Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,3,Mod(41,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.41");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.m (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.96185790339\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{6})\) |
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: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 41.1 | ||
Root | \(1.22474 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.41 |
Dual form | 72.3.m.a.65.1 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{5}{6}\right)\) |
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 | 0 | ||||||||
\(3\) | −3.00000 | −1.00000 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −3.39898 | − | 1.96240i | −0.679796 | − | 0.392480i | 0.119982 | − | 0.992776i | \(-0.461716\pi\) |
−0.799778 | + | 0.600296i | \(0.795050\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −6.39898 | − | 11.0834i | −0.914140 | − | 1.58334i | −0.808156 | − | 0.588969i | \(-0.799534\pi\) |
−0.105984 | − | 0.994368i | \(-0.533799\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 9.00000 | 1.00000 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −14.2980 | + | 8.25493i | −1.29981 | + | 0.750448i | −0.980372 | − | 0.197157i | \(-0.936829\pi\) |
−0.319443 | + | 0.947606i | \(0.603496\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 1.39898 | − | 2.42310i | 0.107614 | − | 0.186393i | −0.807189 | − | 0.590293i | \(-0.799012\pi\) |
0.914803 | + | 0.403900i | \(0.132346\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 10.1969 | + | 5.88721i | 0.679796 | + | 0.392480i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − | 2.54270i | − | 0.149570i | −0.997200 | − | 0.0747852i | \(-0.976173\pi\) | ||
0.997200 | − | 0.0747852i | \(-0.0238271\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 21.5959 | 1.13663 | 0.568314 | − | 0.822812i | \(-0.307596\pi\) | ||||
0.568314 | + | 0.822812i | \(0.307596\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 19.1969 | + | 33.2501i | 0.914140 | + | 1.58334i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.60102 | + | 1.50170i | 0.113088 | + | 0.0652913i | 0.555477 | − | 0.831532i | \(-0.312536\pi\) |
−0.442389 | + | 0.896823i | \(0.645869\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.79796 | − | 8.31031i | −0.191918 | − | 0.332412i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −27.0000 | −1.00000 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −13.1969 | + | 7.61926i | −0.455067 | + | 0.262733i | −0.709968 | − | 0.704234i | \(-0.751290\pi\) |
0.254901 | + | 0.966967i | \(0.417957\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 13.6010 | − | 23.5577i | 0.438743 | − | 0.759924i | −0.558850 | − | 0.829269i | \(-0.688757\pi\) |
0.997593 | + | 0.0693442i | \(0.0220907\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 42.8939 | − | 24.7648i | 1.29981 | − | 0.750448i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 50.2295i | 1.43513i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −10.4041 | −0.281191 | −0.140596 | − | 0.990067i | \(-0.544902\pi\) | ||||
−0.140596 | + | 0.990067i | \(0.544902\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.19694 | + | 7.26931i | −0.107614 | + | 0.186393i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −34.5000 | − | 19.9186i | −0.841463 | − | 0.485819i | 0.0162980 | − | 0.999867i | \(-0.494812\pi\) |
−0.857761 | + | 0.514048i | \(0.828145\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −17.0959 | − | 29.6110i | −0.397579 | − | 0.688628i | 0.595847 | − | 0.803098i | \(-0.296816\pi\) |
−0.993427 | + | 0.114470i | \(0.963483\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −30.5908 | − | 17.6616i | −0.679796 | − | 0.392480i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 58.1969 | − | 33.6000i | 1.23823 | − | 0.714894i | 0.269500 | − | 0.963000i | \(-0.413142\pi\) |
0.968733 | + | 0.248106i | \(0.0798083\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −57.3939 | + | 99.4091i | −1.17130 | + | 2.02876i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 7.62809i | 0.149570i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − | 100.680i | − | 1.89963i | −0.312810 | − | 0.949816i | \(-0.601270\pi\) | ||
0.312810 | − | 0.949816i | \(-0.398730\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 64.7980 | 1.17814 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −64.7878 | −1.13663 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 5.29796 | + | 3.05878i | 0.0897959 | + | 0.0518437i | 0.544226 | − | 0.838939i | \(-0.316824\pi\) |
−0.454430 | + | 0.890783i | \(0.650157\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −20.3990 | − | 35.3321i | −0.334409 | − | 0.579214i | 0.648962 | − | 0.760821i | \(-0.275204\pi\) |
−0.983371 | + | 0.181607i | \(0.941870\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −57.5908 | − | 99.7502i | −0.914140 | − | 1.58334i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −9.51021 | + | 5.49072i | −0.146311 | + | 0.0844726i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −54.4898 | + | 94.3791i | −0.813281 | + | 1.40864i | 0.0972755 | + | 0.995257i | \(0.468987\pi\) |
−0.910556 | + | 0.413386i | \(0.864346\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −7.80306 | − | 4.50510i | −0.113088 | − | 0.0652913i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 52.8829i | 0.744830i | 0.928066 | + | 0.372415i | \(0.121470\pi\) | ||||
−0.928066 | + | 0.372415i | \(0.878530\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 68.7878 | 0.942298 | 0.471149 | − | 0.882054i | \(-0.343839\pi\) | ||||
0.471149 | + | 0.882054i | \(0.343839\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 14.3939 | + | 24.9309i | 0.191918 | + | 0.332412i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 182.985 | + | 105.646i | 2.37642 | + | 1.37203i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 12.7929 | + | 22.1579i | 0.161935 | + | 0.280479i | 0.935563 | − | 0.353161i | \(-0.114893\pi\) |
−0.773628 | + | 0.633640i | \(0.781560\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 81.0000 | 1.00000 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 52.0857 | − | 30.0717i | 0.627539 | − | 0.362310i | −0.152260 | − | 0.988341i | \(-0.548655\pi\) |
0.779798 | + | 0.626031i | \(0.215322\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.98979 | + | 8.64258i | −0.0587035 | + | 0.101677i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 39.5908 | − | 22.8578i | 0.455067 | − | 0.262733i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − | 7.62809i | − | 0.0857089i | −0.999081 | − | 0.0428545i | \(-0.986355\pi\) | ||
0.999081 | − | 0.0428545i | \(-0.0136452\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −35.8082 | −0.393496 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −40.8031 | + | 70.6730i | −0.438743 | + | 0.759924i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −73.4041 | − | 42.3799i | −0.772675 | − | 0.446104i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 50.7020 | + | 87.8185i | 0.522701 | + | 0.905345i | 0.999651 | + | 0.0264148i | \(0.00840908\pi\) |
−0.476950 | + | 0.878931i | \(0.658258\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −128.682 | + | 74.2944i | −1.29981 | + | 0.750448i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −1.19694 | + | 0.691053i | −0.0118509 | + | 0.00684211i | −0.505914 | − | 0.862584i | \(-0.668845\pi\) |
0.494063 | + | 0.869426i | \(0.335511\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.792856 | − | 1.37327i | 0.00769763 | − | 0.0133327i | −0.862151 | − | 0.506652i | \(-0.830883\pi\) |
0.869849 | + | 0.493319i | \(0.164216\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | − | 150.688i | − | 1.43513i | ||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 103.223i | − | 0.964702i | −0.875978 | − | 0.482351i | \(-0.839783\pi\) | ||
0.875978 | − | 0.482351i | \(-0.160217\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.4041 | 0.132148 | 0.0660738 | − | 0.997815i | \(-0.478953\pi\) | ||||
0.0660738 | + | 0.997815i | \(0.478953\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 31.2122 | 0.281191 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −92.0755 | − | 53.1598i | −0.814828 | − | 0.470441i | 0.0338020 | − | 0.999429i | \(-0.489238\pi\) |
−0.848630 | + | 0.528988i | \(0.822572\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.89388 | − | 10.2085i | −0.0512511 | − | 0.0887695i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 12.5908 | − | 21.8079i | 0.107614 | − | 0.186393i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −28.1816 | + | 16.2707i | −0.236820 | + | 0.136728i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 75.7878 | − | 131.268i | 0.626345 | − | 1.08486i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 103.500 | + | 59.7558i | 0.841463 | + | 0.485819i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 135.782i | 1.08626i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −183.980 | −1.44866 | −0.724329 | − | 0.689454i | \(-0.757850\pi\) | ||||
−0.724329 | + | 0.689454i | \(0.757850\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 51.2878 | + | 88.8330i | 0.397579 | + | 0.688628i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −91.6918 | − | 52.9383i | −0.699938 | − | 0.404109i | 0.107387 | − | 0.994217i | \(-0.465752\pi\) |
−0.807324 | + | 0.590108i | \(0.799085\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −138.192 | − | 239.355i | −1.03904 | − | 1.79966i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 91.7724 | + | 52.9848i | 0.679796 | + | 0.392480i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −165.288 | + | 95.4289i | −1.20648 | + | 0.696562i | −0.961989 | − | 0.273090i | \(-0.911954\pi\) |
−0.244491 | + | 0.969651i | \(0.578621\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 47.4898 | − | 82.2547i | 0.341653 | − | 0.591761i | −0.643087 | − | 0.765793i | \(-0.722347\pi\) |
0.984740 | + | 0.174033i | \(0.0556798\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −174.591 | + | 100.800i | −1.23823 | + | 0.714894i | ||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 46.1939i | 0.323034i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 59.8082 | 0.412470 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 172.182 | − | 298.227i | 1.17130 | − | 2.02876i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 79.6112 | + | 45.9636i | 0.534304 | + | 0.308480i | 0.742767 | − | 0.669550i | \(-0.233513\pi\) |
−0.208464 | + | 0.978030i | \(0.566846\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 8.20714 | + | 14.2152i | 0.0543519 | + | 0.0941403i | 0.891921 | − | 0.452191i | \(-0.149357\pi\) |
−0.837569 | + | 0.546331i | \(0.816024\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | − | 22.8843i | − | 0.149570i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −92.4592 | + | 53.3813i | −0.596511 | + | 0.344396i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 105.985 | − | 183.571i | 0.675062 | − | 1.16924i | −0.301389 | − | 0.953501i | \(-0.597450\pi\) |
0.976451 | − | 0.215740i | \(-0.0692164\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 302.041i | 1.89963i | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | − | 38.4374i | − | 0.238742i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 172.788 | 1.06005 | 0.530024 | − | 0.847983i | \(-0.322183\pi\) | ||||
0.530024 | + | 0.847983i | \(0.322183\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −194.394 | −1.17814 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −163.197 | − | 94.2218i | −0.977227 | − | 0.564202i | −0.0757953 | − | 0.997123i | \(-0.524150\pi\) |
−0.901432 | + | 0.432921i | \(0.857483\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 80.5857 | + | 139.579i | 0.476839 | + | 0.825909i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 194.363 | 1.13663 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 52.1969 | − | 30.1359i | 0.301716 | − | 0.174196i | −0.341497 | − | 0.939883i | \(-0.610934\pi\) |
0.643214 | + | 0.765687i | \(0.277601\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −61.4041 | + | 106.355i | −0.350880 | + | 0.607743i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −15.8939 | − | 9.17633i | −0.0897959 | − | 0.0518437i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 72.7108i | 0.406205i | 0.979157 | + | 0.203103i | \(0.0651025\pi\) | ||||
−0.979157 | + | 0.203103i | \(0.934897\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −97.5959 | −0.539204 | −0.269602 | − | 0.962972i | \(-0.586892\pi\) | ||||
−0.269602 | + | 0.962972i | \(0.586892\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 61.1969 | + | 105.996i | 0.334409 | + | 0.579214i | ||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 35.3633 | + | 20.4170i | 0.191153 | + | 0.110362i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 20.9898 | + | 36.3554i | 0.112245 | + | 0.194414i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 172.772 | + | 299.251i | 0.914140 | + | 1.58334i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 282.560 | − | 163.136i | 1.47937 | − | 0.854116i | 0.479645 | − | 0.877462i | \(-0.340765\pi\) |
0.999727 | + | 0.0233462i | \(0.00743200\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −10.5102 | + | 18.2042i | −0.0544570 | + | 0.0943223i | −0.891969 | − | 0.452097i | \(-0.850676\pi\) |
0.837512 | + | 0.546419i | \(0.184009\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 28.5306 | − | 16.4722i | 0.146311 | − | 0.0844726i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 32.5413i | 0.165184i | 0.996583 | + | 0.0825922i | \(0.0263199\pi\) | ||||
−0.996583 | + | 0.0825922i | \(0.973680\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −62.0000 | −0.311558 | −0.155779 | − | 0.987792i | \(-0.549789\pi\) | ||||
−0.155779 | + | 0.987792i | \(0.549789\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 163.469 | − | 283.137i | 0.813281 | − | 1.40864i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 168.894 | + | 97.5109i | 0.831990 | + | 0.480349i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 78.1765 | + | 135.406i | 0.381349 | + | 0.660516i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 23.4092 | + | 13.5153i | 0.113088 | + | 0.0652913i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −308.778 | + | 178.273i | −1.47740 | + | 0.852980i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 84.2980 | − | 146.008i | 0.399516 | − | 0.691983i | −0.594150 | − | 0.804354i | \(-0.702511\pi\) |
0.993666 | + | 0.112372i | \(0.0358447\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | − | 158.649i | − | 0.744830i | ||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 134.196i | 0.624169i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −348.131 | −1.60429 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −206.363 | −0.942298 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −6.16122 | − | 3.55718i | −0.0278788 | − | 0.0160958i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 78.1867 | + | 135.423i | 0.350613 | + | 0.607280i | 0.986357 | − | 0.164620i | \(-0.0526399\pi\) |
−0.635744 | + | 0.771900i | \(0.719307\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −43.1816 | − | 74.7928i | −0.191918 | − | 0.332412i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 86.6510 | − | 50.0280i | 0.381723 | − | 0.220388i | −0.296845 | − | 0.954926i | \(-0.595934\pi\) |
0.678567 | + | 0.734538i | \(0.262601\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 104.995 | − | 181.856i | 0.458493 | − | 0.794133i | −0.540389 | − | 0.841416i | \(-0.681723\pi\) |
0.998882 | + | 0.0472824i | \(0.0150561\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −548.954 | − | 316.939i | −2.37642 | − | 1.37203i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − | 307.127i | − | 1.31814i | −0.752081 | − | 0.659070i | \(-0.770950\pi\) | ||
0.752081 | − | 0.659070i | \(-0.229050\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −263.747 | −1.12233 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −38.3786 | − | 66.4736i | −0.161935 | − | 0.280479i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −70.3888 | − | 40.6390i | −0.294514 | − | 0.170038i | 0.345462 | − | 0.938433i | \(-0.387722\pi\) |
−0.639976 | + | 0.768395i | \(0.721056\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 180.096 | + | 311.935i | 0.747286 | + | 1.29434i | 0.949119 | + | 0.314917i | \(0.101977\pi\) |
−0.201833 | + | 0.979420i | \(0.564690\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −243.000 | −1.00000 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 390.161 | − | 225.260i | 1.59249 | − | 0.919427i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 30.2122 | − | 52.3291i | 0.122317 | − | 0.211859i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −156.257 | + | 90.2151i | −0.627539 | + | 0.362310i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − | 400.179i | − | 1.59434i | −0.603755 | − | 0.797170i | \(-0.706330\pi\) | ||
0.603755 | − | 0.797170i | \(-0.293670\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −49.5857 | −0.195991 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 14.9694 | − | 25.9277i | 0.0587035 | − | 0.101677i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 315.035 | + | 181.885i | 1.22582 | + | 0.707725i | 0.966152 | − | 0.257974i | \(-0.0830549\pi\) |
0.259664 | + | 0.965699i | \(0.416388\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 66.5755 | + | 115.312i | 0.257048 | + | 0.445221i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −118.772 | + | 68.5733i | −0.455067 | + | 0.262733i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −326.570 | + | 188.546i | −1.24171 | + | 0.716903i | −0.969443 | − | 0.245318i | \(-0.921108\pi\) |
−0.272270 | + | 0.962221i | \(0.587774\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −197.576 | + | 342.211i | −0.745568 | + | 1.29136i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 22.8843i | 0.0857089i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − | 170.849i | − | 0.635125i | −0.948237 | − | 0.317562i | \(-0.897136\pi\) | ||
0.948237 | − | 0.317562i | \(-0.102864\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −50.4041 | −0.185993 | −0.0929965 | − | 0.995666i | \(-0.529645\pi\) | ||||
−0.0929965 | + | 0.995666i | \(0.529645\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 107.424 | 0.393496 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 137.202 | + | 79.2136i | 0.498917 | + | 0.288050i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.8031 | − | 22.1756i | −0.0462204 | − | 0.0800561i | 0.841990 | − | 0.539494i | \(-0.181384\pi\) |
−0.888210 | + | 0.459438i | \(0.848051\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 122.409 | − | 212.019i | 0.438743 | − | 0.759924i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 290.267 | − | 167.586i | 1.03298 | − | 0.596391i | 0.115143 | − | 0.993349i | \(-0.463267\pi\) |
0.917837 | + | 0.396958i | \(0.129934\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 7.48979 | − | 12.9727i | 0.0264657 | − | 0.0458399i | −0.852489 | − | 0.522745i | \(-0.824908\pi\) |
0.878955 | + | 0.476905i | \(0.158241\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 220.212 | + | 127.140i | 0.772675 | + | 0.446104i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 509.834i | 1.77643i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 282.535 | 0.977629 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −152.106 | − | 263.456i | −0.522701 | − | 0.905345i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −261.015 | − | 150.697i | −0.890837 | − | 0.514325i | −0.0166210 | − | 0.999862i | \(-0.505291\pi\) |
−0.874216 | + | 0.485537i | \(0.838624\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −12.0051 | − | 20.7934i | −0.0406953 | − | 0.0704863i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 386.045 | − | 222.883i | 1.29981 | − | 0.750448i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 7.27755 | − | 4.20169i | 0.0243396 | − | 0.0140525i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −218.793 | + | 378.960i | −0.726887 | + | 1.25900i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 3.59082 | − | 2.07316i | 0.0118509 | − | 0.00684211i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 160.124i | 0.524997i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −44.7469 | −0.145755 | −0.0728777 | − | 0.997341i | \(-0.523218\pi\) | ||||
−0.0728777 | + | 0.997341i | \(0.523218\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −2.37857 | + | 4.11980i | −0.00769763 | + | 0.0133327i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 281.348 | + | 162.436i | 0.904656 | + | 0.522303i | 0.878708 | − | 0.477360i | \(-0.158406\pi\) |
0.0259480 | + | 0.999663i | \(0.491740\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −156.894 | − | 271.748i | −0.501258 | − | 0.868205i | −0.999999 | − | 0.00145368i | \(-0.999537\pi\) |
0.498741 | − | 0.866751i | \(-0.333796\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 452.065i | 1.43513i | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −47.9847 | + | 27.7040i | −0.151371 | + | 0.0873942i | −0.573773 | − | 0.819015i | \(-0.694521\pi\) |
0.422401 | + | 0.906409i | \(0.361187\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 125.793 | − | 217.880i | 0.394335 | − | 0.683008i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 309.669i | 0.964702i | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − | 54.9119i | − | 0.170006i | ||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −26.8490 | −0.0826123 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −43.2122 | −0.132148 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −744.802 | − | 430.012i | −2.26384 | − | 1.30703i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −7.70204 | − | 13.3403i | −0.0232690 | − | 0.0403031i | 0.854156 | − | 0.520016i | \(-0.174074\pi\) |
−0.877425 | + | 0.479713i | \(0.840741\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −93.6367 | −0.281191 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 370.419 | − | 213.862i | 1.10573 | − | 0.638393i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −37.8837 | + | 65.6164i | −0.112414 | + | 0.194708i | −0.916743 | − | 0.399477i | \(-0.869192\pi\) |
0.804329 | + | 0.594184i | \(0.202525\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 276.227 | + | 159.479i | 0.814828 | + | 0.470441i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 449.102i | 1.31701i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 841.949 | 2.45466 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 17.6816 | + | 30.6255i | 0.0512511 | + | 0.0887695i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 578.651 | + | 334.084i | 1.66758 | + | 0.962779i | 0.968936 | + | 0.247312i | \(0.0795472\pi\) |
0.698646 | + | 0.715467i | \(0.253786\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 123.015 | + | 213.069i | 0.352479 | + | 0.610512i | 0.986683 | − | 0.162654i | \(-0.0520053\pi\) |
−0.634204 | + | 0.773166i | \(0.718672\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −37.7724 | + | 65.4238i | −0.107614 | + | 0.186393i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 156.510 | − | 90.3612i | 0.443372 | − | 0.255981i | −0.261655 | − | 0.965161i | \(-0.584268\pi\) |
0.705027 | + | 0.709181i | \(0.250935\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 103.778 | − | 179.748i | 0.292331 | − | 0.506332i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 84.5449 | − | 48.8120i | 0.236820 | − | 0.136728i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | − | 256.273i | − | 0.713852i | −0.934133 | − | 0.356926i | \(-0.883825\pi\) | ||
0.934133 | − | 0.356926i | \(-0.116175\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 105.384 | 0.291922 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −227.363 | + | 393.805i | −0.626345 | + | 1.08486i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −233.808 | − | 134.989i | −0.640570 | − | 0.369833i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −270.358 | − | 468.274i | −0.736671 | − | 1.27595i | −0.953986 | − | 0.299850i | \(-0.903063\pi\) |
0.217316 | − | 0.976101i | \(-0.430270\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −310.500 | − | 179.267i | −0.841463 | − | 0.485819i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −1115.88 | + | 644.252i | −3.00776 | + | 1.73653i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 85.9847 | − | 148.930i | 0.230522 | − | 0.399276i | −0.727440 | − | 0.686171i | \(-0.759290\pi\) |
0.957962 | + | 0.286896i | \(0.0926233\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | − | 407.347i | − | 1.08626i | ||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 42.6367i | 0.113095i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −170.849 | −0.450789 | −0.225394 | − | 0.974268i | \(-0.572367\pi\) | ||||
−0.225394 | + | 0.974268i | \(0.572367\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 551.939 | 1.44866 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −505.681 | − | 291.955i | −1.32031 | − | 0.762284i | −0.336536 | − | 0.941671i | \(-0.609255\pi\) |
−0.983779 | + | 0.179386i | \(0.942589\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −414.641 | − | 718.179i | −1.07699 | − | 1.86540i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −153.863 | − | 266.499i | −0.397579 | − | 0.688628i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −384.752 | + | 222.137i | −0.989080 | + | 0.571045i | −0.904999 | − | 0.425413i | \(-0.860129\pi\) |
−0.0840807 | + | 0.996459i | \(0.526795\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.81837 | − | 6.61361i | 0.00976565 | − | 0.0169146i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 275.076 | + | 158.815i | 0.699938 | + | 0.404109i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | − | 100.419i | − | 0.254225i | ||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −575.090 | −1.44859 | −0.724294 | − | 0.689491i | \(-0.757834\pi\) | ||||
−0.724294 | + | 0.689491i | \(0.757834\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 414.576 | + | 718.066i | 1.03904 | + | 1.79966i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 141.318 | + | 81.5902i | 0.352415 | + | 0.203467i | 0.665748 | − | 0.746176i | \(-0.268112\pi\) |
−0.313333 | + | 0.949643i | \(0.601446\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −38.0551 | − | 65.9134i | −0.0944295 | − | 0.163557i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −275.317 | − | 158.955i | −0.679796 | − | 0.392480i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 148.757 | − | 85.8850i | 0.365497 | − | 0.211020i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 300.641 | − | 520.725i | 0.735063 | − | 1.27317i | −0.219633 | − | 0.975583i | \(-0.570486\pi\) |
0.954696 | − | 0.297584i | \(-0.0961808\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 495.863 | − | 286.287i | 1.20648 | − | 0.696562i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − | 78.2922i | − | 0.189570i | ||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −236.051 | −0.568798 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −142.469 | + | 246.764i | −0.341653 | + | 0.591761i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −158.620 | − | 91.5795i | −0.378569 | − | 0.218567i | 0.298626 | − | 0.954370i | \(-0.403472\pi\) |
−0.677195 | + | 0.735803i | \(0.736805\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −83.7724 | − | 145.098i | −0.198984 | − | 0.344651i | 0.749215 | − | 0.662327i | \(-0.230431\pi\) |
−0.948199 | + | 0.317676i | \(0.897098\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 523.772 | − | 302.400i | 1.23823 | − | 0.714894i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −21.1306 | + | 12.1998i | −0.0497191 | + | 0.0287053i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −261.065 | + | 452.178i | −0.611394 | + | 1.05897i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | − | 138.582i | − | 0.323034i | ||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | − | 644.766i | − | 1.49598i | −0.663712 | − | 0.747988i | \(-0.731020\pi\) | ||
0.663712 | − | 0.747988i | \(-0.268980\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 133.514 | 0.308347 | 0.154174 | − | 0.988044i | \(-0.450729\pi\) | ||||
0.154174 | + | 0.988044i | \(0.450729\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −179.424 | −0.412470 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 56.1714 | + | 32.4306i | 0.128539 | + | 0.0742119i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 46.2276 | + | 80.0685i | 0.105302 | + | 0.182388i | 0.913862 | − | 0.406026i | \(-0.133086\pi\) |
−0.808560 | + | 0.588414i | \(0.799752\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −516.545 | + | 894.682i | −1.17130 | + | 2.02876i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −150.157 | + | 86.6933i | −0.338955 | + | 0.195696i | −0.659810 | − | 0.751433i | \(-0.729363\pi\) |
0.320855 | + | 0.947128i | \(0.396030\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −14.9694 | + | 25.9277i | −0.0336391 | + | 0.0582646i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −238.834 | − | 137.891i | −0.534304 | − | 0.308480i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 430.692i | 0.959224i | 0.877481 | + | 0.479612i | \(0.159223\pi\) | ||||
−0.877481 | + | 0.479612i | \(0.840777\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 657.706 | 1.45833 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −24.6214 | − | 42.6456i | −0.0543519 | − | 0.0941403i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 121.711 | + | 70.2700i | 0.267497 | + | 0.154440i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 262.843 | + | 455.257i | 0.575148 | + | 0.996186i | 0.996025 | + | 0.0890687i | \(0.0283891\pi\) |
−0.420877 | + | 0.907118i | \(0.638278\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 68.6528i | 0.149570i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 1.54999 | − | 0.894890i | 0.00336224 | − | 0.00194119i | −0.498318 | − | 0.866994i | \(-0.666049\pi\) |
0.501680 | + | 0.865053i | \(0.332715\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −263.166 | + | 455.817i | −0.568394 | + | 0.984487i | 0.428331 | + | 0.903622i | \(0.359102\pi\) |
−0.996725 | + | 0.0808651i | \(0.974232\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 277.378 | − | 160.144i | 0.596511 | − | 0.344396i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 409.322i | 0.876494i | 0.898855 | + | 0.438247i | \(0.144400\pi\) | ||||
−0.898855 | + | 0.438247i | \(0.855600\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 1394.72 | 2.97381 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −317.954 | + | 550.713i | −0.675062 | + | 1.16924i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 488.873 | + | 282.251i | 1.03356 | + | 0.596726i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −103.616 | − | 179.469i | −0.218140 | − | 0.377829i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − | 906.124i | − | 1.89963i | ||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 525.207 | − | 303.228i | 1.09647 | − | 0.633045i | 0.161175 | − | 0.986926i | \(-0.448472\pi\) |
0.935290 | + | 0.353881i | \(0.115138\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −14.5551 | + | 25.2102i | −0.0302601 | + | 0.0524120i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 115.312i | 0.238742i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | − | 397.991i | − | 0.820600i | ||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −275.131 | −0.564950 | −0.282475 | − | 0.959275i | \(-0.591155\pi\) | ||||
−0.282475 | + | 0.959275i | \(0.591155\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −518.363 | −1.06005 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −127.469 | − | 73.5945i | −0.259612 | − | 0.149887i | 0.364546 | − | 0.931186i | \(-0.381224\pi\) |
−0.624157 | + | 0.781299i | \(0.714558\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 19.3735 | + | 33.5558i | 0.0392971 | + | 0.0680646i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 583.182 | 1.17814 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 586.120 | − | 338.397i | 1.17932 | − | 0.680879i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −226.308 | + | 391.977i | −0.453523 | + | 0.785526i | −0.998602 | − | 0.0528594i | \(-0.983166\pi\) |
0.545079 | + | 0.838385i | \(0.316500\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 489.591 | + | 282.665i | 0.977227 | + | 0.564202i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 571.541i | 1.13627i | 0.822937 | + | 0.568133i | \(0.192334\pi\) | ||||
−0.822937 | + | 0.568133i | \(0.807666\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 5.42449 | 0.0107416 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −241.757 | − | 418.736i | −0.476839 | − | 0.825909i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 394.136 | + | 227.554i | 0.774333 | + | 0.447062i | 0.834418 | − | 0.551132i | \(-0.185804\pi\) |
−0.0600849 | + | 0.998193i | \(0.519137\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −440.171 | − | 762.399i | −0.861392 | − | 1.49198i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −583.090 | −1.13663 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −5.38981 | + | 3.11181i | −0.0104656 | + | 0.00604234i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −554.732 | + | 960.823i | −1.07298 | + | 1.85846i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −156.591 | + | 90.4077i | −0.301716 | + | 0.174196i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 846.127i | 1.62404i | 0.583627 | + | 0.812022i | \(0.301633\pi\) | ||||
−0.583627 | + | 0.812022i | \(0.698367\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −487.616 | −0.932345 | −0.466172 | − | 0.884694i | \(-0.654367\pi\) | ||||
−0.466172 | + | 0.884694i | \(0.654367\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 184.212 | − | 319.065i | 0.350880 | − | 0.607743i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −59.9000 | − | 34.5833i | −0.113662 | − | 0.0656229i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −259.990 | − | 450.316i | −0.491474 | − | 0.851258i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 47.6816 | + | 27.5290i | 0.0897959 | + | 0.0518437i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −96.5296 | + | 55.7314i | −0.181106 | + | 0.104562i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −202.565 | + | 350.853i | −0.378627 | + | 0.655801i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | − | 218.132i | − | 0.406205i | ||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − | 1895.13i | − | 3.51601i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 608.302 | 1.12440 | 0.562202 | − | 0.827000i | \(-0.309955\pi\) | ||||
0.562202 | + | 0.827000i | \(0.309955\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 292.788 | 0.539204 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −48.9592 | − | 28.2666i | −0.0898334 | − | 0.0518653i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 431.671 | + | 747.677i | 0.789162 | + | 1.36687i | 0.926481 | + | 0.376341i | \(0.122818\pi\) |
−0.137319 | + | 0.990527i | \(0.543849\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −183.591 | − | 317.989i | −0.334409 | − | 0.579214i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −285.000 | + | 164.545i | −0.517241 | + | 0.298629i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 163.722 | − | 283.576i | 0.296062 | − | 0.512795i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −106.090 | − | 61.2510i | −0.191153 | − | 0.110362i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 331.526i | 0.595200i | 0.954691 | + | 0.297600i | \(0.0961861\pi\) | ||||
−0.954691 | + | 0.297600i | \(0.903814\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −95.6674 | −0.171140 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −62.9694 | − | 109.066i | −0.112245 | − | 0.194414i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 514.024 | + | 296.772i | 0.913010 | + | 0.527126i | 0.881398 | − | 0.472374i | \(-0.156603\pi\) |
0.0316114 | + | 0.999500i | \(0.489936\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 208.642 | + | 361.378i | 0.369278 | + | 0.639608i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −518.317 | − | 897.752i | −0.914140 | − | 1.58334i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 889.155 | − | 513.354i | 1.56266 | − | 0.902204i | 0.565676 | − | 0.824627i | \(-0.308615\pi\) |
0.996986 | − | 0.0775764i | \(-0.0247182\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −191.843 | + | 332.282i | −0.335977 | + | 0.581929i | −0.983672 | − | 0.179971i | \(-0.942400\pi\) |
0.647695 | + | 0.761900i | \(0.275733\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −847.681 | + | 489.409i | −1.47937 | + | 0.854116i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | − | 28.8204i | − | 0.0501224i | ||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −777.433 | −1.34737 | −0.673685 | − | 0.739019i | \(-0.735290\pi\) | ||||
−0.673685 | + | 0.739019i | \(0.735290\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 31.5306 | − | 54.6126i | 0.0544570 | − | 0.0943223i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −666.591 | − | 384.856i | −1.14732 | − | 0.662403i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 831.110 | + | 1439.53i | 1.42557 | + | 2.46917i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −85.5918 | + | 49.4165i | −0.146311 | + | 0.0844726i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 581.520 | − | 335.741i | 0.990665 | − | 0.571961i | 0.0851921 | − | 0.996365i | \(-0.472850\pi\) |
0.905473 | + | 0.424404i | \(0.139516\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 293.727 | − | 508.749i | 0.498687 | − | 0.863751i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − | 97.6240i | − | 0.165184i | ||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | − | 536.457i | − | 0.904650i | −0.891853 | − | 0.452325i | \(-0.850595\pi\) | ||
0.891853 | − | 0.452325i | \(-0.149405\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 127.718 | 0.214653 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 186.000 | 0.311558 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | −735.438 | − | 424.605i | −1.22778 | − | 0.708857i | −0.261212 | − | 0.965282i | \(-0.584122\pi\) |
−0.966564 | + | 0.256425i | \(0.917455\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −330.692 | − | 572.775i | −0.550236 | − | 0.953037i | −0.998257 | − | 0.0590138i | \(-0.981204\pi\) |
0.448021 | − | 0.894023i | \(-0.352129\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −490.408 | + | 849.412i | −0.813281 | + | 1.40864i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −515.202 | + | 297.452i | −0.851574 | + | 0.491656i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 10.9541 | − | 18.9730i | 0.0180463 | − | 0.0312570i | −0.856861 | − | 0.515547i | \(-0.827589\pi\) |
0.874908 | + | 0.484290i | \(0.160922\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −506.682 | − | 292.533i | −0.831990 | − | 0.480349i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 188.023i | − | 0.307730i | ||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1164.75 | −1.90008 | −0.950038 | − | 0.312133i | \(-0.898956\pi\) | ||||
−0.950038 | + | 0.312133i | \(0.898956\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −234.530 | − | 406.217i | −0.381349 | − | 0.660516i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 558.227 | + | 322.292i | 0.904743 | + | 0.522354i | 0.878736 | − | 0.477308i | \(-0.158387\pi\) |
0.0260071 | + | 0.999662i | \(0.491721\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −564.469 | − | 977.690i | −0.911905 | − | 1.57947i | −0.811370 | − | 0.584533i | \(-0.801278\pi\) |
−0.100535 | − | 0.994933i | \(-0.532056\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −70.2276 | − | 40.5459i | −0.113088 | − | 0.0652913i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −84.5449 | + | 48.8120i | −0.135706 | + | 0.0783499i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 146.510 | − | 253.763i | 0.234416 | − | 0.406021i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 926.333 | − | 534.818i | 1.47740 | − | 0.852980i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 26.4544i | 0.0420579i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 143.212 | 0.226961 | 0.113480 | − | 0.993540i | \(-0.463800\pi\) | ||||
0.113480 | + | 0.993540i | \(0.463800\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −252.894 | + | 438.025i | −0.399516 | + | 0.691983i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 625.343 | + | 361.042i | 0.984792 | + | 0.568570i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 160.586 | + | 278.143i | 0.252097 | + | 0.436645i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 475.946i | 0.744830i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −198.418 | + | 114.557i | −0.309545 | + | 0.178716i | −0.646723 | − | 0.762725i | \(-0.723861\pi\) |
0.337178 | + | 0.941441i | \(0.390528\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 554.682 | − | 960.737i | 0.862646 | − | 1.49415i | −0.00671893 | − | 0.999977i | \(-0.502139\pi\) |
0.869365 | − | 0.494170i | \(-0.164528\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | − | 402.589i | − | 0.624169i | ||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 1052.57i | 1.62685i | 0.581669 | + | 0.813426i | \(0.302400\pi\) | ||||
−0.581669 | + | 0.813426i | \(0.697600\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −101.000 | −0.155624 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1044.39 | 1.60429 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | −795.499 | − | 459.282i | −1.21822 | − | 0.703341i | −0.253685 | − | 0.967287i | \(-0.581643\pi\) |
−0.964537 | + | 0.263946i | \(0.914976\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 207.772 | + | 359.872i | 0.317210 | + | 0.549424i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 619.090 | 0.942298 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −207.288 | + | 119.678i | −0.314549 | + | 0.181605i | −0.648960 | − | 0.760822i | \(-0.724796\pi\) |
0.334411 | + | 0.942427i | \(0.391463\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −177.793 | + | 307.946i | −0.268976 | + | 0.465879i | −0.968598 | − | 0.248634i | \(-0.920018\pi\) |
0.699622 | + | 0.714513i | \(0.253352\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 18.4837 | + | 10.6715i | 0.0278788 | + | 0.0160958i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 1084.75i | 1.63121i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −45.7673 | −0.0686167 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −234.560 | − | 406.270i | −0.350613 | − | 0.607280i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 583.328 | + | 336.784i | 0.869341 | + | 0.501914i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 291.429 | + | 504.769i | 0.433029 | + | 0.750028i | 0.997132 | − | 0.0756758i | \(-0.0241114\pi\) |
−0.564103 | + | 0.825704i | \(0.690778\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 129.545 | + | 224.378i | 0.191918 | + | 0.332412i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −154.450 | + | 89.1718i | −0.228139 | + | 0.131716i | −0.609713 | − | 0.792622i | \(-0.708715\pi\) |
0.381574 | + | 0.924338i | \(0.375382\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 648.883 | − | 1123.90i | 0.955645 | − | 1.65522i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −259.953 | + | 150.084i | −0.381723 | + | 0.220388i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 660.510i | 0.967072i | 0.875325 | + | 0.483536i | \(0.160648\pi\) | ||||
−0.875325 | + | 0.483536i | \(0.839352\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 749.080 | 1.09355 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −314.985 | + | 545.569i | −0.458493 | + | 0.794133i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −243.959 | − | 140.850i | −0.354077 | − | 0.204427i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −43.2571 | − | 74.9236i | −0.0626008 | − | 0.108428i | 0.833026 | − | 0.553233i | \(-0.186606\pi\) |
−0.895627 | + | 0.444805i | \(0.853273\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1646.86 | + | 950.816i | 2.37642 | + | 1.37203i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −322.834 | + | 186.388i | −0.464509 | + | 0.268184i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −50.6469 | + | 87.7231i | −0.0726642 | + | 0.125858i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 921.380i | 1.31814i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − | 1204.11i | − | 1.71770i | −0.512227 | − | 0.858850i | \(-0.671179\pi\) | ||
0.512227 | − | 0.858850i | \(-0.328821\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −224.686 | −0.319610 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 791.241 | 1.12233 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 15.3184 | + | 8.84406i | 0.0216667 | + | 0.0125093i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 401.944 | + | 696.187i | 0.566917 | + | 0.981928i | 0.996869 | + | 0.0790766i | \(0.0251972\pi\) |
−0.429952 | + | 0.902852i | \(0.641470\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 115.136 | + | 199.421i | 0.161935 | + | 0.280479i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 70.7531 | − | 40.8493i | 0.0992329 | − | 0.0572921i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 90.6510 | − | 157.012i | 0.126785 | − | 0.219597i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 211.166 | + | 121.917i | 0.294514 | + | 0.170038i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − | 66.1101i | − | 0.0919474i | −0.998943 | − | 0.0459737i | \(-0.985361\pi\) | ||
0.998943 | − | 0.0459737i | \(-0.0146390\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −20.2939 | −0.0281469 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −540.288 | − | 935.806i | −0.747286 | − | 1.29434i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 126.637 | + | 73.1138i | 0.174671 | + | 0.100847i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −259.834 | − | 450.045i | −0.357405 | − | 0.619044i | 0.630121 | − | 0.776497i | \(-0.283005\pi\) |
−0.987527 | + | 0.157453i | \(0.949672\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 729.000 | 1.00000 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −75.2918 | + | 43.4698i | −0.102998 | + | 0.0594662i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 80.1459 | − | 138.817i | 0.109340 | − | 0.189382i | −0.806163 | − | 0.591693i | \(-0.798460\pi\) |
0.915503 | + | 0.402311i | \(0.131793\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −1170.48 | + | 675.779i | −1.59249 | + | 0.919427i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − | 1799.24i | − | 2.44130i | ||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −122.849 | −0.166237 | −0.0831184 | − | 0.996540i | \(-0.526488\pi\) | ||||
−0.0831184 | + | 0.996540i | \(0.526488\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −90.6367 | + | 156.987i | −0.122317 | + | 0.211859i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −585.944 | − | 338.295i | −0.788619 | − | 0.455309i | 0.0508572 | − | 0.998706i | \(-0.483805\pi\) |
−0.839476 | + | 0.543397i | \(0.817138\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −180.398 | − | 312.458i | −0.242145 | − | 0.419407i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 468.771 | − | 270.645i | 0.627539 | − | 0.362310i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −1144.06 | + | 660.523i | −1.52745 | + | 0.881873i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −171.430 | + | 296.925i | −0.228268 | + | 0.395373i | −0.957295 | − | 0.289113i | \(-0.906640\pi\) |
0.729027 | + | 0.684485i | \(0.239973\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1200.54i | 1.59434i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − | 64.4229i | − | 0.0853283i | ||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −452.220 | −0.597385 | −0.298692 | − | 0.954349i | \(-0.596550\pi\) | ||||
−0.298692 | + | 0.954349i | \(0.596550\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 148.757 | 0.195991 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 203.520 | + | 117.503i | 0.267438 | + | 0.154405i | 0.627723 | − | 0.778437i | \(-0.283987\pi\) |
−0.360285 | + | 0.932842i | \(0.617320\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −92.1714 | − | 159.646i | −0.120801 | − | 0.209234i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −44.9082 | + | 77.7832i | −0.0587035 | + | 0.101677i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 14.8235 | − | 8.55834i | 0.0193266 | − | 0.0111582i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 318.439 | − | 551.552i | 0.414095 | − | 0.717233i | −0.581238 | − | 0.813733i | \(-0.697432\pi\) |
0.995333 | + | 0.0965005i | \(0.0307649\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −945.104 | − | 545.656i | −1.22582 | − | 0.707725i | ||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 592.885i | 0.766992i | 0.923543 | + | 0.383496i | \(0.125280\pi\) | ||||
−0.923543 | + | 0.383496i | \(0.874720\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −261.029 | −0.336811 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −199.727 | − | 345.936i | −0.257048 | − | 0.445221i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −745.059 | − | 430.160i | −0.956430 | − | 0.552195i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −436.545 | − | 756.118i | −0.558956 | − | 0.968141i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 356.317 | − | 205.720i | 0.455067 | − | 0.262733i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −720.480 | + | 415.969i | −0.917808 | + | 0.529897i | ||||
\(786\) |