Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [190,2,Mod(39,190)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(190, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("190.39");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 190 = 2 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 190.b (of order \(2\), degree \(1\), 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: | \(1.51715763840\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\zeta_{8})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 39.2 | ||
Root | \(0.707107 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 190.39 |
Dual form | 190.2.b.a.39.3 |
$q$-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 \(\left(\mathbb{Z}/190\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) |
\(\chi(n)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | 0.414214i | 0.239146i | 0.992825 | + | 0.119573i | \(0.0381526\pi\) | ||||
−0.992825 | + | 0.119573i | \(0.961847\pi\) | |||||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | 0.707107 | + | 2.12132i | 0.316228 | + | 0.948683i | ||||
\(6\) | 0.414214 | 0.169102 | ||||||||
\(7\) | 4.41421i | 1.66842i | 0.551450 | + | 0.834208i | \(0.314075\pi\) | ||||
−0.551450 | + | 0.834208i | \(0.685925\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.82843 | 0.942809 | ||||||||
\(10\) | 2.12132 | − | 0.707107i | 0.670820 | − | 0.223607i | ||||
\(11\) | −1.41421 | −0.426401 | −0.213201 | − | 0.977008i | \(-0.568389\pi\) | ||||
−0.213201 | + | 0.977008i | \(0.568389\pi\) | |||||||
\(12\) | − | 0.414214i | − | 0.119573i | ||||||
\(13\) | − | 5.82843i | − | 1.61651i | −0.588829 | − | 0.808257i | \(-0.700411\pi\) | ||
0.588829 | − | 0.808257i | \(-0.299589\pi\) | |||||||
\(14\) | 4.41421 | 1.17975 | ||||||||
\(15\) | −0.878680 | + | 0.292893i | −0.226874 | + | 0.0756247i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.00000i | 0.242536i | 0.992620 | + | 0.121268i | \(0.0386960\pi\) | ||||
−0.992620 | + | 0.121268i | \(0.961304\pi\) | |||||||
\(18\) | − | 2.82843i | − | 0.666667i | ||||||
\(19\) | 1.00000 | 0.229416 | ||||||||
\(20\) | −0.707107 | − | 2.12132i | −0.158114 | − | 0.474342i | ||||
\(21\) | −1.82843 | −0.398996 | ||||||||
\(22\) | 1.41421i | 0.301511i | ||||||||
\(23\) | − | 0.757359i | − | 0.157920i | −0.996878 | − | 0.0789602i | \(-0.974840\pi\) | ||
0.996878 | − | 0.0789602i | \(-0.0251600\pi\) | |||||||
\(24\) | −0.414214 | −0.0845510 | ||||||||
\(25\) | −4.00000 | + | 3.00000i | −0.800000 | + | 0.600000i | ||||
\(26\) | −5.82843 | −1.14305 | ||||||||
\(27\) | 2.41421i | 0.464616i | ||||||||
\(28\) | − | 4.41421i | − | 0.834208i | ||||||
\(29\) | 0.171573 | 0.0318603 | 0.0159301 | − | 0.999873i | \(-0.494929\pi\) | ||||
0.0159301 | + | 0.999873i | \(0.494929\pi\) | |||||||
\(30\) | 0.292893 | + | 0.878680i | 0.0534747 | + | 0.160424i | ||||
\(31\) | 6.24264 | 1.12121 | 0.560606 | − | 0.828083i | \(-0.310568\pi\) | ||||
0.560606 | + | 0.828083i | \(0.310568\pi\) | |||||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | − | 0.585786i | − | 0.101972i | ||||||
\(34\) | 1.00000 | 0.171499 | ||||||||
\(35\) | −9.36396 | + | 3.12132i | −1.58280 | + | 0.527599i | ||||
\(36\) | −2.82843 | −0.471405 | ||||||||
\(37\) | − | 8.48528i | − | 1.39497i | −0.716599 | − | 0.697486i | \(-0.754302\pi\) | ||
0.716599 | − | 0.697486i | \(-0.245698\pi\) | |||||||
\(38\) | − | 1.00000i | − | 0.162221i | ||||||
\(39\) | 2.41421 | 0.386584 | ||||||||
\(40\) | −2.12132 | + | 0.707107i | −0.335410 | + | 0.111803i | ||||
\(41\) | −4.24264 | −0.662589 | −0.331295 | − | 0.943527i | \(-0.607485\pi\) | ||||
−0.331295 | + | 0.943527i | \(0.607485\pi\) | |||||||
\(42\) | 1.82843i | 0.282132i | ||||||||
\(43\) | − | 1.75736i | − | 0.267995i | −0.990982 | − | 0.133997i | \(-0.957219\pi\) | ||
0.990982 | − | 0.133997i | \(-0.0427814\pi\) | |||||||
\(44\) | 1.41421 | 0.213201 | ||||||||
\(45\) | 2.00000 | + | 6.00000i | 0.298142 | + | 0.894427i | ||||
\(46\) | −0.757359 | −0.111667 | ||||||||
\(47\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(48\) | 0.414214i | 0.0597866i | ||||||||
\(49\) | −12.4853 | −1.78361 | ||||||||
\(50\) | 3.00000 | + | 4.00000i | 0.424264 | + | 0.565685i | ||||
\(51\) | −0.414214 | −0.0580015 | ||||||||
\(52\) | 5.82843i | 0.808257i | ||||||||
\(53\) | − | 5.48528i | − | 0.753461i | −0.926323 | − | 0.376731i | \(-0.877048\pi\) | ||
0.926323 | − | 0.376731i | \(-0.122952\pi\) | |||||||
\(54\) | 2.41421 | 0.328533 | ||||||||
\(55\) | −1.00000 | − | 3.00000i | −0.134840 | − | 0.404520i | ||||
\(56\) | −4.41421 | −0.589874 | ||||||||
\(57\) | 0.414214i | 0.0548639i | ||||||||
\(58\) | − | 0.171573i | − | 0.0225286i | ||||||
\(59\) | −6.89949 | −0.898238 | −0.449119 | − | 0.893472i | \(-0.648262\pi\) | ||||
−0.449119 | + | 0.893472i | \(0.648262\pi\) | |||||||
\(60\) | 0.878680 | − | 0.292893i | 0.113437 | − | 0.0378124i | ||||
\(61\) | 14.2426 | 1.82358 | 0.911792 | − | 0.410653i | \(-0.134699\pi\) | ||||
0.911792 | + | 0.410653i | \(0.134699\pi\) | |||||||
\(62\) | − | 6.24264i | − | 0.792816i | ||||||
\(63\) | 12.4853i | 1.57300i | ||||||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 12.3640 | − | 4.12132i | 1.53356 | − | 0.511187i | ||||
\(66\) | −0.585786 | −0.0721053 | ||||||||
\(67\) | 4.75736i | 0.581204i | 0.956844 | + | 0.290602i | \(0.0938555\pi\) | ||||
−0.956844 | + | 0.290602i | \(0.906144\pi\) | |||||||
\(68\) | − | 1.00000i | − | 0.121268i | ||||||
\(69\) | 0.313708 | 0.0377661 | ||||||||
\(70\) | 3.12132 | + | 9.36396i | 0.373069 | + | 1.11921i | ||||
\(71\) | −13.4142 | −1.59197 | −0.795987 | − | 0.605314i | \(-0.793048\pi\) | ||||
−0.795987 | + | 0.605314i | \(0.793048\pi\) | |||||||
\(72\) | 2.82843i | 0.333333i | ||||||||
\(73\) | − | 11.4853i | − | 1.34425i | −0.740437 | − | 0.672125i | \(-0.765382\pi\) | ||
0.740437 | − | 0.672125i | \(-0.234618\pi\) | |||||||
\(74\) | −8.48528 | −0.986394 | ||||||||
\(75\) | −1.24264 | − | 1.65685i | −0.143488 | − | 0.191317i | ||||
\(76\) | −1.00000 | −0.114708 | ||||||||
\(77\) | − | 6.24264i | − | 0.711415i | ||||||
\(78\) | − | 2.41421i | − | 0.273356i | ||||||
\(79\) | 6.48528 | 0.729651 | 0.364826 | − | 0.931076i | \(-0.381129\pi\) | ||||
0.364826 | + | 0.931076i | \(0.381129\pi\) | |||||||
\(80\) | 0.707107 | + | 2.12132i | 0.0790569 | + | 0.237171i | ||||
\(81\) | 7.48528 | 0.831698 | ||||||||
\(82\) | 4.24264i | 0.468521i | ||||||||
\(83\) | − | 14.4853i | − | 1.58997i | −0.606632 | − | 0.794983i | \(-0.707480\pi\) | ||
0.606632 | − | 0.794983i | \(-0.292520\pi\) | |||||||
\(84\) | 1.82843 | 0.199498 | ||||||||
\(85\) | −2.12132 | + | 0.707107i | −0.230089 | + | 0.0766965i | ||||
\(86\) | −1.75736 | −0.189501 | ||||||||
\(87\) | 0.0710678i | 0.00761927i | ||||||||
\(88\) | − | 1.41421i | − | 0.150756i | ||||||
\(89\) | −7.07107 | −0.749532 | −0.374766 | − | 0.927119i | \(-0.622277\pi\) | ||||
−0.374766 | + | 0.927119i | \(0.622277\pi\) | |||||||
\(90\) | 6.00000 | − | 2.00000i | 0.632456 | − | 0.210819i | ||||
\(91\) | 25.7279 | 2.69702 | ||||||||
\(92\) | 0.757359i | 0.0789602i | ||||||||
\(93\) | 2.58579i | 0.268134i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.707107 | + | 2.12132i | 0.0725476 | + | 0.217643i | ||||
\(96\) | 0.414214 | 0.0422755 | ||||||||
\(97\) | − | 0.343146i | − | 0.0348412i | −0.999848 | − | 0.0174206i | \(-0.994455\pi\) | ||
0.999848 | − | 0.0174206i | \(-0.00554543\pi\) | |||||||
\(98\) | 12.4853i | 1.26120i | ||||||||
\(99\) | −4.00000 | −0.402015 | ||||||||
\(100\) | 4.00000 | − | 3.00000i | 0.400000 | − | 0.300000i | ||||
\(101\) | 13.0711 | 1.30062 | 0.650310 | − | 0.759669i | \(-0.274639\pi\) | ||||
0.650310 | + | 0.759669i | \(0.274639\pi\) | |||||||
\(102\) | 0.414214i | 0.0410133i | ||||||||
\(103\) | − | 4.24264i | − | 0.418040i | −0.977911 | − | 0.209020i | \(-0.932973\pi\) | ||
0.977911 | − | 0.209020i | \(-0.0670273\pi\) | |||||||
\(104\) | 5.82843 | 0.571524 | ||||||||
\(105\) | −1.29289 | − | 3.87868i | −0.126173 | − | 0.378520i | ||||
\(106\) | −5.48528 | −0.532778 | ||||||||
\(107\) | 19.7279i | 1.90717i | 0.301124 | + | 0.953585i | \(0.402638\pi\) | ||||
−0.301124 | + | 0.953585i | \(0.597362\pi\) | |||||||
\(108\) | − | 2.41421i | − | 0.232308i | ||||||
\(109\) | 17.9706 | 1.72127 | 0.860634 | − | 0.509224i | \(-0.170068\pi\) | ||||
0.860634 | + | 0.509224i | \(0.170068\pi\) | |||||||
\(110\) | −3.00000 | + | 1.00000i | −0.286039 | + | 0.0953463i | ||||
\(111\) | 3.51472 | 0.333602 | ||||||||
\(112\) | 4.41421i | 0.417104i | ||||||||
\(113\) | 10.2426i | 0.963547i | 0.876296 | + | 0.481773i | \(0.160007\pi\) | ||||
−0.876296 | + | 0.481773i | \(0.839993\pi\) | |||||||
\(114\) | 0.414214 | 0.0387947 | ||||||||
\(115\) | 1.60660 | − | 0.535534i | 0.149816 | − | 0.0499388i | ||||
\(116\) | −0.171573 | −0.0159301 | ||||||||
\(117\) | − | 16.4853i | − | 1.52406i | ||||||
\(118\) | 6.89949i | 0.635150i | ||||||||
\(119\) | −4.41421 | −0.404650 | ||||||||
\(120\) | −0.292893 | − | 0.878680i | −0.0267374 | − | 0.0802121i | ||||
\(121\) | −9.00000 | −0.818182 | ||||||||
\(122\) | − | 14.2426i | − | 1.28947i | ||||||
\(123\) | − | 1.75736i | − | 0.158456i | ||||||
\(124\) | −6.24264 | −0.560606 | ||||||||
\(125\) | −9.19239 | − | 6.36396i | −0.822192 | − | 0.569210i | ||||
\(126\) | 12.4853 | 1.11228 | ||||||||
\(127\) | − | 2.48528i | − | 0.220533i | −0.993902 | − | 0.110267i | \(-0.964830\pi\) | ||
0.993902 | − | 0.110267i | \(-0.0351704\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | 0.727922 | 0.0640900 | ||||||||
\(130\) | −4.12132 | − | 12.3640i | −0.361464 | − | 1.08439i | ||||
\(131\) | −16.9706 | −1.48272 | −0.741362 | − | 0.671105i | \(-0.765820\pi\) | ||||
−0.741362 | + | 0.671105i | \(0.765820\pi\) | |||||||
\(132\) | 0.585786i | 0.0509862i | ||||||||
\(133\) | 4.41421i | 0.382761i | ||||||||
\(134\) | 4.75736 | 0.410973 | ||||||||
\(135\) | −5.12132 | + | 1.70711i | −0.440773 | + | 0.146924i | ||||
\(136\) | −1.00000 | −0.0857493 | ||||||||
\(137\) | 13.0000i | 1.11066i | 0.831628 | + | 0.555332i | \(0.187409\pi\) | ||||
−0.831628 | + | 0.555332i | \(0.812591\pi\) | |||||||
\(138\) | − | 0.313708i | − | 0.0267046i | ||||||
\(139\) | 12.0000 | 1.01783 | 0.508913 | − | 0.860818i | \(-0.330047\pi\) | ||||
0.508913 | + | 0.860818i | \(0.330047\pi\) | |||||||
\(140\) | 9.36396 | − | 3.12132i | 0.791399 | − | 0.263800i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 13.4142i | 1.12570i | ||||||||
\(143\) | 8.24264i | 0.689284i | ||||||||
\(144\) | 2.82843 | 0.235702 | ||||||||
\(145\) | 0.121320 | + | 0.363961i | 0.0100751 | + | 0.0302253i | ||||
\(146\) | −11.4853 | −0.950529 | ||||||||
\(147\) | − | 5.17157i | − | 0.426544i | ||||||
\(148\) | 8.48528i | 0.697486i | ||||||||
\(149\) | −17.6569 | −1.44651 | −0.723253 | − | 0.690583i | \(-0.757354\pi\) | ||||
−0.723253 | + | 0.690583i | \(0.757354\pi\) | |||||||
\(150\) | −1.65685 | + | 1.24264i | −0.135282 | + | 0.101461i | ||||
\(151\) | −10.4853 | −0.853280 | −0.426640 | − | 0.904422i | \(-0.640303\pi\) | ||||
−0.426640 | + | 0.904422i | \(0.640303\pi\) | |||||||
\(152\) | 1.00000i | 0.0811107i | ||||||||
\(153\) | 2.82843i | 0.228665i | ||||||||
\(154\) | −6.24264 | −0.503046 | ||||||||
\(155\) | 4.41421 | + | 13.2426i | 0.354558 | + | 1.06367i | ||||
\(156\) | −2.41421 | −0.193292 | ||||||||
\(157\) | 11.6569i | 0.930318i | 0.885227 | + | 0.465159i | \(0.154003\pi\) | ||||
−0.885227 | + | 0.465159i | \(0.845997\pi\) | |||||||
\(158\) | − | 6.48528i | − | 0.515941i | ||||||
\(159\) | 2.27208 | 0.180188 | ||||||||
\(160\) | 2.12132 | − | 0.707107i | 0.167705 | − | 0.0559017i | ||||
\(161\) | 3.34315 | 0.263477 | ||||||||
\(162\) | − | 7.48528i | − | 0.588099i | ||||||
\(163\) | 10.2426i | 0.802266i | 0.916020 | + | 0.401133i | \(0.131383\pi\) | ||||
−0.916020 | + | 0.401133i | \(0.868617\pi\) | |||||||
\(164\) | 4.24264 | 0.331295 | ||||||||
\(165\) | 1.24264 | − | 0.414214i | 0.0967394 | − | 0.0322465i | ||||
\(166\) | −14.4853 | −1.12428 | ||||||||
\(167\) | − | 18.2426i | − | 1.41166i | −0.708382 | − | 0.705829i | \(-0.750575\pi\) | ||
0.708382 | − | 0.705829i | \(-0.249425\pi\) | |||||||
\(168\) | − | 1.82843i | − | 0.141066i | ||||||
\(169\) | −20.9706 | −1.61312 | ||||||||
\(170\) | 0.707107 | + | 2.12132i | 0.0542326 | + | 0.162698i | ||||
\(171\) | 2.82843 | 0.216295 | ||||||||
\(172\) | 1.75736i | 0.133997i | ||||||||
\(173\) | − | 0.485281i | − | 0.0368953i | −0.999830 | − | 0.0184476i | \(-0.994128\pi\) | ||
0.999830 | − | 0.0184476i | \(-0.00587240\pi\) | |||||||
\(174\) | 0.0710678 | 0.00538764 | ||||||||
\(175\) | −13.2426 | − | 17.6569i | −1.00105 | − | 1.33473i | ||||
\(176\) | −1.41421 | −0.106600 | ||||||||
\(177\) | − | 2.85786i | − | 0.214810i | ||||||
\(178\) | 7.07107i | 0.529999i | ||||||||
\(179\) | 11.6569 | 0.871274 | 0.435637 | − | 0.900122i | \(-0.356523\pi\) | ||||
0.435637 | + | 0.900122i | \(0.356523\pi\) | |||||||
\(180\) | −2.00000 | − | 6.00000i | −0.149071 | − | 0.447214i | ||||
\(181\) | −8.48528 | −0.630706 | −0.315353 | − | 0.948974i | \(-0.602123\pi\) | ||||
−0.315353 | + | 0.948974i | \(0.602123\pi\) | |||||||
\(182\) | − | 25.7279i | − | 1.90708i | ||||||
\(183\) | 5.89949i | 0.436103i | ||||||||
\(184\) | 0.757359 | 0.0558333 | ||||||||
\(185\) | 18.0000 | − | 6.00000i | 1.32339 | − | 0.441129i | ||||
\(186\) | 2.58579 | 0.189599 | ||||||||
\(187\) | − | 1.41421i | − | 0.103418i | ||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −10.6569 | −0.775172 | ||||||||
\(190\) | 2.12132 | − | 0.707107i | 0.153897 | − | 0.0512989i | ||||
\(191\) | 12.5563 | 0.908546 | 0.454273 | − | 0.890863i | \(-0.349899\pi\) | ||||
0.454273 | + | 0.890863i | \(0.349899\pi\) | |||||||
\(192\) | − | 0.414214i | − | 0.0298933i | ||||||
\(193\) | 0.343146i | 0.0247002i | 0.999924 | + | 0.0123501i | \(0.00393125\pi\) | ||||
−0.999924 | + | 0.0123501i | \(0.996069\pi\) | |||||||
\(194\) | −0.343146 | −0.0246364 | ||||||||
\(195\) | 1.70711 | + | 5.12132i | 0.122248 | + | 0.366745i | ||||
\(196\) | 12.4853 | 0.891806 | ||||||||
\(197\) | − | 11.7574i | − | 0.837677i | −0.908061 | − | 0.418839i | \(-0.862437\pi\) | ||
0.908061 | − | 0.418839i | \(-0.137563\pi\) | |||||||
\(198\) | 4.00000i | 0.284268i | ||||||||
\(199\) | −9.24264 | −0.655193 | −0.327597 | − | 0.944818i | \(-0.606239\pi\) | ||||
−0.327597 | + | 0.944818i | \(0.606239\pi\) | |||||||
\(200\) | −3.00000 | − | 4.00000i | −0.212132 | − | 0.282843i | ||||
\(201\) | −1.97056 | −0.138993 | ||||||||
\(202\) | − | 13.0711i | − | 0.919677i | ||||||
\(203\) | 0.757359i | 0.0531562i | ||||||||
\(204\) | 0.414214 | 0.0290008 | ||||||||
\(205\) | −3.00000 | − | 9.00000i | −0.209529 | − | 0.628587i | ||||
\(206\) | −4.24264 | −0.295599 | ||||||||
\(207\) | − | 2.14214i | − | 0.148889i | ||||||
\(208\) | − | 5.82843i | − | 0.404129i | ||||||
\(209\) | −1.41421 | −0.0978232 | ||||||||
\(210\) | −3.87868 | + | 1.29289i | −0.267654 | + | 0.0892181i | ||||
\(211\) | −19.7279 | −1.35813 | −0.679063 | − | 0.734080i | \(-0.737614\pi\) | ||||
−0.679063 | + | 0.734080i | \(0.737614\pi\) | |||||||
\(212\) | 5.48528i | 0.376731i | ||||||||
\(213\) | − | 5.55635i | − | 0.380715i | ||||||
\(214\) | 19.7279 | 1.34857 | ||||||||
\(215\) | 3.72792 | − | 1.24264i | 0.254242 | − | 0.0847474i | ||||
\(216\) | −2.41421 | −0.164266 | ||||||||
\(217\) | 27.5563i | 1.87065i | ||||||||
\(218\) | − | 17.9706i | − | 1.21712i | ||||||
\(219\) | 4.75736 | 0.321473 | ||||||||
\(220\) | 1.00000 | + | 3.00000i | 0.0674200 | + | 0.202260i | ||||
\(221\) | 5.82843 | 0.392062 | ||||||||
\(222\) | − | 3.51472i | − | 0.235892i | ||||||
\(223\) | 15.1716i | 1.01596i | 0.861368 | + | 0.507982i | \(0.169608\pi\) | ||||
−0.861368 | + | 0.507982i | \(0.830392\pi\) | |||||||
\(224\) | 4.41421 | 0.294937 | ||||||||
\(225\) | −11.3137 | + | 8.48528i | −0.754247 | + | 0.565685i | ||||
\(226\) | 10.2426 | 0.681330 | ||||||||
\(227\) | − | 16.7574i | − | 1.11223i | −0.831107 | − | 0.556113i | \(-0.812292\pi\) | ||
0.831107 | − | 0.556113i | \(-0.187708\pi\) | |||||||
\(228\) | − | 0.414214i | − | 0.0274320i | ||||||
\(229\) | −14.9706 | −0.989283 | −0.494641 | − | 0.869097i | \(-0.664701\pi\) | ||||
−0.494641 | + | 0.869097i | \(0.664701\pi\) | |||||||
\(230\) | −0.535534 | − | 1.60660i | −0.0353121 | − | 0.105936i | ||||
\(231\) | 2.58579 | 0.170132 | ||||||||
\(232\) | 0.171573i | 0.0112643i | ||||||||
\(233\) | 24.9706i | 1.63588i | 0.575306 | + | 0.817938i | \(0.304883\pi\) | ||||
−0.575306 | + | 0.817938i | \(0.695117\pi\) | |||||||
\(234\) | −16.4853 | −1.07768 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 6.89949 | 0.449119 | ||||||||
\(237\) | 2.68629i | 0.174493i | ||||||||
\(238\) | 4.41421i | 0.286131i | ||||||||
\(239\) | 6.89949 | 0.446291 | 0.223146 | − | 0.974785i | \(-0.428367\pi\) | ||||
0.223146 | + | 0.974785i | \(0.428367\pi\) | |||||||
\(240\) | −0.878680 | + | 0.292893i | −0.0567185 | + | 0.0189062i | ||||
\(241\) | 8.97056 | 0.577845 | 0.288922 | − | 0.957353i | \(-0.406703\pi\) | ||||
0.288922 | + | 0.957353i | \(0.406703\pi\) | |||||||
\(242\) | 9.00000i | 0.578542i | ||||||||
\(243\) | 10.3431i | 0.663513i | ||||||||
\(244\) | −14.2426 | −0.911792 | ||||||||
\(245\) | −8.82843 | − | 26.4853i | −0.564028 | − | 1.69208i | ||||
\(246\) | −1.75736 | −0.112045 | ||||||||
\(247\) | − | 5.82843i | − | 0.370854i | ||||||
\(248\) | 6.24264i | 0.396408i | ||||||||
\(249\) | 6.00000 | 0.380235 | ||||||||
\(250\) | −6.36396 | + | 9.19239i | −0.402492 | + | 0.581378i | ||||
\(251\) | 3.55635 | 0.224475 | 0.112237 | − | 0.993681i | \(-0.464198\pi\) | ||||
0.112237 | + | 0.993681i | \(0.464198\pi\) | |||||||
\(252\) | − | 12.4853i | − | 0.786499i | ||||||
\(253\) | 1.07107i | 0.0673375i | ||||||||
\(254\) | −2.48528 | −0.155940 | ||||||||
\(255\) | −0.292893 | − | 0.878680i | −0.0183417 | − | 0.0550251i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 20.7279i | 1.29297i | 0.762926 | + | 0.646486i | \(0.223762\pi\) | ||||
−0.762926 | + | 0.646486i | \(0.776238\pi\) | |||||||
\(258\) | − | 0.727922i | − | 0.0453184i | ||||||
\(259\) | 37.4558 | 2.32739 | ||||||||
\(260\) | −12.3640 | + | 4.12132i | −0.766780 | + | 0.255593i | ||||
\(261\) | 0.485281 | 0.0300382 | ||||||||
\(262\) | 16.9706i | 1.04844i | ||||||||
\(263\) | 26.9706i | 1.66308i | 0.555468 | + | 0.831538i | \(0.312539\pi\) | ||||
−0.555468 | + | 0.831538i | \(0.687461\pi\) | |||||||
\(264\) | 0.585786 | 0.0360527 | ||||||||
\(265\) | 11.6360 | − | 3.87868i | 0.714796 | − | 0.238265i | ||||
\(266\) | 4.41421 | 0.270653 | ||||||||
\(267\) | − | 2.92893i | − | 0.179248i | ||||||
\(268\) | − | 4.75736i | − | 0.290602i | ||||||
\(269\) | 16.6274 | 1.01379 | 0.506896 | − | 0.862007i | \(-0.330793\pi\) | ||||
0.506896 | + | 0.862007i | \(0.330793\pi\) | |||||||
\(270\) | 1.70711 | + | 5.12132i | 0.103891 | + | 0.311674i | ||||
\(271\) | −27.2426 | −1.65487 | −0.827436 | − | 0.561560i | \(-0.810202\pi\) | ||||
−0.827436 | + | 0.561560i | \(0.810202\pi\) | |||||||
\(272\) | 1.00000i | 0.0606339i | ||||||||
\(273\) | 10.6569i | 0.644982i | ||||||||
\(274\) | 13.0000 | 0.785359 | ||||||||
\(275\) | 5.65685 | − | 4.24264i | 0.341121 | − | 0.255841i | ||||
\(276\) | −0.313708 | −0.0188830 | ||||||||
\(277\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(278\) | − | 12.0000i | − | 0.719712i | ||||||
\(279\) | 17.6569 | 1.05709 | ||||||||
\(280\) | −3.12132 | − | 9.36396i | −0.186535 | − | 0.559604i | ||||
\(281\) | 4.24264 | 0.253095 | 0.126547 | − | 0.991961i | \(-0.459610\pi\) | ||||
0.126547 | + | 0.991961i | \(0.459610\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | − | 32.1421i | − | 1.91065i | −0.295555 | − | 0.955326i | \(-0.595504\pi\) | ||
0.295555 | − | 0.955326i | \(-0.404496\pi\) | |||||||
\(284\) | 13.4142 | 0.795987 | ||||||||
\(285\) | −0.878680 | + | 0.292893i | −0.0520485 | + | 0.0173495i | ||||
\(286\) | 8.24264 | 0.487398 | ||||||||
\(287\) | − | 18.7279i | − | 1.10547i | ||||||
\(288\) | − | 2.82843i | − | 0.166667i | ||||||
\(289\) | 16.0000 | 0.941176 | ||||||||
\(290\) | 0.363961 | − | 0.121320i | 0.0213725 | − | 0.00712418i | ||||
\(291\) | 0.142136 | 0.00833214 | ||||||||
\(292\) | 11.4853i | 0.672125i | ||||||||
\(293\) | 5.48528i | 0.320454i | 0.987080 | + | 0.160227i | \(0.0512226\pi\) | ||||
−0.987080 | + | 0.160227i | \(0.948777\pi\) | |||||||
\(294\) | −5.17157 | −0.301612 | ||||||||
\(295\) | −4.87868 | − | 14.6360i | −0.284048 | − | 0.852143i | ||||
\(296\) | 8.48528 | 0.493197 | ||||||||
\(297\) | − | 3.41421i | − | 0.198113i | ||||||
\(298\) | 17.6569i | 1.02283i | ||||||||
\(299\) | −4.41421 | −0.255281 | ||||||||
\(300\) | 1.24264 | + | 1.65685i | 0.0717439 | + | 0.0956585i | ||||
\(301\) | 7.75736 | 0.447127 | ||||||||
\(302\) | 10.4853i | 0.603360i | ||||||||
\(303\) | 5.41421i | 0.311038i | ||||||||
\(304\) | 1.00000 | 0.0573539 | ||||||||
\(305\) | 10.0711 | + | 30.2132i | 0.576668 | + | 1.73000i | ||||
\(306\) | 2.82843 | 0.161690 | ||||||||
\(307\) | − | 17.6569i | − | 1.00773i | −0.863782 | − | 0.503865i | \(-0.831911\pi\) | ||
0.863782 | − | 0.503865i | \(-0.168089\pi\) | |||||||
\(308\) | 6.24264i | 0.355707i | ||||||||
\(309\) | 1.75736 | 0.0999727 | ||||||||
\(310\) | 13.2426 | − | 4.41421i | 0.752131 | − | 0.250710i | ||||
\(311\) | −4.75736 | −0.269765 | −0.134883 | − | 0.990862i | \(-0.543066\pi\) | ||||
−0.134883 | + | 0.990862i | \(0.543066\pi\) | |||||||
\(312\) | 2.41421i | 0.136678i | ||||||||
\(313\) | 7.97056i | 0.450523i | 0.974298 | + | 0.225261i | \(0.0723236\pi\) | ||||
−0.974298 | + | 0.225261i | \(0.927676\pi\) | |||||||
\(314\) | 11.6569 | 0.657834 | ||||||||
\(315\) | −26.4853 | + | 8.82843i | −1.49228 | + | 0.497426i | ||||
\(316\) | −6.48528 | −0.364826 | ||||||||
\(317\) | − | 9.48528i | − | 0.532746i | −0.963870 | − | 0.266373i | \(-0.914175\pi\) | ||
0.963870 | − | 0.266373i | \(-0.0858254\pi\) | |||||||
\(318\) | − | 2.27208i | − | 0.127412i | ||||||
\(319\) | −0.242641 | −0.0135853 | ||||||||
\(320\) | −0.707107 | − | 2.12132i | −0.0395285 | − | 0.118585i | ||||
\(321\) | −8.17157 | −0.456093 | ||||||||
\(322\) | − | 3.34315i | − | 0.186306i | ||||||
\(323\) | 1.00000i | 0.0556415i | ||||||||
\(324\) | −7.48528 | −0.415849 | ||||||||
\(325\) | 17.4853 | + | 23.3137i | 0.969909 | + | 1.29321i | ||||
\(326\) | 10.2426 | 0.567287 | ||||||||
\(327\) | 7.44365i | 0.411635i | ||||||||
\(328\) | − | 4.24264i | − | 0.234261i | ||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −0.414214 | − | 1.24264i | −0.0228017 | − | 0.0684051i | ||||
\(331\) | −19.2426 | −1.05767 | −0.528836 | − | 0.848724i | \(-0.677371\pi\) | ||||
−0.528836 | + | 0.848724i | \(0.677371\pi\) | |||||||
\(332\) | 14.4853i | 0.794983i | ||||||||
\(333\) | − | 24.0000i | − | 1.31519i | ||||||
\(334\) | −18.2426 | −0.998193 | ||||||||
\(335\) | −10.0919 | + | 3.36396i | −0.551378 | + | 0.183793i | ||||
\(336\) | −1.82843 | −0.0997489 | ||||||||
\(337\) | 14.1005i | 0.768103i | 0.923312 | + | 0.384052i | \(0.125472\pi\) | ||||
−0.923312 | + | 0.384052i | \(0.874528\pi\) | |||||||
\(338\) | 20.9706i | 1.14065i | ||||||||
\(339\) | −4.24264 | −0.230429 | ||||||||
\(340\) | 2.12132 | − | 0.707107i | 0.115045 | − | 0.0383482i | ||||
\(341\) | −8.82843 | −0.478086 | ||||||||
\(342\) | − | 2.82843i | − | 0.152944i | ||||||
\(343\) | − | 24.2132i | − | 1.30739i | ||||||
\(344\) | 1.75736 | 0.0947505 | ||||||||
\(345\) | 0.221825 | + | 0.665476i | 0.0119427 | + | 0.0358280i | ||||
\(346\) | −0.485281 | −0.0260889 | ||||||||
\(347\) | − | 5.51472i | − | 0.296046i | −0.988984 | − | 0.148023i | \(-0.952709\pi\) | ||
0.988984 | − | 0.148023i | \(-0.0472909\pi\) | |||||||
\(348\) | − | 0.0710678i | − | 0.00380963i | ||||||
\(349\) | −6.00000 | −0.321173 | −0.160586 | − | 0.987022i | \(-0.551338\pi\) | ||||
−0.160586 | + | 0.987022i | \(0.551338\pi\) | |||||||
\(350\) | −17.6569 | + | 13.2426i | −0.943799 | + | 0.707849i | ||||
\(351\) | 14.0711 | 0.751058 | ||||||||
\(352\) | 1.41421i | 0.0753778i | ||||||||
\(353\) | 2.51472i | 0.133845i | 0.997758 | + | 0.0669225i | \(0.0213180\pi\) | ||||
−0.997758 | + | 0.0669225i | \(0.978682\pi\) | |||||||
\(354\) | −2.85786 | −0.151894 | ||||||||
\(355\) | −9.48528 | − | 28.4558i | −0.503426 | − | 1.51028i | ||||
\(356\) | 7.07107 | 0.374766 | ||||||||
\(357\) | − | 1.82843i | − | 0.0967706i | ||||||
\(358\) | − | 11.6569i | − | 0.616084i | ||||||
\(359\) | 22.7574 | 1.20109 | 0.600544 | − | 0.799592i | \(-0.294951\pi\) | ||||
0.600544 | + | 0.799592i | \(0.294951\pi\) | |||||||
\(360\) | −6.00000 | + | 2.00000i | −0.316228 | + | 0.105409i | ||||
\(361\) | 1.00000 | 0.0526316 | ||||||||
\(362\) | 8.48528i | 0.445976i | ||||||||
\(363\) | − | 3.72792i | − | 0.195665i | ||||||
\(364\) | −25.7279 | −1.34851 | ||||||||
\(365\) | 24.3640 | − | 8.12132i | 1.27527 | − | 0.425089i | ||||
\(366\) | 5.89949 | 0.308372 | ||||||||
\(367\) | − | 25.4558i | − | 1.32878i | −0.747384 | − | 0.664392i | \(-0.768691\pi\) | ||
0.747384 | − | 0.664392i | \(-0.231309\pi\) | |||||||
\(368\) | − | 0.757359i | − | 0.0394801i | ||||||
\(369\) | −12.0000 | −0.624695 | ||||||||
\(370\) | −6.00000 | − | 18.0000i | −0.311925 | − | 0.935775i | ||||
\(371\) | 24.2132 | 1.25709 | ||||||||
\(372\) | − | 2.58579i | − | 0.134067i | ||||||
\(373\) | − | 9.00000i | − | 0.466002i | −0.972476 | − | 0.233001i | \(-0.925145\pi\) | ||
0.972476 | − | 0.233001i | \(-0.0748546\pi\) | |||||||
\(374\) | −1.41421 | −0.0731272 | ||||||||
\(375\) | 2.63604 | − | 3.80761i | 0.136124 | − | 0.196624i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − | 1.00000i | − | 0.0515026i | ||||||
\(378\) | 10.6569i | 0.548129i | ||||||||
\(379\) | −11.2426 | −0.577496 | −0.288748 | − | 0.957405i | \(-0.593239\pi\) | ||||
−0.288748 | + | 0.957405i | \(0.593239\pi\) | |||||||
\(380\) | −0.707107 | − | 2.12132i | −0.0362738 | − | 0.108821i | ||||
\(381\) | 1.02944 | 0.0527397 | ||||||||
\(382\) | − | 12.5563i | − | 0.642439i | ||||||
\(383\) | − | 12.2426i | − | 0.625570i | −0.949824 | − | 0.312785i | \(-0.898738\pi\) | ||
0.949824 | − | 0.312785i | \(-0.101262\pi\) | |||||||
\(384\) | −0.414214 | −0.0211377 | ||||||||
\(385\) | 13.2426 | − | 4.41421i | 0.674907 | − | 0.224969i | ||||
\(386\) | 0.343146 | 0.0174657 | ||||||||
\(387\) | − | 4.97056i | − | 0.252668i | ||||||
\(388\) | 0.343146i | 0.0174206i | ||||||||
\(389\) | −22.9289 | −1.16254 | −0.581272 | − | 0.813710i | \(-0.697445\pi\) | ||||
−0.581272 | + | 0.813710i | \(0.697445\pi\) | |||||||
\(390\) | 5.12132 | − | 1.70711i | 0.259328 | − | 0.0864427i | ||||
\(391\) | 0.757359 | 0.0383013 | ||||||||
\(392\) | − | 12.4853i | − | 0.630602i | ||||||
\(393\) | − | 7.02944i | − | 0.354588i | ||||||
\(394\) | −11.7574 | −0.592327 | ||||||||
\(395\) | 4.58579 | + | 13.7574i | 0.230736 | + | 0.692208i | ||||
\(396\) | 4.00000 | 0.201008 | ||||||||
\(397\) | 24.0000i | 1.20453i | 0.798298 | + | 0.602263i | \(0.205734\pi\) | ||||
−0.798298 | + | 0.602263i | \(0.794266\pi\) | |||||||
\(398\) | 9.24264i | 0.463292i | ||||||||
\(399\) | −1.82843 | −0.0915358 | ||||||||
\(400\) | −4.00000 | + | 3.00000i | −0.200000 | + | 0.150000i | ||||
\(401\) | −25.4142 | −1.26913 | −0.634563 | − | 0.772871i | \(-0.718820\pi\) | ||||
−0.634563 | + | 0.772871i | \(0.718820\pi\) | |||||||
\(402\) | 1.97056i | 0.0982827i | ||||||||
\(403\) | − | 36.3848i | − | 1.81245i | ||||||
\(404\) | −13.0711 | −0.650310 | ||||||||
\(405\) | 5.29289 | + | 15.8787i | 0.263006 | + | 0.789018i | ||||
\(406\) | 0.757359 | 0.0375871 | ||||||||
\(407\) | 12.0000i | 0.594818i | ||||||||
\(408\) | − | 0.414214i | − | 0.0205066i | ||||||
\(409\) | −25.2132 | −1.24671 | −0.623356 | − | 0.781938i | \(-0.714231\pi\) | ||||
−0.623356 | + | 0.781938i | \(0.714231\pi\) | |||||||
\(410\) | −9.00000 | + | 3.00000i | −0.444478 | + | 0.148159i | ||||
\(411\) | −5.38478 | −0.265611 | ||||||||
\(412\) | 4.24264i | 0.209020i | ||||||||
\(413\) | − | 30.4558i | − | 1.49863i | ||||||
\(414\) | −2.14214 | −0.105280 | ||||||||
\(415\) | 30.7279 | − | 10.2426i | 1.50837 | − | 0.502791i | ||||
\(416\) | −5.82843 | −0.285762 | ||||||||
\(417\) | 4.97056i | 0.243410i | ||||||||
\(418\) | 1.41421i | 0.0691714i | ||||||||
\(419\) | −19.4142 | −0.948446 | −0.474223 | − | 0.880405i | \(-0.657271\pi\) | ||||
−0.474223 | + | 0.880405i | \(0.657271\pi\) | |||||||
\(420\) | 1.29289 | + | 3.87868i | 0.0630867 | + | 0.189260i | ||||
\(421\) | 19.4853 | 0.949655 | 0.474827 | − | 0.880079i | \(-0.342511\pi\) | ||||
0.474827 | + | 0.880079i | \(0.342511\pi\) | |||||||
\(422\) | 19.7279i | 0.960340i | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.48528 | 0.266389 | ||||||||
\(425\) | −3.00000 | − | 4.00000i | −0.145521 | − | 0.194029i | ||||
\(426\) | −5.55635 | −0.269206 | ||||||||
\(427\) | 62.8701i | 3.04250i | ||||||||
\(428\) | − | 19.7279i | − | 0.953585i | ||||||
\(429\) | −3.41421 | −0.164840 | ||||||||
\(430\) | −1.24264 | − | 3.72792i | −0.0599255 | − | 0.179776i | ||||
\(431\) | −6.38478 | −0.307544 | −0.153772 | − | 0.988106i | \(-0.549142\pi\) | ||||
−0.153772 | + | 0.988106i | \(0.549142\pi\) | |||||||
\(432\) | 2.41421i | 0.116154i | ||||||||
\(433\) | 9.55635i | 0.459249i | 0.973279 | + | 0.229624i | \(0.0737498\pi\) | ||||
−0.973279 | + | 0.229624i | \(0.926250\pi\) | |||||||
\(434\) | 27.5563 | 1.32275 | ||||||||
\(435\) | −0.150758 | + | 0.0502525i | −0.00722827 | + | 0.00240942i | ||||
\(436\) | −17.9706 | −0.860634 | ||||||||
\(437\) | − | 0.757359i | − | 0.0362294i | ||||||
\(438\) | − | 4.75736i | − | 0.227315i | ||||||
\(439\) | 5.75736 | 0.274784 | 0.137392 | − | 0.990517i | \(-0.456128\pi\) | ||||
0.137392 | + | 0.990517i | \(0.456128\pi\) | |||||||
\(440\) | 3.00000 | − | 1.00000i | 0.143019 | − | 0.0476731i | ||||
\(441\) | −35.3137 | −1.68161 | ||||||||
\(442\) | − | 5.82843i | − | 0.277230i | ||||||
\(443\) | − | 4.24264i | − | 0.201574i | −0.994908 | − | 0.100787i | \(-0.967864\pi\) | ||
0.994908 | − | 0.100787i | \(-0.0321361\pi\) | |||||||
\(444\) | −3.51472 | −0.166801 | ||||||||
\(445\) | −5.00000 | − | 15.0000i | −0.237023 | − | 0.711068i | ||||
\(446\) | 15.1716 | 0.718395 | ||||||||
\(447\) | − | 7.31371i | − | 0.345927i | ||||||
\(448\) | − | 4.41421i | − | 0.208552i | ||||||
\(449\) | −17.3137 | −0.817084 | −0.408542 | − | 0.912739i | \(-0.633963\pi\) | ||||
−0.408542 | + | 0.912739i | \(0.633963\pi\) | |||||||
\(450\) | 8.48528 | + | 11.3137i | 0.400000 | + | 0.533333i | ||||
\(451\) | 6.00000 | 0.282529 | ||||||||
\(452\) | − | 10.2426i | − | 0.481773i | ||||||
\(453\) | − | 4.34315i | − | 0.204059i | ||||||
\(454\) | −16.7574 | −0.786462 | ||||||||
\(455\) | 18.1924 | + | 54.5772i | 0.852872 | + | 2.55862i | ||||
\(456\) | −0.414214 | −0.0193973 | ||||||||
\(457\) | − | 3.00000i | − | 0.140334i | −0.997535 | − | 0.0701670i | \(-0.977647\pi\) | ||
0.997535 | − | 0.0701670i | \(-0.0223532\pi\) | |||||||
\(458\) | 14.9706i | 0.699528i | ||||||||
\(459\) | −2.41421 | −0.112686 | ||||||||
\(460\) | −1.60660 | + | 0.535534i | −0.0749082 | + | 0.0249694i | ||||
\(461\) | −3.55635 | −0.165636 | −0.0828178 | − | 0.996565i | \(-0.526392\pi\) | ||||
−0.0828178 | + | 0.996565i | \(0.526392\pi\) | |||||||
\(462\) | − | 2.58579i | − | 0.120302i | ||||||
\(463\) | − | 14.1421i | − | 0.657241i | −0.944462 | − | 0.328620i | \(-0.893416\pi\) | ||
0.944462 | − | 0.328620i | \(-0.106584\pi\) | |||||||
\(464\) | 0.171573 | 0.00796507 | ||||||||
\(465\) | −5.48528 | + | 1.82843i | −0.254374 | + | 0.0847913i | ||||
\(466\) | 24.9706 | 1.15674 | ||||||||
\(467\) | 0.727922i | 0.0336842i | 0.999858 | + | 0.0168421i | \(0.00536126\pi\) | ||||
−0.999858 | + | 0.0168421i | \(0.994639\pi\) | |||||||
\(468\) | 16.4853i | 0.762032i | ||||||||
\(469\) | −21.0000 | −0.969690 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −4.82843 | −0.222482 | ||||||||
\(472\) | − | 6.89949i | − | 0.317575i | ||||||
\(473\) | 2.48528i | 0.114273i | ||||||||
\(474\) | 2.68629 | 0.123385 | ||||||||
\(475\) | −4.00000 | + | 3.00000i | −0.183533 | + | 0.137649i | ||||
\(476\) | 4.41421 | 0.202325 | ||||||||
\(477\) | − | 15.5147i | − | 0.710370i | ||||||
\(478\) | − | 6.89949i | − | 0.315576i | ||||||
\(479\) | 31.1127 | 1.42158 | 0.710788 | − | 0.703407i | \(-0.248339\pi\) | ||||
0.710788 | + | 0.703407i | \(0.248339\pi\) | |||||||
\(480\) | 0.292893 | + | 0.878680i | 0.0133687 | + | 0.0401061i | ||||
\(481\) | −49.4558 | −2.25499 | ||||||||
\(482\) | − | 8.97056i | − | 0.408598i | ||||||
\(483\) | 1.38478i | 0.0630095i | ||||||||
\(484\) | 9.00000 | 0.409091 | ||||||||
\(485\) | 0.727922 | − | 0.242641i | 0.0330532 | − | 0.0110177i | ||||
\(486\) | 10.3431 | 0.469175 | ||||||||
\(487\) | 37.7990i | 1.71284i | 0.516283 | + | 0.856418i | \(0.327315\pi\) | ||||
−0.516283 | + | 0.856418i | \(0.672685\pi\) | |||||||
\(488\) | 14.2426i | 0.644734i | ||||||||
\(489\) | −4.24264 | −0.191859 | ||||||||
\(490\) | −26.4853 | + | 8.82843i | −1.19648 | + | 0.398828i | ||||
\(491\) | −33.5563 | −1.51438 | −0.757188 | − | 0.653197i | \(-0.773428\pi\) | ||||
−0.757188 | + | 0.653197i | \(0.773428\pi\) | |||||||
\(492\) | 1.75736i | 0.0792279i | ||||||||
\(493\) | 0.171573i | 0.00772725i | ||||||||
\(494\) | −5.82843 | −0.262233 | ||||||||
\(495\) | −2.82843 | − | 8.48528i | −0.127128 | − | 0.381385i | ||||
\(496\) | 6.24264 | 0.280303 | ||||||||
\(497\) | − | 59.2132i | − | 2.65608i | ||||||
\(498\) | − | 6.00000i | − | 0.268866i | ||||||
\(499\) | 25.7574 | 1.15306 | 0.576529 | − | 0.817077i | \(-0.304407\pi\) | ||||
0.576529 | + | 0.817077i | \(0.304407\pi\) | |||||||
\(500\) | 9.19239 | + | 6.36396i | 0.411096 | + | 0.284605i | ||||
\(501\) | 7.55635 | 0.337593 | ||||||||
\(502\) | − | 3.55635i | − | 0.158728i | ||||||
\(503\) | − | 14.2721i | − | 0.636361i | −0.948030 | − | 0.318180i | \(-0.896928\pi\) | ||
0.948030 | − | 0.318180i | \(-0.103072\pi\) | |||||||
\(504\) | −12.4853 | −0.556139 | ||||||||
\(505\) | 9.24264 | + | 27.7279i | 0.411292 | + | 1.23388i | ||||
\(506\) | 1.07107 | 0.0476148 | ||||||||
\(507\) | − | 8.68629i | − | 0.385772i | ||||||
\(508\) | 2.48528i | 0.110267i | ||||||||
\(509\) | −28.9706 | −1.28410 | −0.642049 | − | 0.766664i | \(-0.721915\pi\) | ||||
−0.642049 | + | 0.766664i | \(0.721915\pi\) | |||||||
\(510\) | −0.878680 | + | 0.292893i | −0.0389086 | + | 0.0129695i | ||||
\(511\) | 50.6985 | 2.24277 | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 2.41421i | 0.106590i | ||||||||
\(514\) | 20.7279 | 0.914269 | ||||||||
\(515\) | 9.00000 | − | 3.00000i | 0.396587 | − | 0.132196i | ||||
\(516\) | −0.727922 | −0.0320450 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | − | 37.4558i | − | 1.64572i | ||||||
\(519\) | 0.201010 | 0.00882337 | ||||||||
\(520\) | 4.12132 | + | 12.3640i | 0.180732 | + | 0.542196i | ||||
\(521\) | 23.3137 | 1.02139 | 0.510696 | − | 0.859761i | \(-0.329388\pi\) | ||||
0.510696 | + | 0.859761i | \(0.329388\pi\) | |||||||
\(522\) | − | 0.485281i | − | 0.0212402i | ||||||
\(523\) | 2.27208i | 0.0993510i | 0.998765 | + | 0.0496755i | \(0.0158187\pi\) | ||||
−0.998765 | + | 0.0496755i | \(0.984181\pi\) | |||||||
\(524\) | 16.9706 | 0.741362 | ||||||||
\(525\) | 7.31371 | − | 5.48528i | 0.319196 | − | 0.239397i | ||||
\(526\) | 26.9706 | 1.17597 | ||||||||
\(527\) | 6.24264i | 0.271934i | ||||||||
\(528\) | − | 0.585786i | − | 0.0254931i | ||||||
\(529\) | 22.4264 | 0.975061 | ||||||||
\(530\) | −3.87868 | − | 11.6360i | −0.168479 | − | 0.505437i | ||||
\(531\) | −19.5147 | −0.846867 | ||||||||
\(532\) | − | 4.41421i | − | 0.191380i | ||||||
\(533\) | 24.7279i | 1.07109i | ||||||||
\(534\) | −2.92893 | −0.126747 | ||||||||
\(535\) | −41.8492 | + | 13.9497i | −1.80930 | + | 0.603100i | ||||
\(536\) | −4.75736 | −0.205487 | ||||||||
\(537\) | 4.82843i | 0.208362i | ||||||||
\(538\) | − | 16.6274i | − | 0.716859i | ||||||
\(539\) | 17.6569 | 0.760535 | ||||||||
\(540\) | 5.12132 | − | 1.70711i | 0.220387 | − | 0.0734622i | ||||
\(541\) | 9.75736 | 0.419502 | 0.209751 | − | 0.977755i | \(-0.432735\pi\) | ||||
0.209751 | + | 0.977755i | \(0.432735\pi\) | |||||||
\(542\) | 27.2426i | 1.17017i | ||||||||
\(543\) | − | 3.51472i | − | 0.150831i | ||||||
\(544\) | 1.00000 | 0.0428746 | ||||||||
\(545\) | 12.7071 | + | 38.1213i | 0.544313 | + | 1.63294i | ||||
\(546\) | 10.6569 | 0.456071 | ||||||||
\(547\) | − | 17.3137i | − | 0.740281i | −0.928976 | − | 0.370140i | \(-0.879310\pi\) | ||
0.928976 | − | 0.370140i | \(-0.120690\pi\) | |||||||
\(548\) | − | 13.0000i | − | 0.555332i | ||||||
\(549\) | 40.2843 | 1.71929 | ||||||||
\(550\) | −4.24264 | − | 5.65685i | −0.180907 | − | 0.241209i | ||||
\(551\) | 0.171573 | 0.00730925 | ||||||||
\(552\) | 0.313708i | 0.0133523i | ||||||||
\(553\) | 28.6274i | 1.21736i | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.48528 | + | 7.45584i | 0.105494 | + | 0.316483i | ||||
\(556\) | −12.0000 | −0.508913 | ||||||||
\(557\) | 16.0000i | 0.677942i | 0.940797 | + | 0.338971i | \(0.110079\pi\) | ||||
−0.940797 | + | 0.338971i | \(0.889921\pi\) | |||||||
\(558\) | − | 17.6569i | − | 0.747474i | ||||||
\(559\) | −10.2426 | −0.433218 | ||||||||
\(560\) | −9.36396 | + | 3.12132i | −0.395700 | + | 0.131900i | ||||
\(561\) | 0.585786 | 0.0247319 | ||||||||
\(562\) | − | 4.24264i | − | 0.178965i | ||||||
\(563\) | − | 4.97056i | − | 0.209484i | −0.994499 | − | 0.104742i | \(-0.966598\pi\) | ||
0.994499 | − | 0.104742i | \(-0.0334017\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −21.7279 | + | 7.24264i | −0.914101 | + | 0.304700i | ||||
\(566\) | −32.1421 | −1.35103 | ||||||||
\(567\) | 33.0416i | 1.38762i | ||||||||
\(568\) | − | 13.4142i | − | 0.562848i | ||||||
\(569\) | 28.2843 | 1.18574 | 0.592869 | − | 0.805299i | \(-0.297995\pi\) | ||||
0.592869 | + | 0.805299i | \(0.297995\pi\) | |||||||
\(570\) | 0.292893 | + | 0.878680i | 0.0122679 | + | 0.0368038i | ||||
\(571\) | −2.24264 | −0.0938516 | −0.0469258 | − | 0.998898i | \(-0.514942\pi\) | ||||
−0.0469258 | + | 0.998898i | \(0.514942\pi\) | |||||||
\(572\) | − | 8.24264i | − | 0.344642i | ||||||
\(573\) | 5.20101i | 0.217275i | ||||||||
\(574\) | −18.7279 | −0.781688 | ||||||||
\(575\) | 2.27208 | + | 3.02944i | 0.0947522 | + | 0.126336i | ||||
\(576\) | −2.82843 | −0.117851 | ||||||||
\(577\) | − | 20.3137i | − | 0.845671i | −0.906207 | − | 0.422835i | \(-0.861035\pi\) | ||
0.906207 | − | 0.422835i | \(-0.138965\pi\) | |||||||
\(578\) | − | 16.0000i | − | 0.665512i | ||||||
\(579\) | −0.142136 | −0.00590695 | ||||||||
\(580\) | −0.121320 | − | 0.363961i | −0.00503755 | − | 0.0151127i | ||||
\(581\) | 63.9411 | 2.65272 | ||||||||
\(582\) | − | 0.142136i | − | 0.00589171i | ||||||
\(583\) | 7.75736i | 0.321277i | ||||||||
\(584\) | 11.4853 | 0.475264 | ||||||||
\(585\) | 34.9706 | − | 11.6569i | 1.44585 | − | 0.481952i | ||||
\(586\) | 5.48528 | 0.226595 | ||||||||
\(587\) | 30.2426i | 1.24825i | 0.781326 | + | 0.624124i | \(0.214544\pi\) | ||||
−0.781326 | + | 0.624124i | \(0.785456\pi\) | |||||||
\(588\) | 5.17157i | 0.213272i | ||||||||
\(589\) | 6.24264 | 0.257224 | ||||||||
\(590\) | −14.6360 | + | 4.87868i | −0.602556 | + | 0.200852i | ||||
\(591\) | 4.87006 | 0.200327 | ||||||||
\(592\) | − | 8.48528i | − | 0.348743i | ||||||
\(593\) | − | 22.0000i | − | 0.903432i | −0.892162 | − | 0.451716i | \(-0.850812\pi\) | ||
0.892162 | − | 0.451716i | \(-0.149188\pi\) | |||||||
\(594\) | −3.41421 | −0.140087 | ||||||||
\(595\) | −3.12132 | − | 9.36396i | −0.127962 | − | 0.383885i | ||||
\(596\) | 17.6569 | 0.723253 | ||||||||
\(597\) | − | 3.82843i | − | 0.156687i | ||||||
\(598\) | 4.41421i | 0.180511i | ||||||||
\(599\) | 15.2132 | 0.621595 | 0.310797 | − | 0.950476i | \(-0.399404\pi\) | ||||
0.310797 | + | 0.950476i | \(0.399404\pi\) | |||||||
\(600\) | 1.65685 | − | 1.24264i | 0.0676408 | − | 0.0507306i | ||||
\(601\) | −20.2426 | −0.825715 | −0.412857 | − | 0.910796i | \(-0.635469\pi\) | ||||
−0.412857 | + | 0.910796i | \(0.635469\pi\) | |||||||
\(602\) | − | 7.75736i | − | 0.316166i | ||||||
\(603\) | 13.4558i | 0.547964i | ||||||||
\(604\) | 10.4853 | 0.426640 | ||||||||
\(605\) | −6.36396 | − | 19.0919i | −0.258732 | − | 0.776195i | ||||
\(606\) | 5.41421 | 0.219937 | ||||||||
\(607\) | 3.17157i | 0.128730i | 0.997926 | + | 0.0643651i | \(0.0205022\pi\) | ||||
−0.997926 | + | 0.0643651i | \(0.979498\pi\) | |||||||
\(608\) | − | 1.00000i | − | 0.0405554i | ||||||
\(609\) | −0.313708 | −0.0127121 | ||||||||
\(610\) | 30.2132 | − | 10.0711i | 1.22330 | − | 0.407766i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | − | 2.82843i | − | 0.114332i | ||||||
\(613\) | 11.6985i | 0.472497i | 0.971693 | + | 0.236249i | \(0.0759180\pi\) | ||||
−0.971693 | + | 0.236249i | \(0.924082\pi\) | |||||||
\(614\) | −17.6569 | −0.712573 | ||||||||
\(615\) | 3.72792 | − | 1.24264i | 0.150324 | − | 0.0501081i | ||||
\(616\) | 6.24264 | 0.251523 | ||||||||
\(617\) | − | 4.48528i | − | 0.180571i | −0.995916 | − | 0.0902853i | \(-0.971222\pi\) | ||
0.995916 | − | 0.0902853i | \(-0.0287779\pi\) | |||||||
\(618\) | − | 1.75736i | − | 0.0706914i | ||||||
\(619\) | −7.75736 | −0.311795 | −0.155897 | − | 0.987773i | \(-0.549827\pi\) | ||||
−0.155897 | + | 0.987773i | \(0.549827\pi\) | |||||||
\(620\) | −4.41421 | − | 13.2426i | −0.177279 | − | 0.531837i | ||||
\(621\) | 1.82843 | 0.0733723 | ||||||||
\(622\) | 4.75736i | 0.190753i | ||||||||
\(623\) | − | 31.2132i | − | 1.25053i | ||||||
\(624\) | 2.41421 | 0.0966459 | ||||||||
\(625\) | 7.00000 | − | 24.0000i | 0.280000 | − | 0.960000i | ||||
\(626\) | 7.97056 | 0.318568 | ||||||||
\(627\) | − | 0.585786i | − | 0.0233941i | ||||||
\(628\) | − | 11.6569i | − | 0.465159i | ||||||
\(629\) | 8.48528 | 0.338330 | ||||||||
\(630\) | 8.82843 | + | 26.4853i | 0.351733 | + | 1.05520i | ||||
\(631\) | −38.9706 | −1.55139 | −0.775697 | − | 0.631106i | \(-0.782601\pi\) | ||||
−0.775697 | + | 0.631106i | \(0.782601\pi\) | |||||||
\(632\) | 6.48528i | 0.257971i | ||||||||
\(633\) | − | 8.17157i | − | 0.324791i | ||||||
\(634\) | −9.48528 | −0.376709 | ||||||||
\(635\) | 5.27208 | − | 1.75736i | 0.209216 | − | 0.0697387i | ||||
\(636\) | −2.27208 | −0.0900938 | ||||||||
\(637\) | 72.7696i | 2.88323i | ||||||||
\(638\) | 0.242641i | 0.00960624i | ||||||||
\(639\) | −37.9411 | −1.50093 | ||||||||
\(640\) | −2.12132 | + | 0.707107i | −0.0838525 | + | 0.0279508i | ||||
\(641\) | −18.0416 | −0.712602 | −0.356301 | − | 0.934371i | \(-0.615962\pi\) | ||||
−0.356301 | + | 0.934371i | \(0.615962\pi\) | |||||||
\(642\) | 8.17157i | 0.322506i | ||||||||
\(643\) | 14.4853i | 0.571244i | 0.958342 | + | 0.285622i | \(0.0922001\pi\) | ||||
−0.958342 | + | 0.285622i | \(0.907800\pi\) | |||||||
\(644\) | −3.34315 | −0.131738 | ||||||||
\(645\) | 0.514719 | + | 1.54416i | 0.0202670 | + | 0.0608011i | ||||
\(646\) | 1.00000 | 0.0393445 | ||||||||
\(647\) | − | 18.7574i | − | 0.737428i | −0.929543 | − | 0.368714i | \(-0.879798\pi\) | ||
0.929543 | − | 0.368714i | \(-0.120202\pi\) | |||||||
\(648\) | 7.48528i | 0.294050i | ||||||||
\(649\) | 9.75736 | 0.383010 | ||||||||
\(650\) | 23.3137 | − | 17.4853i | 0.914439 | − | 0.685829i | ||||
\(651\) | −11.4142 | −0.447358 | ||||||||
\(652\) | − | 10.2426i | − | 0.401133i | ||||||
\(653\) | 28.9706i | 1.13371i | 0.823819 | + | 0.566853i | \(0.191839\pi\) | ||||
−0.823819 | + | 0.566853i | \(0.808161\pi\) | |||||||
\(654\) | 7.44365 | 0.291070 | ||||||||
\(655\) | −12.0000 | − | 36.0000i | −0.468879 | − | 1.40664i | ||||
\(656\) | −4.24264 | −0.165647 | ||||||||
\(657\) | − | 32.4853i | − | 1.26737i | ||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −18.8995 | −0.736220 | −0.368110 | − | 0.929782i | \(-0.619995\pi\) | ||||
−0.368110 | + | 0.929782i | \(0.619995\pi\) | |||||||
\(660\) | −1.24264 | + | 0.414214i | −0.0483697 | + | 0.0161232i | ||||
\(661\) | −18.4558 | −0.717849 | −0.358925 | − | 0.933367i | \(-0.616856\pi\) | ||||
−0.358925 | + | 0.933367i | \(0.616856\pi\) | |||||||
\(662\) | 19.2426i | 0.747886i | ||||||||
\(663\) | 2.41421i | 0.0937603i | ||||||||
\(664\) | 14.4853 | 0.562138 | ||||||||
\(665\) | −9.36396 | + | 3.12132i | −0.363119 | + | 0.121040i | ||||
\(666\) | −24.0000 | −0.929981 | ||||||||
\(667\) | − | 0.129942i | − | 0.00503139i | ||||||
\(668\) | 18.2426i | 0.705829i | ||||||||
\(669\) | −6.28427 | −0.242964 | ||||||||
\(670\) | 3.36396 | + | 10.0919i | 0.129961 | + | 0.389883i | ||||
\(671\) | −20.1421 | −0.777579 | ||||||||
\(672\) | 1.82843i | 0.0705331i | ||||||||
\(673\) | 12.0000i | 0.462566i | 0.972887 | + | 0.231283i | \(0.0742923\pi\) | ||||
−0.972887 | + | 0.231283i | \(0.925708\pi\) | |||||||
\(674\) | 14.1005 | 0.543131 | ||||||||
\(675\) | −7.24264 | − | 9.65685i | −0.278769 | − | 0.371692i | ||||
\(676\) | 20.9706 | 0.806560 | ||||||||
\(677\) | − | 40.9411i | − | 1.57350i | −0.617275 | − | 0.786748i | \(-0.711763\pi\) | ||
0.617275 | − | 0.786748i | \(-0.288237\pi\) | |||||||
\(678\) | 4.24264i | 0.162938i | ||||||||
\(679\) | 1.51472 | 0.0581296 | ||||||||
\(680\) | −0.707107 | − | 2.12132i | −0.0271163 | − | 0.0813489i | ||||
\(681\) | 6.94113 | 0.265985 | ||||||||
\(682\) | 8.82843i | 0.338058i | ||||||||
\(683\) | − | 12.0000i | − | 0.459167i | −0.973289 | − | 0.229584i | \(-0.926264\pi\) | ||
0.973289 | − | 0.229584i | \(-0.0737364\pi\) | |||||||
\(684\) | −2.82843 | −0.108148 | ||||||||
\(685\) | −27.5772 | + | 9.19239i | −1.05367 | + | 0.351223i | ||||
\(686\) | −24.2132 | −0.924464 | ||||||||
\(687\) | − | 6.20101i | − | 0.236583i | ||||||
\(688\) | − | 1.75736i | − | 0.0669987i | ||||||
\(689\) | −31.9706 | −1.21798 | ||||||||
\(690\) | 0.665476 | − | 0.221825i | 0.0253342 | − | 0.00844475i | ||||
\(691\) | 22.4853 | 0.855380 | 0.427690 | − | 0.903925i | \(-0.359327\pi\) | ||||
0.427690 | + | 0.903925i | \(0.359327\pi\) | |||||||
\(692\) | 0.485281i | 0.0184476i | ||||||||
\(693\) | − | 17.6569i | − | 0.670728i | ||||||
\(694\) | −5.51472 | −0.209336 | ||||||||
\(695\) | 8.48528 | + | 25.4558i | 0.321865 | + | 0.965595i | ||||
\(696\) | −0.0710678 | −0.00269382 | ||||||||
\(697\) | − | 4.24264i | − | 0.160701i | ||||||
\(698\) | 6.00000i | 0.227103i | ||||||||
\(699\) | −10.3431 | −0.391214 | ||||||||
\(700\) | 13.2426 | + | 17.6569i | 0.500525 | + | 0.667366i | ||||
\(701\) | 16.9706 | 0.640969 | 0.320485 | − | 0.947254i | \(-0.396154\pi\) | ||||
0.320485 | + | 0.947254i | \(0.396154\pi\) | |||||||
\(702\) | − | 14.0711i | − | 0.531078i | ||||||
\(703\) | − | 8.48528i | − | 0.320028i | ||||||
\(704\) | 1.41421 | 0.0533002 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.51472 | 0.0946427 | ||||||||
\(707\) | 57.6985i | 2.16997i | ||||||||
\(708\) | 2.85786i | 0.107405i | ||||||||
\(709\) | 34.0000 | 1.27690 | 0.638448 | − | 0.769665i | \(-0.279577\pi\) | ||||
0.638448 | + | 0.769665i | \(0.279577\pi\) | |||||||
\(710\) | −28.4558 | + | 9.48528i | −1.06793 | + | 0.355976i | ||||
\(711\) | 18.3431 | 0.687922 | ||||||||
\(712\) | − | 7.07107i | − | 0.264999i | ||||||
\(713\) | − | 4.72792i | − | 0.177062i | ||||||
\(714\) | −1.82843 | −0.0684272 | ||||||||
\(715\) | −17.4853 | + | 5.82843i | −0.653912 | + | 0.217971i | ||||
\(716\) | −11.6569 | −0.435637 | ||||||||
\(717\) | 2.85786i | 0.106729i | ||||||||
\(718\) | − | 22.7574i | − | 0.849297i | ||||||
\(719\) | 5.10051 | 0.190217 | 0.0951084 | − | 0.995467i | \(-0.469680\pi\) | ||||
0.0951084 | + | 0.995467i | \(0.469680\pi\) | |||||||
\(720\) | 2.00000 | + | 6.00000i | 0.0745356 | + | 0.223607i | ||||
\(721\) | 18.7279 | 0.697464 | ||||||||
\(722\) | − | 1.00000i | − | 0.0372161i | ||||||
\(723\) | 3.71573i | 0.138189i | ||||||||
\(724\) | 8.48528 | 0.315353 | ||||||||
\(725\) | −0.686292 | + | 0.514719i | −0.0254882 | + | 0.0191162i | ||||
\(726\) | −3.72792 | −0.138356 | ||||||||
\(727\) | 9.72792i | 0.360789i | 0.983594 | + | 0.180394i | \(0.0577374\pi\) | ||||
−0.983594 | + | 0.180394i | \(0.942263\pi\) | |||||||
\(728\) | 25.7279i | 0.953540i | ||||||||
\(729\) | 18.1716 | 0.673021 | ||||||||
\(730\) | −8.12132 | − | 24.3640i | −0.300584 | − | 0.901751i | ||||
\(731\) | 1.75736 | 0.0649983 | ||||||||
\(732\) | − | 5.89949i | − | 0.218052i | ||||||
\(733\) | − | 12.0000i | − | 0.443230i | −0.975134 | − | 0.221615i | \(-0.928867\pi\) | ||
0.975134 | − | 0.221615i | \(-0.0711328\pi\) | |||||||
\(734\) | −25.4558 | −0.939592 | ||||||||
\(735\) | 10.9706 | − | 3.65685i | 0.404655 | − | 0.134885i | ||||
\(736\) | −0.757359 | −0.0279166 | ||||||||
\(737\) | − | 6.72792i | − | 0.247826i | ||||||
\(738\) | 12.0000i | 0.441726i | ||||||||
\(739\) | −1.27208 | −0.0467941 | −0.0233971 | − | 0.999726i | \(-0.507448\pi\) | ||||
−0.0233971 | + | 0.999726i | \(0.507448\pi\) | |||||||
\(740\) | −18.0000 | + | 6.00000i | −0.661693 | + | 0.220564i | ||||
\(741\) | 2.41421 | 0.0886884 | ||||||||
\(742\) | − | 24.2132i | − | 0.888895i | ||||||
\(743\) | − | 6.72792i | − | 0.246824i | −0.992356 | − | 0.123412i | \(-0.960616\pi\) | ||
0.992356 | − | 0.123412i | \(-0.0393836\pi\) | |||||||
\(744\) | −2.58579 | −0.0947995 | ||||||||
\(745\) | −12.4853 | − | 37.4558i | −0.457425 | − | 1.37228i | ||||
\(746\) | −9.00000 | −0.329513 | ||||||||
\(747\) | − | 40.9706i | − | 1.49903i | ||||||
\(748\) | 1.41421i | 0.0517088i | ||||||||
\(749\) | −87.0833 | −3.18195 | ||||||||
\(750\) | −3.80761 | − | 2.63604i | −0.139034 | − | 0.0962545i | ||||
\(751\) | −26.7279 | −0.975316 | −0.487658 | − | 0.873035i | \(-0.662149\pi\) | ||||
−0.487658 | + | 0.873035i | \(0.662149\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 1.47309i | 0.0536823i | ||||||||
\(754\) | −1.00000 | −0.0364179 | ||||||||
\(755\) | −7.41421 | − | 22.2426i | −0.269831 | − | 0.809493i | ||||
\(756\) | 10.6569 | 0.387586 | ||||||||
\(757\) | 12.3431i | 0.448619i | 0.974518 | + | 0.224310i | \(0.0720127\pi\) | ||||
−0.974518 | + | 0.224310i | \(0.927987\pi\) | |||||||
\(758\) | 11.2426i | 0.408351i | ||||||||
\(759\) | −0.443651 | −0.0161035 | ||||||||
\(760\) | −2.12132 | + | 0.707107i | −0.0769484 | + | 0.0256495i | ||||
\(761\) | 43.9706 | 1.59393 | 0.796966 | − | 0.604024i | \(-0.206437\pi\) | ||||
0.796966 | + | 0.604024i | \(0.206437\pi\) | |||||||
\(762\) | − | 1.02944i | − | 0.0372926i | ||||||
\(763\) | 79.3259i | 2.87179i | ||||||||
\(764\) | −12.5563 | −0.454273 | ||||||||
\(765\) | −6.00000 | + | 2.00000i | −0.216930 | + | 0.0723102i | ||||
\(766\) | −12.2426 | −0.442345 | ||||||||
\(767\) | 40.2132i | 1.45201i | ||||||||
\(768\) | 0.414214i | 0.0149466i | ||||||||
\(769\) | 36.4558 | 1.31463 | 0.657316 | − | 0.753615i | \(-0.271692\pi\) | ||||
0.657316 | + | 0.753615i | \(0.271692\pi\) | |||||||
\(770\) | −4.41421 | − | 13.2426i | −0.159077 | − | 0.477232i | ||||
\(771\) | −8.58579 | −0.309210 | ||||||||
\(772\) | − | 0.343146i | − | 0.0123501i | ||||||
\(773\) | − | 13.9706i | − | 0.502486i | −0.967924 | − | 0.251243i | \(-0.919161\pi\) | ||
0.967924 | − | 0.251243i | \(-0.0808394\pi\) | |||||||
\(774\) | −4.97056 | −0.178663 | ||||||||
\(775\) | −24.9706 | + | 18.7279i | −0.896969 | + | 0.672727i | ||||
\(776\) | 0.343146 | 0.0123182 | ||||||||
\(777\) | 15.5147i | 0.556587i | ||||||||
\(778\) | 22.9289i | 0.822042i | ||||||||
\(779\) | −4.24264 | −0.152008 | ||||||||
\(780\) | −1.70711 | − | 5.12132i | −0.0611242 | − | 0.183373i | ||||
\(781\) | 18.9706 | 0.678820 | ||||||||
\(782\) | − | 0.757359i |