Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1134,2,Mod(593,1134)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1134, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1134.593");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1134 = 2 \cdot 3^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1134.t (of order \(6\), 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: | \(9.05503558921\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\Q(\zeta_{24})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{2} \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 593.4 | ||
Root | \(-0.965926 - 0.258819i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1134.593 |
Dual form | 1134.2.t.e.1025.4 |
$q$-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 \(\left(\mathbb{Z}/1134\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(407\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.866025 | − | 0.500000i | 0.612372 | − | 0.353553i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.500000 | − | 0.866025i | 0.250000 | − | 0.433013i | ||||
\(5\) | 4.18154 | 1.87004 | 0.935021 | − | 0.354593i | \(-0.115380\pi\) | ||||
0.935021 | + | 0.354593i | \(0.115380\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.00000 | − | 2.44949i | −0.377964 | − | 0.925820i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 3.62132 | − | 2.09077i | 1.14516 | − | 0.661160i | ||||
\(11\) | 3.00000i | 0.904534i | 0.891883 | + | 0.452267i | \(0.149385\pi\) | ||||
−0.891883 | + | 0.452267i | \(0.850615\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.12132 | − | 1.22474i | 0.588348 | − | 0.339683i | −0.176096 | − | 0.984373i | \(-0.556347\pi\) |
0.764444 | + | 0.644690i | \(0.223014\pi\) | |||||||
\(14\) | −2.09077 | − | 1.62132i | −0.558782 | − | 0.433316i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | 0.507306 | + | 0.878680i | 0.123040 | + | 0.213111i | 0.920965 | − | 0.389645i | \(-0.127402\pi\) |
−0.797925 | + | 0.602756i | \(0.794069\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.878680 | − | 0.507306i | −0.201583 | − | 0.116384i | 0.395811 | − | 0.918332i | \(-0.370464\pi\) |
−0.597394 | + | 0.801948i | \(0.703797\pi\) | |||||||
\(20\) | 2.09077 | − | 3.62132i | 0.467510 | − | 0.809752i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 1.50000 | + | 2.59808i | 0.319801 | + | 0.553912i | ||||
\(23\) | − | 4.24264i | − | 0.884652i | −0.896854 | − | 0.442326i | \(-0.854153\pi\) | ||
0.896854 | − | 0.442326i | \(-0.145847\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 12.4853 | 2.49706 | ||||||||
\(26\) | 1.22474 | − | 2.12132i | 0.240192 | − | 0.416025i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −2.62132 | − | 0.358719i | −0.495383 | − | 0.0677916i | ||||
\(29\) | 1.07616 | + | 0.621320i | 0.199838 | + | 0.115376i | 0.596580 | − | 0.802554i | \(-0.296526\pi\) |
−0.396742 | + | 0.917930i | \(0.629859\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.86396 | − | 2.80821i | −0.873593 | − | 0.504369i | −0.00505256 | − | 0.999987i | \(-0.501608\pi\) |
−0.868541 | + | 0.495618i | \(0.834942\pi\) | |||||||
\(32\) | −0.866025 | − | 0.500000i | −0.153093 | − | 0.0883883i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.878680 | + | 0.507306i | 0.150692 | + | 0.0870023i | ||||
\(35\) | −4.18154 | − | 10.2426i | −0.706809 | − | 1.73132i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.12132 | + | 7.13834i | −0.677541 | + | 1.17354i | 0.298178 | + | 0.954510i | \(0.403621\pi\) |
−0.975719 | + | 0.219025i | \(0.929712\pi\) | |||||||
\(38\) | −1.01461 | −0.164592 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | − | 4.18154i | − | 0.661160i | ||||||
\(41\) | 1.01461 | + | 1.75736i | 0.158456 | + | 0.274453i | 0.934312 | − | 0.356456i | \(-0.116015\pi\) |
−0.775856 | + | 0.630910i | \(0.782682\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.12132 | + | 7.13834i | −0.628495 | + | 1.08859i | 0.359358 | + | 0.933200i | \(0.382996\pi\) |
−0.987854 | + | 0.155386i | \(0.950338\pi\) | |||||||
\(44\) | 2.59808 | + | 1.50000i | 0.391675 | + | 0.226134i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.12132 | − | 3.67423i | −0.312772 | − | 0.541736i | ||||
\(47\) | 0.507306 | + | 0.878680i | 0.0739982 | + | 0.128169i | 0.900650 | − | 0.434545i | \(-0.143091\pi\) |
−0.826652 | + | 0.562713i | \(0.809757\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.00000 | + | 4.89898i | −0.714286 | + | 0.699854i | ||||
\(50\) | 10.8126 | − | 6.24264i | 1.52913 | − | 0.882843i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | − | 2.44949i | − | 0.339683i | ||||||
\(53\) | −1.07616 | + | 0.621320i | −0.147822 | + | 0.0853449i | −0.572087 | − | 0.820193i | \(-0.693866\pi\) |
0.424265 | + | 0.905538i | \(0.360533\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 12.5446i | 1.69152i | ||||||||
\(56\) | −2.44949 | + | 1.00000i | −0.327327 | + | 0.133631i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1.24264 | 0.163167 | ||||||||
\(59\) | 5.76500 | − | 9.98528i | 0.750540 | − | 1.29997i | −0.197022 | − | 0.980399i | \(-0.563127\pi\) |
0.947561 | − | 0.319574i | \(-0.103540\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.12132 | + | 2.95680i | −0.655718 | + | 0.378579i | −0.790643 | − | 0.612277i | \(-0.790254\pi\) |
0.134926 | + | 0.990856i | \(0.456920\pi\) | |||||||
\(62\) | −5.61642 | −0.713286 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 8.87039 | − | 5.12132i | 1.10024 | − | 0.635222i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 5.00000 | − | 8.66025i | 0.610847 | − | 1.05802i | −0.380251 | − | 0.924883i | \(-0.624162\pi\) |
0.991098 | − | 0.133135i | \(-0.0425044\pi\) | |||||||
\(68\) | 1.01461 | 0.123040 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −8.74264 | − | 6.77962i | −1.04495 | − | 0.810319i | ||||
\(71\) | − | 10.2426i | − | 1.21558i | −0.794099 | − | 0.607789i | \(-0.792057\pi\) | ||
0.794099 | − | 0.607789i | \(-0.207943\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.24264 | − | 4.18154i | 0.847687 | − | 0.489412i | −0.0121828 | − | 0.999926i | \(-0.503878\pi\) |
0.859870 | + | 0.510513i | \(0.170545\pi\) | |||||||
\(74\) | 8.24264i | 0.958188i | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.878680 | + | 0.507306i | −0.100791 | + | 0.0581920i | ||||
\(77\) | 7.34847 | − | 3.00000i | 0.837436 | − | 0.341882i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.62132 | + | 9.73641i | 0.632448 | + | 1.09543i | 0.987050 | + | 0.160415i | \(0.0512831\pi\) |
−0.354602 | + | 0.935017i | \(0.615384\pi\) | |||||||
\(80\) | −2.09077 | − | 3.62132i | −0.233755 | − | 0.404876i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.75736 | + | 1.01461i | 0.194068 | + | 0.112045i | ||||
\(83\) | −1.58346 | + | 2.74264i | −0.173808 | + | 0.301044i | −0.939748 | − | 0.341868i | \(-0.888940\pi\) |
0.765940 | + | 0.642912i | \(0.222274\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.12132 | + | 3.67423i | 0.230089 | + | 0.398527i | ||||
\(86\) | 8.24264i | 0.888827i | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.00000 | 0.319801 | ||||||||
\(89\) | −5.19615 | + | 9.00000i | −0.550791 | + | 0.953998i | 0.447427 | + | 0.894321i | \(0.352341\pi\) |
−0.998218 | + | 0.0596775i | \(0.980993\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −5.12132 | − | 3.97141i | −0.536860 | − | 0.416317i | ||||
\(92\) | −3.67423 | − | 2.12132i | −0.383065 | − | 0.221163i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.878680 | + | 0.507306i | 0.0906289 | + | 0.0523246i | ||||
\(95\) | −3.67423 | − | 2.12132i | −0.376969 | − | 0.217643i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −3.25736 | − | 1.88064i | −0.330735 | − | 0.190950i | 0.325433 | − | 0.945565i | \(-0.394490\pi\) |
−0.656167 | + | 0.754615i | \(0.727823\pi\) | |||||||
\(98\) | −1.88064 | + | 6.74264i | −0.189973 | + | 0.681110i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 6.24264 | − | 10.8126i | 0.624264 | − | 1.08126i | ||||
\(101\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 15.2913i | 1.50670i | 0.657623 | + | 0.753348i | \(0.271562\pi\) | ||||
−0.657623 | + | 0.753348i | \(0.728438\pi\) | |||||||
\(104\) | −1.22474 | − | 2.12132i | −0.120096 | − | 0.208013i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.621320 | + | 1.07616i | −0.0603480 | + | 0.104526i | ||||
\(107\) | −4.75039 | − | 2.74264i | −0.459238 | − | 0.265141i | 0.252486 | − | 0.967601i | \(-0.418752\pi\) |
−0.711724 | + | 0.702459i | \(0.752085\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.757359 | − | 1.31178i | −0.0725419 | − | 0.125646i | 0.827473 | − | 0.561506i | \(-0.189778\pi\) |
−0.900015 | + | 0.435860i | \(0.856444\pi\) | |||||||
\(110\) | 6.27231 | + | 10.8640i | 0.598041 | + | 1.03584i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −1.62132 | + | 2.09077i | −0.153200 | + | 0.197559i | ||||
\(113\) | −7.34847 | + | 4.24264i | −0.691286 | + | 0.399114i | −0.804094 | − | 0.594503i | \(-0.797349\pi\) |
0.112808 | + | 0.993617i | \(0.464016\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | − | 17.7408i | − | 1.65434i | ||||||
\(116\) | 1.07616 | − | 0.621320i | 0.0999188 | − | 0.0576881i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 11.5300i | − | 1.06142i | ||||||
\(119\) | 1.64501 | − | 2.12132i | 0.150798 | − | 0.194461i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 2.00000 | 0.181818 | ||||||||
\(122\) | −2.95680 | + | 5.12132i | −0.267696 | + | 0.463663i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −4.86396 | + | 2.80821i | −0.436797 | + | 0.252185i | ||||
\(125\) | 31.3000 | 2.79956 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.24264 | −0.465209 | −0.232605 | − | 0.972571i | \(-0.574725\pi\) | ||||
−0.232605 | + | 0.972571i | \(0.574725\pi\) | |||||||
\(128\) | −0.866025 | + | 0.500000i | −0.0765466 | + | 0.0441942i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.12132 | − | 8.87039i | 0.449170 | − | 0.777984i | ||||
\(131\) | −5.19615 | −0.453990 | −0.226995 | − | 0.973896i | \(-0.572890\pi\) | ||||
−0.226995 | + | 0.973896i | \(0.572890\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.363961 | + | 2.65962i | −0.0315594 | + | 0.230619i | ||||
\(134\) | − | 10.0000i | − | 0.863868i | ||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.878680 | − | 0.507306i | 0.0753462 | − | 0.0435011i | ||||
\(137\) | − | 14.4853i | − | 1.23756i | −0.785564 | − | 0.618781i | \(-0.787627\pi\) | ||
0.785564 | − | 0.618781i | \(-0.212373\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −17.4853 | + | 10.0951i | −1.48308 | + | 0.856258i | −0.999815 | − | 0.0192152i | \(-0.993883\pi\) |
−0.483267 | + | 0.875473i | \(0.660550\pi\) | |||||||
\(140\) | −10.9612 | − | 1.50000i | −0.926387 | − | 0.126773i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −5.12132 | − | 8.87039i | −0.429772 | − | 0.744386i | ||||
\(143\) | 3.67423 | + | 6.36396i | 0.307255 | + | 0.532181i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 4.50000 | + | 2.59808i | 0.373705 | + | 0.215758i | ||||
\(146\) | 4.18154 | − | 7.24264i | 0.346067 | − | 0.599405i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.12132 | + | 7.13834i | 0.338770 | + | 0.586768i | ||||
\(149\) | − | 20.4853i | − | 1.67822i | −0.543962 | − | 0.839110i | \(-0.683076\pi\) | ||
0.543962 | − | 0.839110i | \(-0.316924\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −3.24264 | −0.263882 | −0.131941 | − | 0.991258i | \(-0.542121\pi\) | ||||
−0.131941 | + | 0.991258i | \(0.542121\pi\) | |||||||
\(152\) | −0.507306 | + | 0.878680i | −0.0411479 | + | 0.0712703i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 4.86396 | − | 6.27231i | 0.391949 | − | 0.505437i | ||||
\(155\) | −20.3389 | − | 11.7426i | −1.63366 | − | 0.943192i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 12.7279 | + | 7.34847i | 1.01580 | + | 0.586472i | 0.912884 | − | 0.408219i | \(-0.133850\pi\) |
0.102915 | + | 0.994690i | \(0.467183\pi\) | |||||||
\(158\) | 9.73641 | + | 5.62132i | 0.774587 | + | 0.447208i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.62132 | − | 2.09077i | −0.286291 | − | 0.165290i | ||||
\(161\) | −10.3923 | + | 4.24264i | −0.819028 | + | 0.334367i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.12132 | + | 5.40629i | −0.244481 | + | 0.423453i | −0.961985 | − | 0.273101i | \(-0.911951\pi\) |
0.717505 | + | 0.696554i | \(0.245284\pi\) | |||||||
\(164\) | 2.02922 | 0.158456 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 3.16693i | 0.245801i | ||||||||
\(167\) | 11.5300 | + | 19.9706i | 0.892219 | + | 1.54537i | 0.837209 | + | 0.546883i | \(0.184186\pi\) |
0.0550097 | + | 0.998486i | \(0.482481\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.50000 | + | 6.06218i | −0.269231 | + | 0.466321i | ||||
\(170\) | 3.67423 | + | 2.12132i | 0.281801 | + | 0.162698i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 4.12132 | + | 7.13834i | 0.314248 | + | 0.544293i | ||||
\(173\) | 10.3923 | + | 18.0000i | 0.790112 | + | 1.36851i | 0.925897 | + | 0.377776i | \(0.123311\pi\) |
−0.135785 | + | 0.990738i | \(0.543356\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −12.4853 | − | 30.5826i | −0.943799 | − | 2.31182i | ||||
\(176\) | 2.59808 | − | 1.50000i | 0.195837 | − | 0.113067i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 10.3923i | 0.778936i | ||||||||
\(179\) | −8.23999 | + | 4.75736i | −0.615886 | + | 0.355582i | −0.775265 | − | 0.631636i | \(-0.782384\pi\) |
0.159380 | + | 0.987217i | \(0.449051\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.02922i | 0.150831i | 0.997152 | + | 0.0754155i | \(0.0240283\pi\) | ||||
−0.997152 | + | 0.0754155i | \(0.975972\pi\) | |||||||
\(182\) | −6.42090 | − | 0.878680i | −0.475949 | − | 0.0651321i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.24264 | −0.312772 | ||||||||
\(185\) | −17.2335 | + | 29.8492i | −1.26703 | + | 2.19456i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −2.63604 | + | 1.52192i | −0.192766 | + | 0.111294i | ||||
\(188\) | 1.01461 | 0.0739982 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −4.24264 | −0.307794 | ||||||||
\(191\) | −7.34847 | + | 4.24264i | −0.531717 | + | 0.306987i | −0.741715 | − | 0.670715i | \(-0.765987\pi\) |
0.209999 | + | 0.977702i | \(0.432654\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 3.74264 | − | 6.48244i | 0.269401 | − | 0.466617i | −0.699306 | − | 0.714822i | \(-0.746508\pi\) |
0.968707 | + | 0.248206i | \(0.0798409\pi\) | |||||||
\(194\) | −3.76127 | −0.270044 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.74264 | + | 6.77962i | 0.124474 | + | 0.484258i | ||||
\(197\) | − | 9.51472i | − | 0.677896i | −0.940805 | − | 0.338948i | \(-0.889929\pi\) | ||
0.940805 | − | 0.338948i | \(-0.110071\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −13.9706 | + | 8.06591i | −0.990347 | + | 0.571777i | −0.905378 | − | 0.424607i | \(-0.860412\pi\) |
−0.0849690 | + | 0.996384i | \(0.527079\pi\) | |||||||
\(200\) | − | 12.4853i | − | 0.882843i | ||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0.445759 | − | 3.25736i | 0.0312862 | − | 0.228622i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 4.24264 | + | 7.34847i | 0.296319 | + | 0.513239i | ||||
\(206\) | 7.64564 | + | 13.2426i | 0.532697 | + | 0.922658i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.12132 | − | 1.22474i | −0.147087 | − | 0.0849208i | ||||
\(209\) | 1.52192 | − | 2.63604i | 0.105273 | − | 0.182339i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −4.12132 | − | 7.13834i | −0.283723 | − | 0.491423i | 0.688575 | − | 0.725165i | \(-0.258236\pi\) |
−0.972299 | + | 0.233741i | \(0.924903\pi\) | |||||||
\(212\) | 1.24264i | 0.0853449i | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −5.48528 | −0.374966 | ||||||||
\(215\) | −17.2335 | + | 29.8492i | −1.17531 | + | 2.03570i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.01472 | + | 14.7224i | −0.136768 | + | 0.999424i | ||||
\(218\) | −1.31178 | − | 0.757359i | −0.0888453 | − | 0.0512948i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 10.8640 | + | 6.27231i | 0.732448 | + | 0.422879i | ||||
\(221\) | 2.15232 | + | 1.24264i | 0.144780 | + | 0.0835891i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 10.8640 | + | 6.27231i | 0.727505 | + | 0.420025i | 0.817509 | − | 0.575916i | \(-0.195355\pi\) |
−0.0900039 | + | 0.995941i | \(0.528688\pi\) | |||||||
\(224\) | −0.358719 | + | 2.62132i | −0.0239680 | + | 0.175144i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.24264 | + | 7.34847i | −0.282216 | + | 0.488813i | ||||
\(227\) | 15.5885 | 1.03464 | 0.517321 | − | 0.855791i | \(-0.326929\pi\) | ||||
0.517321 | + | 0.855791i | \(0.326929\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 13.8564i | 0.915657i | 0.889041 | + | 0.457829i | \(0.151373\pi\) | ||||
−0.889041 | + | 0.457829i | \(0.848627\pi\) | |||||||
\(230\) | −8.87039 | − | 15.3640i | −0.584896 | − | 1.01307i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0.621320 | − | 1.07616i | 0.0407917 | − | 0.0706533i | ||||
\(233\) | 5.82655 | + | 3.36396i | 0.381710 | + | 0.220380i | 0.678562 | − | 0.734543i | \(-0.262603\pi\) |
−0.296852 | + | 0.954924i | \(0.595937\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.12132 | + | 3.67423i | 0.138380 | + | 0.239681i | ||||
\(236\) | −5.76500 | − | 9.98528i | −0.375270 | − | 0.649986i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.363961 | − | 2.65962i | 0.0235921 | − | 0.172398i | ||||
\(239\) | −11.0227 | + | 6.36396i | −0.712999 | + | 0.411650i | −0.812171 | − | 0.583420i | \(-0.801714\pi\) |
0.0991712 | + | 0.995070i | \(0.468381\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 17.0233i | 1.09657i | 0.836292 | + | 0.548285i | \(0.184719\pi\) | ||||
−0.836292 | + | 0.548285i | \(0.815281\pi\) | |||||||
\(242\) | 1.73205 | − | 1.00000i | 0.111340 | − | 0.0642824i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.91359i | 0.378579i | ||||||||
\(245\) | −20.9077 | + | 20.4853i | −1.33574 | + | 1.30876i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.48528 | −0.158135 | ||||||||
\(248\) | −2.80821 | + | 4.86396i | −0.178321 | + | 0.308862i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 27.1066 | − | 15.6500i | 1.71437 | − | 0.989793i | ||||
\(251\) | 17.6177 | 1.11202 | 0.556009 | − | 0.831176i | \(-0.312332\pi\) | ||||
0.556009 | + | 0.831176i | \(0.312332\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 12.7279 | 0.800198 | ||||||||
\(254\) | −4.54026 | + | 2.62132i | −0.284881 | + | 0.164476i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −25.0892 | −1.56502 | −0.782512 | − | 0.622636i | \(-0.786062\pi\) | ||||
−0.782512 | + | 0.622636i | \(0.786062\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 21.6066 | + | 2.95680i | 1.34257 | + | 0.183726i | ||||
\(260\) | − | 10.2426i | − | 0.635222i | ||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −4.50000 | + | 2.59808i | −0.278011 | + | 0.160510i | ||||
\(263\) | 27.2132i | 1.67804i | 0.544102 | + | 0.839019i | \(0.316870\pi\) | ||||
−0.544102 | + | 0.839019i | \(0.683130\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.50000 | + | 2.59808i | −0.276433 | + | 0.159599i | ||||
\(266\) | 1.01461 | + | 2.48528i | 0.0622098 | + | 0.152382i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.00000 | − | 8.66025i | −0.305424 | − | 0.529009i | ||||
\(269\) | −5.25770 | − | 9.10660i | −0.320568 | − | 0.555239i | 0.660038 | − | 0.751232i | \(-0.270540\pi\) |
−0.980605 | + | 0.195993i | \(0.937207\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −9.62132 | − | 5.55487i | −0.584454 | − | 0.337434i | 0.178448 | − | 0.983949i | \(-0.442892\pi\) |
−0.762901 | + | 0.646515i | \(0.776226\pi\) | |||||||
\(272\) | 0.507306 | − | 0.878680i | 0.0307599 | − | 0.0532778i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −7.24264 | − | 12.5446i | −0.437544 | − | 0.757848i | ||||
\(275\) | 37.4558i | 2.25867i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −20.9706 | −1.26000 | −0.630000 | − | 0.776596i | \(-0.716945\pi\) | ||||
−0.630000 | + | 0.776596i | \(0.716945\pi\) | |||||||
\(278\) | −10.0951 | + | 17.4853i | −0.605466 | + | 1.04870i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −10.2426 | + | 4.18154i | −0.612115 | + | 0.249895i | ||||
\(281\) | −5.19615 | − | 3.00000i | −0.309976 | − | 0.178965i | 0.336939 | − | 0.941526i | \(-0.390608\pi\) |
−0.646916 | + | 0.762561i | \(0.723942\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 5.63604 | + | 3.25397i | 0.335028 | + | 0.193428i | 0.658071 | − | 0.752956i | \(-0.271373\pi\) |
−0.323043 | + | 0.946384i | \(0.604706\pi\) | |||||||
\(284\) | −8.87039 | − | 5.12132i | −0.526361 | − | 0.303894i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 6.36396 | + | 3.67423i | 0.376309 | + | 0.217262i | ||||
\(287\) | 3.29002 | − | 4.24264i | 0.194204 | − | 0.250435i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 7.98528 | − | 13.8309i | 0.469722 | − | 0.813583i | ||||
\(290\) | 5.19615 | 0.305129 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | − | 8.36308i | − | 0.489412i | ||||||
\(293\) | 2.09077 | + | 3.62132i | 0.122144 | + | 0.211560i | 0.920613 | − | 0.390476i | \(-0.127690\pi\) |
−0.798469 | + | 0.602036i | \(0.794356\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 24.1066 | − | 41.7539i | 1.40354 | − | 2.43100i | ||||
\(296\) | 7.13834 | + | 4.12132i | 0.414907 | + | 0.239547i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.2426 | − | 17.7408i | −0.593340 | − | 1.02770i | ||||
\(299\) | −5.19615 | − | 9.00000i | −0.300501 | − | 0.520483i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 21.6066 | + | 2.95680i | 1.24538 | + | 0.170427i | ||||
\(302\) | −2.80821 | + | 1.62132i | −0.161594 | + | 0.0932965i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 1.01461i | 0.0581920i | ||||||||
\(305\) | −21.4150 | + | 12.3640i | −1.22622 | + | 0.707958i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | − | 24.6690i | − | 1.40793i | −0.710233 | − | 0.703966i | \(-0.751411\pi\) | ||
0.710233 | − | 0.703966i | \(-0.248589\pi\) | |||||||
\(308\) | 1.07616 | − | 7.86396i | 0.0613198 | − | 0.448091i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −23.4853 | −1.33387 | ||||||||
\(311\) | 9.37769 | − | 16.2426i | 0.531760 | − | 0.921036i | −0.467552 | − | 0.883965i | \(-0.654864\pi\) |
0.999313 | − | 0.0370703i | \(-0.0118026\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 0.985281 | − | 0.568852i | 0.0556914 | − | 0.0321534i | −0.471896 | − | 0.881654i | \(-0.656430\pi\) |
0.527587 | + | 0.849501i | \(0.323097\pi\) | |||||||
\(314\) | 14.6969 | 0.829396 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 11.2426 | 0.632448 | ||||||||
\(317\) | −6.27231 | + | 3.62132i | −0.352288 | + | 0.203394i | −0.665693 | − | 0.746226i | \(-0.731864\pi\) |
0.313404 | + | 0.949620i | \(0.398530\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.86396 | + | 3.22848i | −0.104362 | + | 0.180760i | ||||
\(320\) | −4.18154 | −0.233755 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.87868 | + | 8.87039i | −0.383334 | + | 0.494327i | ||||
\(323\) | − | 1.02944i | − | 0.0572794i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 26.4853 | − | 15.2913i | 1.46914 | − | 0.848208i | ||||
\(326\) | 6.24264i | 0.345748i | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.75736 | − | 1.01461i | 0.0970339 | − | 0.0560226i | ||||
\(329\) | 1.64501 | − | 2.12132i | 0.0906924 | − | 0.116952i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −8.72792 | − | 15.1172i | −0.479730 | − | 0.830917i | 0.520000 | − | 0.854166i | \(-0.325932\pi\) |
−0.999730 | + | 0.0232497i | \(0.992599\pi\) | |||||||
\(332\) | 1.58346 | + | 2.74264i | 0.0869039 | + | 0.150522i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 19.9706 | + | 11.5300i | 1.09274 | + | 0.630894i | ||||
\(335\) | 20.9077 | − | 36.2132i | 1.14231 | − | 1.97854i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.50000 | + | 4.33013i | 0.136184 | + | 0.235877i | 0.926049 | − | 0.377403i | \(-0.123183\pi\) |
−0.789865 | + | 0.613280i | \(0.789850\pi\) | |||||||
\(338\) | 7.00000i | 0.380750i | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.24264 | 0.230089 | ||||||||
\(341\) | 8.42463 | − | 14.5919i | 0.456219 | − | 0.790195i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.0000 | + | 7.34847i | 0.917914 | + | 0.396780i | ||||
\(344\) | 7.13834 | + | 4.12132i | 0.384873 | + | 0.222207i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 18.0000 | + | 10.3923i | 0.967686 | + | 0.558694i | ||||
\(347\) | −12.5446 | − | 7.24264i | −0.673431 | − | 0.388805i | 0.123945 | − | 0.992289i | \(-0.460445\pi\) |
−0.797375 | + | 0.603484i | \(0.793779\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −31.9706 | − | 18.4582i | −1.71134 | − | 0.988045i | −0.932754 | − | 0.360514i | \(-0.882601\pi\) |
−0.778591 | − | 0.627531i | \(-0.784065\pi\) | |||||||
\(350\) | −26.1039 | − | 20.2426i | −1.39531 | − | 1.08201i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.50000 | − | 2.59808i | 0.0799503 | − | 0.138478i | ||||
\(353\) | −18.7554 | −0.998248 | −0.499124 | − | 0.866530i | \(-0.666345\pi\) | ||||
−0.499124 | + | 0.866530i | \(0.666345\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | − | 42.8300i | − | 2.27318i | ||||||
\(356\) | 5.19615 | + | 9.00000i | 0.275396 | + | 0.476999i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.75736 | + | 8.23999i | −0.251434 | + | 0.435497i | ||||
\(359\) | 15.5885 | + | 9.00000i | 0.822727 | + | 0.475002i | 0.851356 | − | 0.524588i | \(-0.175781\pi\) |
−0.0286287 | + | 0.999590i | \(0.509114\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.98528 | − | 15.5630i | −0.472910 | − | 0.819103i | ||||
\(362\) | 1.01461 | + | 1.75736i | 0.0533268 | + | 0.0923648i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.00000 | + | 2.44949i | −0.314485 | + | 0.128388i | ||||
\(365\) | 30.2854 | − | 17.4853i | 1.58521 | − | 0.915221i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 18.8785i | 0.985449i | 0.870185 | + | 0.492724i | \(0.163999\pi\) | ||||
−0.870185 | + | 0.492724i | \(0.836001\pi\) | |||||||
\(368\) | −3.67423 | + | 2.12132i | −0.191533 | + | 0.110581i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 34.4669i | 1.79185i | ||||||||
\(371\) | 2.59808 | + | 2.01472i | 0.134885 | + | 0.104599i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 21.4558 | 1.11094 | 0.555471 | − | 0.831536i | \(-0.312538\pi\) | ||||
0.555471 | + | 0.831536i | \(0.312538\pi\) | |||||||
\(374\) | −1.52192 | + | 2.63604i | −0.0786965 | + | 0.136306i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0.878680 | − | 0.507306i | 0.0453144 | − | 0.0261623i | ||||
\(377\) | 3.04384 | 0.156766 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.48528 | −0.230393 | −0.115197 | − | 0.993343i | \(-0.536750\pi\) | ||||
−0.115197 | + | 0.993343i | \(0.536750\pi\) | |||||||
\(380\) | −3.67423 | + | 2.12132i | −0.188484 | + | 0.108821i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −4.24264 | + | 7.34847i | −0.217072 | + | 0.375980i | ||||
\(383\) | −12.4215 | −0.634710 | −0.317355 | − | 0.948307i | \(-0.602795\pi\) | ||||
−0.317355 | + | 0.948307i | \(0.602795\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 30.7279 | − | 12.5446i | 1.56604 | − | 0.639333i | ||||
\(386\) | − | 7.48528i | − | 0.380991i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −3.25736 | + | 1.88064i | −0.165367 | + | 0.0954749i | ||||
\(389\) | − | 19.4558i | − | 0.986450i | −0.869902 | − | 0.493225i | \(-0.835818\pi\) | ||
0.869902 | − | 0.493225i | \(-0.164182\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.72792 | − | 2.15232i | 0.188529 | − | 0.108847i | ||||
\(392\) | 4.89898 | + | 5.00000i | 0.247436 | + | 0.252538i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4.75736 | − | 8.23999i | −0.239672 | − | 0.415125i | ||||
\(395\) | 23.5058 | + | 40.7132i | 1.18270 | + | 2.04850i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 12.0000 | + | 6.92820i | 0.602263 | + | 0.347717i | 0.769931 | − | 0.638127i | \(-0.220290\pi\) |
−0.167668 | + | 0.985843i | \(0.553624\pi\) | |||||||
\(398\) | −8.06591 | + | 13.9706i | −0.404307 | + | 0.700281i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −6.24264 | − | 10.8126i | −0.312132 | − | 0.540629i | ||||
\(401\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.7574 | −0.685303 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.24264 | − | 3.04384i | −0.0616712 | − | 0.151063i | ||||
\(407\) | −21.4150 | − | 12.3640i | −1.06150 | − | 0.612859i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.98528 | + | 2.30090i | 0.197059 | + | 0.113772i | 0.595283 | − | 0.803516i | \(-0.297040\pi\) |
−0.398224 | + | 0.917288i | \(0.630373\pi\) | |||||||
\(410\) | 7.34847 | + | 4.24264i | 0.362915 | + | 0.209529i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 13.2426 | + | 7.64564i | 0.652418 | + | 0.376674i | ||||
\(413\) | −30.2238 | − | 4.13604i | −1.48722 | − | 0.203521i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −6.62132 | + | 11.4685i | −0.325028 | + | 0.562965i | ||||
\(416\) | −2.44949 | −0.120096 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | − | 3.04384i | − | 0.148879i | ||||||
\(419\) | 2.02922 | + | 3.51472i | 0.0991341 | + | 0.171705i | 0.911326 | − | 0.411684i | \(-0.135059\pi\) |
−0.812192 | + | 0.583390i | \(0.801726\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2.87868 | − | 4.98602i | 0.140298 | − | 0.243004i | −0.787311 | − | 0.616557i | \(-0.788527\pi\) |
0.927609 | + | 0.373553i | \(0.121861\pi\) | |||||||
\(422\) | −7.13834 | − | 4.12132i | −0.347489 | − | 0.200623i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0.621320 | + | 1.07616i | 0.0301740 | + | 0.0522629i | ||||
\(425\) | 6.33386 | + | 10.9706i | 0.307237 | + | 0.532150i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 12.3640 | + | 9.58783i | 0.598334 | + | 0.463987i | ||||
\(428\) | −4.75039 | + | 2.74264i | −0.229619 | + | 0.132571i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 34.4669i | 1.66214i | ||||||||
\(431\) | 17.7408 | − | 10.2426i | 0.854543 | − | 0.493371i | −0.00763808 | − | 0.999971i | \(-0.502431\pi\) |
0.862181 | + | 0.506600i | \(0.169098\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 3.46410i | − | 0.166474i | −0.996530 | − | 0.0832370i | \(-0.973474\pi\) | ||
0.996530 | − | 0.0832370i | \(-0.0265259\pi\) | |||||||
\(434\) | 5.61642 | + | 13.7574i | 0.269597 | + | 0.660374i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.51472 | −0.0725419 | ||||||||
\(437\) | −2.15232 | + | 3.72792i | −0.102959 | + | 0.178331i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −23.5919 | + | 13.6208i | −1.12598 | + | 0.650084i | −0.942921 | − | 0.333018i | \(-0.891933\pi\) |
−0.183059 | + | 0.983102i | \(0.558600\pi\) | |||||||
\(440\) | 12.5446 | 0.598041 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 2.48528 | 0.118213 | ||||||||
\(443\) | 29.8396 | − | 17.2279i | 1.41772 | − | 0.818523i | 0.421625 | − | 0.906770i | \(-0.361460\pi\) |
0.996099 | + | 0.0882469i | \(0.0281264\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −21.7279 | + | 37.6339i | −1.03000 | + | 1.78402i | ||||
\(446\) | 12.5446 | 0.594005 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.00000 | + | 2.44949i | 0.0472456 | + | 0.115728i | ||||
\(449\) | − | 10.2426i | − | 0.483380i | −0.970354 | − | 0.241690i | \(-0.922298\pi\) | ||
0.970354 | − | 0.241690i | \(-0.0777017\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −5.27208 | + | 3.04384i | −0.248252 | + | 0.143329i | ||||
\(452\) | 8.48528i | 0.399114i | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 13.5000 | − | 7.79423i | 0.633586 | − | 0.365801i | ||||
\(455\) | −21.4150 | − | 16.6066i | −1.00395 | − | 0.778529i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 11.5000 | + | 19.9186i | 0.537947 | + | 0.931752i | 0.999014 | + | 0.0443868i | \(0.0141334\pi\) |
−0.461067 | + | 0.887365i | \(0.652533\pi\) | |||||||
\(458\) | 6.92820 | + | 12.0000i | 0.323734 | + | 0.560723i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −15.3640 | − | 8.87039i | −0.716348 | − | 0.413584i | ||||
\(461\) | 11.4069 | − | 19.7574i | 0.531273 | − | 0.920192i | −0.468061 | − | 0.883696i | \(-0.655047\pi\) |
0.999334 | − | 0.0364957i | \(-0.0116195\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −10.7279 | − | 18.5813i | −0.498569 | − | 0.863547i | 0.501430 | − | 0.865198i | \(-0.332808\pi\) |
−0.999999 | + | 0.00165180i | \(0.999474\pi\) | |||||||
\(464\) | − | 1.24264i | − | 0.0576881i | ||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 6.72792 | 0.311665 | ||||||||
\(467\) | 9.50079 | − | 16.4558i | 0.439644 | − | 0.761486i | −0.558018 | − | 0.829829i | \(-0.688438\pi\) |
0.997662 | + | 0.0683432i | \(0.0217713\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −26.2132 | − | 3.58719i | −1.21041 | − | 0.165641i | ||||
\(470\) | 3.67423 | + | 2.12132i | 0.169480 | + | 0.0978492i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −9.98528 | − | 5.76500i | −0.459610 | − | 0.265356i | ||||
\(473\) | −21.4150 | − | 12.3640i | −0.984663 | − | 0.568496i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −10.9706 | − | 6.33386i | −0.503364 | − | 0.290617i | ||||
\(476\) | −1.01461 | − | 2.48528i | −0.0465047 | − | 0.113913i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −6.36396 | + | 11.0227i | −0.291081 | + | 0.504167i | ||||
\(479\) | 36.4962 | 1.66755 | 0.833776 | − | 0.552103i | \(-0.186174\pi\) | ||||
0.833776 | + | 0.552103i | \(0.186174\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 20.1903i | 0.920597i | ||||||||
\(482\) | 8.51167 | + | 14.7426i | 0.387696 | + | 0.671509i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1.00000 | − | 1.73205i | 0.0454545 | − | 0.0787296i | ||||
\(485\) | −13.6208 | − | 7.86396i | −0.618488 | − | 0.357084i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −14.1066 | − | 24.4334i | −0.639231 | − | 1.10718i | −0.985602 | − | 0.169083i | \(-0.945919\pi\) |
0.346371 | − | 0.938098i | \(-0.387414\pi\) | |||||||
\(488\) | 2.95680 | + | 5.12132i | 0.133848 | + | 0.231831i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −7.86396 | + | 28.1946i | −0.355258 | + | 1.27370i | ||||
\(491\) | 17.2950 | − | 9.98528i | 0.780513 | − | 0.450629i | −0.0560990 | − | 0.998425i | \(-0.517866\pi\) |
0.836612 | + | 0.547796i | \(0.184533\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.26080i | 0.0567835i | ||||||||
\(494\) | −2.15232 | + | 1.24264i | −0.0968373 | + | 0.0559090i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.61642i | 0.252185i | ||||||||
\(497\) | −25.0892 | + | 10.2426i | −1.12541 | + | 0.459445i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −35.9411 | −1.60895 | −0.804473 | − | 0.593989i | \(-0.797552\pi\) | ||||
−0.804473 | + | 0.593989i | \(0.797552\pi\) | |||||||
\(500\) | 15.6500 | − | 27.1066i | 0.699889 | − | 1.21224i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 15.2574 | − | 8.80884i | 0.680969 | − | 0.393158i | ||||
\(503\) | −3.29002 | −0.146695 | −0.0733474 | − | 0.997306i | \(-0.523368\pi\) | ||||
−0.0733474 | + | 0.997306i | \(0.523368\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 11.0227 | − | 6.36396i | 0.490019 | − | 0.282913i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −2.62132 | + | 4.54026i | −0.116302 | + | 0.201441i | ||||
\(509\) | 41.6923 | 1.84798 | 0.923990 | − | 0.382418i | \(-0.124908\pi\) | ||||
0.923990 | + | 0.382418i | \(0.124908\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −17.4853 | − | 13.5592i | −0.773503 | − | 0.599825i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −21.7279 | + | 12.5446i | −0.958378 | + | 0.553320i | ||||
\(515\) | 63.9411i | 2.81758i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.63604 | + | 1.52192i | −0.115933 | + | 0.0669339i | ||||
\(518\) | 20.1903 | − | 8.24264i | 0.887109 | − | 0.362161i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −5.12132 | − | 8.87039i | −0.224585 | − | 0.388992i | ||||
\(521\) | −10.0081 | − | 17.3345i | −0.438462 | − | 0.759439i | 0.559109 | − | 0.829094i | \(-0.311143\pi\) |
−0.997571 | + | 0.0696551i | \(0.977810\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −23.8492 | − | 13.7694i | −1.04285 | − | 0.602092i | −0.122214 | − | 0.992504i | \(-0.538999\pi\) |
−0.920641 | + | 0.390411i | \(0.872333\pi\) | |||||||
\(524\) | −2.59808 | + | 4.50000i | −0.113497 | + | 0.196583i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 13.6066 | + | 23.5673i | 0.593276 | + | 1.02758i | ||||
\(527\) | − | 5.69848i | − | 0.248230i | ||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.00000 | 0.217391 | ||||||||
\(530\) | −2.59808 | + | 4.50000i | −0.112853 | + | 0.195468i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 2.12132 | + | 1.64501i | 0.0919709 | + | 0.0713203i | ||||
\(533\) | 4.30463 | + | 2.48528i | 0.186454 | + | 0.107649i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.8640 | − | 11.4685i | −0.858794 | − | 0.495825i | ||||
\(536\) | −8.66025 | − | 5.00000i | −0.374066 | − | 0.215967i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −9.10660 | − | 5.25770i | −0.392613 | − | 0.226675i | ||||
\(539\) | −14.6969 | − | 15.0000i | −0.633042 | − | 0.646096i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5.36396 | − | 9.29065i | 0.230615 | − | 0.399436i | −0.727374 | − | 0.686241i | \(-0.759260\pi\) |
0.957989 | + | 0.286804i | \(0.0925930\pi\) | |||||||
\(542\) | −11.1097 | −0.477204 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | − | 1.01461i | − | 0.0435011i | ||||||
\(545\) | −3.16693 | − | 5.48528i | −0.135656 | − | 0.234964i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −9.84924 | + | 17.0594i | −0.421123 | + | 0.729407i | −0.996050 | − | 0.0887983i | \(-0.971697\pi\) |
0.574926 | + | 0.818205i | \(0.305031\pi\) | |||||||
\(548\) | −12.5446 | − | 7.24264i | −0.535880 | − | 0.309390i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 18.7279 | + | 32.4377i | 0.798561 | + | 1.38315i | ||||
\(551\) | −0.630399 | − | 1.09188i | −0.0268559 | − | 0.0465158i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 18.2279 | − | 23.5058i | 0.775130 | − | 0.999567i | ||||
\(554\) | −18.1610 | + | 10.4853i | −0.771589 | + | 0.445477i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 20.1903i | 0.856258i | ||||||||
\(557\) | 13.6208 | − | 7.86396i | 0.577131 | − | 0.333207i | −0.182861 | − | 0.983139i | \(-0.558536\pi\) |
0.759992 | + | 0.649932i | \(0.225203\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 20.1903i | 0.853957i | ||||||||
\(560\) | −6.77962 | + | 8.74264i | −0.286491 | + | 0.369444i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −6.00000 | −0.253095 | ||||||||
\(563\) | 12.0989 | − | 20.9558i | 0.509906 | − | 0.883184i | −0.490028 | − | 0.871707i | \(-0.663013\pi\) |
0.999934 | − | 0.0114768i | \(-0.00365325\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −30.7279 | + | 17.7408i | −1.29273 | + | 0.746360i | ||||
\(566\) | 6.50794 | 0.273549 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −10.2426 | −0.429772 | ||||||||
\(569\) | −1.52192 | + | 0.878680i | −0.0638021 | + | 0.0368362i | −0.531562 | − | 0.847020i | \(-0.678395\pi\) |
0.467760 | + | 0.883856i | \(0.345061\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 8.36396 | − | 14.4868i | 0.350021 | − | 0.606254i | −0.636232 | − | 0.771498i | \(-0.719508\pi\) |
0.986253 | + | 0.165244i | \(0.0528412\pi\) | |||||||
\(572\) | 7.34847 | 0.307255 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0.727922 | − | 5.31925i | 0.0303829 | − | 0.222021i | ||||
\(575\) | − | 52.9706i | − | 2.20903i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 17.7426 | − | 10.2437i | 0.738636 | − | 0.426452i | −0.0829373 | − | 0.996555i | \(-0.526430\pi\) |
0.821573 | + | 0.570103i | \(0.193097\pi\) | |||||||
\(578\) | − | 15.9706i | − | 0.664288i | ||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.50000 | − | 2.59808i | 0.186852 | − | 0.107879i | ||||
\(581\) | 8.30153 | + | 1.13604i | 0.344406 | + | 0.0471308i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.86396 | − | 3.22848i | −0.0771974 | − | 0.133710i | ||||
\(584\) | −4.18154 | − | 7.24264i | −0.173033 | − | 0.299703i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.62132 | + | 2.09077i | 0.149595 | + | 0.0863689i | ||||
\(587\) | 2.59808 | − | 4.50000i | 0.107234 | − | 0.185735i | −0.807415 | − | 0.589984i | \(-0.799134\pi\) |
0.914649 | + | 0.404249i | \(0.132467\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.84924 | + | 4.93503i | 0.117401 | + | 0.203344i | ||||
\(590\) | − | 48.2132i | − | 1.98491i | ||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 8.24264 | 0.338770 | ||||||||
\(593\) | −15.2042 | + | 26.3345i | −0.624363 | + | 1.08143i | 0.364300 | + | 0.931282i | \(0.381308\pi\) |
−0.988664 | + | 0.150148i | \(0.952025\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 6.87868 | − | 8.87039i | 0.281998 | − | 0.363650i | ||||
\(596\) | −17.7408 | − | 10.2426i | −0.726690 | − | 0.419555i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −9.00000 | − | 5.19615i | −0.368037 | − | 0.212486i | ||||
\(599\) | 37.6339 | + | 21.7279i | 1.53768 | + | 0.887779i | 0.998974 | + | 0.0452836i | \(0.0144192\pi\) |
0.538704 | + | 0.842495i | \(0.318914\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.22792 | + | 3.01834i | 0.213251 | + | 0.123121i | 0.602822 | − | 0.797876i | \(-0.294043\pi\) |
−0.389570 | + | 0.920997i | \(0.627376\pi\) | |||||||
\(602\) | 20.1903 | − | 8.24264i | 0.822894 | − | 0.335945i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −1.62132 | + | 2.80821i | −0.0659706 | + | 0.114264i | ||||
\(605\) | 8.36308 | 0.340008 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 24.9662i | 1.01334i | 0.862139 | + | 0.506672i | \(0.169125\pi\) | ||||
−0.862139 | + | 0.506672i | \(0.830875\pi\) | |||||||
\(608\) | 0.507306 | + | 0.878680i | 0.0205740 | + | 0.0356352i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −12.3640 | + | 21.4150i | −0.500602 | + | 0.867068i | ||||
\(611\) | 2.15232 | + | 1.24264i | 0.0870734 | + | 0.0502719i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.60660 | − | 4.51477i | −0.105280 | − | 0.182350i | 0.808573 | − | 0.588396i | \(-0.200240\pi\) |
−0.913852 | + | 0.406046i | \(0.866907\pi\) | |||||||
\(614\) | −12.3345 | − | 21.3640i | −0.497779 | − | 0.862179i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.00000 | − | 7.34847i | −0.120873 | − | 0.296078i | ||||
\(617\) | 36.1119 | − | 20.8492i | 1.45381 | − | 0.839359i | 0.455117 | − | 0.890431i | \(-0.349597\pi\) |
0.998695 | + | 0.0510726i | \(0.0162640\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − | 47.7290i | − | 1.91839i | −0.282745 | − | 0.959195i | \(-0.591245\pi\) | ||
0.282745 | − | 0.959195i | \(-0.408755\pi\) | |||||||
\(620\) | −20.3389 | + | 11.7426i | −0.816828 | + | 0.471596i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 18.7554i | − | 0.752022i | ||||||
\(623\) | 27.2416 | + | 3.72792i | 1.09141 | + | 0.149356i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 68.4558 | 2.73823 | ||||||||
\(626\) | 0.568852 | − | 0.985281i | 0.0227359 | − | 0.0393798i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.7279 | − | 7.34847i | 0.507899 | − | 0.293236i | ||||
\(629\) | −8.36308 | −0.333458 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 33.2426 | 1.32337 | 0.661684 | − | 0.749783i | \(-0.269842\pi\) | ||||
0.661684 | + | 0.749783i | \(0.269842\pi\) | |||||||
\(632\) | 9.73641 | − | 5.62132i | 0.387294 | − | 0.223604i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −3.62132 | + | 6.27231i | −0.143821 | + | 0.249105i | ||||
\(635\) | −21.9223 | −0.869961 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.60660 | + | 16.5160i | −0.182520 | + | 0.654389i | ||||
\(638\) | 3.72792i | 0.147590i | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.62132 | + | 2.09077i | −0.143145 | + | 0.0826450i | ||||
\(641\) | − | 41.6985i | − | 1.64699i | −0.567323 | − | 0.823496i | \(-0.692021\pi\) | ||
0.567323 | − | 0.823496i | \(-0.307979\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 2.27208 | − | 1.31178i | 0.0896020 | − | 0.0517317i | −0.454530 | − | 0.890732i | \(-0.650193\pi\) |
0.544132 | + | 0.839000i | \(0.316859\pi\) | |||||||
\(644\) | −1.52192 | + | 11.1213i | −0.0599720 | + | 0.438241i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.514719 | − | 0.891519i | −0.0202513 | − | 0.0350763i | ||||
\(647\) | −5.82655 | − | 10.0919i | −0.229065 | − | 0.396753i | 0.728466 | − | 0.685082i | \(-0.240234\pi\) |
−0.957531 | + | 0.288329i | \(0.906900\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 29.9558 | + | 17.2950i | 1.17587 | + | 0.678889i | ||||
\(650\) | 15.2913 | − | 26.4853i | 0.599774 | − | 1.03884i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 3.12132 | + | 5.40629i | 0.122240 | + | 0.211726i | ||||
\(653\) | 10.7574i | 0.420968i | 0.977597 | + | 0.210484i | \(0.0675040\pi\) | ||||
−0.977597 | + | 0.210484i | \(0.932496\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −21.7279 | −0.848980 | ||||||||
\(656\) | 1.01461 | − | 1.75736i | 0.0396139 | − | 0.0686134i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.363961 | − | 2.65962i | 0.0141887 | − | 0.103683i | ||||
\(659\) | −5.19615 | − | 3.00000i | −0.202413 | − | 0.116863i | 0.395367 | − | 0.918523i | \(-0.370617\pi\) |
−0.597781 | + | 0.801660i | \(0.703951\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −35.1213 | − | 20.2773i | −1.36606 | − | 0.788696i | −0.375639 | − | 0.926766i | \(-0.622577\pi\) |
−0.990422 | + | 0.138071i | \(0.955910\pi\) | |||||||
\(662\) | −15.1172 | − | 8.72792i | −0.587547 | − | 0.339220i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.74264 | + | 1.58346i | 0.106435 | + | 0.0614503i | ||||
\(665\) | −1.52192 | + | 11.1213i | −0.0590174 | + | 0.431266i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 2.63604 | − | 4.56575i | 0.102068 | − | 0.176787i | ||||
\(668\) | 23.0600 | 0.892219 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | − | 41.8154i | − | 1.61547i | ||||||
\(671\) | −8.87039 | − | 15.3640i | −0.342437 | − | 0.593119i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 7.98528 | − | 13.8309i | 0.307810 | − | 0.533143i | −0.670073 | − | 0.742295i | \(-0.733737\pi\) |
0.977883 | + | 0.209153i | \(0.0670706\pi\) | |||||||
\(674\) | 4.33013 | + | 2.50000i | 0.166790 | + | 0.0962964i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 3.50000 | + | 6.06218i | 0.134615 | + | 0.233161i | ||||
\(677\) | 6.27231 | + | 10.8640i | 0.241064 | + | 0.417536i | 0.961018 | − | 0.276487i | \(-0.0891701\pi\) |
−0.719953 | + | 0.694023i | \(0.755837\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.34924 | + | 9.85951i | −0.0517792 | + | 0.378373i | ||||
\(680\) | 3.67423 | − | 2.12132i | 0.140900 | − | 0.0813489i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | − | 16.8493i | − | 0.645191i | ||||||
\(683\) | −22.4912 | + | 12.9853i | −0.860601 | + | 0.496868i | −0.864213 | − | 0.503125i | \(-0.832183\pi\) |
0.00361277 | + | 0.999993i | \(0.498850\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | − | 60.5708i | − | 2.31429i | ||||||
\(686\) | 18.3967 | − | 2.13604i | 0.702388 | − | 0.0815543i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 8.24264 | 0.314248 | ||||||||
\(689\) | −1.52192 | + | 2.63604i | −0.0579805 | + | 0.100425i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.727922 | − | 0.420266i | 0.0276915 | − | 0.0159877i | −0.486090 | − | 0.873909i | \(-0.661577\pi\) |
0.513782 | + | 0.857921i | \(0.328244\pi\) | |||||||
\(692\) | 20.7846 | 0.790112 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −14.4853 | −0.549854 | ||||||||
\(695\) | −73.1154 | + | 42.2132i | −2.77343 | + | 1.60124i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −1.02944 | + | 1.78304i | −0.0389927 | + | 0.0675374i | ||||
\(698\) | −36.9164 | −1.39731 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −32.7279 | − | 4.47871i | −1.23700 | − | 0.169279i | ||||
\(701\) | − | 38.6985i | − | 1.46162i | −0.682580 | − | 0.730811i | \(-0.739142\pi\) | ||
0.682580 | − | 0.730811i | \(-0.260858\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 7.24264 | − | 4.18154i | 0.273161 | − | 0.157710i | ||||
\(704\) | − | 3.00000i | − | 0.113067i | ||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −16.2426 | + | 9.37769i | −0.611300 | + | 0.352934i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.48528 | + | 6.03668i | 0.130892 | + | 0.226712i | 0.924021 | − | 0.382342i | \(-0.124882\pi\) |
−0.793128 | + | 0.609055i | \(0.791549\pi\) | |||||||
\(710\) | −21.4150 | − | 37.0919i | −0.803691 | − | 1.39203i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 9.00000 | + | 5.19615i | 0.337289 | + | 0.194734i | ||||
\(713\) | −11.9142 | + | 20.6360i | −0.446191 | + | 0.772826i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 15.3640 | + | 26.6112i | 0.574580 | + | 0.995201i | ||||
\(716\) | 9.51472i | 0.355582i | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 18.0000 | 0.671754 | ||||||||
\(719\) | −11.5300 | + | 19.9706i | −0.429997 | + | 0.744776i | −0.996872 | − | 0.0790270i | \(-0.974819\pi\) |
0.566876 | + | 0.823803i | \(0.308152\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 37.4558 | − | 15.2913i | 1.39493 | − | 0.569477i | ||||
\(722\) | −15.5630 | − | 8.98528i | −0.579194 | − | 0.334398i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 1.75736 | + | 1.01461i | 0.0653117 | + | 0.0377078i | ||||
\(725\) | 13.4361 | + | 7.75736i | 0.499006 | + | 0.288101i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 22.8640 | + | 13.2005i | 0.847977 | + | 0.489580i | 0.859968 | − | 0.510348i | \(-0.170483\pi\) |
−0.0119905 | + | 0.999928i | \(0.503817\pi\) | |||||||
\(728\) | −3.97141 | + | 5.12132i | −0.147190 | + | 0.189809i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 17.4853 | − | 30.2854i | 0.647159 | − | 1.12091i | ||||
\(731\) | −8.36308 | −0.309320 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 39.3659i | 1.45401i | 0.686630 | + | 0.727007i | \(0.259089\pi\) | ||||
−0.686630 | + | 0.727007i | \(0.740911\pi\) | |||||||
\(734\) | 9.43924 | + | 16.3492i | 0.348409 | + | 0.603462i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −2.12132 | + | 3.67423i | −0.0781929 | + | 0.135434i | ||||
\(737\) | 25.9808 | + | 15.0000i | 0.957014 | + | 0.552532i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.7279 | + | 30.7057i | 0.652132 | + | 1.12953i | 0.982605 | + | 0.185710i | \(0.0594586\pi\) |
−0.330472 | + | 0.943816i | \(0.607208\pi\) | |||||||
\(740\) | 17.2335 | + | 29.8492i | 0.633515 | + | 1.09728i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 3.25736 | + | 0.445759i | 0.119581 | + | 0.0163643i | ||||
\(743\) | 18.6323 | − | 10.7574i | 0.683553 | − | 0.394649i | −0.117640 | − | 0.993056i | \(-0.537533\pi\) |
0.801192 | + | 0.598407i | \(0.204199\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | − | 85.6600i | − | 3.13834i | ||||||
\(746\) | 18.5813 | − | 10.7279i | 0.680310 | − | 0.392777i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 3.04384i | 0.111294i | ||||||||
\(749\) | −1.96768 | + | 14.3787i | −0.0718974 | + | 0.525386i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 26.7574 | 0.976390 | 0.488195 | − | 0.872735i | \(-0.337655\pi\) | ||||
0.488195 | + | 0.872735i | \(0.337655\pi\) | |||||||
\(752\) | 0.507306 | − | 0.878680i | 0.0184995 | − | 0.0320422i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.63604 | − | 1.52192i | 0.0959989 | − | 0.0554250i | ||||
\(755\) | −13.5592 | −0.493471 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −42.2426 | −1.53533 | −0.767667 | − | 0.640848i | \(-0.778583\pi\) | ||||
−0.767667 | + | 0.640848i | \(0.778583\pi\) | |||||||
\(758\) | −3.88437 | + | 2.24264i | −0.141087 | + | 0.0814564i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −2.12132 | + | 3.67423i | −0.0769484 | + | 0.133278i | ||||
\(761\) | −5.07306 | −0.183898 | −0.0919491 | − | 0.995764i | \(-0.529310\pi\) | ||||
−0.0919491 | + | 0.995764i | \(0.529310\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.45584 | + | 3.16693i | −0.0889075 | + | 0.114651i | ||||
\(764\) | 8.48528i | 0.306987i | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −10.7574 | + | 6.21076i | −0.388679 | + | 0.224404i | ||||
\(767\) | − | 28.2426i | − | 1.01978i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 42.4706 | − | 24.5204i | 1.53153 | − | 0.884228i | 0.532236 | − | 0.846596i | \(-0.321352\pi\) |
0.999292 | − | 0.0376319i | \(-0.0119814\pi\) | |||||||
\(770\) | 20.3389 | − | 26.2279i | 0.732961 | − | 0.945189i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −3.74264 | − | 6.48244i | −0.134701 | − | 0.233308i | ||||
\(773\) | 11.5300 | + | 19.9706i | 0.414706 | + | 0.718291i | 0.995398 | − | 0.0958322i | \(-0.0305512\pi\) |
−0.580692 | + | 0.814123i | \(0.697218\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −60.7279 | − | 35.0613i | −2.18141 | − | 1.25944i | ||||
\(776\) | −1.88064 | + | 3.25736i | −0.0675109 | + | 0.116932i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −9.72792 | − | 16.8493i | −0.348763 | − | 0.604075i | ||||
\(779\) | − | 2.05887i | − | 0.0737668i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 30.7279 | 1.09953 | ||||||||
\(782\) | 2.15232 | − | 3.72792i | 0.0769667 | − | 0.133310i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 6.74264 | + | 1.88064i | 0.240809 | + | 0.0671656i | ||||
\(785\) | 53.2223 | + | 30.7279i | 1.89959 | + | 1.09673i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −32.1213 | − | 18.5453i | −1.14500 | − | 0.661067i | −0.197337 | − | 0.980336i | \(-0.563229\pi\) |
−0.947664 | + | 0.319269i | \(0.896563\pi\) | |||||||
\(788\) | −8.23999 | − | 4.75736i | −0.293537 | − | 0.169474i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 40.7132 | + | 23.5058i | 1.44851 | + | 0.836298i | ||||
\(791\) | 17.7408 | + | 13.7574i | 0.630789 | + | 0.489155i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.24264 | + | 12.5446i | −0.257194 | + | 0.445473i | ||||
\(794\) | 13.8564 | 0.491745 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 16.1318i | 0.571777i | ||||||||
\(797\) | −18.8169 | − | 32.5919i | −0.666530 | − | 1.15446i | −0.978868 | − | 0.204493i | \(-0.934446\pi\) |
0.312338 | − | 0.949971i | \(-0.398888\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −0.514719 | + | 0.891519i | −0.0182094 | + | 0.0315397i | ||||
\(800\) | −10.8126 | − | 6.24264i | −0.382282 | − | 0.220711i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 12.5446 | + | 21.7279i | 0.442690 | + | 0.766762i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −43.4558 | + | 17.7408i | −1.53162 | + | 0.625280i | ||||
\(806\) | −11.9142 | + | 6.87868i | −0.419661 | + | 0.242291i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 35.4815 | − | 20.4853i | 1.24746 | − | 0.720224i | 0.276862 | − | 0.960910i | \(-0.410706\pi\) |
0.970603 | + | 0.240686i | \(0.0773723\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 31.1769i | 1.09477i | 0.836881 | + | 0.547385i | \(0.184377\pi\) | ||||
−0.836881 | + | 0.547385i | \(0.815623\pi\) | |||||||
\(812\) | −2.59808 | − | 2.01472i | −0.0911746 | − | 0.0707028i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −24.7279 | −0.866713 | ||||||||
\(815\) | −13.0519 | + | 22.6066i | −0.457189 | + | 0.791875i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 7.24264 | − | 4.18154i | 0.253388 | − | 0.146294i | ||||
\(818\) | 4.60181 | 0.160898 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 8.48528 | 0.296319 | ||||||||
\(821\) | 42.6454 | − | 24.6213i | 1.48833 | − | 0.859290i | 0.488423 | − | 0.872607i | \(-0.337572\pi\) |
0.999911 | + | 0.0133172i | \(0.00423912\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 18.9706 | − | 32.8580i | 0.661272 | − | 1.14536i | −0.319009 | − | 0.947752i | \(-0.603350\pi\) |
0.980282 | − | 0.197606i | \(-0.0633165\pi\) | |||||||
\(824\) | 15.2913 | 0.532697 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −28.2426 | + | 11.5300i | −0.982687 | + | 0.401180i | ||||
\(827\) | 4.02944i | 0.140117i | 0.997543 | + | 0.0700586i | \(0.0223186\pi\) | ||||
−0.997543 | + | 0.0700586i | \(0.977681\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −35.3345 | + | 20.4004i | −1.22722 | + | 0.708535i | −0.966447 | − | 0.256865i | \(-0.917310\pi\) |
−0.260772 | + | 0.965401i | \(0.583977\pi\) | |||||||
\(830\) | 13.2426i | 0.459659i | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.12132 | + | 1.22474i | −0.0735436 | + | 0.0424604i | ||||
\(833\) | −6.84116 | − | 1.90812i | −0.237032 | − | 0.0661123i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 48.2132 | + | 83.5077i | 1.66849 | + | 2.88990i | ||||
\(836\) | −1.52192 | − | 2.63604i | −0.0526366 | − | 0.0911693i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 3.51472 | + | 2.02922i | 0.121414 | + | 0.0700984i | ||||
\(839\) | −12.0373 | + | 20.8492i | −0.415574 | + | 0.719796i | −0.995489 | − | 0.0948817i | \(-0.969753\pi\) |
0.579914 | + | 0.814678i | \(0.303086\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.7279 | − | 23.7775i | −0.473377 | − | 0.819912i | ||||
\(842\) | − | 5.75736i | − | 0.198412i | ||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −8.24264 | −0.283723 | ||||||||
\(845\) | −14.6354 | + | 25.3492i | −0.503473 | + | 0.872040i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −2.00000 | − | 4.89898i | −0.0687208 | − | 0.168331i | ||||
\(848\) | 1.07616 | + | 0.621320i | 0.0369554 | + | 0.0213362i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 10.9706 | + | 6.33386i | 0.376287 | + | 0.217250i | ||||
\(851\) | 30.2854 | + | 17.4853i | 1.03817 | + | 0.599388i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1.97056 | + | 1.13770i | 0.0674708 | + | 0.0389543i | 0.533356 | − | 0.845891i | \(-0.320931\pi\) |
−0.465885 | + | 0.884845i | \(0.654264\pi\) | |||||||
\(854\) | 15.5014 | + | 2.12132i | 0.530448 | + | 0.0725901i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.74264 | + | 4.75039i | −0.0937415 | + | 0.162365i | ||||
\(857\) | −20.0162 | −0.683740 | −0.341870 | − | 0.939747i | \(-0.611060\pi\) | ||||
−0.341870 | + | 0.939747i | \(0.611060\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | − | 4.47871i | − | 0.152812i | −0.997077 | − | 0.0764059i | \(-0.975656\pi\) | ||
0.997077 | − | 0.0764059i | \(-0.0243445\pi\) | |||||||
\(860\) | 17.2335 | + | 29.8492i | 0.587656 | + | 1.01785i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 10.2426 | − | 17.7408i | 0.348866 | − | 0.604253i | ||||
\(863\) | −43.7215 | − | 25.2426i | −1.48830 | − | 0.859269i | −0.488388 | − | 0.872627i | \(-0.662415\pi\) |
−0.999911 | + | 0.0133573i | \(0.995748\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 43.4558 | + | 75.2677i | 1.47754 | + | 2.55918i | ||||
\(866\) | −1.73205 | − | 3.00000i | −0.0588575 | − | 0.101944i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 11.7426 | + | 9.10601i | 0.398571 | + | 0.309078i | ||||
\(869\) | −29.2092 | + | 16.8640i | −0.990856 | + | 0.572071i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | − | 24.4949i | − | 0.829978i | ||||||
\(872\) | −1.31178 | + | 0.757359i | −0.0444226 | + | 0.0256474i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 4.30463i | 0.145606i | ||||||||
\(875\) | −31.3000 | − | 76.6690i | −1.05813 | − | 2.59189i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −12.4853 | −0.421598 | −0.210799 | − | 0.977529i | \(-0.567607\pi\) | ||||
−0.210799 | + | 0.977529i | \(0.567607\pi\) | |||||||
\(878\) | −13.6208 | + | 23.5919i | −0.459679 | + | 0.796187i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 10.8640 | − | 6.27231i | 0.366224 | − | 0.211440i | ||||
\(881\) | 39.7862 | 1.34043 | 0.670215 | − | 0.742167i | \(-0.266202\pi\) | ||||
0.670215 | + | 0.742167i | \(0.266202\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −9.45584 | −0.318214 | −0.159107 | − | 0.987261i | \(-0.550862\pi\) | ||||
−0.159107 | + | 0.987261i | \(0.550862\pi\) | |||||||
\(884\) | 2.15232 | − | 1.24264i | 0.0723902 | − | 0.0417945i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 17.2279 | − | 29.8396i | 0.578783 | − | 1.00248i | ||||
\(887\) | 44.8592 | 1.50623 | 0.753113 | − | 0.657891i | \(-0.228551\pi\) | ||||
0.753113 | + | 0.657891i | \(0.228551\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 5.24264 | + | 12.8418i | 0.175833 | + | 0.430700i | ||||
\(890\) | 43.4558i | 1.45664i | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 10.8640 | − | 6.27231i | 0.363752 | − | 0.210012i | ||||
\(893\) | − | 1.02944i | − | 0.0344488i | ||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −34.4558 | + | 19.8931i | −1.15173 | + | 0.664953i | ||||
\(896\) | 2.09077 | + | 1.62132i | 0.0698477 | + | 0.0541645i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −5.12132 | − | 8.87039i | −0.170901 | − | 0.296009i | ||||
\(899\) | −3.48960 | − | 6.04416i | −0.116385 | − | 0.201584i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −1.09188 | − | 0.630399i | −0.0363759 | − | 0.0210016i | ||||
\(902\) | −3.04384 | + | 5.27208i | −0.101349 | + | 0.175541i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.24264 | + | 7.34847i | 0.141108 | + | 0.244406i | ||||
\(905\) | 8.48528i | 0.282060i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 27.6985 | 0.919713 | 0.459857 | − | 0.887993i | \(-0.347901\pi\) | ||||
0.459857 | + | 0.887993i | \(0.347901\pi\) | |||||||
\(908\) | 7.79423 | − | 13.5000i | 0.258661 | − | 0.448013i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −26.8492 | − | 3.67423i | −0.890044 | − | 0.121800i | ||||
\(911\) | −16.2189 | − | 9.36396i | −0.537355 | − | 0.310242i | 0.206651 | − | 0.978415i | \(-0.433743\pi\) |
−0.744006 | + | 0.668173i | \(0.767077\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.22792 | − | 4.75039i | −0.272304 | − | 0.157215i | ||||
\(914\) | 19.9186 | + | 11.5000i | 0.658848 | + | 0.380386i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 12.0000 | + | 6.92820i | 0.396491 | + | 0.228914i | ||||
\(917\) | 5.19615 | + | 12.7279i | 0.171592 | + | 0.420313i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −9.75736 | + | 16.9002i | −0.321866 | + | 0.557488i | −0.980873 | − | 0.194649i | \(-0.937643\pi\) |
0.659007 | + | 0.752136i | \(0.270977\pi\) | |||||||
\(920\) | −17.7408 | −0.584896 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | − | 22.8138i | − | 0.751334i | ||||||
\(923\) | −12.5446 | − | 21.7279i | −0.412911 | − | 0.715183i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −51.4558 | + | 89.1241i | −1.69186 | + | 2.93038i | ||||
\(926\) | −18.5813 | − | 10.7279i | −0.610620 | − | 0.352541i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.621320 | − | 1.07616i | −0.0203958 | − | 0.0353266i | ||||
\(929\) | −1.64501 | − | 2.84924i | −0.0539711 | − | 0.0934806i | 0.837778 | − | 0.546012i | \(-0.183855\pi\) |
−0.891749 | + | 0.452531i | \(0.850521\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 6.87868 | − | 1.76810i | 0.225440 | − | 0.0579473i | ||||
\(932\) | 5.82655 | − | 3.36396i | 0.190855 | − | 0.110190i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | − | 19.0016i | − | 0.621750i | ||||||
\(935\) | −11.0227 | + | 6.36396i | −0.360481 | + | 0.208124i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 4.00746i | 0.130918i | 0.997855 | + | 0.0654590i | \(0.0208512\pi\) | ||||
−0.997855 | + | 0.0654590i | \(0.979149\pi\) | |||||||
\(938\) | −24.4949 | + | 10.0000i | −0.799787 | + | 0.326512i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 4.24264 | 0.138380 | ||||||||
\(941\) | −26.0423 | + | 45.1066i | −0.848955 | + | 1.47043i | 0.0331867 | + | 0.999449i | \(0.489434\pi\) |
−0.882142 | + | 0.470984i | \(0.843899\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 7.45584 | − | 4.30463i | 0.242796 | − | 0.140178i | ||||
\(944\) | −11.5300 | −0.375270 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −24.7279 | −0.803974 | ||||||||
\(947\) | 19.8931 | − | 11.4853i | 0.646439 | − | 0.373221i | −0.140652 | − | 0.990059i | \(-0.544920\pi\) |
0.787090 | + | 0.616838i | \(0.211586\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 10.2426 | − | 17.7408i | 0.332490 | − | 0.575890i | ||||
\(950\) | −12.6677 | −0.410995 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.12132 | − | 1.64501i | −0.0687524 | − | 0.0533151i | ||||
\(953\) | 41.6985i | 1.35075i | 0.737476 | + | 0.675373i | \(0.236017\pi\) | ||||
−0.737476 | + | 0.675373i | \(0.763983\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −30.7279 | + | 17.7408i | −0.994332 | + | 0.574078i | ||||
\(956\) | 12.7279i | 0.411650i | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 31.6066 | − | 18.2481i | 1.02116 | − | 0.589569i | ||||
\(959\) | −35.4815 | + | 14.4853i | −1.14576 | + | 0.467754i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 0.272078 | + | 0.471253i | 0.00877671 | + | 0.0152017i | ||||
\(962\) | 10.0951 | + | 17.4853i | 0.325480 | + | 0.563748i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 14.7426 | + | 8.51167i | 0.474828 | + | 0.274142i | ||||
\(965\) | 15.6500 | − | 27.1066i | 0.503791 | − | 0.872592i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −11.1360 | − | 19.2882i | −0.358111 | − | 0.620266i | 0.629534 | − | 0.776973i | \(-0.283246\pi\) |
−0.987645 | + | 0.156706i | \(0.949912\pi\) | |||||||
\(968\) | − | 2.00000i | − | 0.0642824i | ||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −15.7279 | −0.504993 | ||||||||
\(971\) | 25.6581 | − | 44.4411i | 0.823407 | − | 1.42618i | −0.0797229 | − | 0.996817i | \(-0.525404\pi\) |
0.903130 | − | 0.429367i | \(-0.141263\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 42.2132 | + | 32.7349i | 1.35329 | + | 1.04943i | ||||
\(974\) | −24.4334 | − | 14.1066i | −0.782895 | − | 0.452005i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.12132 | + | 2.95680i | 0.163929 | + | 0.0946447i | ||||
\(977\) | −27.5027 | − | 15.8787i | −0.879889 | − | 0.508004i | −0.00926698 | − | 0.999957i | \(-0.502950\pi\) |
−0.870622 | + | 0.491953i | \(0.836283\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −27.0000 | − | 15.5885i | −0.862924 | − | 0.498209i | ||||
\(980\) | 7.28692 | + | 28.3492i | 0.232772 | + | 0.905583i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.98528 | − | 17.2950i | 0.318643 | − | 0.551906i | ||||
\(983\) | −8.11689 | −0.258889 | −0.129444 | − | 0.991587i | \(-0.541319\pi\) | ||||
−0.129444 | + | 0.991587i | \(0.541319\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | − | 39.7862i | − | 1.26769i | ||||||
\(986\) | 0.630399 | + | 1.09188i | 0.0200760 | + | 0.0347726i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.24264 | + | 2.15232i | −0.0395337 | + | 0.0684743i | ||||
\(989\) | 30.2854 | + | 17.4853i | 0.963020 | + | 0.556000i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.89340 | − | 8.47561i | −0.155444 | − | 0.269237i | 0.777777 | − | 0.628541i | \(-0.216347\pi\) |
−0.933221 | + | 0.359304i | \(0.883014\pi\) | |||||||
\(992\) | 2.80821 | + | 4.86396i | 0.0891607 | + | 0.154431i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −16.6066 | + | 21.4150i | −0.526729 | + | 0.679243i | ||||
\(995\) | −58.4185 | + | 33.7279i | −1.85199 | + | 1.06925i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − | 9.55177i | − | 0.302508i | −0.988495 | − | 0.151254i | \(-0.951669\pi\) | ||
0.988495 | − | 0.151254i | \(-0.0483311\pi\) | |||||||
\(998\) | −31.1259 | + | 17.9706i | −0.985274 | + | 0.568848i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))