Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,2,Mod(43,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.f (of order \(3\), 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: | \(1.00611506547\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Root | \(1.68614 + 0.396143i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.85 |
Dual form | 126.2.f.d.43.1 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.500000 | + | 0.866025i | 0.353553 | + | 0.612372i | ||||
\(3\) | −1.68614 | − | 0.396143i | −0.973494 | − | 0.228714i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −2.18614 | + | 3.78651i | −0.977672 | + | 1.69338i | −0.306851 | + | 0.951757i | \(0.599275\pi\) |
−0.670820 | + | 0.741620i | \(0.734058\pi\) | |||||||
\(6\) | −0.500000 | − | 1.65831i | −0.204124 | − | 0.677003i | ||||
\(7\) | −0.500000 | − | 0.866025i | −0.188982 | − | 0.327327i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | 2.68614 | + | 1.33591i | 0.895380 | + | 0.445302i | ||||
\(10\) | −4.37228 | −1.38264 | ||||||||
\(11\) | 0.686141 | + | 1.18843i | 0.206879 | + | 0.358325i | 0.950730 | − | 0.310021i | \(-0.100336\pi\) |
−0.743851 | + | 0.668346i | \(0.767003\pi\) | |||||||
\(12\) | 1.18614 | − | 1.26217i | 0.342409 | − | 0.364357i | ||||
\(13\) | −1.00000 | + | 1.73205i | −0.277350 | + | 0.480384i | −0.970725 | − | 0.240192i | \(-0.922790\pi\) |
0.693375 | + | 0.720577i | \(0.256123\pi\) | |||||||
\(14\) | 0.500000 | − | 0.866025i | 0.133631 | − | 0.231455i | ||||
\(15\) | 5.18614 | − | 5.51856i | 1.33906 | − | 1.42489i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 1.37228 | 0.332827 | 0.166414 | − | 0.986056i | \(-0.446781\pi\) | ||||
0.166414 | + | 0.986056i | \(0.446781\pi\) | |||||||
\(18\) | 0.186141 | + | 2.99422i | 0.0438738 | + | 0.705744i | ||||
\(19\) | 5.00000 | 1.14708 | 0.573539 | − | 0.819178i | \(-0.305570\pi\) | ||||
0.573539 | + | 0.819178i | \(0.305570\pi\) | |||||||
\(20\) | −2.18614 | − | 3.78651i | −0.488836 | − | 0.846689i | ||||
\(21\) | 0.500000 | + | 1.65831i | 0.109109 | + | 0.361873i | ||||
\(22\) | −0.686141 | + | 1.18843i | −0.146286 | + | 0.253374i | ||||
\(23\) | 0.813859 | − | 1.40965i | 0.169701 | − | 0.293931i | −0.768613 | − | 0.639713i | \(-0.779053\pi\) |
0.938315 | + | 0.345782i | \(0.112386\pi\) | |||||||
\(24\) | 1.68614 | + | 0.396143i | 0.344182 | + | 0.0808625i | ||||
\(25\) | −7.05842 | − | 12.2255i | −1.41168 | − | 2.44511i | ||||
\(26\) | −2.00000 | −0.392232 | ||||||||
\(27\) | −4.00000 | − | 3.31662i | −0.769800 | − | 0.638285i | ||||
\(28\) | 1.00000 | 0.188982 | ||||||||
\(29\) | 4.37228 | + | 7.57301i | 0.811912 | + | 1.40627i | 0.911524 | + | 0.411247i | \(0.134907\pi\) |
−0.0996117 | + | 0.995026i | \(0.531760\pi\) | |||||||
\(30\) | 7.37228 | + | 1.73205i | 1.34599 | + | 0.316228i | ||||
\(31\) | −1.00000 | + | 1.73205i | −0.179605 | + | 0.311086i | −0.941745 | − | 0.336327i | \(-0.890815\pi\) |
0.762140 | + | 0.647412i | \(0.224149\pi\) | |||||||
\(32\) | 0.500000 | − | 0.866025i | 0.0883883 | − | 0.153093i | ||||
\(33\) | −0.686141 | − | 2.27567i | −0.119442 | − | 0.396143i | ||||
\(34\) | 0.686141 | + | 1.18843i | 0.117672 | + | 0.203814i | ||||
\(35\) | 4.37228 | 0.739050 | ||||||||
\(36\) | −2.50000 | + | 1.65831i | −0.416667 | + | 0.276385i | ||||
\(37\) | 2.00000 | 0.328798 | 0.164399 | − | 0.986394i | \(-0.447432\pi\) | ||||
0.164399 | + | 0.986394i | \(0.447432\pi\) | |||||||
\(38\) | 2.50000 | + | 4.33013i | 0.405554 | + | 0.702439i | ||||
\(39\) | 2.37228 | − | 2.52434i | 0.379869 | − | 0.404218i | ||||
\(40\) | 2.18614 | − | 3.78651i | 0.345659 | − | 0.598699i | ||||
\(41\) | −2.31386 | + | 4.00772i | −0.361364 | + | 0.625901i | −0.988186 | − | 0.153262i | \(-0.951022\pi\) |
0.626821 | + | 0.779163i | \(0.284356\pi\) | |||||||
\(42\) | −1.18614 | + | 1.26217i | −0.183025 | + | 0.194757i | ||||
\(43\) | 4.05842 | + | 7.02939i | 0.618904 | + | 1.07197i | 0.989686 | + | 0.143253i | \(0.0457562\pi\) |
−0.370783 | + | 0.928720i | \(0.620910\pi\) | |||||||
\(44\) | −1.37228 | −0.206879 | ||||||||
\(45\) | −10.9307 | + | 7.25061i | −1.62945 | + | 1.08086i | ||||
\(46\) | 1.62772 | 0.239994 | ||||||||
\(47\) | 0 | 0 | 0.866025 | − | 0.500000i | \(-0.166667\pi\) | ||||
−0.866025 | + | 0.500000i | \(0.833333\pi\) | |||||||
\(48\) | 0.500000 | + | 1.65831i | 0.0721688 | + | 0.239357i | ||||
\(49\) | −0.500000 | + | 0.866025i | −0.0714286 | + | 0.123718i | ||||
\(50\) | 7.05842 | − | 12.2255i | 0.998212 | − | 1.72895i | ||||
\(51\) | −2.31386 | − | 0.543620i | −0.324005 | − | 0.0761221i | ||||
\(52\) | −1.00000 | − | 1.73205i | −0.138675 | − | 0.240192i | ||||
\(53\) | −8.74456 | −1.20116 | −0.600579 | − | 0.799565i | \(-0.705063\pi\) | ||||
−0.600579 | + | 0.799565i | \(0.705063\pi\) | |||||||
\(54\) | 0.872281 | − | 5.12241i | 0.118702 | − | 0.697072i | ||||
\(55\) | −6.00000 | −0.809040 | ||||||||
\(56\) | 0.500000 | + | 0.866025i | 0.0668153 | + | 0.115728i | ||||
\(57\) | −8.43070 | − | 1.98072i | −1.11667 | − | 0.262352i | ||||
\(58\) | −4.37228 | + | 7.57301i | −0.574109 | + | 0.994385i | ||||
\(59\) | 5.05842 | − | 8.76144i | 0.658550 | − | 1.14064i | −0.322441 | − | 0.946590i | \(-0.604503\pi\) |
0.980991 | − | 0.194053i | \(-0.0621634\pi\) | |||||||
\(60\) | 2.18614 | + | 7.25061i | 0.282230 | + | 0.936050i | ||||
\(61\) | −1.55842 | − | 2.69927i | −0.199535 | − | 0.345606i | 0.748842 | − | 0.662748i | \(-0.230610\pi\) |
−0.948378 | + | 0.317142i | \(0.897277\pi\) | |||||||
\(62\) | −2.00000 | −0.254000 | ||||||||
\(63\) | −0.186141 | − | 2.99422i | −0.0234515 | − | 0.377236i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −4.37228 | − | 7.57301i | −0.542315 | − | 0.939317i | ||||
\(66\) | 1.62772 | − | 1.73205i | 0.200358 | − | 0.213201i | ||||
\(67\) | 1.05842 | − | 1.83324i | 0.129307 | − | 0.223966i | −0.794101 | − | 0.607785i | \(-0.792058\pi\) |
0.923408 | + | 0.383819i | \(0.125391\pi\) | |||||||
\(68\) | −0.686141 | + | 1.18843i | −0.0832068 | + | 0.144118i | ||||
\(69\) | −1.93070 | + | 2.05446i | −0.232429 | + | 0.247327i | ||||
\(70\) | 2.18614 | + | 3.78651i | 0.261294 | + | 0.452574i | ||||
\(71\) | −7.11684 | −0.844614 | −0.422307 | − | 0.906453i | \(-0.638780\pi\) | ||||
−0.422307 | + | 0.906453i | \(0.638780\pi\) | |||||||
\(72\) | −2.68614 | − | 1.33591i | −0.316565 | − | 0.157438i | ||||
\(73\) | 12.1168 | 1.41817 | 0.709085 | − | 0.705123i | \(-0.249108\pi\) | ||||
0.709085 | + | 0.705123i | \(0.249108\pi\) | |||||||
\(74\) | 1.00000 | + | 1.73205i | 0.116248 | + | 0.201347i | ||||
\(75\) | 7.05842 | + | 23.4101i | 0.815036 | + | 2.70317i | ||||
\(76\) | −2.50000 | + | 4.33013i | −0.286770 | + | 0.496700i | ||||
\(77\) | 0.686141 | − | 1.18843i | 0.0781930 | − | 0.135434i | ||||
\(78\) | 3.37228 | + | 0.792287i | 0.381836 | + | 0.0897088i | ||||
\(79\) | 2.55842 | + | 4.43132i | 0.287845 | + | 0.498562i | 0.973295 | − | 0.229557i | \(-0.0737279\pi\) |
−0.685450 | + | 0.728120i | \(0.740395\pi\) | |||||||
\(80\) | 4.37228 | 0.488836 | ||||||||
\(81\) | 5.43070 | + | 7.17687i | 0.603411 | + | 0.797430i | ||||
\(82\) | −4.62772 | −0.511046 | ||||||||
\(83\) | −8.74456 | − | 15.1460i | −0.959840 | − | 1.66249i | −0.722881 | − | 0.690973i | \(-0.757182\pi\) |
−0.236960 | − | 0.971519i | \(-0.576151\pi\) | |||||||
\(84\) | −1.68614 | − | 0.396143i | −0.183973 | − | 0.0432228i | ||||
\(85\) | −3.00000 | + | 5.19615i | −0.325396 | + | 0.563602i | ||||
\(86\) | −4.05842 | + | 7.02939i | −0.437631 | + | 0.757999i | ||||
\(87\) | −4.37228 | − | 14.5012i | −0.468758 | − | 1.55469i | ||||
\(88\) | −0.686141 | − | 1.18843i | −0.0731428 | − | 0.126687i | ||||
\(89\) | 14.7446 | 1.56292 | 0.781460 | − | 0.623955i | \(-0.214475\pi\) | ||||
0.781460 | + | 0.623955i | \(0.214475\pi\) | |||||||
\(90\) | −11.7446 | − | 5.84096i | −1.23799 | − | 0.615692i | ||||
\(91\) | 2.00000 | 0.209657 | ||||||||
\(92\) | 0.813859 | + | 1.40965i | 0.0848507 | + | 0.146966i | ||||
\(93\) | 2.37228 | − | 2.52434i | 0.245994 | − | 0.261762i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −10.9307 | + | 18.9325i | −1.12147 | + | 1.94244i | ||||
\(96\) | −1.18614 | + | 1.26217i | −0.121060 | + | 0.128820i | ||||
\(97\) | 4.05842 | + | 7.02939i | 0.412070 | + | 0.713727i | 0.995116 | − | 0.0987127i | \(-0.0314725\pi\) |
−0.583046 | + | 0.812439i | \(0.698139\pi\) | |||||||
\(98\) | −1.00000 | −0.101015 | ||||||||
\(99\) | 0.255437 | + | 4.10891i | 0.0256724 | + | 0.412961i | ||||
\(100\) | 14.1168 | 1.41168 | ||||||||
\(101\) | −0.813859 | − | 1.40965i | −0.0809820 | − | 0.140265i | 0.822690 | − | 0.568490i | \(-0.192472\pi\) |
−0.903672 | + | 0.428225i | \(0.859139\pi\) | |||||||
\(102\) | −0.686141 | − | 2.27567i | −0.0679380 | − | 0.225325i | ||||
\(103\) | 5.00000 | − | 8.66025i | 0.492665 | − | 0.853320i | −0.507300 | − | 0.861770i | \(-0.669356\pi\) |
0.999964 | + | 0.00844953i | \(0.00268960\pi\) | |||||||
\(104\) | 1.00000 | − | 1.73205i | 0.0980581 | − | 0.169842i | ||||
\(105\) | −7.37228 | − | 1.73205i | −0.719461 | − | 0.169031i | ||||
\(106\) | −4.37228 | − | 7.57301i | −0.424674 | − | 0.735556i | ||||
\(107\) | −7.37228 | −0.712705 | −0.356353 | − | 0.934352i | \(-0.615980\pi\) | ||||
−0.356353 | + | 0.934352i | \(0.615980\pi\) | |||||||
\(108\) | 4.87228 | − | 1.80579i | 0.468835 | − | 0.173762i | ||||
\(109\) | 14.0000 | 1.34096 | 0.670478 | − | 0.741929i | \(-0.266089\pi\) | ||||
0.670478 | + | 0.741929i | \(0.266089\pi\) | |||||||
\(110\) | −3.00000 | − | 5.19615i | −0.286039 | − | 0.495434i | ||||
\(111\) | −3.37228 | − | 0.792287i | −0.320083 | − | 0.0752006i | ||||
\(112\) | −0.500000 | + | 0.866025i | −0.0472456 | + | 0.0818317i | ||||
\(113\) | 2.18614 | − | 3.78651i | 0.205655 | − | 0.356205i | −0.744686 | − | 0.667415i | \(-0.767401\pi\) |
0.950341 | + | 0.311210i | \(0.100734\pi\) | |||||||
\(114\) | −2.50000 | − | 8.29156i | −0.234146 | − | 0.776576i | ||||
\(115\) | 3.55842 | + | 6.16337i | 0.331825 | + | 0.574737i | ||||
\(116\) | −8.74456 | −0.811912 | ||||||||
\(117\) | −5.00000 | + | 3.31662i | −0.462250 | + | 0.306622i | ||||
\(118\) | 10.1168 | 0.931331 | ||||||||
\(119\) | −0.686141 | − | 1.18843i | −0.0628984 | − | 0.108943i | ||||
\(120\) | −5.18614 | + | 5.51856i | −0.473428 | + | 0.503773i | ||||
\(121\) | 4.55842 | − | 7.89542i | 0.414402 | − | 0.717765i | ||||
\(122\) | 1.55842 | − | 2.69927i | 0.141093 | − | 0.244380i | ||||
\(123\) | 5.48913 | − | 5.84096i | 0.494938 | − | 0.526662i | ||||
\(124\) | −1.00000 | − | 1.73205i | −0.0898027 | − | 0.155543i | ||||
\(125\) | 39.8614 | 3.56531 | ||||||||
\(126\) | 2.50000 | − | 1.65831i | 0.222718 | − | 0.147734i | ||||
\(127\) | 3.11684 | 0.276575 | 0.138288 | − | 0.990392i | \(-0.455840\pi\) | ||||
0.138288 | + | 0.990392i | \(0.455840\pi\) | |||||||
\(128\) | 0.500000 | + | 0.866025i | 0.0441942 | + | 0.0765466i | ||||
\(129\) | −4.05842 | − | 13.4603i | −0.357324 | − | 1.18511i | ||||
\(130\) | 4.37228 | − | 7.57301i | 0.383474 | − | 0.664197i | ||||
\(131\) | 0.813859 | − | 1.40965i | 0.0711072 | − | 0.123161i | −0.828280 | − | 0.560315i | \(-0.810680\pi\) |
0.899387 | + | 0.437154i | \(0.144013\pi\) | |||||||
\(132\) | 2.31386 | + | 0.543620i | 0.201396 | + | 0.0473161i | ||||
\(133\) | −2.50000 | − | 4.33013i | −0.216777 | − | 0.375470i | ||||
\(134\) | 2.11684 | 0.182867 | ||||||||
\(135\) | 21.3030 | − | 7.89542i | 1.83347 | − | 0.679529i | ||||
\(136\) | −1.37228 | −0.117672 | ||||||||
\(137\) | −5.31386 | − | 9.20387i | −0.453994 | − | 0.786340i | 0.544636 | − | 0.838672i | \(-0.316668\pi\) |
−0.998630 | + | 0.0523324i | \(0.983334\pi\) | |||||||
\(138\) | −2.74456 | − | 0.644810i | −0.233633 | − | 0.0548899i | ||||
\(139\) | −6.61684 | + | 11.4607i | −0.561233 | + | 0.972085i | 0.436156 | + | 0.899871i | \(0.356340\pi\) |
−0.997389 | + | 0.0722136i | \(0.976994\pi\) | |||||||
\(140\) | −2.18614 | + | 3.78651i | −0.184763 | + | 0.320018i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −3.55842 | − | 6.16337i | −0.298616 | − | 0.517218i | ||||
\(143\) | −2.74456 | −0.229512 | ||||||||
\(144\) | −0.186141 | − | 2.99422i | −0.0155117 | − | 0.249518i | ||||
\(145\) | −38.2337 | −3.17513 | ||||||||
\(146\) | 6.05842 | + | 10.4935i | 0.501399 | + | 0.868448i | ||||
\(147\) | 1.18614 | − | 1.26217i | 0.0978312 | − | 0.104102i | ||||
\(148\) | −1.00000 | + | 1.73205i | −0.0821995 | + | 0.142374i | ||||
\(149\) | −1.62772 | + | 2.81929i | −0.133348 | + | 0.230965i | −0.924965 | − | 0.380052i | \(-0.875906\pi\) |
0.791617 | + | 0.611017i | \(0.209239\pi\) | |||||||
\(150\) | −16.7446 | + | 17.8178i | −1.36719 | + | 1.45482i | ||||
\(151\) | −4.55842 | − | 7.89542i | −0.370959 | − | 0.642520i | 0.618754 | − | 0.785585i | \(-0.287638\pi\) |
−0.989713 | + | 0.143065i | \(0.954304\pi\) | |||||||
\(152\) | −5.00000 | −0.405554 | ||||||||
\(153\) | 3.68614 | + | 1.83324i | 0.298007 | + | 0.148209i | ||||
\(154\) | 1.37228 | 0.110582 | ||||||||
\(155\) | −4.37228 | − | 7.57301i | −0.351190 | − | 0.608279i | ||||
\(156\) | 1.00000 | + | 3.31662i | 0.0800641 | + | 0.265543i | ||||
\(157\) | −4.55842 | + | 7.89542i | −0.363802 | + | 0.630123i | −0.988583 | − | 0.150677i | \(-0.951855\pi\) |
0.624781 | + | 0.780800i | \(0.285188\pi\) | |||||||
\(158\) | −2.55842 | + | 4.43132i | −0.203537 | + | 0.352537i | ||||
\(159\) | 14.7446 | + | 3.46410i | 1.16932 | + | 0.274721i | ||||
\(160\) | 2.18614 | + | 3.78651i | 0.172830 | + | 0.299350i | ||||
\(161\) | −1.62772 | −0.128282 | ||||||||
\(162\) | −3.50000 | + | 8.29156i | −0.274986 | + | 0.651447i | ||||
\(163\) | −18.2337 | −1.42817 | −0.714086 | − | 0.700058i | \(-0.753158\pi\) | ||||
−0.714086 | + | 0.700058i | \(0.753158\pi\) | |||||||
\(164\) | −2.31386 | − | 4.00772i | −0.180682 | − | 0.312951i | ||||
\(165\) | 10.1168 | + | 2.37686i | 0.787595 | + | 0.185038i | ||||
\(166\) | 8.74456 | − | 15.1460i | 0.678710 | − | 1.17556i | ||||
\(167\) | 2.74456 | − | 4.75372i | 0.212381 | − | 0.367854i | −0.740078 | − | 0.672521i | \(-0.765212\pi\) |
0.952459 | + | 0.304666i | \(0.0985450\pi\) | |||||||
\(168\) | −0.500000 | − | 1.65831i | −0.0385758 | − | 0.127942i | ||||
\(169\) | 4.50000 | + | 7.79423i | 0.346154 | + | 0.599556i | ||||
\(170\) | −6.00000 | −0.460179 | ||||||||
\(171\) | 13.4307 | + | 6.67954i | 1.02707 | + | 0.510797i | ||||
\(172\) | −8.11684 | −0.618904 | ||||||||
\(173\) | 3.00000 | + | 5.19615i | 0.228086 | + | 0.395056i | 0.957241 | − | 0.289292i | \(-0.0934200\pi\) |
−0.729155 | + | 0.684349i | \(0.760087\pi\) | |||||||
\(174\) | 10.3723 | − | 11.0371i | 0.786321 | − | 0.836722i | ||||
\(175\) | −7.05842 | + | 12.2255i | −0.533567 | + | 0.924164i | ||||
\(176\) | 0.686141 | − | 1.18843i | 0.0517198 | − | 0.0895813i | ||||
\(177\) | −12.0000 | + | 12.7692i | −0.901975 | + | 0.959789i | ||||
\(178\) | 7.37228 | + | 12.7692i | 0.552576 | + | 0.957089i | ||||
\(179\) | 3.25544 | 0.243323 | 0.121661 | − | 0.992572i | \(-0.461178\pi\) | ||||
0.121661 | + | 0.992572i | \(0.461178\pi\) | |||||||
\(180\) | −0.813859 | − | 13.0916i | −0.0606615 | − | 0.975788i | ||||
\(181\) | 0.883156 | 0.0656445 | 0.0328222 | − | 0.999461i | \(-0.489550\pi\) | ||||
0.0328222 | + | 0.999461i | \(0.489550\pi\) | |||||||
\(182\) | 1.00000 | + | 1.73205i | 0.0741249 | + | 0.128388i | ||||
\(183\) | 1.55842 | + | 5.16870i | 0.115202 | + | 0.382081i | ||||
\(184\) | −0.813859 | + | 1.40965i | −0.0599985 | + | 0.103920i | ||||
\(185\) | −4.37228 | + | 7.57301i | −0.321457 | + | 0.556779i | ||||
\(186\) | 3.37228 | + | 0.792287i | 0.247268 | + | 0.0580933i | ||||
\(187\) | 0.941578 | + | 1.63086i | 0.0688550 | + | 0.119260i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −0.872281 | + | 5.12241i | −0.0634491 | + | 0.372601i | ||||
\(190\) | −21.8614 | −1.58599 | ||||||||
\(191\) | 9.55842 | + | 16.5557i | 0.691623 | + | 1.19793i | 0.971306 | + | 0.237834i | \(0.0764374\pi\) |
−0.279683 | + | 0.960092i | \(0.590229\pi\) | |||||||
\(192\) | −1.68614 | − | 0.396143i | −0.121687 | − | 0.0285892i | ||||
\(193\) | 3.50000 | − | 6.06218i | 0.251936 | − | 0.436365i | −0.712123 | − | 0.702055i | \(-0.752266\pi\) |
0.964059 | + | 0.265689i | \(0.0855996\pi\) | |||||||
\(194\) | −4.05842 | + | 7.02939i | −0.291378 | + | 0.504681i | ||||
\(195\) | 4.37228 | + | 14.5012i | 0.313106 | + | 1.03845i | ||||
\(196\) | −0.500000 | − | 0.866025i | −0.0357143 | − | 0.0618590i | ||||
\(197\) | −6.00000 | −0.427482 | −0.213741 | − | 0.976890i | \(-0.568565\pi\) | ||||
−0.213741 | + | 0.976890i | \(0.568565\pi\) | |||||||
\(198\) | −3.43070 | + | 2.27567i | −0.243809 | + | 0.161725i | ||||
\(199\) | −10.0000 | −0.708881 | −0.354441 | − | 0.935079i | \(-0.615329\pi\) | ||||
−0.354441 | + | 0.935079i | \(0.615329\pi\) | |||||||
\(200\) | 7.05842 | + | 12.2255i | 0.499106 | + | 0.864477i | ||||
\(201\) | −2.51087 | + | 2.67181i | −0.177103 | + | 0.188455i | ||||
\(202\) | 0.813859 | − | 1.40965i | 0.0572629 | − | 0.0991823i | ||||
\(203\) | 4.37228 | − | 7.57301i | 0.306874 | − | 0.531521i | ||||
\(204\) | 1.62772 | − | 1.73205i | 0.113963 | − | 0.121268i | ||||
\(205\) | −10.1168 | − | 17.5229i | −0.706591 | − | 1.22385i | ||||
\(206\) | 10.0000 | 0.696733 | ||||||||
\(207\) | 4.06930 | − | 2.69927i | 0.282836 | − | 0.187612i | ||||
\(208\) | 2.00000 | 0.138675 | ||||||||
\(209\) | 3.43070 | + | 5.94215i | 0.237307 | + | 0.411027i | ||||
\(210\) | −2.18614 | − | 7.25061i | −0.150858 | − | 0.500340i | ||||
\(211\) | 8.00000 | − | 13.8564i | 0.550743 | − | 0.953914i | −0.447478 | − | 0.894295i | \(-0.647678\pi\) |
0.998221 | − | 0.0596196i | \(-0.0189888\pi\) | |||||||
\(212\) | 4.37228 | − | 7.57301i | 0.300290 | − | 0.520117i | ||||
\(213\) | 12.0000 | + | 2.81929i | 0.822226 | + | 0.193175i | ||||
\(214\) | −3.68614 | − | 6.38458i | −0.251979 | − | 0.436441i | ||||
\(215\) | −35.4891 | −2.42034 | ||||||||
\(216\) | 4.00000 | + | 3.31662i | 0.272166 | + | 0.225668i | ||||
\(217\) | 2.00000 | 0.135769 | ||||||||
\(218\) | 7.00000 | + | 12.1244i | 0.474100 | + | 0.821165i | ||||
\(219\) | −20.4307 | − | 4.80001i | −1.38058 | − | 0.324355i | ||||
\(220\) | 3.00000 | − | 5.19615i | 0.202260 | − | 0.350325i | ||||
\(221\) | −1.37228 | + | 2.37686i | −0.0923096 | + | 0.159885i | ||||
\(222\) | −1.00000 | − | 3.31662i | −0.0671156 | − | 0.222597i | ||||
\(223\) | 2.00000 | + | 3.46410i | 0.133930 | + | 0.231973i | 0.925188 | − | 0.379509i | \(-0.123907\pi\) |
−0.791258 | + | 0.611482i | \(0.790574\pi\) | |||||||
\(224\) | −1.00000 | −0.0668153 | ||||||||
\(225\) | −2.62772 | − | 42.2689i | −0.175181 | − | 2.81793i | ||||
\(226\) | 4.37228 | 0.290840 | ||||||||
\(227\) | 6.12772 | + | 10.6135i | 0.406711 | + | 0.704444i | 0.994519 | − | 0.104556i | \(-0.0333423\pi\) |
−0.587808 | + | 0.809000i | \(0.700009\pi\) | |||||||
\(228\) | 5.93070 | − | 6.31084i | 0.392770 | − | 0.417946i | ||||
\(229\) | 1.44158 | − | 2.49689i | 0.0952622 | − | 0.164999i | −0.814456 | − | 0.580226i | \(-0.802964\pi\) |
0.909718 | + | 0.415227i | \(0.136298\pi\) | |||||||
\(230\) | −3.55842 | + | 6.16337i | −0.234635 | + | 0.406400i | ||||
\(231\) | −1.62772 | + | 1.73205i | −0.107096 | + | 0.113961i | ||||
\(232\) | −4.37228 | − | 7.57301i | −0.287054 | − | 0.497193i | ||||
\(233\) | −0.255437 | −0.0167343 | −0.00836713 | − | 0.999965i | \(-0.502663\pi\) | ||||
−0.00836713 | + | 0.999965i | \(0.502663\pi\) | |||||||
\(234\) | −5.37228 | − | 2.67181i | −0.351197 | − | 0.174662i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 5.05842 | + | 8.76144i | 0.329275 | + | 0.570321i | ||||
\(237\) | −2.55842 | − | 8.48533i | −0.166187 | − | 0.551181i | ||||
\(238\) | 0.686141 | − | 1.18843i | 0.0444759 | − | 0.0770345i | ||||
\(239\) | −4.93070 | + | 8.54023i | −0.318941 | + | 0.552421i | −0.980267 | − | 0.197677i | \(-0.936660\pi\) |
0.661327 | + | 0.750098i | \(0.269994\pi\) | |||||||
\(240\) | −7.37228 | − | 1.73205i | −0.475879 | − | 0.111803i | ||||
\(241\) | −9.05842 | − | 15.6896i | −0.583504 | − | 1.01066i | −0.995060 | − | 0.0992745i | \(-0.968348\pi\) |
0.411556 | − | 0.911385i | \(-0.364986\pi\) | |||||||
\(242\) | 9.11684 | 0.586053 | ||||||||
\(243\) | −6.31386 | − | 14.2525i | −0.405034 | − | 0.914302i | ||||
\(244\) | 3.11684 | 0.199535 | ||||||||
\(245\) | −2.18614 | − | 3.78651i | −0.139667 | − | 0.241911i | ||||
\(246\) | 7.80298 | + | 1.83324i | 0.497500 | + | 0.116883i | ||||
\(247\) | −5.00000 | + | 8.66025i | −0.318142 | + | 0.551039i | ||||
\(248\) | 1.00000 | − | 1.73205i | 0.0635001 | − | 0.109985i | ||||
\(249\) | 8.74456 | + | 29.0024i | 0.554164 | + | 1.83795i | ||||
\(250\) | 19.9307 | + | 34.5210i | 1.26053 | + | 2.18330i | ||||
\(251\) | −9.00000 | −0.568075 | −0.284037 | − | 0.958813i | \(-0.591674\pi\) | ||||
−0.284037 | + | 0.958813i | \(0.591674\pi\) | |||||||
\(252\) | 2.68614 | + | 1.33591i | 0.169211 | + | 0.0841543i | ||||
\(253\) | 2.23369 | 0.140431 | ||||||||
\(254\) | 1.55842 | + | 2.69927i | 0.0977841 | + | 0.169367i | ||||
\(255\) | 7.11684 | − | 7.57301i | 0.445674 | − | 0.474240i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 3.43070 | − | 5.94215i | 0.214001 | − | 0.370661i | −0.738962 | − | 0.673747i | \(-0.764684\pi\) |
0.952963 | + | 0.303086i | \(0.0980170\pi\) | |||||||
\(258\) | 9.62772 | − | 10.2448i | 0.599396 | − | 0.637815i | ||||
\(259\) | −1.00000 | − | 1.73205i | −0.0621370 | − | 0.107624i | ||||
\(260\) | 8.74456 | 0.542315 | ||||||||
\(261\) | 1.62772 | + | 26.1831i | 0.100753 | + | 1.62070i | ||||
\(262\) | 1.62772 | 0.100561 | ||||||||
\(263\) | −3.81386 | − | 6.60580i | −0.235173 | − | 0.407331i | 0.724150 | − | 0.689642i | \(-0.242232\pi\) |
−0.959323 | + | 0.282311i | \(0.908899\pi\) | |||||||
\(264\) | 0.686141 | + | 2.27567i | 0.0422290 | + | 0.140058i | ||||
\(265\) | 19.1168 | − | 33.1113i | 1.17434 | − | 2.03401i | ||||
\(266\) | 2.50000 | − | 4.33013i | 0.153285 | − | 0.265497i | ||||
\(267\) | −24.8614 | − | 5.84096i | −1.52149 | − | 0.357461i | ||||
\(268\) | 1.05842 | + | 1.83324i | 0.0646534 | + | 0.111983i | ||||
\(269\) | −1.62772 | −0.0992438 | −0.0496219 | − | 0.998768i | \(-0.515802\pi\) | ||||
−0.0496219 | + | 0.998768i | \(0.515802\pi\) | |||||||
\(270\) | 17.4891 | + | 14.5012i | 1.06435 | + | 0.882516i | ||||
\(271\) | 16.2337 | 0.986126 | 0.493063 | − | 0.869994i | \(-0.335877\pi\) | ||||
0.493063 | + | 0.869994i | \(0.335877\pi\) | |||||||
\(272\) | −0.686141 | − | 1.18843i | −0.0416034 | − | 0.0720592i | ||||
\(273\) | −3.37228 | − | 0.792287i | −0.204100 | − | 0.0479514i | ||||
\(274\) | 5.31386 | − | 9.20387i | 0.321022 | − | 0.556026i | ||||
\(275\) | 9.68614 | − | 16.7769i | 0.584096 | − | 1.01168i | ||||
\(276\) | −0.813859 | − | 2.69927i | −0.0489886 | − | 0.162477i | ||||
\(277\) | 6.11684 | + | 10.5947i | 0.367526 | + | 0.636573i | 0.989178 | − | 0.146720i | \(-0.0468717\pi\) |
−0.621652 | + | 0.783293i | \(0.713538\pi\) | |||||||
\(278\) | −13.2337 | −0.793704 | ||||||||
\(279\) | −5.00000 | + | 3.31662i | −0.299342 | + | 0.198561i | ||||
\(280\) | −4.37228 | −0.261294 | ||||||||
\(281\) | −8.18614 | − | 14.1788i | −0.488344 | − | 0.845837i | 0.511566 | − | 0.859244i | \(-0.329066\pi\) |
−0.999910 | + | 0.0134071i | \(0.995732\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −13.5584 | + | 23.4839i | −0.805965 | + | 1.39597i | 0.109673 | + | 0.993968i | \(0.465019\pi\) |
−0.915638 | + | 0.402004i | \(0.868314\pi\) | |||||||
\(284\) | 3.55842 | − | 6.16337i | 0.211153 | − | 0.365729i | ||||
\(285\) | 25.9307 | − | 27.5928i | 1.53600 | − | 1.63446i | ||||
\(286\) | −1.37228 | − | 2.37686i | −0.0811447 | − | 0.140547i | ||||
\(287\) | 4.62772 | 0.273166 | ||||||||
\(288\) | 2.50000 | − | 1.65831i | 0.147314 | − | 0.0977170i | ||||
\(289\) | −15.1168 | −0.889226 | ||||||||
\(290\) | −19.1168 | − | 33.1113i | −1.12258 | − | 1.94437i | ||||
\(291\) | −4.05842 | − | 13.4603i | −0.237909 | − | 0.789055i | ||||
\(292\) | −6.05842 | + | 10.4935i | −0.354542 | + | 0.614085i | ||||
\(293\) | 5.18614 | − | 8.98266i | 0.302978 | − | 0.524773i | −0.673831 | − | 0.738885i | \(-0.735353\pi\) |
0.976809 | + | 0.214113i | \(0.0686859\pi\) | |||||||
\(294\) | 1.68614 | + | 0.396143i | 0.0983377 | + | 0.0231036i | ||||
\(295\) | 22.1168 | + | 38.3075i | 1.28769 | + | 2.23035i | ||||
\(296\) | −2.00000 | −0.116248 | ||||||||
\(297\) | 1.19702 | − | 7.02939i | 0.0694579 | − | 0.407887i | ||||
\(298\) | −3.25544 | −0.188582 | ||||||||
\(299\) | 1.62772 | + | 2.81929i | 0.0941334 | + | 0.163044i | ||||
\(300\) | −23.8030 | − | 5.59230i | −1.37427 | − | 0.322871i | ||||
\(301\) | 4.05842 | − | 7.02939i | 0.233924 | − | 0.405167i | ||||
\(302\) | 4.55842 | − | 7.89542i | 0.262308 | − | 0.454330i | ||||
\(303\) | 0.813859 | + | 2.69927i | 0.0467550 | + | 0.155069i | ||||
\(304\) | −2.50000 | − | 4.33013i | −0.143385 | − | 0.248350i | ||||
\(305\) | 13.6277 | 0.780321 | ||||||||
\(306\) | 0.255437 | + | 4.10891i | 0.0146024 | + | 0.234891i | ||||
\(307\) | −13.0000 | −0.741949 | −0.370975 | − | 0.928643i | \(-0.620976\pi\) | ||||
−0.370975 | + | 0.928643i | \(0.620976\pi\) | |||||||
\(308\) | 0.686141 | + | 1.18843i | 0.0390965 | + | 0.0677171i | ||||
\(309\) | −11.8614 | + | 12.6217i | −0.674772 | + | 0.718023i | ||||
\(310\) | 4.37228 | − | 7.57301i | 0.248329 | − | 0.430118i | ||||
\(311\) | −4.11684 | + | 7.13058i | −0.233445 | + | 0.404338i | −0.958820 | − | 0.284016i | \(-0.908333\pi\) |
0.725375 | + | 0.688354i | \(0.241666\pi\) | |||||||
\(312\) | −2.37228 | + | 2.52434i | −0.134304 | + | 0.142912i | ||||
\(313\) | 10.0584 | + | 17.4217i | 0.568536 | + | 0.984733i | 0.996711 | + | 0.0810370i | \(0.0258232\pi\) |
−0.428175 | + | 0.903696i | \(0.640843\pi\) | |||||||
\(314\) | −9.11684 | −0.514493 | ||||||||
\(315\) | 11.7446 | + | 5.84096i | 0.661731 | + | 0.329101i | ||||
\(316\) | −5.11684 | −0.287845 | ||||||||
\(317\) | 3.00000 | + | 5.19615i | 0.168497 | + | 0.291845i | 0.937892 | − | 0.346929i | \(-0.112775\pi\) |
−0.769395 | + | 0.638774i | \(0.779442\pi\) | |||||||
\(318\) | 4.37228 | + | 14.5012i | 0.245185 | + | 0.813188i | ||||
\(319\) | −6.00000 | + | 10.3923i | −0.335936 | + | 0.581857i | ||||
\(320\) | −2.18614 | + | 3.78651i | −0.122209 | + | 0.211672i | ||||
\(321\) | 12.4307 | + | 2.92048i | 0.693814 | + | 0.163005i | ||||
\(322\) | −0.813859 | − | 1.40965i | −0.0453546 | − | 0.0785565i | ||||
\(323\) | 6.86141 | 0.381779 | ||||||||
\(324\) | −8.93070 | + | 1.11469i | −0.496150 | + | 0.0619273i | ||||
\(325\) | 28.2337 | 1.56612 | ||||||||
\(326\) | −9.11684 | − | 15.7908i | −0.504935 | − | 0.874574i | ||||
\(327\) | −23.6060 | − | 5.54601i | −1.30541 | − | 0.306695i | ||||
\(328\) | 2.31386 | − | 4.00772i | 0.127762 | − | 0.221289i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 3.00000 | + | 9.94987i | 0.165145 | + | 0.547723i | ||||
\(331\) | −11.1168 | − | 19.2549i | −0.611037 | − | 1.05835i | −0.991066 | − | 0.133373i | \(-0.957419\pi\) |
0.380029 | − | 0.924975i | \(-0.375914\pi\) | |||||||
\(332\) | 17.4891 | 0.959840 | ||||||||
\(333\) | 5.37228 | + | 2.67181i | 0.294399 | + | 0.146415i | ||||
\(334\) | 5.48913 | 0.300352 | ||||||||
\(335\) | 4.62772 | + | 8.01544i | 0.252839 | + | 0.437930i | ||||
\(336\) | 1.18614 | − | 1.26217i | 0.0647093 | − | 0.0688570i | ||||
\(337\) | 4.05842 | − | 7.02939i | 0.221076 | − | 0.382915i | −0.734059 | − | 0.679086i | \(-0.762376\pi\) |
0.955135 | + | 0.296171i | \(0.0957097\pi\) | |||||||
\(338\) | −4.50000 | + | 7.79423i | −0.244768 | + | 0.423950i | ||||
\(339\) | −5.18614 | + | 5.51856i | −0.281672 | + | 0.299727i | ||||
\(340\) | −3.00000 | − | 5.19615i | −0.162698 | − | 0.281801i | ||||
\(341\) | −2.74456 | −0.148626 | ||||||||
\(342\) | 0.930703 | + | 14.9711i | 0.0503267 | + | 0.809544i | ||||
\(343\) | 1.00000 | 0.0539949 | ||||||||
\(344\) | −4.05842 | − | 7.02939i | −0.218815 | − | 0.378999i | ||||
\(345\) | −3.55842 | − | 11.8020i | −0.191579 | − | 0.635396i | ||||
\(346\) | −3.00000 | + | 5.19615i | −0.161281 | + | 0.279347i | ||||
\(347\) | 5.05842 | − | 8.76144i | 0.271550 | − | 0.470339i | −0.697709 | − | 0.716382i | \(-0.745797\pi\) |
0.969259 | + | 0.246043i | \(0.0791303\pi\) | |||||||
\(348\) | 14.7446 | + | 3.46410i | 0.790392 | + | 0.185695i | ||||
\(349\) | 11.0000 | + | 19.0526i | 0.588817 | + | 1.01986i | 0.994388 | + | 0.105797i | \(0.0337393\pi\) |
−0.405571 | + | 0.914063i | \(0.632927\pi\) | |||||||
\(350\) | −14.1168 | −0.754577 | ||||||||
\(351\) | 9.74456 | − | 3.61158i | 0.520126 | − | 0.192772i | ||||
\(352\) | 1.37228 | 0.0731428 | ||||||||
\(353\) | 6.68614 | + | 11.5807i | 0.355867 | + | 0.616380i | 0.987266 | − | 0.159078i | \(-0.0508522\pi\) |
−0.631399 | + | 0.775458i | \(0.717519\pi\) | |||||||
\(354\) | −17.0584 | − | 4.00772i | −0.906645 | − | 0.213008i | ||||
\(355\) | 15.5584 | − | 26.9480i | 0.825755 | − | 1.43025i | ||||
\(356\) | −7.37228 | + | 12.7692i | −0.390730 | + | 0.676764i | ||||
\(357\) | 0.686141 | + | 2.27567i | 0.0363144 | + | 0.120441i | ||||
\(358\) | 1.62772 | + | 2.81929i | 0.0860276 | + | 0.149004i | ||||
\(359\) | 21.8614 | 1.15380 | 0.576900 | − | 0.816814i | \(-0.304262\pi\) | ||||
0.576900 | + | 0.816814i | \(0.304262\pi\) | |||||||
\(360\) | 10.9307 | − | 7.25061i | 0.576099 | − | 0.382141i | ||||
\(361\) | 6.00000 | 0.315789 | ||||||||
\(362\) | 0.441578 | + | 0.764836i | 0.0232088 | + | 0.0401989i | ||||
\(363\) | −10.8139 | + | 11.5070i | −0.567580 | + | 0.603961i | ||||
\(364\) | −1.00000 | + | 1.73205i | −0.0524142 | + | 0.0907841i | ||||
\(365\) | −26.4891 | + | 45.8805i | −1.38650 | + | 2.40150i | ||||
\(366\) | −3.69702 | + | 3.93398i | −0.193246 | + | 0.205633i | ||||
\(367\) | 6.11684 | + | 10.5947i | 0.319297 | + | 0.553038i | 0.980341 | − | 0.197308i | \(-0.0632200\pi\) |
−0.661045 | + | 0.750346i | \(0.729887\pi\) | |||||||
\(368\) | −1.62772 | −0.0848507 | ||||||||
\(369\) | −11.5693 | + | 7.67420i | −0.602274 | + | 0.399503i | ||||
\(370\) | −8.74456 | −0.454608 | ||||||||
\(371\) | 4.37228 | + | 7.57301i | 0.226998 | + | 0.393171i | ||||
\(372\) | 1.00000 | + | 3.31662i | 0.0518476 | + | 0.171959i | ||||
\(373\) | 5.00000 | − | 8.66025i | 0.258890 | − | 0.448411i | −0.707055 | − | 0.707159i | \(-0.749977\pi\) |
0.965945 | + | 0.258748i | \(0.0833099\pi\) | |||||||
\(374\) | −0.941578 | + | 1.63086i | −0.0486878 | + | 0.0843298i | ||||
\(375\) | −67.2119 | − | 15.7908i | −3.47081 | − | 0.815435i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −17.4891 | −0.900736 | ||||||||
\(378\) | −4.87228 | + | 1.80579i | −0.250603 | + | 0.0928798i | ||||
\(379\) | −8.11684 | −0.416934 | −0.208467 | − | 0.978029i | \(-0.566847\pi\) | ||||
−0.208467 | + | 0.978029i | \(0.566847\pi\) | |||||||
\(380\) | −10.9307 | − | 18.9325i | −0.560733 | − | 0.971218i | ||||
\(381\) | −5.25544 | − | 1.23472i | −0.269244 | − | 0.0632565i | ||||
\(382\) | −9.55842 | + | 16.5557i | −0.489051 | + | 0.847062i | ||||
\(383\) | 16.3723 | − | 28.3576i | 0.836584 | − | 1.44901i | −0.0561493 | − | 0.998422i | \(-0.517882\pi\) |
0.892734 | − | 0.450584i | \(-0.148784\pi\) | |||||||
\(384\) | −0.500000 | − | 1.65831i | −0.0255155 | − | 0.0846254i | ||||
\(385\) | 3.00000 | + | 5.19615i | 0.152894 | + | 0.264820i | ||||
\(386\) | 7.00000 | 0.356291 | ||||||||
\(387\) | 1.51087 | + | 24.3036i | 0.0768021 | + | 1.23542i | ||||
\(388\) | −8.11684 | −0.412070 | ||||||||
\(389\) | −5.48913 | − | 9.50744i | −0.278310 | − | 0.482047i | 0.692655 | − | 0.721269i | \(-0.256441\pi\) |
−0.970965 | + | 0.239222i | \(0.923107\pi\) | |||||||
\(390\) | −10.3723 | + | 11.0371i | −0.525221 | + | 0.558886i | ||||
\(391\) | 1.11684 | − | 1.93443i | 0.0564812 | − | 0.0978284i | ||||
\(392\) | 0.500000 | − | 0.866025i | 0.0252538 | − | 0.0437409i | ||||
\(393\) | −1.93070 | + | 2.05446i | −0.0973911 | + | 0.103634i | ||||
\(394\) | −3.00000 | − | 5.19615i | −0.151138 | − | 0.261778i | ||||
\(395\) | −22.3723 | −1.12567 | ||||||||
\(396\) | −3.68614 | − | 1.83324i | −0.185236 | − | 0.0921238i | ||||
\(397\) | −22.0000 | −1.10415 | −0.552074 | − | 0.833795i | \(-0.686163\pi\) | ||||
−0.552074 | + | 0.833795i | \(0.686163\pi\) | |||||||
\(398\) | −5.00000 | − | 8.66025i | −0.250627 | − | 0.434099i | ||||
\(399\) | 2.50000 | + | 8.29156i | 0.125157 | + | 0.415097i | ||||
\(400\) | −7.05842 | + | 12.2255i | −0.352921 | + | 0.611277i | ||||
\(401\) | 5.87228 | − | 10.1711i | 0.293248 | − | 0.507920i | −0.681328 | − | 0.731978i | \(-0.738597\pi\) |
0.974576 | + | 0.224058i | \(0.0719306\pi\) | |||||||
\(402\) | −3.56930 | − | 0.838574i | −0.178020 | − | 0.0418243i | ||||
\(403\) | −2.00000 | − | 3.46410i | −0.0996271 | − | 0.172559i | ||||
\(404\) | 1.62772 | 0.0809820 | ||||||||
\(405\) | −39.0475 | + | 4.87375i | −1.94029 | + | 0.242178i | ||||
\(406\) | 8.74456 | 0.433985 | ||||||||
\(407\) | 1.37228 | + | 2.37686i | 0.0680215 | + | 0.117817i | ||||
\(408\) | 2.31386 | + | 0.543620i | 0.114553 | + | 0.0269132i | ||||
\(409\) | 11.1753 | − | 19.3561i | 0.552581 | − | 0.957099i | −0.445506 | − | 0.895279i | \(-0.646976\pi\) |
0.998087 | − | 0.0618200i | \(-0.0196905\pi\) | |||||||
\(410\) | 10.1168 | − | 17.5229i | 0.499635 | − | 0.865394i | ||||
\(411\) | 5.31386 | + | 17.6241i | 0.262113 | + | 0.869332i | ||||
\(412\) | 5.00000 | + | 8.66025i | 0.246332 | + | 0.426660i | ||||
\(413\) | −10.1168 | −0.497817 | ||||||||
\(414\) | 4.37228 | + | 2.17448i | 0.214886 | + | 0.106870i | ||||
\(415\) | 76.4674 | 3.75364 | ||||||||
\(416\) | 1.00000 | + | 1.73205i | 0.0490290 | + | 0.0849208i | ||||
\(417\) | 15.6970 | − | 16.7031i | 0.768686 | − | 0.817957i | ||||
\(418\) | −3.43070 | + | 5.94215i | −0.167801 | + | 0.290640i | ||||
\(419\) | 6.30298 | − | 10.9171i | 0.307921 | − | 0.533335i | −0.669986 | − | 0.742373i | \(-0.733700\pi\) |
0.977907 | + | 0.209039i | \(0.0670334\pi\) | |||||||
\(420\) | 5.18614 | − | 5.51856i | 0.253058 | − | 0.269278i | ||||
\(421\) | −17.1168 | − | 29.6472i | −0.834224 | − | 1.44492i | −0.894661 | − | 0.446746i | \(-0.852583\pi\) |
0.0604368 | − | 0.998172i | \(-0.480751\pi\) | |||||||
\(422\) | 16.0000 | 0.778868 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 8.74456 | 0.424674 | ||||||||
\(425\) | −9.68614 | − | 16.7769i | −0.469847 | − | 0.813799i | ||||
\(426\) | 3.55842 | + | 11.8020i | 0.172406 | + | 0.571806i | ||||
\(427\) | −1.55842 | + | 2.69927i | −0.0754173 | + | 0.130627i | ||||
\(428\) | 3.68614 | − | 6.38458i | 0.178176 | − | 0.308610i | ||||
\(429\) | 4.62772 | + | 1.08724i | 0.223428 | + | 0.0524925i | ||||
\(430\) | −17.7446 | − | 30.7345i | −0.855719 | − | 1.48215i | ||||
\(431\) | −6.51087 | −0.313618 | −0.156809 | − | 0.987629i | \(-0.550121\pi\) | ||||
−0.156809 | + | 0.987629i | \(0.550121\pi\) | |||||||
\(432\) | −0.872281 | + | 5.12241i | −0.0419677 | + | 0.246452i | ||||
\(433\) | −20.1168 | −0.966754 | −0.483377 | − | 0.875412i | \(-0.660590\pi\) | ||||
−0.483377 | + | 0.875412i | \(0.660590\pi\) | |||||||
\(434\) | 1.00000 | + | 1.73205i | 0.0480015 | + | 0.0831411i | ||||
\(435\) | 64.4674 | + | 15.1460i | 3.09097 | + | 0.726196i | ||||
\(436\) | −7.00000 | + | 12.1244i | −0.335239 | + | 0.580651i | ||||
\(437\) | 4.06930 | − | 7.04823i | 0.194661 | − | 0.337162i | ||||
\(438\) | −6.05842 | − | 20.0935i | −0.289483 | − | 0.960105i | ||||
\(439\) | −4.00000 | − | 6.92820i | −0.190910 | − | 0.330665i | 0.754642 | − | 0.656136i | \(-0.227810\pi\) |
−0.945552 | + | 0.325471i | \(0.894477\pi\) | |||||||
\(440\) | 6.00000 | 0.286039 | ||||||||
\(441\) | −2.50000 | + | 1.65831i | −0.119048 | + | 0.0789673i | ||||
\(442\) | −2.74456 | −0.130546 | ||||||||
\(443\) | 20.0584 | + | 34.7422i | 0.953004 | + | 1.65065i | 0.738870 | + | 0.673848i | \(0.235360\pi\) |
0.214134 | + | 0.976804i | \(0.431307\pi\) | |||||||
\(444\) | 2.37228 | − | 2.52434i | 0.112583 | − | 0.119800i | ||||
\(445\) | −32.2337 | + | 55.8304i | −1.52802 | + | 2.64661i | ||||
\(446\) | −2.00000 | + | 3.46410i | −0.0947027 | + | 0.164030i | ||||
\(447\) | 3.86141 | − | 4.10891i | 0.182638 | − | 0.194345i | ||||
\(448\) | −0.500000 | − | 0.866025i | −0.0236228 | − | 0.0409159i | ||||
\(449\) | 33.0000 | 1.55737 | 0.778683 | − | 0.627417i | \(-0.215888\pi\) | ||||
0.778683 | + | 0.627417i | \(0.215888\pi\) | |||||||
\(450\) | 35.2921 | − | 23.4101i | 1.66369 | − | 1.10356i | ||||
\(451\) | −6.35053 | −0.299035 | ||||||||
\(452\) | 2.18614 | + | 3.78651i | 0.102827 | + | 0.178102i | ||||
\(453\) | 4.55842 | + | 15.1186i | 0.214173 | + | 0.710333i | ||||
\(454\) | −6.12772 | + | 10.6135i | −0.287588 | + | 0.498117i | ||||
\(455\) | −4.37228 | + | 7.57301i | −0.204976 | + | 0.355028i | ||||
\(456\) | 8.43070 | + | 1.98072i | 0.394804 | + | 0.0927556i | ||||
\(457\) | 17.7337 | + | 30.7156i | 0.829547 | + | 1.43682i | 0.898394 | + | 0.439190i | \(0.144735\pi\) |
−0.0688472 | + | 0.997627i | \(0.521932\pi\) | |||||||
\(458\) | 2.88316 | 0.134721 | ||||||||
\(459\) | −5.48913 | − | 4.55134i | −0.256210 | − | 0.212438i | ||||
\(460\) | −7.11684 | −0.331825 | ||||||||
\(461\) | −1.06930 | − | 1.85208i | −0.0498021 | − | 0.0862598i | 0.840050 | − | 0.542509i | \(-0.182526\pi\) |
−0.889852 | + | 0.456250i | \(0.849192\pi\) | |||||||
\(462\) | −2.31386 | − | 0.543620i | −0.107650 | − | 0.0252915i | ||||
\(463\) | 11.5584 | − | 20.0198i | 0.537165 | − | 0.930398i | −0.461890 | − | 0.886937i | \(-0.652828\pi\) |
0.999055 | − | 0.0434604i | \(-0.0138382\pi\) | |||||||
\(464\) | 4.37228 | − | 7.57301i | 0.202978 | − | 0.351568i | ||||
\(465\) | 4.37228 | + | 14.5012i | 0.202760 | + | 0.672478i | ||||
\(466\) | −0.127719 | − | 0.221215i | −0.00591645 | − | 0.0102476i | ||||
\(467\) | 33.0951 | 1.53146 | 0.765729 | − | 0.643163i | \(-0.222378\pi\) | ||||
0.765729 | + | 0.643163i | \(0.222378\pi\) | |||||||
\(468\) | −0.372281 | − | 5.98844i | −0.0172087 | − | 0.276816i | ||||
\(469\) | −2.11684 | −0.0977468 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 10.8139 | − | 11.5070i | 0.498276 | − | 0.530214i | ||||
\(472\) | −5.05842 | + | 8.76144i | −0.232833 | + | 0.403278i | ||||
\(473\) | −5.56930 | + | 9.64630i | −0.256077 | + | 0.443538i | ||||
\(474\) | 6.06930 | − | 6.45832i | 0.278772 | − | 0.296641i | ||||
\(475\) | −35.2921 | − | 61.1277i | −1.61931 | − | 2.80473i | ||||
\(476\) | 1.37228 | 0.0628984 | ||||||||
\(477\) | −23.4891 | − | 11.6819i | −1.07549 | − | 0.534879i | ||||
\(478\) | −9.86141 | −0.451050 | ||||||||
\(479\) | −16.3723 | − | 28.3576i | −0.748069 | − | 1.29569i | −0.948747 | − | 0.316036i | \(-0.897648\pi\) |
0.200679 | − | 0.979657i | \(-0.435685\pi\) | |||||||
\(480\) | −2.18614 | − | 7.25061i | −0.0997832 | − | 0.330943i | ||||
\(481\) | −2.00000 | + | 3.46410i | −0.0911922 | + | 0.157949i | ||||
\(482\) | 9.05842 | − | 15.6896i | 0.412600 | − | 0.714644i | ||||
\(483\) | 2.74456 | + | 0.644810i | 0.124882 | + | 0.0293399i | ||||
\(484\) | 4.55842 | + | 7.89542i | 0.207201 | + | 0.358883i | ||||
\(485\) | −35.4891 | −1.61148 | ||||||||
\(486\) | 9.18614 | − | 12.5942i | 0.416692 | − | 0.571286i | ||||
\(487\) | 35.3505 | 1.60189 | 0.800943 | − | 0.598741i | \(-0.204332\pi\) | ||||
0.800943 | + | 0.598741i | \(0.204332\pi\) | |||||||
\(488\) | 1.55842 | + | 2.69927i | 0.0705464 | + | 0.122190i | ||||
\(489\) | 30.7446 | + | 7.22316i | 1.39032 | + | 0.326642i | ||||
\(490\) | 2.18614 | − | 3.78651i | 0.0987598 | − | 0.171057i | ||||
\(491\) | 12.6861 | − | 21.9730i | 0.572518 | − | 0.991629i | −0.423789 | − | 0.905761i | \(-0.639300\pi\) |
0.996306 | − | 0.0858685i | \(-0.0273665\pi\) | |||||||
\(492\) | 2.31386 | + | 7.67420i | 0.104317 | + | 0.345980i | ||||
\(493\) | 6.00000 | + | 10.3923i | 0.270226 | + | 0.468046i | ||||
\(494\) | −10.0000 | −0.449921 | ||||||||
\(495\) | −16.1168 | − | 8.01544i | −0.724398 | − | 0.360267i | ||||
\(496\) | 2.00000 | 0.0898027 | ||||||||
\(497\) | 3.55842 | + | 6.16337i | 0.159617 | + | 0.276465i | ||||
\(498\) | −20.7446 | + | 22.0742i | −0.929586 | + | 0.989170i | ||||
\(499\) | −9.05842 | + | 15.6896i | −0.405511 | + | 0.702365i | −0.994381 | − | 0.105863i | \(-0.966240\pi\) |
0.588870 | + | 0.808228i | \(0.299573\pi\) | |||||||
\(500\) | −19.9307 | + | 34.5210i | −0.891328 | + | 1.54383i | ||||
\(501\) | −6.51087 | + | 6.92820i | −0.290884 | + | 0.309529i | ||||
\(502\) | −4.50000 | − | 7.79423i | −0.200845 | − | 0.347873i | ||||
\(503\) | −32.2337 | −1.43723 | −0.718615 | − | 0.695409i | \(-0.755223\pi\) | ||||
−0.718615 | + | 0.695409i | \(0.755223\pi\) | |||||||
\(504\) | 0.186141 | + | 2.99422i | 0.00829136 | + | 0.133373i | ||||
\(505\) | 7.11684 | 0.316695 | ||||||||
\(506\) | 1.11684 | + | 1.93443i | 0.0496498 | + | 0.0859959i | ||||
\(507\) | −4.50000 | − | 14.9248i | −0.199852 | − | 0.662834i | ||||
\(508\) | −1.55842 | + | 2.69927i | −0.0691438 | + | 0.119761i | ||||
\(509\) | 14.4891 | − | 25.0959i | 0.642219 | − | 1.11236i | −0.342717 | − | 0.939439i | \(-0.611347\pi\) |
0.984936 | − | 0.172918i | \(-0.0553194\pi\) | |||||||
\(510\) | 10.1168 | + | 2.37686i | 0.447981 | + | 0.105249i | ||||
\(511\) | −6.05842 | − | 10.4935i | −0.268009 | − | 0.464205i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −20.0000 | − | 16.5831i | −0.883022 | − | 0.732163i | ||||
\(514\) | 6.86141 | 0.302644 | ||||||||
\(515\) | 21.8614 | + | 37.8651i | 0.963329 | + | 1.66853i | ||||
\(516\) | 13.6861 | + | 3.21543i | 0.602499 | + | 0.141552i | ||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 1.00000 | − | 1.73205i | 0.0439375 | − | 0.0761019i | ||||
\(519\) | −3.00000 | − | 9.94987i | −0.131685 | − | 0.436751i | ||||
\(520\) | 4.37228 | + | 7.57301i | 0.191737 | + | 0.332099i | ||||
\(521\) | −24.8614 | −1.08920 | −0.544599 | − | 0.838697i | \(-0.683318\pi\) | ||||
−0.544599 | + | 0.838697i | \(0.683318\pi\) | |||||||
\(522\) | −21.8614 | + | 14.5012i | −0.956848 | + | 0.634701i | ||||
\(523\) | −35.1168 | −1.53555 | −0.767776 | − | 0.640718i | \(-0.778637\pi\) | ||||
−0.767776 | + | 0.640718i | \(0.778637\pi\) | |||||||
\(524\) | 0.813859 | + | 1.40965i | 0.0355536 | + | 0.0615807i | ||||
\(525\) | 16.7446 | − | 17.8178i | 0.730793 | − | 0.777634i | ||||
\(526\) | 3.81386 | − | 6.60580i | 0.166292 | − | 0.288026i | ||||
\(527\) | −1.37228 | + | 2.37686i | −0.0597775 | + | 0.103538i | ||||
\(528\) | −1.62772 | + | 1.73205i | −0.0708374 | + | 0.0753778i | ||||
\(529\) | 10.1753 | + | 17.6241i | 0.442403 | + | 0.766264i | ||||
\(530\) | 38.2337 | 1.66077 | ||||||||
\(531\) | 25.2921 | − | 16.7769i | 1.09758 | − | 0.728055i | ||||
\(532\) | 5.00000 | 0.216777 | ||||||||
\(533\) | −4.62772 | − | 8.01544i | −0.200449 | − | 0.347187i | ||||
\(534\) | −7.37228 | − | 24.4511i | −0.319030 | − | 1.05810i | ||||
\(535\) | 16.1168 | − | 27.9152i | 0.696792 | − | 1.20688i | ||||
\(536\) | −1.05842 | + | 1.83324i | −0.0457169 | + | 0.0791839i | ||||
\(537\) | −5.48913 | − | 1.28962i | −0.236873 | − | 0.0556512i | ||||
\(538\) | −0.813859 | − | 1.40965i | −0.0350880 | − | 0.0607741i | ||||
\(539\) | −1.37228 | −0.0591083 | ||||||||
\(540\) | −3.81386 | + | 22.3966i | −0.164122 | + | 0.963798i | ||||
\(541\) | −6.23369 | −0.268007 | −0.134004 | − | 0.990981i | \(-0.542783\pi\) | ||||
−0.134004 | + | 0.990981i | \(0.542783\pi\) | |||||||
\(542\) | 8.11684 | + | 14.0588i | 0.348648 | + | 0.603877i | ||||
\(543\) | −1.48913 | − | 0.349857i | −0.0639045 | − | 0.0150138i | ||||
\(544\) | 0.686141 | − | 1.18843i | 0.0294180 | − | 0.0509535i | ||||
\(545\) | −30.6060 | + | 53.0111i | −1.31102 | + | 2.27075i | ||||
\(546\) | −1.00000 | − | 3.31662i | −0.0427960 | − | 0.141938i | ||||
\(547\) | −9.05842 | − | 15.6896i | −0.387310 | − | 0.670841i | 0.604777 | − | 0.796395i | \(-0.293262\pi\) |
−0.992087 | + | 0.125554i | \(0.959929\pi\) | |||||||
\(548\) | 10.6277 | 0.453994 | ||||||||
\(549\) | −0.580171 | − | 9.33252i | −0.0247611 | − | 0.398302i | ||||
\(550\) | 19.3723 | 0.826037 | ||||||||
\(551\) | 21.8614 | + | 37.8651i | 0.931327 | + | 1.61311i | ||||
\(552\) | 1.93070 | − | 2.05446i | 0.0821762 | − | 0.0874434i | ||||
\(553\) | 2.55842 | − | 4.43132i | 0.108795 | − | 0.188439i | ||||
\(554\) | −6.11684 | + | 10.5947i | −0.259880 | + | 0.450125i | ||||
\(555\) | 10.3723 | − | 11.0371i | 0.440279 | − | 0.468499i | ||||
\(556\) | −6.61684 | − | 11.4607i | −0.280617 | − | 0.486042i | ||||
\(557\) | 29.4891 | 1.24949 | 0.624747 | − | 0.780827i | \(-0.285202\pi\) | ||||
0.624747 | + | 0.780827i | \(0.285202\pi\) | |||||||
\(558\) | −5.37228 | − | 2.67181i | −0.227427 | − | 0.113107i | ||||
\(559\) | −16.2337 | −0.686612 | ||||||||
\(560\) | −2.18614 | − | 3.78651i | −0.0923813 | − | 0.160009i | ||||
\(561\) | −0.941578 | − | 3.12286i | −0.0397535 | − | 0.131847i | ||||
\(562\) | 8.18614 | − | 14.1788i | 0.345312 | − | 0.598097i | ||||
\(563\) | −1.50000 | + | 2.59808i | −0.0632175 | + | 0.109496i | −0.895902 | − | 0.444252i | \(-0.853470\pi\) |
0.832684 | + | 0.553748i | \(0.186803\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 9.55842 | + | 16.5557i | 0.402126 | + | 0.696502i | ||||
\(566\) | −27.1168 | −1.13981 | ||||||||
\(567\) | 3.50000 | − | 8.29156i | 0.146986 | − | 0.348213i | ||||
\(568\) | 7.11684 | 0.298616 | ||||||||
\(569\) | −8.05842 | − | 13.9576i | −0.337827 | − | 0.585133i | 0.646197 | − | 0.763171i | \(-0.276358\pi\) |
−0.984024 | + | 0.178038i | \(0.943025\pi\) | |||||||
\(570\) | 36.8614 | + | 8.66025i | 1.54395 | + | 0.362738i | ||||
\(571\) | 11.1753 | − | 19.3561i | 0.467670 | − | 0.810029i | −0.531647 | − | 0.846966i | \(-0.678427\pi\) |
0.999318 | + | 0.0369371i | \(0.0117601\pi\) | |||||||
\(572\) | 1.37228 | − | 2.37686i | 0.0573780 | − | 0.0993815i | ||||
\(573\) | −9.55842 | − | 31.7017i | −0.399309 | − | 1.32436i | ||||
\(574\) | 2.31386 | + | 4.00772i | 0.0965786 | + | 0.167279i | ||||
\(575\) | −22.9783 | −0.958259 | ||||||||
\(576\) | 2.68614 | + | 1.33591i | 0.111923 | + | 0.0556628i | ||||
\(577\) | 9.88316 | 0.411441 | 0.205721 | − | 0.978611i | \(-0.434046\pi\) | ||||
0.205721 | + | 0.978611i | \(0.434046\pi\) | |||||||
\(578\) | −7.55842 | − | 13.0916i | −0.314389 | − | 0.544538i | ||||
\(579\) | −8.30298 | + | 8.83518i | −0.345060 | + | 0.367178i | ||||
\(580\) | 19.1168 | − | 33.1113i | 0.793784 | − | 1.37487i | ||||
\(581\) | −8.74456 | + | 15.1460i | −0.362786 | + | 0.628363i | ||||
\(582\) | 9.62772 | − | 10.2448i | 0.399082 | − | 0.424662i | ||||
\(583\) | −6.00000 | − | 10.3923i | −0.248495 | − | 0.430405i | ||||
\(584\) | −12.1168 | −0.501399 | ||||||||
\(585\) | −1.62772 | − | 26.1831i | −0.0672979 | − | 1.08254i | ||||
\(586\) | 10.3723 | 0.428475 | ||||||||
\(587\) | −7.24456 | − | 12.5480i | −0.299015 | − | 0.517909i | 0.676896 | − | 0.736079i | \(-0.263325\pi\) |
−0.975911 | + | 0.218170i | \(0.929991\pi\) | |||||||
\(588\) | 0.500000 | + | 1.65831i | 0.0206197 | + | 0.0683877i | ||||
\(589\) | −5.00000 | + | 8.66025i | −0.206021 | + | 0.356840i | ||||
\(590\) | −22.1168 | + | 38.3075i | −0.910536 | + | 1.57709i | ||||
\(591\) | 10.1168 | + | 2.37686i | 0.416151 | + | 0.0977710i | ||||
\(592\) | −1.00000 | − | 1.73205i | −0.0410997 | − | 0.0711868i | ||||
\(593\) | 14.7446 | 0.605487 | 0.302743 | − | 0.953072i | \(-0.402098\pi\) | ||||
0.302743 | + | 0.953072i | \(0.402098\pi\) | |||||||
\(594\) | 6.68614 | − | 2.47805i | 0.274336 | − | 0.101676i | ||||
\(595\) | 6.00000 | 0.245976 | ||||||||
\(596\) | −1.62772 | − | 2.81929i | −0.0666740 | − | 0.115483i | ||||
\(597\) | 16.8614 | + | 3.96143i | 0.690091 | + | 0.162131i | ||||
\(598\) | −1.62772 | + | 2.81929i | −0.0665624 | + | 0.115289i | ||||
\(599\) | −12.0000 | + | 20.7846i | −0.490307 | + | 0.849236i | −0.999938 | − | 0.0111569i | \(-0.996449\pi\) |
0.509631 | + | 0.860393i | \(0.329782\pi\) | |||||||
\(600\) | −7.05842 | − | 23.4101i | −0.288159 | − | 0.955715i | ||||
\(601\) | −12.0584 | − | 20.8858i | −0.491873 | − | 0.851950i | 0.508083 | − | 0.861308i | \(-0.330354\pi\) |
−0.999956 | + | 0.00935863i | \(0.997021\pi\) | |||||||
\(602\) | 8.11684 | 0.330818 | ||||||||
\(603\) | 5.29211 | − | 3.51039i | 0.215511 | − | 0.142954i | ||||
\(604\) | 9.11684 | 0.370959 | ||||||||
\(605\) | 19.9307 | + | 34.5210i | 0.810298 | + | 1.40348i | ||||
\(606\) | −1.93070 | + | 2.05446i | −0.0784295 | + | 0.0834566i | ||||
\(607\) | −11.1168 | + | 19.2549i | −0.451219 | + | 0.781534i | −0.998462 | − | 0.0554398i | \(-0.982344\pi\) |
0.547243 | + | 0.836974i | \(0.315677\pi\) | |||||||
\(608\) | 2.50000 | − | 4.33013i | 0.101388 | − | 0.175610i | ||||
\(609\) | −10.3723 | + | 11.0371i | −0.420306 | + | 0.447246i | ||||
\(610\) | 6.81386 | + | 11.8020i | 0.275885 | + | 0.477847i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | −3.43070 | + | 2.27567i | −0.138678 | + | 0.0919886i | ||||
\(613\) | −36.2337 | −1.46346 | −0.731732 | − | 0.681592i | \(-0.761288\pi\) | ||||
−0.731732 | + | 0.681592i | \(0.761288\pi\) | |||||||
\(614\) | −6.50000 | − | 11.2583i | −0.262319 | − | 0.454349i | ||||
\(615\) | 10.1168 | + | 33.5538i | 0.407951 | + | 1.35302i | ||||
\(616\) | −0.686141 | + | 1.18843i | −0.0276454 | + | 0.0478832i | ||||
\(617\) | −9.43070 | + | 16.3345i | −0.379666 | + | 0.657600i | −0.991014 | − | 0.133762i | \(-0.957294\pi\) |
0.611348 | + | 0.791362i | \(0.290628\pi\) | |||||||
\(618\) | −16.8614 | − | 3.96143i | −0.678265 | − | 0.159352i | ||||
\(619\) | −22.7337 | − | 39.3759i | −0.913744 | − | 1.58265i | −0.808730 | − | 0.588180i | \(-0.799844\pi\) |
−0.105014 | − | 0.994471i | \(-0.533489\pi\) | |||||||
\(620\) | 8.74456 | 0.351190 | ||||||||
\(621\) | −7.93070 | + | 2.93932i | −0.318248 | + | 0.117951i | ||||
\(622\) | −8.23369 | −0.330141 | ||||||||
\(623\) | −7.37228 | − | 12.7692i | −0.295364 | − | 0.511586i | ||||
\(624\) | −3.37228 | − | 0.792287i | −0.134999 | − | 0.0317169i | ||||
\(625\) | −51.8505 | + | 89.8078i | −2.07402 | + | 3.59231i | ||||
\(626\) | −10.0584 | + | 17.4217i | −0.402015 | + | 0.696311i | ||||
\(627\) | −3.43070 | − | 11.3784i | −0.137009 | − | 0.454408i | ||||
\(628\) | −4.55842 | − | 7.89542i | −0.181901 | − | 0.315061i | ||||
\(629\) | 2.74456 | 0.109433 | ||||||||
\(630\) | 0.813859 | + | 13.0916i | 0.0324249 | + | 0.521581i | ||||
\(631\) | −37.3505 | −1.48690 | −0.743451 | − | 0.668791i | \(-0.766812\pi\) | ||||
−0.743451 | + | 0.668791i | \(0.766812\pi\) | |||||||
\(632\) | −2.55842 | − | 4.43132i | −0.101769 | − | 0.176268i | ||||
\(633\) | −18.9783 | + | 20.1947i | −0.754318 | + | 0.802667i | ||||
\(634\) | −3.00000 | + | 5.19615i | −0.119145 | + | 0.206366i | ||||
\(635\) | −6.81386 | + | 11.8020i | −0.270400 | + | 0.468346i | ||||
\(636\) | −10.3723 | + | 11.0371i | −0.411288 | + | 0.437650i | ||||
\(637\) | −1.00000 | − | 1.73205i | −0.0396214 | − | 0.0686264i | ||||
\(638\) | −12.0000 | −0.475085 | ||||||||
\(639\) | −19.1168 | − | 9.50744i | −0.756251 | − | 0.376109i | ||||
\(640\) | −4.37228 | −0.172830 | ||||||||
\(641\) | −17.1060 | − | 29.6284i | −0.675645 | − | 1.17025i | −0.976280 | − | 0.216512i | \(-0.930532\pi\) |
0.300635 | − | 0.953739i | \(-0.402802\pi\) | |||||||
\(642\) | 3.68614 | + | 12.2255i | 0.145480 | + | 0.482504i | ||||
\(643\) | −13.1753 | + | 22.8202i | −0.519582 | + | 0.899942i | 0.480159 | + | 0.877181i | \(0.340579\pi\) |
−0.999741 | + | 0.0227606i | \(0.992754\pi\) | |||||||
\(644\) | 0.813859 | − | 1.40965i | 0.0320706 | − | 0.0555478i | ||||
\(645\) | 59.8397 | + | 14.0588i | 2.35618 | + | 0.553564i | ||||
\(646\) | 3.43070 | + | 5.94215i | 0.134979 | + | 0.233791i | ||||
\(647\) | 5.48913 | 0.215800 | 0.107900 | − | 0.994162i | \(-0.465587\pi\) | ||||
0.107900 | + | 0.994162i | \(0.465587\pi\) | |||||||
\(648\) | −5.43070 | − | 7.17687i | −0.213338 | − | 0.281934i | ||||
\(649\) | 13.8832 | 0.544962 | ||||||||
\(650\) | 14.1168 | + | 24.4511i | 0.553708 | + | 0.959051i | ||||
\(651\) | −3.37228 | − | 0.792287i | −0.132170 | − | 0.0310522i | ||||
\(652\) | 9.11684 | − | 15.7908i | 0.357043 | − | 0.618417i | ||||
\(653\) | 13.3723 | − | 23.1615i | 0.523298 | − | 0.906378i | −0.476335 | − | 0.879264i | \(-0.658035\pi\) |
0.999632 | − | 0.0271143i | \(-0.00863179\pi\) | |||||||
\(654\) | −7.00000 | − | 23.2164i | −0.273722 | − | 0.907832i | ||||
\(655\) | 3.55842 | + | 6.16337i | 0.139039 | + | 0.240823i | ||||
\(656\) | 4.62772 | 0.180682 | ||||||||
\(657\) | 32.5475 | + | 16.1870i | 1.26980 | + | 0.631514i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 10.3723 | + | 17.9653i | 0.404047 | + | 0.699829i | 0.994210 | − | 0.107454i | \(-0.0342700\pi\) |
−0.590163 | + | 0.807284i | \(0.700937\pi\) | |||||||
\(660\) | −7.11684 | + | 7.57301i | −0.277023 | + | 0.294779i | ||||
\(661\) | −13.5584 | + | 23.4839i | −0.527361 | + | 0.913417i | 0.472130 | + | 0.881529i | \(0.343485\pi\) |
−0.999491 | + | 0.0318879i | \(0.989848\pi\) | |||||||
\(662\) | 11.1168 | − | 19.2549i | 0.432068 | − | 0.748364i | ||||
\(663\) | 3.25544 | − | 3.46410i | 0.126431 | − | 0.134535i | ||||
\(664\) | 8.74456 | + | 15.1460i | 0.339355 | + | 0.587780i | ||||
\(665\) | 21.8614 | 0.847749 | ||||||||
\(666\) | 0.372281 | + | 5.98844i | 0.0144256 | + | 0.232047i | ||||
\(667\) | 14.2337 | 0.551131 | ||||||||
\(668\) | 2.74456 | + | 4.75372i | 0.106190 | + | 0.183927i | ||||
\(669\) | −2.00000 | − | 6.63325i | −0.0773245 | − | 0.256456i | ||||
\(670\) | −4.62772 | + | 8.01544i | −0.178784 | + | 0.309664i | ||||
\(671\) | 2.13859 | − | 3.70415i | 0.0825595 | − | 0.142997i | ||||
\(672\) | 1.68614 | + | 0.396143i | 0.0650443 | + | 0.0152816i | ||||
\(673\) | 1.44158 | + | 2.49689i | 0.0555687 | + | 0.0962479i | 0.892472 | − | 0.451103i | \(-0.148969\pi\) |
−0.836903 | + | 0.547351i | \(0.815636\pi\) | |||||||
\(674\) | 8.11684 | 0.312649 | ||||||||
\(675\) | −12.3139 | + | 72.3123i | −0.473961 | + | 2.78330i | ||||
\(676\) | −9.00000 | −0.346154 | ||||||||
\(677\) | −17.2337 | − | 29.8496i | −0.662344 | − | 1.14721i | −0.979998 | − | 0.199007i | \(-0.936228\pi\) |
0.317654 | − | 0.948207i | \(-0.397105\pi\) | |||||||
\(678\) | −7.37228 | − | 1.73205i | −0.283131 | − | 0.0665190i | ||||
\(679\) | 4.05842 | − | 7.02939i | 0.155748 | − | 0.269763i | ||||
\(680\) | 3.00000 | − | 5.19615i | 0.115045 | − | 0.199263i | ||||
\(681\) | −6.12772 | − | 20.3233i | −0.234815 | − | 0.778792i | ||||
\(682\) | −1.37228 | − | 2.37686i | −0.0525474 | − | 0.0910147i | ||||
\(683\) | 29.8397 | 1.14178 | 0.570891 | − | 0.821026i | \(-0.306598\pi\) | ||||
0.570891 | + | 0.821026i | \(0.306598\pi\) | |||||||
\(684\) | −12.5000 | + | 8.29156i | −0.477949 | + | 0.317036i | ||||
\(685\) | 46.4674 | 1.77543 | ||||||||
\(686\) | 0.500000 | + | 0.866025i | 0.0190901 | + | 0.0330650i | ||||
\(687\) | −3.41983 | + | 3.63903i | −0.130475 | + | 0.138838i | ||||
\(688\) | 4.05842 | − | 7.02939i | 0.154726 | − | 0.267993i | ||||
\(689\) | 8.74456 | − | 15.1460i | 0.333141 | − | 0.577018i | ||||
\(690\) | 8.44158 | − | 8.98266i | 0.321365 | − | 0.341964i | ||||
\(691\) | 11.5584 | + | 20.0198i | 0.439703 | + | 0.761588i | 0.997666 | − | 0.0682775i | \(-0.0217503\pi\) |
−0.557963 | + | 0.829866i | \(0.688417\pi\) | |||||||
\(692\) | −6.00000 | −0.228086 | ||||||||
\(693\) | 3.43070 | − | 2.27567i | 0.130322 | − | 0.0864456i | ||||
\(694\) | 10.1168 | 0.384030 | ||||||||
\(695\) | −28.9307 | − | 50.1094i | −1.09740 | − | 1.90076i | ||||
\(696\) | 4.37228 | + | 14.5012i | 0.165731 | + | 0.549667i | ||||
\(697\) | −3.17527 | + | 5.49972i | −0.120272 | + | 0.208317i | ||||
\(698\) | −11.0000 | + | 19.0526i | −0.416356 | + | 0.721150i | ||||
\(699\) | 0.430703 | + | 0.101190i | 0.0162907 | + | 0.00382735i | ||||
\(700\) | −7.05842 | − | 12.2255i | −0.266783 | − | 0.462082i | ||||
\(701\) | −38.2337 | −1.44407 | −0.722033 | − | 0.691858i | \(-0.756792\pi\) | ||||
−0.722033 | + | 0.691858i | \(0.756792\pi\) | |||||||
\(702\) | 8.00000 | + | 6.63325i | 0.301941 | + | 0.250356i | ||||
\(703\) | 10.0000 | 0.377157 | ||||||||
\(704\) | 0.686141 | + | 1.18843i | 0.0258599 | + | 0.0447907i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.68614 | + | 11.5807i | −0.251636 | + | 0.435847i | ||||
\(707\) | −0.813859 | + | 1.40965i | −0.0306083 | + | 0.0530152i | ||||
\(708\) | −5.05842 | − | 16.7769i | −0.190107 | − | 0.630514i | ||||
\(709\) | −22.0000 | − | 38.1051i | −0.826227 | − | 1.43107i | −0.900978 | − | 0.433865i | \(-0.857149\pi\) |
0.0747503 | − | 0.997202i | \(-0.476184\pi\) | |||||||
\(710\) | 31.1168 | 1.16779 | ||||||||
\(711\) | 0.952453 | + | 15.3210i | 0.0357198 | + | 0.574581i | ||||
\(712\) | −14.7446 | −0.552576 | ||||||||
\(713\) | 1.62772 | + | 2.81929i | 0.0609585 | + | 0.105583i | ||||
\(714\) | −1.62772 | + | 1.73205i | −0.0609158 | + | 0.0648204i | ||||
\(715\) | 6.00000 | − | 10.3923i | 0.224387 | − | 0.388650i | ||||
\(716\) | −1.62772 | + | 2.81929i | −0.0608307 | + | 0.105362i | ||||
\(717\) | 11.6970 | − | 12.4468i | 0.436833 | − | 0.464833i | ||||
\(718\) | 10.9307 | + | 18.9325i | 0.407930 | + | 0.706556i | ||||
\(719\) | 2.74456 | 0.102355 | 0.0511775 | − | 0.998690i | \(-0.483703\pi\) | ||||
0.0511775 | + | 0.998690i | \(0.483703\pi\) | |||||||
\(720\) | 11.7446 | + | 5.84096i | 0.437694 | + | 0.217680i | ||||
\(721\) | −10.0000 | −0.372419 | ||||||||
\(722\) | 3.00000 | + | 5.19615i | 0.111648 | + | 0.193381i | ||||
\(723\) | 9.05842 | + | 30.0434i | 0.336886 | + | 1.11733i | ||||
\(724\) | −0.441578 | + | 0.764836i | −0.0164111 | + | 0.0284249i | ||||
\(725\) | 61.7228 | − | 106.907i | 2.29233 | − | 3.97043i | ||||
\(726\) | −15.3723 | − | 3.61158i | −0.570519 | − | 0.134038i | ||||
\(727\) | 18.1168 | + | 31.3793i | 0.671917 | + | 1.16379i | 0.977360 | + | 0.211583i | \(0.0678620\pi\) |
−0.305443 | + | 0.952210i | \(0.598805\pi\) | |||||||
\(728\) | −2.00000 | −0.0741249 | ||||||||
\(729\) | 5.00000 | + | 26.5330i | 0.185185 | + | 0.982704i | ||||
\(730\) | −52.9783 | −1.96081 | ||||||||
\(731\) | 5.56930 | + | 9.64630i | 0.205988 | + | 0.356781i | ||||
\(732\) | −5.25544 | − | 1.23472i | −0.194247 | − | 0.0456365i | ||||
\(733\) | 20.5584 | − | 35.6082i | 0.759343 | − | 1.31522i | −0.183844 | − | 0.982956i | \(-0.558854\pi\) |
0.943186 | − | 0.332265i | \(-0.107813\pi\) | |||||||
\(734\) | −6.11684 | + | 10.5947i | −0.225777 | + | 0.391057i | ||||
\(735\) | 2.18614 | + | 7.25061i | 0.0806370 | + | 0.267443i | ||||
\(736\) | −0.813859 | − | 1.40965i | −0.0299993 | − | 0.0519602i | ||||
\(737\) | 2.90491 | 0.107004 | ||||||||
\(738\) | −12.4307 | − | 6.18220i | −0.457581 | − | 0.227570i | ||||
\(739\) | −8.11684 | −0.298583 | −0.149291 | − | 0.988793i | \(-0.547699\pi\) | ||||
−0.149291 | + | 0.988793i | \(0.547699\pi\) | |||||||
\(740\) | −4.37228 | − | 7.57301i | −0.160728 | − | 0.278390i | ||||
\(741\) | 11.8614 | − | 12.6217i | 0.435740 | − | 0.463669i | ||||
\(742\) | −4.37228 | + | 7.57301i | −0.160511 | + | 0.278014i | ||||
\(743\) | 6.86141 | − | 11.8843i | 0.251721 | − | 0.435993i | −0.712279 | − | 0.701896i | \(-0.752337\pi\) |
0.964000 | + | 0.265904i | \(0.0856703\pi\) | |||||||
\(744\) | −2.37228 | + | 2.52434i | −0.0869721 | + | 0.0925467i | ||||
\(745\) | −7.11684 | − | 12.3267i | −0.260741 | − | 0.451617i | ||||
\(746\) | 10.0000 | 0.366126 | ||||||||
\(747\) | −3.25544 | − | 52.3663i | −0.119110 | − | 1.91598i | ||||
\(748\) | −1.88316 | −0.0688550 | ||||||||
\(749\) | 3.68614 | + | 6.38458i | 0.134689 | + | 0.233288i | ||||
\(750\) | −19.9307 | − | 66.1027i | −0.727766 | − | 2.41373i | ||||
\(751\) | 8.55842 | − | 14.8236i | 0.312301 | − | 0.540922i | −0.666559 | − | 0.745452i | \(-0.732234\pi\) |
0.978860 | + | 0.204531i | \(0.0655668\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 15.1753 | + | 3.56529i | 0.553017 | + | 0.129926i | ||||
\(754\) | −8.74456 | − | 15.1460i | −0.318458 | − | 0.551586i | ||||
\(755\) | 39.8614 | 1.45071 | ||||||||
\(756\) | −4.00000 | − | 3.31662i | −0.145479 | − | 0.120624i | ||||
\(757\) | 46.2337 | 1.68039 | 0.840196 | − | 0.542283i | \(-0.182440\pi\) | ||||
0.840196 | + | 0.542283i | \(0.182440\pi\) | |||||||
\(758\) | −4.05842 | − | 7.02939i | −0.147409 | − | 0.255319i | ||||
\(759\) | −3.76631 | − | 0.884861i | −0.136708 | − | 0.0321184i | ||||
\(760\) | 10.9307 | − | 18.9325i | 0.396498 | − | 0.686755i | ||||
\(761\) | −17.7446 | + | 30.7345i | −0.643240 | + | 1.11412i | 0.341465 | + | 0.939894i | \(0.389077\pi\) |
−0.984705 | + | 0.174230i | \(0.944256\pi\) | |||||||
\(762\) | −1.55842 | − | 5.16870i | −0.0564557 | − | 0.187242i | ||||
\(763\) | −7.00000 | − | 12.1244i | −0.253417 | − | 0.438931i | ||||
\(764\) | −19.1168 | −0.691623 | ||||||||
\(765\) | −15.0000 | + | 9.94987i | −0.542326 | + | 0.359738i | ||||
\(766\) | 32.7446 | 1.18311 | ||||||||
\(767\) | 10.1168 | + | 17.5229i | 0.365298 | + | 0.632715i | ||||
\(768\) | 1.18614 | − | 1.26217i | 0.0428012 | − | 0.0455446i | ||||
\(769\) | 5.00000 | − | 8.66025i | 0.180305 | − | 0.312297i | −0.761680 | − | 0.647954i | \(-0.775625\pi\) |
0.941984 | + | 0.335657i | \(0.108958\pi\) | |||||||
\(770\) | −3.00000 | + | 5.19615i | −0.108112 | + | 0.187256i | ||||
\(771\) | −8.13859 | + | 8.66025i | −0.293104 | + | 0.311891i | ||||
\(772\) | 3.50000 | + | 6.06218i | 0.125968 | + | 0.218183i | ||||
\(773\) | −39.8614 | −1.43372 | −0.716858 | − | 0.697220i | \(-0.754420\pi\) | ||||
−0.716858 | + | 0.697220i | \(0.754420\pi\) | |||||||
\(774\) | −20.2921 | + | 13.4603i | −0.729385 | + | 0.483819i | ||||
\(775\) | 28.2337 | 1.01418 | ||||||||
\(776\) | −4.05842 | − | 7.02939i | −0.145689 | − | 0.252341i | ||||
\(777\) | 1.00000 | + | 3.31662i | 0.0358748 | + | 0.118983i | ||||
\(778\) | 5.48913 | − | 9.50744i | 0.196795 | − | 0.340858i | ||||
\(779\) | −11.5693 | + | 20.0386i | −0.414513 | + | 0.717958i | ||||
\(780\) | −14.7446 | − | 3.46410i | −0.527940 | − | 0.124035i | ||||
\(781\) | −4.88316 | − | 8.45787i | −0.174733 | − | 0.302647i | ||||
\(782\) | 2.23369 | 0.0798765 | ||||||||
\(783\) | 7.62772 | − | 44.7933i | 0.272592 | − | 1.60078i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −19.9307 | − | 34.5210i | −0.711357 | − | 1.23211i | ||||
\(786\) | −2.74456 | − | 0.644810i | −0.0978953 | − | 0.0229996i | ||||
\(787\) | 2.00000 | − | 3.46410i | 0.0712923 | − | 0.123482i | −0.828176 | − | 0.560469i | \(-0.810621\pi\) |
0.899468 | + | 0.436987i | \(0.143954\pi\) | |||||||
\(788\) | 3.00000 | − | 5.19615i | 0.106871 | − | 0.185105i | ||||
\(789\) | 3.81386 | + | 12.6491i | 0.135777 | + | 0.450321i | ||||
\(790\) | −11.1861 | − | 19.3750i | −0.397985 | − | 0.689330i | ||||
\(791\) | −4.37228 | −0.155460 | ||||||||
\(792\) | −0.255437 | − | 4.10891i | −0.00907657 | − | 0.146004i | ||||
\(793\) | 6.23369 | 0.221365 | ||||||||
\(794\) | −11.0000 | − | 19.0526i | −0.390375 | − | 0.676150i | ||||
\(795\) | −45.3505 | + | 48.2574i | −1.60842 | + | 1.71151i | ||||
\(796\) | 5.00000 | − | 8.66025i | 0.177220 | − | 0.306955i | ||||
\(797\) | 4.06930 | − | 7.04823i | 0.144142 | − | 0.249661i | −0.784911 | − | 0.619609i | \(-0.787291\pi\) |
0.929052 | + | 0.369948i | \(0.120624\pi\) | |||||||
\(798\) | −5.93070 | + | 6.31084i | −0.209945 | + | 0.223401i | ||||
\(799\) | 0 | 0 | ||||||||
\(800\) | −14.1168 | −0.499106 | ||||||||
\(801\) | 39.6060 | + | 19.6974i | 1.39941 | + | 0.695972i | ||||
\(802\) | 11.7446 | 0.414715 | ||||||||
\(803\) | 8.31386 | + | 14.4000i | 0.293390 | + | 0.508166i | ||||
\(804\) | −1.05842 | − | 3.51039i | −0.0373277 | − | 0.123802i | ||||
\(805\) | 3.55842 | − | 6.16337i | 0.125418 | − | 0.217230i | ||||
\(806\) | 2.00000 | − | 3.46410i | 0.0704470 | − | 0.122018i | ||||
\(807\) | 2.74456 | + | 0.644810i | 0.0966132 | + | 0.0226984i | ||||
\(808\) | 0.813859 | + | 1.40965i | 0.0286315 | + | 0.0495912i | ||||
\(809\) | −6.86141 | −0.241234 | −0.120617 | − | 0.992699i | \(-0.538487\pi\) | ||||
−0.120617 | + | 0.992699i | \(0.538487\pi\) | |||||||
\(810\) | −23.7446 | − | 31.3793i | −0.834299 | − | 1.10256i | ||||
\(811\) | 42.1168 | 1.47892 | 0.739461 | − | 0.673199i | \(-0.235080\pi\) | ||||
0.739461 | + | 0.673199i | \(0.235080\pi\) | |||||||
\(812\) | 4.37228 | + | 7.57301i | 0.153437 | + | 0.265761i | ||||
\(813\) | −27.3723 | − | 6.43087i | −0.959988 | − | 0.225540i | ||||
\(814\) | −1.37228 | + | 2.37686i | −0.0480984 | + | 0.0833089i | ||||
\(815\) | 39.8614 | − | 69.0420i | 1.39628 | − | 2.41844i | ||||
\(816\) | 0.686141 | + | 2.27567i | 0.0240197 | + | 0.0796644i | ||||
\(817\) | 20.2921 | + | 35.1470i | 0.709931 | + | 1.22964i | ||||
\(818\) | 22.3505 | 0.781468 | ||||||||
\(819\) | 5.37228 | + | 2.67181i | 0.187723 | + | 0.0933608i | ||||
\(820\) | 20.2337 | 0.706591 | ||||||||
\(821\) | 1.88316 | + | 3.26172i | 0.0657226 | + | 0.113835i | 0.897014 | − | 0.442002i | \(-0.145731\pi\) |
−0.831292 | + | 0.555836i | \(0.812398\pi\) | |||||||
\(822\) | −12.6060 | + | 13.4140i | −0.439684 | + | 0.467866i | ||||
\(823\) | 6.11684 | − | 10.5947i | 0.213220 | − | 0.369307i | −0.739501 | − | 0.673156i | \(-0.764938\pi\) |
0.952720 | + | 0.303848i | \(0.0982716\pi\) | |||||||
\(824\) | −5.00000 | + | 8.66025i | −0.174183 | + | 0.301694i | ||||
\(825\) | −22.9783 | + | 24.4511i | −0.800000 | + | 0.851278i | ||||
\(826\) | −5.05842 | − | 8.76144i | −0.176005 | − | 0.304850i | ||||
\(827\) | 12.0000 | 0.417281 | 0.208640 | − | 0.977992i | \(-0.433096\pi\) | ||||
0.208640 | + | 0.977992i | \(0.433096\pi\) | |||||||
\(828\) | 0.302985 | + | 4.87375i | 0.0105294 | + | 0.169374i | ||||
\(829\) | −13.7663 | −0.478124 | −0.239062 | − | 0.971004i | \(-0.576840\pi\) | ||||
−0.239062 | + | 0.971004i | \(0.576840\pi\) | |||||||
\(830\) | 38.2337 | + | 66.2227i | 1.32711 | + | 2.29862i | ||||
\(831\) | −6.11684 | − | 20.2873i | −0.212191 | − | 0.703758i | ||||
\(832\) | −1.00000 | + | 1.73205i | −0.0346688 | + | 0.0600481i | ||||
\(833\) | −0.686141 | + | 1.18843i | −0.0237734 | + | 0.0411767i | ||||
\(834\) | 22.3139 | + | 5.24244i | 0.772666 | + | 0.181531i | ||||
\(835\) | 12.0000 | + | 20.7846i | 0.415277 | + | 0.719281i | ||||
\(836\) | −6.86141 | −0.237307 | ||||||||
\(837\) | 9.74456 | − | 3.61158i | 0.336821 | − | 0.124834i | ||||
\(838\) | 12.6060 | 0.435466 | ||||||||
\(839\) | −2.74456 | − | 4.75372i | −0.0947528 | − | 0.164117i | 0.814753 | − | 0.579809i | \(-0.196873\pi\) |
−0.909505 | + | 0.415692i | \(0.863539\pi\) | |||||||
\(840\) | 7.37228 | + | 1.73205i | 0.254368 | + | 0.0597614i | ||||
\(841\) | −23.7337 | + | 41.1080i | −0.818403 | + | 1.41752i | ||||
\(842\) | 17.1168 | − | 29.6472i | 0.589885 | − | 1.02171i | ||||
\(843\) | 8.18614 | + | 27.1504i | 0.281946 | + | 0.935108i | ||||
\(844\) | 8.00000 | + | 13.8564i | 0.275371 | + | 0.476957i | ||||
\(845\) | −39.3505 | −1.35370 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −9.11684 | −0.313258 | ||||||||
\(848\) | 4.37228 | + | 7.57301i | 0.150145 | + | 0.260058i | ||||
\(849\) | 32.1644 | − | 34.2260i | 1.10388 | − | 1.17463i | ||||
\(850\) | 9.68614 | − | 16.7769i | 0.332232 | − | 0.575443i | ||||
\(851\) | 1.62772 | − | 2.81929i | 0.0557975 | − | 0.0966441i | ||||
\(852\) | −8.44158 | + | 8.98266i | −0.289204 | + | 0.307741i | ||||
\(853\) | 17.5584 | + | 30.4121i | 0.601189 | + | 1.04129i | 0.992641 | + | 0.121091i | \(0.0386394\pi\) |
−0.391452 | + | 0.920198i | \(0.628027\pi\) | |||||||
\(854\) | −3.11684 | −0.106656 | ||||||||
\(855\) | −54.6535 | + | 36.2530i | −1.86911 | + | 1.23983i | ||||
\(856\) | 7.37228 | 0.251979 | ||||||||
\(857\) | 19.9783 | + | 34.6033i | 0.682444 | + | 1.18203i | 0.974233 | + | 0.225545i | \(0.0724163\pi\) |
−0.291789 | + | 0.956483i | \(0.594250\pi\) | |||||||
\(858\) | 1.37228 | + | 4.55134i | 0.0468489 | + | 0.155380i | ||||
\(859\) | −16.9416 | + | 29.3437i | −0.578039 | + | 1.00119i | 0.417665 | + | 0.908601i | \(0.362849\pi\) |
−0.995704 | + | 0.0925921i | \(0.970485\pi\) | |||||||
\(860\) | 17.7446 | − | 30.7345i | 0.605085 | − | 1.04804i | ||||
\(861\) | −7.80298 | − | 1.83324i | −0.265925 | − | 0.0624767i | ||||
\(862\) | −3.25544 | − | 5.63858i | −0.110881 | − | 0.192051i | ||||
\(863\) | 9.86141 | 0.335686 | 0.167843 | − | 0.985814i | \(-0.446320\pi\) | ||||
0.167843 | + | 0.985814i | \(0.446320\pi\) | |||||||
\(864\) | −4.87228 | + | 1.80579i | −0.165758 | + | 0.0614342i | ||||
\(865\) | −26.2337 | −0.891972 | ||||||||
\(866\) | −10.0584 | − | 17.4217i | −0.341799 | − | 0.592013i | ||||
\(867\) | 25.4891 | + | 5.98844i | 0.865656 | + | 0.203378i | ||||
\(868\) | −1.00000 | + | 1.73205i | −0.0339422 | + | 0.0587896i | ||||
\(869\) | −3.51087 | + | 6.08101i | −0.119098 | + | 0.206284i | ||||
\(870\) | 19.1168 | + | 63.4034i | 0.648122 | + | 2.14958i | ||||
\(871\) | 2.11684 | + | 3.66648i | 0.0717265 | + | 0.124234i | ||||
\(872\) | −14.0000 | −0.474100 | ||||||||
\(873\) | 1.51087 | + | 24.3036i | 0.0511354 | + | 0.822553i | ||||
\(874\) | 8.13859 | 0.275292 | ||||||||
\(875\) | −19.9307 | − | 34.5210i | −0.673781 | − | 1.16702i | ||||
\(876\) | 14.3723 | − | 15.2935i | 0.485594 | − | 0.516720i | ||||
\(877\) | 29.3505 | − | 50.8366i | 0.991097 | − | 1.71663i | 0.380245 | − | 0.924886i | \(-0.375840\pi\) |
0.610852 | − | 0.791744i | \(-0.290827\pi\) | |||||||
\(878\) | 4.00000 | − | 6.92820i | 0.134993 | − | 0.233816i | ||||
\(879\) | −12.3030 | + | 13.0916i | −0.414969 | + | 0.441568i | ||||
\(880\) | 3.00000 | + | 5.19615i | 0.101130 | + | 0.175162i | ||||
\(881\) | −20.2337 | −0.681690 | −0.340845 | − | 0.940119i | \(-0.610713\pi\) | ||||
−0.340845 | + | 0.940119i | \(0.610713\pi\) | |||||||
\(882\) | −2.68614 | − | 1.33591i | −0.0904471 | − | 0.0449823i | ||||
\(883\) | −40.3505 | −1.35790 | −0.678952 | − | 0.734183i | \(-0.737565\pi\) | ||||
−0.678952 | + | 0.734183i | \(0.737565\pi\) | |||||||
\(884\) | −1.37228 | − | 2.37686i | −0.0461548 | − | 0.0799425i | ||||
\(885\) | −22.1168 | − | 73.3533i | −0.743450 | − | 2.46574i | ||||
\(886\) | −20.0584 | + | 34.7422i | −0.673876 | + | 1.16719i | ||||
\(887\) | −12.8614 | + | 22.2766i | −0.431844 | + | 0.747975i | −0.997032 | − | 0.0769865i | \(-0.975470\pi\) |
0.565188 | + | 0.824962i | \(0.308803\pi\) | |||||||
\(888\) | 3.37228 | + | 0.792287i | 0.113166 | + | 0.0265874i | ||||
\(889\) | −1.55842 | − | 2.69927i | −0.0522678 | − | 0.0905305i | ||||
\(890\) | −64.4674 | −2.16095 | ||||||||
\(891\) | −4.80298 | + | 11.3784i | −0.160906 | + | 0.381189i | ||||
\(892\) | −4.00000 | −0.133930 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 5.48913 | + | 1.28962i | 0.183584 | + | 0.0431314i | ||||
\(895\) | −7.11684 | + | 12.3267i | −0.237890 | + | 0.412037i | ||||
\(896\) | 0.500000 | − | 0.866025i | 0.0167038 | − | 0.0289319i | ||||
\(897\) | −1.62772 | − | 5.39853i | −0.0543479 | − | 0.180252i | ||||
\(898\) | 16.5000 | + | 28.5788i | 0.550612 | + | 0.953688i | ||||
\(899\) | −17.4891 | −0.583295 | ||||||||
\(900\) | 37.9198 | + | 18.8588i | 1.26399 | + | 0.628627i | ||||
\(901\) | −12.0000 | −0.399778 | ||||||||
\(902\) | −3.17527 | − | 5.49972i | −0.105725 | − | 0.183121i | ||||
\(903\) | −9.62772 | + | 10.2448i | −0.320390 | + | 0.340927i | ||||
\(904\) | −2.18614 | + | 3.78651i | −0.0727100 | + | 0.125937i | ||||
\(905\) | −1.93070 | + | 3.34408i | −0.0641787 | + | 0.111161i | ||||
\(906\) | −10.8139 | + | 11.5070i | −0.359266 | + | 0.382294i | ||||
\(907\) | 13.0584 | + | 22.6179i | 0.433598 | + | 0.751013i | 0.997180 | − | 0.0750466i | \(-0.0239105\pi\) |
−0.563582 | + | 0.826060i | \(0.690577\pi\) | |||||||
\(908\) | −12.2554 | −0.406711 | ||||||||
\(909\) | −0.302985 | − | 4.87375i | −0.0100494 | − | 0.161652i | ||||
\(910\) | −8.74456 | −0.289879 | ||||||||
\(911\) | 18.8139 | + | 32.5866i | 0.623331 | + | 1.07964i | 0.988861 | + | 0.148841i | \(0.0475544\pi\) |
−0.365530 | + | 0.930800i | \(0.619112\pi\) | |||||||
\(912\) | 2.50000 | + | 8.29156i | 0.0827833 | + | 0.274561i | ||||
\(913\) | 12.0000 | − | 20.7846i | 0.397142 | − | 0.687870i | ||||
\(914\) | −17.7337 | + | 30.7156i | −0.586578 | + | 1.01598i | ||||
\(915\) | −22.9783 | − | 5.39853i | −0.759638 | − | 0.178470i | ||||
\(916\) | 1.44158 | + | 2.49689i | 0.0476311 | + | 0.0824994i | ||||
\(917\) | −1.62772 | −0.0537520 | ||||||||
\(918\) | 1.19702 | − | 7.02939i | 0.0395074 | − | 0.232005i | ||||
\(919\) | −47.1168 | −1.55424 | −0.777121 | − | 0.629352i | \(-0.783321\pi\) | ||||
−0.777121 | + | 0.629352i | \(0.783321\pi\) | |||||||
\(920\) | −3.55842 | − | 6.16337i | −0.117318 | − | 0.203200i | ||||
\(921\) | 21.9198 | + | 5.14987i | 0.722283 | + | 0.169694i | ||||
\(922\) | 1.06930 | − | 1.85208i | 0.0352154 | − | 0.0609949i | ||||
\(923\) | 7.11684 | − | 12.3267i | 0.234254 | − | 0.405739i | ||||
\(924\) | −0.686141 | − | 2.27567i | −0.0225724 | − | 0.0748641i | ||||
\(925\) | −14.1168 | − | 24.4511i | −0.464159 | − | 0.803947i | ||||
\(926\) | 23.1168 | 0.759667 | ||||||||
\(927\) | 25.0000 | − | 16.5831i | 0.821108 | − | 0.544661i | ||||
\(928\) | 8.74456 | 0.287054 | ||||||||
\(929\) | −22.1168 | − | 38.3075i | −0.725630 | − | 1.25683i | −0.958714 | − | 0.284372i | \(-0.908215\pi\) |
0.233084 | − | 0.972457i | \(-0.425118\pi\) | |||||||
\(930\) | −10.3723 | + | 11.0371i | −0.340121 | + | 0.361921i | ||||
\(931\) | −2.50000 | + | 4.33013i | −0.0819342 | + | 0.141914i | ||||
\(932\) | 0.127719 | − | 0.221215i | 0.00418356 | − | 0.00724615i | ||||
\(933\) | 9.76631 | − | 10.3923i | 0.319735 | − | 0.340229i | ||||
\(934\) | 16.5475 | + | 28.6612i | 0.541452 | + | 0.937823i | ||||
\(935\) | −8.23369 | −0.269270 | ||||||||
\(936\) | 5.00000 | − | 3.31662i | 0.163430 | − | 0.108407i | ||||
\(937\) | 30.4674 | 0.995326 | 0.497663 | − | 0.867371i | \(-0.334192\pi\) | ||||
0.497663 | + | 0.867371i | \(0.334192\pi\) | |||||||
\(938\) | −1.05842 | − | 1.83324i | −0.0345587 | − | 0.0598574i | ||||
\(939\) | −10.0584 | − | 33.3600i | −0.328244 | − | 1.08866i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −9.55842 | + | 16.5557i | −0.311596 | + | 0.539699i | −0.978708 | − | 0.205258i | \(-0.934197\pi\) |
0.667112 | + | 0.744957i | \(0.267530\pi\) | |||||||
\(942\) | 15.3723 | + | 3.61158i | 0.500856 | + | 0.117672i | ||||
\(943\) | 3.76631 | + | 6.52344i | 0.122648 | + | 0.212433i | ||||
\(944\) | −10.1168 | −0.329275 | ||||||||
\(945\) | −17.4891 | − | 14.5012i | −0.568921 | − | 0.471725i | ||||
\(946\) | −11.1386 | −0.362147 | ||||||||
\(947\) | −17.0584 | − | 29.5461i | −0.554324 | − | 0.960118i | −0.997956 | − | 0.0639085i | \(-0.979643\pi\) |
0.443632 | − | 0.896209i | \(-0.353690\pi\) | |||||||
\(948\) | 8.62772 | + | 2.02700i | 0.280215 | + | 0.0658340i | ||||
\(949\) | −12.1168 | + | 20.9870i | −0.393329 | + | 0.681267i | ||||
\(950\) | 35.2921 | − | 61.1277i | 1.14503 | − | 1.98325i | ||||
\(951\) | −3.00000 | − | 9.94987i | −0.0972817 | − | 0.322647i | ||||
\(952\) | 0.686141 | + | 1.18843i | 0.0222379 | + | 0.0385173i | ||||
\(953\) | 28.1168 | 0.910794 | 0.455397 | − | 0.890288i | \(-0.349497\pi\) | ||||
0.455397 | + | 0.890288i | \(0.349497\pi\) | |||||||
\(954\) | −1.62772 | − | 26.1831i | −0.0526993 | − | 0.847711i | ||||
\(955\) | −83.5842 | −2.70472 | ||||||||
\(956\) | −4.93070 | − | 8.54023i | −0.159470 | − | 0.276211i | ||||
\(957\) | 14.2337 | − | 15.1460i | 0.460110 | − | 0.489602i | ||||
\(958\) | 16.3723 | − | 28.3576i | 0.528964 | − | 0.916193i | ||||
\(959\) | −5.31386 | + | 9.20387i | −0.171593 | + | 0.297209i | ||||
\(960\) | 5.18614 | − | 5.51856i | 0.167382 | − | 0.178111i | ||||
\(961\) | 13.5000 | + | 23.3827i | 0.435484 | + | 0.754280i | ||||
\(962\) | −4.00000 | −0.128965 | ||||||||
\(963\) | −19.8030 | − | 9.84868i | −0.638142 | − | 0.317369i | ||||
\(964\) | 18.1168 | 0.583504 | ||||||||
\(965\) | 15.3030 | + | 26.5055i | 0.492621 | + | 0.853244i | ||||
\(966\) | 0.813859 | + | 2.69927i | 0.0261855 | + | 0.0868475i | ||||
\(967\) | −15.4416 | + | 26.7456i | −0.496568 | + | 0.860080i | −0.999992 | − | 0.00395879i | \(-0.998740\pi\) |
0.503424 | + | 0.864039i | \(0.332073\pi\) | |||||||
\(968\) | −4.55842 | + | 7.89542i | −0.146513 | + | 0.253768i | ||||
\(969\) | −11.5693 | − | 2.71810i | −0.371659 | − | 0.0873180i | ||||
\(970\) | −17.7446 | − | 30.7345i | −0.569744 | − | 0.986825i | ||||
\(971\) | 1.62772 | 0.0522360 | 0.0261180 | − | 0.999659i | \(-0.491685\pi\) | ||||
0.0261180 | + | 0.999659i | \(0.491685\pi\) | |||||||
\(972\) | 15.5000 | + | 1.65831i | 0.497163 | + | 0.0531904i | ||||
\(973\) | 13.2337 | 0.424253 | ||||||||
\(974\) | 17.6753 | + | 30.6145i | 0.566352 | + | 0.980951i | ||||
\(975\) | −47.6060 | − | 11.1846i | −1.52461 | − | 0.358194i | ||||
\(976\) | −1.55842 | + | 2.69927i | −0.0498839 | + | 0.0864014i | ||||
\(977\) | −20.0584 | + | 34.7422i | −0.641726 | + | 1.11150i | 0.343322 | + | 0.939218i | \(0.388448\pi\) |
−0.985047 | + | 0.172284i | \(0.944885\pi\) | |||||||
\(978\) | 9.11684 | + | 30.2372i | 0.291525 | + | 0.966877i | ||||
\(979\) | 10.1168 | + | 17.5229i | 0.323336 | + | 0.560034i | ||||
\(980\) | 4.37228 | 0.139667 | ||||||||
\(981\) | 37.6060 | + | 18.7027i | 1.20067 | + | 0.597131i | ||||
\(982\) | 25.3723 | 0.809662 | ||||||||
\(983\) | 19.6277 | + | 33.9962i | 0.626027 | + | 1.08431i | 0.988341 | + | 0.152255i | \(0.0486534\pi\) |
−0.362314 | + | 0.932056i | \(0.618013\pi\) | |||||||
\(984\) | −5.48913 | + | 5.84096i | −0.174987 | + | 0.186203i | ||||
\(985\) | 13.1168 | − | 22.7190i | 0.417937 | − | 0.723889i | ||||
\(986\) | −6.00000 | + | 10.3923i | −0.191079 | + | 0.330958i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −5.00000 | − | 8.66025i | −0.159071 | − | 0.275519i | ||||
\(989\) | 13.2119 | 0.420115 | ||||||||
\(990\) | −1.11684 | − | 17.9653i | −0.0354956 | − | 0.570975i | ||||
\(991\) | 48.4674 | 1.53962 | 0.769808 | − | 0.638275i | \(-0.220352\pi\) | ||||
0.769808 | + | 0.638275i | \(0.220352\pi\) | |||||||
\(992\) | 1.00000 | + | 1.73205i | 0.0317500 | + | 0.0549927i | ||||
\(993\) | 11.1168 | + | 36.8704i | 0.352782 | + | 1.17005i | ||||
\(994\) | −3.55842 | + | 6.16337i | −0.112866 | + | 0.195490i | ||||
\(995\) | 21.8614 | − | 37.8651i | 0.693053 | − | 1.20040i | ||||
\(996\) | −29.4891 | − | 6.92820i | −0.934399 | − | 0.219529i | ||||
\(997\) | 2.55842 | + | 4.43132i | 0.0810260 | + | 0.140341i | 0.903691 | − | 0.428185i | \(-0.140847\pi\) |
−0.822665 | + | 0.568527i | \(0.807514\pi\) | |||||||
\(998\) | −18.1168 | −0.573479 | ||||||||
\(999\) | −8.00000 | − | 6.63325i | −0.253109 | − | 0.209867i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))