e15 | −0.238374 | ||||||||
\(497\) | −7.72788e14 | − | 7.72788e14i | −0.0512769 | − | 0.0512769i | ||||
\(498\) | 5.66860e15 | − | 5.66860e15i | 0.371621 | − | 0.371621i | ||||
\(499\) | 2.19424e16i | 1.42129i | 0.703553 | + | 0.710643i | \(0.251596\pi\) | ||||
−0.703553 | + | 0.710643i | \(0.748404\pi\) | |||||||
\(500\) | −7.05668e14 | + | 7.28883e15i | −0.0451628 | + | 0.466485i | ||||
\(501\) | 4.27613e15 | 0.270411 | ||||||||
\(502\) | 1.27589e16 | + | 1.27589e16i | 0.797243 | + | 0.797243i | ||||
\(503\) | −6.63707e14 | + | 6.63707e14i | −0.0409797 | + | 0.0409797i | −0.727300 | − | 0.686320i | \(-0.759225\pi\) |
0.686320 | + | 0.727300i | \(0.259225\pi\) | |||||||
\(504\) | − | 3.46948e14i | − | 0.0211680i | ||||||
\(505\) | 2.71876e16 | + | 8.74965e14i | 1.63916 | + | 0.0527524i | ||||
\(506\) | 1.63009e16 | 0.971198 | ||||||||
\(507\) | 8.59346e14 | + | 8.59346e14i | 0.0505965 | + | 0.0505965i | ||||
\(508\) | 6.25503e15 | − | 6.25503e15i | 0.363954 | − | 0.363954i | ||||
\(509\) | − | 3.01064e16i | − | 1.73122i | −0.500718 | − | 0.865610i | \(-0.666931\pi\) | ||
0.500718 | − | 0.865610i | \(-0.333069\pi\) | |||||||
\(510\) | 2.15440e16 | + | 2.29768e16i | 1.22435 | + | 1.30577i | ||||
\(511\) | −1.75951e15 | −0.0988250 | ||||||||
\(512\) | −3.59308e15 | − | 3.59308e15i | −0.199456 | − | 0.199456i | ||||
\(513\) | −1.48110e16 | + | 1.48110e16i | −0.812608 | + | 0.812608i | ||||
\(514\) | − | 2.71696e16i | − | 1.47335i | ||||||
\(515\) | −3.22803e15 | + | 3.02673e15i | −0.173019 | + | 0.162230i | ||||
\(516\) | −8.26101e15 | −0.437658 | ||||||||
\(517\) | −4.33730e15 | − | 4.33730e15i | −0.227131 | − | 0.227131i | ||||
\(518\) | −5.55888e15 | + | 5.55888e15i | −0.287745 | + | 0.287745i | ||||
\(519\) | 8.31195e15i | 0.425303i | ||||||||
\(520\) | 4.24141e14 | − | 1.31792e16i | 0.0214531 | − | 0.666607i | ||||
\(521\) | 3.81010e15 | 0.190507 | 0.0952534 | − | 0.995453i | \(-0.469634\pi\) | ||||
0.0952534 | + | 0.995453i | \(0.469634\pi\) | |||||||
\(522\) | 9.08557e14 | + | 9.08557e14i | 0.0449085 | + | 0.0449085i | ||||
\(523\) | 1.30804e16 | − | 1.30804e16i | 0.639160 | − | 0.639160i | −0.311188 | − | 0.950348i | \(-0.600727\pi\) |
0.950348 | + | 0.311188i | \(0.100727\pi\) | |||||||
\(524\) | 1.22058e16i | 0.589631i | ||||||||
\(525\) | −1.93861e16 | − | 1.24908e15i | −0.925835 | − | 0.0596532i | ||||
\(526\) | 2.28412e15 | 0.107846 | ||||||||
\(527\) | −4.34632e15 | − | 4.34632e15i | −0.202889 | − | 0.202889i | ||||
\(528\) | −1.34982e16 | + | 1.34982e16i | −0.622975 | + | 0.622975i | ||||
\(529\) | − | 5.38800e15i | − | 0.245863i | ||||||
\(530\) | −3.45100e16 | − | 1.11062e15i | −1.55700 | − | 0.0501083i | ||||
\(531\) | −8.40653e14 | −0.0375016 | ||||||||
\(532\) | 8.02001e15 | + | 8.02001e15i | 0.353757 | + | 0.353757i | ||||
\(533\) | −6.62136e15 | + | 6.62136e15i | −0.288791 | + | 0.288791i | ||||
\(534\) | 9.55319e15i | 0.412003i | ||||||||
\(535\) | −1.92855e16 | − | 2.05681e16i | −0.822448 | − | 0.877145i | ||||
\(536\) | 4.27371e15 | 0.180226 | ||||||||
\(537\) | −1.87774e16 | − | 1.87774e16i | −0.783051 | − | 0.783051i | ||||
\(538\) | −1.57713e16 | + | 1.57713e16i | −0.650391 | + | 0.650391i | ||||
\(539\) | − | 1.90535e15i | − | 0.0777039i | ||||||
\(540\) | 8.61808e15 | − | 8.08067e15i | 0.347574 | − | 0.325900i | ||||
\(541\) | 2.39081e16 | 0.953588 | 0.476794 | − | 0.879015i | \(-0.341799\pi\) | ||||
0.476794 | + | 0.879015i | \(0.341799\pi\) | |||||||
\(542\) | 2.08131e16 | + | 2.08131e16i | 0.820998 | + | 0.820998i | ||||
\(543\) | 2.46242e16 | − | 2.46242e16i | 0.960644 | − | 0.960644i | ||||
\(544\) | − | 3.38900e16i | − | 1.30761i | ||||||
\(545\) | −8.24790e14 | + | 2.56285e16i | −0.0314749 | + | 0.978013i | ||||
\(546\) | −3.08544e16 | −1.16456 | ||||||||
\(547\) | 1.06673e16 | + | 1.06673e16i | 0.398229 | + | 0.398229i | 0.877608 | − | 0.479379i | \(-0.159138\pi\) |
−0.479379 | + | 0.877608i | \(0.659138\pi\) | |||||||
\(548\) | 7.51355e15 | − | 7.51355e15i | 0.277435 | − | 0.277435i | ||||
\(549\) | − | 5.99456e14i | − | 0.0218939i | ||||||
\(550\) | −1.59005e16 | − | 1.80906e16i | −0.574425 | − | 0.653546i | ||||
\(551\) | 4.76207e16 | 1.70171 | ||||||||
\(552\) | 1.41250e16 | + | 1.41250e16i | 0.499293 | + | 0.499293i | ||||
\(553\) | 1.55754e16 | − | 1.55754e16i | 0.544614 | − | 0.544614i | ||||
\(554\) | 4.65469e16i | 1.61002i | ||||||||
\(555\) | 1.02041e16 | + | 3.28393e14i | 0.349153 | + | 0.0112366i | ||||
\(556\) | 2.36855e16 | 0.801740 | ||||||||
\(557\) | −1.90227e16 | − | 1.90227e16i | −0.637001 | − | 0.637001i | 0.312813 | − | 0.949815i | \(-0.398729\pi\) |
−0.949815 | + | 0.312813i | \(0.898729\pi\) | |||||||
\(558\) | −1.71857e14 | + | 1.71857e14i | −0.00569326 | + | 0.00569326i | ||||
\(559\) | 3.00401e16i | 0.984535i | ||||||||
\(560\) | 2.48816e16 | + | 2.65363e16i | 0.806770 | + | 0.860425i | ||||
\(561\) | −3.30581e16 | −1.06048 | ||||||||
\(562\) | 8.56533e15 | + | 8.56533e15i | 0.271848 | + | 0.271848i | ||||
\(563\) | 1.18877e16 | − | 1.18877e16i | 0.373292 | − | 0.373292i | −0.495383 | − | 0.868675i | \(-0.664972\pi\) |
0.868675 | + | 0.495383i | \(0.164972\pi\) | |||||||
\(564\) | 6.63017e15i | 0.205992i | ||||||||
\(565\) | 1.72133e16 | − | 1.61399e16i | 0.529142 | − | 0.496146i | ||||
\(566\) | −7.63249e16 | −2.32149 | ||||||||
\(567\) | 2.13883e16 | + | 2.13883e16i | 0.643693 | + | 0.643693i | ||||
\(568\) | 1.17412e15 | − | 1.17412e15i | 0.0349642 | − | 0.0349642i | ||||
\(569\) | 2.74494e16i | 0.808834i | 0.914575 | + | 0.404417i | \(0.132526\pi\) | ||||
−0.914575 | + | 0.404417i | \(0.867474\pi\) | |||||||
\(570\) | 1.48471e15 | − | 4.61339e16i | 0.0432904 | − | 1.34515i | ||||
\(571\) | −3.96327e16 | −1.14350 | −0.571750 | − | 0.820428i | \(-0.693735\pi\) | ||||
−0.571750 | + | 0.820428i | \(0.693735\pi\) | |||||||
\(572\) | −8.63182e15 | − | 8.63182e15i | −0.246448 | − | 0.246448i | ||||
\(573\) | −2.73778e15 | + | 2.73778e15i | −0.0773519 | + | 0.0773519i | ||||
\(574\) | − | 1.61396e16i | − | 0.451255i | ||||||
\(575\) | −3.03002e16 | + | 2.66320e16i | −0.838375 | + | 0.736879i | ||||
\(576\) | 2.47883e14 | 0.00678754 | ||||||||
\(577\) | −2.68681e16 | − | 2.68681e16i | −0.728084 | − | 0.728084i | 0.242154 | − | 0.970238i | \(-0.422146\pi\) |
−0.970238 | + | 0.242154i | \(0.922146\pi\) | |||||||
\(578\) | 4.02707e16 | − | 4.02707e16i | 1.08000 | − | 1.08000i | ||||
\(579\) | − | 8.69702e14i | − | 0.0230834i | ||||||
\(580\) | −2.68451e16 | − | 8.63942e14i | −0.705175 | − | 0.0226943i | ||||
\(581\) | 1.60336e16 | 0.416845 | ||||||||
\(582\) | 1.51330e16 | + | 1.51330e16i | 0.389391 | + | 0.389391i | ||||
\(583\) | 2.56248e16 | − | 2.56248e16i | 0.652603 | − | 0.652603i | ||||
\(584\) | − | 2.67329e15i | − | 0.0673858i | ||||||
\(585\) | −9.88506e14 | − | 1.05425e15i | −0.0246629 | − | 0.0263031i | ||||
\(586\) | −4.71094e15 | −0.116338 | ||||||||
\(587\) | 6.86096e15 | + | 6.86096e15i | 0.167709 | + | 0.167709i | 0.785972 | − | 0.618263i | \(-0.212163\pi\) |
−0.618263 | + | 0.785972i | \(0.712163\pi\) | |||||||
\(588\) | −1.45630e15 | + | 1.45630e15i | −0.0352360 | + | 0.0352360i | ||||
\(589\) | 9.00762e15i | 0.215734i | ||||||||
\(590\) | 4.01713e16 | − | 3.76663e16i | 0.952365 | − | 0.892978i | ||||
\(591\) | −1.91812e16 | −0.450143 | ||||||||
\(592\) | −1.35182e16 | − | 1.35182e16i | −0.314042 | − | 0.314042i | ||||
\(593\) | −2.02985e16 | + | 2.02985e16i | −0.466806 | + | 0.466806i | −0.900878 | − | 0.434072i | \(-0.857076\pi\) |
0.434072 | + | 0.900878i | \(0.357076\pi\) | |||||||
\(594\) | 3.88561e16i | 0.884586i | ||||||||
\(595\) | −2.02632e15 | + | 6.29634e16i | −0.0456674 | + | 1.41901i | ||||
\(596\) | 2.72741e16 | 0.608517 | ||||||||
\(597\) | −9.46976e15 | − | 9.46976e15i | −0.209167 | − | 0.209167i | ||||
\(598\) | −4.53059e16 | + | 4.53059e16i | −0.990713 | + | 0.990713i | ||||
\(599\) | − | 6.80430e16i | − | 1.47307i | −0.676401 | − | 0.736534i | \(-0.736461\pi\) | ||
0.676401 | − | 0.736534i | \(-0.263539\pi\) | |||||||
\(600\) | 1.89777e15 | − | 2.94539e16i | 0.0406757 | − | 0.631299i | ||||
\(601\) | −4.04277e15 | −0.0857892 | −0.0428946 | − | 0.999080i | \(-0.513658\pi\) | ||||
−0.0428946 | + | 0.999080i | \(0.513658\pi\) | |||||||
\(602\) | −3.66115e16 | − | 3.66115e16i | −0.769199 | − | 0.769199i | ||||
\(603\) | 3.31208e14 | − | 3.31208e14i | 0.00688965 | − | 0.00688965i | ||||
\(604\) | 1.90940e16i | 0.393255i | ||||||||
\(605\) | −2.37470e16 | − | 7.64237e14i | −0.484257 | − | 0.0155846i | ||||
\(606\) | 9.67054e16 | 1.95261 | ||||||||
\(607\) | 5.23645e16 | + | 5.23645e16i | 1.04690 | + | 1.04690i | 0.998845 | + | 0.0480536i | \(0.0153018\pi\) |
0.0480536 | + | 0.998845i | \(0.484698\pi\) | |||||||
\(608\) | −3.51180e16 | + | 3.51180e16i | −0.695199 | + | 0.695199i | ||||
\(609\) | − | 7.12517e16i | − | 1.39666i | ||||||
\(610\) | 2.68592e16 | + | 2.86455e16i | 0.521332 | + | 0.556003i | ||||
\(611\) | 2.41098e16 | 0.463389 | ||||||||
\(612\) | −9.11308e14 | − | 9.11308e14i | −0.0173443 | − | 0.0173443i | ||||
\(613\) | −2.42437e15 | + | 2.42437e15i | −0.0456916 | + | 0.0456916i | −0.729583 | − | 0.683892i | \(-0.760286\pi\) |
0.683892 | + | 0.729583i | \(0.260286\pi\) | |||||||
\(614\) | 2.60096e16i | 0.485426i | ||||||||
\(615\) | −1.52900e16 | + | 1.43365e16i | −0.282589 | + | 0.264968i | ||||
\(616\) | −2.38535e16 | −0.436584 | ||||||||
\(617\) | −3.51410e16 | − | 3.51410e16i | −0.636947 | − | 0.636947i | 0.312854 | − | 0.949801i | \(-0.398715\pi\) |
−0.949801 | + | 0.312854i | \(0.898715\pi\) | |||||||
\(618\) | −1.11240e16 | + | 1.11240e16i | −0.199678 | + | 0.199678i | ||||
\(619\) | 4.72208e16i | 0.839440i | 0.907654 | + | 0.419720i | \(0.137872\pi\) | ||||
−0.907654 | + | 0.419720i | \(0.862128\pi\) | |||||||
\(620\) | 1.63418e14 | − | 5.07784e15i | 0.00287706 | − | 0.0893982i | ||||
\(621\) | 6.50807e16 | 1.13476 | ||||||||
\(622\) | 7.31540e15 | + | 7.31540e15i | 0.126327 | + | 0.126327i | ||||
\(623\) | −1.35106e16 | + | 1.35106e16i | −0.231071 | + | 0.231071i | ||||
\(624\) | − | 7.50323e16i | − | 1.27099i | ||||||
\(625\) | 5.91118e16 | + | 7.64910e15i | 0.991731 | + | 0.128331i | ||||
\(626\) | 9.07243e16 | 1.50757 | ||||||||
\(627\) | 3.42560e16 | + | 3.42560e16i | 0.563807 | + | 0.563807i | ||||
\(628\) | −1.54522e16 | + | 1.54522e16i | −0.251903 | + | 0.251903i | ||||
\(629\) | − | 3.31071e16i | − | 0.534586i | ||||||
\(630\) | 2.48961e15 | + | 8.01220e13i | 0.0398188 | + | 0.00128147i | ||||
\(631\) | −7.96886e16 | −1.26247 | −0.631234 | − | 0.775593i | \(-0.717451\pi\) | ||||
−0.631234 | + | 0.775593i | \(0.717451\pi\) | |||||||
\(632\) | 2.36642e16 | + | 2.36642e16i | 0.371356 | + | 0.371356i | ||||
\(633\) | −7.40299e16 | + | 7.40299e16i | −1.15076 | + | 1.15076i | ||||
\(634\) | − | 1.03307e17i | − | 1.59072i | ||||||
\(635\) | −4.92486e16 | − | 5.25239e16i | −0.751193 | − | 0.801152i | ||||
\(636\) | −3.91711e16 | −0.591865 | ||||||||
\(637\) | 5.29565e15 | + | 5.29565e15i | 0.0792653 | + | 0.0792653i | ||||
\(638\) | 6.24654e16 | − | 6.24654e16i | 0.926223 | − | 0.926223i | ||||
\(639\) | − | 1.81987e14i | − | 0.00267322i | ||||||
\(640\) | −5.54458e16 | + | 5.19883e16i | −0.806843 | + | 0.756530i | ||||
\(641\) | −5.08846e16 | −0.733565 | −0.366782 | − | 0.930307i | \(-0.619541\pi\) | ||||
−0.366782 | + | 0.930307i | \(0.619541\pi\) | |||||||
\(642\) | −7.08790e16 | − | 7.08790e16i | −1.01230 | − | 1.01230i | ||||
\(643\) | 5.83086e16 | − | 5.83086e16i | 0.825024 | − | 0.825024i | −0.161799 | − | 0.986824i | \(-0.551730\pi\) |
0.986824 | + | 0.161799i | \(0.0517298\pi\) | |||||||
\(644\) | − | 3.52405e16i | − | 0.493999i | ||||||
\(645\) | −2.16284e15 | + | 6.72055e16i | −0.0300377 | + | 0.933354i | ||||
\(646\) | −1.49682e17 | −2.05956 | ||||||||
\(647\) | −5.50175e16 | − | 5.50175e16i | −0.750025 | − | 0.750025i | 0.224459 | − | 0.974484i | \(-0.427939\pi\) |
−0.974484 | + | 0.224459i | \(0.927939\pi\) | |||||||
\(648\) | −3.24960e16 | + | 3.24960e16i | −0.438915 | + | 0.438915i | ||||
\(649\) | 5.77969e16i | 0.773457i | ||||||||
\(650\) | 9.44731e16 | + | 6.08707e15i | 1.25265 | + | 0.0807101i | ||||
\(651\) | 1.34775e16 | 0.177061 | ||||||||
\(652\) | 2.17926e16 | + | 2.17926e16i | 0.283676 | + | 0.283676i | ||||
\(653\) | −2.74560e16 | + | 2.74560e16i | −0.354126 | + | 0.354126i | −0.861642 | − | 0.507516i | \(-0.830564\pi\) |
0.507516 | + | 0.861642i | \(0.330564\pi\) | |||||||
\(654\) | 9.11599e16i | 1.16503i | ||||||||
\(655\) | 9.92977e16 | + | 3.19565e15i | 1.25745 | + | 0.0404679i | ||||
\(656\) | 3.92486e16 | 0.492495 | ||||||||
\(657\) | −2.07177e14 | − | 2.07177e14i | −0.00257602 | − | 0.00257602i | ||||
\(658\) | −2.93839e16 | + | 2.93839e16i | −0.362038 | + | 0.362038i | ||||
\(659\) | 5.54245e16i | 0.676690i | 0.941022 | + | 0.338345i | \(0.109867\pi\) | ||||
−0.941022 | + | 0.338345i | \(0.890133\pi\) | |||||||
\(660\) | −1.86895e16 | − | 1.99325e16i | −0.226118 | − | 0.241156i | ||||
\(661\) | 1.40923e17 | 1.68956 | 0.844781 | − | 0.535113i | \(-0.179731\pi\) | ||||
0.844781 | + | 0.535113i | \(0.179731\pi\) | |||||||
\(662\) | 3.11176e16 | + | 3.11176e16i | 0.369708 | + | 0.369708i | ||||
\(663\) | 9.18802e16 | − | 9.18802e16i | 1.08178 | − | 1.08178i | ||||
\(664\) | 2.43604e16i | 0.284234i | ||||||||
\(665\) | 6.73446e16 | − | 6.31451e16i | 0.778705 | − | 0.730146i | ||||
\(666\) | −1.30908e15 | −0.0150010 | ||||||||
\(667\) | −1.04624e17 | − | 1.04624e17i | −1.18817 | − | 1.18817i | ||||
\(668\) | 8.10450e15 | − | 8.10450e15i | 0.0912153 | − | 0.0912153i | ||||
\(669\) | − | 3.51688e16i | − | 0.392284i | ||||||
\(670\) | −9.86945e14 | + | 3.06671e16i | −0.0109105 | + | 0.339019i | ||||
\(671\) | −4.12140e16 | −0.451554 | ||||||||
\(672\) | 5.25447e16 | + | 5.25447e16i | 0.570576 | + | 0.570576i | ||||
\(673\) | 4.92874e16 | − | 4.92874e16i | 0.530451 | − | 0.530451i | −0.390255 | − | 0.920707i | \(-0.627613\pi\) |
0.920707 | + | 0.390255i | \(0.127613\pi\) | |||||||
\(674\) | 1.20149e17i | 1.28163i | ||||||||
\(675\) | −6.34820e16 | − | 7.22259e16i | −0.671163 | − | 0.763608i | ||||
\(676\) | 3.25742e15 | 0.0341345 | ||||||||
\(677\) | 1.12156e17 | + | 1.12156e17i | 1.16491 | + | 1.16491i | 0.983387 | + | 0.181521i | \(0.0581020\pi\) |
0.181521 | + | 0.983387i | \(0.441898\pi\) | |||||||
\(678\) | 5.93180e16 | − | 5.93180e16i | 0.610672 | − | 0.610672i | ||||
\(679\) | 4.28035e16i | 0.436778i | ||||||||
\(680\) | −9.56624e16 | − | 3.07865e15i | −0.967582 | − | 0.0311392i | ||||
\(681\) | 6.77738e16 | 0.679483 | ||||||||
\(682\) | 1.18155e16 | + | 1.18155e16i | 0.117421 | + | 0.117421i | ||||
\(683\) | −9.50390e16 | + | 9.50390e16i | −0.936219 | + | 0.936219i | −0.998084 | − | 0.0618654i | \(-0.980295\pi\) |
0.0618654 | + | 0.998084i | \(0.480295\pi\) | |||||||
\(684\) | 1.88866e15i | 0.0184424i | ||||||||
\(685\) | −5.91575e16 | − | 6.30918e16i | −0.572620 | − | 0.610702i | ||||
\(686\) | −1.32179e17 | −1.26829 | ||||||||
\(687\) | −4.83599e16 | − | 4.83599e16i | −0.459986 | − | 0.459986i | ||||
\(688\) | 8.90327e16 | − | 8.90327e16i | 0.839496 | − | 0.839496i | ||||
\(689\) | 1.42441e17i | 1.33143i | ||||||||
\(690\) | −1.04620e17 | + | 9.80959e16i | −0.969437 | + | 0.908984i | ||||
\(691\) | −1.49400e17 | −1.37240 | −0.686201 | − | 0.727412i | \(-0.740723\pi\) | ||||
−0.686201 | + | 0.727412i | \(0.740723\pi\) | |||||||
\(692\) | 1.57535e16 | + | 1.57535e16i | 0.143463 | + | 0.143463i | ||||
\(693\) | −1.84862e15 | + | 1.84862e15i | −0.0166897 | + | 0.0166897i | ||||
\(694\) | − | 1.41546e17i | − | 1.26689i | ||||||
\(695\) | 6.20117e15 | − | 1.92688e17i | 0.0550256 | − | 1.70980i | ||||
\(696\) | 1.08255e17 | 0.952342 | ||||||||
\(697\) | 4.80616e16 | + | 4.80616e16i | 0.419181 | + | 0.419181i | ||||
\(698\) | −5.49978e16 | + | 5.49978e16i | −0.475568 | + | 0.475568i | ||||
\(699\) | − | 7.93546e16i | − | 0.680314i | ||||||
\(700\) | −3.91095e16 | + | 3.43748e16i | −0.332426 | + | 0.292181i | ||||
\(701\) | −9.64381e16 | −0.812719 | −0.406360 | − | 0.913713i | \(-0.633202\pi\) | ||||
−0.406360 | + | 0.913713i | \(0.633202\pi\) | |||||||
\(702\) | −1.07995e17 | − | 1.07995e17i | −0.902360 | − | 0.902360i | ||||
\(703\) | −3.43068e16 | + | 3.43068e16i | −0.284216 | + | 0.284216i | ||||
\(704\) | − | 1.70426e16i | − | 0.139991i | ||||||
\(705\) | 5.39381e16 | + | 1.73586e15i | 0.439300 | + | 0.0141378i | ||||
\(706\) | 2.05609e17 | 1.66040 | ||||||||
\(707\) | 1.36765e17 | + | 1.36765e17i | 1.09511 | + | 1.09511i | ||||
\(708\) | 4.41753e16 | − | 4.41753e16i | 0.350736 | − | 0.350736i | ||||
\(709\) | − | 1.96501e17i | − | 1.54699i | −0.633801 | − | 0.773496i | \(-0.718506\pi\) | ||
0.633801 | − | 0.773496i | \(-0.281494\pi\) | |||||||
\(710\) | 8.15408e15 | + | 8.69637e15i | 0.0636539 | + | 0.0678872i | ||||
\(711\) | 3.66791e15 | 0.0283923 | ||||||||
\(712\) | −2.05271e16 | − | 2.05271e16i | −0.157560 | − | 0.157560i | ||||
\(713\) | 1.97901e16 | − | 1.97901e16i | 0.150629 | − | 0.150629i | ||||
\(714\) | 2.23959e17i | 1.69036i | ||||||||
\(715\) | −7.24820e16 | + | 6.79622e16i | −0.542493 | + | 0.508664i | ||||
\(716\) | −7.11772e16 | −0.528278 | ||||||||
\(717\) | 4.26226e16 | + | 4.26226e16i | 0.313708 | + | 0.313708i | ||||
\(718\) | 1.50816e17 | − | 1.50816e17i | 1.10078 | − | 1.10078i | ||||
\(719\) | − | 1.00539e17i | − | 0.727714i | −0.931455 | − | 0.363857i | \(-0.881460\pi\) | ||
0.931455 | − | 0.363857i | \(-0.118540\pi\) | |||||||
\(720\) | −1.94842e14 | + | 6.05429e15i | −0.00139858 | + | 0.0434579i | ||||
\(721\) | −3.14642e16 | −0.223978 | ||||||||
\(722\) | 3.37191e16 | + | 3.37191e16i | 0.238042 | + | 0.238042i | ||||
\(723\) | −1.84089e17 | + | 1.84089e17i | −1.28883 | + | 1.28883i | ||||
\(724\) | − | 9.33397e16i | − | 0.648090i | ||||||
\(725\) | −1.40568e16 | + | 2.18166e17i | −0.0967961 | + | 1.50231i | ||||
\(726\) | −8.44672e16 | −0.576857 | ||||||||
\(727\) | 5.83551e16 | + | 5.83551e16i | 0.395251 | + | 0.395251i | 0.876554 | − | 0.481303i | \(-0.159836\pi\) |
−0.481303 | + | 0.876554i | \(0.659836\pi\) | |||||||
\(728\) | 6.62973e16 | − | 6.62973e16i | 0.445356 | − | 0.445356i | ||||
\(729\) | 1.54950e17i | 1.03235i | ||||||||
\(730\) | 1.91829e16 | + | 6.17353e14i | 0.126758 | + | 0.00407940i | ||||
\(731\) | 2.18048e17 | 1.42905 | ||||||||
\(732\) | 3.15007e16 | + | 3.15007e16i | 0.204764 | + | 0.204764i | ||||
\(733\) | −5.61155e16 | + | 5.61155e16i | −0.361792 | + | 0.361792i | −0.864472 | − | 0.502680i | \(-0.832347\pi\) |
0.502680 | + | 0.864472i | \(0.332347\pi\) | |||||||
\(734\) | − | 2.91431e17i | − | 1.86363i | ||||||
\(735\) | 1.14661e16 | + | 1.22287e16i | 0.0727263 | + | 0.0775630i | ||||
\(736\) | 1.54311e17 | 0.970801 | ||||||||
\(737\) | −2.27713e16 | − | 2.27713e16i | −0.142097 | − | 0.142097i | ||||
\(738\) | 1.90039e15 | − | 1.90039e15i | 0.0117626 | − | 0.0117626i | ||||
\(739\) | 2.64833e17i | 1.62594i | 0.582304 | + | 0.812971i | \(0.302151\pi\) | ||||
−0.582304 | + | 0.812971i | \(0.697849\pi\) | |||||||
\(740\) | 1.99621e16 | − | 1.87173e16i | 0.121567 | − | 0.113986i | ||||
\(741\) | −1.90419e17 | −1.15027 | ||||||||
\(742\) | −1.73600e17 | − | 1.73600e17i | −1.04022 | − | 1.04022i | ||||
\(743\) | 3.73128e16 | − | 3.73128e16i | 0.221781 | − | 0.221781i | −0.587467 | − | 0.809248i | \(-0.699875\pi\) |
0.809248 | + | 0.587467i | \(0.199875\pi\) | |||||||
\(744\) | 2.04768e16i | 0.120733i | ||||||||
\(745\) | 7.14071e15 | − | 2.21882e17i | 0.0417642 | − | 1.29773i | ||||
\(746\) | −2.32549e17 | −1.34922 | ||||||||
\(747\) | 1.88790e15 | + | 1.88790e15i | 0.0108657 | + | 0.0108657i | ||||
\(748\) | −6.26546e16 | + | 6.26546e16i | −0.357720 | + | 0.357720i | ||||
\(749\) | − | 2.00481e17i | − | 1.13549i | ||||||
\(750\) | 2.10916e17 | + | 2.04198e16i | 1.18506 | + | 0.114732i | ||||
\(751\) | 2.04607e17 | 1.14046 | 0.570230 | − | 0.821485i | \(-0.306854\pi\) | ||||
0.570230 | + | 0.821485i | \(0.306854\pi\) | |||||||
\(752\) | −7.14563e16 | − | 7.14563e16i | −0.395124 | − | 0.395124i | ||||
\(753\) | 1.17816e17 | − | 1.17816e17i | 0.646301 | − | 0.646301i | ||||
\(754\) | 3.47227e17i | 1.88967i | ||||||||
\(755\) | 1.55334e17 | + | 4.99905e15i | 0.838661 | + | 0.0269902i | ||||
\(756\) | 8.40019e16 | 0.449944 | ||||||||
\(757\) | −8.24902e16 | − | 8.24902e16i | −0.438356 | − | 0.438356i | 0.453102 | − | 0.891458i | \(-0.350317\pi\) |
−0.891458 | + | 0.453102i | \(0.850317\pi\) | |||||||
\(758\) | −1.94279e17 | + | 1.94279e17i | −1.02426 | + | 1.02426i | ||||
\(759\) | − | 1.50523e17i | − | 0.787322i | ||||||
\(760\) | 9.59385e16 | + | 1.02319e17i | 0.497865 | + | 0.530975i | ||||
\(761\) | −3.10515e16 | −0.159873 | −0.0799364 | − | 0.996800i | \(-0.525472\pi\) | ||||
−0.0799364 | + | 0.996800i | \(0.525472\pi\) | |||||||
\(762\) | −1.81001e17 | − | 1.81001e17i | −0.924593 | − | 0.924593i | ||||
\(763\) | −1.28923e17 | + | 1.28923e17i | −0.653404 | + | 0.653404i | ||||
\(764\) | 1.03778e16i | 0.0521847i | ||||||||
\(765\) | −7.65232e15 | + | 7.17514e15i | −0.0381790 | + | 0.0357982i | ||||
\(766\) | 1.12260e17 | 0.555715 | ||||||||
\(767\) | −1.60638e17 | − | 1.60638e17i | −0.788999 | − | 0.788999i | ||||
\(768\) | −1.63276e17 | + | 1.63276e17i | −0.795711 | + | 0.795711i | ||||
\(769\) | − | 2.27421e16i | − | 0.109970i | −0.998487 | − | 0.0549849i | \(-0.982489\pi\) | ||
0.998487 | − | 0.0549849i | \(-0.0175111\pi\) | |||||||
\(770\) | 5.50858e15 | − | 1.71167e17i | 0.0264299 | − | 0.821250i | ||||
\(771\) | −2.50886e17 | −1.19440 | ||||||||
\(772\) | −1.64834e15 | − | 1.64834e15i | −0.00778650 | − | 0.00778650i | ||||
\(773\) | −5.77419e16 | + | 5.77419e16i | −0.270654 | + | 0.270654i | −0.829363 | − | 0.558710i | \(-0.811297\pi\) |
0.558710 | + | 0.829363i | \(0.311297\pi\) | |||||||
\(774\) | − | 8.62178e15i | − | 0.0401006i | ||||||
\(775\) | −4.12668e16 | − | 2.65889e15i | −0.190454 | − | 0.0122713i | ||||
\(776\) | −6.50328e16 | −0.297826 | ||||||||
\(777\) | 5.13309e16 | + | 5.13309e16i | 0.233267 | + | 0.233267i | ||||
\(778\) | −3.67049e16 | + | 3.67049e16i | −0.165518 | + | 0.165518i | ||||
\(779\) | − | 9.96062e16i | − | 0.445719i | ||||||
\(780\) | 1.07344e17 | + | 3.45461e15i | 0.476663 | + | 0.0153402i | ||||
\(781\) | −1.25120e16 | −0.0551341 | ||||||||
\(782\) | 3.28856e17 | + | 3.28856e17i | 1.43802 | + | 1.43802i | ||||
\(783\) | 2.49391e17 | − | 2.49391e17i | 1.08221 | − | 1.08221i | ||||
\(784\) | − | 3.13904e16i | − | 0.135176i | ||||||
\(785\) | 1.21662e17 | + | 1.29754e17i | 0.519923 | + | 0.554500i | ||||
\(786\) | 3.53199e17 | 1.49790 | ||||||||
\(787\) | −6.51691e16 | − | 6.51691e16i | −0.274279 | − | 0.274279i | 0.556541 | − | 0.830820i | \(-0.312128\pi\) |
−0.830820 | + | 0.556541i | \(0.812128\pi\) | |||||||
\(788\) | −3.63539e16 | + | 3.63539e16i | −0.151842 | + | 0.151842i | ||||
\(789\) | − | 2.10917e16i | − | 0.0874277i | ||||||
\(790\) | −1.75274e17 | + | 1.64344e17i | −0.721032 | + | 0.676069i | ||||
\(791\) | 1.67781e17 | 0.684988 | ||||||||
\(792\) | −2.80867e15 | − | 2.80867e15i | −0.0113802 | − | 0.0113802i | ||||
\(793\) | 1.14548e17 | − | 1.14548e17i | 0.460627 | − | 0.460627i | ||||
\(794\) | 9.51861e16i | 0.379883i | ||||||||
\(795\) | −1.02555e16 | + | 3.18667e17i | −0.0406213 | + | 1.26222i | ||||
\(796\) | −3.58958e16 | −0.141113 | ||||||||
\(797\) | 1.98343e17 | + | 1.98343e17i | 0.773870 | + | 0.773870i | 0.978781 | − | 0.204911i | \(-0.0656905\pi\) |
−0.204911 | + | 0.978781i | \(0.565690\pi\) | |||||||
\(798\) | 2.32074e17 | − | 2.32074e17i | 0.898687 | − | 0.898687i | ||||
\(799\) | − | 1.75002e17i | − | 0.672610i | ||||||
\(800\) | −1.50521e17 | − | 1.71253e17i | −0.574191 | − | 0.653279i | ||||
\(801\) | −3.18165e15 | −0.0120464 | ||||||||
\(802\) | 1.46337e17 | + | 1.46337e17i | 0.549930 | + | 0.549930i | ||||
\(803\) | −1.42439e16 | + | 1.42439e16i | −0.0531295 | + | 0.0531295i | ||||
\(804\) | 3.48092e16i | 0.128872i | ||||||||
\(805\) | −2.86690e17 | − | 9.22641e15i | −1.05351 | − | 0.0339045i | ||||
\(806\) | −6.56792e16 | −0.239562 | ||||||||
\(807\) | 1.45633e17 | + | 1.45633e17i | 0.527253 | + | 0.527253i | ||||
\(808\) | −2.07792e17 | + | 2.07792e17i | −0.746726 | + | 0.746726i | ||||
\(809\) | − | 1.40004e17i | − | 0.499400i | −0.968323 | − | 0.249700i | \(-0.919668\pi\) | ||
0.968323 | − | 0.249700i | \(-0.0803320\pi\) | |||||||
\(810\) | −2.25679e17 | − | 2.40688e17i | −0.799064 | − | 0.852206i | ||||
\(811\) | −2.46705e16 | −0.0867067 | −0.0433533 | − | 0.999060i | \(-0.513804\pi\) | ||||
−0.0433533 | + | 0.999060i | \(0.513804\pi\) | |||||||
\(812\) | −1.35042e17 | − | 1.35042e17i | −0.471123 | − | 0.471123i | ||||
\(813\) | 1.92189e17 | − | 1.92189e17i | 0.665559 | − | 0.665559i | ||||
\(814\) | 9.00023e16i | 0.309391i | ||||||||
\(815\) | 1.82994e17 | − | 1.71583e17i | 0.624440 | − | 0.585501i | ||||
\(816\) | −5.44627e17 | −1.84484 | ||||||||
\(817\) | −2.25949e17 | − | 2.25949e17i | −0.759764 | − | 0.759764i | ||||
\(818\) | 6.12677e15 | − | 6.12677e15i | 0.0204509 | − | 0.0204509i | ||||
\(819\) | − | 1.02759e16i | − | 0.0340501i | ||||||
\(820\) | −1.80707e15 | + | 5.61507e16i | −0.00594418 | + | 0.184702i | ||||
\(821\) | −3.46019e17 | −1.12990 | −0.564951 | − | 0.825124i | \(-0.691105\pi\) | ||||
−0.564951 | + | 0.825124i | \(0.691105\pi\) | |||||||
\(822\) | −2.17418e17 | − | 2.17418e17i | −0.704799 | − | 0.704799i | ||||
\(823\) | −1.95945e17 | + | 1.95945e17i | −0.630572 | + | 0.630572i | −0.948212 | − | 0.317639i | \(-0.897110\pi\) |
0.317639 | + | 0.948212i | \(0.397110\pi\) | |||||||
\(824\) | − | 4.78046e16i | − | 0.152724i | ||||||
\(825\) | −1.67049e17 | + | 1.46826e17i | −0.529810 | + | 0.465670i | ||||
\(826\) | 3.91557e17 | 1.23286 | ||||||||
\(827\) | 2.49398e17 | + | 2.49398e17i | 0.779578 | + | 0.779578i | 0.979759 | − | 0.200181i | \(-0.0641531\pi\) |
−0.200181 | + | 0.979759i | \(0.564153\pi\) | |||||||
\(828\) | 4.14945e15 | − | 4.14945e15i | 0.0128768 | − | 0.0128768i | ||||
\(829\) | 3.97547e17i | 1.22479i | 0.790553 | + | 0.612394i | \(0.209793\pi\) | ||||
−0.790553 | + | 0.612394i | \(0.790207\pi\) | |||||||
\(830\) | −1.74804e17 | − | 5.62564e15i | −0.534668 | − | 0.0172069i | ||||
\(831\) | 4.29816e17 | 1.30520 | ||||||||
\(832\) | 4.73673e16 | + | 4.73673e16i | 0.142804 | + | 0.142804i | ||||
\(833\) | 3.84388e16 | − | 3.84388e16i | 0.115054 | − | 0.115054i | ||||
\(834\) | − | 6.85384e17i | − | 2.03675i | ||||||
\(835\) | −6.38104e16 | − | 6.80541e16i | −0.188266 | − | 0.200787i | ||||
\(836\) | 1.29850e17 | 0.380368 | ||||||||
\(837\) | 4.71731e16 | + | 4.71731e16i | 0.137196 | + | 0.137196i | ||||
\(838\) | 5.26691e16 | − | 5.26691e16i | 0.152087 | − | 0.152087i | ||||
\(839\) | 1.84102e17i | 0.527820i | 0.964547 | + | 0.263910i | \(0.0850123\pi\) | ||||
−0.964547 | + | 0.263910i | \(0.914988\pi\) | |||||||
\(840\) | 1.53093e17 | − | 1.43546e17i | 0.435792 | − | 0.408617i | ||||
\(841\) | −4.48033e17 | −1.26629 | ||||||||
\(842\) | 4.95841e17 | + | 4.95841e17i | 1.39146 | + | 1.39146i | ||||
\(843\) | 7.90927e16 | − | 7.90927e16i | 0.220379 | − | 0.220379i | ||||
\(844\) | 2.80616e17i | 0.776350i | ||||||||
\(845\) | 8.52834e14 | − | 2.64999e16i | 0.00234274 | − | 0.0727955i | ||||
\(846\) | −6.91971e15 | −0.0188741 | ||||||||
\(847\) | −1.19458e17 | − | 1.19458e17i | −0.323529 | − | 0.323529i | ||||
\(848\) | 4.22165e17 | − | 4.22165e17i | 1.13529 | − | 1.13529i | ||||
\(849\) | 7.04787e17i | 1.88197i | ||||||||
\(850\) | 4.41834e16 | − | 6.85739e17i | 0.117151 | − | 1.81822i | ||||
\(851\) | 1.50746e17 | 0.396889 | ||||||||
\(852\) | 9.56317e15 | + | 9.56317e15i | 0.0250014 | + | 0.0250014i | ||||
\(853\) | 2.86257e17 | − | 2.86257e17i | 0.743125 | − | 0.743125i | −0.230053 | − | 0.973178i | \(-0.573890\pi\) |
0.973178 | + | 0.230053i | \(0.0738901\pi\) | |||||||
\(854\) | 2.79213e17i | 0.719760i | ||||||||
\(855\) | 1.53647e16 | + | 4.94475e14i | 0.0393304 | + | 0.00126575i | ||||
\(856\) | 3.04597e17 | 0.774254 | ||||||||
\(857\) | −5.33346e17 | − | 5.33346e17i | −1.34624 | − | 1.34624i | −0.889701 | − | 0.456543i | \(-0.849087\pi\) |
−0.456543 | − | 0.889701i | \(-0.650913\pi\) | |||||||
\(858\) | −2.49778e17 | + | 2.49778e17i | −0.626080 | + | 0.626080i | ||||
\(859\) | 3.79011e17i | 0.943395i | 0.881761 | + | 0.471697i | \(0.156358\pi\) | ||||
−0.881761 | + | 0.471697i | \(0.843642\pi\) | |||||||
\(860\) | 1.23274e17 | + | 1.31473e17i | 0.304707 | + | 0.324972i | ||||
\(861\) | −1.49034e17 | −0.365819 | ||||||||
\(862\) | 4.16396e17 | + | 4.16396e17i | 1.01499 | + | 1.01499i | ||||
\(863\) | −2.54509e17 | + | 2.54509e17i | −0.616082 | + | 0.616082i | −0.944524 | − | 0.328442i | \(-0.893476\pi\) |
0.328442 | + | 0.944524i | \(0.393476\pi\) | |||||||
\(864\) | 3.67828e17i | 0.884225i | ||||||||
\(865\) | 1.32284e17 | − | 1.24035e17i | 0.315798 | − | 0.296105i | ||||
\(866\) | −7.62587e17 | −1.80793 | ||||||||
\(867\) | −3.71862e17 | − | 3.71862e17i | −0.875521 | − | 0.875521i | ||||
\(868\) | 2.55437e16 | − | 2.55437e16i | 0.0597263 | − | 0.0597263i | ||||
\(869\) | − | 2.52177e17i | − | 0.585581i | ||||||
\(870\) | −2.49998e16 | + | 7.76813e17i | −0.0576528 | + | 1.79143i | ||||
\(871\) | 1.26579e17 | 0.289904 | ||||||||
\(872\) | −1.95877e17 | − | 1.95877e17i | −0.445537 | − | 0.445537i | ||||
\(873\) | −5.03998e15 | + | 5.03998e15i | −0.0113853 | + | 0.0113853i | ||||
\(874\) | − | 6.81544e17i | − | 1.52906i | ||||||
\(875\) | 2.69409e17 | + | 3.27166e17i | 0.600293 | + | 0.728987i | ||||
\(876\) | 2.17738e16 | 0.0481847 | ||||||||
\(877\) | 3.87525e16 | + | 3.87525e16i | 0.0851731 | + | 0.0851731i | 0.748410 | − | 0.663237i | \(-0.230818\pi\) |
−0.663237 | + | 0.748410i | \(0.730818\pi\) | |||||||
\(878\) | 1.64402e17 | − | 1.64402e17i | 0.358873 | − | 0.358873i | ||||
\(879\) | 4.35011e16i | 0.0943119i | ||||||||
\(880\) | 4.16247e17 | + | 1.33959e16i | 0.896303 | + | 0.0288453i | ||||
\(881\) | 4.97245e17 | 1.06345 | 0.531723 | − | 0.846918i | \(-0.321545\pi\) | ||||
0.531723 | + | 0.846918i | \(0.321545\pi\) | |||||||
\(882\) | −1.51990e15 | − | 1.51990e15i | −0.00322852 | − | 0.00322852i | ||||
\(883\) | 7.18425e16 | − | 7.18425e16i | 0.151571 | − | 0.151571i | −0.627248 | − | 0.778820i | \(-0.715819\pi\) |
0.778820 | + | 0.627248i | \(0.215819\pi\) | |||||||
\(884\) | − | 3.48279e17i | − | 0.729816i | ||||||
\(885\) | −3.47812e17 | − | 3.70943e17i | −0.723911 | − | 0.772055i | ||||
\(886\) | −8.41796e17 | −1.74022 | ||||||||
\(887\) | −2.66493e17 | − | 2.66493e17i | −0.547198 | − | 0.547198i | 0.378431 | − | 0.925629i | \(-0.376464\pi\) |
−0.925629 | + | 0.378431i | \(0.876464\pi\) | |||||||
\(888\) | −7.79888e16 | + | 7.79888e16i | −0.159058 | + | 0.159058i | ||||
\(889\) | − | 5.11960e17i | − | 1.03711i | ||||||
\(890\) | 1.52038e17 | − | 1.42557e17i | 0.305923 | − | 0.286846i | ||||
\(891\) | 3.46293e17 | 0.692114 | ||||||||
\(892\) | −6.66550e16 | − | 6.66550e16i | −0.132326 | − | 0.132326i | ||||
\(893\) | −1.81344e17 | + | 1.81344e17i | −0.357597 | + | 0.357597i | ||||
\(894\) | − | 7.89226e17i | − | 1.54588i | ||||||
\(895\) | −1.86351e16 | + | 5.79045e17i | −0.0362572 | + | 1.12661i | ||||
\(896\) | −5.40440e17 | −1.04448 | ||||||||
\(897\) | 4.18357e17 | + | 4.18357e17i | 0.803142 | + | 0.803142i | ||||
\(898\) | −5.70332e17 | + | 5.70332e17i | −1.08760 | + | 1.08760i | ||||
\(899\) | − | 1.51672e17i | − | 0.287308i | ||||||
\(900\) | −8.65254e15 | − | 5.57498e14i | −0.0162813 | − | 0.00104903i | ||||
\(901\) | 1.03392e18 | 1.93258 | ||||||||
\(902\) | −1.30656e17 | − | 1.30656e17i | −0.242600 | − | 0.242600i | ||||
\(903\) | −3.38073e17 | + | 3.38073e17i | −0.623567 | + | 0.623567i | ||||
\(904\) | 2.54915e17i | 0.467073i | ||||||||
\(905\) | −7.59343e17 | − | 2.44375e16i | −1.38212 | − | 0.0444801i | ||||
\(906\) | 5.52520e17 | 0.999030 | ||||||||
\(907\) | −2.37100e17 | − | 2.37100e17i | −0.425880 | − | 0.425880i | 0.461342 | − | 0.887222i | \(-0.347368\pi\) |
−0.887222 | + | 0.461342i | \(0.847368\pi\) | |||||||
\(908\) | 1.28451e17 | − | 1.28451e17i | 0.229204 | − | 0.229204i | ||||
\(909\) | 3.22074e16i | 0.0570915i | ||||||||
\(910\) | 4.60423e17 | + | 4.91044e17i | 0.810791 | + | 0.864713i | ||||
\(911\) | −3.66360e17 | −0.640911 | −0.320455 | − | 0.947264i | \(-0.603836\pi\) | ||||
−0.320455 | + | 0.947264i | \(0.603836\pi\) | |||||||
\(912\) | 5.64362e17 | + | 5.64362e17i | 0.980818 | + | 0.980818i | ||||
\(913\) | 1.29798e17 | − | 1.29798e17i | 0.224101 | − | 0.224101i | ||||
\(914\) | 4.97247e17i | 0.852893i | ||||||||
\(915\) | 2.64514e17 | − | 2.48019e17i | 0.450735 | − | 0.422628i | ||||
\(916\) | −1.83312e17 | −0.310325 | ||||||||
\(917\) | 4.99510e17 | + | 4.99510e17i | 0.840095 | + | 0.840095i | ||||
\(918\) | −7.83887e17 | + | 7.83887e17i | −1.30978 | + | 1.30978i | ||||
\(919\) | − | 8.08608e17i | − | 1.34229i | −0.741328 | − | 0.671143i | \(-0.765804\pi\) | ||
0.741328 | − | 0.671143i | \(-0.234196\pi\) | |||||||
\(920\) | 1.40180e16 | − | 4.35578e17i | 0.0231185 | − | 0.718355i | ||||
\(921\) | 2.40174e17 | 0.393521 | ||||||||
\(922\) | −6.66664e17 | − | 6.66664e17i | −1.08523 | − | 1.08523i | ||||
\(923\) | 3.47753e16 | − | 3.47753e16i | 0.0562420 | − | 0.0562420i | ||||
\(924\) | − | 1.94285e17i | − | 0.312182i | ||||||
\(925\) | −1.47043e17 | − | 1.67297e17i | −0.234744 | − | 0.267078i | ||||
\(926\) | 1.23326e18 | 1.95609 | ||||||||
\(927\) | −3.70480e15 | − | 3.70480e15i | −0.00583830 | − | 0.00583830i | ||||
\(928\) | 5.91325e17 | − | 5.91325e17i | 0.925845 | − | 0.925845i | ||||
\(929\) | 8.97555e17i | 1.39626i | 0.715971 | + | 0.698130i | \(0.245984\pi\) | ||||
−0.715971 | + | 0.698130i | \(0.754016\pi\) | |||||||
\(930\) | −1.46937e17 | − | 4.72879e15i | −0.227108 | − | 0.00730890i | ||||
\(931\) | −7.96634e16 | −0.122338 | ||||||||
\(932\) | −1.50400e17 | − | 1.50400e17i | −0.229484 | − | 0.229484i | ||||
\(933\) | 6.75507e16 | − | 6.75507e16i | 0.102410 | − | 0.102410i | ||||
\(934\) | − | 1.96607e17i | − | 0.296154i | ||||||
\(935\) | 4.93308e17 | + | 5.26115e17i | 0.738326 | + | 0.787429i | ||||
\(936\) | 1.56126e16 | 0.0232177 | ||||||||
\(937\) | 4.23872e17 | + | 4.23872e17i | 0.626321 | + | 0.626321i | 0.947140 | − | 0.320819i | \(-0.103958\pi\) |
−0.320819 | + | 0.947140i | \(0.603958\pi\) | |||||||
\(938\) | −1.54269e17 | + | 1.54269e17i | −0.226497 | + | 0.226497i | ||||
\(939\) | − | 8.37752e17i | − | 1.22214i | ||||||
\(940\) | 1.05518e17 | − | 9.89383e16i | 0.152954 | − | 0.143416i | ||||
\(941\) | 5.70273e17 | 0.821382 | 0.410691 | − | 0.911775i | \(-0.365288\pi\) | ||||
0.410691 | + | 0.911775i | \(0.365288\pi\) | |||||||
\(942\) | 4.47139e17 | + | 4.47139e17i | 0.639938 | + | 0.639938i | ||||
\(943\) | −2.18838e17 | + | 2.18838e17i | −0.311210 | + | 0.311210i | ||||
\(944\) | 9.52195e17i | 1.34553i | ||||||||
\(945\) | 2.19928e16 | − | 6.83378e17i | 0.0308809 | − | 0.959555i | ||||
\(946\) | −5.92768e17 | −0.827061 | ||||||||
\(947\) | −9.45403e17 | − | 9.45403e17i | −1.31074 | − | 1.31074i | −0.920869 | − | 0.389872i | \(-0.872519\pi\) |
−0.389872 | − | 0.920869i | \(-0.627481\pi\) | |||||||
\(948\) | −1.92744e17 | + | 1.92744e17i | −0.265541 | + | 0.265541i | ||||
\(949\) | − | 7.91777e16i | − | 0.108394i | ||||||
\(950\) | −7.56371e17 | + | 6.64803e17i | −1.02895 | + | 0.904380i | ||||
\(951\) | −9.53940e17 | −1.28955 | ||||||||
\(952\) | −4.81223e17 | − | 4.81223e17i | −0.646435 | − | 0.646435i | ||||
\(953\) | −3.20563e17 | + | 3.20563e17i | −0.427913 | + | 0.427913i | −0.887917 | − | 0.460004i | \(-0.847848\pi\) |
0.460004 | + | 0.887917i | \(0.347848\pi\) | |||||||
\(954\) | − | 4.08817e16i | − | 0.0542299i | ||||||
\(955\) | 8.44258e16 | + | 2.71703e15i | 0.111290 | + | 0.00358158i | ||||
\(956\) | 1.61564e17 | 0.211640 | ||||||||
\(957\) | −5.76809e17 | − | 5.76809e17i | −0.750862 | − | 0.750862i | ||||
\(958\) | 9.00230e17 | − | 9.00230e17i | 1.16456 | − | 1.16456i | ||||
\(959\) | − | 6.14967e17i | − | 0.790570i | ||||||
\(960\) | 1.02559e17 | + | 1.09380e17i | 0.131023 | + | 0.139737i | ||||
\(961\) | −7.58973e17 | −0.963577 | ||||||||
\(962\) | −2.50148e17 | − | 2.50148e17i | −0.315607 | − | 0.315607i | ||||
\(963\) | 2.36060e16 | − | 2.36060e16i | 0.0295981 | − | 0.0295981i | ||||
\(964\) | 6.97802e17i | 0.869501i | ||||||||
\(965\) | −1.38412e16 | + | 1.29781e16i | −0.0171400 | + | 0.0160711i | ||||
\(966\) | −1.01975e18 | −1.25496 | ||||||||
\(967\) | 1.12164e18 | + | 1.12164e18i | 1.37182 | + | 1.37182i | 0.857750 | + | 0.514067i | \(0.171862\pi\) |
0.514067 | + | 0.857750i | \(0.328138\pi\) | |||||||
\(968\) | 1.81496e17 | − | 1.81496e17i | 0.220605 | − | 0.220605i | ||||
\(969\) | 1.38217e18i | 1.66962i | ||||||||
\(970\) | 1.50183e16 | − | 4.66660e17i | 0.0180298 | − | 0.560235i | ||||
\(971\) | −3.15230e17 | −0.376107 | −0.188054 | − | 0.982159i | \(-0.560218\pi\) | ||||
−0.188054 | + | 0.982159i | \(0.560218\pi\) | |||||||
\(972\) | 1.94492e16 | + | 1.94492e16i | 0.0230623 | + | 0.0230623i | ||||
\(973\) | 9.69303e17 | − | 9.69303e17i | 1.14231 | − | 1.14231i | ||||
\(974\) | 2.40883e17i | 0.282132i | ||||||||
\(975\) | 5.62082e16 | − | 8.72369e17i | 0.0654293 | − | 1.01548i | ||||
\(976\) | −6.78995e17 | −0.785539 | ||||||||
\(977\) | 3.08755e17 | + | 3.08755e17i | 0.355015 | + | 0.355015i | 0.861971 | − | 0.506957i | \(-0.169230\pi\) |
−0.506957 | + | 0.861971i | \(0.669230\pi\) | |||||||
\(978\) | 6.30608e17 | − | 6.30608e17i | 0.720653 | − | 0.720653i | ||||
\(979\) | 2.18746e17i | 0.248453i | ||||||||
\(980\) | 4.49084e16 | + | 1.44526e15i | 0.0506957 | + | 0.00163151i | ||||
\(981\) | −3.03604e16 | −0.0340639 | ||||||||
\(982\) | 4.30671e17 | + | 4.30671e17i | 0.480260 | + | 0.480260i | ||||
\(983\) | 3.09500e17 | − | 3.09500e17i | 0.343036 | − | 0.343036i | −0.514472 | − | 0.857507i | \(-0.672012\pi\) |
0.857507 | + | 0.514472i | \(0.172012\pi\) | |||||||
\(984\) | − | 2.26432e17i | − | 0.249441i | ||||||
\(985\) | 2.86230e17 | + | 3.05266e17i | 0.313399 | + | 0.334242i | ||||
\(986\) | 2.52037e18 | 2.74286 | ||||||||
\(987\) | 2.71332e17 | + | 2.71332e17i | 0.293493 | + | 0.293493i | ||||
\(988\) | −3.60899e17 | + | 3.60899e17i | −0.388011 | + | 0.388011i | ||||
\(989\) | 9.92837e17i | 1.06096i | ||||||||
\(990\) | 2.08030e16 | − | 1.95057e16i | 0.0220960 | − | 0.0207181i | ||||
\(991\) | −1.26513e18 | −1.33565 | −0.667826 | − | 0.744318i | \(-0.732775\pi\) | ||||
−0.667826 | + | 0.744318i | \(0.732775\pi\) | |||||||
\(992\) | 1.11851e17 | + | 1.11851e17i | 0.117373 | + | 0.117373i | ||||
\(993\) | 2.87342e17 | − | 2.87342e17i | 0.299711 | − | 0.299711i | ||||
\(994\) | 8.47651e16i | 0.0878817i | ||||||||
\(995\) | −9.39799e15 | + | 2.92022e17i | −0.00968493 | + | 0.300938i | ||||
\(996\) | −1.98414e17 | −0.203244 | ||||||||
\(997\) | 1.13579e18 | + | 1.13579e18i | 1.15645 | + | 1.15645i | 0.985233 | + | 0.171220i | \(0.0547710\pi\) |
0.171220 | + | 0.985233i | \(0.445229\pi\) | |||||||
\(998\) | 1.20340e18 | − | 1.20340e18i | 1.21795 | − | 1.21795i | ||||
\(999\) | 3.59331e17i | 0.361495i |
(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 | 5.13.c.a.2.2 | ✓ | 10 | |
3.2 | odd | 2 | 45.13.g.a.37.4 | 10 | |||
4.3 | odd | 2 | 80.13.p.c.17.5 | 10 | |||
5.2 | odd | 4 | 25.13.c.b.18.4 | 10 | |||
5.3 | odd | 4 | inner | 5.13.c.a.3.2 | yes | 10 | |
5.4 | even | 2 | 25.13.c.b.7.4 | 10 | |||
15.8 | even | 4 | 45.13.g.a.28.4 | 10 | |||
20.3 | even | 4 | 80.13.p.c.33.5 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
5.13.c.a.2.2 | ✓ | 10 | 1.1 | even | 1 | trivial | |
5.13.c.a.3.2 | yes | 10 | 5.3 | odd | 4 | inner | |
25.13.c.b.7.4 | 10 | 5.4 | even | 2 | |||
25.13.c.b.18.4 | 10 | 5.2 | odd | 4 | |||
45.13.g.a.28.4 | 10 | 15.8 | even | 4 | |||
45.13.g.a.37.4 | 10 | 3.2 | odd | 2 | |||
80.13.p.c.17.5 | 10 | 4.3 | odd | 2 | |||
80.13.p.c.33.5 | 10 | 20.3 | even | 4 |