Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(1,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.1");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.a (trivial) |
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: | yes |
Analytic conductor: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(3\) |
Coefficient field: | \(\Q(\zeta_{18})^+\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{3} - 3x - 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Fricke sign: | \(-1\) |
Sato-Tate group: | $\mathrm{SU}(2)$ |
Embedding invariants
Embedding label | 1.1 | ||
Root | \(1.87939\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | −1.87939 | −1.08506 | −0.542532 | − | 0.840035i | \(-0.682534\pi\) | ||||
−0.542532 | + | 0.840035i | \(0.682534\pi\) | |||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 2.00000 | 0.894427 | 0.447214 | − | 0.894427i | \(-0.352416\pi\) | ||||
0.447214 | + | 0.894427i | \(0.352416\pi\) | |||||||
\(6\) | −1.87939 | −0.767256 | ||||||||
\(7\) | 5.06418 | 1.91408 | 0.957040 | − | 0.289957i | \(-0.0936410\pi\) | ||||
0.957040 | + | 0.289957i | \(0.0936410\pi\) | |||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0.532089 | 0.177363 | ||||||||
\(10\) | 2.00000 | 0.632456 | ||||||||
\(11\) | −1.41147 | −0.425575 | −0.212788 | − | 0.977098i | \(-0.568254\pi\) | ||||
−0.212788 | + | 0.977098i | \(0.568254\pi\) | |||||||
\(12\) | −1.87939 | −0.542532 | ||||||||
\(13\) | −1.30541 | −0.362055 | −0.181027 | − | 0.983478i | \(-0.557942\pi\) | ||||
−0.181027 | + | 0.983478i | \(0.557942\pi\) | |||||||
\(14\) | 5.06418 | 1.35346 | ||||||||
\(15\) | −3.75877 | −0.970510 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 2.38919 | 0.579463 | 0.289731 | − | 0.957108i | \(-0.406434\pi\) | ||||
0.289731 | + | 0.957108i | \(0.406434\pi\) | |||||||
\(18\) | 0.532089 | 0.125415 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 2.00000 | 0.447214 | ||||||||
\(21\) | −9.51754 | −2.07690 | ||||||||
\(22\) | −1.41147 | −0.300927 | ||||||||
\(23\) | −3.06418 | −0.638925 | −0.319463 | − | 0.947599i | \(-0.603502\pi\) | ||||
−0.319463 | + | 0.947599i | \(0.603502\pi\) | |||||||
\(24\) | −1.87939 | −0.383628 | ||||||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | −1.30541 | −0.256011 | ||||||||
\(27\) | 4.63816 | 0.892613 | ||||||||
\(28\) | 5.06418 | 0.957040 | ||||||||
\(29\) | 8.45336 | 1.56975 | 0.784875 | − | 0.619654i | \(-0.212727\pi\) | ||||
0.784875 | + | 0.619654i | \(0.212727\pi\) | |||||||
\(30\) | −3.75877 | −0.686254 | ||||||||
\(31\) | 0.369585 | 0.0663794 | 0.0331897 | − | 0.999449i | \(-0.489433\pi\) | ||||
0.0331897 | + | 0.999449i | \(0.489433\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 2.65270 | 0.461776 | ||||||||
\(34\) | 2.38919 | 0.409742 | ||||||||
\(35\) | 10.1284 | 1.71200 | ||||||||
\(36\) | 0.532089 | 0.0886815 | ||||||||
\(37\) | 4.82295 | 0.792888 | 0.396444 | − | 0.918059i | \(-0.370244\pi\) | ||||
0.396444 | + | 0.918059i | \(0.370244\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 2.45336 | 0.392853 | ||||||||
\(40\) | 2.00000 | 0.316228 | ||||||||
\(41\) | −1.53209 | −0.239272 | −0.119636 | − | 0.992818i | \(-0.538173\pi\) | ||||
−0.119636 | + | 0.992818i | \(0.538173\pi\) | |||||||
\(42\) | −9.51754 | −1.46859 | ||||||||
\(43\) | −0.758770 | −0.115711 | −0.0578557 | − | 0.998325i | \(-0.518426\pi\) | ||||
−0.0578557 | + | 0.998325i | \(0.518426\pi\) | |||||||
\(44\) | −1.41147 | −0.212788 | ||||||||
\(45\) | 1.06418 | 0.158638 | ||||||||
\(46\) | −3.06418 | −0.451788 | ||||||||
\(47\) | −10.2121 | −1.48959 | −0.744796 | − | 0.667292i | \(-0.767453\pi\) | ||||
−0.744796 | + | 0.667292i | \(0.767453\pi\) | |||||||
\(48\) | −1.87939 | −0.271266 | ||||||||
\(49\) | 18.6459 | 2.66370 | ||||||||
\(50\) | −1.00000 | −0.141421 | ||||||||
\(51\) | −4.49020 | −0.628754 | ||||||||
\(52\) | −1.30541 | −0.181027 | ||||||||
\(53\) | 1.67499 | 0.230078 | 0.115039 | − | 0.993361i | \(-0.463301\pi\) | ||||
0.115039 | + | 0.993361i | \(0.463301\pi\) | |||||||
\(54\) | 4.63816 | 0.631173 | ||||||||
\(55\) | −2.82295 | −0.380646 | ||||||||
\(56\) | 5.06418 | 0.676729 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 8.45336 | 1.10998 | ||||||||
\(59\) | 0.716881 | 0.0933300 | 0.0466650 | − | 0.998911i | \(-0.485141\pi\) | ||||
0.0466650 | + | 0.998911i | \(0.485141\pi\) | |||||||
\(60\) | −3.75877 | −0.485255 | ||||||||
\(61\) | 9.75877 | 1.24948 | 0.624741 | − | 0.780832i | \(-0.285204\pi\) | ||||
0.624741 | + | 0.780832i | \(0.285204\pi\) | |||||||
\(62\) | 0.369585 | 0.0469373 | ||||||||
\(63\) | 2.69459 | 0.339487 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −2.61081 | −0.323832 | ||||||||
\(66\) | 2.65270 | 0.326525 | ||||||||
\(67\) | −1.40373 | −0.171493 | −0.0857467 | − | 0.996317i | \(-0.527328\pi\) | ||||
−0.0857467 | + | 0.996317i | \(0.527328\pi\) | |||||||
\(68\) | 2.38919 | 0.289731 | ||||||||
\(69\) | 5.75877 | 0.693274 | ||||||||
\(70\) | 10.1284 | 1.21057 | ||||||||
\(71\) | −6.36959 | −0.755931 | −0.377965 | − | 0.925820i | \(-0.623376\pi\) | ||||
−0.377965 | + | 0.925820i | \(0.623376\pi\) | |||||||
\(72\) | 0.532089 | 0.0627073 | ||||||||
\(73\) | −4.55943 | −0.533641 | −0.266820 | − | 0.963746i | \(-0.585973\pi\) | ||||
−0.266820 | + | 0.963746i | \(0.585973\pi\) | |||||||
\(74\) | 4.82295 | 0.560656 | ||||||||
\(75\) | 1.87939 | 0.217013 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −7.14796 | −0.814585 | ||||||||
\(78\) | 2.45336 | 0.277789 | ||||||||
\(79\) | −2.24123 | −0.252158 | −0.126079 | − | 0.992020i | \(-0.540239\pi\) | ||||
−0.126079 | + | 0.992020i | \(0.540239\pi\) | |||||||
\(80\) | 2.00000 | 0.223607 | ||||||||
\(81\) | −10.3131 | −1.14591 | ||||||||
\(82\) | −1.53209 | −0.169191 | ||||||||
\(83\) | −3.98545 | −0.437460 | −0.218730 | − | 0.975785i | \(-0.570191\pi\) | ||||
−0.218730 | + | 0.975785i | \(0.570191\pi\) | |||||||
\(84\) | −9.51754 | −1.03845 | ||||||||
\(85\) | 4.77837 | 0.518287 | ||||||||
\(86\) | −0.758770 | −0.0818203 | ||||||||
\(87\) | −15.8871 | −1.70328 | ||||||||
\(88\) | −1.41147 | −0.150464 | ||||||||
\(89\) | −10.6459 | −1.12846 | −0.564231 | − | 0.825617i | \(-0.690827\pi\) | ||||
−0.564231 | + | 0.825617i | \(0.690827\pi\) | |||||||
\(90\) | 1.06418 | 0.112174 | ||||||||
\(91\) | −6.61081 | −0.693002 | ||||||||
\(92\) | −3.06418 | −0.319463 | ||||||||
\(93\) | −0.694593 | −0.0720259 | ||||||||
\(94\) | −10.2121 | −1.05330 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.87939 | −0.191814 | ||||||||
\(97\) | −1.53209 | −0.155560 | −0.0777800 | − | 0.996971i | \(-0.524783\pi\) | ||||
−0.0777800 | + | 0.996971i | \(0.524783\pi\) | |||||||
\(98\) | 18.6459 | 1.88352 | ||||||||
\(99\) | −0.751030 | −0.0754813 | ||||||||
\(100\) | −1.00000 | −0.100000 | ||||||||
\(101\) | 8.82295 | 0.877916 | 0.438958 | − | 0.898508i | \(-0.355348\pi\) | ||||
0.438958 | + | 0.898508i | \(0.355348\pi\) | |||||||
\(102\) | −4.49020 | −0.444596 | ||||||||
\(103\) | −7.14796 | −0.704309 | −0.352155 | − | 0.935942i | \(-0.614551\pi\) | ||||
−0.352155 | + | 0.935942i | \(0.614551\pi\) | |||||||
\(104\) | −1.30541 | −0.128006 | ||||||||
\(105\) | −19.0351 | −1.85763 | ||||||||
\(106\) | 1.67499 | 0.162690 | ||||||||
\(107\) | −9.36959 | −0.905792 | −0.452896 | − | 0.891563i | \(-0.649609\pi\) | ||||
−0.452896 | + | 0.891563i | \(0.649609\pi\) | |||||||
\(108\) | 4.63816 | 0.446307 | ||||||||
\(109\) | 11.0642 | 1.05976 | 0.529878 | − | 0.848074i | \(-0.322238\pi\) | ||||
0.529878 | + | 0.848074i | \(0.322238\pi\) | |||||||
\(110\) | −2.82295 | −0.269158 | ||||||||
\(111\) | −9.06418 | −0.860334 | ||||||||
\(112\) | 5.06418 | 0.478520 | ||||||||
\(113\) | −13.2986 | −1.25103 | −0.625514 | − | 0.780213i | \(-0.715110\pi\) | ||||
−0.625514 | + | 0.780213i | \(0.715110\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −6.12836 | −0.571472 | ||||||||
\(116\) | 8.45336 | 0.784875 | ||||||||
\(117\) | −0.694593 | −0.0642151 | ||||||||
\(118\) | 0.716881 | 0.0659943 | ||||||||
\(119\) | 12.0993 | 1.10914 | ||||||||
\(120\) | −3.75877 | −0.343127 | ||||||||
\(121\) | −9.00774 | −0.818886 | ||||||||
\(122\) | 9.75877 | 0.883518 | ||||||||
\(123\) | 2.87939 | 0.259625 | ||||||||
\(124\) | 0.369585 | 0.0331897 | ||||||||
\(125\) | −12.0000 | −1.07331 | ||||||||
\(126\) | 2.69459 | 0.240053 | ||||||||
\(127\) | −5.71419 | −0.507053 | −0.253526 | − | 0.967328i | \(-0.581590\pi\) | ||||
−0.253526 | + | 0.967328i | \(0.581590\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 1.42602 | 0.125554 | ||||||||
\(130\) | −2.61081 | −0.228984 | ||||||||
\(131\) | −9.87939 | −0.863166 | −0.431583 | − | 0.902073i | \(-0.642045\pi\) | ||||
−0.431583 | + | 0.902073i | \(0.642045\pi\) | |||||||
\(132\) | 2.65270 | 0.230888 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −1.40373 | −0.121264 | ||||||||
\(135\) | 9.27631 | 0.798378 | ||||||||
\(136\) | 2.38919 | 0.204871 | ||||||||
\(137\) | 5.39693 | 0.461091 | 0.230545 | − | 0.973062i | \(-0.425949\pi\) | ||||
0.230545 | + | 0.973062i | \(0.425949\pi\) | |||||||
\(138\) | 5.75877 | 0.490219 | ||||||||
\(139\) | −2.33956 | −0.198439 | −0.0992193 | − | 0.995066i | \(-0.531635\pi\) | ||||
−0.0992193 | + | 0.995066i | \(0.531635\pi\) | |||||||
\(140\) | 10.1284 | 0.856002 | ||||||||
\(141\) | 19.1925 | 1.61630 | ||||||||
\(142\) | −6.36959 | −0.534524 | ||||||||
\(143\) | 1.84255 | 0.154082 | ||||||||
\(144\) | 0.532089 | 0.0443407 | ||||||||
\(145\) | 16.9067 | 1.40403 | ||||||||
\(146\) | −4.55943 | −0.377341 | ||||||||
\(147\) | −35.0428 | −2.89028 | ||||||||
\(148\) | 4.82295 | 0.396444 | ||||||||
\(149\) | −14.3696 | −1.17720 | −0.588601 | − | 0.808424i | \(-0.700321\pi\) | ||||
−0.588601 | + | 0.808424i | \(0.700321\pi\) | |||||||
\(150\) | 1.87939 | 0.153451 | ||||||||
\(151\) | −20.8384 | −1.69581 | −0.847904 | − | 0.530150i | \(-0.822135\pi\) | ||||
−0.847904 | + | 0.530150i | \(0.822135\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 1.27126 | 0.102775 | ||||||||
\(154\) | −7.14796 | −0.575999 | ||||||||
\(155\) | 0.739170 | 0.0593716 | ||||||||
\(156\) | 2.45336 | 0.196426 | ||||||||
\(157\) | 6.36959 | 0.508348 | 0.254174 | − | 0.967158i | \(-0.418196\pi\) | ||||
0.254174 | + | 0.967158i | \(0.418196\pi\) | |||||||
\(158\) | −2.24123 | −0.178303 | ||||||||
\(159\) | −3.14796 | −0.249649 | ||||||||
\(160\) | 2.00000 | 0.158114 | ||||||||
\(161\) | −15.5175 | −1.22295 | ||||||||
\(162\) | −10.3131 | −0.810277 | ||||||||
\(163\) | 4.73143 | 0.370594 | 0.185297 | − | 0.982683i | \(-0.440675\pi\) | ||||
0.185297 | + | 0.982683i | \(0.440675\pi\) | |||||||
\(164\) | −1.53209 | −0.119636 | ||||||||
\(165\) | 5.30541 | 0.413025 | ||||||||
\(166\) | −3.98545 | −0.309331 | ||||||||
\(167\) | 17.2763 | 1.33688 | 0.668441 | − | 0.743766i | \(-0.266962\pi\) | ||||
0.668441 | + | 0.743766i | \(0.266962\pi\) | |||||||
\(168\) | −9.51754 | −0.734294 | ||||||||
\(169\) | −11.2959 | −0.868916 | ||||||||
\(170\) | 4.77837 | 0.366484 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.758770 | −0.0578557 | ||||||||
\(173\) | 18.8229 | 1.43108 | 0.715541 | − | 0.698571i | \(-0.246180\pi\) | ||||
0.715541 | + | 0.698571i | \(0.246180\pi\) | |||||||
\(174\) | −15.8871 | −1.20440 | ||||||||
\(175\) | −5.06418 | −0.382816 | ||||||||
\(176\) | −1.41147 | −0.106394 | ||||||||
\(177\) | −1.34730 | −0.101269 | ||||||||
\(178\) | −10.6459 | −0.797944 | ||||||||
\(179\) | −13.8280 | −1.03355 | −0.516777 | − | 0.856120i | \(-0.672868\pi\) | ||||
−0.516777 | + | 0.856120i | \(0.672868\pi\) | |||||||
\(180\) | 1.06418 | 0.0793191 | ||||||||
\(181\) | 12.2567 | 0.911034 | 0.455517 | − | 0.890227i | \(-0.349454\pi\) | ||||
0.455517 | + | 0.890227i | \(0.349454\pi\) | |||||||
\(182\) | −6.61081 | −0.490026 | ||||||||
\(183\) | −18.3405 | −1.35577 | ||||||||
\(184\) | −3.06418 | −0.225894 | ||||||||
\(185\) | 9.64590 | 0.709180 | ||||||||
\(186\) | −0.694593 | −0.0509300 | ||||||||
\(187\) | −3.37227 | −0.246605 | ||||||||
\(188\) | −10.2121 | −0.744796 | ||||||||
\(189\) | 23.4884 | 1.70853 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −20.0993 | −1.45433 | −0.727166 | − | 0.686462i | \(-0.759163\pi\) | ||||
−0.727166 | + | 0.686462i | \(0.759163\pi\) | |||||||
\(192\) | −1.87939 | −0.135633 | ||||||||
\(193\) | 16.6851 | 1.20102 | 0.600510 | − | 0.799617i | \(-0.294964\pi\) | ||||
0.600510 | + | 0.799617i | \(0.294964\pi\) | |||||||
\(194\) | −1.53209 | −0.109998 | ||||||||
\(195\) | 4.90673 | 0.351378 | ||||||||
\(196\) | 18.6459 | 1.33185 | ||||||||
\(197\) | 12.9905 | 0.925535 | 0.462768 | − | 0.886480i | \(-0.346856\pi\) | ||||
0.462768 | + | 0.886480i | \(0.346856\pi\) | |||||||
\(198\) | −0.751030 | −0.0533734 | ||||||||
\(199\) | 17.1925 | 1.21875 | 0.609373 | − | 0.792884i | \(-0.291421\pi\) | ||||
0.609373 | + | 0.792884i | \(0.291421\pi\) | |||||||
\(200\) | −1.00000 | −0.0707107 | ||||||||
\(201\) | 2.63816 | 0.186081 | ||||||||
\(202\) | 8.82295 | 0.620780 | ||||||||
\(203\) | 42.8093 | 3.00463 | ||||||||
\(204\) | −4.49020 | −0.314377 | ||||||||
\(205\) | −3.06418 | −0.214011 | ||||||||
\(206\) | −7.14796 | −0.498022 | ||||||||
\(207\) | −1.63041 | −0.113322 | ||||||||
\(208\) | −1.30541 | −0.0905137 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −19.0351 | −1.31355 | ||||||||
\(211\) | −16.1088 | −1.10897 | −0.554486 | − | 0.832193i | \(-0.687085\pi\) | ||||
−0.554486 | + | 0.832193i | \(0.687085\pi\) | |||||||
\(212\) | 1.67499 | 0.115039 | ||||||||
\(213\) | 11.9709 | 0.820233 | ||||||||
\(214\) | −9.36959 | −0.640492 | ||||||||
\(215\) | −1.51754 | −0.103495 | ||||||||
\(216\) | 4.63816 | 0.315587 | ||||||||
\(217\) | 1.87164 | 0.127056 | ||||||||
\(218\) | 11.0642 | 0.749361 | ||||||||
\(219\) | 8.56893 | 0.579034 | ||||||||
\(220\) | −2.82295 | −0.190323 | ||||||||
\(221\) | −3.11886 | −0.209797 | ||||||||
\(222\) | −9.06418 | −0.608348 | ||||||||
\(223\) | 4.08378 | 0.273470 | 0.136735 | − | 0.990608i | \(-0.456339\pi\) | ||||
0.136735 | + | 0.990608i | \(0.456339\pi\) | |||||||
\(224\) | 5.06418 | 0.338365 | ||||||||
\(225\) | −0.532089 | −0.0354726 | ||||||||
\(226\) | −13.2986 | −0.884610 | ||||||||
\(227\) | 13.6604 | 0.906676 | 0.453338 | − | 0.891339i | \(-0.350233\pi\) | ||||
0.453338 | + | 0.891339i | \(0.350233\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −5.22163 | −0.345055 | −0.172527 | − | 0.985005i | \(-0.555193\pi\) | ||||
−0.172527 | + | 0.985005i | \(0.555193\pi\) | |||||||
\(230\) | −6.12836 | −0.404092 | ||||||||
\(231\) | 13.4338 | 0.883877 | ||||||||
\(232\) | 8.45336 | 0.554990 | ||||||||
\(233\) | −27.0428 | −1.77163 | −0.885817 | − | 0.464035i | \(-0.846401\pi\) | ||||
−0.885817 | + | 0.464035i | \(0.846401\pi\) | |||||||
\(234\) | −0.694593 | −0.0454069 | ||||||||
\(235\) | −20.4243 | −1.33233 | ||||||||
\(236\) | 0.716881 | 0.0466650 | ||||||||
\(237\) | 4.21213 | 0.273607 | ||||||||
\(238\) | 12.0993 | 0.784279 | ||||||||
\(239\) | −0.285807 | −0.0184873 | −0.00924366 | − | 0.999957i | \(-0.502942\pi\) | ||||
−0.00924366 | + | 0.999957i | \(0.502942\pi\) | |||||||
\(240\) | −3.75877 | −0.242628 | ||||||||
\(241\) | 3.10101 | 0.199754 | 0.0998769 | − | 0.995000i | \(-0.468155\pi\) | ||||
0.0998769 | + | 0.995000i | \(0.468155\pi\) | |||||||
\(242\) | −9.00774 | −0.579040 | ||||||||
\(243\) | 5.46791 | 0.350767 | ||||||||
\(244\) | 9.75877 | 0.624741 | ||||||||
\(245\) | 37.2918 | 2.38249 | ||||||||
\(246\) | 2.87939 | 0.183583 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 0.369585 | 0.0234687 | ||||||||
\(249\) | 7.49020 | 0.474672 | ||||||||
\(250\) | −12.0000 | −0.758947 | ||||||||
\(251\) | −12.6578 | −0.798950 | −0.399475 | − | 0.916744i | \(-0.630808\pi\) | ||||
−0.399475 | + | 0.916744i | \(0.630808\pi\) | |||||||
\(252\) | 2.69459 | 0.169743 | ||||||||
\(253\) | 4.32501 | 0.271911 | ||||||||
\(254\) | −5.71419 | −0.358540 | ||||||||
\(255\) | −8.98040 | −0.562374 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −30.3928 | −1.89585 | −0.947926 | − | 0.318492i | \(-0.896824\pi\) | ||||
−0.947926 | + | 0.318492i | \(0.896824\pi\) | |||||||
\(258\) | 1.42602 | 0.0887803 | ||||||||
\(259\) | 24.4243 | 1.51765 | ||||||||
\(260\) | −2.61081 | −0.161916 | ||||||||
\(261\) | 4.49794 | 0.278416 | ||||||||
\(262\) | −9.87939 | −0.610350 | ||||||||
\(263\) | 21.9026 | 1.35057 | 0.675286 | − | 0.737556i | \(-0.264020\pi\) | ||||
0.675286 | + | 0.737556i | \(0.264020\pi\) | |||||||
\(264\) | 2.65270 | 0.163263 | ||||||||
\(265\) | 3.34998 | 0.205788 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 20.0077 | 1.22445 | ||||||||
\(268\) | −1.40373 | −0.0857467 | ||||||||
\(269\) | −1.43376 | −0.0874181 | −0.0437090 | − | 0.999044i | \(-0.513917\pi\) | ||||
−0.0437090 | + | 0.999044i | \(0.513917\pi\) | |||||||
\(270\) | 9.27631 | 0.564538 | ||||||||
\(271\) | 16.1729 | 0.982436 | 0.491218 | − | 0.871037i | \(-0.336552\pi\) | ||||
0.491218 | + | 0.871037i | \(0.336552\pi\) | |||||||
\(272\) | 2.38919 | 0.144866 | ||||||||
\(273\) | 12.4243 | 0.751951 | ||||||||
\(274\) | 5.39693 | 0.326040 | ||||||||
\(275\) | 1.41147 | 0.0851151 | ||||||||
\(276\) | 5.75877 | 0.346637 | ||||||||
\(277\) | 11.1088 | 0.667460 | 0.333730 | − | 0.942669i | \(-0.391693\pi\) | ||||
0.333730 | + | 0.942669i | \(0.391693\pi\) | |||||||
\(278\) | −2.33956 | −0.140317 | ||||||||
\(279\) | 0.196652 | 0.0117733 | ||||||||
\(280\) | 10.1284 | 0.605285 | ||||||||
\(281\) | 4.24897 | 0.253472 | 0.126736 | − | 0.991936i | \(-0.459550\pi\) | ||||
0.126736 | + | 0.991936i | \(0.459550\pi\) | |||||||
\(282\) | 19.1925 | 1.14290 | ||||||||
\(283\) | −5.45605 | −0.324329 | −0.162164 | − | 0.986764i | \(-0.551847\pi\) | ||||
−0.162164 | + | 0.986764i | \(0.551847\pi\) | |||||||
\(284\) | −6.36959 | −0.377965 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 1.84255 | 0.108952 | ||||||||
\(287\) | −7.75877 | −0.457986 | ||||||||
\(288\) | 0.532089 | 0.0313536 | ||||||||
\(289\) | −11.2918 | −0.664223 | ||||||||
\(290\) | 16.9067 | 0.992797 | ||||||||
\(291\) | 2.87939 | 0.168793 | ||||||||
\(292\) | −4.55943 | −0.266820 | ||||||||
\(293\) | 17.8135 | 1.04067 | 0.520337 | − | 0.853961i | \(-0.325807\pi\) | ||||
0.520337 | + | 0.853961i | \(0.325807\pi\) | |||||||
\(294\) | −35.0428 | −2.04374 | ||||||||
\(295\) | 1.43376 | 0.0834769 | ||||||||
\(296\) | 4.82295 | 0.280328 | ||||||||
\(297\) | −6.54664 | −0.379874 | ||||||||
\(298\) | −14.3696 | −0.832408 | ||||||||
\(299\) | 4.00000 | 0.231326 | ||||||||
\(300\) | 1.87939 | 0.108506 | ||||||||
\(301\) | −3.84255 | −0.221481 | ||||||||
\(302\) | −20.8384 | −1.19912 | ||||||||
\(303\) | −16.5817 | −0.952595 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 19.5175 | 1.11757 | ||||||||
\(306\) | 1.27126 | 0.0726730 | ||||||||
\(307\) | −28.6587 | −1.63564 | −0.817819 | − | 0.575476i | \(-0.804817\pi\) | ||||
−0.817819 | + | 0.575476i | \(0.804817\pi\) | |||||||
\(308\) | −7.14796 | −0.407293 | ||||||||
\(309\) | 13.4338 | 0.764220 | ||||||||
\(310\) | 0.739170 | 0.0419820 | ||||||||
\(311\) | 15.8135 | 0.896699 | 0.448349 | − | 0.893858i | \(-0.352012\pi\) | ||||
0.448349 | + | 0.893858i | \(0.352012\pi\) | |||||||
\(312\) | 2.45336 | 0.138894 | ||||||||
\(313\) | 13.1402 | 0.742729 | 0.371364 | − | 0.928487i | \(-0.378890\pi\) | ||||
0.371364 | + | 0.928487i | \(0.378890\pi\) | |||||||
\(314\) | 6.36959 | 0.359456 | ||||||||
\(315\) | 5.38919 | 0.303646 | ||||||||
\(316\) | −2.24123 | −0.126079 | ||||||||
\(317\) | −21.4047 | −1.20221 | −0.601103 | − | 0.799172i | \(-0.705272\pi\) | ||||
−0.601103 | + | 0.799172i | \(0.705272\pi\) | |||||||
\(318\) | −3.14796 | −0.176529 | ||||||||
\(319\) | −11.9317 | −0.668047 | ||||||||
\(320\) | 2.00000 | 0.111803 | ||||||||
\(321\) | 17.6091 | 0.982842 | ||||||||
\(322\) | −15.5175 | −0.864759 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −10.3131 | −0.572953 | ||||||||
\(325\) | 1.30541 | 0.0724110 | ||||||||
\(326\) | 4.73143 | 0.262050 | ||||||||
\(327\) | −20.7939 | −1.14990 | ||||||||
\(328\) | −1.53209 | −0.0845955 | ||||||||
\(329\) | −51.7161 | −2.85120 | ||||||||
\(330\) | 5.30541 | 0.292053 | ||||||||
\(331\) | −25.3979 | −1.39599 | −0.697996 | − | 0.716101i | \(-0.745925\pi\) | ||||
−0.697996 | + | 0.716101i | \(0.745925\pi\) | |||||||
\(332\) | −3.98545 | −0.218730 | ||||||||
\(333\) | 2.56624 | 0.140629 | ||||||||
\(334\) | 17.2763 | 0.945318 | ||||||||
\(335\) | −2.80747 | −0.153388 | ||||||||
\(336\) | −9.51754 | −0.519224 | ||||||||
\(337\) | 26.3773 | 1.43686 | 0.718432 | − | 0.695597i | \(-0.244860\pi\) | ||||
0.718432 | + | 0.695597i | \(0.244860\pi\) | |||||||
\(338\) | −11.2959 | −0.614417 | ||||||||
\(339\) | 24.9932 | 1.35744 | ||||||||
\(340\) | 4.77837 | 0.259144 | ||||||||
\(341\) | −0.521660 | −0.0282495 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 58.9769 | 3.18445 | ||||||||
\(344\) | −0.758770 | −0.0409102 | ||||||||
\(345\) | 11.5175 | 0.620084 | ||||||||
\(346\) | 18.8229 | 1.01193 | ||||||||
\(347\) | −25.6313 | −1.37596 | −0.687981 | − | 0.725728i | \(-0.741503\pi\) | ||||
−0.687981 | + | 0.725728i | \(0.741503\pi\) | |||||||
\(348\) | −15.8871 | −0.851639 | ||||||||
\(349\) | −5.84255 | −0.312744 | −0.156372 | − | 0.987698i | \(-0.549980\pi\) | ||||
−0.156372 | + | 0.987698i | \(0.549980\pi\) | |||||||
\(350\) | −5.06418 | −0.270692 | ||||||||
\(351\) | −6.05468 | −0.323175 | ||||||||
\(352\) | −1.41147 | −0.0752318 | ||||||||
\(353\) | −22.4097 | −1.19275 | −0.596375 | − | 0.802706i | \(-0.703393\pi\) | ||||
−0.596375 | + | 0.802706i | \(0.703393\pi\) | |||||||
\(354\) | −1.34730 | −0.0716080 | ||||||||
\(355\) | −12.7392 | −0.676125 | ||||||||
\(356\) | −10.6459 | −0.564231 | ||||||||
\(357\) | −22.7392 | −1.20348 | ||||||||
\(358\) | −13.8280 | −0.730833 | ||||||||
\(359\) | 9.61680 | 0.507555 | 0.253778 | − | 0.967263i | \(-0.418327\pi\) | ||||
0.253778 | + | 0.967263i | \(0.418327\pi\) | |||||||
\(360\) | 1.06418 | 0.0560871 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 12.2567 | 0.644198 | ||||||||
\(363\) | 16.9290 | 0.888543 | ||||||||
\(364\) | −6.61081 | −0.346501 | ||||||||
\(365\) | −9.11886 | −0.477303 | ||||||||
\(366\) | −18.3405 | −0.958673 | ||||||||
\(367\) | 23.3601 | 1.21939 | 0.609693 | − | 0.792637i | \(-0.291293\pi\) | ||||
0.609693 | + | 0.792637i | \(0.291293\pi\) | |||||||
\(368\) | −3.06418 | −0.159731 | ||||||||
\(369\) | −0.815207 | −0.0424380 | ||||||||
\(370\) | 9.64590 | 0.501466 | ||||||||
\(371\) | 8.48246 | 0.440387 | ||||||||
\(372\) | −0.694593 | −0.0360130 | ||||||||
\(373\) | −25.9418 | −1.34322 | −0.671608 | − | 0.740907i | \(-0.734396\pi\) | ||||
−0.671608 | + | 0.740907i | \(0.734396\pi\) | |||||||
\(374\) | −3.37227 | −0.174376 | ||||||||
\(375\) | 22.5526 | 1.16461 | ||||||||
\(376\) | −10.2121 | −0.526651 | ||||||||
\(377\) | −11.0351 | −0.568336 | ||||||||
\(378\) | 23.4884 | 1.20812 | ||||||||
\(379\) | 9.47834 | 0.486870 | 0.243435 | − | 0.969917i | \(-0.421726\pi\) | ||||
0.243435 | + | 0.969917i | \(0.421726\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 10.7392 | 0.550184 | ||||||||
\(382\) | −20.0993 | −1.02837 | ||||||||
\(383\) | −13.4884 | −0.689227 | −0.344614 | − | 0.938745i | \(-0.611990\pi\) | ||||
−0.344614 | + | 0.938745i | \(0.611990\pi\) | |||||||
\(384\) | −1.87939 | −0.0959070 | ||||||||
\(385\) | −14.2959 | −0.728587 | ||||||||
\(386\) | 16.6851 | 0.849249 | ||||||||
\(387\) | −0.403733 | −0.0205229 | ||||||||
\(388\) | −1.53209 | −0.0777800 | ||||||||
\(389\) | −25.1480 | −1.27505 | −0.637526 | − | 0.770429i | \(-0.720042\pi\) | ||||
−0.637526 | + | 0.770429i | \(0.720042\pi\) | |||||||
\(390\) | 4.90673 | 0.248462 | ||||||||
\(391\) | −7.32089 | −0.370233 | ||||||||
\(392\) | 18.6459 | 0.941760 | ||||||||
\(393\) | 18.5672 | 0.936590 | ||||||||
\(394\) | 12.9905 | 0.654452 | ||||||||
\(395\) | −4.48246 | −0.225537 | ||||||||
\(396\) | −0.751030 | −0.0377407 | ||||||||
\(397\) | 6.56624 | 0.329550 | 0.164775 | − | 0.986331i | \(-0.447310\pi\) | ||||
0.164775 | + | 0.986331i | \(0.447310\pi\) | |||||||
\(398\) | 17.1925 | 0.861784 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | −29.5107 | −1.47370 | −0.736848 | − | 0.676059i | \(-0.763687\pi\) | ||||
−0.736848 | + | 0.676059i | \(0.763687\pi\) | |||||||
\(402\) | 2.63816 | 0.131579 | ||||||||
\(403\) | −0.482459 | −0.0240330 | ||||||||
\(404\) | 8.82295 | 0.438958 | ||||||||
\(405\) | −20.6263 | −1.02493 | ||||||||
\(406\) | 42.8093 | 2.12459 | ||||||||
\(407\) | −6.80747 | −0.337434 | ||||||||
\(408\) | −4.49020 | −0.222298 | ||||||||
\(409\) | 21.1310 | 1.04486 | 0.522431 | − | 0.852681i | \(-0.325025\pi\) | ||||
0.522431 | + | 0.852681i | \(0.325025\pi\) | |||||||
\(410\) | −3.06418 | −0.151329 | ||||||||
\(411\) | −10.1429 | −0.500313 | ||||||||
\(412\) | −7.14796 | −0.352155 | ||||||||
\(413\) | 3.63041 | 0.178641 | ||||||||
\(414\) | −1.63041 | −0.0801305 | ||||||||
\(415\) | −7.97090 | −0.391276 | ||||||||
\(416\) | −1.30541 | −0.0640029 | ||||||||
\(417\) | 4.39693 | 0.215318 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −27.8830 | −1.36217 | −0.681087 | − | 0.732202i | \(-0.738492\pi\) | ||||
−0.681087 | + | 0.732202i | \(0.738492\pi\) | |||||||
\(420\) | −19.0351 | −0.928817 | ||||||||
\(421\) | −0.0445774 | −0.00217257 | −0.00108629 | − | 0.999999i | \(-0.500346\pi\) | ||||
−0.00108629 | + | 0.999999i | \(0.500346\pi\) | |||||||
\(422\) | −16.1088 | −0.784162 | ||||||||
\(423\) | −5.43376 | −0.264199 | ||||||||
\(424\) | 1.67499 | 0.0813448 | ||||||||
\(425\) | −2.38919 | −0.115893 | ||||||||
\(426\) | 11.9709 | 0.579992 | ||||||||
\(427\) | 49.4201 | 2.39161 | ||||||||
\(428\) | −9.36959 | −0.452896 | ||||||||
\(429\) | −3.46286 | −0.167188 | ||||||||
\(430\) | −1.51754 | −0.0731823 | ||||||||
\(431\) | −11.7879 | −0.567802 | −0.283901 | − | 0.958854i | \(-0.591629\pi\) | ||||
−0.283901 | + | 0.958854i | \(0.591629\pi\) | |||||||
\(432\) | 4.63816 | 0.223153 | ||||||||
\(433\) | 27.6459 | 1.32858 | 0.664289 | − | 0.747476i | \(-0.268735\pi\) | ||||
0.664289 | + | 0.747476i | \(0.268735\pi\) | |||||||
\(434\) | 1.87164 | 0.0898418 | ||||||||
\(435\) | −31.7743 | −1.52346 | ||||||||
\(436\) | 11.0642 | 0.529878 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 8.56893 | 0.409439 | ||||||||
\(439\) | 37.4492 | 1.78735 | 0.893677 | − | 0.448710i | \(-0.148116\pi\) | ||||
0.893677 | + | 0.448710i | \(0.148116\pi\) | |||||||
\(440\) | −2.82295 | −0.134579 | ||||||||
\(441\) | 9.92127 | 0.472442 | ||||||||
\(442\) | −3.11886 | −0.148349 | ||||||||
\(443\) | 20.9881 | 0.997177 | 0.498588 | − | 0.866839i | \(-0.333852\pi\) | ||||
0.498588 | + | 0.866839i | \(0.333852\pi\) | |||||||
\(444\) | −9.06418 | −0.430167 | ||||||||
\(445\) | −21.2918 | −1.00933 | ||||||||
\(446\) | 4.08378 | 0.193372 | ||||||||
\(447\) | 27.0060 | 1.27734 | ||||||||
\(448\) | 5.06418 | 0.239260 | ||||||||
\(449\) | −21.8949 | −1.03328 | −0.516641 | − | 0.856202i | \(-0.672818\pi\) | ||||
−0.516641 | + | 0.856202i | \(0.672818\pi\) | |||||||
\(450\) | −0.532089 | −0.0250829 | ||||||||
\(451\) | 2.16250 | 0.101828 | ||||||||
\(452\) | −13.2986 | −0.625514 | ||||||||
\(453\) | 39.1634 | 1.84006 | ||||||||
\(454\) | 13.6604 | 0.641116 | ||||||||
\(455\) | −13.2216 | −0.619840 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.0496 | −0.610436 | −0.305218 | − | 0.952283i | \(-0.598729\pi\) | ||||
−0.305218 | + | 0.952283i | \(0.598729\pi\) | |||||||
\(458\) | −5.22163 | −0.243991 | ||||||||
\(459\) | 11.0814 | 0.517236 | ||||||||
\(460\) | −6.12836 | −0.285736 | ||||||||
\(461\) | 4.40879 | 0.205338 | 0.102669 | − | 0.994716i | \(-0.467262\pi\) | ||||
0.102669 | + | 0.994716i | \(0.467262\pi\) | |||||||
\(462\) | 13.4338 | 0.624995 | ||||||||
\(463\) | 26.6655 | 1.23925 | 0.619625 | − | 0.784898i | \(-0.287285\pi\) | ||||
0.619625 | + | 0.784898i | \(0.287285\pi\) | |||||||
\(464\) | 8.45336 | 0.392438 | ||||||||
\(465\) | −1.38919 | −0.0644219 | ||||||||
\(466\) | −27.0428 | −1.25273 | ||||||||
\(467\) | 30.1138 | 1.39350 | 0.696750 | − | 0.717314i | \(-0.254629\pi\) | ||||
0.696750 | + | 0.717314i | \(0.254629\pi\) | |||||||
\(468\) | −0.694593 | −0.0321076 | ||||||||
\(469\) | −7.10876 | −0.328252 | ||||||||
\(470\) | −20.4243 | −0.942101 | ||||||||
\(471\) | −11.9709 | −0.551590 | ||||||||
\(472\) | 0.716881 | 0.0329971 | ||||||||
\(473\) | 1.07098 | 0.0492439 | ||||||||
\(474\) | 4.21213 | 0.193470 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.0993 | 0.554569 | ||||||||
\(477\) | 0.891245 | 0.0408073 | ||||||||
\(478\) | −0.285807 | −0.0130725 | ||||||||
\(479\) | 8.16756 | 0.373185 | 0.186593 | − | 0.982437i | \(-0.440256\pi\) | ||||
0.186593 | + | 0.982437i | \(0.440256\pi\) | |||||||
\(480\) | −3.75877 | −0.171564 | ||||||||
\(481\) | −6.29591 | −0.287069 | ||||||||
\(482\) | 3.10101 | 0.141247 | ||||||||
\(483\) | 29.1634 | 1.32698 | ||||||||
\(484\) | −9.00774 | −0.409443 | ||||||||
\(485\) | −3.06418 | −0.139137 | ||||||||
\(486\) | 5.46791 | 0.248029 | ||||||||
\(487\) | 26.5871 | 1.20478 | 0.602388 | − | 0.798203i | \(-0.294216\pi\) | ||||
0.602388 | + | 0.798203i | \(0.294216\pi\) | |||||||
\(488\) | 9.75877 | 0.441759 | ||||||||
\(489\) | −8.89218 | −0.402118 | ||||||||
\(490\) | 37.2918 | 1.68467 | ||||||||
\(491\) | 38.8289 | 1.75233 | 0.876163 | − | 0.482016i | \(-0.160095\pi\) | ||||
0.876163 | + | 0.482016i | \(0.160095\pi\) | |||||||
\(492\) | 2.87939 | 0.129813 | ||||||||
\(493\) | 20.1967 | 0.909611 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.50206 | −0.0675125 | ||||||||
\(496\) | 0.369585 | 0.0165949 | ||||||||
\(497\) | −32.2567 | −1.44691 | ||||||||
\(498\) | 7.49020 | 0.335644 | ||||||||
\(499\) | 20.6587 | 0.924810 | 0.462405 | − | 0.886669i | \(-0.346987\pi\) | ||||
0.462405 | + | 0.886669i | \(0.346987\pi\) | |||||||
\(500\) | −12.0000 | −0.536656 | ||||||||
\(501\) | −32.4688 | −1.45060 | ||||||||
\(502\) | −12.6578 | −0.564943 | ||||||||
\(503\) | 0.0736733 | 0.00328493 | 0.00164246 | − | 0.999999i | \(-0.499477\pi\) | ||||
0.00164246 | + | 0.999999i | \(0.499477\pi\) | |||||||
\(504\) | 2.69459 | 0.120027 | ||||||||
\(505\) | 17.6459 | 0.785232 | ||||||||
\(506\) | 4.32501 | 0.192270 | ||||||||
\(507\) | 21.2294 | 0.942829 | ||||||||
\(508\) | −5.71419 | −0.253526 | ||||||||
\(509\) | 15.0196 | 0.665732 | 0.332866 | − | 0.942974i | \(-0.391984\pi\) | ||||
0.332866 | + | 0.942974i | \(0.391984\pi\) | |||||||
\(510\) | −8.98040 | −0.397659 | ||||||||
\(511\) | −23.0898 | −1.02143 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −30.3928 | −1.34057 | ||||||||
\(515\) | −14.2959 | −0.629953 | ||||||||
\(516\) | 1.42602 | 0.0627771 | ||||||||
\(517\) | 14.4142 | 0.633934 | ||||||||
\(518\) | 24.4243 | 1.07314 | ||||||||
\(519\) | −35.3756 | −1.55282 | ||||||||
\(520\) | −2.61081 | −0.114492 | ||||||||
\(521\) | 45.1712 | 1.97899 | 0.989493 | − | 0.144583i | \(-0.0461842\pi\) | ||||
0.989493 | + | 0.144583i | \(0.0461842\pi\) | |||||||
\(522\) | 4.49794 | 0.196870 | ||||||||
\(523\) | 0.167556 | 0.00732672 | 0.00366336 | − | 0.999993i | \(-0.498834\pi\) | ||||
0.00366336 | + | 0.999993i | \(0.498834\pi\) | |||||||
\(524\) | −9.87939 | −0.431583 | ||||||||
\(525\) | 9.51754 | 0.415380 | ||||||||
\(526\) | 21.9026 | 0.954999 | ||||||||
\(527\) | 0.883007 | 0.0384644 | ||||||||
\(528\) | 2.65270 | 0.115444 | ||||||||
\(529\) | −13.6108 | −0.591775 | ||||||||
\(530\) | 3.34998 | 0.145514 | ||||||||
\(531\) | 0.381445 | 0.0165533 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | 0.0866296 | ||||||||
\(534\) | 20.0077 | 0.865820 | ||||||||
\(535\) | −18.7392 | −0.810165 | ||||||||
\(536\) | −1.40373 | −0.0606320 | ||||||||
\(537\) | 25.9881 | 1.12147 | ||||||||
\(538\) | −1.43376 | −0.0618139 | ||||||||
\(539\) | −26.3182 | −1.13361 | ||||||||
\(540\) | 9.27631 | 0.399189 | ||||||||
\(541\) | −0.980400 | −0.0421507 | −0.0210753 | − | 0.999778i | \(-0.506709\pi\) | ||||
−0.0210753 | + | 0.999778i | \(0.506709\pi\) | |||||||
\(542\) | 16.1729 | 0.694687 | ||||||||
\(543\) | −23.0351 | −0.988530 | ||||||||
\(544\) | 2.38919 | 0.102435 | ||||||||
\(545\) | 22.1284 | 0.947875 | ||||||||
\(546\) | 12.4243 | 0.531710 | ||||||||
\(547\) | 28.4047 | 1.21450 | 0.607248 | − | 0.794512i | \(-0.292273\pi\) | ||||
0.607248 | + | 0.794512i | \(0.292273\pi\) | |||||||
\(548\) | 5.39693 | 0.230545 | ||||||||
\(549\) | 5.19253 | 0.221612 | ||||||||
\(550\) | 1.41147 | 0.0601855 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 5.75877 | 0.245110 | ||||||||
\(553\) | −11.3500 | −0.482650 | ||||||||
\(554\) | 11.1088 | 0.471966 | ||||||||
\(555\) | −18.1284 | −0.769506 | ||||||||
\(556\) | −2.33956 | −0.0992193 | ||||||||
\(557\) | 35.6323 | 1.50979 | 0.754894 | − | 0.655847i | \(-0.227688\pi\) | ||||
0.754894 | + | 0.655847i | \(0.227688\pi\) | |||||||
\(558\) | 0.196652 | 0.00832495 | ||||||||
\(559\) | 0.990505 | 0.0418939 | ||||||||
\(560\) | 10.1284 | 0.428001 | ||||||||
\(561\) | 6.33780 | 0.267582 | ||||||||
\(562\) | 4.24897 | 0.179232 | ||||||||
\(563\) | 8.62773 | 0.363615 | 0.181808 | − | 0.983334i | \(-0.441805\pi\) | ||||
0.181808 | + | 0.983334i | \(0.441805\pi\) | |||||||
\(564\) | 19.1925 | 0.808151 | ||||||||
\(565\) | −26.5972 | −1.11895 | ||||||||
\(566\) | −5.45605 | −0.229335 | ||||||||
\(567\) | −52.2276 | −2.19335 | ||||||||
\(568\) | −6.36959 | −0.267262 | ||||||||
\(569\) | 22.3310 | 0.936164 | 0.468082 | − | 0.883685i | \(-0.344945\pi\) | ||||
0.468082 | + | 0.883685i | \(0.344945\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −9.56448 | −0.400261 | −0.200131 | − | 0.979769i | \(-0.564137\pi\) | ||||
−0.200131 | + | 0.979769i | \(0.564137\pi\) | |||||||
\(572\) | 1.84255 | 0.0770408 | ||||||||
\(573\) | 37.7743 | 1.57804 | ||||||||
\(574\) | −7.75877 | −0.323845 | ||||||||
\(575\) | 3.06418 | 0.127785 | ||||||||
\(576\) | 0.532089 | 0.0221704 | ||||||||
\(577\) | 22.4757 | 0.935674 | 0.467837 | − | 0.883815i | \(-0.345033\pi\) | ||||
0.467837 | + | 0.883815i | \(0.345033\pi\) | |||||||
\(578\) | −11.2918 | −0.469677 | ||||||||
\(579\) | −31.3577 | −1.30318 | ||||||||
\(580\) | 16.9067 | 0.702014 | ||||||||
\(581\) | −20.1830 | −0.837334 | ||||||||
\(582\) | 2.87939 | 0.119354 | ||||||||
\(583\) | −2.36421 | −0.0979155 | ||||||||
\(584\) | −4.55943 | −0.188671 | ||||||||
\(585\) | −1.38919 | −0.0574357 | ||||||||
\(586\) | 17.8135 | 0.735867 | ||||||||
\(587\) | 4.14796 | 0.171204 | 0.0856022 | − | 0.996329i | \(-0.472719\pi\) | ||||
0.0856022 | + | 0.996329i | \(0.472719\pi\) | |||||||
\(588\) | −35.0428 | −1.44514 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.43376 | 0.0590271 | ||||||||
\(591\) | −24.4142 | −1.00426 | ||||||||
\(592\) | 4.82295 | 0.198222 | ||||||||
\(593\) | 10.4175 | 0.427794 | 0.213897 | − | 0.976856i | \(-0.431384\pi\) | ||||
0.213897 | + | 0.976856i | \(0.431384\pi\) | |||||||
\(594\) | −6.54664 | −0.268612 | ||||||||
\(595\) | 24.1985 | 0.992043 | ||||||||
\(596\) | −14.3696 | −0.588601 | ||||||||
\(597\) | −32.3114 | −1.32242 | ||||||||
\(598\) | 4.00000 | 0.163572 | ||||||||
\(599\) | −39.6560 | −1.62030 | −0.810150 | − | 0.586222i | \(-0.800614\pi\) | ||||
−0.810150 | + | 0.586222i | \(0.800614\pi\) | |||||||
\(600\) | 1.87939 | 0.0767256 | ||||||||
\(601\) | 23.8648 | 0.973467 | 0.486734 | − | 0.873551i | \(-0.338188\pi\) | ||||
0.486734 | + | 0.873551i | \(0.338188\pi\) | |||||||
\(602\) | −3.84255 | −0.156611 | ||||||||
\(603\) | −0.746911 | −0.0304166 | ||||||||
\(604\) | −20.8384 | −0.847904 | ||||||||
\(605\) | −18.0155 | −0.732433 | ||||||||
\(606\) | −16.5817 | −0.673586 | ||||||||
\(607\) | −29.9317 | −1.21489 | −0.607445 | − | 0.794362i | \(-0.707806\pi\) | ||||
−0.607445 | + | 0.794362i | \(0.707806\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −80.4552 | −3.26021 | ||||||||
\(610\) | 19.5175 | 0.790242 | ||||||||
\(611\) | 13.3310 | 0.539314 | ||||||||
\(612\) | 1.27126 | 0.0513876 | ||||||||
\(613\) | −35.5776 | −1.43697 | −0.718483 | − | 0.695545i | \(-0.755163\pi\) | ||||
−0.718483 | + | 0.695545i | \(0.755163\pi\) | |||||||
\(614\) | −28.6587 | −1.15657 | ||||||||
\(615\) | 5.75877 | 0.232216 | ||||||||
\(616\) | −7.14796 | −0.287999 | ||||||||
\(617\) | 12.0324 | 0.484406 | 0.242203 | − | 0.970226i | \(-0.422130\pi\) | ||||
0.242203 | + | 0.970226i | \(0.422130\pi\) | |||||||
\(618\) | 13.4338 | 0.540385 | ||||||||
\(619\) | −17.1129 | −0.687824 | −0.343912 | − | 0.939002i | \(-0.611752\pi\) | ||||
−0.343912 | + | 0.939002i | \(0.611752\pi\) | |||||||
\(620\) | 0.739170 | 0.0296858 | ||||||||
\(621\) | −14.2121 | −0.570313 | ||||||||
\(622\) | 15.8135 | 0.634062 | ||||||||
\(623\) | −53.9127 | −2.15997 | ||||||||
\(624\) | 2.45336 | 0.0982131 | ||||||||
\(625\) | −19.0000 | −0.760000 | ||||||||
\(626\) | 13.1402 | 0.525189 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 6.36959 | 0.254174 | ||||||||
\(629\) | 11.5229 | 0.459449 | ||||||||
\(630\) | 5.38919 | 0.214710 | ||||||||
\(631\) | 18.3405 | 0.730123 | 0.365062 | − | 0.930983i | \(-0.381048\pi\) | ||||
0.365062 | + | 0.930983i | \(0.381048\pi\) | |||||||
\(632\) | −2.24123 | −0.0891513 | ||||||||
\(633\) | 30.2746 | 1.20331 | ||||||||
\(634\) | −21.4047 | −0.850088 | ||||||||
\(635\) | −11.4284 | −0.453522 | ||||||||
\(636\) | −3.14796 | −0.124825 | ||||||||
\(637\) | −24.3405 | −0.964405 | ||||||||
\(638\) | −11.9317 | −0.472381 | ||||||||
\(639\) | −3.38919 | −0.134074 | ||||||||
\(640\) | 2.00000 | 0.0790569 | ||||||||
\(641\) | −31.1780 | −1.23146 | −0.615728 | − | 0.787959i | \(-0.711138\pi\) | ||||
−0.615728 | + | 0.787959i | \(0.711138\pi\) | |||||||
\(642\) | 17.6091 | 0.694974 | ||||||||
\(643\) | −31.9495 | −1.25997 | −0.629984 | − | 0.776608i | \(-0.716938\pi\) | ||||
−0.629984 | + | 0.776608i | \(0.716938\pi\) | |||||||
\(644\) | −15.5175 | −0.611477 | ||||||||
\(645\) | 2.85204 | 0.112299 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 2.99588 | 0.117780 | 0.0588901 | − | 0.998264i | \(-0.481244\pi\) | ||||
0.0588901 | + | 0.998264i | \(0.481244\pi\) | |||||||
\(648\) | −10.3131 | −0.405139 | ||||||||
\(649\) | −1.01186 | −0.0397190 | ||||||||
\(650\) | 1.30541 | 0.0512023 | ||||||||
\(651\) | −3.51754 | −0.137863 | ||||||||
\(652\) | 4.73143 | 0.185297 | ||||||||
\(653\) | 0.935822 | 0.0366216 | 0.0183108 | − | 0.999832i | \(-0.494171\pi\) | ||||
0.0183108 | + | 0.999832i | \(0.494171\pi\) | |||||||
\(654\) | −20.7939 | −0.813104 | ||||||||
\(655\) | −19.7588 | −0.772039 | ||||||||
\(656\) | −1.53209 | −0.0598180 | ||||||||
\(657\) | −2.42602 | −0.0946481 | ||||||||
\(658\) | −51.7161 | −2.01610 | ||||||||
\(659\) | −12.2371 | −0.476690 | −0.238345 | − | 0.971181i | \(-0.576605\pi\) | ||||
−0.238345 | + | 0.971181i | \(0.576605\pi\) | |||||||
\(660\) | 5.30541 | 0.206513 | ||||||||
\(661\) | −11.9554 | −0.465012 | −0.232506 | − | 0.972595i | \(-0.574693\pi\) | ||||
−0.232506 | + | 0.972595i | \(0.574693\pi\) | |||||||
\(662\) | −25.3979 | −0.987116 | ||||||||
\(663\) | 5.86154 | 0.227643 | ||||||||
\(664\) | −3.98545 | −0.154666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.56624 | 0.0994397 | ||||||||
\(667\) | −25.9026 | −1.00295 | ||||||||
\(668\) | 17.2763 | 0.668441 | ||||||||
\(669\) | −7.67499 | −0.296732 | ||||||||
\(670\) | −2.80747 | −0.108462 | ||||||||
\(671\) | −13.7743 | −0.531749 | ||||||||
\(672\) | −9.51754 | −0.367147 | ||||||||
\(673\) | 44.8634 | 1.72936 | 0.864679 | − | 0.502325i | \(-0.167522\pi\) | ||||
0.864679 | + | 0.502325i | \(0.167522\pi\) | |||||||
\(674\) | 26.3773 | 1.01602 | ||||||||
\(675\) | −4.63816 | −0.178523 | ||||||||
\(676\) | −11.2959 | −0.434458 | ||||||||
\(677\) | 0.945927 | 0.0363549 | 0.0181775 | − | 0.999835i | \(-0.494214\pi\) | ||||
0.0181775 | + | 0.999835i | \(0.494214\pi\) | |||||||
\(678\) | 24.9932 | 0.959858 | ||||||||
\(679\) | −7.75877 | −0.297754 | ||||||||
\(680\) | 4.77837 | 0.183242 | ||||||||
\(681\) | −25.6732 | −0.983801 | ||||||||
\(682\) | −0.521660 | −0.0199754 | ||||||||
\(683\) | −5.92221 | −0.226607 | −0.113303 | − | 0.993560i | \(-0.536143\pi\) | ||||
−0.113303 | + | 0.993560i | \(0.536143\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 10.7939 | 0.412412 | ||||||||
\(686\) | 58.9769 | 2.25175 | ||||||||
\(687\) | 9.81345 | 0.374407 | ||||||||
\(688\) | −0.758770 | −0.0289279 | ||||||||
\(689\) | −2.18655 | −0.0833008 | ||||||||
\(690\) | 11.5175 | 0.438465 | ||||||||
\(691\) | 0.206148 | 0.00784222 | 0.00392111 | − | 0.999992i | \(-0.498752\pi\) | ||||
0.00392111 | + | 0.999992i | \(0.498752\pi\) | |||||||
\(692\) | 18.8229 | 0.715541 | ||||||||
\(693\) | −3.80335 | −0.144477 | ||||||||
\(694\) | −25.6313 | −0.972953 | ||||||||
\(695\) | −4.67911 | −0.177489 | ||||||||
\(696\) | −15.8871 | −0.602200 | ||||||||
\(697\) | −3.66044 | −0.138649 | ||||||||
\(698\) | −5.84255 | −0.221144 | ||||||||
\(699\) | 50.8239 | 1.92234 | ||||||||
\(700\) | −5.06418 | −0.191408 | ||||||||
\(701\) | 4.36959 | 0.165037 | 0.0825185 | − | 0.996590i | \(-0.473704\pi\) | ||||
0.0825185 | + | 0.996590i | \(0.473704\pi\) | |||||||
\(702\) | −6.05468 | −0.228519 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −1.41147 | −0.0531969 | ||||||||
\(705\) | 38.3851 | 1.44567 | ||||||||
\(706\) | −22.4097 | −0.843401 | ||||||||
\(707\) | 44.6810 | 1.68040 | ||||||||
\(708\) | −1.34730 | −0.0506345 | ||||||||
\(709\) | 8.75465 | 0.328788 | 0.164394 | − | 0.986395i | \(-0.447433\pi\) | ||||
0.164394 | + | 0.986395i | \(0.447433\pi\) | |||||||
\(710\) | −12.7392 | −0.478093 | ||||||||
\(711\) | −1.19253 | −0.0447235 | ||||||||
\(712\) | −10.6459 | −0.398972 | ||||||||
\(713\) | −1.13247 | −0.0424115 | ||||||||
\(714\) | −22.7392 | −0.850992 | ||||||||
\(715\) | 3.68510 | 0.137815 | ||||||||
\(716\) | −13.8280 | −0.516777 | ||||||||
\(717\) | 0.537141 | 0.0200599 | ||||||||
\(718\) | 9.61680 | 0.358896 | ||||||||
\(719\) | −27.6067 | −1.02956 | −0.514778 | − | 0.857324i | \(-0.672126\pi\) | ||||
−0.514778 | + | 0.857324i | \(0.672126\pi\) | |||||||
\(720\) | 1.06418 | 0.0396596 | ||||||||
\(721\) | −36.1985 | −1.34810 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.82800 | −0.216746 | ||||||||
\(724\) | 12.2567 | 0.455517 | ||||||||
\(725\) | −8.45336 | −0.313950 | ||||||||
\(726\) | 16.9290 | 0.628295 | ||||||||
\(727\) | 28.6364 | 1.06207 | 0.531033 | − | 0.847351i | \(-0.321804\pi\) | ||||
0.531033 | + | 0.847351i | \(0.321804\pi\) | |||||||
\(728\) | −6.61081 | −0.245013 | ||||||||
\(729\) | 20.6631 | 0.765301 | ||||||||
\(730\) | −9.11886 | −0.337504 | ||||||||
\(731\) | −1.81284 | −0.0670504 | ||||||||
\(732\) | −18.3405 | −0.677884 | ||||||||
\(733\) | 36.9614 | 1.36520 | 0.682600 | − | 0.730792i | \(-0.260849\pi\) | ||||
0.682600 | + | 0.730792i | \(0.260849\pi\) | |||||||
\(734\) | 23.3601 | 0.862237 | ||||||||
\(735\) | −70.0856 | −2.58515 | ||||||||
\(736\) | −3.06418 | −0.112947 | ||||||||
\(737\) | 1.98133 | 0.0729833 | ||||||||
\(738\) | −0.815207 | −0.0300082 | ||||||||
\(739\) | 46.0265 | 1.69311 | 0.846556 | − | 0.532299i | \(-0.178672\pi\) | ||||
0.846556 | + | 0.532299i | \(0.178672\pi\) | |||||||
\(740\) | 9.64590 | 0.354590 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 8.48246 | 0.311401 | ||||||||
\(743\) | 26.4107 | 0.968913 | 0.484456 | − | 0.874815i | \(-0.339017\pi\) | ||||
0.484456 | + | 0.874815i | \(0.339017\pi\) | |||||||
\(744\) | −0.694593 | −0.0254650 | ||||||||
\(745\) | −28.7392 | −1.05292 | ||||||||
\(746\) | −25.9418 | −0.949797 | ||||||||
\(747\) | −2.12061 | −0.0775892 | ||||||||
\(748\) | −3.37227 | −0.123303 | ||||||||
\(749\) | −47.4492 | −1.73376 | ||||||||
\(750\) | 22.5526 | 0.823505 | ||||||||
\(751\) | −27.1771 | −0.991705 | −0.495852 | − | 0.868407i | \(-0.665144\pi\) | ||||
−0.495852 | + | 0.868407i | \(0.665144\pi\) | |||||||
\(752\) | −10.2121 | −0.372398 | ||||||||
\(753\) | 23.7888 | 0.866912 | ||||||||
\(754\) | −11.0351 | −0.401874 | ||||||||
\(755\) | −41.6769 | −1.51678 | ||||||||
\(756\) | 23.4884 | 0.854266 | ||||||||
\(757\) | 19.4047 | 0.705275 | 0.352637 | − | 0.935760i | \(-0.385285\pi\) | ||||
0.352637 | + | 0.935760i | \(0.385285\pi\) | |||||||
\(758\) | 9.47834 | 0.344269 | ||||||||
\(759\) | −8.12836 | −0.295041 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 40.2645 | 1.45959 | 0.729793 | − | 0.683669i | \(-0.239617\pi\) | ||||
0.729793 | + | 0.683669i | \(0.239617\pi\) | |||||||
\(762\) | 10.7392 | 0.389039 | ||||||||
\(763\) | 56.0310 | 2.02846 | ||||||||
\(764\) | −20.0993 | −0.727166 | ||||||||
\(765\) | 2.54252 | 0.0919249 | ||||||||
\(766\) | −13.4884 | −0.487357 | ||||||||
\(767\) | −0.935822 | −0.0337906 | ||||||||
\(768\) | −1.87939 | −0.0678165 | ||||||||
\(769\) | −38.9418 | −1.40428 | −0.702139 | − | 0.712040i | \(-0.747771\pi\) | ||||
−0.702139 | + | 0.712040i | \(0.747771\pi\) | |||||||
\(770\) | −14.2959 | −0.515189 | ||||||||
\(771\) | 57.1198 | 2.05712 | ||||||||
\(772\) | 16.6851 | 0.600510 | ||||||||
\(773\) | −6.76289 | −0.243244 | −0.121622 | − | 0.992576i | \(-0.538810\pi\) | ||||
−0.121622 | + | 0.992576i | \(0.538810\pi\) | |||||||
\(774\) | −0.403733 | −0.0145119 | ||||||||
\(775\) | −0.369585 | −0.0132759 | ||||||||
\(776\) | −1.53209 | −0.0549988 | ||||||||
\(777\) | −45.9026 | −1.64675 | ||||||||
\(778\) | −25.1480 | −0.901598 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 4.90673 | 0.175689 | ||||||||
\(781\) | 8.99050 | 0.321706 | ||||||||
\(782\) | −7.32089 | −0.261794 | ||||||||
\(783\) | 39.2080 | 1.40118 | ||||||||
\(784\) | 18.6459 | 0.665925 | ||||||||
\(785\) | 12.7392 | 0.454680 | ||||||||
\(786\) | 18.5672 | 0.662269 | ||||||||
\(787\) | 5.80478 | 0.206918 | 0.103459 | − | 0.994634i | \(-0.467009\pi\) | ||||
0.103459 | + | 0.994634i | \(0.467009\pi\) | |||||||
\(788\) | 12.9905 | 0.462768 | ||||||||
\(789\) | −41.1634 | −1.46546 | ||||||||
\(790\) | −4.48246 | −0.159479 | ||||||||
\(791\) | −67.3465 | −2.39456 | ||||||||
\(792\) | −0.751030 | −0.0266867 | ||||||||
\(793\) | −12.7392 | −0.452381 | ||||||||
\(794\) | 6.56624 | 0.233027 | ||||||||
\(795\) | −6.29591 | −0.223293 | ||||||||
\(796\) | 17.1925 | 0.609373 | ||||||||
\(797\) | −39.2181 | −1.38918 | −0.694589 | − | 0.719407i | \(-0.744414\pi\) | ||||
−0.694589 | + | 0.719407i | \(0.744414\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −24.3987 | −0.863163 | ||||||||
\(800\) | −1.00000 | −0.0353553 | ||||||||
\(801\) | −5.66456 | −0.200148 | ||||||||
\(802\) | −29.5107 | −1.04206 | ||||||||
\(803\) | 6.43552 | 0.227104 | ||||||||
\(804\) | 2.63816 | 0.0930406 | ||||||||
\(805\) | −31.0351 | −1.09384 | ||||||||
\(806\) | −0.482459 | −0.0169939 | ||||||||
\(807\) | 2.69459 | 0.0948542 | ||||||||
\(808\) | 8.82295 | 0.310390 | ||||||||
\(809\) | 7.00269 | 0.246201 | 0.123101 | − | 0.992394i | \(-0.460716\pi\) | ||||
0.123101 | + | 0.992394i | \(0.460716\pi\) | |||||||
\(810\) | −20.6263 | −0.724734 | ||||||||
\(811\) | 43.6851 | 1.53399 | 0.766996 | − | 0.641652i | \(-0.221751\pi\) | ||||
0.766996 | + | 0.641652i | \(0.221751\pi\) | |||||||
\(812\) | 42.8093 | 1.50231 | ||||||||
\(813\) | −30.3952 | −1.06601 | ||||||||
\(814\) | −6.80747 | −0.238602 | ||||||||
\(815\) | 9.46286 | 0.331469 | ||||||||
\(816\) | −4.49020 | −0.157188 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 21.1310 | 0.738830 | ||||||||
\(819\) | −3.51754 | −0.122913 | ||||||||
\(820\) | −3.06418 | −0.107006 | ||||||||
\(821\) | 12.3851 | 0.432242 | 0.216121 | − | 0.976367i | \(-0.430659\pi\) | ||||
0.216121 | + | 0.976367i | \(0.430659\pi\) | |||||||
\(822\) | −10.1429 | −0.353774 | ||||||||
\(823\) | −12.8283 | −0.447167 | −0.223584 | − | 0.974685i | \(-0.571776\pi\) | ||||
−0.223584 | + | 0.974685i | \(0.571776\pi\) | |||||||
\(824\) | −7.14796 | −0.249011 | ||||||||
\(825\) | −2.65270 | −0.0923553 | ||||||||
\(826\) | 3.63041 | 0.126318 | ||||||||
\(827\) | 25.0966 | 0.872693 | 0.436347 | − | 0.899779i | \(-0.356272\pi\) | ||||
0.436347 | + | 0.899779i | \(0.356272\pi\) | |||||||
\(828\) | −1.63041 | −0.0566608 | ||||||||
\(829\) | 28.3269 | 0.983833 | 0.491917 | − | 0.870642i | \(-0.336297\pi\) | ||||
0.491917 | + | 0.870642i | \(0.336297\pi\) | |||||||
\(830\) | −7.97090 | −0.276674 | ||||||||
\(831\) | −20.8776 | −0.724237 | ||||||||
\(832\) | −1.30541 | −0.0452569 | ||||||||
\(833\) | 44.5485 | 1.54351 | ||||||||
\(834\) | 4.39693 | 0.152253 | ||||||||
\(835\) | 34.5526 | 1.19574 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 1.71419 | 0.0592512 | ||||||||
\(838\) | −27.8830 | −0.963203 | ||||||||
\(839\) | −30.3304 | −1.04712 | −0.523561 | − | 0.851988i | \(-0.675397\pi\) | ||||
−0.523561 | + | 0.851988i | \(0.675397\pi\) | |||||||
\(840\) | −19.0351 | −0.656773 | ||||||||
\(841\) | 42.4593 | 1.46412 | ||||||||
\(842\) | −0.0445774 | −0.00153624 | ||||||||
\(843\) | −7.98545 | −0.275034 | ||||||||
\(844\) | −16.1088 | −0.554486 | ||||||||
\(845\) | −22.5918 | −0.777182 | ||||||||
\(846\) | −5.43376 | −0.186817 | ||||||||
\(847\) | −45.6168 | −1.56741 | ||||||||
\(848\) | 1.67499 | 0.0575195 | ||||||||
\(849\) | 10.2540 | 0.351917 | ||||||||
\(850\) | −2.38919 | −0.0819484 | ||||||||
\(851\) | −14.7784 | −0.506596 | ||||||||
\(852\) | 11.9709 | 0.410116 | ||||||||
\(853\) | −43.6323 | −1.49394 | −0.746970 | − | 0.664857i | \(-0.768492\pi\) | ||||
−0.746970 | + | 0.664857i | \(0.768492\pi\) | |||||||
\(854\) | 49.4201 | 1.69112 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.36959 | −0.320246 | ||||||||
\(857\) | −31.5098 | −1.07635 | −0.538177 | − | 0.842832i | \(-0.680887\pi\) | ||||
−0.538177 | + | 0.842832i | \(0.680887\pi\) | |||||||
\(858\) | −3.46286 | −0.118220 | ||||||||
\(859\) | −18.6979 | −0.637964 | −0.318982 | − | 0.947761i | \(-0.603341\pi\) | ||||
−0.318982 | + | 0.947761i | \(0.603341\pi\) | |||||||
\(860\) | −1.51754 | −0.0517477 | ||||||||
\(861\) | 14.5817 | 0.496944 | ||||||||
\(862\) | −11.7879 | −0.401496 | ||||||||
\(863\) | 10.6263 | 0.361723 | 0.180862 | − | 0.983509i | \(-0.442111\pi\) | ||||
0.180862 | + | 0.983509i | \(0.442111\pi\) | |||||||
\(864\) | 4.63816 | 0.157793 | ||||||||
\(865\) | 37.6459 | 1.28000 | ||||||||
\(866\) | 27.6459 | 0.939446 | ||||||||
\(867\) | 21.2216 | 0.720724 | ||||||||
\(868\) | 1.87164 | 0.0635278 | ||||||||
\(869\) | 3.16344 | 0.107312 | ||||||||
\(870\) | −31.7743 | −1.07725 | ||||||||
\(871\) | 1.83244 | 0.0620900 | ||||||||
\(872\) | 11.0642 | 0.374680 | ||||||||
\(873\) | −0.815207 | −0.0275906 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −60.7701 | −2.05441 | ||||||||
\(876\) | 8.56893 | 0.289517 | ||||||||
\(877\) | 44.8985 | 1.51611 | 0.758057 | − | 0.652188i | \(-0.226149\pi\) | ||||
0.758057 | + | 0.652188i | \(0.226149\pi\) | |||||||
\(878\) | 37.4492 | 1.26385 | ||||||||
\(879\) | −33.4783 | −1.12920 | ||||||||
\(880\) | −2.82295 | −0.0951616 | ||||||||
\(881\) | −18.0164 | −0.606988 | −0.303494 | − | 0.952833i | \(-0.598153\pi\) | ||||
−0.303494 | + | 0.952833i | \(0.598153\pi\) | |||||||
\(882\) | 9.92127 | 0.334067 | ||||||||
\(883\) | −46.5981 | −1.56815 | −0.784076 | − | 0.620665i | \(-0.786863\pi\) | ||||
−0.784076 | + | 0.620665i | \(0.786863\pi\) | |||||||
\(884\) | −3.11886 | −0.104899 | ||||||||
\(885\) | −2.69459 | −0.0905777 | ||||||||
\(886\) | 20.9881 | 0.705110 | ||||||||
\(887\) | 7.07966 | 0.237712 | 0.118856 | − | 0.992912i | \(-0.462077\pi\) | ||||
0.118856 | + | 0.992912i | \(0.462077\pi\) | |||||||
\(888\) | −9.06418 | −0.304174 | ||||||||
\(889\) | −28.9377 | −0.970539 | ||||||||
\(890\) | −21.2918 | −0.713703 | ||||||||
\(891\) | 14.5567 | 0.487669 | ||||||||
\(892\) | 4.08378 | 0.136735 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 27.0060 | 0.903215 | ||||||||
\(895\) | −27.6560 | −0.924438 | ||||||||
\(896\) | 5.06418 | 0.169182 | ||||||||
\(897\) | −7.51754 | −0.251003 | ||||||||
\(898\) | −21.8949 | −0.730641 | ||||||||
\(899\) | 3.12424 | 0.104199 | ||||||||
\(900\) | −0.532089 | −0.0177363 | ||||||||
\(901\) | 4.00187 | 0.133322 | ||||||||
\(902\) | 2.16250 | 0.0720035 | ||||||||
\(903\) | 7.22163 | 0.240321 | ||||||||
\(904\) | −13.2986 | −0.442305 | ||||||||
\(905\) | 24.5134 | 0.814854 | ||||||||
\(906\) | 39.1634 | 1.30112 | ||||||||
\(907\) | 15.1156 | 0.501904 | 0.250952 | − | 0.968000i | \(-0.419256\pi\) | ||||
0.250952 | + | 0.968000i | \(0.419256\pi\) | |||||||
\(908\) | 13.6604 | 0.453338 | ||||||||
\(909\) | 4.69459 | 0.155710 | ||||||||
\(910\) | −13.2216 | −0.438293 | ||||||||
\(911\) | −12.8366 | −0.425294 | −0.212647 | − | 0.977129i | \(-0.568208\pi\) | ||||
−0.212647 | + | 0.977129i | \(0.568208\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.62536 | 0.186172 | ||||||||
\(914\) | −13.0496 | −0.431643 | ||||||||
\(915\) | −36.6810 | −1.21264 | ||||||||
\(916\) | −5.22163 | −0.172527 | ||||||||
\(917\) | −50.0310 | −1.65217 | ||||||||
\(918\) | 11.0814 | 0.365741 | ||||||||
\(919\) | −20.6791 | −0.682141 | −0.341070 | − | 0.940038i | \(-0.610789\pi\) | ||||
−0.341070 | + | 0.940038i | \(0.610789\pi\) | |||||||
\(920\) | −6.12836 | −0.202046 | ||||||||
\(921\) | 53.8607 | 1.77477 | ||||||||
\(922\) | 4.40879 | 0.145196 | ||||||||
\(923\) | 8.31490 | 0.273688 | ||||||||
\(924\) | 13.4338 | 0.441938 | ||||||||
\(925\) | −4.82295 | −0.158578 | ||||||||
\(926\) | 26.6655 | 0.876283 | ||||||||
\(927\) | −3.80335 | −0.124918 | ||||||||
\(928\) | 8.45336 | 0.277495 | ||||||||
\(929\) | −18.2499 | −0.598760 | −0.299380 | − | 0.954134i | \(-0.596780\pi\) | ||||
−0.299380 | + | 0.954134i | \(0.596780\pi\) | |||||||
\(930\) | −1.38919 | −0.0455532 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −27.0428 | −0.885817 | ||||||||
\(933\) | −29.7196 | −0.972975 | ||||||||
\(934\) | 30.1138 | 0.985354 | ||||||||
\(935\) | −6.74455 | −0.220570 | ||||||||
\(936\) | −0.694593 | −0.0227035 | ||||||||
\(937\) | −4.74691 | −0.155075 | −0.0775374 | − | 0.996989i | \(-0.524706\pi\) | ||||
−0.0775374 | + | 0.996989i | \(0.524706\pi\) | |||||||
\(938\) | −7.10876 | −0.232109 | ||||||||
\(939\) | −24.6955 | −0.805908 | ||||||||
\(940\) | −20.4243 | −0.666166 | ||||||||
\(941\) | 47.0215 | 1.53286 | 0.766428 | − | 0.642330i | \(-0.222032\pi\) | ||||
0.766428 | + | 0.642330i | \(0.222032\pi\) | |||||||
\(942\) | −11.9709 | −0.390033 | ||||||||
\(943\) | 4.69459 | 0.152877 | ||||||||
\(944\) | 0.716881 | 0.0233325 | ||||||||
\(945\) | 46.9769 | 1.52816 | ||||||||
\(946\) | 1.07098 | 0.0348207 | ||||||||
\(947\) | 36.9959 | 1.20220 | 0.601102 | − | 0.799172i | \(-0.294728\pi\) | ||||
0.601102 | + | 0.799172i | \(0.294728\pi\) | |||||||
\(948\) | 4.21213 | 0.136804 | ||||||||
\(949\) | 5.95191 | 0.193207 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 40.2276 | 1.30447 | ||||||||
\(952\) | 12.0993 | 0.392139 | ||||||||
\(953\) | −37.7093 | −1.22152 | −0.610761 | − | 0.791815i | \(-0.709136\pi\) | ||||
−0.610761 | + | 0.791815i | \(0.709136\pi\) | |||||||
\(954\) | 0.891245 | 0.0288551 | ||||||||
\(955\) | −40.1985 | −1.30079 | ||||||||
\(956\) | −0.285807 | −0.00924366 | ||||||||
\(957\) | 22.4243 | 0.724874 | ||||||||
\(958\) | 8.16756 | 0.263882 | ||||||||
\(959\) | 27.3310 | 0.882564 | ||||||||
\(960\) | −3.75877 | −0.121314 | ||||||||
\(961\) | −30.8634 | −0.995594 | ||||||||
\(962\) | −6.29591 | −0.202988 | ||||||||
\(963\) | −4.98545 | −0.160654 | ||||||||
\(964\) | 3.10101 | 0.0998769 | ||||||||
\(965\) | 33.3702 | 1.07422 | ||||||||
\(966\) | 29.1634 | 0.938318 | ||||||||
\(967\) | 40.5134 | 1.30282 | 0.651412 | − | 0.758724i | \(-0.274177\pi\) | ||||
0.651412 | + | 0.758724i | \(0.274177\pi\) | |||||||
\(968\) | −9.00774 | −0.289520 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3.06418 | −0.0983848 | ||||||||
\(971\) | −14.0779 | −0.451781 | −0.225891 | − | 0.974153i | \(-0.572529\pi\) | ||||
−0.225891 | + | 0.974153i | \(0.572529\pi\) | |||||||
\(972\) | 5.46791 | 0.175383 | ||||||||
\(973\) | −11.8479 | −0.379827 | ||||||||
\(974\) | 26.5871 | 0.851905 | ||||||||
\(975\) | −2.45336 | −0.0785705 | ||||||||
\(976\) | 9.75877 | 0.312371 | ||||||||
\(977\) | −35.2057 | −1.12633 | −0.563164 | − | 0.826345i | \(-0.690416\pi\) | ||||
−0.563164 | + | 0.826345i | \(0.690416\pi\) | |||||||
\(978\) | −8.89218 | −0.284341 | ||||||||
\(979\) | 15.0264 | 0.480246 | ||||||||
\(980\) | 37.2918 | 1.19124 | ||||||||
\(981\) | 5.88713 | 0.187961 | ||||||||
\(982\) | 38.8289 | 1.23908 | ||||||||
\(983\) | 22.4397 | 0.715717 | 0.357858 | − | 0.933776i | \(-0.383507\pi\) | ||||
0.357858 | + | 0.933776i | \(0.383507\pi\) | |||||||
\(984\) | 2.87939 | 0.0917914 | ||||||||
\(985\) | 25.9810 | 0.827824 | ||||||||
\(986\) | 20.1967 | 0.643192 | ||||||||
\(987\) | 97.1944 | 3.09373 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 2.32501 | 0.0739309 | ||||||||
\(990\) | −1.50206 | −0.0477386 | ||||||||
\(991\) | 27.1034 | 0.860967 | 0.430484 | − | 0.902598i | \(-0.358343\pi\) | ||||
0.430484 | + | 0.902598i | \(0.358343\pi\) | |||||||
\(992\) | 0.369585 | 0.0117343 | ||||||||
\(993\) | 47.7324 | 1.51474 | ||||||||
\(994\) | −32.2567 | −1.02312 | ||||||||
\(995\) | 34.3851 | 1.09008 | ||||||||
\(996\) | 7.49020 | 0.237336 | ||||||||
\(997\) | 27.9472 | 0.885096 | 0.442548 | − | 0.896745i | \(-0.354075\pi\) | ||||
0.442548 | + | 0.896745i | \(0.354075\pi\) | |||||||
\(998\) | 20.6587 | 0.653939 | ||||||||
\(999\) | 22.3696 | 0.707742 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))