Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(67,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.h (of order \(3\), degree \(2\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Root | \(-1.22474 - 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.67 |
Dual form | 882.2.h.k.79.1 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 | + | 0.866025i | −0.353553 | + | 0.612372i | ||||
\(3\) | −1.72474 | + | 0.158919i | −0.995782 | + | 0.0917517i | ||||
\(4\) | −0.500000 | − | 0.866025i | −0.250000 | − | 0.433013i | ||||
\(5\) | 3.44949 | 1.54266 | 0.771329 | − | 0.636436i | \(-0.219592\pi\) | ||||
0.771329 | + | 0.636436i | \(0.219592\pi\) | |||||||
\(6\) | 0.724745 | − | 1.57313i | 0.295876 | − | 0.642229i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.94949 | − | 0.548188i | 0.983163 | − | 0.182729i | ||||
\(10\) | −1.72474 | + | 2.98735i | −0.545412 | + | 0.944682i | ||||
\(11\) | 2.00000 | 0.603023 | 0.301511 | − | 0.953463i | \(-0.402509\pi\) | ||||
0.301511 | + | 0.953463i | \(0.402509\pi\) | |||||||
\(12\) | 1.00000 | + | 1.41421i | 0.288675 | + | 0.408248i | ||||
\(13\) | 2.44949 | − | 4.24264i | 0.679366 | − | 1.17670i | −0.295806 | − | 0.955248i | \(-0.595588\pi\) |
0.975172 | − | 0.221449i | \(-0.0710785\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −5.94949 | + | 0.548188i | −1.53615 | + | 0.141542i | ||||
\(16\) | −0.500000 | + | 0.866025i | −0.125000 | + | 0.216506i | ||||
\(17\) | −1.00000 | + | 1.73205i | −0.242536 | + | 0.420084i | −0.961436 | − | 0.275029i | \(-0.911312\pi\) |
0.718900 | + | 0.695113i | \(0.244646\pi\) | |||||||
\(18\) | −1.00000 | + | 2.82843i | −0.235702 | + | 0.666667i | ||||
\(19\) | −3.72474 | − | 6.45145i | −0.854515 | − | 1.48006i | −0.877094 | − | 0.480318i | \(-0.840521\pi\) |
0.0225791 | − | 0.999745i | \(-0.492812\pi\) | |||||||
\(20\) | −1.72474 | − | 2.98735i | −0.385665 | − | 0.667991i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.00000 | + | 1.73205i | −0.213201 | + | 0.369274i | ||||
\(23\) | −1.00000 | −0.208514 | −0.104257 | − | 0.994550i | \(-0.533247\pi\) | ||||
−0.104257 | + | 0.994550i | \(0.533247\pi\) | |||||||
\(24\) | −1.72474 | + | 0.158919i | −0.352062 | + | 0.0324391i | ||||
\(25\) | 6.89898 | 1.37980 | ||||||||
\(26\) | 2.44949 | + | 4.24264i | 0.480384 | + | 0.832050i | ||||
\(27\) | −5.00000 | + | 1.41421i | −0.962250 | + | 0.272166i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.44949 | − | 2.51059i | −0.269163 | − | 0.466205i | 0.699483 | − | 0.714650i | \(-0.253414\pi\) |
−0.968646 | + | 0.248445i | \(0.920081\pi\) | |||||||
\(30\) | 2.50000 | − | 5.42650i | 0.456435 | − | 0.990739i | ||||
\(31\) | −3.00000 | − | 5.19615i | −0.538816 | − | 0.933257i | −0.998968 | − | 0.0454165i | \(-0.985539\pi\) |
0.460152 | − | 0.887840i | \(-0.347795\pi\) | |||||||
\(32\) | −0.500000 | − | 0.866025i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −3.44949 | + | 0.317837i | −0.600479 | + | 0.0553284i | ||||
\(34\) | −1.00000 | − | 1.73205i | −0.171499 | − | 0.297044i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −1.94949 | − | 2.28024i | −0.324915 | − | 0.380040i | ||||
\(37\) | 3.89898 | + | 6.75323i | 0.640988 | + | 1.11022i | 0.985213 | + | 0.171337i | \(0.0548086\pi\) |
−0.344224 | + | 0.938887i | \(0.611858\pi\) | |||||||
\(38\) | 7.44949 | 1.20847 | ||||||||
\(39\) | −3.55051 | + | 7.70674i | −0.568537 | + | 1.23407i | ||||
\(40\) | 3.44949 | 0.545412 | ||||||||
\(41\) | 4.89898 | − | 8.48528i | 0.765092 | − | 1.32518i | −0.175106 | − | 0.984550i | \(-0.556027\pi\) |
0.940198 | − | 0.340629i | \(-0.110640\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 1.44949 | + | 2.51059i | 0.221045 | + | 0.382861i | 0.955126 | − | 0.296201i | \(-0.0957199\pi\) |
−0.734080 | + | 0.679062i | \(0.762387\pi\) | |||||||
\(44\) | −1.00000 | − | 1.73205i | −0.150756 | − | 0.261116i | ||||
\(45\) | 10.1742 | − | 1.89097i | 1.51669 | − | 0.281889i | ||||
\(46\) | 0.500000 | − | 0.866025i | 0.0737210 | − | 0.127688i | ||||
\(47\) | 4.89898 | − | 8.48528i | 0.714590 | − | 1.23771i | −0.248528 | − | 0.968625i | \(-0.579947\pi\) |
0.963118 | − | 0.269081i | \(-0.0867199\pi\) | |||||||
\(48\) | 0.724745 | − | 1.57313i | 0.104608 | − | 0.227062i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −3.44949 | + | 5.97469i | −0.487832 | + | 0.844949i | ||||
\(51\) | 1.44949 | − | 3.14626i | 0.202969 | − | 0.440565i | ||||
\(52\) | −4.89898 | −0.679366 | ||||||||
\(53\) | 0.550510 | − | 0.953512i | 0.0756184 | − | 0.130975i | −0.825737 | − | 0.564056i | \(-0.809240\pi\) |
0.901355 | + | 0.433081i | \(0.142574\pi\) | |||||||
\(54\) | 1.27526 | − | 5.03723i | 0.173540 | − | 0.685481i | ||||
\(55\) | 6.89898 | 0.930258 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 7.44949 | + | 10.5352i | 0.986709 | + | 1.39542i | ||||
\(58\) | 2.89898 | 0.380655 | ||||||||
\(59\) | 1.00000 | + | 1.73205i | 0.130189 | + | 0.225494i | 0.923749 | − | 0.382998i | \(-0.125108\pi\) |
−0.793560 | + | 0.608492i | \(0.791775\pi\) | |||||||
\(60\) | 3.44949 | + | 4.87832i | 0.445327 | + | 0.629788i | ||||
\(61\) | −5.72474 | + | 9.91555i | −0.732978 | + | 1.26956i | 0.222626 | + | 0.974904i | \(0.428537\pi\) |
−0.955605 | + | 0.294652i | \(0.904796\pi\) | |||||||
\(62\) | 6.00000 | 0.762001 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 8.44949 | − | 14.6349i | 1.04803 | − | 1.81524i | ||||
\(66\) | 1.44949 | − | 3.14626i | 0.178420 | − | 0.387278i | ||||
\(67\) | 1.55051 | + | 2.68556i | 0.189425 | + | 0.328094i | 0.945059 | − | 0.326901i | \(-0.106004\pi\) |
−0.755634 | + | 0.654994i | \(0.772671\pi\) | |||||||
\(68\) | 2.00000 | 0.242536 | ||||||||
\(69\) | 1.72474 | − | 0.158919i | 0.207635 | − | 0.0191316i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 9.89898 | 1.17479 | 0.587396 | − | 0.809299i | \(-0.300153\pi\) | ||||
0.587396 | + | 0.809299i | \(0.300153\pi\) | |||||||
\(72\) | 2.94949 | − | 0.548188i | 0.347601 | − | 0.0646046i | ||||
\(73\) | −1.44949 | + | 2.51059i | −0.169650 | + | 0.293842i | −0.938297 | − | 0.345831i | \(-0.887597\pi\) |
0.768647 | + | 0.639673i | \(0.220930\pi\) | |||||||
\(74\) | −7.79796 | −0.906494 | ||||||||
\(75\) | −11.8990 | + | 1.09638i | −1.37398 | + | 0.126599i | ||||
\(76\) | −3.72474 | + | 6.45145i | −0.427258 | + | 0.740032i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −4.89898 | − | 6.92820i | −0.554700 | − | 0.784465i | ||||
\(79\) | −3.94949 | + | 6.84072i | −0.444352 | + | 0.769641i | −0.998007 | − | 0.0631057i | \(-0.979899\pi\) |
0.553655 | + | 0.832746i | \(0.313233\pi\) | |||||||
\(80\) | −1.72474 | + | 2.98735i | −0.192832 | + | 0.333995i | ||||
\(81\) | 8.39898 | − | 3.23375i | 0.933220 | − | 0.359306i | ||||
\(82\) | 4.89898 | + | 8.48528i | 0.541002 | + | 0.937043i | ||||
\(83\) | −1.00000 | − | 1.73205i | −0.109764 | − | 0.190117i | 0.805910 | − | 0.592037i | \(-0.201676\pi\) |
−0.915675 | + | 0.401920i | \(0.868343\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.44949 | + | 5.97469i | −0.374150 | + | 0.648046i | ||||
\(86\) | −2.89898 | −0.312605 | ||||||||
\(87\) | 2.89898 | + | 4.09978i | 0.310803 | + | 0.439542i | ||||
\(88\) | 2.00000 | 0.213201 | ||||||||
\(89\) | 3.55051 | + | 6.14966i | 0.376353 | + | 0.651863i | 0.990529 | − | 0.137307i | \(-0.0438445\pi\) |
−0.614175 | + | 0.789170i | \(0.710511\pi\) | |||||||
\(90\) | −3.44949 | + | 9.75663i | −0.363608 | + | 1.02844i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.500000 | + | 0.866025i | 0.0521286 | + | 0.0902894i | ||||
\(93\) | 6.00000 | + | 8.48528i | 0.622171 | + | 0.879883i | ||||
\(94\) | 4.89898 | + | 8.48528i | 0.505291 | + | 0.875190i | ||||
\(95\) | −12.8485 | − | 22.2542i | −1.31823 | − | 2.28323i | ||||
\(96\) | 1.00000 | + | 1.41421i | 0.102062 | + | 0.144338i | ||||
\(97\) | 3.44949 | + | 5.97469i | 0.350243 | + | 0.606638i | 0.986292 | − | 0.165011i | \(-0.0527658\pi\) |
−0.636049 | + | 0.771649i | \(0.719432\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 5.89898 | − | 1.09638i | 0.592870 | − | 0.110190i | ||||
\(100\) | −3.44949 | − | 5.97469i | −0.344949 | − | 0.597469i | ||||
\(101\) | 7.24745 | 0.721148 | 0.360574 | − | 0.932731i | \(-0.382581\pi\) | ||||
0.360574 | + | 0.932731i | \(0.382581\pi\) | |||||||
\(102\) | 2.00000 | + | 2.82843i | 0.198030 | + | 0.280056i | ||||
\(103\) | 14.0000 | 1.37946 | 0.689730 | − | 0.724066i | \(-0.257729\pi\) | ||||
0.689730 | + | 0.724066i | \(0.257729\pi\) | |||||||
\(104\) | 2.44949 | − | 4.24264i | 0.240192 | − | 0.416025i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.550510 | + | 0.953512i | 0.0534703 | + | 0.0926132i | ||||
\(107\) | 6.00000 | + | 10.3923i | 0.580042 | + | 1.00466i | 0.995474 | + | 0.0950377i | \(0.0302972\pi\) |
−0.415432 | + | 0.909624i | \(0.636370\pi\) | |||||||
\(108\) | 3.72474 | + | 3.62302i | 0.358414 | + | 0.348625i | ||||
\(109\) | 8.34847 | − | 14.4600i | 0.799638 | − | 1.38501i | −0.120213 | − | 0.992748i | \(-0.538358\pi\) |
0.919852 | − | 0.392266i | \(-0.128309\pi\) | |||||||
\(110\) | −3.44949 | + | 5.97469i | −0.328896 | + | 0.569664i | ||||
\(111\) | −7.79796 | − | 11.0280i | −0.740150 | − | 1.04673i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.94949 | − | 13.7689i | 0.747825 | − | 1.29527i | −0.201038 | − | 0.979583i | \(-0.564431\pi\) |
0.948863 | − | 0.315688i | \(-0.102235\pi\) | |||||||
\(114\) | −12.8485 | + | 1.18386i | −1.20337 | + | 0.110879i | ||||
\(115\) | −3.44949 | −0.321667 | ||||||||
\(116\) | −1.44949 | + | 2.51059i | −0.134582 | + | 0.233102i | ||||
\(117\) | 4.89898 | − | 13.8564i | 0.452911 | − | 1.28103i | ||||
\(118\) | −2.00000 | −0.184115 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −5.94949 | + | 0.548188i | −0.543112 | + | 0.0500425i | ||||
\(121\) | −7.00000 | −0.636364 | ||||||||
\(122\) | −5.72474 | − | 9.91555i | −0.518294 | − | 0.897712i | ||||
\(123\) | −7.10102 | + | 15.4135i | −0.640277 | + | 1.38979i | ||||
\(124\) | −3.00000 | + | 5.19615i | −0.269408 | + | 0.466628i | ||||
\(125\) | 6.55051 | 0.585895 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.00000 | −0.266207 | −0.133103 | − | 0.991102i | \(-0.542494\pi\) | ||||
−0.133103 | + | 0.991102i | \(0.542494\pi\) | |||||||
\(128\) | −0.500000 | + | 0.866025i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −2.89898 | − | 4.09978i | −0.255241 | − | 0.360965i | ||||
\(130\) | 8.44949 | + | 14.6349i | 0.741069 | + | 1.28357i | ||||
\(131\) | −13.4495 | −1.17509 | −0.587544 | − | 0.809192i | \(-0.699905\pi\) | ||||
−0.587544 | + | 0.809192i | \(0.699905\pi\) | |||||||
\(132\) | 2.00000 | + | 2.82843i | 0.174078 | + | 0.246183i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −3.10102 | −0.267887 | ||||||||
\(135\) | −17.2474 | + | 4.87832i | −1.48442 | + | 0.419859i | ||||
\(136\) | −1.00000 | + | 1.73205i | −0.0857493 | + | 0.148522i | ||||
\(137\) | −11.7980 | −1.00797 | −0.503984 | − | 0.863713i | \(-0.668133\pi\) | ||||
−0.503984 | + | 0.863713i | \(0.668133\pi\) | |||||||
\(138\) | −0.724745 | + | 1.57313i | −0.0616944 | + | 0.133914i | ||||
\(139\) | −4.72474 | + | 8.18350i | −0.400748 | + | 0.694115i | −0.993816 | − | 0.111037i | \(-0.964583\pi\) |
0.593069 | + | 0.805152i | \(0.297916\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −7.10102 | + | 15.4135i | −0.598014 | + | 1.29805i | ||||
\(142\) | −4.94949 | + | 8.57277i | −0.415352 | + | 0.719411i | ||||
\(143\) | 4.89898 | − | 8.48528i | 0.409673 | − | 0.709575i | ||||
\(144\) | −1.00000 | + | 2.82843i | −0.0833333 | + | 0.235702i | ||||
\(145\) | −5.00000 | − | 8.66025i | −0.415227 | − | 0.719195i | ||||
\(146\) | −1.44949 | − | 2.51059i | −0.119961 | − | 0.207778i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 3.89898 | − | 6.75323i | 0.320494 | − | 0.555112i | ||||
\(149\) | −6.00000 | −0.491539 | −0.245770 | − | 0.969328i | \(-0.579041\pi\) | ||||
−0.245770 | + | 0.969328i | \(0.579041\pi\) | |||||||
\(150\) | 5.00000 | − | 10.8530i | 0.408248 | − | 0.886144i | ||||
\(151\) | −5.00000 | −0.406894 | −0.203447 | − | 0.979086i | \(-0.565214\pi\) | ||||
−0.203447 | + | 0.979086i | \(0.565214\pi\) | |||||||
\(152\) | −3.72474 | − | 6.45145i | −0.302117 | − | 0.523281i | ||||
\(153\) | −2.00000 | + | 5.65685i | −0.161690 | + | 0.457330i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −10.3485 | − | 17.9241i | −0.831209 | − | 1.43970i | ||||
\(156\) | 8.44949 | − | 0.778539i | 0.676501 | − | 0.0623330i | ||||
\(157\) | −3.17423 | − | 5.49794i | −0.253332 | − | 0.438783i | 0.711109 | − | 0.703081i | \(-0.248193\pi\) |
−0.964441 | + | 0.264298i | \(0.914860\pi\) | |||||||
\(158\) | −3.94949 | − | 6.84072i | −0.314205 | − | 0.544218i | ||||
\(159\) | −0.797959 | + | 1.73205i | −0.0632823 | + | 0.137361i | ||||
\(160\) | −1.72474 | − | 2.98735i | −0.136353 | − | 0.236170i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1.39898 | + | 8.89060i | −0.109914 | + | 0.698512i | ||||
\(163\) | 0.101021 | + | 0.174973i | 0.00791254 | + | 0.0137049i | 0.869955 | − | 0.493132i | \(-0.164148\pi\) |
−0.862042 | + | 0.506837i | \(0.830815\pi\) | |||||||
\(164\) | −9.79796 | −0.765092 | ||||||||
\(165\) | −11.8990 | + | 1.09638i | −0.926334 | + | 0.0853528i | ||||
\(166\) | 2.00000 | 0.155230 | ||||||||
\(167\) | −9.34847 | + | 16.1920i | −0.723406 | + | 1.25298i | 0.236220 | + | 0.971700i | \(0.424091\pi\) |
−0.959627 | + | 0.281277i | \(0.909242\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.50000 | − | 9.52628i | −0.423077 | − | 0.732791i | ||||
\(170\) | −3.44949 | − | 5.97469i | −0.264564 | − | 0.458238i | ||||
\(171\) | −14.5227 | − | 16.9866i | −1.11058 | − | 1.29900i | ||||
\(172\) | 1.44949 | − | 2.51059i | 0.110523 | − | 0.191431i | ||||
\(173\) | 6.44949 | − | 11.1708i | 0.490346 | − | 0.849304i | −0.509593 | − | 0.860416i | \(-0.670204\pi\) |
0.999938 | + | 0.0111123i | \(0.00353722\pi\) | |||||||
\(174\) | −5.00000 | + | 0.460702i | −0.379049 | + | 0.0349257i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.00000 | + | 1.73205i | −0.0753778 | + | 0.130558i | ||||
\(177\) | −2.00000 | − | 2.82843i | −0.150329 | − | 0.212598i | ||||
\(178\) | −7.10102 | −0.532244 | ||||||||
\(179\) | 4.34847 | − | 7.53177i | 0.325020 | − | 0.562951i | −0.656497 | − | 0.754329i | \(-0.727962\pi\) |
0.981516 | + | 0.191378i | \(0.0612957\pi\) | |||||||
\(180\) | −6.72474 | − | 7.86566i | −0.501233 | − | 0.586272i | ||||
\(181\) | 4.34847 | 0.323219 | 0.161610 | − | 0.986855i | \(-0.448331\pi\) | ||||
0.161610 | + | 0.986855i | \(0.448331\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 8.29796 | − | 18.0116i | 0.613403 | − | 1.33145i | ||||
\(184\) | −1.00000 | −0.0737210 | ||||||||
\(185\) | 13.4495 | + | 23.2952i | 0.988826 | + | 1.71270i | ||||
\(186\) | −10.3485 | + | 0.953512i | −0.758787 | + | 0.0699149i | ||||
\(187\) | −2.00000 | + | 3.46410i | −0.146254 | + | 0.253320i | ||||
\(188\) | −9.79796 | −0.714590 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 25.6969 | 1.86425 | ||||||||
\(191\) | −6.94949 | + | 12.0369i | −0.502847 | + | 0.870957i | 0.497147 | + | 0.867666i | \(0.334381\pi\) |
−0.999995 | + | 0.00329106i | \(0.998952\pi\) | |||||||
\(192\) | −1.72474 | + | 0.158919i | −0.124473 | + | 0.0114690i | ||||
\(193\) | 4.05051 | + | 7.01569i | 0.291562 | + | 0.505000i | 0.974179 | − | 0.225776i | \(-0.0724917\pi\) |
−0.682617 | + | 0.730776i | \(0.739158\pi\) | |||||||
\(194\) | −6.89898 | −0.495318 | ||||||||
\(195\) | −12.2474 | + | 26.5843i | −0.877058 | + | 1.90374i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −12.6969 | −0.904619 | −0.452310 | − | 0.891861i | \(-0.649400\pi\) | ||||
−0.452310 | + | 0.891861i | \(0.649400\pi\) | |||||||
\(198\) | −2.00000 | + | 5.65685i | −0.142134 | + | 0.402015i | ||||
\(199\) | −3.44949 | + | 5.97469i | −0.244528 | + | 0.423535i | −0.961999 | − | 0.273054i | \(-0.911966\pi\) |
0.717471 | + | 0.696588i | \(0.245300\pi\) | |||||||
\(200\) | 6.89898 | 0.487832 | ||||||||
\(201\) | −3.10102 | − | 4.38551i | −0.218729 | − | 0.309330i | ||||
\(202\) | −3.62372 | + | 6.27647i | −0.254964 | + | 0.441611i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −3.44949 | + | 0.317837i | −0.241513 | + | 0.0222531i | ||||
\(205\) | 16.8990 | − | 29.2699i | 1.18028 | − | 2.04430i | ||||
\(206\) | −7.00000 | + | 12.1244i | −0.487713 | + | 0.844744i | ||||
\(207\) | −2.94949 | + | 0.548188i | −0.205004 | + | 0.0381017i | ||||
\(208\) | 2.44949 | + | 4.24264i | 0.169842 | + | 0.294174i | ||||
\(209\) | −7.44949 | − | 12.9029i | −0.515292 | − | 0.892512i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.55051 | + | 2.68556i | −0.106742 | + | 0.184882i | −0.914448 | − | 0.404703i | \(-0.867375\pi\) |
0.807707 | + | 0.589584i | \(0.200708\pi\) | |||||||
\(212\) | −1.10102 | −0.0756184 | ||||||||
\(213\) | −17.0732 | + | 1.57313i | −1.16984 | + | 0.107789i | ||||
\(214\) | −12.0000 | −0.820303 | ||||||||
\(215\) | 5.00000 | + | 8.66025i | 0.340997 | + | 0.590624i | ||||
\(216\) | −5.00000 | + | 1.41421i | −0.340207 | + | 0.0962250i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 8.34847 | + | 14.4600i | 0.565430 | + | 0.979353i | ||||
\(219\) | 2.10102 | − | 4.56048i | 0.141974 | − | 0.308169i | ||||
\(220\) | −3.44949 | − | 5.97469i | −0.232565 | − | 0.402814i | ||||
\(221\) | 4.89898 | + | 8.48528i | 0.329541 | + | 0.570782i | ||||
\(222\) | 13.4495 | − | 1.23924i | 0.902671 | − | 0.0831724i | ||||
\(223\) | 10.4495 | + | 18.0990i | 0.699750 | + | 1.21200i | 0.968553 | + | 0.248807i | \(0.0800384\pi\) |
−0.268804 | + | 0.963195i | \(0.586628\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 20.3485 | − | 3.78194i | 1.35656 | − | 0.252129i | ||||
\(226\) | 7.94949 | + | 13.7689i | 0.528792 | + | 0.915895i | ||||
\(227\) | −0.550510 | −0.0365386 | −0.0182693 | − | 0.999833i | \(-0.505816\pi\) | ||||
−0.0182693 | + | 0.999833i | \(0.505816\pi\) | |||||||
\(228\) | 5.39898 | − | 11.7190i | 0.357556 | − | 0.776112i | ||||
\(229\) | −23.2474 | −1.53623 | −0.768117 | − | 0.640309i | \(-0.778806\pi\) | ||||
−0.768117 | + | 0.640309i | \(0.778806\pi\) | |||||||
\(230\) | 1.72474 | − | 2.98735i | 0.113726 | − | 0.196980i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −1.44949 | − | 2.51059i | −0.0951637 | − | 0.164828i | ||||
\(233\) | 3.50000 | + | 6.06218i | 0.229293 | + | 0.397146i | 0.957599 | − | 0.288106i | \(-0.0930254\pi\) |
−0.728306 | + | 0.685252i | \(0.759692\pi\) | |||||||
\(234\) | 9.55051 | + | 11.1708i | 0.624336 | + | 0.730261i | ||||
\(235\) | 16.8990 | − | 29.2699i | 1.10237 | − | 1.90936i | ||||
\(236\) | 1.00000 | − | 1.73205i | 0.0650945 | − | 0.112747i | ||||
\(237\) | 5.72474 | − | 12.4261i | 0.371862 | − | 0.807164i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 6.39898 | − | 11.0834i | 0.413916 | − | 0.716923i | −0.581398 | − | 0.813619i | \(-0.697494\pi\) |
0.995314 | + | 0.0966962i | \(0.0308275\pi\) | |||||||
\(240\) | 2.50000 | − | 5.42650i | 0.161374 | − | 0.350279i | ||||
\(241\) | −8.89898 | −0.573234 | −0.286617 | − | 0.958045i | \(-0.592531\pi\) | ||||
−0.286617 | + | 0.958045i | \(0.592531\pi\) | |||||||
\(242\) | 3.50000 | − | 6.06218i | 0.224989 | − | 0.389692i | ||||
\(243\) | −13.9722 | + | 6.91215i | −0.896317 | + | 0.443415i | ||||
\(244\) | 11.4495 | 0.732978 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −9.79796 | − | 13.8564i | −0.624695 | − | 0.883452i | ||||
\(247\) | −36.4949 | −2.32211 | ||||||||
\(248\) | −3.00000 | − | 5.19615i | −0.190500 | − | 0.329956i | ||||
\(249\) | 2.00000 | + | 2.82843i | 0.126745 | + | 0.179244i | ||||
\(250\) | −3.27526 | + | 5.67291i | −0.207145 | + | 0.358786i | ||||
\(251\) | 12.5505 | 0.792181 | 0.396091 | − | 0.918211i | \(-0.370367\pi\) | ||||
0.396091 | + | 0.918211i | \(0.370367\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.00000 | −0.125739 | ||||||||
\(254\) | 1.50000 | − | 2.59808i | 0.0941184 | − | 0.163018i | ||||
\(255\) | 5.00000 | − | 10.8530i | 0.313112 | − | 0.679642i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 27.7980 | 1.73399 | 0.866995 | − | 0.498318i | \(-0.166049\pi\) | ||||
0.866995 | + | 0.498318i | \(0.166049\pi\) | |||||||
\(258\) | 5.00000 | − | 0.460702i | 0.311286 | − | 0.0286820i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −16.8990 | −1.04803 | ||||||||
\(261\) | −5.65153 | − | 6.61037i | −0.349821 | − | 0.409171i | ||||
\(262\) | 6.72474 | − | 11.6476i | 0.415456 | − | 0.719591i | ||||
\(263\) | 16.1010 | 0.992831 | 0.496416 | − | 0.868085i | \(-0.334649\pi\) | ||||
0.496416 | + | 0.868085i | \(0.334649\pi\) | |||||||
\(264\) | −3.44949 | + | 0.317837i | −0.212301 | + | 0.0195615i | ||||
\(265\) | 1.89898 | − | 3.28913i | 0.116653 | − | 0.202050i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.10102 | − | 10.0424i | −0.434575 | − | 0.614582i | ||||
\(268\) | 1.55051 | − | 2.68556i | 0.0947125 | − | 0.164047i | ||||
\(269\) | 1.82577 | − | 3.16232i | 0.111319 | − | 0.192810i | −0.804983 | − | 0.593297i | \(-0.797826\pi\) |
0.916302 | + | 0.400487i | \(0.131159\pi\) | |||||||
\(270\) | 4.39898 | − | 17.3759i | 0.267713 | − | 1.05746i | ||||
\(271\) | −8.44949 | − | 14.6349i | −0.513270 | − | 0.889010i | −0.999882 | − | 0.0153912i | \(-0.995101\pi\) |
0.486612 | − | 0.873618i | \(-0.338233\pi\) | |||||||
\(272\) | −1.00000 | − | 1.73205i | −0.0606339 | − | 0.105021i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 5.89898 | − | 10.2173i | 0.356370 | − | 0.617252i | ||||
\(275\) | 13.7980 | 0.832048 | ||||||||
\(276\) | −1.00000 | − | 1.41421i | −0.0601929 | − | 0.0851257i | ||||
\(277\) | 10.6969 | 0.642717 | 0.321358 | − | 0.946958i | \(-0.395861\pi\) | ||||
0.321358 | + | 0.946958i | \(0.395861\pi\) | |||||||
\(278\) | −4.72474 | − | 8.18350i | −0.283371 | − | 0.490814i | ||||
\(279\) | −11.6969 | − | 13.6814i | −0.700277 | − | 0.819086i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.50000 | + | 16.4545i | 0.566722 | + | 0.981592i | 0.996887 | + | 0.0788417i | \(0.0251222\pi\) |
−0.430165 | + | 0.902750i | \(0.641545\pi\) | |||||||
\(282\) | −9.79796 | − | 13.8564i | −0.583460 | − | 0.825137i | ||||
\(283\) | 10.2753 | + | 17.7973i | 0.610801 | + | 1.05794i | 0.991106 | + | 0.133077i | \(0.0424856\pi\) |
−0.380305 | + | 0.924861i | \(0.624181\pi\) | |||||||
\(284\) | −4.94949 | − | 8.57277i | −0.293698 | − | 0.508700i | ||||
\(285\) | 25.6969 | + | 36.3410i | 1.52216 | + | 2.15265i | ||||
\(286\) | 4.89898 | + | 8.48528i | 0.289683 | + | 0.501745i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −1.94949 | − | 2.28024i | −0.114875 | − | 0.134364i | ||||
\(289\) | 6.50000 | + | 11.2583i | 0.382353 | + | 0.662255i | ||||
\(290\) | 10.0000 | 0.587220 | ||||||||
\(291\) | −6.89898 | − | 9.75663i | −0.404425 | − | 0.571944i | ||||
\(292\) | 2.89898 | 0.169650 | ||||||||
\(293\) | −13.6237 | + | 23.5970i | −0.795906 | + | 1.37855i | 0.126356 | + | 0.991985i | \(0.459672\pi\) |
−0.922262 | + | 0.386565i | \(0.873661\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.44949 | + | 5.97469i | 0.200837 | + | 0.347860i | ||||
\(296\) | 3.89898 | + | 6.75323i | 0.226624 | + | 0.392524i | ||||
\(297\) | −10.0000 | + | 2.82843i | −0.580259 | + | 0.164122i | ||||
\(298\) | 3.00000 | − | 5.19615i | 0.173785 | − | 0.301005i | ||||
\(299\) | −2.44949 | + | 4.24264i | −0.141658 | + | 0.245358i | ||||
\(300\) | 6.89898 | + | 9.75663i | 0.398313 | + | 0.563299i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.50000 | − | 4.33013i | 0.143859 | − | 0.249171i | ||||
\(303\) | −12.5000 | + | 1.15175i | −0.718106 | + | 0.0661666i | ||||
\(304\) | 7.44949 | 0.427258 | ||||||||
\(305\) | −19.7474 | + | 34.2036i | −1.13074 | + | 1.95849i | ||||
\(306\) | −3.89898 | − | 4.56048i | −0.222890 | − | 0.260705i | ||||
\(307\) | 0.752551 | 0.0429504 | 0.0214752 | − | 0.999769i | \(-0.493164\pi\) | ||||
0.0214752 | + | 0.999769i | \(0.493164\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −24.1464 | + | 2.22486i | −1.37364 | + | 0.126568i | ||||
\(310\) | 20.6969 | 1.17551 | ||||||||
\(311\) | −0.651531 | − | 1.12848i | −0.0369449 | − | 0.0639905i | 0.846962 | − | 0.531654i | \(-0.178429\pi\) |
−0.883907 | + | 0.467663i | \(0.845096\pi\) | |||||||
\(312\) | −3.55051 | + | 7.70674i | −0.201008 | + | 0.436308i | ||||
\(313\) | −12.3485 | + | 21.3882i | −0.697977 | + | 1.20893i | 0.271190 | + | 0.962526i | \(0.412583\pi\) |
−0.969167 | + | 0.246405i | \(0.920751\pi\) | |||||||
\(314\) | 6.34847 | 0.358265 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 7.89898 | 0.444352 | ||||||||
\(317\) | 4.34847 | − | 7.53177i | 0.244234 | − | 0.423026i | −0.717682 | − | 0.696371i | \(-0.754797\pi\) |
0.961916 | + | 0.273345i | \(0.0881300\pi\) | |||||||
\(318\) | −1.10102 | − | 1.55708i | −0.0617422 | − | 0.0873166i | ||||
\(319\) | −2.89898 | − | 5.02118i | −0.162312 | − | 0.281132i | ||||
\(320\) | 3.44949 | 0.192832 | ||||||||
\(321\) | −12.0000 | − | 16.9706i | −0.669775 | − | 0.947204i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 14.8990 | 0.829001 | ||||||||
\(324\) | −7.00000 | − | 5.65685i | −0.388889 | − | 0.314270i | ||||
\(325\) | 16.8990 | − | 29.2699i | 0.937387 | − | 1.62360i | ||||
\(326\) | −0.202041 | −0.0111900 | ||||||||
\(327\) | −12.1010 | + | 26.2665i | −0.669188 | + | 1.45254i | ||||
\(328\) | 4.89898 | − | 8.48528i | 0.270501 | − | 0.468521i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 5.00000 | − | 10.8530i | 0.275241 | − | 0.597438i | ||||
\(331\) | 12.3485 | − | 21.3882i | 0.678733 | − | 1.17560i | −0.296629 | − | 0.954993i | \(-0.595863\pi\) |
0.975363 | − | 0.220608i | \(-0.0708041\pi\) | |||||||
\(332\) | −1.00000 | + | 1.73205i | −0.0548821 | + | 0.0950586i | ||||
\(333\) | 15.2020 | + | 17.7812i | 0.833067 | + | 0.974404i | ||||
\(334\) | −9.34847 | − | 16.1920i | −0.511525 | − | 0.885988i | ||||
\(335\) | 5.34847 | + | 9.26382i | 0.292218 | + | 0.506137i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.6969 | + | 30.6520i | −0.964014 | + | 1.66972i | −0.251772 | + | 0.967787i | \(0.581013\pi\) |
−0.712242 | + | 0.701934i | \(0.752320\pi\) | |||||||
\(338\) | 11.0000 | 0.598321 | ||||||||
\(339\) | −11.5227 | + | 25.0112i | −0.625827 | + | 1.35842i | ||||
\(340\) | 6.89898 | 0.374150 | ||||||||
\(341\) | −6.00000 | − | 10.3923i | −0.324918 | − | 0.562775i | ||||
\(342\) | 21.9722 | − | 4.08372i | 1.18812 | − | 0.220822i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 1.44949 | + | 2.51059i | 0.0781512 | + | 0.135362i | ||||
\(345\) | 5.94949 | − | 0.548188i | 0.320310 | − | 0.0295135i | ||||
\(346\) | 6.44949 | + | 11.1708i | 0.346727 | + | 0.600548i | ||||
\(347\) | 9.79796 | + | 16.9706i | 0.525982 | + | 0.911028i | 0.999542 | + | 0.0302659i | \(0.00963541\pi\) |
−0.473560 | + | 0.880762i | \(0.657031\pi\) | |||||||
\(348\) | 2.10102 | − | 4.56048i | 0.112627 | − | 0.244467i | ||||
\(349\) | −10.4495 | − | 18.0990i | −0.559348 | − | 0.968820i | −0.997551 | − | 0.0699435i | \(-0.977718\pi\) |
0.438203 | − | 0.898876i | \(-0.355615\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −6.24745 | + | 24.6773i | −0.333464 | + | 1.31718i | ||||
\(352\) | −1.00000 | − | 1.73205i | −0.0533002 | − | 0.0923186i | ||||
\(353\) | −6.00000 | −0.319348 | −0.159674 | − | 0.987170i | \(-0.551044\pi\) | ||||
−0.159674 | + | 0.987170i | \(0.551044\pi\) | |||||||
\(354\) | 3.44949 | − | 0.317837i | 0.183338 | − | 0.0168929i | ||||
\(355\) | 34.1464 | 1.81230 | ||||||||
\(356\) | 3.55051 | − | 6.14966i | 0.188177 | − | 0.325932i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.34847 | + | 7.53177i | 0.229824 | + | 0.398066i | ||||
\(359\) | −5.39898 | − | 9.35131i | −0.284947 | − | 0.493543i | 0.687649 | − | 0.726043i | \(-0.258643\pi\) |
−0.972596 | + | 0.232500i | \(0.925309\pi\) | |||||||
\(360\) | 10.1742 | − | 1.89097i | 0.536229 | − | 0.0996628i | ||||
\(361\) | −18.2474 | + | 31.6055i | −0.960392 | + | 1.66345i | ||||
\(362\) | −2.17423 | + | 3.76588i | −0.114275 | + | 0.197931i | ||||
\(363\) | 12.0732 | − | 1.11243i | 0.633679 | − | 0.0583875i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.00000 | + | 8.66025i | −0.261712 | + | 0.453298i | ||||
\(366\) | 11.4495 | + | 16.1920i | 0.598474 | + | 0.846371i | ||||
\(367\) | 5.79796 | 0.302651 | 0.151325 | − | 0.988484i | \(-0.451646\pi\) | ||||
0.151325 | + | 0.988484i | \(0.451646\pi\) | |||||||
\(368\) | 0.500000 | − | 0.866025i | 0.0260643 | − | 0.0451447i | ||||
\(369\) | 9.79796 | − | 27.7128i | 0.510061 | − | 1.44267i | ||||
\(370\) | −26.8990 | −1.39841 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 4.34847 | − | 9.43879i | 0.225458 | − | 0.489379i | ||||
\(373\) | 2.89898 | 0.150103 | 0.0750517 | − | 0.997180i | \(-0.476088\pi\) | ||||
0.0750517 | + | 0.997180i | \(0.476088\pi\) | |||||||
\(374\) | −2.00000 | − | 3.46410i | −0.103418 | − | 0.179124i | ||||
\(375\) | −11.2980 | + | 1.04100i | −0.583424 | + | 0.0537569i | ||||
\(376\) | 4.89898 | − | 8.48528i | 0.252646 | − | 0.437595i | ||||
\(377\) | −14.2020 | −0.731442 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −26.4949 | −1.36095 | −0.680476 | − | 0.732771i | \(-0.738227\pi\) | ||||
−0.680476 | + | 0.732771i | \(0.738227\pi\) | |||||||
\(380\) | −12.8485 | + | 22.2542i | −0.659113 | + | 1.14162i | ||||
\(381\) | 5.17423 | − | 0.476756i | 0.265084 | − | 0.0244249i | ||||
\(382\) | −6.94949 | − | 12.0369i | −0.355567 | − | 0.615860i | ||||
\(383\) | 6.89898 | 0.352521 | 0.176261 | − | 0.984344i | \(-0.443600\pi\) | ||||
0.176261 | + | 0.984344i | \(0.443600\pi\) | |||||||
\(384\) | 0.724745 | − | 1.57313i | 0.0369845 | − | 0.0802786i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −8.10102 | −0.412331 | ||||||||
\(387\) | 5.65153 | + | 6.61037i | 0.287283 | + | 0.336024i | ||||
\(388\) | 3.44949 | − | 5.97469i | 0.175121 | − | 0.303319i | ||||
\(389\) | −15.1010 | −0.765652 | −0.382826 | − | 0.923820i | \(-0.625049\pi\) | ||||
−0.382826 | + | 0.923820i | \(0.625049\pi\) | |||||||
\(390\) | −16.8990 | − | 23.8988i | −0.855713 | − | 1.21016i | ||||
\(391\) | 1.00000 | − | 1.73205i | 0.0505722 | − | 0.0875936i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 23.1969 | − | 2.13737i | 1.17013 | − | 0.107816i | ||||
\(394\) | 6.34847 | − | 10.9959i | 0.319831 | − | 0.553964i | ||||
\(395\) | −13.6237 | + | 23.5970i | −0.685484 | + | 1.18729i | ||||
\(396\) | −3.89898 | − | 4.56048i | −0.195931 | − | 0.229173i | ||||
\(397\) | −4.65153 | − | 8.05669i | −0.233454 | − | 0.404354i | 0.725369 | − | 0.688361i | \(-0.241669\pi\) |
−0.958822 | + | 0.284007i | \(0.908336\pi\) | |||||||
\(398\) | −3.44949 | − | 5.97469i | −0.172907 | − | 0.299484i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.44949 | + | 5.97469i | −0.172474 | + | 0.298735i | ||||
\(401\) | −10.1010 | −0.504421 | −0.252210 | − | 0.967672i | \(-0.581158\pi\) | ||||
−0.252210 | + | 0.967672i | \(0.581158\pi\) | |||||||
\(402\) | 5.34847 | − | 0.492810i | 0.266757 | − | 0.0245791i | ||||
\(403\) | −29.3939 | −1.46421 | ||||||||
\(404\) | −3.62372 | − | 6.27647i | −0.180287 | − | 0.312266i | ||||
\(405\) | 28.9722 | − | 11.1548i | 1.43964 | − | 0.554286i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 7.79796 | + | 13.5065i | 0.386530 | + | 0.669490i | ||||
\(408\) | 1.44949 | − | 3.14626i | 0.0717604 | − | 0.155763i | ||||
\(409\) | −2.89898 | − | 5.02118i | −0.143345 | − | 0.248281i | 0.785409 | − | 0.618977i | \(-0.212453\pi\) |
−0.928754 | + | 0.370696i | \(0.879119\pi\) | |||||||
\(410\) | 16.8990 | + | 29.2699i | 0.834581 | + | 1.44554i | ||||
\(411\) | 20.3485 | − | 1.87492i | 1.00372 | − | 0.0924828i | ||||
\(412\) | −7.00000 | − | 12.1244i | −0.344865 | − | 0.597324i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 1.00000 | − | 2.82843i | 0.0491473 | − | 0.139010i | ||||
\(415\) | −3.44949 | − | 5.97469i | −0.169329 | − | 0.293286i | ||||
\(416\) | −4.89898 | −0.240192 | ||||||||
\(417\) | 6.84847 | − | 14.8653i | 0.335371 | − | 0.727957i | ||||
\(418\) | 14.8990 | 0.728733 | ||||||||
\(419\) | −12.2753 | + | 21.2614i | −0.599685 | + | 1.03869i | 0.393182 | + | 0.919461i | \(0.371374\pi\) |
−0.992867 | + | 0.119225i | \(0.961959\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −6.55051 | − | 11.3458i | −0.319252 | − | 0.552961i | 0.661080 | − | 0.750316i | \(-0.270098\pi\) |
−0.980332 | + | 0.197354i | \(0.936765\pi\) | |||||||
\(422\) | −1.55051 | − | 2.68556i | −0.0754777 | − | 0.130731i | ||||
\(423\) | 9.79796 | − | 27.7128i | 0.476393 | − | 1.34744i | ||||
\(424\) | 0.550510 | − | 0.953512i | 0.0267351 | − | 0.0463066i | ||||
\(425\) | −6.89898 | + | 11.9494i | −0.334650 | + | 0.579630i | ||||
\(426\) | 7.17423 | − | 15.5724i | 0.347593 | − | 0.754485i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 6.00000 | − | 10.3923i | 0.290021 | − | 0.502331i | ||||
\(429\) | −7.10102 | + | 15.4135i | −0.342841 | + | 0.744170i | ||||
\(430\) | −10.0000 | −0.482243 | ||||||||
\(431\) | 3.79796 | − | 6.57826i | 0.182941 | − | 0.316864i | −0.759940 | − | 0.649994i | \(-0.774772\pi\) |
0.942881 | + | 0.333130i | \(0.108105\pi\) | |||||||
\(432\) | 1.27526 | − | 5.03723i | 0.0613557 | − | 0.242354i | ||||
\(433\) | 11.7980 | 0.566974 | 0.283487 | − | 0.958976i | \(-0.408509\pi\) | ||||
0.283487 | + | 0.958976i | \(0.408509\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.0000 | + | 14.1421i | 0.479463 | + | 0.678064i | ||||
\(436\) | −16.6969 | −0.799638 | ||||||||
\(437\) | 3.72474 | + | 6.45145i | 0.178179 | + | 0.308615i | ||||
\(438\) | 2.89898 | + | 4.09978i | 0.138519 | + | 0.195895i | ||||
\(439\) | −10.8990 | + | 18.8776i | −0.520180 | + | 0.900978i | 0.479545 | + | 0.877517i | \(0.340802\pi\) |
−0.999725 | + | 0.0234607i | \(0.992532\pi\) | |||||||
\(440\) | 6.89898 | 0.328896 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −9.79796 | −0.466041 | ||||||||
\(443\) | 2.55051 | − | 4.41761i | 0.121178 | − | 0.209887i | −0.799054 | − | 0.601259i | \(-0.794666\pi\) |
0.920233 | + | 0.391372i | \(0.127999\pi\) | |||||||
\(444\) | −5.65153 | + | 12.2672i | −0.268210 | + | 0.582177i | ||||
\(445\) | 12.2474 | + | 21.2132i | 0.580585 | + | 1.00560i | ||||
\(446\) | −20.8990 | −0.989595 | ||||||||
\(447\) | 10.3485 | − | 0.953512i | 0.489466 | − | 0.0450996i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −18.5959 | −0.877596 | −0.438798 | − | 0.898586i | \(-0.644596\pi\) | ||||
−0.438798 | + | 0.898586i | \(0.644596\pi\) | |||||||
\(450\) | −6.89898 | + | 19.5133i | −0.325221 | + | 0.919864i | ||||
\(451\) | 9.79796 | − | 16.9706i | 0.461368 | − | 0.799113i | ||||
\(452\) | −15.8990 | −0.747825 | ||||||||
\(453\) | 8.62372 | − | 0.794593i | 0.405178 | − | 0.0373332i | ||||
\(454\) | 0.275255 | − | 0.476756i | 0.0129184 | − | 0.0223753i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 7.44949 | + | 10.5352i | 0.348854 | + | 0.493355i | ||||
\(457\) | −15.7474 | + | 27.2754i | −0.736635 | + | 1.27589i | 0.217368 | + | 0.976090i | \(0.430253\pi\) |
−0.954002 | + | 0.299799i | \(0.903080\pi\) | |||||||
\(458\) | 11.6237 | − | 20.1329i | 0.543141 | − | 0.940748i | ||||
\(459\) | 2.55051 | − | 10.0745i | 0.119048 | − | 0.470236i | ||||
\(460\) | 1.72474 | + | 2.98735i | 0.0804166 | + | 0.139286i | ||||
\(461\) | −10.1742 | − | 17.6223i | −0.473861 | − | 0.820752i | 0.525691 | − | 0.850676i | \(-0.323807\pi\) |
−0.999552 | + | 0.0299238i | \(0.990474\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.8485 | − | 22.2542i | 0.597119 | − | 1.03424i | −0.396125 | − | 0.918197i | \(-0.629645\pi\) |
0.993244 | − | 0.116044i | \(-0.0370213\pi\) | |||||||
\(464\) | 2.89898 | 0.134582 | ||||||||
\(465\) | 20.6969 | + | 29.2699i | 0.959798 | + | 1.35736i | ||||
\(466\) | −7.00000 | −0.324269 | ||||||||
\(467\) | −5.00000 | − | 8.66025i | −0.231372 | − | 0.400749i | 0.726840 | − | 0.686807i | \(-0.240988\pi\) |
−0.958212 | + | 0.286058i | \(0.907655\pi\) | |||||||
\(468\) | −14.4495 | + | 2.68556i | −0.667928 | + | 0.124140i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 16.8990 | + | 29.2699i | 0.779492 | + | 1.35012i | ||||
\(471\) | 6.34847 | + | 8.97809i | 0.292522 | + | 0.413689i | ||||
\(472\) | 1.00000 | + | 1.73205i | 0.0460287 | + | 0.0797241i | ||||
\(473\) | 2.89898 | + | 5.02118i | 0.133295 | + | 0.230874i | ||||
\(474\) | 7.89898 | + | 11.1708i | 0.362812 | + | 0.513094i | ||||
\(475\) | −25.6969 | − | 44.5084i | −1.17906 | − | 2.04219i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.10102 | − | 3.11416i | 0.0504123 | − | 0.142587i | ||||
\(478\) | 6.39898 | + | 11.0834i | 0.292683 | + | 0.506941i | ||||
\(479\) | −29.5959 | −1.35227 | −0.676136 | − | 0.736777i | \(-0.736347\pi\) | ||||
−0.676136 | + | 0.736777i | \(0.736347\pi\) | |||||||
\(480\) | 3.44949 | + | 4.87832i | 0.157447 | + | 0.222664i | ||||
\(481\) | 38.2020 | 1.74186 | ||||||||
\(482\) | 4.44949 | − | 7.70674i | 0.202669 | − | 0.351032i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.50000 | + | 6.06218i | 0.159091 | + | 0.275554i | ||||
\(485\) | 11.8990 | + | 20.6096i | 0.540305 | + | 0.935835i | ||||
\(486\) | 1.00000 | − | 15.5563i | 0.0453609 | − | 0.705650i | ||||
\(487\) | −11.1969 | + | 19.3937i | −0.507382 | + | 0.878811i | 0.492582 | + | 0.870266i | \(0.336053\pi\) |
−0.999963 | + | 0.00854475i | \(0.997280\pi\) | |||||||
\(488\) | −5.72474 | + | 9.91555i | −0.259147 | + | 0.448856i | ||||
\(489\) | −0.202041 | − | 0.285729i | −0.00913661 | − | 0.0129211i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 1.89898 | − | 3.28913i | 0.0856997 | − | 0.148436i | −0.819989 | − | 0.572379i | \(-0.806021\pi\) |
0.905689 | + | 0.423942i | \(0.139354\pi\) | |||||||
\(492\) | 16.8990 | − | 1.55708i | 0.761865 | − | 0.0701985i | ||||
\(493\) | 5.79796 | 0.261127 | ||||||||
\(494\) | 18.2474 | − | 31.6055i | 0.820992 | − | 1.42200i | ||||
\(495\) | 20.3485 | − | 3.78194i | 0.914596 | − | 0.169986i | ||||
\(496\) | 6.00000 | 0.269408 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −3.44949 | + | 0.317837i | −0.154575 | + | 0.0142426i | ||||
\(499\) | 33.3939 | 1.49492 | 0.747458 | − | 0.664309i | \(-0.231274\pi\) | ||||
0.747458 | + | 0.664309i | \(0.231274\pi\) | |||||||
\(500\) | −3.27526 | − | 5.67291i | −0.146474 | − | 0.253700i | ||||
\(501\) | 13.5505 | − | 29.4128i | 0.605392 | − | 1.31407i | ||||
\(502\) | −6.27526 | + | 10.8691i | −0.280078 | + | 0.485110i | ||||
\(503\) | 24.4949 | 1.09217 | 0.546087 | − | 0.837729i | \(-0.316117\pi\) | ||||
0.546087 | + | 0.837729i | \(0.316117\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 25.0000 | 1.11249 | ||||||||
\(506\) | 1.00000 | − | 1.73205i | 0.0444554 | − | 0.0769991i | ||||
\(507\) | 11.0000 | + | 15.5563i | 0.488527 | + | 0.690882i | ||||
\(508\) | 1.50000 | + | 2.59808i | 0.0665517 | + | 0.115271i | ||||
\(509\) | −16.8990 | −0.749034 | −0.374517 | − | 0.927220i | \(-0.622191\pi\) | ||||
−0.374517 | + | 0.927220i | \(0.622191\pi\) | |||||||
\(510\) | 6.89898 | + | 9.75663i | 0.305492 | + | 0.432031i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 27.7474 | + | 26.9897i | 1.22508 | + | 1.19162i | ||||
\(514\) | −13.8990 | + | 24.0737i | −0.613058 | + | 1.06185i | ||||
\(515\) | 48.2929 | 2.12804 | ||||||||
\(516\) | −2.10102 | + | 4.56048i | −0.0924923 | + | 0.200764i | ||||
\(517\) | 9.79796 | − | 16.9706i | 0.430914 | − | 0.746364i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −9.34847 | + | 20.2918i | −0.410352 | + | 0.890711i | ||||
\(520\) | 8.44949 | − | 14.6349i | 0.370535 | − | 0.641785i | ||||
\(521\) | 19.3485 | − | 33.5125i | 0.847672 | − | 1.46821i | −0.0356087 | − | 0.999366i | \(-0.511337\pi\) |
0.883281 | − | 0.468845i | \(-0.155330\pi\) | |||||||
\(522\) | 8.55051 | − | 1.58919i | 0.374246 | − | 0.0695568i | ||||
\(523\) | −0.174235 | − | 0.301783i | −0.00761875 | − | 0.0131961i | 0.862191 | − | 0.506584i | \(-0.169092\pi\) |
−0.869810 | + | 0.493387i | \(0.835758\pi\) | |||||||
\(524\) | 6.72474 | + | 11.6476i | 0.293772 | + | 0.508828i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.05051 | + | 13.9439i | −0.351019 | + | 0.607983i | ||||
\(527\) | 12.0000 | 0.522728 | ||||||||
\(528\) | 1.44949 | − | 3.14626i | 0.0630809 | − | 0.136924i | ||||
\(529\) | −22.0000 | −0.956522 | ||||||||
\(530\) | 1.89898 | + | 3.28913i | 0.0824864 | + | 0.142871i | ||||
\(531\) | 3.89898 | + | 4.56048i | 0.169201 | + | 0.197908i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −24.0000 | − | 41.5692i | −1.03956 | − | 1.80056i | ||||
\(534\) | 12.2474 | − | 1.12848i | 0.529999 | − | 0.0488343i | ||||
\(535\) | 20.6969 | + | 35.8481i | 0.894807 | + | 1.54985i | ||||
\(536\) | 1.55051 | + | 2.68556i | 0.0669718 | + | 0.115999i | ||||
\(537\) | −6.30306 | + | 13.6814i | −0.271997 | + | 0.590397i | ||||
\(538\) | 1.82577 | + | 3.16232i | 0.0787143 | + | 0.136337i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 12.8485 | + | 12.4976i | 0.552910 | + | 0.537810i | ||||
\(541\) | −15.2474 | − | 26.4094i | −0.655539 | − | 1.13543i | −0.981758 | − | 0.190133i | \(-0.939108\pi\) |
0.326219 | − | 0.945294i | \(-0.394225\pi\) | |||||||
\(542\) | 16.8990 | 0.725873 | ||||||||
\(543\) | −7.50000 | + | 0.691053i | −0.321856 | + | 0.0296559i | ||||
\(544\) | 2.00000 | 0.0857493 | ||||||||
\(545\) | 28.7980 | − | 49.8795i | 1.23357 | − | 2.13660i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −15.7980 | − | 27.3629i | −0.675472 | − | 1.16995i | −0.976331 | − | 0.216283i | \(-0.930607\pi\) |
0.300859 | − | 0.953669i | \(-0.402727\pi\) | |||||||
\(548\) | 5.89898 | + | 10.2173i | 0.251992 | + | 0.436463i | ||||
\(549\) | −11.4495 | + | 32.3840i | −0.488652 | + | 1.38212i | ||||
\(550\) | −6.89898 | + | 11.9494i | −0.294173 | + | 0.509523i | ||||
\(551\) | −10.7980 | + | 18.7026i | −0.460009 | + | 0.796758i | ||||
\(552\) | 1.72474 | − | 0.158919i | 0.0734100 | − | 0.00676403i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −5.34847 | + | 9.26382i | −0.227235 | + | 0.393582i | ||||
\(555\) | −26.8990 | − | 38.0409i | −1.14180 | − | 1.61475i | ||||
\(556\) | 9.44949 | 0.400748 | ||||||||
\(557\) | 1.55051 | − | 2.68556i | 0.0656972 | − | 0.113791i | −0.831306 | − | 0.555815i | \(-0.812406\pi\) |
0.897003 | + | 0.442024i | \(0.145740\pi\) | |||||||
\(558\) | 17.6969 | − | 3.28913i | 0.749171 | − | 0.139240i | ||||
\(559\) | 14.2020 | 0.600682 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.89898 | − | 6.29253i | 0.122395 | − | 0.265671i | ||||
\(562\) | −19.0000 | −0.801467 | ||||||||
\(563\) | −6.97219 | − | 12.0762i | −0.293843 | − | 0.508951i | 0.680872 | − | 0.732402i | \(-0.261601\pi\) |
−0.974715 | + | 0.223451i | \(0.928268\pi\) | |||||||
\(564\) | 16.8990 | − | 1.55708i | 0.711575 | − | 0.0655648i | ||||
\(565\) | 27.4217 | − | 47.4957i | 1.15364 | − | 1.99816i | ||||
\(566\) | −20.5505 | −0.863802 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 9.89898 | 0.415352 | ||||||||
\(569\) | 15.0000 | − | 25.9808i | 0.628833 | − | 1.08917i | −0.358954 | − | 0.933355i | \(-0.616866\pi\) |
0.987786 | − | 0.155815i | \(-0.0498003\pi\) | |||||||
\(570\) | −44.3207 | + | 4.08372i | −1.85639 | + | 0.171048i | ||||
\(571\) | −7.10102 | − | 12.2993i | −0.297168 | − | 0.514711i | 0.678319 | − | 0.734768i | \(-0.262709\pi\) |
−0.975487 | + | 0.220057i | \(0.929376\pi\) | |||||||
\(572\) | −9.79796 | −0.409673 | ||||||||
\(573\) | 10.0732 | − | 21.8649i | 0.420815 | − | 0.913421i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −6.89898 | −0.287707 | ||||||||
\(576\) | 2.94949 | − | 0.548188i | 0.122895 | − | 0.0228412i | ||||
\(577\) | −11.7980 | + | 20.4347i | −0.491155 | + | 0.850706i | −0.999948 | − | 0.0101829i | \(-0.996759\pi\) |
0.508793 | + | 0.860889i | \(0.330092\pi\) | |||||||
\(578\) | −13.0000 | −0.540729 | ||||||||
\(579\) | −8.10102 | − | 11.4566i | −0.336667 | − | 0.476119i | ||||
\(580\) | −5.00000 | + | 8.66025i | −0.207614 | + | 0.359597i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 11.8990 | − | 1.09638i | 0.493229 | − | 0.0454463i | ||||
\(583\) | 1.10102 | − | 1.90702i | 0.0455996 | − | 0.0789808i | ||||
\(584\) | −1.44949 | + | 2.51059i | −0.0599803 | + | 0.103889i | ||||
\(585\) | 16.8990 | − | 47.7975i | 0.698687 | − | 1.97618i | ||||
\(586\) | −13.6237 | − | 23.5970i | −0.562791 | − | 0.974782i | ||||
\(587\) | 9.07321 | + | 15.7153i | 0.374492 | + | 0.648639i | 0.990251 | − | 0.139296i | \(-0.0444839\pi\) |
−0.615759 | + | 0.787934i | \(0.711151\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −22.3485 | + | 38.7087i | −0.920853 | + | 1.59496i | ||||
\(590\) | −6.89898 | −0.284026 | ||||||||
\(591\) | 21.8990 | − | 2.01778i | 0.900804 | − | 0.0830004i | ||||
\(592\) | −7.79796 | −0.320494 | ||||||||
\(593\) | 7.34847 | + | 12.7279i | 0.301765 | + | 0.522673i | 0.976536 | − | 0.215355i | \(-0.0690907\pi\) |
−0.674770 | + | 0.738028i | \(0.735757\pi\) | |||||||
\(594\) | 2.55051 | − | 10.0745i | 0.104649 | − | 0.413360i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.00000 | + | 5.19615i | 0.122885 | + | 0.212843i | ||||
\(597\) | 5.00000 | − | 10.8530i | 0.204636 | − | 0.444184i | ||||
\(598\) | −2.44949 | − | 4.24264i | −0.100167 | − | 0.173494i | ||||
\(599\) | 7.10102 | + | 12.2993i | 0.290140 | + | 0.502537i | 0.973843 | − | 0.227224i | \(-0.0729648\pi\) |
−0.683703 | + | 0.729761i | \(0.739632\pi\) | |||||||
\(600\) | −11.8990 | + | 1.09638i | −0.485774 | + | 0.0447594i | ||||
\(601\) | 6.34847 | + | 10.9959i | 0.258959 | + | 0.448531i | 0.965963 | − | 0.258679i | \(-0.0832871\pi\) |
−0.707004 | + | 0.707210i | \(0.749954\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 6.04541 | + | 7.07107i | 0.246188 | + | 0.287956i | ||||
\(604\) | 2.50000 | + | 4.33013i | 0.101724 | + | 0.176190i | ||||
\(605\) | −24.1464 | −0.981692 | ||||||||
\(606\) | 5.25255 | − | 11.4012i | 0.213370 | − | 0.463142i | ||||
\(607\) | −8.69694 | −0.352998 | −0.176499 | − | 0.984301i | \(-0.556477\pi\) | ||||
−0.176499 | + | 0.984301i | \(0.556477\pi\) | |||||||
\(608\) | −3.72474 | + | 6.45145i | −0.151058 | + | 0.261641i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −19.7474 | − | 34.2036i | −0.799551 | − | 1.38486i | ||||
\(611\) | −24.0000 | − | 41.5692i | −0.970936 | − | 1.68171i | ||||
\(612\) | 5.89898 | − | 1.09638i | 0.238452 | − | 0.0443184i | ||||
\(613\) | −7.34847 | + | 12.7279i | −0.296802 | + | 0.514076i | −0.975402 | − | 0.220432i | \(-0.929253\pi\) |
0.678601 | + | 0.734508i | \(0.262587\pi\) | |||||||
\(614\) | −0.376276 | + | 0.651729i | −0.0151852 | + | 0.0263016i | ||||
\(615\) | −24.4949 | + | 53.1687i | −0.987730 | + | 2.14397i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −21.6969 | + | 37.5802i | −0.873486 | + | 1.51292i | −0.0151189 | + | 0.999886i | \(0.504813\pi\) |
−0.858367 | + | 0.513036i | \(0.828521\pi\) | |||||||
\(618\) | 10.1464 | − | 22.0239i | 0.408149 | − | 0.885929i | ||||
\(619\) | −4.14643 | −0.166659 | −0.0833295 | − | 0.996522i | \(-0.526555\pi\) | ||||
−0.0833295 | + | 0.996522i | \(0.526555\pi\) | |||||||
\(620\) | −10.3485 | + | 17.9241i | −0.415605 | + | 0.719848i | ||||
\(621\) | 5.00000 | − | 1.41421i | 0.200643 | − | 0.0567504i | ||||
\(622\) | 1.30306 | 0.0522480 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −4.89898 | − | 6.92820i | −0.196116 | − | 0.277350i | ||||
\(625\) | −11.8990 | −0.475959 | ||||||||
\(626\) | −12.3485 | − | 21.3882i | −0.493544 | − | 0.854843i | ||||
\(627\) | 14.8990 | + | 21.0703i | 0.595008 | + | 0.841468i | ||||
\(628\) | −3.17423 | + | 5.49794i | −0.126666 | + | 0.219392i | ||||
\(629\) | −15.5959 | −0.621850 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 18.1010 | 0.720590 | 0.360295 | − | 0.932838i | \(-0.382676\pi\) | ||||
0.360295 | + | 0.932838i | \(0.382676\pi\) | |||||||
\(632\) | −3.94949 | + | 6.84072i | −0.157102 | + | 0.272109i | ||||
\(633\) | 2.24745 | − | 4.87832i | 0.0893281 | − | 0.193896i | ||||
\(634\) | 4.34847 | + | 7.53177i | 0.172700 | + | 0.299125i | ||||
\(635\) | −10.3485 | −0.410666 | ||||||||
\(636\) | 1.89898 | − | 0.174973i | 0.0752994 | − | 0.00693812i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 5.79796 | 0.229543 | ||||||||
\(639\) | 29.1969 | − | 5.42650i | 1.15501 | − | 0.214669i | ||||
\(640\) | −1.72474 | + | 2.98735i | −0.0681765 | + | 0.118085i | ||||
\(641\) | 41.4949 | 1.63895 | 0.819475 | − | 0.573115i | \(-0.194265\pi\) | ||||
0.819475 | + | 0.573115i | \(0.194265\pi\) | |||||||
\(642\) | 20.6969 | − | 1.90702i | 0.816843 | − | 0.0752642i | ||||
\(643\) | −9.69694 | + | 16.7956i | −0.382410 | + | 0.662353i | −0.991406 | − | 0.130820i | \(-0.958239\pi\) |
0.608996 | + | 0.793173i | \(0.291572\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −10.0000 | − | 14.1421i | −0.393750 | − | 0.556846i | ||||
\(646\) | −7.44949 | + | 12.9029i | −0.293096 | + | 0.507658i | ||||
\(647\) | 10.6515 | − | 18.4490i | 0.418755 | − | 0.725305i | −0.577060 | − | 0.816702i | \(-0.695800\pi\) |
0.995815 | + | 0.0913973i | \(0.0291333\pi\) | |||||||
\(648\) | 8.39898 | − | 3.23375i | 0.329943 | − | 0.127034i | ||||
\(649\) | 2.00000 | + | 3.46410i | 0.0785069 | + | 0.135978i | ||||
\(650\) | 16.8990 | + | 29.2699i | 0.662833 | + | 1.14806i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.101021 | − | 0.174973i | 0.00395627 | − | 0.00685246i | ||||
\(653\) | −9.79796 | −0.383424 | −0.191712 | − | 0.981451i | \(-0.561404\pi\) | ||||
−0.191712 | + | 0.981451i | \(0.561404\pi\) | |||||||
\(654\) | −16.6969 | − | 23.6130i | −0.652902 | − | 0.923343i | ||||
\(655\) | −46.3939 | −1.81276 | ||||||||
\(656\) | 4.89898 | + | 8.48528i | 0.191273 | + | 0.331295i | ||||
\(657\) | −2.89898 | + | 8.19955i | −0.113100 | + | 0.319895i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −2.34847 | − | 4.06767i | −0.0914834 | − | 0.158454i | 0.816652 | − | 0.577130i | \(-0.195828\pi\) |
−0.908136 | + | 0.418676i | \(0.862494\pi\) | |||||||
\(660\) | 6.89898 | + | 9.75663i | 0.268542 | + | 0.379776i | ||||
\(661\) | −4.72474 | − | 8.18350i | −0.183771 | − | 0.318301i | 0.759391 | − | 0.650635i | \(-0.225497\pi\) |
−0.943162 | + | 0.332334i | \(0.892164\pi\) | |||||||
\(662\) | 12.3485 | + | 21.3882i | 0.479937 | + | 0.831275i | ||||
\(663\) | −9.79796 | − | 13.8564i | −0.380521 | − | 0.538138i | ||||
\(664\) | −1.00000 | − | 1.73205i | −0.0388075 | − | 0.0672166i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −23.0000 | + | 4.27475i | −0.891232 | + | 0.165643i | ||||
\(667\) | 1.44949 | + | 2.51059i | 0.0561245 | + | 0.0972104i | ||||
\(668\) | 18.6969 | 0.723406 | ||||||||
\(669\) | −20.8990 | − | 29.5556i | −0.808001 | − | 1.14269i | ||||
\(670\) | −10.6969 | −0.413259 | ||||||||
\(671\) | −11.4495 | + | 19.8311i | −0.442003 | + | 0.765571i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −15.2980 | − | 26.4968i | −0.589693 | − | 1.02138i | −0.994272 | − | 0.106875i | \(-0.965915\pi\) |
0.404579 | − | 0.914503i | \(-0.367418\pi\) | |||||||
\(674\) | −17.6969 | − | 30.6520i | −0.681661 | − | 1.18067i | ||||
\(675\) | −34.4949 | + | 9.75663i | −1.32771 | + | 0.375533i | ||||
\(676\) | −5.50000 | + | 9.52628i | −0.211538 | + | 0.366395i | ||||
\(677\) | 7.34847 | − | 12.7279i | 0.282425 | − | 0.489174i | −0.689557 | − | 0.724232i | \(-0.742195\pi\) |
0.971981 | + | 0.235058i | \(0.0755280\pi\) | |||||||
\(678\) | −15.8990 | − | 22.4846i | −0.610597 | − | 0.863514i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | −3.44949 | + | 5.97469i | −0.132282 | + | 0.229119i | ||||
\(681\) | 0.949490 | − | 0.0874863i | 0.0363845 | − | 0.00335248i | ||||
\(682\) | 12.0000 | 0.459504 | ||||||||
\(683\) | −16.1010 | + | 27.8878i | −0.616088 | + | 1.06710i | 0.374104 | + | 0.927387i | \(0.377950\pi\) |
−0.990193 | + | 0.139710i | \(0.955383\pi\) | |||||||
\(684\) | −7.44949 | + | 21.0703i | −0.284838 | + | 0.805645i | ||||
\(685\) | −40.6969 | −1.55495 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 40.0959 | − | 3.69445i | 1.52975 | − | 0.140952i | ||||
\(688\) | −2.89898 | −0.110523 | ||||||||
\(689\) | −2.69694 | − | 4.67123i | −0.102745 | − | 0.177960i | ||||
\(690\) | −2.50000 | + | 5.42650i | −0.0951734 | + | 0.206583i | ||||
\(691\) | −3.47730 | + | 6.02285i | −0.132283 | + | 0.229120i | −0.924556 | − | 0.381046i | \(-0.875564\pi\) |
0.792274 | + | 0.610166i | \(0.208897\pi\) | |||||||
\(692\) | −12.8990 | −0.490346 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −19.5959 | −0.743851 | ||||||||
\(695\) | −16.2980 | + | 28.2289i | −0.618217 | + | 1.07078i | ||||
\(696\) | 2.89898 | + | 4.09978i | 0.109886 | + | 0.155402i | ||||
\(697\) | 9.79796 | + | 16.9706i | 0.371124 | + | 0.642806i | ||||
\(698\) | 20.8990 | 0.791038 | ||||||||
\(699\) | −7.00000 | − | 9.89949i | −0.264764 | − | 0.374433i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 51.3939 | 1.94112 | 0.970560 | − | 0.240860i | \(-0.0774293\pi\) | ||||
0.970560 | + | 0.240860i | \(0.0774293\pi\) | |||||||
\(702\) | −18.2474 | − | 17.7491i | −0.688706 | − | 0.669897i | ||||
\(703\) | 29.0454 | − | 50.3081i | 1.09547 | − | 1.89741i | ||||
\(704\) | 2.00000 | 0.0753778 | ||||||||
\(705\) | −24.4949 | + | 53.1687i | −0.922531 | + | 2.00245i | ||||
\(706\) | 3.00000 | − | 5.19615i | 0.112906 | − | 0.195560i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | −1.44949 | + | 3.14626i | −0.0544752 | + | 0.118244i | ||||
\(709\) | 5.79796 | − | 10.0424i | 0.217747 | − | 0.377149i | −0.736372 | − | 0.676577i | \(-0.763463\pi\) |
0.954119 | + | 0.299428i | \(0.0967959\pi\) | |||||||
\(710\) | −17.0732 | + | 29.5717i | −0.640746 | + | 1.10981i | ||||
\(711\) | −7.89898 | + | 22.3417i | −0.296235 | + | 0.837879i | ||||
\(712\) | 3.55051 | + | 6.14966i | 0.133061 | + | 0.230468i | ||||
\(713\) | 3.00000 | + | 5.19615i | 0.112351 | + | 0.194597i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16.8990 | − | 29.2699i | 0.631986 | − | 1.09463i | ||||
\(716\) | −8.69694 | −0.325020 | ||||||||
\(717\) | −9.27526 | + | 20.1329i | −0.346391 | + | 0.751876i | ||||
\(718\) | 10.7980 | 0.402976 | ||||||||
\(719\) | 4.89898 | + | 8.48528i | 0.182701 | + | 0.316448i | 0.942799 | − | 0.333360i | \(-0.108183\pi\) |
−0.760098 | + | 0.649808i | \(0.774849\pi\) | |||||||
\(720\) | −3.44949 | + | 9.75663i | −0.128555 | + | 0.363608i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −18.2474 | − | 31.6055i | −0.679100 | − | 1.17624i | ||||
\(723\) | 15.3485 | − | 1.41421i | 0.570816 | − | 0.0525952i | ||||
\(724\) | −2.17423 | − | 3.76588i | −0.0808048 | − | 0.139958i | ||||
\(725\) | −10.0000 | − | 17.3205i | −0.371391 | − | 0.643268i | ||||
\(726\) | −5.07321 | + | 11.0119i | −0.188285 | + | 0.408691i | ||||
\(727\) | −20.2474 | − | 35.0696i | −0.750936 | − | 1.30066i | −0.947369 | − | 0.320143i | \(-0.896269\pi\) |
0.196433 | − | 0.980517i | \(-0.437064\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.0000 | − | 14.1421i | 0.851852 | − | 0.523783i | ||||
\(730\) | −5.00000 | − | 8.66025i | −0.185058 | − | 0.320530i | ||||
\(731\) | −5.79796 | −0.214445 | ||||||||
\(732\) | −19.7474 | + | 1.81954i | −0.729887 | + | 0.0672520i | ||||
\(733\) | −12.5505 | −0.463564 | −0.231782 | − | 0.972768i | \(-0.574456\pi\) | ||||
−0.231782 | + | 0.972768i | \(0.574456\pi\) | |||||||
\(734\) | −2.89898 | + | 5.02118i | −0.107003 | + | 0.185335i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.500000 | + | 0.866025i | 0.0184302 | + | 0.0319221i | ||||
\(737\) | 3.10102 | + | 5.37113i | 0.114228 | + | 0.197848i | ||||
\(738\) | 19.1010 | + | 22.3417i | 0.703118 | + | 0.822409i | ||||
\(739\) | 12.7980 | − | 22.1667i | 0.470781 | − | 0.815416i | −0.528661 | − | 0.848833i | \(-0.677306\pi\) |
0.999441 | + | 0.0334173i | \(0.0106390\pi\) | |||||||
\(740\) | 13.4495 | − | 23.2952i | 0.494413 | − | 0.856349i | ||||
\(741\) | 62.9444 | − | 5.79972i | 2.31232 | − | 0.213058i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −18.0000 | + | 31.1769i | −0.660356 | + | 1.14377i | 0.320166 | + | 0.947361i | \(0.396261\pi\) |
−0.980522 | + | 0.196409i | \(0.937072\pi\) | |||||||
\(744\) | 6.00000 | + | 8.48528i | 0.219971 | + | 0.311086i | ||||
\(745\) | −20.6969 | −0.758277 | ||||||||
\(746\) | −1.44949 | + | 2.51059i | −0.0530696 | + | 0.0919192i | ||||
\(747\) | −3.89898 | − | 4.56048i | −0.142656 | − | 0.166859i | ||||
\(748\) | 4.00000 | 0.146254 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 4.74745 | − | 10.3048i | 0.173352 | − | 0.376279i | ||||
\(751\) | 40.5959 | 1.48137 | 0.740683 | − | 0.671855i | \(-0.234502\pi\) | ||||
0.740683 | + | 0.671855i | \(0.234502\pi\) | |||||||
\(752\) | 4.89898 | + | 8.48528i | 0.178647 | + | 0.309426i | ||||
\(753\) | −21.6464 | + | 1.99451i | −0.788840 | + | 0.0726840i | ||||
\(754\) | 7.10102 | − | 12.2993i | 0.258604 | − | 0.447915i | ||||
\(755\) | −17.2474 | −0.627699 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 23.3939 | 0.850265 | 0.425132 | − | 0.905131i | \(-0.360228\pi\) | ||||
0.425132 | + | 0.905131i | \(0.360228\pi\) | |||||||
\(758\) | 13.2474 | − | 22.9453i | 0.481169 | − | 0.833409i | ||||
\(759\) | 3.44949 | − | 0.317837i | 0.125209 | − | 0.0115368i | ||||
\(760\) | −12.8485 | − | 22.2542i | −0.466063 | − | 0.807245i | ||||
\(761\) | 2.00000 | 0.0724999 | 0.0362500 | − | 0.999343i | \(-0.488459\pi\) | ||||
0.0362500 | + | 0.999343i | \(0.488459\pi\) | |||||||
\(762\) | −2.17423 | + | 4.71940i | −0.0787642 | + | 0.170966i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 13.8990 | 0.502847 | ||||||||
\(765\) | −6.89898 | + | 19.5133i | −0.249433 | + | 0.705503i | ||||
\(766\) | −3.44949 | + | 5.97469i | −0.124635 | + | 0.215874i | ||||
\(767\) | 9.79796 | 0.353784 | ||||||||
\(768\) | 1.00000 | + | 1.41421i | 0.0360844 | + | 0.0510310i | ||||
\(769\) | −27.0454 | + | 46.8440i | −0.975282 | + | 1.68924i | −0.296282 | + | 0.955100i | \(0.595747\pi\) |
−0.679000 | + | 0.734138i | \(0.737586\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −47.9444 | + | 4.41761i | −1.72667 | + | 0.159096i | ||||
\(772\) | 4.05051 | − | 7.01569i | 0.145781 | − | 0.252500i | ||||
\(773\) | 9.97219 | − | 17.2723i | 0.358675 | − | 0.621243i | −0.629065 | − | 0.777353i | \(-0.716562\pi\) |
0.987740 | + | 0.156110i | \(0.0498953\pi\) | |||||||
\(774\) | −8.55051 | + | 1.58919i | −0.307342 | + | 0.0571221i | ||||
\(775\) | −20.6969 | − | 35.8481i | −0.743456 | − | 1.28770i | ||||
\(776\) | 3.44949 | + | 5.97469i | 0.123829 | + | 0.214479i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7.55051 | − | 13.0779i | 0.270699 | − | 0.468864i | ||||
\(779\) | −72.9898 | −2.61513 | ||||||||
\(780\) | 29.1464 | − | 2.68556i | 1.04361 | − | 0.0961586i | ||||
\(781\) | 19.7980 | 0.708427 | ||||||||
\(782\) | 1.00000 | + | 1.73205i | 0.0357599 | + | 0.0619380i | ||||
\(783\) | 10.7980 | + | 10.5031i | 0.385888 | + | 0.375349i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −10.9495 | − | 18.9651i | −0.390804 | − | 0.676892i | ||||
\(786\) | −9.74745 | + | 21.1578i | −0.347680 | + | 0.754675i | ||||
\(787\) | −23.6969 | − | 41.0443i | −0.844705 | − | 1.46307i | −0.885877 | − | 0.463919i | \(-0.846443\pi\) |
0.0411728 | − | 0.999152i | \(-0.486891\pi\) | |||||||
\(788\) | 6.34847 | + | 10.9959i | 0.226155 | + | 0.391712i | ||||
\(789\) | −27.7702 | + | 2.55875i | −0.988644 | + | 0.0910940i | ||||
\(790\) | −13.6237 | − | 23.5970i | −0.484710 | − | 0.839543i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 5.89898 | − | 1.09638i | 0.209611 | − | 0.0389580i | ||||
\(793\) | 28.0454 | + | 48.5761i | 0.995922 | + | 1.72499i | ||||
\(794\) | 9.30306 | 0.330153 | ||||||||
\(795\) | −2.75255 | + | 5.97469i | −0.0976229 | + | 0.211900i | ||||
\(796\) | 6.89898 | 0.244528 | ||||||||
\(797\) | −17.9722 | + | 31.1288i | −0.636608 | + | 1.10264i | 0.349564 | + | 0.936912i | \(0.386330\pi\) |
−0.986172 | + | 0.165725i | \(0.947004\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 9.79796 | + | 16.9706i | 0.346627 | + | 0.600375i | ||||
\(800\) | −3.44949 | − | 5.97469i | −0.121958 | − | 0.211237i | ||||
\(801\) | 13.8434 | + | 16.1920i | 0.489131 | + | 0.572117i | ||||
\(802\) | 5.05051 | − | 8.74774i | 0.178340 | − | 0.308893i | ||||
\(803\) | −2.89898 | + | 5.02118i | −0.102303 | + | 0.177194i | ||||
\(804\) | −2.24745 | + | 4.87832i | −0.0792614 | + | 0.172045i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 14.6969 | − | 25.4558i | 0.517678 | − | 0.896644i | ||||
\(807\) | −2.64643 | + | 5.74434i | −0.0931587 | + | 0.202210i | ||||
\(808\) | 7.24745 | 0.254964 | ||||||||
\(809\) | 17.8990 | − | 31.0019i | 0.629295 | − | 1.08997i | −0.358399 | − | 0.933569i | \(-0.616677\pi\) |
0.987694 | − | 0.156402i | \(-0.0499894\pi\) | |||||||
\(810\) | −4.82577 | + | 30.6681i | −0.169560 | + | 1.07757i | ||||
\(811\) | −2.00000 | −0.0702295 | −0.0351147 | − | 0.999383i | \(-0.511180\pi\) | ||||
−0.0351147 | + | 0.999383i | \(0.511180\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 16.8990 | + | 23.8988i | 0.592673 | + | 0.838166i | ||||
\(814\) | −15.5959 | −0.546637 | ||||||||
\(815\) | 0.348469 | + | 0.603566i | 0.0122063 | + | 0.0211420i | ||||
\(816\) | 2.00000 | + | 2.82843i | 0.0700140 | + | 0.0990148i | ||||
\(817\) | 10.7980 | − | 18.7026i | 0.377773 | − | 0.654322i | ||||
\(818\) | 5.79796 | 0.202721 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −33.7980 | −1.18028 | ||||||||
\(821\) | −19.7980 | + | 34.2911i | −0.690954 | + | 1.19677i | 0.280572 | + | 0.959833i | \(0.409476\pi\) |
−0.971526 | + | 0.236934i | \(0.923858\pi\) | |||||||
\(822\) | −8.55051 | + | 18.5597i | −0.298233 | + | 0.647346i | ||||
\(823\) | −22.6969 | − | 39.3123i | −0.791166 | − | 1.37034i | −0.925246 | − | 0.379368i | \(-0.876141\pi\) |
0.134080 | − | 0.990970i | \(-0.457192\pi\) | |||||||
\(824\) | 14.0000 | 0.487713 | ||||||||
\(825\) | −23.7980 | + | 2.19275i | −0.828539 | + | 0.0763418i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 12.4949 | 0.434490 | 0.217245 | − | 0.976117i | \(-0.430293\pi\) | ||||
0.217245 | + | 0.976117i | \(0.430293\pi\) | |||||||
\(828\) | 1.94949 | + | 2.28024i | 0.0677495 | + | 0.0792438i | ||||
\(829\) | −15.3485 | + | 26.5843i | −0.533074 | + | 0.923312i | 0.466180 | + | 0.884690i | \(0.345630\pi\) |
−0.999254 | + | 0.0386218i | \(0.987703\pi\) | |||||||
\(830\) | 6.89898 | 0.239467 | ||||||||
\(831\) | −18.4495 | + | 1.69994i | −0.640006 | + | 0.0589704i | ||||
\(832\) | 2.44949 | − | 4.24264i | 0.0849208 | − | 0.147087i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 9.44949 | + | 13.3636i | 0.327209 | + | 0.462744i | ||||
\(835\) | −32.2474 | + | 55.8542i | −1.11597 | + | 1.93291i | ||||
\(836\) | −7.44949 | + | 12.9029i | −0.257646 | + | 0.446256i | ||||
\(837\) | 22.3485 | + | 21.7381i | 0.772476 | + | 0.751379i | ||||
\(838\) | −12.2753 | − | 21.2614i | −0.424042 | − | 0.734462i | ||||
\(839\) | 22.4495 | + | 38.8837i | 0.775042 | + | 1.34241i | 0.934771 | + | 0.355252i | \(0.115605\pi\) |
−0.159728 | + | 0.987161i | \(0.551062\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.2980 | − | 17.8366i | 0.355102 | − | 0.615055i | ||||
\(842\) | 13.1010 | 0.451491 | ||||||||
\(843\) | −19.0000 | − | 26.8701i | −0.654395 | − | 0.925454i | ||||
\(844\) | 3.10102 | 0.106742 | ||||||||
\(845\) | −18.9722 | − | 32.8608i | −0.652663 | − | 1.13045i | ||||
\(846\) | 19.1010 | + | 22.3417i | 0.656707 | + | 0.768123i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0.550510 | + | 0.953512i | 0.0189046 | + | 0.0327437i | ||||
\(849\) | −20.5505 | − | 29.0628i | −0.705292 | − | 0.997433i | ||||
\(850\) | −6.89898 | − | 11.9494i | −0.236633 | − | 0.409860i | ||||
\(851\) | −3.89898 | − | 6.75323i | −0.133655 | − | 0.231498i | ||||
\(852\) | 9.89898 | + | 13.9993i | 0.339133 | + | 0.479607i | ||||
\(853\) | 19.4217 | + | 33.6393i | 0.664986 | + | 1.15179i | 0.979289 | + | 0.202467i | \(0.0648957\pi\) |
−0.314303 | + | 0.949323i | \(0.601771\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −50.0959 | − | 58.5952i | −1.71324 | − | 2.00391i | ||||
\(856\) | 6.00000 | + | 10.3923i | 0.205076 | + | 0.355202i | ||||
\(857\) | −25.1010 | −0.857435 | −0.428717 | − | 0.903439i | \(-0.641034\pi\) | ||||
−0.428717 | + | 0.903439i | \(0.641034\pi\) | |||||||
\(858\) | −9.79796 | − | 13.8564i | −0.334497 | − | 0.473050i | ||||
\(859\) | −10.0000 | −0.341196 | −0.170598 | − | 0.985341i | \(-0.554570\pi\) | ||||
−0.170598 | + | 0.985341i | \(0.554570\pi\) | |||||||
\(860\) | 5.00000 | − | 8.66025i | 0.170499 | − | 0.295312i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.79796 | + | 6.57826i | 0.129359 | + | 0.224056i | ||||
\(863\) | −1.05051 | − | 1.81954i | −0.0357598 | − | 0.0619378i | 0.847592 | − | 0.530649i | \(-0.178052\pi\) |
−0.883351 | + | 0.468711i | \(0.844718\pi\) | |||||||
\(864\) | 3.72474 | + | 3.62302i | 0.126718 | + | 0.123258i | ||||
\(865\) | 22.2474 | − | 38.5337i | 0.756436 | − | 1.31019i | ||||
\(866\) | −5.89898 | + | 10.2173i | −0.200455 | + | 0.347199i | ||||
\(867\) | −13.0000 | − | 18.3848i | −0.441503 | − | 0.624380i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −7.89898 | + | 13.6814i | −0.267955 | + | 0.464111i | ||||
\(870\) | −17.2474 | + | 1.58919i | −0.584743 | + | 0.0538785i | ||||
\(871\) | 15.1918 | 0.514756 | ||||||||
\(872\) | 8.34847 | − | 14.4600i | 0.282715 | − | 0.489676i | ||||
\(873\) | 13.4495 | + | 15.7313i | 0.455196 | + | 0.532425i | ||||
\(874\) | −7.44949 | −0.251983 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.00000 | + | 0.460702i | −0.168934 | + | 0.0155657i | ||||
\(877\) | −26.4949 | −0.894669 | −0.447335 | − | 0.894367i | \(-0.647627\pi\) | ||||
−0.447335 | + | 0.894367i | \(0.647627\pi\) | |||||||
\(878\) | −10.8990 | − | 18.8776i | −0.367823 | − | 0.637088i | ||||
\(879\) | 19.7474 | − | 42.8638i | 0.666065 | − | 1.44576i | ||||
\(880\) | −3.44949 | + | 5.97469i | −0.116282 | + | 0.201407i | ||||
\(881\) | −19.5959 | −0.660203 | −0.330102 | − | 0.943945i | \(-0.607083\pi\) | ||||
−0.330102 | + | 0.943945i | \(0.607083\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −0.202041 | −0.00679922 | −0.00339961 | − | 0.999994i | \(-0.501082\pi\) | ||||
−0.00339961 | + | 0.999994i | \(0.501082\pi\) | |||||||
\(884\) | 4.89898 | − | 8.48528i | 0.164771 | − | 0.285391i | ||||
\(885\) | −6.89898 | − | 9.75663i | −0.231907 | − | 0.327966i | ||||
\(886\) | 2.55051 | + | 4.41761i | 0.0856861 | + | 0.148413i | ||||
\(887\) | −33.7980 | −1.13482 | −0.567412 | − | 0.823434i | \(-0.692055\pi\) | ||||
−0.567412 | + | 0.823434i | \(0.692055\pi\) | |||||||
\(888\) | −7.79796 | − | 11.0280i | −0.261682 | − | 0.370075i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −24.4949 | −0.821071 | ||||||||
\(891\) | 16.7980 | − | 6.46750i | 0.562753 | − | 0.216669i | ||||
\(892\) | 10.4495 | − | 18.0990i | 0.349875 | − | 0.606001i | ||||
\(893\) | −72.9898 | −2.44251 | ||||||||
\(894\) | −4.34847 | + | 9.43879i | −0.145435 | + | 0.315680i | ||||
\(895\) | 15.0000 | − | 25.9808i | 0.501395 | − | 0.868441i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 3.55051 | − | 7.70674i | 0.118548 | − | 0.257321i | ||||
\(898\) | 9.29796 | − | 16.1045i | 0.310277 | − | 0.537415i | ||||
\(899\) | −8.69694 | + | 15.0635i | −0.290059 | + | 0.502397i | ||||
\(900\) | −13.4495 | − | 15.7313i | −0.448316 | − | 0.524377i | ||||
\(901\) | 1.10102 | + | 1.90702i | 0.0366803 | + | 0.0635322i | ||||
\(902\) | 9.79796 | + | 16.9706i | 0.326236 | + | 0.565058i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.94949 | − | 13.7689i | 0.264396 | − | 0.457947i | ||||
\(905\) | 15.0000 | 0.498617 | ||||||||
\(906\) | −3.62372 | + | 7.86566i | −0.120390 | + | 0.261319i | ||||
\(907\) | −26.6969 | −0.886457 | −0.443229 | − | 0.896409i | \(-0.646167\pi\) | ||||
−0.443229 | + | 0.896409i | \(0.646167\pi\) | |||||||
\(908\) | 0.275255 | + | 0.476756i | 0.00913466 | + | 0.0158217i | ||||
\(909\) | 21.3763 | − | 3.97297i | 0.709006 | − | 0.131775i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 22.9949 | + | 39.8283i | 0.761855 | + | 1.31957i | 0.941893 | + | 0.335912i | \(0.109044\pi\) |
−0.180038 | + | 0.983660i | \(0.557622\pi\) | |||||||
\(912\) | −12.8485 | + | 1.18386i | −0.425455 | + | 0.0392016i | ||||
\(913\) | −2.00000 | − | 3.46410i | −0.0661903 | − | 0.114645i | ||||
\(914\) | −15.7474 | − | 27.2754i | −0.520879 | − | 0.902189i | ||||
\(915\) | 28.6237 | − | 62.1307i | 0.946271 | − | 2.05398i | ||||
\(916\) | 11.6237 | + | 20.1329i | 0.384059 | + | 0.665209i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 7.44949 | + | 7.24604i | 0.245870 | + | 0.239155i | ||||
\(919\) | −1.84847 | − | 3.20164i | −0.0609754 | − | 0.105612i | 0.833926 | − | 0.551876i | \(-0.186088\pi\) |
−0.894902 | + | 0.446263i | \(0.852754\pi\) | |||||||
\(920\) | −3.44949 | −0.113726 | ||||||||
\(921\) | −1.29796 | + | 0.119594i | −0.0427692 | + | 0.00394077i | ||||
\(922\) | 20.3485 | 0.670141 | ||||||||
\(923\) | 24.2474 | − | 41.9978i | 0.798114 | − | 1.38237i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 26.8990 | + | 46.5904i | 0.884433 | + | 1.53188i | ||||
\(926\) | 12.8485 | + | 22.2542i | 0.422227 | + | 0.731318i | ||||
\(927\) | 41.2929 | − | 7.67463i | 1.35624 | − | 0.252068i | ||||
\(928\) | −1.44949 | + | 2.51059i | −0.0475818 | + | 0.0824142i | ||||
\(929\) | 17.1464 | − | 29.6985i | 0.562556 | − | 0.974376i | −0.434716 | − | 0.900567i | \(-0.643151\pi\) |
0.997272 | − | 0.0738083i | \(-0.0235153\pi\) | |||||||
\(930\) | −35.6969 | + | 3.28913i | −1.17055 | + | 0.107855i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.50000 | − | 6.06218i | 0.114646 | − | 0.198573i | ||||
\(933\) | 1.30306 | + | 1.84281i | 0.0426603 | + | 0.0603308i | ||||
\(934\) | 10.0000 | 0.327210 | ||||||||
\(935\) | −6.89898 | + | 11.9494i | −0.225621 | + | 0.390787i | ||||
\(936\) | 4.89898 | − | 13.8564i | 0.160128 | − | 0.452911i | ||||
\(937\) | 6.40408 | 0.209212 | 0.104606 | − | 0.994514i | \(-0.466642\pi\) | ||||
0.104606 | + | 0.994514i | \(0.466642\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 17.8990 | − | 38.8515i | 0.584111 | − | 1.26787i | ||||
\(940\) | −33.7980 | −1.10237 | ||||||||
\(941\) | −1.72474 | − | 2.98735i | −0.0562251 | − | 0.0973847i | 0.836543 | − | 0.547901i | \(-0.184573\pi\) |
−0.892768 | + | 0.450517i | \(0.851240\pi\) | |||||||
\(942\) | −10.9495 | + | 1.00889i | −0.356754 | + | 0.0328714i | ||||
\(943\) | −4.89898 | + | 8.48528i | −0.159533 | + | 0.276319i | ||||
\(944\) | −2.00000 | −0.0650945 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.79796 | −0.188508 | ||||||||
\(947\) | −1.75255 | + | 3.03551i | −0.0569503 | + | 0.0986408i | −0.893095 | − | 0.449868i | \(-0.851471\pi\) |
0.836145 | + | 0.548509i | \(0.184804\pi\) | |||||||
\(948\) | −13.6237 | + | 1.25529i | −0.442478 | + | 0.0407701i | ||||
\(949\) | 7.10102 | + | 12.2993i | 0.230509 | + | 0.399253i | ||||
\(950\) | 51.3939 | 1.66744 | ||||||||
\(951\) | −6.30306 | + | 13.6814i | −0.204391 | + | 0.443651i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 55.3939 | 1.79438 | 0.897192 | − | 0.441641i | \(-0.145604\pi\) | ||||
0.897192 | + | 0.441641i | \(0.145604\pi\) | |||||||
\(954\) | 2.14643 | + | 2.51059i | 0.0694932 | + | 0.0812833i | ||||
\(955\) | −23.9722 | + | 41.5211i | −0.775722 | + | 1.34359i | ||||
\(956\) | −12.7980 | −0.413916 | ||||||||
\(957\) | 5.79796 | + | 8.19955i | 0.187421 | + | 0.265054i | ||||
\(958\) | 14.7980 | − | 25.6308i | 0.478100 | − | 0.828094i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −5.94949 | + | 0.548188i | −0.192019 | + | 0.0176927i | ||||
\(961\) | −2.50000 | + | 4.33013i | −0.0806452 | + | 0.139682i | ||||
\(962\) | −19.1010 | + | 33.0839i | −0.615842 | + | 1.06667i | ||||
\(963\) | 23.3939 | + | 27.3629i | 0.753857 | + | 0.881756i | ||||
\(964\) | 4.44949 | + | 7.70674i | 0.143308 | + | 0.248217i | ||||
\(965\) | 13.9722 | + | 24.2005i | 0.449781 | + | 0.779043i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.29796 | − | 12.6404i | 0.234687 | − | 0.406489i | −0.724495 | − | 0.689280i | \(-0.757927\pi\) |
0.959182 | + | 0.282791i | \(0.0912603\pi\) | |||||||
\(968\) | −7.00000 | −0.224989 | ||||||||
\(969\) | −25.6969 | + | 2.36773i | −0.825505 | + | 0.0760623i | ||||
\(970\) | −23.7980 | −0.764106 | ||||||||
\(971\) | 26.9722 | + | 46.7172i | 0.865579 | + | 1.49923i | 0.866471 | + | 0.499227i | \(0.166383\pi\) |
−0.000892350 | 1.00000i | \(0.500284\pi\) | ||||||||
\(972\) | 12.9722 | + | 8.64420i | 0.416083 | + | 0.277263i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −11.1969 | − | 19.3937i | −0.358773 | − | 0.621413i | ||||
\(975\) | −24.4949 | + | 53.1687i | −0.784465 | + | 1.70276i | ||||
\(976\) | −5.72474 | − | 9.91555i | −0.183245 | − | 0.317389i | ||||
\(977\) | −0.797959 | − | 1.38211i | −0.0255290 | − | 0.0442175i | 0.852979 | − | 0.521946i | \(-0.174794\pi\) |
−0.878508 | + | 0.477728i | \(0.841460\pi\) | |||||||
\(978\) | 0.348469 | − | 0.0321081i | 0.0111428 | − | 0.00102670i | ||||
\(979\) | 7.10102 | + | 12.2993i | 0.226950 | + | 0.393088i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 16.6969 | − | 47.2261i | 0.533092 | − | 1.50781i | ||||
\(982\) | 1.89898 | + | 3.28913i | 0.0605989 | + | 0.104960i | ||||
\(983\) | 45.1918 | 1.44140 | 0.720698 | − | 0.693249i | \(-0.243822\pi\) | ||||
0.720698 | + | 0.693249i | \(0.243822\pi\) | |||||||
\(984\) | −7.10102 | + | 15.4135i | −0.226372 | + | 0.491364i | ||||
\(985\) | −43.7980 | −1.39552 | ||||||||
\(986\) | −2.89898 | + | 5.02118i | −0.0923223 | + | 0.159907i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 18.2474 | + | 31.6055i | 0.580529 | + | 1.00551i | ||||
\(989\) | −1.44949 | − | 2.51059i | −0.0460911 | − | 0.0798321i | ||||
\(990\) | −6.89898 | + | 19.5133i | −0.219264 | + | 0.620172i | ||||
\(991\) | −8.89898 | + | 15.4135i | −0.282685 | + | 0.489625i | −0.972045 | − | 0.234794i | \(-0.924559\pi\) |
0.689360 | + | 0.724419i | \(0.257892\pi\) | |||||||
\(992\) | −3.00000 | + | 5.19615i | −0.0952501 | + | 0.164978i | ||||
\(993\) | −17.8990 | + | 38.8515i | −0.568007 | + | 1.23292i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −11.8990 | + | 20.6096i | −0.377223 | + | 0.653369i | ||||
\(996\) | 1.44949 | − | 3.14626i | 0.0459288 | − | 0.0996932i | ||||
\(997\) | 17.8536 | 0.565428 | 0.282714 | − | 0.959204i | \(-0.408765\pi\) | ||||
0.282714 | + | 0.959204i | \(0.408765\pi\) | |||||||
\(998\) | −16.6969 | + | 28.9199i | −0.528532 | + | 0.915445i | ||||
\(999\) | −29.0454 | − | 28.2522i | −0.918956 | − | 0.893859i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))