Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [961,2,Mod(374,961)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(961, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("961.374");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 961 = 31^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 961.d (of order \(5\), degree \(4\), not 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: | \(7.67362363425\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{10})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 31) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 628.1 | ||
Root | \(-0.309017 + 0.951057i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 961.628 |
Dual form | 961.2.d.g.531.1 |
$q$-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 \(\left(\mathbb{Z}/961\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | − | 1.53884i | 0.353553 | − | 1.08813i | −0.603290 | − | 0.797522i | \(-0.706144\pi\) |
0.956844 | − | 0.290604i | \(-0.0938561\pi\) | |||||||
\(3\) | 1.00000 | + | 3.07768i | 0.577350 | + | 1.77690i | 0.628033 | + | 0.778187i | \(0.283860\pi\) |
−0.0506828 | + | 0.998715i | \(0.516140\pi\) | |||||||
\(4\) | −0.500000 | − | 0.363271i | −0.250000 | − | 0.181636i | ||||
\(5\) | 1.00000 | 0.447214 | 0.223607 | − | 0.974679i | \(-0.428217\pi\) | ||||
0.223607 | + | 0.974679i | \(0.428217\pi\) | |||||||
\(6\) | 5.23607 | 2.13762 | ||||||||
\(7\) | −0.190983 | − | 0.138757i | −0.0721848 | − | 0.0524453i | 0.551108 | − | 0.834434i | \(-0.314205\pi\) |
−0.623292 | + | 0.781989i | \(0.714205\pi\) | |||||||
\(8\) | 1.80902 | − | 1.31433i | 0.639584 | − | 0.464685i | ||||
\(9\) | −6.04508 | + | 4.39201i | −2.01503 | + | 1.46400i | ||||
\(10\) | 0.500000 | − | 1.53884i | 0.158114 | − | 0.486624i | ||||
\(11\) | 1.61803 | + | 1.17557i | 0.487856 | + | 0.354448i | 0.804359 | − | 0.594144i | \(-0.202509\pi\) |
−0.316503 | + | 0.948591i | \(0.602509\pi\) | |||||||
\(12\) | 0.618034 | − | 1.90211i | 0.178411 | − | 0.549093i | ||||
\(13\) | 1.00000 | + | 3.07768i | 0.277350 | + | 0.853596i | 0.988588 | + | 0.150644i | \(0.0481349\pi\) |
−0.711238 | + | 0.702951i | \(0.751865\pi\) | |||||||
\(14\) | −0.309017 | + | 0.224514i | −0.0825883 | + | 0.0600039i | ||||
\(15\) | 1.00000 | + | 3.07768i | 0.258199 | + | 0.794654i | ||||
\(16\) | −1.50000 | − | 4.61653i | −0.375000 | − | 1.15413i | ||||
\(17\) | 0.618034 | − | 0.449028i | 0.149895 | − | 0.108905i | −0.510310 | − | 0.859991i | \(-0.670469\pi\) |
0.660205 | + | 0.751085i | \(0.270469\pi\) | |||||||
\(18\) | 3.73607 | + | 11.4984i | 0.880600 | + | 2.71021i | ||||
\(19\) | −0.690983 | + | 2.12663i | −0.158522 | + | 0.487882i | −0.998501 | − | 0.0547382i | \(-0.982568\pi\) |
0.839978 | + | 0.542620i | \(0.182568\pi\) | |||||||
\(20\) | −0.500000 | − | 0.363271i | −0.111803 | − | 0.0812299i | ||||
\(21\) | 0.236068 | − | 0.726543i | 0.0515143 | − | 0.158545i | ||||
\(22\) | 2.61803 | − | 1.90211i | 0.558167 | − | 0.405532i | ||||
\(23\) | 4.61803 | − | 3.35520i | 0.962927 | − | 0.699607i | 0.00909805 | − | 0.999959i | \(-0.497104\pi\) |
0.953829 | + | 0.300351i | \(0.0971040\pi\) | |||||||
\(24\) | 5.85410 | + | 4.25325i | 1.19496 | + | 0.868192i | ||||
\(25\) | −4.00000 | −0.800000 | ||||||||
\(26\) | 5.23607 | 1.02688 | ||||||||
\(27\) | −11.7082 | − | 8.50651i | −2.25324 | − | 1.63708i | ||||
\(28\) | 0.0450850 | + | 0.138757i | 0.00852026 | + | 0.0262227i | ||||
\(29\) | −0.854102 | + | 2.62866i | −0.158603 | + | 0.488129i | −0.998508 | − | 0.0546038i | \(-0.982610\pi\) |
0.839905 | + | 0.542733i | \(0.182610\pi\) | |||||||
\(30\) | 5.23607 | 0.955971 | ||||||||
\(31\) | 0 | 0 | ||||||||
\(32\) | −3.38197 | −0.597853 | ||||||||
\(33\) | −2.00000 | + | 6.15537i | −0.348155 | + | 1.07151i | ||||
\(34\) | −0.381966 | − | 1.17557i | −0.0655066 | − | 0.201609i | ||||
\(35\) | −0.190983 | − | 0.138757i | −0.0322820 | − | 0.0234543i | ||||
\(36\) | 4.61803 | 0.769672 | ||||||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | 2.92705 | + | 2.12663i | 0.474830 | + | 0.344984i | ||||
\(39\) | −8.47214 | + | 6.15537i | −1.35663 | + | 0.985648i | ||||
\(40\) | 1.80902 | − | 1.31433i | 0.286031 | − | 0.207813i | ||||
\(41\) | 2.16312 | − | 6.65740i | 0.337822 | − | 1.03971i | −0.627493 | − | 0.778623i | \(-0.715919\pi\) |
0.965315 | − | 0.261088i | \(-0.0840813\pi\) | |||||||
\(42\) | −1.00000 | − | 0.726543i | −0.154303 | − | 0.112108i | ||||
\(43\) | −0.381966 | + | 1.17557i | −0.0582493 | + | 0.179273i | −0.975948 | − | 0.218005i | \(-0.930045\pi\) |
0.917698 | + | 0.397278i | \(0.130045\pi\) | |||||||
\(44\) | −0.381966 | − | 1.17557i | −0.0575835 | − | 0.177224i | ||||
\(45\) | −6.04508 | + | 4.39201i | −0.901148 | + | 0.654722i | ||||
\(46\) | −2.85410 | − | 8.78402i | −0.420814 | − | 1.29513i | ||||
\(47\) | 0.763932 | + | 2.35114i | 0.111431 | + | 0.342949i | 0.991186 | − | 0.132478i | \(-0.0422935\pi\) |
−0.879755 | + | 0.475427i | \(0.842293\pi\) | |||||||
\(48\) | 12.7082 | − | 9.23305i | 1.83427 | − | 1.33268i | ||||
\(49\) | −2.14590 | − | 6.60440i | −0.306557 | − | 0.943485i | ||||
\(50\) | −2.00000 | + | 6.15537i | −0.282843 | + | 0.870500i | ||||
\(51\) | 2.00000 | + | 1.45309i | 0.280056 | + | 0.203473i | ||||
\(52\) | 0.618034 | − | 1.90211i | 0.0857059 | − | 0.263776i | ||||
\(53\) | −8.47214 | + | 6.15537i | −1.16374 | + | 0.845505i | −0.990246 | − | 0.139331i | \(-0.955505\pi\) |
−0.173491 | + | 0.984835i | \(0.555505\pi\) | |||||||
\(54\) | −18.9443 | + | 13.7638i | −2.57799 | + | 1.87302i | ||||
\(55\) | 1.61803 | + | 1.17557i | 0.218176 | + | 0.158514i | ||||
\(56\) | −0.527864 | −0.0705388 | ||||||||
\(57\) | −7.23607 | −0.958441 | ||||||||
\(58\) | 3.61803 | + | 2.62866i | 0.475071 | + | 0.345159i | ||||
\(59\) | 0.690983 | + | 2.12663i | 0.0899583 | + | 0.276863i | 0.985907 | − | 0.167294i | \(-0.0535030\pi\) |
−0.895949 | + | 0.444158i | \(0.853503\pi\) | |||||||
\(60\) | 0.618034 | − | 1.90211i | 0.0797878 | − | 0.245562i | ||||
\(61\) | −8.18034 | −1.04739 | −0.523693 | − | 0.851907i | \(-0.675446\pi\) | ||||
−0.523693 | + | 0.851907i | \(0.675446\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.76393 | 0.222235 | ||||||||
\(64\) | 1.30902 | − | 4.02874i | 0.163627 | − | 0.503593i | ||||
\(65\) | 1.00000 | + | 3.07768i | 0.124035 | + | 0.381740i | ||||
\(66\) | 8.47214 | + | 6.15537i | 1.04285 | + | 0.757673i | ||||
\(67\) | 8.00000 | 0.977356 | 0.488678 | − | 0.872464i | \(-0.337479\pi\) | ||||
0.488678 | + | 0.872464i | \(0.337479\pi\) | |||||||
\(68\) | −0.472136 | −0.0572549 | ||||||||
\(69\) | 14.9443 | + | 10.8576i | 1.79908 | + | 1.30711i | ||||
\(70\) | −0.309017 | + | 0.224514i | −0.0369346 | + | 0.0268346i | ||||
\(71\) | 7.42705 | − | 5.39607i | 0.881429 | − | 0.640395i | −0.0522003 | − | 0.998637i | \(-0.516623\pi\) |
0.933629 | + | 0.358241i | \(0.116623\pi\) | |||||||
\(72\) | −5.16312 | + | 15.8904i | −0.608479 | + | 1.87271i | ||||
\(73\) | 6.85410 | + | 4.97980i | 0.802212 | + | 0.582841i | 0.911562 | − | 0.411162i | \(-0.134877\pi\) |
−0.109350 | + | 0.994003i | \(0.534877\pi\) | |||||||
\(74\) | 1.00000 | − | 3.07768i | 0.116248 | − | 0.357773i | ||||
\(75\) | −4.00000 | − | 12.3107i | −0.461880 | − | 1.42152i | ||||
\(76\) | 1.11803 | − | 0.812299i | 0.128247 | − | 0.0931771i | ||||
\(77\) | −0.145898 | − | 0.449028i | −0.0166266 | − | 0.0511715i | ||||
\(78\) | 5.23607 | + | 16.1150i | 0.592868 | + | 1.82466i | ||||
\(79\) | −9.47214 | + | 6.88191i | −1.06570 | + | 0.774275i | −0.975134 | − | 0.221615i | \(-0.928867\pi\) |
−0.0905644 | + | 0.995891i | \(0.528867\pi\) | |||||||
\(80\) | −1.50000 | − | 4.61653i | −0.167705 | − | 0.516143i | ||||
\(81\) | 7.54508 | − | 23.2214i | 0.838343 | − | 2.58015i | ||||
\(82\) | −9.16312 | − | 6.65740i | −1.01190 | − | 0.735186i | ||||
\(83\) | 4.61803 | − | 14.2128i | 0.506895 | − | 1.56006i | −0.290666 | − | 0.956825i | \(-0.593877\pi\) |
0.797561 | − | 0.603238i | \(-0.206123\pi\) | |||||||
\(84\) | −0.381966 | + | 0.277515i | −0.0416759 | + | 0.0302793i | ||||
\(85\) | 0.618034 | − | 0.449028i | 0.0670352 | − | 0.0487039i | ||||
\(86\) | 1.61803 | + | 1.17557i | 0.174477 | + | 0.126765i | ||||
\(87\) | −8.94427 | −0.958927 | ||||||||
\(88\) | 4.47214 | 0.476731 | ||||||||
\(89\) | 9.47214 | + | 6.88191i | 1.00404 | + | 0.729481i | 0.962952 | − | 0.269674i | \(-0.0869161\pi\) |
0.0410928 | + | 0.999155i | \(0.486916\pi\) | |||||||
\(90\) | 3.73607 | + | 11.4984i | 0.393816 | + | 1.21204i | ||||
\(91\) | 0.236068 | − | 0.726543i | 0.0247466 | − | 0.0761624i | ||||
\(92\) | −3.52786 | −0.367805 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 4.00000 | 0.412568 | ||||||||
\(95\) | −0.690983 | + | 2.12663i | −0.0708934 | + | 0.218187i | ||||
\(96\) | −3.38197 | − | 10.4086i | −0.345170 | − | 1.06233i | ||||
\(97\) | 12.8992 | + | 9.37181i | 1.30971 | + | 0.951563i | 1.00000 | 0.000733244i | \(0.000233399\pi\) | |
0.309714 | + | 0.950830i | \(0.399767\pi\) | |||||||
\(98\) | −11.2361 | −1.13501 | ||||||||
\(99\) | −14.9443 | −1.50196 | ||||||||
\(100\) | 2.00000 | + | 1.45309i | 0.200000 | + | 0.145309i | ||||
\(101\) | 2.42705 | − | 1.76336i | 0.241501 | − | 0.175460i | −0.460451 | − | 0.887685i | \(-0.652312\pi\) |
0.701952 | + | 0.712225i | \(0.252312\pi\) | |||||||
\(102\) | 3.23607 | − | 2.35114i | 0.320418 | − | 0.232798i | ||||
\(103\) | 1.92705 | − | 5.93085i | 0.189878 | − | 0.584384i | −0.810120 | − | 0.586264i | \(-0.800598\pi\) |
0.999998 | + | 0.00187942i | \(0.000598237\pi\) | |||||||
\(104\) | 5.85410 | + | 4.25325i | 0.574042 | + | 0.417066i | ||||
\(105\) | 0.236068 | − | 0.726543i | 0.0230379 | − | 0.0709033i | ||||
\(106\) | 5.23607 | + | 16.1150i | 0.508572 | + | 1.56522i | ||||
\(107\) | −4.66312 | + | 3.38795i | −0.450801 | + | 0.327526i | −0.789912 | − | 0.613220i | \(-0.789874\pi\) |
0.339111 | + | 0.940746i | \(0.389874\pi\) | |||||||
\(108\) | 2.76393 | + | 8.50651i | 0.265959 | + | 0.818539i | ||||
\(109\) | −4.30902 | − | 13.2618i | −0.412729 | − | 1.27025i | −0.914266 | − | 0.405113i | \(-0.867232\pi\) |
0.501538 | − | 0.865136i | \(-0.332768\pi\) | |||||||
\(110\) | 2.61803 | − | 1.90211i | 0.249620 | − | 0.181359i | ||||
\(111\) | 2.00000 | + | 6.15537i | 0.189832 | + | 0.584242i | ||||
\(112\) | −0.354102 | + | 1.08981i | −0.0334595 | + | 0.102978i | ||||
\(113\) | −2.80902 | − | 2.04087i | −0.264250 | − | 0.191989i | 0.447769 | − | 0.894150i | \(-0.352219\pi\) |
−0.712019 | + | 0.702161i | \(0.752219\pi\) | |||||||
\(114\) | −3.61803 | + | 11.1352i | −0.338860 | + | 1.04290i | ||||
\(115\) | 4.61803 | − | 3.35520i | 0.430634 | − | 0.312874i | ||||
\(116\) | 1.38197 | − | 1.00406i | 0.128312 | − | 0.0932244i | ||||
\(117\) | −19.5623 | − | 14.2128i | −1.80854 | − | 1.31398i | ||||
\(118\) | 3.61803 | 0.333067 | ||||||||
\(119\) | −0.180340 | −0.0165317 | ||||||||
\(120\) | 5.85410 | + | 4.25325i | 0.534404 | + | 0.388267i | ||||
\(121\) | −2.16312 | − | 6.65740i | −0.196647 | − | 0.605218i | ||||
\(122\) | −4.09017 | + | 12.5882i | −0.370307 | + | 1.13969i | ||||
\(123\) | 22.6525 | 2.04250 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.00000 | −0.804984 | ||||||||
\(126\) | 0.881966 | − | 2.71441i | 0.0785718 | − | 0.241819i | ||||
\(127\) | −3.85410 | − | 11.8617i | −0.341996 | − | 1.05256i | −0.963172 | − | 0.268885i | \(-0.913345\pi\) |
0.621176 | − | 0.783671i | \(-0.286655\pi\) | |||||||
\(128\) | −11.0172 | − | 8.00448i | −0.973794 | − | 0.707503i | ||||
\(129\) | −4.00000 | −0.352180 | ||||||||
\(130\) | 5.23607 | 0.459234 | ||||||||
\(131\) | −9.70820 | − | 7.05342i | −0.848210 | − | 0.616260i | 0.0764421 | − | 0.997074i | \(-0.475644\pi\) |
−0.924652 | + | 0.380814i | \(0.875644\pi\) | |||||||
\(132\) | 3.23607 | − | 2.35114i | 0.281664 | − | 0.204641i | ||||
\(133\) | 0.427051 | − | 0.310271i | 0.0370300 | − | 0.0269039i | ||||
\(134\) | 4.00000 | − | 12.3107i | 0.345547 | − | 1.06349i | ||||
\(135\) | −11.7082 | − | 8.50651i | −1.00768 | − | 0.732124i | ||||
\(136\) | 0.527864 | − | 1.62460i | 0.0452640 | − | 0.139308i | ||||
\(137\) | −1.94427 | − | 5.98385i | −0.166110 | − | 0.511235i | 0.833006 | − | 0.553264i | \(-0.186618\pi\) |
−0.999116 | + | 0.0420288i | \(0.986618\pi\) | |||||||
\(138\) | 24.1803 | − | 17.5680i | 2.05837 | − | 1.49549i | ||||
\(139\) | −4.14590 | − | 12.7598i | −0.351650 | − | 1.08227i | −0.957926 | − | 0.287014i | \(-0.907337\pi\) |
0.606276 | − | 0.795254i | \(-0.292663\pi\) | |||||||
\(140\) | 0.0450850 | + | 0.138757i | 0.00381038 | + | 0.0117271i | ||||
\(141\) | −6.47214 | + | 4.70228i | −0.545052 | + | 0.396004i | ||||
\(142\) | −4.59017 | − | 14.1271i | −0.385199 | − | 1.18552i | ||||
\(143\) | −2.00000 | + | 6.15537i | −0.167248 | + | 0.514738i | ||||
\(144\) | 29.3435 | + | 21.3193i | 2.44529 | + | 1.77661i | ||||
\(145\) | −0.854102 | + | 2.62866i | −0.0709293 | + | 0.218298i | ||||
\(146\) | 11.0902 | − | 8.05748i | 0.917829 | − | 0.666842i | ||||
\(147\) | 18.1803 | − | 13.2088i | 1.49949 | − | 1.08944i | ||||
\(148\) | −1.00000 | − | 0.726543i | −0.0821995 | − | 0.0597214i | ||||
\(149\) | 10.0000 | 0.819232 | 0.409616 | − | 0.912258i | \(-0.365663\pi\) | ||||
0.409616 | + | 0.912258i | \(0.365663\pi\) | |||||||
\(150\) | −20.9443 | −1.71009 | ||||||||
\(151\) | −11.4721 | − | 8.33499i | −0.933589 | − | 0.678292i | 0.0132798 | − | 0.999912i | \(-0.495773\pi\) |
−0.946869 | + | 0.321620i | \(0.895773\pi\) | |||||||
\(152\) | 1.54508 | + | 4.75528i | 0.125323 | + | 0.385704i | ||||
\(153\) | −1.76393 | + | 5.42882i | −0.142605 | + | 0.438894i | ||||
\(154\) | −0.763932 | −0.0615594 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 6.47214 | 0.518186 | ||||||||
\(157\) | 6.45492 | − | 19.8662i | 0.515158 | − | 1.58549i | −0.267835 | − | 0.963465i | \(-0.586308\pi\) |
0.782994 | − | 0.622030i | \(-0.213692\pi\) | |||||||
\(158\) | 5.85410 | + | 18.0171i | 0.465727 | + | 1.43336i | ||||
\(159\) | −27.4164 | − | 19.9192i | −2.17426 | − | 1.57969i | ||||
\(160\) | −3.38197 | −0.267368 | ||||||||
\(161\) | −1.34752 | −0.106200 | ||||||||
\(162\) | −31.9615 | − | 23.2214i | −2.51113 | − | 1.82444i | ||||
\(163\) | −8.66312 | + | 6.29412i | −0.678548 | + | 0.492994i | −0.872876 | − | 0.487943i | \(-0.837747\pi\) |
0.194328 | + | 0.980937i | \(0.437747\pi\) | |||||||
\(164\) | −3.50000 | + | 2.54290i | −0.273304 | + | 0.198567i | ||||
\(165\) | −2.00000 | + | 6.15537i | −0.155700 | + | 0.479195i | ||||
\(166\) | −19.5623 | − | 14.2128i | −1.51833 | − | 1.10313i | ||||
\(167\) | 2.00000 | − | 6.15537i | 0.154765 | − | 0.476317i | −0.843372 | − | 0.537330i | \(-0.819433\pi\) |
0.998137 | + | 0.0610130i | \(0.0194331\pi\) | |||||||
\(168\) | −0.527864 | − | 1.62460i | −0.0407256 | − | 0.125340i | ||||
\(169\) | 2.04508 | − | 1.48584i | 0.157314 | − | 0.114295i | ||||
\(170\) | −0.381966 | − | 1.17557i | −0.0292955 | − | 0.0901621i | ||||
\(171\) | −5.16312 | − | 15.8904i | −0.394834 | − | 1.21517i | ||||
\(172\) | 0.618034 | − | 0.449028i | 0.0471246 | − | 0.0342381i | ||||
\(173\) | 0.909830 | + | 2.80017i | 0.0691731 | + | 0.212893i | 0.979667 | − | 0.200629i | \(-0.0642985\pi\) |
−0.910494 | + | 0.413522i | \(0.864299\pi\) | |||||||
\(174\) | −4.47214 | + | 13.7638i | −0.339032 | + | 1.04343i | ||||
\(175\) | 0.763932 | + | 0.555029i | 0.0577478 | + | 0.0419563i | ||||
\(176\) | 3.00000 | − | 9.23305i | 0.226134 | − | 0.695967i | ||||
\(177\) | −5.85410 | + | 4.25325i | −0.440021 | + | 0.319694i | ||||
\(178\) | 15.3262 | − | 11.1352i | 1.14875 | − | 0.834616i | ||||
\(179\) | 1.38197 | + | 1.00406i | 0.103293 | + | 0.0750467i | 0.638233 | − | 0.769843i | \(-0.279666\pi\) |
−0.534940 | + | 0.844890i | \(0.679666\pi\) | |||||||
\(180\) | 4.61803 | 0.344208 | ||||||||
\(181\) | 4.18034 | 0.310722 | 0.155361 | − | 0.987858i | \(-0.450346\pi\) | ||||
0.155361 | + | 0.987858i | \(0.450346\pi\) | |||||||
\(182\) | −1.00000 | − | 0.726543i | −0.0741249 | − | 0.0538549i | ||||
\(183\) | −8.18034 | − | 25.1765i | −0.604708 | − | 1.86110i | ||||
\(184\) | 3.94427 | − | 12.1392i | 0.290776 | − | 0.894915i | ||||
\(185\) | 2.00000 | 0.147043 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.52786 | 0.111728 | ||||||||
\(188\) | 0.472136 | − | 1.45309i | 0.0344341 | − | 0.105977i | ||||
\(189\) | 1.05573 | + | 3.24920i | 0.0767929 | + | 0.236344i | ||||
\(190\) | 2.92705 | + | 2.12663i | 0.212351 | + | 0.154282i | ||||
\(191\) | −19.1803 | −1.38784 | −0.693920 | − | 0.720052i | \(-0.744118\pi\) | ||||
−0.693920 | + | 0.720052i | \(0.744118\pi\) | |||||||
\(192\) | 13.7082 | 0.989304 | ||||||||
\(193\) | −2.80902 | − | 2.04087i | −0.202197 | − | 0.146905i | 0.482079 | − | 0.876128i | \(-0.339882\pi\) |
−0.684276 | + | 0.729223i | \(0.739882\pi\) | |||||||
\(194\) | 20.8713 | − | 15.1639i | 1.49847 | − | 1.08870i | ||||
\(195\) | −8.47214 | + | 6.15537i | −0.606702 | + | 0.440795i | ||||
\(196\) | −1.32624 | + | 4.08174i | −0.0947313 | + | 0.291553i | ||||
\(197\) | 9.23607 | + | 6.71040i | 0.658043 | + | 0.478096i | 0.866001 | − | 0.500042i | \(-0.166682\pi\) |
−0.207959 | + | 0.978138i | \(0.566682\pi\) | |||||||
\(198\) | −7.47214 | + | 22.9969i | −0.531022 | + | 1.63432i | ||||
\(199\) | 5.85410 | + | 18.0171i | 0.414986 | + | 1.27720i | 0.912263 | + | 0.409605i | \(0.134333\pi\) |
−0.497277 | + | 0.867592i | \(0.665667\pi\) | |||||||
\(200\) | −7.23607 | + | 5.25731i | −0.511667 | + | 0.371748i | ||||
\(201\) | 8.00000 | + | 24.6215i | 0.564276 | + | 1.73666i | ||||
\(202\) | −1.50000 | − | 4.61653i | −0.105540 | − | 0.324818i | ||||
\(203\) | 0.527864 | − | 0.383516i | 0.0370488 | − | 0.0269175i | ||||
\(204\) | −0.472136 | − | 1.45309i | −0.0330561 | − | 0.101736i | ||||
\(205\) | 2.16312 | − | 6.65740i | 0.151079 | − | 0.464973i | ||||
\(206\) | −8.16312 | − | 5.93085i | −0.568751 | − | 0.413222i | ||||
\(207\) | −13.1803 | + | 40.5649i | −0.916097 | + | 2.81946i | ||||
\(208\) | 12.7082 | − | 9.23305i | 0.881155 | − | 0.640197i | ||||
\(209\) | −3.61803 | + | 2.62866i | −0.250265 | + | 0.181828i | ||||
\(210\) | −1.00000 | − | 0.726543i | −0.0690066 | − | 0.0501362i | ||||
\(211\) | 23.1803 | 1.59580 | 0.797900 | − | 0.602790i | \(-0.205944\pi\) | ||||
0.797900 | + | 0.602790i | \(0.205944\pi\) | |||||||
\(212\) | 6.47214 | 0.444508 | ||||||||
\(213\) | 24.0344 | + | 17.4620i | 1.64681 | + | 1.19648i | ||||
\(214\) | 2.88197 | + | 8.86978i | 0.197007 | + | 0.606326i | ||||
\(215\) | −0.381966 | + | 1.17557i | −0.0260499 | + | 0.0801732i | ||||
\(216\) | −32.3607 | −2.20187 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −22.5623 | −1.52811 | ||||||||
\(219\) | −8.47214 | + | 26.0746i | −0.572494 | + | 1.76196i | ||||
\(220\) | −0.381966 | − | 1.17557i | −0.0257521 | − | 0.0792569i | ||||
\(221\) | 2.00000 | + | 1.45309i | 0.134535 | + | 0.0977451i | ||||
\(222\) | 10.4721 | 0.702844 | ||||||||
\(223\) | −4.00000 | −0.267860 | −0.133930 | − | 0.990991i | \(-0.542760\pi\) | ||||
−0.133930 | + | 0.990991i | \(0.542760\pi\) | |||||||
\(224\) | 0.645898 | + | 0.469272i | 0.0431559 | + | 0.0313546i | ||||
\(225\) | 24.1803 | − | 17.5680i | 1.61202 | − | 1.17120i | ||||
\(226\) | −4.54508 | + | 3.30220i | −0.302335 | + | 0.219659i | ||||
\(227\) | −2.00000 | + | 6.15537i | −0.132745 | + | 0.408546i | −0.995232 | − | 0.0975319i | \(-0.968905\pi\) |
0.862488 | + | 0.506078i | \(0.168905\pi\) | |||||||
\(228\) | 3.61803 | + | 2.62866i | 0.239610 | + | 0.174087i | ||||
\(229\) | 4.14590 | − | 12.7598i | 0.273969 | − | 0.843189i | −0.715522 | − | 0.698590i | \(-0.753811\pi\) |
0.989490 | − | 0.144598i | \(-0.0461890\pi\) | |||||||
\(230\) | −2.85410 | − | 8.78402i | −0.188194 | − | 0.579201i | ||||
\(231\) | 1.23607 | − | 0.898056i | 0.0813273 | − | 0.0590877i | ||||
\(232\) | 1.90983 | + | 5.87785i | 0.125386 | + | 0.385900i | ||||
\(233\) | 5.54508 | + | 17.0660i | 0.363271 | + | 1.11803i | 0.951057 | + | 0.309016i | \(0.0999996\pi\) |
−0.587786 | + | 0.809016i | \(0.700000\pi\) | |||||||
\(234\) | −31.6525 | + | 22.9969i | −2.06919 | + | 1.50335i | ||||
\(235\) | 0.763932 | + | 2.35114i | 0.0498334 | + | 0.153372i | ||||
\(236\) | 0.427051 | − | 1.31433i | 0.0277987 | − | 0.0855555i | ||||
\(237\) | −30.6525 | − | 22.2703i | −1.99109 | − | 1.44661i | ||||
\(238\) | −0.0901699 | + | 0.277515i | −0.00584485 | + | 0.0179886i | ||||
\(239\) | −9.47214 | + | 6.88191i | −0.612702 | + | 0.445154i | −0.850365 | − | 0.526194i | \(-0.823619\pi\) |
0.237663 | + | 0.971348i | \(0.423619\pi\) | |||||||
\(240\) | 12.7082 | − | 9.23305i | 0.820311 | − | 0.595991i | ||||
\(241\) | 11.6180 | + | 8.44100i | 0.748383 | + | 0.543732i | 0.895325 | − | 0.445413i | \(-0.146943\pi\) |
−0.146942 | + | 0.989145i | \(0.546943\pi\) | |||||||
\(242\) | −11.3262 | −0.728078 | ||||||||
\(243\) | 35.5967 | 2.28353 | ||||||||
\(244\) | 4.09017 | + | 2.97168i | 0.261846 | + | 0.190242i | ||||
\(245\) | −2.14590 | − | 6.60440i | −0.137096 | − | 0.421939i | ||||
\(246\) | 11.3262 | − | 34.8586i | 0.722135 | − | 2.22250i | ||||
\(247\) | −7.23607 | −0.460420 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 48.3607 | 3.06473 | ||||||||
\(250\) | −4.50000 | + | 13.8496i | −0.284605 | + | 0.875924i | ||||
\(251\) | 0.562306 | + | 1.73060i | 0.0354924 | + | 0.109234i | 0.967233 | − | 0.253890i | \(-0.0817100\pi\) |
−0.931741 | + | 0.363124i | \(0.881710\pi\) | |||||||
\(252\) | −0.881966 | − | 0.640786i | −0.0555586 | − | 0.0403657i | ||||
\(253\) | 11.4164 | 0.717743 | ||||||||
\(254\) | −20.1803 | −1.26623 | ||||||||
\(255\) | 2.00000 | + | 1.45309i | 0.125245 | + | 0.0909957i | ||||
\(256\) | −10.9721 | + | 7.97172i | −0.685758 | + | 0.498233i | ||||
\(257\) | −1.57295 | + | 1.14281i | −0.0981179 | + | 0.0712868i | −0.635762 | − | 0.771885i | \(-0.719314\pi\) |
0.537645 | + | 0.843172i | \(0.319314\pi\) | |||||||
\(258\) | −2.00000 | + | 6.15537i | −0.124515 | + | 0.383216i | ||||
\(259\) | −0.381966 | − | 0.277515i | −0.0237342 | − | 0.0172439i | ||||
\(260\) | 0.618034 | − | 1.90211i | 0.0383288 | − | 0.117964i | ||||
\(261\) | −6.38197 | − | 19.6417i | −0.395034 | − | 1.21579i | ||||
\(262\) | −15.7082 | + | 11.4127i | −0.970456 | + | 0.705078i | ||||
\(263\) | 7.18034 | + | 22.0988i | 0.442759 | + | 1.36267i | 0.884923 | + | 0.465737i | \(0.154211\pi\) |
−0.442164 | + | 0.896934i | \(0.645789\pi\) | |||||||
\(264\) | 4.47214 | + | 13.7638i | 0.275241 | + | 0.847105i | ||||
\(265\) | −8.47214 | + | 6.15537i | −0.520439 | + | 0.378121i | ||||
\(266\) | −0.263932 | − | 0.812299i | −0.0161827 | − | 0.0498053i | ||||
\(267\) | −11.7082 | + | 36.0341i | −0.716530 | + | 2.20525i | ||||
\(268\) | −4.00000 | − | 2.90617i | −0.244339 | − | 0.177523i | ||||
\(269\) | 3.41641 | − | 10.5146i | 0.208302 | − | 0.641088i | −0.791260 | − | 0.611480i | \(-0.790574\pi\) |
0.999562 | − | 0.0296074i | \(-0.00942570\pi\) | |||||||
\(270\) | −18.9443 | + | 13.7638i | −1.15291 | + | 0.837639i | ||||
\(271\) | −11.4721 | + | 8.33499i | −0.696883 | + | 0.506315i | −0.878915 | − | 0.476978i | \(-0.841732\pi\) |
0.182033 | + | 0.983292i | \(0.441732\pi\) | |||||||
\(272\) | −3.00000 | − | 2.17963i | −0.181902 | − | 0.132159i | ||||
\(273\) | 2.47214 | 0.149620 | ||||||||
\(274\) | −10.1803 | −0.615017 | ||||||||
\(275\) | −6.47214 | − | 4.70228i | −0.390284 | − | 0.283558i | ||||
\(276\) | −3.52786 | − | 10.8576i | −0.212352 | − | 0.653554i | ||||
\(277\) | 3.90983 | − | 12.0332i | 0.234919 | − | 0.723006i | −0.762213 | − | 0.647326i | \(-0.775887\pi\) |
0.997132 | − | 0.0756801i | \(-0.0241128\pi\) | |||||||
\(278\) | −21.7082 | −1.30197 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.527864 | −0.0315459 | ||||||||
\(281\) | 5.25329 | − | 16.1680i | 0.313385 | − | 0.964500i | −0.663029 | − | 0.748594i | \(-0.730729\pi\) |
0.976414 | − | 0.215906i | \(-0.0692705\pi\) | |||||||
\(282\) | 4.00000 | + | 12.3107i | 0.238197 | + | 0.733094i | ||||
\(283\) | 11.2361 | + | 8.16348i | 0.667915 | + | 0.485269i | 0.869327 | − | 0.494238i | \(-0.164553\pi\) |
−0.201412 | + | 0.979507i | \(0.564553\pi\) | |||||||
\(284\) | −5.67376 | −0.336676 | ||||||||
\(285\) | −7.23607 | −0.428628 | ||||||||
\(286\) | 8.47214 | + | 6.15537i | 0.500968 | + | 0.363974i | ||||
\(287\) | −1.33688 | + | 0.971301i | −0.0789136 | + | 0.0573341i | ||||
\(288\) | 20.4443 | − | 14.8536i | 1.20469 | − | 0.875259i | ||||
\(289\) | −5.07295 | + | 15.6129i | −0.298409 | + | 0.918408i | ||||
\(290\) | 3.61803 | + | 2.62866i | 0.212458 | + | 0.154360i | ||||
\(291\) | −15.9443 | + | 49.0714i | −0.934670 | + | 2.87662i | ||||
\(292\) | −1.61803 | − | 4.97980i | −0.0946883 | − | 0.291421i | ||||
\(293\) | 0.381966 | − | 0.277515i | 0.0223147 | − | 0.0162126i | −0.576572 | − | 0.817046i | \(-0.695610\pi\) |
0.598887 | + | 0.800834i | \(0.295610\pi\) | |||||||
\(294\) | −11.2361 | − | 34.5811i | −0.655301 | − | 2.01681i | ||||
\(295\) | 0.690983 | + | 2.12663i | 0.0402306 | + | 0.123817i | ||||
\(296\) | 3.61803 | − | 2.62866i | 0.210294 | − | 0.152788i | ||||
\(297\) | −8.94427 | − | 27.5276i | −0.518999 | − | 1.59732i | ||||
\(298\) | 5.00000 | − | 15.3884i | 0.289642 | − | 0.891427i | ||||
\(299\) | 14.9443 | + | 10.8576i | 0.864250 | + | 0.627914i | ||||
\(300\) | −2.47214 | + | 7.60845i | −0.142729 | + | 0.439274i | ||||
\(301\) | 0.236068 | − | 0.171513i | 0.0136067 | − | 0.00988587i | ||||
\(302\) | −18.5623 | + | 13.4863i | −1.06814 | + | 0.776050i | ||||
\(303\) | 7.85410 | + | 5.70634i | 0.451206 | + | 0.327821i | ||||
\(304\) | 10.8541 | 0.622525 | ||||||||
\(305\) | −8.18034 | −0.468405 | ||||||||
\(306\) | 7.47214 | + | 5.42882i | 0.427154 | + | 0.310345i | ||||
\(307\) | −8.87132 | − | 27.3031i | −0.506313 | − | 1.55827i | −0.798552 | − | 0.601926i | \(-0.794400\pi\) |
0.292239 | − | 0.956345i | \(-0.405600\pi\) | |||||||
\(308\) | −0.0901699 | + | 0.277515i | −0.00513791 | + | 0.0158129i | ||||
\(309\) | 20.1803 | 1.14802 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −29.1803 | −1.65467 | −0.827333 | − | 0.561712i | \(-0.810143\pi\) | ||||
−0.827333 | + | 0.561712i | \(0.810143\pi\) | |||||||
\(312\) | −7.23607 | + | 22.2703i | −0.409662 | + | 1.26081i | ||||
\(313\) | −5.18034 | − | 15.9434i | −0.292810 | − | 0.901177i | −0.983948 | − | 0.178454i | \(-0.942890\pi\) |
0.691138 | − | 0.722723i | \(-0.257110\pi\) | |||||||
\(314\) | −27.3435 | − | 19.8662i | −1.54308 | − | 1.12111i | ||||
\(315\) | 1.76393 | 0.0993863 | ||||||||
\(316\) | 7.23607 | 0.407061 | ||||||||
\(317\) | −3.28115 | − | 2.38390i | −0.184288 | − | 0.133893i | 0.491816 | − | 0.870699i | \(-0.336333\pi\) |
−0.676104 | + | 0.736806i | \(0.736333\pi\) | |||||||
\(318\) | −44.3607 | + | 32.2299i | −2.48762 | + | 1.80736i | ||||
\(319\) | −4.47214 | + | 3.24920i | −0.250392 | + | 0.181920i | ||||
\(320\) | 1.30902 | − | 4.02874i | 0.0731763 | − | 0.225213i | ||||
\(321\) | −15.0902 | − | 10.9637i | −0.842251 | − | 0.611931i | ||||
\(322\) | −0.673762 | + | 2.07363i | −0.0375473 | + | 0.115559i | ||||
\(323\) | 0.527864 | + | 1.62460i | 0.0293711 | + | 0.0903951i | ||||
\(324\) | −12.2082 | + | 8.86978i | −0.678234 | + | 0.492766i | ||||
\(325\) | −4.00000 | − | 12.3107i | −0.221880 | − | 0.682877i | ||||
\(326\) | 5.35410 | + | 16.4782i | 0.296536 | + | 0.912645i | ||||
\(327\) | 36.5066 | − | 26.5236i | 2.01882 | − | 1.46676i | ||||
\(328\) | −4.83688 | − | 14.8864i | −0.267072 | − | 0.821963i | ||||
\(329\) | 0.180340 | − | 0.555029i | 0.00994246 | − | 0.0305997i | ||||
\(330\) | 8.47214 | + | 6.15537i | 0.466376 | + | 0.338842i | ||||
\(331\) | −0.618034 | + | 1.90211i | −0.0339702 | + | 0.104550i | −0.966604 | − | 0.256275i | \(-0.917505\pi\) |
0.932634 | + | 0.360825i | \(0.117505\pi\) | |||||||
\(332\) | −7.47214 | + | 5.42882i | −0.410087 | + | 0.297945i | ||||
\(333\) | −12.0902 | + | 8.78402i | −0.662537 | + | 0.481361i | ||||
\(334\) | −8.47214 | − | 6.15537i | −0.463575 | − | 0.336807i | ||||
\(335\) | 8.00000 | 0.437087 | ||||||||
\(336\) | −3.70820 | −0.202299 | ||||||||
\(337\) | −11.9443 | − | 8.67802i | −0.650646 | − | 0.472722i | 0.212845 | − | 0.977086i | \(-0.431727\pi\) |
−0.863491 | + | 0.504364i | \(0.831727\pi\) | |||||||
\(338\) | −1.26393 | − | 3.88998i | −0.0687488 | − | 0.211587i | ||||
\(339\) | 3.47214 | − | 10.6861i | 0.188581 | − | 0.580391i | ||||
\(340\) | −0.472136 | −0.0256052 | ||||||||
\(341\) | 0 | 0 | ||||||||
\(342\) | −27.0344 | −1.46186 | ||||||||
\(343\) | −1.01722 | + | 3.13068i | −0.0549248 | + | 0.169041i | ||||
\(344\) | 0.854102 | + | 2.62866i | 0.0460501 | + | 0.141728i | ||||
\(345\) | 14.9443 | + | 10.8576i | 0.804573 | + | 0.584556i | ||||
\(346\) | 4.76393 | 0.256111 | ||||||||
\(347\) | −24.1803 | −1.29807 | −0.649034 | − | 0.760759i | \(-0.724827\pi\) | ||||
−0.649034 | + | 0.760759i | \(0.724827\pi\) | |||||||
\(348\) | 4.47214 | + | 3.24920i | 0.239732 | + | 0.174175i | ||||
\(349\) | 6.38197 | − | 4.63677i | 0.341619 | − | 0.248201i | −0.403726 | − | 0.914880i | \(-0.632285\pi\) |
0.745345 | + | 0.666679i | \(0.232285\pi\) | |||||||
\(350\) | 1.23607 | − | 0.898056i | 0.0660706 | − | 0.0480031i | ||||
\(351\) | 14.4721 | − | 44.5407i | 0.772465 | − | 2.37740i | ||||
\(352\) | −5.47214 | − | 3.97574i | −0.291666 | − | 0.211908i | ||||
\(353\) | −2.29180 | + | 7.05342i | −0.121980 | + | 0.375416i | −0.993339 | − | 0.115231i | \(-0.963239\pi\) |
0.871359 | + | 0.490646i | \(0.163239\pi\) | |||||||
\(354\) | 3.61803 | + | 11.1352i | 0.192296 | + | 0.591827i | ||||
\(355\) | 7.42705 | − | 5.39607i | 0.394187 | − | 0.286394i | ||||
\(356\) | −2.23607 | − | 6.88191i | −0.118511 | − | 0.364740i | ||||
\(357\) | −0.180340 | − | 0.555029i | −0.00954460 | − | 0.0293753i | ||||
\(358\) | 2.23607 | − | 1.62460i | 0.118180 | − | 0.0858627i | ||||
\(359\) | 6.87132 | + | 21.1478i | 0.362655 | + | 1.11614i | 0.951437 | + | 0.307844i | \(0.0996076\pi\) |
−0.588782 | + | 0.808292i | \(0.700392\pi\) | |||||||
\(360\) | −5.16312 | + | 15.8904i | −0.272120 | + | 0.837500i | ||||
\(361\) | 11.3262 | + | 8.22899i | 0.596118 | + | 0.433105i | ||||
\(362\) | 2.09017 | − | 6.43288i | 0.109857 | − | 0.338105i | ||||
\(363\) | 18.3262 | − | 13.3148i | 0.961878 | − | 0.698845i | ||||
\(364\) | −0.381966 | + | 0.277515i | −0.0200205 | + | 0.0145457i | ||||
\(365\) | 6.85410 | + | 4.97980i | 0.358760 | + | 0.260654i | ||||
\(366\) | −42.8328 | −2.23891 | ||||||||
\(367\) | −18.0000 | −0.939592 | −0.469796 | − | 0.882775i | \(-0.655673\pi\) | ||||
−0.469796 | + | 0.882775i | \(0.655673\pi\) | |||||||
\(368\) | −22.4164 | − | 16.2865i | −1.16854 | − | 0.848991i | ||||
\(369\) | 16.1631 | + | 49.7450i | 0.841418 | + | 2.58962i | ||||
\(370\) | 1.00000 | − | 3.07768i | 0.0519875 | − | 0.160001i | ||||
\(371\) | 2.47214 | 0.128347 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 19.0000 | 0.983783 | 0.491891 | − | 0.870657i | \(-0.336306\pi\) | ||||
0.491891 | + | 0.870657i | \(0.336306\pi\) | |||||||
\(374\) | 0.763932 | − | 2.35114i | 0.0395020 | − | 0.121575i | ||||
\(375\) | −9.00000 | − | 27.6992i | −0.464758 | − | 1.43038i | ||||
\(376\) | 4.47214 | + | 3.24920i | 0.230633 | + | 0.167565i | ||||
\(377\) | −8.94427 | −0.460653 | ||||||||
\(378\) | 5.52786 | 0.284323 | ||||||||
\(379\) | 1.70820 | + | 1.24108i | 0.0877445 | + | 0.0637501i | 0.630793 | − | 0.775951i | \(-0.282730\pi\) |
−0.543048 | + | 0.839702i | \(0.682730\pi\) | |||||||
\(380\) | 1.11803 | − | 0.812299i | 0.0573539 | − | 0.0416701i | ||||
\(381\) | 32.6525 | − | 23.7234i | 1.67284 | − | 1.21539i | ||||
\(382\) | −9.59017 | + | 29.5155i | −0.490676 | + | 1.51014i | ||||
\(383\) | −19.3262 | − | 14.0413i | −0.987525 | − | 0.717479i | −0.0281470 | − | 0.999604i | \(-0.508961\pi\) |
−0.959378 | + | 0.282125i | \(0.908961\pi\) | |||||||
\(384\) | 13.6180 | − | 41.9120i | 0.694942 | − | 2.13881i | ||||
\(385\) | −0.145898 | − | 0.449028i | −0.00743565 | − | 0.0228846i | ||||
\(386\) | −4.54508 | + | 3.30220i | −0.231339 | + | 0.168077i | ||||
\(387\) | −2.85410 | − | 8.78402i | −0.145082 | − | 0.446517i | ||||
\(388\) | −3.04508 | − | 9.37181i | −0.154591 | − | 0.475781i | ||||
\(389\) | −14.4721 | + | 10.5146i | −0.733766 | + | 0.533113i | −0.890753 | − | 0.454488i | \(-0.849822\pi\) |
0.156986 | + | 0.987601i | \(0.449822\pi\) | |||||||
\(390\) | 5.23607 | + | 16.1150i | 0.265139 | + | 0.816013i | ||||
\(391\) | 1.34752 | − | 4.14725i | 0.0681472 | − | 0.209736i | ||||
\(392\) | −12.5623 | − | 9.12705i | −0.634492 | − | 0.460986i | ||||
\(393\) | 12.0000 | − | 36.9322i | 0.605320 | − | 1.86298i | ||||
\(394\) | 14.9443 | − | 10.8576i | 0.752882 | − | 0.547000i | ||||
\(395\) | −9.47214 | + | 6.88191i | −0.476595 | + | 0.346266i | ||||
\(396\) | 7.47214 | + | 5.42882i | 0.375489 | + | 0.272809i | ||||
\(397\) | −7.00000 | −0.351320 | −0.175660 | − | 0.984451i | \(-0.556206\pi\) | ||||
−0.175660 | + | 0.984451i | \(0.556206\pi\) | |||||||
\(398\) | 30.6525 | 1.53647 | ||||||||
\(399\) | 1.38197 | + | 1.00406i | 0.0691848 | + | 0.0502657i | ||||
\(400\) | 6.00000 | + | 18.4661i | 0.300000 | + | 0.923305i | ||||
\(401\) | −11.7984 | + | 36.3117i | −0.589183 | + | 1.81332i | −0.00740130 | + | 0.999973i | \(0.502356\pi\) |
−0.581781 | + | 0.813345i | \(0.697644\pi\) | |||||||
\(402\) | 41.8885 | 2.08921 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | −1.85410 | −0.0922450 | ||||||||
\(405\) | 7.54508 | − | 23.2214i | 0.374918 | − | 1.15388i | ||||
\(406\) | −0.326238 | − | 1.00406i | −0.0161909 | − | 0.0498305i | ||||
\(407\) | 3.23607 | + | 2.35114i | 0.160406 | + | 0.116542i | ||||
\(408\) | 5.52786 | 0.273670 | ||||||||
\(409\) | 3.81966 | 0.188870 | 0.0944350 | − | 0.995531i | \(-0.469896\pi\) | ||||
0.0944350 | + | 0.995531i | \(0.469896\pi\) | |||||||
\(410\) | −9.16312 | − | 6.65740i | −0.452534 | − | 0.328785i | ||||
\(411\) | 16.4721 | − | 11.9677i | 0.812511 | − | 0.590323i | ||||
\(412\) | −3.11803 | + | 2.26538i | −0.153615 | + | 0.111607i | ||||
\(413\) | 0.163119 | − | 0.502029i | 0.00802656 | − | 0.0247032i | ||||
\(414\) | 55.8328 | + | 40.5649i | 2.74403 | + | 1.99366i | ||||
\(415\) | 4.61803 | − | 14.2128i | 0.226690 | − | 0.697681i | ||||
\(416\) | −3.38197 | − | 10.4086i | −0.165815 | − | 0.510325i | ||||
\(417\) | 35.1246 | − | 25.5195i | 1.72006 | − | 1.24970i | ||||
\(418\) | 2.23607 | + | 6.88191i | 0.109370 | + | 0.336605i | ||||
\(419\) | −3.12868 | − | 9.62908i | −0.152846 | − | 0.470411i | 0.845090 | − | 0.534623i | \(-0.179547\pi\) |
−0.997936 | + | 0.0642122i | \(0.979547\pi\) | |||||||
\(420\) | −0.381966 | + | 0.277515i | −0.0186380 | + | 0.0135413i | ||||
\(421\) | 9.07295 | + | 27.9237i | 0.442188 | + | 1.36092i | 0.885538 | + | 0.464567i | \(0.153790\pi\) |
−0.443349 | + | 0.896349i | \(0.646210\pi\) | |||||||
\(422\) | 11.5902 | − | 35.6709i | 0.564201 | − | 1.73643i | ||||
\(423\) | −14.9443 | − | 10.8576i | −0.726615 | − | 0.527917i | ||||
\(424\) | −7.23607 | + | 22.2703i | −0.351415 | + | 1.08154i | ||||
\(425\) | −2.47214 | + | 1.79611i | −0.119916 | + | 0.0871242i | ||||
\(426\) | 38.8885 | − | 28.2542i | 1.88416 | − | 1.36892i | ||||
\(427\) | 1.56231 | + | 1.13508i | 0.0756053 | + | 0.0549305i | ||||
\(428\) | 3.56231 | 0.172191 | ||||||||
\(429\) | −20.9443 | −1.01120 | ||||||||
\(430\) | 1.61803 | + | 1.17557i | 0.0780285 | + | 0.0566910i | ||||
\(431\) | 3.70820 | + | 11.4127i | 0.178618 | + | 0.549729i | 0.999780 | − | 0.0209654i | \(-0.00667397\pi\) |
−0.821162 | + | 0.570695i | \(0.806674\pi\) | |||||||
\(432\) | −21.7082 | + | 66.8110i | −1.04444 | + | 3.21444i | ||||
\(433\) | −10.1803 | −0.489236 | −0.244618 | − | 0.969620i | \(-0.578663\pi\) | ||||
−0.244618 | + | 0.969620i | \(0.578663\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −8.94427 | −0.428845 | ||||||||
\(436\) | −2.66312 | + | 8.19624i | −0.127540 | + | 0.392529i | ||||
\(437\) | 3.94427 | + | 12.1392i | 0.188680 | + | 0.580698i | ||||
\(438\) | 35.8885 | + | 26.0746i | 1.71482 | + | 1.24589i | ||||
\(439\) | −1.18034 | −0.0563345 | −0.0281673 | − | 0.999603i | \(-0.508967\pi\) | ||||
−0.0281673 | + | 0.999603i | \(0.508967\pi\) | |||||||
\(440\) | 4.47214 | 0.213201 | ||||||||
\(441\) | 41.9787 | + | 30.4993i | 1.99899 | + | 1.45235i | ||||
\(442\) | 3.23607 | − | 2.35114i | 0.153924 | − | 0.111832i | ||||
\(443\) | −24.8435 | + | 18.0498i | −1.18035 | + | 0.857573i | −0.992211 | − | 0.124569i | \(-0.960245\pi\) |
−0.188137 | + | 0.982143i | \(0.560245\pi\) | |||||||
\(444\) | 1.23607 | − | 3.80423i | 0.0586612 | − | 0.180541i | ||||
\(445\) | 9.47214 | + | 6.88191i | 0.449022 | + | 0.326234i | ||||
\(446\) | −2.00000 | + | 6.15537i | −0.0947027 | + | 0.291465i | ||||
\(447\) | 10.0000 | + | 30.7768i | 0.472984 | + | 1.45569i | ||||
\(448\) | −0.809017 | + | 0.587785i | −0.0382225 | + | 0.0277702i | ||||
\(449\) | 9.67376 | + | 29.7728i | 0.456533 | + | 1.40506i | 0.869326 | + | 0.494239i | \(0.164553\pi\) |
−0.412793 | + | 0.910825i | \(0.635447\pi\) | |||||||
\(450\) | −14.9443 | − | 45.9937i | −0.704480 | − | 2.16817i | ||||
\(451\) | 11.3262 | − | 8.22899i | 0.533332 | − | 0.387488i | ||||
\(452\) | 0.663119 | + | 2.04087i | 0.0311905 | + | 0.0959945i | ||||
\(453\) | 14.1803 | − | 43.6426i | 0.666250 | − | 2.05051i | ||||
\(454\) | 8.47214 | + | 6.15537i | 0.397617 | + | 0.288886i | ||||
\(455\) | 0.236068 | − | 0.726543i | 0.0110670 | − | 0.0340608i | ||||
\(456\) | −13.0902 | + | 9.51057i | −0.613003 | + | 0.445373i | ||||
\(457\) | −2.47214 | + | 1.79611i | −0.115642 | + | 0.0840186i | −0.644103 | − | 0.764939i | \(-0.722769\pi\) |
0.528461 | + | 0.848957i | \(0.322769\pi\) | |||||||
\(458\) | −17.5623 | − | 12.7598i | −0.820633 | − | 0.596225i | ||||
\(459\) | −11.0557 | −0.516037 | ||||||||
\(460\) | −3.52786 | −0.164488 | ||||||||
\(461\) | 27.7984 | + | 20.1967i | 1.29470 | + | 0.940654i | 0.999889 | − | 0.0149016i | \(-0.00474351\pi\) |
0.294810 | + | 0.955556i | \(0.404744\pi\) | |||||||
\(462\) | −0.763932 | − | 2.35114i | −0.0355413 | − | 0.109385i | ||||
\(463\) | 0.798374 | − | 2.45714i | 0.0371036 | − | 0.114193i | −0.930789 | − | 0.365556i | \(-0.880879\pi\) |
0.967893 | + | 0.251363i | \(0.0808788\pi\) | |||||||
\(464\) | 13.4164 | 0.622841 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 29.0344 | 1.34499 | ||||||||
\(467\) | 1.45492 | − | 4.47777i | 0.0673254 | − | 0.207206i | −0.911734 | − | 0.410781i | \(-0.865256\pi\) |
0.979059 | + | 0.203575i | \(0.0652560\pi\) | |||||||
\(468\) | 4.61803 | + | 14.2128i | 0.213469 | + | 0.656989i | ||||
\(469\) | −1.52786 | − | 1.11006i | −0.0705502 | − | 0.0512577i | ||||
\(470\) | 4.00000 | 0.184506 | ||||||||
\(471\) | 67.5967 | 3.11469 | ||||||||
\(472\) | 4.04508 | + | 2.93893i | 0.186190 | + | 0.135275i | ||||
\(473\) | −2.00000 | + | 1.45309i | −0.0919601 | + | 0.0668129i | ||||
\(474\) | −49.5967 | + | 36.0341i | −2.27805 | + | 1.65510i | ||||
\(475\) | 2.76393 | − | 8.50651i | 0.126818 | − | 0.390305i | ||||
\(476\) | 0.0901699 | + | 0.0655123i | 0.00413293 | + | 0.00300275i | ||||
\(477\) | 24.1803 | − | 74.4194i | 1.10714 | − | 3.40743i | ||||
\(478\) | 5.85410 | + | 18.0171i | 0.267760 | + | 0.824082i | ||||
\(479\) | −18.8435 | + | 13.6906i | −0.860980 | + | 0.625538i | −0.928151 | − | 0.372203i | \(-0.878602\pi\) |
0.0671717 | + | 0.997741i | \(0.478602\pi\) | |||||||
\(480\) | −3.38197 | − | 10.4086i | −0.154365 | − | 0.475086i | ||||
\(481\) | 2.00000 | + | 6.15537i | 0.0911922 | + | 0.280661i | ||||
\(482\) | 18.7984 | − | 13.6578i | 0.856242 | − | 0.622097i | ||||
\(483\) | −1.34752 | − | 4.14725i | −0.0613145 | − | 0.188707i | ||||
\(484\) | −1.33688 | + | 4.11450i | −0.0607673 | + | 0.187023i | ||||
\(485\) | 12.8992 | + | 9.37181i | 0.585722 | + | 0.425552i | ||||
\(486\) | 17.7984 | − | 54.7778i | 0.807351 | − | 2.48477i | ||||
\(487\) | −15.5623 | + | 11.3067i | −0.705195 | + | 0.512354i | −0.881620 | − | 0.471960i | \(-0.843547\pi\) |
0.176425 | + | 0.984314i | \(0.443547\pi\) | |||||||
\(488\) | −14.7984 | + | 10.7516i | −0.669891 | + | 0.486704i | ||||
\(489\) | −28.0344 | − | 20.3682i | −1.26776 | − | 0.921082i | ||||
\(490\) | −11.2361 | −0.507594 | ||||||||
\(491\) | −4.36068 | −0.196795 | −0.0983974 | − | 0.995147i | \(-0.531372\pi\) | ||||
−0.0983974 | + | 0.995147i | \(0.531372\pi\) | |||||||
\(492\) | −11.3262 | − | 8.22899i | −0.510626 | − | 0.370992i | ||||
\(493\) | 0.652476 | + | 2.00811i | 0.0293860 | + | 0.0904409i | ||||
\(494\) | −3.61803 | + | 11.1352i | −0.162783 | + | 0.500995i | ||||
\(495\) | −14.9443 | −0.671695 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.16718 | −0.0972115 | ||||||||
\(498\) | 24.1803 | − | 74.4194i | 1.08355 | − | 3.33481i | ||||
\(499\) | 2.03444 | + | 6.26137i | 0.0910741 | + | 0.280297i | 0.986211 | − | 0.165495i | \(-0.0529221\pi\) |
−0.895137 | + | 0.445792i | \(0.852922\pi\) | |||||||
\(500\) | 4.50000 | + | 3.26944i | 0.201246 | + | 0.146214i | ||||
\(501\) | 20.9443 | 0.935721 | ||||||||
\(502\) | 2.94427 | 0.131409 | ||||||||
\(503\) | −23.9894 | − | 17.4293i | −1.06963 | − | 0.777134i | −0.0937864 | − | 0.995592i | \(-0.529897\pi\) |
−0.975846 | + | 0.218459i | \(0.929897\pi\) | |||||||
\(504\) | 3.19098 | − | 2.31838i | 0.142138 | − | 0.103269i | ||||
\(505\) | 2.42705 | − | 1.76336i | 0.108002 | − | 0.0784683i | ||||
\(506\) | 5.70820 | − | 17.5680i | 0.253761 | − | 0.780995i | ||||
\(507\) | 6.61803 | + | 4.80828i | 0.293917 | + | 0.213543i | ||||
\(508\) | −2.38197 | + | 7.33094i | −0.105683 | + | 0.325258i | ||||
\(509\) | −9.14590 | − | 28.1482i | −0.405385 | − | 1.24765i | −0.920574 | − | 0.390569i | \(-0.872278\pi\) |
0.515189 | − | 0.857077i | \(-0.327722\pi\) | |||||||
\(510\) | 3.23607 | − | 2.35114i | 0.143295 | − | 0.104110i | ||||
\(511\) | −0.618034 | − | 1.90211i | −0.0273402 | − | 0.0841445i | ||||
\(512\) | −1.63525 | − | 5.03280i | −0.0722687 | − | 0.222420i | ||||
\(513\) | 26.1803 | − | 19.0211i | 1.15589 | − | 0.839803i | ||||
\(514\) | 0.972136 | + | 2.99193i | 0.0428791 | + | 0.131968i | ||||
\(515\) | 1.92705 | − | 5.93085i | 0.0849160 | − | 0.261345i | ||||
\(516\) | 2.00000 | + | 1.45309i | 0.0880451 | + | 0.0639685i | ||||
\(517\) | −1.52786 | + | 4.70228i | −0.0671954 | + | 0.206806i | ||||
\(518\) | −0.618034 | + | 0.449028i | −0.0271549 | + | 0.0197292i | ||||
\(519\) | −7.70820 | + | 5.60034i | −0.338353 | + | 0.245828i | ||||
\(520\) | 5.85410 | + | 4.25325i | 0.256719 | + | 0.186518i | ||||
\(521\) | 2.00000 | 0.0876216 | 0.0438108 | − | 0.999040i | \(-0.486050\pi\) | ||||
0.0438108 | + | 0.999040i | \(0.486050\pi\) | |||||||
\(522\) | −33.4164 | −1.46260 | ||||||||
\(523\) | −14.3262 | − | 10.4086i | −0.626443 | − | 0.455137i | 0.228723 | − | 0.973491i | \(-0.426545\pi\) |
−0.855166 | + | 0.518354i | \(0.826545\pi\) | |||||||
\(524\) | 2.29180 | + | 7.05342i | 0.100118 | + | 0.308130i | ||||
\(525\) | −0.944272 | + | 2.90617i | −0.0412114 | + | 0.126836i | ||||
\(526\) | 37.5967 | 1.63930 | ||||||||
\(527\) | 0 | 0 | ||||||||
\(528\) | 31.4164 | 1.36722 | ||||||||
\(529\) | 2.96149 | − | 9.11454i | 0.128761 | − | 0.396284i | ||||
\(530\) | 5.23607 | + | 16.1150i | 0.227440 | + | 0.699989i | ||||
\(531\) | −13.5172 | − | 9.82084i | −0.586597 | − | 0.426188i | ||||
\(532\) | −0.326238 | −0.0141442 | ||||||||
\(533\) | 22.6525 | 0.981188 | ||||||||
\(534\) | 49.5967 | + | 36.0341i | 2.14626 | + | 1.55935i | ||||
\(535\) | −4.66312 | + | 3.38795i | −0.201604 | + | 0.146474i | ||||
\(536\) | 14.4721 | − | 10.5146i | 0.625101 | − | 0.454163i | ||||
\(537\) | −1.70820 | + | 5.25731i | −0.0737144 | + | 0.226870i | ||||
\(538\) | −14.4721 | − | 10.5146i | −0.623938 | − | 0.453318i | ||||
\(539\) | 4.29180 | − | 13.2088i | 0.184861 | − | 0.568943i | ||||
\(540\) | 2.76393 | + | 8.50651i | 0.118941 | + | 0.366062i | ||||
\(541\) | 20.5172 | − | 14.9066i | 0.882104 | − | 0.640886i | −0.0517031 | − | 0.998662i | \(-0.516465\pi\) |
0.933807 | + | 0.357776i | \(0.116465\pi\) | |||||||
\(542\) | 7.09017 | + | 21.8213i | 0.304549 | + | 0.937305i | ||||
\(543\) | 4.18034 | + | 12.8658i | 0.179396 | + | 0.552123i | ||||
\(544\) | −2.09017 | + | 1.51860i | −0.0896153 | + | 0.0651093i | ||||
\(545\) | −4.30902 | − | 13.2618i | −0.184578 | − | 0.568073i | ||||
\(546\) | 1.23607 | − | 3.80423i | 0.0528988 | − | 0.162806i | ||||
\(547\) | 9.80902 | + | 7.12667i | 0.419403 | + | 0.304714i | 0.777398 | − | 0.629009i | \(-0.216539\pi\) |
−0.357994 | + | 0.933724i | \(0.616539\pi\) | |||||||
\(548\) | −1.20163 | + | 3.69822i | −0.0513309 | + | 0.157980i | ||||
\(549\) | 49.4508 | − | 35.9281i | 2.11051 | − | 1.53338i | ||||
\(550\) | −10.4721 | + | 7.60845i | −0.446533 | + | 0.324425i | ||||
\(551\) | −5.00000 | − | 3.63271i | −0.213007 | − | 0.154759i | ||||
\(552\) | 41.3050 | 1.75806 | ||||||||
\(553\) | 2.76393 | 0.117534 | ||||||||
\(554\) | −16.5623 | − | 12.0332i | −0.703665 | − | 0.511243i | ||||
\(555\) | 2.00000 | + | 6.15537i | 0.0848953 | + | 0.261281i | ||||
\(556\) | −2.56231 | + | 7.88597i | −0.108666 | + | 0.334439i | ||||
\(557\) | 12.0000 | 0.508456 | 0.254228 | − | 0.967144i | \(-0.418179\pi\) | ||||
0.254228 | + | 0.967144i | \(0.418179\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.00000 | −0.169182 | ||||||||
\(560\) | −0.354102 | + | 1.08981i | −0.0149635 | + | 0.0460530i | ||||
\(561\) | 1.52786 | + | 4.70228i | 0.0645065 | + | 0.198531i | ||||
\(562\) | −22.2533 | − | 16.1680i | −0.938698 | − | 0.682004i | ||||
\(563\) | 27.5410 | 1.16072 | 0.580358 | − | 0.814362i | \(-0.302913\pi\) | ||||
0.580358 | + | 0.814362i | \(0.302913\pi\) | |||||||
\(564\) | 4.94427 | 0.208191 | ||||||||
\(565\) | −2.80902 | − | 2.04087i | −0.118176 | − | 0.0858601i | ||||
\(566\) | 18.1803 | − | 13.2088i | 0.764177 | − | 0.555207i | ||||
\(567\) | −4.66312 | + | 3.38795i | −0.195833 | + | 0.142281i | ||||
\(568\) | 6.34346 | − | 19.5232i | 0.266166 | − | 0.819174i | ||||
\(569\) | 4.47214 | + | 3.24920i | 0.187482 | + | 0.136213i | 0.677567 | − | 0.735461i | \(-0.263034\pi\) |
−0.490085 | + | 0.871674i | \(0.663034\pi\) | |||||||
\(570\) | −3.61803 | + | 11.1352i | −0.151543 | + | 0.466401i | ||||
\(571\) | −8.70820 | − | 26.8011i | −0.364427 | − | 1.12159i | −0.950339 | − | 0.311216i | \(-0.899264\pi\) |
0.585912 | − | 0.810375i | \(-0.300736\pi\) | |||||||
\(572\) | 3.23607 | − | 2.35114i | 0.135307 | − | 0.0983061i | ||||
\(573\) | −19.1803 | − | 59.0310i | −0.801270 | − | 2.46606i | ||||
\(574\) | 0.826238 | + | 2.54290i | 0.0344865 | + | 0.106139i | ||||
\(575\) | −18.4721 | + | 13.4208i | −0.770341 | + | 0.559686i | ||||
\(576\) | 9.78115 | + | 30.1033i | 0.407548 | + | 1.25430i | ||||
\(577\) | −8.90983 | + | 27.4216i | −0.370921 | + | 1.14158i | 0.575268 | + | 0.817965i | \(0.304898\pi\) |
−0.946190 | + | 0.323613i | \(0.895102\pi\) | |||||||
\(578\) | 21.4894 | + | 15.6129i | 0.893839 | + | 0.649412i | ||||
\(579\) | 3.47214 | − | 10.6861i | 0.144297 | − | 0.444101i | ||||
\(580\) | 1.38197 | − | 1.00406i | 0.0573830 | − | 0.0416912i | ||||
\(581\) | −2.85410 | + | 2.07363i | −0.118408 | + | 0.0860285i | ||||
\(582\) | 67.5410 | + | 49.0714i | 2.79967 | + | 2.03408i | ||||
\(583\) | −20.9443 | −0.867423 | ||||||||
\(584\) | 18.9443 | 0.783920 | ||||||||
\(585\) | −19.5623 | − | 14.2128i | −0.808802 | − | 0.587629i | ||||
\(586\) | −0.236068 | − | 0.726543i | −0.00975188 | − | 0.0300132i | ||||
\(587\) | 2.00000 | − | 6.15537i | 0.0825488 | − | 0.254059i | −0.901260 | − | 0.433278i | \(-0.857357\pi\) |
0.983809 | + | 0.179219i | \(0.0573569\pi\) | |||||||
\(588\) | −13.8885 | −0.572754 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 3.61803 | 0.148952 | ||||||||
\(591\) | −11.4164 | + | 35.1361i | −0.469608 | + | 1.44531i | ||||
\(592\) | −3.00000 | − | 9.23305i | −0.123299 | − | 0.379476i | ||||
\(593\) | 5.28115 | + | 3.83698i | 0.216871 | + | 0.157566i | 0.690917 | − | 0.722934i | \(-0.257207\pi\) |
−0.474046 | + | 0.880500i | \(0.657207\pi\) | |||||||
\(594\) | −46.8328 | −1.92157 | ||||||||
\(595\) | −0.180340 | −0.00739321 | ||||||||
\(596\) | −5.00000 | − | 3.63271i | −0.204808 | − | 0.148802i | ||||
\(597\) | −49.5967 | + | 36.0341i | −2.02986 | + | 1.47478i | ||||
\(598\) | 24.1803 | − | 17.5680i | 0.988808 | − | 0.718411i | ||||
\(599\) | −4.51064 | + | 13.8823i | −0.184300 | + | 0.567217i | −0.999936 | − | 0.0113491i | \(-0.996387\pi\) |
0.815636 | + | 0.578566i | \(0.196387\pi\) | |||||||
\(600\) | −23.4164 | − | 17.0130i | −0.955971 | − | 0.694553i | ||||
\(601\) | −9.43769 | + | 29.0462i | −0.384972 | + | 1.18482i | 0.551529 | + | 0.834156i | \(0.314044\pi\) |
−0.936501 | + | 0.350665i | \(0.885956\pi\) | |||||||
\(602\) | −0.145898 | − | 0.449028i | −0.00594636 | − | 0.0183010i | ||||
\(603\) | −48.3607 | + | 35.1361i | −1.96940 | + | 1.43085i | ||||
\(604\) | 2.70820 | + | 8.33499i | 0.110195 | + | 0.339146i | ||||
\(605\) | −2.16312 | − | 6.65740i | −0.0879433 | − | 0.270662i | ||||
\(606\) | 12.7082 | − | 9.23305i | 0.516235 | − | 0.375067i | ||||
\(607\) | 6.94427 | + | 21.3723i | 0.281859 | + | 0.867474i | 0.987322 | + | 0.158727i | \(0.0507390\pi\) |
−0.705463 | + | 0.708747i | \(0.749261\pi\) | |||||||
\(608\) | 2.33688 | − | 7.19218i | 0.0947730 | − | 0.291681i | ||||
\(609\) | 1.70820 | + | 1.24108i | 0.0692199 | + | 0.0502912i | ||||
\(610\) | −4.09017 | + | 12.5882i | −0.165606 | + | 0.509683i | ||||
\(611\) | −6.47214 | + | 4.70228i | −0.261835 | + | 0.190234i | ||||
\(612\) | 2.85410 | − | 2.07363i | 0.115370 | − | 0.0838214i | ||||
\(613\) | −35.5066 | − | 25.7970i | −1.43410 | − | 1.04193i | −0.989235 | − | 0.146333i | \(-0.953253\pi\) |
−0.444862 | − | 0.895599i | \(-0.646747\pi\) | |||||||
\(614\) | −46.4508 | −1.87460 | ||||||||
\(615\) | 22.6525 | 0.913436 | ||||||||
\(616\) | −0.854102 | − | 0.620541i | −0.0344127 | − | 0.0250023i | ||||
\(617\) | 10.0344 | + | 30.8828i | 0.403971 | + | 1.24330i | 0.921751 | + | 0.387782i | \(0.126759\pi\) |
−0.517780 | + | 0.855514i | \(0.673241\pi\) | |||||||
\(618\) | 10.0902 | − | 31.0543i | 0.405886 | − | 1.24919i | ||||
\(619\) | −6.18034 | −0.248409 | −0.124204 | − | 0.992257i | \(-0.539638\pi\) | ||||
−0.124204 | + | 0.992257i | \(0.539638\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −82.6099 | −3.31502 | ||||||||
\(622\) | −14.5902 | + | 44.9039i | −0.585013 | + | 1.80048i | ||||
\(623\) | −0.854102 | − | 2.62866i | −0.0342189 | − | 0.105315i | ||||
\(624\) | 41.1246 | + | 29.8788i | 1.64630 | + | 1.19611i | ||||
\(625\) | 11.0000 | 0.440000 | ||||||||
\(626\) | −27.1246 | −1.08412 | ||||||||
\(627\) | −11.7082 | − | 8.50651i | −0.467581 | − | 0.339717i | ||||
\(628\) | −10.4443 | + | 7.58821i | −0.416772 | + | 0.302802i | ||||
\(629\) | 1.23607 | − | 0.898056i | 0.0492853 | − | 0.0358078i | ||||
\(630\) | 0.881966 | − | 2.71441i | 0.0351384 | − | 0.108145i | ||||
\(631\) | 27.7984 | + | 20.1967i | 1.10664 | + | 0.804018i | 0.982131 | − | 0.188201i | \(-0.0602656\pi\) |
0.124505 | + | 0.992219i | \(0.460266\pi\) | |||||||
\(632\) | −8.09017 | + | 24.8990i | −0.321810 | + | 0.990428i | ||||
\(633\) | 23.1803 | + | 71.3418i | 0.921336 | + | 2.83558i | ||||
\(634\) | −5.30902 | + | 3.85723i | −0.210848 | + | 0.153190i | ||||
\(635\) | −3.85410 | − | 11.8617i | −0.152945 | − | 0.470717i | ||||
\(636\) | 6.47214 | + | 19.9192i | 0.256637 | + | 0.789847i | ||||
\(637\) | 18.1803 | − | 13.2088i | 0.720331 | − | 0.523351i | ||||
\(638\) | 2.76393 | + | 8.50651i | 0.109425 | + | 0.336776i | ||||
\(639\) | −21.1976 | + | 65.2394i | −0.838563 | + | 2.58083i | ||||
\(640\) | −11.0172 | − | 8.00448i | −0.435494 | − | 0.316405i | ||||
\(641\) | −3.70820 | + | 11.4127i | −0.146465 | + | 0.450774i | −0.997197 | − | 0.0748272i | \(-0.976159\pi\) |
0.850731 | + | 0.525601i | \(0.176159\pi\) | |||||||
\(642\) | −24.4164 | + | 17.7396i | −0.963639 | + | 0.700125i | ||||
\(643\) | 15.7984 | − | 11.4782i | 0.623027 | − | 0.452656i | −0.230951 | − | 0.972966i | \(-0.574184\pi\) |
0.853978 | + | 0.520310i | \(0.174184\pi\) | |||||||
\(644\) | 0.673762 | + | 0.489517i | 0.0265499 | + | 0.0192897i | ||||
\(645\) | −4.00000 | −0.157500 | ||||||||
\(646\) | 2.76393 | 0.108745 | ||||||||
\(647\) | −0.763932 | − | 0.555029i | −0.0300333 | − | 0.0218204i | 0.572667 | − | 0.819788i | \(-0.305909\pi\) |
−0.602701 | + | 0.797967i | \(0.705909\pi\) | |||||||
\(648\) | −16.8713 | − | 51.9246i | −0.662768 | − | 2.03979i | ||||
\(649\) | −1.38197 | + | 4.25325i | −0.0542469 | + | 0.166955i | ||||
\(650\) | −20.9443 | −0.821502 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 6.61803 | 0.259182 | ||||||||
\(653\) | −14.6180 | + | 44.9897i | −0.572048 | + | 1.76058i | 0.0739705 | + | 0.997260i | \(0.476433\pi\) |
−0.646018 | + | 0.763322i | \(0.723567\pi\) | |||||||
\(654\) | −22.5623 | − | 69.4396i | −0.882256 | − | 2.71530i | ||||
\(655\) | −9.70820 | − | 7.05342i | −0.379331 | − | 0.275600i | ||||
\(656\) | −33.9787 | −1.32665 | ||||||||
\(657\) | −63.3050 | −2.46976 | ||||||||
\(658\) | −0.763932 | − | 0.555029i | −0.0297812 | − | 0.0216373i | ||||
\(659\) | −20.7533 | + | 15.0781i | −0.808433 | + | 0.587361i | −0.913376 | − | 0.407117i | \(-0.866534\pi\) |
0.104943 | + | 0.994478i | \(0.466534\pi\) | |||||||
\(660\) | 3.23607 | − | 2.35114i | 0.125964 | − | 0.0915180i | ||||
\(661\) | −0.197561 | + | 0.608030i | −0.00768423 | + | 0.0236496i | −0.954825 | − | 0.297168i | \(-0.903958\pi\) |
0.947141 | + | 0.320818i | \(0.103958\pi\) | |||||||
\(662\) | 2.61803 | + | 1.90211i | 0.101753 | + | 0.0739277i | ||||
\(663\) | −2.47214 | + | 7.60845i | −0.0960098 | + | 0.295488i | ||||
\(664\) | −10.3262 | − | 31.7809i | −0.400736 | − | 1.23334i | ||||
\(665\) | 0.427051 | − | 0.310271i | 0.0165603 | − | 0.0120318i | ||||
\(666\) | 7.47214 | + | 22.9969i | 0.289539 | + | 0.891111i | ||||
\(667\) | 4.87539 | + | 15.0049i | 0.188776 | + | 0.580992i | ||||
\(668\) | −3.23607 | + | 2.35114i | −0.125207 | + | 0.0909684i | ||||
\(669\) | −4.00000 | − | 12.3107i | −0.154649 | − | 0.475960i | ||||
\(670\) | 4.00000 | − | 12.3107i | 0.154533 | − | 0.475605i | ||||
\(671\) | −13.2361 | − | 9.61657i | −0.510973 | − | 0.371243i | ||||
\(672\) | −0.798374 | + | 2.45714i | −0.0307979 | + | 0.0947863i | ||||
\(673\) | −23.4721 | + | 17.0535i | −0.904784 | + | 0.657364i | −0.939690 | − | 0.342026i | \(-0.888887\pi\) |
0.0349060 | + | 0.999391i | \(0.488887\pi\) | |||||||
\(674\) | −19.3262 | + | 14.0413i | −0.744419 | + | 0.540852i | ||||
\(675\) | 46.8328 | + | 34.0260i | 1.80260 | + | 1.30966i | ||||
\(676\) | −1.56231 | −0.0600887 | ||||||||
\(677\) | 46.7214 | 1.79565 | 0.897824 | − | 0.440355i | \(-0.145147\pi\) | ||||
0.897824 | + | 0.440355i | \(0.145147\pi\) | |||||||
\(678\) | −14.7082 | − | 10.6861i | −0.564865 | − | 0.410399i | ||||
\(679\) | −1.16312 | − | 3.57971i | −0.0446364 | − | 0.137377i | ||||
\(680\) | 0.527864 | − | 1.62460i | 0.0202427 | − | 0.0623005i | ||||
\(681\) | −20.9443 | −0.802586 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.18034 | 0.198220 | 0.0991101 | − | 0.995076i | \(-0.468400\pi\) | ||||
0.0991101 | + | 0.995076i | \(0.468400\pi\) | |||||||
\(684\) | −3.19098 | + | 9.82084i | −0.122010 | + | 0.375509i | ||||
\(685\) | −1.94427 | − | 5.98385i | −0.0742868 | − | 0.228631i | ||||
\(686\) | 4.30902 | + | 3.13068i | 0.164519 | + | 0.119530i | ||||
\(687\) | 43.4164 | 1.65644 | ||||||||
\(688\) | 6.00000 | 0.228748 | ||||||||
\(689\) | −27.4164 | − | 19.9192i | −1.04448 | − | 0.758861i | ||||
\(690\) | 24.1803 | − | 17.5680i | 0.920530 | − | 0.668804i | ||||
\(691\) | −2.57295 | + | 1.86936i | −0.0978796 | + | 0.0711137i | −0.635649 | − | 0.771979i | \(-0.719267\pi\) |
0.537769 | + | 0.843092i | \(0.319267\pi\) | |||||||
\(692\) | 0.562306 | − | 1.73060i | 0.0213757 | − | 0.0657875i | ||||
\(693\) | 2.85410 | + | 2.07363i | 0.108418 | + | 0.0787706i | ||||
\(694\) | −12.0902 | + | 37.2097i | −0.458937 | + | 1.41246i | ||||
\(695\) | −4.14590 | − | 12.7598i | −0.157263 | − | 0.484005i | ||||
\(696\) | −16.1803 | + | 11.7557i | −0.613314 | + | 0.445599i | ||||
\(697\) | −1.65248 | − | 5.08580i | −0.0625920 | − | 0.192638i | ||||
\(698\) | −3.94427 | − | 12.1392i | −0.149293 | − | 0.459476i | ||||
\(699\) | −46.9787 | + | 34.1320i | −1.77690 | + | 1.29099i | ||||
\(700\) | −0.180340 | − | 0.555029i | −0.00681621 | − | 0.0209781i | ||||
\(701\) | 2.16312 | − | 6.65740i | 0.0816999 | − | 0.251446i | −0.901860 | − | 0.432028i | \(-0.857798\pi\) |
0.983560 | + | 0.180582i | \(0.0577981\pi\) | |||||||
\(702\) | −61.3050 | − | 44.5407i | −2.31381 | − | 1.68108i | ||||
\(703\) | −1.38197 | + | 4.25325i | −0.0521218 | + | 0.160415i | ||||
\(704\) | 6.85410 | − | 4.97980i | 0.258324 | − | 0.187683i | ||||
\(705\) | −6.47214 | + | 4.70228i | −0.243755 | + | 0.177098i | ||||
\(706\) | 9.70820 | + | 7.05342i | 0.365373 | + | 0.265459i | ||||
\(707\) | −0.708204 | −0.0266348 | ||||||||
\(708\) | 4.47214 | 0.168073 | ||||||||
\(709\) | 20.6525 | + | 15.0049i | 0.775620 | + | 0.563521i | 0.903661 | − | 0.428248i | \(-0.140869\pi\) |
−0.128041 | + | 0.991769i | \(0.540869\pi\) | |||||||
\(710\) | −4.59017 | − | 14.1271i | −0.172266 | − | 0.530180i | ||||
\(711\) | 27.0344 | − | 83.2035i | 1.01387 | − | 3.12037i | ||||
\(712\) | 26.1803 | 0.981150 | ||||||||
\(713\) | 0 | 0 | ||||||||
\(714\) | −0.944272 | −0.0353385 | ||||||||
\(715\) | −2.00000 | + | 6.15537i | −0.0747958 | + | 0.230198i | ||||
\(716\) | −0.326238 | − | 1.00406i | −0.0121921 | − | 0.0375234i | ||||
\(717\) | −30.6525 | − | 22.2703i | −1.14474 | − | 0.831701i | ||||
\(718\) | 35.9787 | 1.34271 | ||||||||
\(719\) | 13.8197 | 0.515386 | 0.257693 | − | 0.966227i | \(-0.417038\pi\) | ||||
0.257693 | + | 0.966227i | \(0.417038\pi\) | |||||||
\(720\) | 29.3435 | + | 21.3193i | 1.09357 | + | 0.794522i | ||||
\(721\) | −1.19098 | + | 0.865300i | −0.0443545 | + | 0.0322254i | ||||
\(722\) | 18.3262 | − | 13.3148i | 0.682032 | − | 0.495525i | ||||
\(723\) | −14.3607 | + | 44.1976i | −0.534079 | + | 1.64373i | ||||
\(724\) | −2.09017 | − | 1.51860i | −0.0776806 | − | 0.0564382i | ||||
\(725\) | 3.41641 | − | 10.5146i | 0.126882 | − | 0.390503i | ||||
\(726\) | −11.3262 | − | 34.8586i | −0.420356 | − | 1.29372i | ||||
\(727\) | 35.7877 | − | 26.0013i | 1.32729 | − | 0.964335i | 0.327483 | − | 0.944857i | \(-0.393800\pi\) |
0.999810 | − | 0.0194781i | \(-0.00620048\pi\) | |||||||
\(728\) | −0.527864 | − | 1.62460i | −0.0195639 | − | 0.0602116i | ||||
\(729\) | 12.9615 | + | 39.8914i | 0.480055 | + | 1.47746i | ||||
\(730\) | 11.0902 | − | 8.05748i | 0.410466 | − | 0.298221i | ||||
\(731\) | 0.291796 | + | 0.898056i | 0.0107925 | + | 0.0332158i | ||||
\(732\) | −5.05573 | + | 15.5599i | −0.186865 | + | 0.575112i | ||||
\(733\) | −2.80902 | − | 2.04087i | −0.103753 | − | 0.0753813i | 0.534699 | − | 0.845043i | \(-0.320425\pi\) |
−0.638452 | + | 0.769661i | \(0.720425\pi\) | |||||||
\(734\) | −9.00000 | + | 27.6992i | −0.332196 | + | 1.02239i | ||||
\(735\) | 18.1803 | − | 13.2088i | 0.670592 | − | 0.487214i | ||||
\(736\) | −15.6180 | + | 11.3472i | −0.575688 | + | 0.418262i | ||||
\(737\) | 12.9443 | + | 9.40456i | 0.476808 | + | 0.346422i | ||||
\(738\) | 84.6312 | 3.11532 | ||||||||
\(739\) | −6.18034 | −0.227347 | −0.113674 | − | 0.993518i | \(-0.536262\pi\) | ||||
−0.113674 | + | 0.993518i | \(0.536262\pi\) | |||||||
\(740\) | −1.00000 | − | 0.726543i | −0.0367607 | − | 0.0267082i | ||||
\(741\) | −7.23607 | − | 22.2703i | −0.265824 | − | 0.818121i | ||||
\(742\) | 1.23607 | − | 3.80423i | 0.0453775 | − | 0.139658i | ||||
\(743\) | −50.1803 | −1.84094 | −0.920469 | − | 0.390815i | \(-0.872193\pi\) | ||||
−0.920469 | + | 0.390815i | \(0.872193\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 10.0000 | 0.366372 | ||||||||
\(746\) | 9.50000 | − | 29.2380i | 0.347820 | − | 1.07048i | ||||
\(747\) | 34.5066 | + | 106.200i | 1.26253 | + | 3.88567i | ||||
\(748\) | −0.763932 | − | 0.555029i | −0.0279321 | − | 0.0202939i | ||||
\(749\) | 1.36068 | 0.0497182 | ||||||||
\(750\) | −47.1246 | −1.72075 | ||||||||
\(751\) | 17.4271 | + | 12.6615i | 0.635922 | + | 0.462024i | 0.858447 | − | 0.512903i | \(-0.171430\pi\) |
−0.222525 | + | 0.974927i | \(0.571430\pi\) | |||||||
\(752\) | 9.70820 | − | 7.05342i | 0.354022 | − | 0.257212i | ||||
\(753\) | −4.76393 | + | 3.46120i | −0.173607 | + | 0.126133i | ||||
\(754\) | −4.47214 | + | 13.7638i | −0.162866 | + | 0.501249i | ||||
\(755\) | −11.4721 | − | 8.33499i | −0.417514 | − | 0.303342i | ||||
\(756\) | 0.652476 | − | 2.00811i | 0.0237303 | − | 0.0730344i | ||||
\(757\) | −2.67376 | − | 8.22899i | −0.0971795 | − | 0.299088i | 0.890636 | − | 0.454717i | \(-0.150260\pi\) |
−0.987816 | + | 0.155629i | \(0.950260\pi\) | |||||||
\(758\) | 2.76393 | − | 2.00811i | 0.100391 | − | 0.0729380i | ||||
\(759\) | 11.4164 | + | 35.1361i | 0.414389 | + | 1.27536i | ||||
\(760\) | 1.54508 | + | 4.75528i | 0.0560461 | + | 0.172492i | ||||
\(761\) | 1.61803 | − | 1.17557i | 0.0586537 | − | 0.0426144i | −0.558072 | − | 0.829792i | \(-0.688459\pi\) |
0.616726 | + | 0.787178i | \(0.288459\pi\) | |||||||
\(762\) | −20.1803 | − | 62.1087i | −0.731057 | − | 2.24996i | ||||
\(763\) | −1.01722 | + | 3.13068i | −0.0368259 | + | 0.113338i | ||||
\(764\) | 9.59017 | + | 6.96767i | 0.346960 | + | 0.252081i | ||||
\(765\) | −1.76393 | + | 5.42882i | −0.0637751 | + | 0.196280i | ||||
\(766\) | −31.2705 | + | 22.7194i | −1.12985 | + | 0.820884i | ||||
\(767\) | −5.85410 | + | 4.25325i | −0.211379 | + | 0.153576i | ||||
\(768\) | −35.5066 | − | 25.7970i | −1.28123 | − | 0.930870i | ||||
\(769\) | −47.3607 | −1.70787 | −0.853935 | − | 0.520380i | \(-0.825790\pi\) | ||||
−0.853935 | + | 0.520380i | \(0.825790\pi\) | |||||||
\(770\) | −0.763932 | −0.0275302 | ||||||||
\(771\) | −5.09017 | − | 3.69822i | −0.183318 | − | 0.133188i | ||||
\(772\) | 0.663119 | + | 2.04087i | 0.0238662 | + | 0.0734525i | ||||
\(773\) | 3.43769 | − | 10.5801i | 0.123645 | − | 0.380541i | −0.870007 | − | 0.493040i | \(-0.835886\pi\) |
0.993652 | + | 0.112499i | \(0.0358856\pi\) | |||||||
\(774\) | −14.9443 | −0.537161 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 35.6525 | 1.27985 | ||||||||
\(777\) | 0.472136 | − | 1.45309i | 0.0169378 | − | 0.0521291i | ||||
\(778\) | 8.94427 | + | 27.5276i | 0.320668 | + | 0.986914i | ||||
\(779\) | 12.6631 | + | 9.20029i | 0.453703 | + | 0.329635i | ||||
\(780\) | 6.47214 | 0.231740 | ||||||||
\(781\) | 18.3607 | 0.656997 | ||||||||
\(782\) | −5.70820 | − | 4.14725i | −0.204125 | − | 0.148305i | ||||
\(783\) | 32.3607 | − | 23.5114i | 1.15648 | − | 0.840229i | ||||
\(784\) | −27.2705 | + | 19.8132i | −0.973947 | + | 0.707614i | ||||
\(785\) | 6.45492 | − | 19.8662i | 0.230386 | − | 0.709055i | ||||
\(786\) | −50.8328 | − | 36.9322i | −1.81315 | − | 1.31733i | ||||
\(787\) | −2.27051 | + | 6.98791i | −0.0809349 | + | 0.249092i | −0.983334 | − | 0.181810i | \(-0.941804\pi\) |
0.902399 | + | 0.430902i | \(0.141804\pi\) | |||||||
\(788\) | −2.18034 | − | 6.71040i | −0.0776714 | − | 0.239048i | ||||
\(789\) | −60.8328 | + | 44.1976i | −2.16571 | + | 1.57348i | ||||
\(790\) | 5.85410 | + | 18.0171i | 0.208280 | + | 0.641019i | ||||
\(791\) | 0.253289 | + | 0.779543i | 0.00900592 | + | 0.0277174i | ||||
\(792\) | −27.0344 | + | 19.6417i | −0.960627 | + | 0.697936i | ||||
\(793\) | −8.18034 | − | 25.1765i | −0.290492 | − | 0.894044i | ||||
\(794\) | −3.50000 | + | 10.7719i | −0.124210 | + | 0.382280i | ||||
\(795\) | −27.4164 | − | 19.9192i | −0.972360 | − | 0.706461i | ||||
\(796\) | 3.61803 | − | 11.1352i | 0.128238 | − | 0.394675i | ||||
\(797\) | −44.8328 | + | 32.5729i | −1.58806 | + | 1.15379i | −0.681416 | + | 0.731897i | \(0.738635\pi\) |
−0.906644 | + | 0.421896i | \(0.861365\pi\) | |||||||
\(798\) | 2.23607 | − | 1.62460i | 0.0791559 | − | 0.0575102i | ||||
\(799\) | 1.52786 | + | 1.11006i | 0.0540519 | + | 0.0392710i | ||||
\(800\) | 13.5279 | 0.478282 | ||||||||
\(801\) | −87.4853 | −3.09114 | ||||||||
\(802\) | 49.9787 | + | 36.3117i | 1.76481 | + | 1.28221i | ||||
\(803\) | 5.23607 | + | 16.1150i | 0.184777 | + | 0.568685i | ||||
\(804\) | 4.94427 | − | 15.2169i | 0.174371 | − | 0.536659i | ||||
\(805\) | −1.34752 | −0.0474940 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 35.7771 | 1.25941 | ||||||||
\(808\) | 2.07295 | − | 6.37988i | 0.0729261 | − | 0.224443i | ||||
\(809\) | −7.23607 | − | 22.2703i | −0.254407 | − | 0.782983i | −0.993946 | − | 0.109870i | \(-0.964957\pi\) |
0.739539 | − | 0.673113i | \(-0.235043\pi\) | |||||||
\(810\) | −31.9615 | − | 23.2214i | −1.12301 | − | 0.815916i | ||||
\(811\) | −28.0000 | −0.983213 | −0.491606 | − | 0.870817i | \(-0.663590\pi\) | ||||
−0.491606 | + | 0.870817i | \(0.663590\pi\) | |||||||
\(812\) | −0.403252 | −0.0141514 | ||||||||
\(813\) | −37.1246 | − | 26.9726i | −1.30202 | − | 0.945971i | ||||
\(814\) | 5.23607 | − | 3.80423i | 0.183524 | − | 0.133338i | ||||
\(815\) | −8.66312 | + | 6.29412i | −0.303456 | + | 0.220474i | ||||
\(816\) | 3.70820 | − | 11.4127i | 0.129813 | − | 0.399524i | ||||
\(817\) | −2.23607 | − | 1.62460i | −0.0782301 | − | 0.0568375i | ||||
\(818\) | 1.90983 | − | 5.87785i | 0.0667756 | − | 0.205514i | ||||
\(819\) | 1.76393 | + | 5.42882i | 0.0616368 | + | 0.189698i | ||||
\(820\) | −3.50000 | + | 2.54290i | −0.122225 | + | 0.0888019i | ||||
\(821\) | −9.43769 | − | 29.0462i | −0.329378 | − | 1.01372i | −0.969426 | − | 0.245386i | \(-0.921085\pi\) |
0.640048 | − | 0.768335i | \(-0.278915\pi\) | |||||||
\(822\) | −10.1803 | − | 31.3319i | −0.355080 | − | 1.09282i | ||||
\(823\) | −11.5623 | + | 8.40051i | −0.403037 | + | 0.292823i | −0.770777 | − | 0.637105i | \(-0.780132\pi\) |
0.367740 | + | 0.929929i | \(0.380132\pi\) | |||||||
\(824\) | −4.30902 | − | 13.2618i | −0.150112 | − | 0.461996i | ||||
\(825\) | 8.00000 | − | 24.6215i | 0.278524 | − | 0.857209i | ||||
\(826\) | −0.690983 | − | 0.502029i | −0.0240424 | − | 0.0174678i | ||||
\(827\) | −5.36068 | + | 16.4985i | −0.186409 | + | 0.573708i | −0.999970 | − | 0.00777178i | \(-0.997526\pi\) |
0.813561 | + | 0.581480i | \(0.197526\pi\) | |||||||
\(828\) | 21.3262 | − | 15.4944i | 0.741138 | − | 0.538468i | ||||
\(829\) | 13.6180 | − | 9.89408i | 0.472974 | − | 0.343636i | −0.325625 | − | 0.945499i | \(-0.605575\pi\) |
0.798599 | + | 0.601863i | \(0.205575\pi\) | |||||||
\(830\) | −19.5623 | − | 14.2128i | −0.679018 | − | 0.493335i | ||||
\(831\) | 40.9443 | 1.42034 | ||||||||
\(832\) | 13.7082 | 0.475246 | ||||||||
\(833\) | −4.29180 | − | 3.11817i | −0.148702 | − | 0.108038i | ||||
\(834\) | −21.7082 | − | 66.8110i | −0.751694 | − | 2.31348i | ||||
\(835\) | 2.00000 | − | 6.15537i | 0.0692129 | − | 0.213015i | ||||
\(836\) | 2.76393 | 0.0955926 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −16.3820 | −0.565906 | ||||||||
\(839\) | 8.94427 | − | 27.5276i | 0.308791 | − | 0.950360i | −0.669445 | − | 0.742862i | \(-0.733468\pi\) |
0.978235 | − | 0.207498i | \(-0.0665320\pi\) | |||||||
\(840\) | −0.527864 | − | 1.62460i | −0.0182130 | − | 0.0560540i | ||||
\(841\) | 17.2812 | + | 12.5555i | 0.595902 | + | 0.432948i | ||||
\(842\) | 47.5066 | 1.63718 | ||||||||
\(843\) | 55.0132 | 1.89475 | ||||||||
\(844\) | −11.5902 | − | 8.42075i | −0.398950 | − | 0.289854i | ||||
\(845\) | 2.04508 | − | 1.48584i | 0.0703531 | − | 0.0511145i | ||||
\(846\) | −24.1803 | + | 17.5680i | −0.831337 | + | 0.604002i | ||||
\(847\) | −0.510643 | + | 1.57160i | −0.0175459 | + | 0.0540007i | ||||
\(848\) | 41.1246 | + | 29.8788i | 1.41222 | + | 1.02604i | ||||
\(849\) | −13.8885 | + | 42.7445i | −0.476654 | + | 1.46699i | ||||
\(850\) | 1.52786 | + | 4.70228i | 0.0524053 | + | 0.161287i | ||||
\(851\) | 9.23607 | − | 6.71040i | 0.316608 | − | 0.230029i | ||||
\(852\) | −5.67376 | − | 17.4620i | −0.194380 | − | 0.598240i | ||||
\(853\) | 3.27051 | + | 10.0656i | 0.111980 | + | 0.344639i | 0.991305 | − | 0.131583i | \(-0.0420059\pi\) |
−0.879325 | + | 0.476222i | \(0.842006\pi\) | |||||||
\(854\) | 2.52786 | − | 1.83660i | 0.0865017 | − | 0.0628472i | ||||
\(855\) | −5.16312 | − | 15.8904i | −0.176575 | − | 0.543442i | ||||
\(856\) | −3.98278 | + | 12.2577i | −0.136129 | + | 0.418961i | ||||
\(857\) | 45.0344 | + | 32.7194i | 1.53835 | + | 1.11767i | 0.951361 | + | 0.308078i | \(0.0996856\pi\) |
0.586986 | + | 0.809597i | \(0.300314\pi\) | |||||||
\(858\) | −10.4721 | + | 32.2299i | −0.357513 | + | 1.10031i | ||||
\(859\) | 1.70820 | − | 1.24108i | 0.0582832 | − | 0.0423452i | −0.558262 | − | 0.829665i | \(-0.688532\pi\) |
0.616545 | + | 0.787319i | \(0.288532\pi\) | |||||||
\(860\) | 0.618034 | − | 0.449028i | 0.0210748 | − | 0.0153117i | ||||
\(861\) | −4.32624 | − | 3.14320i | −0.147438 | − | 0.107120i | ||||
\(862\) | 19.4164 | 0.661325 | ||||||||
\(863\) | 9.81966 | 0.334265 | 0.167133 | − | 0.985934i | \(-0.446549\pi\) | ||||
0.167133 | + | 0.985934i | \(0.446549\pi\) | |||||||
\(864\) | 39.5967 | + | 28.7687i | 1.34711 | + | 0.978732i | ||||
\(865\) | 0.909830 | + | 2.80017i | 0.0309351 | + | 0.0952086i | ||||
\(866\) | −5.09017 | + | 15.6659i | −0.172971 | + | 0.532350i | ||||
\(867\) | −53.1246 | −1.80421 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −23.4164 | −0.794347 | ||||||||
\(870\) | −4.47214 | + | 13.7638i | −0.151620 | + | 0.466637i | ||||
\(871\) | 8.00000 | + | 24.6215i | 0.271070 | + | 0.834267i | ||||
\(872\) | −25.2254 | − | 18.3273i | −0.854241 | − | 0.620642i | ||||
\(873\) | −119.138 | −4.03220 | ||||||||
\(874\) | 20.6525 | 0.698580 | ||||||||
\(875\) | 1.71885 | + | 1.24882i | 0.0581076 | + | 0.0422177i | ||||
\(876\) | 13.7082 | − | 9.95959i | 0.463157 | − | 0.336503i | ||||
\(877\) | 14.6074 | − | 10.6129i | 0.493257 | − | 0.358372i | −0.313179 | − | 0.949694i | \(-0.601394\pi\) |
0.806435 | + | 0.591322i | \(0.201394\pi\) | |||||||
\(878\) | −0.590170 | + | 1.81636i | −0.0199173 | + | 0.0612991i | ||||
\(879\) | 1.23607 | + | 0.898056i | 0.0416915 | + | 0.0302907i | ||||
\(880\) | 3.00000 | − | 9.23305i | 0.101130 | − | 0.311246i | ||||
\(881\) | 6.29180 | + | 19.3642i | 0.211976 | + | 0.652395i | 0.999354 | + | 0.0359251i | \(0.0114378\pi\) |
−0.787378 | + | 0.616470i | \(0.788562\pi\) | |||||||
\(882\) | 67.9230 | − | 49.3489i | 2.28709 | − | 1.66167i | ||||
\(883\) | 9.81966 | + | 30.2218i | 0.330458 | + | 1.01704i | 0.968916 | + | 0.247389i | \(0.0795724\pi\) |
−0.638458 | + | 0.769656i | \(0.720428\pi\) | |||||||
\(884\) | −0.472136 | − | 1.45309i | −0.0158797 | − | 0.0488725i | ||||
\(885\) | −5.85410 | + | 4.25325i | −0.196783 | + | 0.142972i | ||||
\(886\) | 15.3541 | + | 47.2551i | 0.515831 | + | 1.58757i | ||||
\(887\) | 8.36475 | − | 25.7440i | 0.280861 | − | 0.864400i | −0.706748 | − | 0.707465i | \(-0.749839\pi\) |
0.987609 | − | 0.156935i | \(-0.0501613\pi\) | |||||||
\(888\) | 11.7082 | + | 8.50651i | 0.392902 | + | 0.285460i | ||||
\(889\) | −0.909830 | + | 2.80017i | −0.0305147 | + | 0.0939147i | ||||
\(890\) | 15.3262 | − | 11.1352i | 0.513737 | − | 0.373252i | ||||
\(891\) | 39.5066 | − | 28.7032i | 1.32352 | − | 0.961594i | ||||
\(892\) | 2.00000 | + | 1.45309i | 0.0669650 | + | 0.0486529i | ||||
\(893\) | −5.52786 | −0.184983 | ||||||||
\(894\) | 52.3607 | 1.75120 | ||||||||
\(895\) | 1.38197 | + | 1.00406i | 0.0461940 | + | 0.0335619i | ||||
\(896\) | 0.993422 | + | 3.05744i | 0.0331879 | + | 0.102142i | ||||
\(897\) | −18.4721 | + | 56.8514i | −0.616767 | + | 1.89821i | ||||
\(898\) | 50.6525 | 1.69030 | ||||||||
\(899\) | 0 | 0 | ||||||||
\(900\) | −18.4721 | −0.615738 | ||||||||
\(901\) | −2.47214 | + | 7.60845i | −0.0823588 | + | 0.253474i | ||||
\(902\) | −7.00000 | − | 21.5438i | −0.233075 | − | 0.717330i | ||||
\(903\) | 0.763932 | + | 0.555029i | 0.0254221 | + | 0.0184702i | ||||
\(904\) | −7.76393 | −0.258225 | ||||||||
\(905\) | 4.18034 | 0.138959 | ||||||||
\(906\) | −60.0689 | − | 43.6426i | −1.99565 | − | 1.44993i | ||||
\(907\) | 19.6074 | − | 14.2456i | 0.651053 | − | 0.473017i | −0.212577 | − | 0.977144i | \(-0.568186\pi\) |
0.863630 | + | 0.504127i | \(0.168186\pi\) | |||||||
\(908\) | 3.23607 | − | 2.35114i | 0.107393 | − | 0.0780254i | ||||
\(909\) | −6.92705 | + | 21.3193i | −0.229756 | + | 0.707116i | ||||
\(910\) | −1.00000 | − | 0.726543i | −0.0331497 | − | 0.0240847i | ||||
\(911\) | −5.61803 | + | 17.2905i | −0.186134 | + | 0.572861i | −0.999966 | − | 0.00823898i | \(-0.997377\pi\) |
0.813832 | + | 0.581100i | \(0.197377\pi\) | |||||||
\(912\) | 10.8541 | + | 33.4055i | 0.359415 | + | 1.10617i | ||||
\(913\) | 24.1803 | − | 17.5680i | 0.800252 | − | 0.581417i | ||||
\(914\) | 1.52786 | + | 4.70228i | 0.0505373 | + | 0.155538i | ||||
\(915\) | −8.18034 | − | 25.1765i | −0.270434 | − | 0.832309i | ||||
\(916\) | −6.70820 | + | 4.87380i | −0.221645 | + | 0.161035i | ||||
\(917\) | 0.875388 | + | 2.69417i | 0.0289079 | + | 0.0889693i | ||||
\(918\) | −5.52786 | + | 17.0130i | −0.182447 | + | 0.561513i | ||||
\(919\) | 11.7082 | + | 8.50651i | 0.386218 | + | 0.280604i | 0.763904 | − | 0.645330i | \(-0.223280\pi\) |
−0.377686 | + | 0.925934i | \(0.623280\pi\) | |||||||
\(920\) | 3.94427 | − | 12.1392i | 0.130039 | − | 0.400218i | ||||
\(921\) | 75.1591 | − | 54.6062i | 2.47658 | − | 1.79934i | ||||
\(922\) | 44.9787 | − | 32.6789i | 1.48130 | − | 1.07622i | ||||
\(923\) | 24.0344 | + | 17.4620i | 0.791103 | + | 0.574770i | ||||
\(924\) | −0.944272 | −0.0310643 | ||||||||
\(925\) | −8.00000 | −0.263038 | ||||||||
\(926\) | −3.38197 | − | 2.45714i | −0.111138 | − | 0.0807467i | ||||
\(927\) | 14.3992 | + | 44.3161i | 0.472931 | + | 1.45553i | ||||
\(928\) | 2.88854 | − | 8.89002i | 0.0948211 | − | 0.291829i | ||||
\(929\) | 20.0000 | 0.656179 | 0.328089 | − | 0.944647i | \(-0.393595\pi\) | ||||
0.328089 | + | 0.944647i | \(0.393595\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15.5279 | 0.508905 | ||||||||
\(932\) | 3.42705 | − | 10.5474i | 0.112257 | − | 0.345491i | ||||
\(933\) | −29.1803 | − | 89.8079i | −0.955321 | − | 2.94018i | ||||
\(934\) | −6.16312 | − | 4.47777i | −0.201663 | − | 0.146517i | ||||
\(935\) | 1.52786 | 0.0499665 | ||||||||
\(936\) | −54.0689 | −1.76730 | ||||||||
\(937\) | −7.32624 | − | 5.32282i | −0.239338 | − | 0.173889i | 0.461650 | − | 0.887062i | \(-0.347257\pi\) |
−0.700988 | + | 0.713173i | \(0.747257\pi\) | |||||||
\(938\) | −2.47214 | + | 1.79611i | −0.0807181 | + | 0.0586451i | ||||
\(939\) | 43.8885 | − | 31.8869i | 1.43225 | − | 1.04059i | ||||
\(940\) | 0.472136 | − | 1.45309i | 0.0153994 | − | 0.0473944i | ||||
\(941\) | −30.7426 | − | 22.3358i | −1.00218 | − | 0.728128i | −0.0396268 | − | 0.999215i | \(-0.512617\pi\) |
−0.962555 | + | 0.271087i | \(0.912617\pi\) | |||||||
\(942\) | 33.7984 | − | 104.021i | 1.10121 | − | 3.38918i | ||||
\(943\) | −12.3475 | − | 38.0018i | −0.402091 | − | 1.23751i | ||||
\(944\) | 8.78115 | − | 6.37988i | 0.285802 | − | 0.207647i | ||||
\(945\) | 1.05573 | + | 3.24920i | 0.0343428 | + | 0.105696i | ||||
\(946\) | 1.23607 | + | 3.80423i | 0.0401880 | + | 0.123686i | ||||
\(947\) | −10.5623 | + | 7.67396i | −0.343229 | + | 0.249370i | −0.746023 | − | 0.665920i | \(-0.768039\pi\) |
0.402794 | + | 0.915291i | \(0.368039\pi\) | |||||||
\(948\) | 7.23607 | + | 22.2703i | 0.235017 | + | 0.723307i | ||||
\(949\) | −8.47214 | + | 26.0746i | −0.275017 | + | 0.846416i | ||||
\(950\) | −11.7082 | − | 8.50651i | −0.379864 | − | 0.275988i | ||||
\(951\) | 4.05573 | − | 12.4822i | 0.131516 | − | 0.404765i | ||||
\(952\) | −0.326238 | + | 0.237026i | −0.0105734 | + | 0.00768205i | ||||
\(953\) | 36.9787 | − | 26.8666i | 1.19786 | − | 0.870295i | 0.203786 | − | 0.979016i | \(-0.434675\pi\) |
0.994072 | + | 0.108721i | \(0.0346754\pi\) | |||||||
\(954\) | −102.430 | − | 74.4194i | −3.31628 | − | 2.40942i | ||||
\(955\) | −19.1803 | −0.620661 | ||||||||
\(956\) | 7.23607 | 0.234031 | ||||||||
\(957\) | −14.4721 | − | 10.5146i | −0.467818 | − | 0.339889i | ||||
\(958\) | 11.6459 | + | 35.8424i | 0.376262 | + | 1.15802i | ||||
\(959\) | −0.458980 | + | 1.41260i | −0.0148212 | + | 0.0456151i | ||||
\(960\) | 13.7082 | 0.442430 | ||||||||
\(961\) | 0 | 0 | ||||||||
\(962\) | 10.4721 | 0.337635 | ||||||||
\(963\) | 13.3090 | − | 40.9609i | 0.428877 | − | 1.31995i | ||||
\(964\) | −2.74265 | − | 8.44100i | −0.0883347 | − | 0.271866i | ||||
\(965\) | −2.80902 | − | 2.04087i | −0.0904255 | − | 0.0656979i | ||||
\(966\) | −7.05573 | −0.227014 | ||||||||
\(967\) | −60.3607 | −1.94107 | −0.970534 | − | 0.240963i | \(-0.922537\pi\) | ||||
−0.970534 | + | 0.240963i | \(0.922537\pi\) | |||||||
\(968\) | −12.6631 | − | 9.20029i | −0.407008 | − | 0.295709i | ||||
\(969\) | −4.47214 | + | 3.24920i | −0.143666 | + | 0.104379i | ||||
\(970\) | 20.8713 | − | 15.1639i | 0.670138 | − | 0.486884i | ||||
\(971\) | −8.65248 | + | 26.6296i | −0.277671 | + | 0.854584i | 0.710829 | + | 0.703365i | \(0.248320\pi\) |
−0.988500 | + | 0.151219i | \(0.951680\pi\) | |||||||
\(972\) | −17.7984 | − | 12.9313i | −0.570883 | − | 0.414771i | ||||
\(973\) | −0.978714 | + | 3.01217i | −0.0313761 | + | 0.0965658i | ||||
\(974\) | 9.61803 | + | 29.6013i | 0.308182 | + | 0.948486i | ||||
\(975\) | 33.8885 | − | 24.6215i | 1.08530 | − | 0.788518i | ||||
\(976\) | 12.2705 | + | 37.7647i | 0.392769 | + | 1.20882i | ||||
\(977\) | −14.6008 | − | 44.9367i | −0.467121 | − | 1.43765i | −0.856295 | − | 0.516487i | \(-0.827239\pi\) |
0.389173 | − | 0.921164i | \(-0.372761\pi\) | |||||||
\(978\) | −45.3607 | + | 32.9565i | −1.45047 | + | 1.05383i | ||||
\(979\) | 7.23607 | + | 22.2703i | 0.231266 | + | 0.711763i | ||||
\(980\) | −1.32624 | + | 4.08174i | −0.0423651 | + | 0.130386i | ||||
\(981\) | 84.2943 | + | 61.2434i | 2.69131 | + | 1.95535i | ||||
\(982\) | −2.18034 | + | 6.71040i | −0.0695774 | + | 0.214137i | ||||
\(983\) | 31.9787 | − | 23.2339i | 1.01996 | − | 0.741046i | 0.0536874 | − | 0.998558i | \(-0.482903\pi\) |
0.966275 | + | 0.257512i | \(0.0829026\pi\) | |||||||
\(984\) | 40.9787 | − | 29.7728i | 1.30635 | − | 0.949122i | ||||
\(985\) | 9.23607 | + | 6.71040i | 0.294286 | + | 0.213811i | ||||
\(986\) | 3.41641 | 0.108801 | ||||||||
\(987\) | 1.88854 | 0.0601130 | ||||||||
\(988\) | 3.61803 | + | 2.62866i | 0.115105 | + | 0.0836287i | ||||
\(989\) | 2.18034 | + | 6.71040i | 0.0693308 | + | 0.213378i | ||||
\(990\) | −7.47214 | + | 22.9969i | −0.237480 | + | 0.730889i | ||||
\(991\) | 16.5410 | 0.525443 | 0.262721 | − | 0.964872i | \(-0.415380\pi\) | ||||
0.262721 | + | 0.964872i | \(0.415380\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −6.47214 | −0.205387 | ||||||||
\(994\) | −1.08359 | + | 3.33495i | −0.0343695 | + | 0.105778i | ||||
\(995\) | 5.85410 | + | 18.0171i | 0.185588 | + | 0.571180i | ||||
\(996\) | −24.1803 | − | 17.5680i | −0.766183 | − | 0.556665i | ||||
\(997\) | −29.3607 | −0.929862 | −0.464931 | − | 0.885347i | \(-0.653921\pi\) | ||||
−0.464931 | + | 0.885347i | \(0.653921\pi\) | |||||||
\(998\) | 10.6525 | 0.337198 | ||||||||
\(999\) | −23.4164 | − | 17.0130i | −0.740862 | − | 0.538268i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))