Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(37,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.e (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 6.0.309123.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - 3x^{5} + 10x^{4} - 15x^{3} + 19x^{2} - 12x + 3 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 37.3 | ||
Root | \(0.500000 + 0.224437i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 378.37 |
Dual form | 378.2.e.d.235.3 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | 0.794182 | + | 1.37556i | 0.355169 | + | 0.615171i | 0.987147 | − | 0.159816i | \(-0.0510900\pi\) |
−0.631978 | + | 0.774986i | \(0.717757\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.23855 | − | 2.33795i | 0.468128 | − | 0.883661i | ||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0.794182 | + | 1.37556i | 0.251142 | + | 0.434991i | ||||
\(11\) | −0.794182 | + | 1.37556i | −0.239455 | + | 0.414748i | −0.960558 | − | 0.278080i | \(-0.910302\pi\) |
0.721103 | + | 0.692828i | \(0.243635\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.40545 | − | 4.16635i | 0.667151 | − | 1.15554i | −0.311547 | − | 0.950231i | \(-0.600847\pi\) |
0.978697 | − | 0.205308i | \(-0.0658196\pi\) | |||||||
\(14\) | 1.23855 | − | 2.33795i | 0.331016 | − | 0.624843i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 2.69963 | + | 4.67589i | 0.654756 | + | 1.13407i | 0.981955 | + | 0.189115i | \(0.0605620\pi\) |
−0.327199 | + | 0.944955i | \(0.606105\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.54944 | + | 6.14781i | −0.814298 | + | 1.41041i | 0.0955331 | + | 0.995426i | \(0.469544\pi\) |
−0.909831 | + | 0.414979i | \(0.863789\pi\) | |||||||
\(20\) | 0.794182 | + | 1.37556i | 0.177584 | + | 0.307585i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.794182 | + | 1.37556i | −0.169320 | + | 0.293271i | ||||
\(23\) | 0.150186 | + | 0.260130i | 0.0313159 | + | 0.0542408i | 0.881259 | − | 0.472634i | \(-0.156697\pi\) |
−0.849943 | + | 0.526875i | \(0.823364\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.23855 | − | 2.14523i | 0.247710 | − | 0.429046i | ||||
\(26\) | 2.40545 | − | 4.16635i | 0.471747 | − | 0.817089i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.23855 | − | 2.33795i | 0.234064 | − | 0.441830i | ||||
\(29\) | −4.13781 | − | 7.16689i | −0.768371 | − | 1.33086i | −0.938446 | − | 0.345427i | \(-0.887734\pi\) |
0.170074 | − | 0.985431i | \(-0.445599\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.71201 | −0.487091 | −0.243545 | − | 0.969889i | \(-0.578311\pi\) | ||||
−0.243545 | + | 0.969889i | \(0.578311\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.69963 | + | 4.67589i | 0.462982 | + | 0.801909i | ||||
\(35\) | 4.19963 | − | 0.153051i | 0.709867 | − | 0.0258703i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.500000 | − | 0.866025i | 0.0821995 | − | 0.142374i | −0.821995 | − | 0.569495i | \(-0.807139\pi\) |
0.904194 | + | 0.427121i | \(0.140472\pi\) | |||||||
\(38\) | −3.54944 | + | 6.14781i | −0.575796 | + | 0.997307i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.794182 | + | 1.37556i | 0.125571 | + | 0.217496i | ||||
\(41\) | −2.93818 | + | 5.08907i | −0.458866 | + | 0.794780i | −0.998901 | − | 0.0468628i | \(-0.985078\pi\) |
0.540035 | + | 0.841643i | \(0.318411\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.833104 | − | 1.44298i | −0.127047 | − | 0.220052i | 0.795484 | − | 0.605974i | \(-0.207217\pi\) |
−0.922531 | + | 0.385922i | \(0.873883\pi\) | |||||||
\(44\) | −0.794182 | + | 1.37556i | −0.119727 | + | 0.207374i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.150186 | + | 0.260130i | 0.0221437 | + | 0.0383540i | ||||
\(47\) | −2.66621 | −0.388906 | −0.194453 | − | 0.980912i | \(-0.562293\pi\) | ||||
−0.194453 | + | 0.980912i | \(0.562293\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −3.93199 | − | 5.79133i | −0.561713 | − | 0.827332i | ||||
\(50\) | 1.23855 | − | 2.14523i | 0.175157 | − | 0.303382i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.40545 | − | 4.16635i | 0.333575 | − | 0.577769i | ||||
\(53\) | −2.44437 | − | 4.23377i | −0.335760 | − | 0.581553i | 0.647871 | − | 0.761750i | \(-0.275660\pi\) |
−0.983630 | + | 0.180197i | \(0.942326\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −2.52290 | −0.340188 | ||||||||
\(56\) | 1.23855 | − | 2.33795i | 0.165508 | − | 0.312421i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.13781 | − | 7.16689i | −0.543321 | − | 0.941059i | ||||
\(59\) | −6.47710 | −0.843247 | −0.421623 | − | 0.906771i | \(-0.638540\pi\) | ||||
−0.421623 | + | 0.906771i | \(0.638540\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −4.47710 | −0.573234 | −0.286617 | − | 0.958045i | \(-0.592531\pi\) | ||||
−0.286617 | + | 0.958045i | \(0.592531\pi\) | |||||||
\(62\) | −2.71201 | −0.344425 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 7.64145 | 0.947805 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −10.0531 | −1.22818 | −0.614090 | − | 0.789236i | \(-0.710477\pi\) | ||||
−0.614090 | + | 0.789236i | \(0.710477\pi\) | |||||||
\(68\) | 2.69963 | + | 4.67589i | 0.327378 | + | 0.567035i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 4.19963 | − | 0.153051i | 0.501952 | − | 0.0182931i | ||||
\(71\) | −12.7207 | −1.50967 | −0.754833 | − | 0.655917i | \(-0.772282\pi\) | ||||
−0.754833 | + | 0.655917i | \(0.772282\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.02654 | + | 13.9024i | 0.939436 | + | 1.62715i | 0.766527 | + | 0.642213i | \(0.221983\pi\) |
0.172909 | + | 0.984938i | \(0.444683\pi\) | |||||||
\(74\) | 0.500000 | − | 0.866025i | 0.0581238 | − | 0.100673i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.54944 | + | 6.14781i | −0.407149 | + | 0.705203i | ||||
\(77\) | 2.23236 | + | 3.56046i | 0.254401 | + | 0.405752i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 8.38688 | 0.943597 | 0.471799 | − | 0.881706i | \(-0.343605\pi\) | ||||
0.471799 | + | 0.881706i | \(0.343605\pi\) | |||||||
\(80\) | 0.794182 | + | 1.37556i | 0.0887922 | + | 0.153793i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −2.93818 | + | 5.08907i | −0.324467 | + | 0.561994i | ||||
\(83\) | −1.18292 | − | 2.04887i | −0.129842 | − | 0.224893i | 0.793773 | − | 0.608214i | \(-0.208114\pi\) |
−0.923615 | + | 0.383321i | \(0.874780\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −4.28799 | + | 7.42702i | −0.465098 | + | 0.805573i | ||||
\(86\) | −0.833104 | − | 1.44298i | −0.0898359 | − | 0.155600i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.794182 | + | 1.37556i | −0.0846601 | + | 0.146636i | ||||
\(89\) | −1.60507 | + | 2.78007i | −0.170138 | + | 0.294687i | −0.938468 | − | 0.345367i | \(-0.887755\pi\) |
0.768330 | + | 0.640054i | \(0.221088\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.76145 | − | 10.7840i | −0.708793 | − | 1.13047i | ||||
\(92\) | 0.150186 | + | 0.260130i | 0.0156580 | + | 0.0271204i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −2.66621 | −0.274998 | ||||||||
\(95\) | −11.2756 | −1.15685 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.712008 | + | 1.23323i | 0.0722934 | + | 0.125216i | 0.899906 | − | 0.436084i | \(-0.143635\pi\) |
−0.827613 | + | 0.561300i | \(0.810302\pi\) | |||||||
\(98\) | −3.93199 | − | 5.79133i | −0.397191 | − | 0.585012i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 1.23855 | − | 2.14523i | 0.123855 | − | 0.214523i | ||||
\(101\) | 6.01671 | − | 10.4212i | 0.598685 | − | 1.03695i | −0.394330 | − | 0.918969i | \(-0.629023\pi\) |
0.993015 | − | 0.117984i | \(-0.0376432\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 3.04944 | + | 5.28179i | 0.300470 | + | 0.520430i | 0.976243 | − | 0.216680i | \(-0.0695230\pi\) |
−0.675772 | + | 0.737111i | \(0.736190\pi\) | |||||||
\(104\) | 2.40545 | − | 4.16635i | 0.235873 | − | 0.408545i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −2.44437 | − | 4.23377i | −0.237418 | − | 0.411220i | ||||
\(107\) | 1.54325 | − | 2.67299i | 0.149192 | − | 0.258408i | −0.781737 | − | 0.623608i | \(-0.785666\pi\) |
0.930929 | + | 0.365200i | \(0.118999\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.14400 | + | 1.98146i | 0.109575 | + | 0.189789i | 0.915598 | − | 0.402095i | \(-0.131718\pi\) |
−0.806023 | + | 0.591884i | \(0.798384\pi\) | |||||||
\(110\) | −2.52290 | −0.240549 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.23855 | − | 2.33795i | 0.117032 | − | 0.220915i | ||||
\(113\) | 9.73236 | − | 16.8569i | 0.915543 | − | 1.58577i | 0.109440 | − | 0.993993i | \(-0.465094\pi\) |
0.806104 | − | 0.591774i | \(-0.201572\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.238550 | + | 0.413181i | −0.0222449 | + | 0.0385293i | ||||
\(116\) | −4.13781 | − | 7.16689i | −0.384186 | − | 0.665429i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.47710 | −0.596265 | ||||||||
\(119\) | 14.2756 | − | 0.520259i | 1.30864 | − | 0.0476921i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.23855 | + | 7.34138i | 0.385323 | + | 0.667399i | ||||
\(122\) | −4.47710 | −0.405338 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.71201 | −0.243545 | ||||||||
\(125\) | 11.8764 | 1.06225 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −13.4400 | −1.19260 | −0.596302 | − | 0.802760i | \(-0.703364\pi\) | ||||
−0.596302 | + | 0.802760i | \(0.703364\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 7.64145 | 0.670199 | ||||||||
\(131\) | −1.58836 | − | 2.75113i | −0.138776 | − | 0.240367i | 0.788258 | − | 0.615345i | \(-0.210983\pi\) |
−0.927034 | + | 0.374978i | \(0.877650\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.97710 | + | 15.9128i | 0.865124 | + | 1.37981i | ||||
\(134\) | −10.0531 | −0.868454 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.69963 | + | 4.67589i | 0.231491 | + | 0.400955i | ||||
\(137\) | −10.6316 | + | 18.4145i | −0.908320 | + | 1.57326i | −0.0919231 | + | 0.995766i | \(0.529301\pi\) |
−0.816397 | + | 0.577491i | \(0.804032\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 6.52654 | − | 11.3043i | 0.553574 | − | 0.958818i | −0.444439 | − | 0.895809i | \(-0.646597\pi\) |
0.998013 | − | 0.0630092i | \(-0.0200698\pi\) | |||||||
\(140\) | 4.19963 | − | 0.153051i | 0.354933 | − | 0.0129352i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −12.7207 | −1.06749 | ||||||||
\(143\) | 3.82072 | + | 6.61769i | 0.319505 | + | 0.553399i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.57234 | − | 11.3836i | 0.545803 | − | 0.945359i | ||||
\(146\) | 8.02654 | + | 13.9024i | 0.664281 | + | 1.15057i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.500000 | − | 0.866025i | 0.0410997 | − | 0.0711868i | ||||
\(149\) | 2.60439 | + | 4.51093i | 0.213360 | + | 0.369550i | 0.952764 | − | 0.303712i | \(-0.0982261\pi\) |
−0.739404 | + | 0.673262i | \(0.764893\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 0.261450 | − | 0.452845i | 0.0212765 | − | 0.0368520i | −0.855191 | − | 0.518313i | \(-0.826560\pi\) |
0.876468 | + | 0.481461i | \(0.159894\pi\) | |||||||
\(152\) | −3.54944 | + | 6.14781i | −0.287898 | + | 0.498654i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 2.23236 | + | 3.56046i | 0.179889 | + | 0.286910i | ||||
\(155\) | −2.15383 | − | 3.73054i | −0.173000 | − | 0.299644i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 8.86398 | 0.707422 | 0.353711 | − | 0.935355i | \(-0.384920\pi\) | ||||
0.353711 | + | 0.935355i | \(0.384920\pi\) | |||||||
\(158\) | 8.38688 | 0.667224 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.794182 | + | 1.37556i | 0.0627856 | + | 0.108748i | ||||
\(161\) | 0.794182 | − | 0.0289431i | 0.0625903 | − | 0.00228104i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 10.9814 | − | 19.0204i | 0.860132 | − | 1.48979i | −0.0116689 | − | 0.999932i | \(-0.503714\pi\) |
0.871801 | − | 0.489860i | \(-0.162952\pi\) | |||||||
\(164\) | −2.93818 | + | 5.08907i | −0.229433 | + | 0.397390i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.18292 | − | 2.04887i | −0.0918122 | − | 0.159023i | ||||
\(167\) | −1.65019 | + | 2.85821i | −0.127695 | + | 0.221175i | −0.922783 | − | 0.385319i | \(-0.874091\pi\) |
0.795088 | + | 0.606494i | \(0.207425\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.07234 | − | 8.78555i | −0.390180 | − | 0.675812i | ||||
\(170\) | −4.28799 | + | 7.42702i | −0.328874 | + | 0.569626i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.833104 | − | 1.44298i | −0.0635236 | − | 0.110026i | ||||
\(173\) | −19.1075 | −1.45272 | −0.726360 | − | 0.687315i | \(-0.758789\pi\) | ||||
−0.726360 | + | 0.687315i | \(0.758789\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −3.48143 | − | 5.55264i | −0.263171 | − | 0.419740i | ||||
\(176\) | −0.794182 | + | 1.37556i | −0.0598637 | + | 0.103687i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.60507 | + | 2.78007i | −0.120305 | + | 0.208375i | ||||
\(179\) | 8.03706 | + | 13.9206i | 0.600718 | + | 1.04047i | 0.992712 | + | 0.120507i | \(0.0384520\pi\) |
−0.391994 | + | 0.919968i | \(0.628215\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.05308 | 0.598581 | 0.299291 | − | 0.954162i | \(-0.403250\pi\) | ||||
0.299291 | + | 0.954162i | \(0.403250\pi\) | |||||||
\(182\) | −6.76145 | − | 10.7840i | −0.501192 | − | 0.799366i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0.150186 | + | 0.260130i | 0.0110719 | + | 0.0191770i | ||||
\(185\) | 1.58836 | 0.116779 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −8.57598 | −0.627138 | ||||||||
\(188\) | −2.66621 | −0.194453 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −11.2756 | −0.818019 | ||||||||
\(191\) | 23.9629 | 1.73389 | 0.866946 | − | 0.498402i | \(-0.166080\pi\) | ||||
0.866946 | + | 0.498402i | \(0.166080\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 9.76509 | 0.702907 | 0.351453 | − | 0.936205i | \(-0.385688\pi\) | ||||
0.351453 | + | 0.936205i | \(0.385688\pi\) | |||||||
\(194\) | 0.712008 | + | 1.23323i | 0.0511192 | + | 0.0885410i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −3.93199 | − | 5.79133i | −0.280856 | − | 0.413666i | ||||
\(197\) | 18.2436 | 1.29980 | 0.649900 | − | 0.760020i | \(-0.274811\pi\) | ||||
0.649900 | + | 0.760020i | \(0.274811\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 9.04944 | + | 15.6741i | 0.641498 | + | 1.11111i | 0.985098 | + | 0.171991i | \(0.0550200\pi\) |
−0.343601 | + | 0.939116i | \(0.611647\pi\) | |||||||
\(200\) | 1.23855 | − | 2.14523i | 0.0875787 | − | 0.151691i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.01671 | − | 10.4212i | 0.423334 | − | 0.733236i | ||||
\(203\) | −21.8807 | + | 0.797418i | −1.53572 | + | 0.0559678i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −9.33379 | −0.651900 | ||||||||
\(206\) | 3.04944 | + | 5.28179i | 0.212465 | + | 0.368000i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2.40545 | − | 4.16635i | 0.166788 | − | 0.288885i | ||||
\(209\) | −5.63781 | − | 9.76497i | −0.389975 | − | 0.675457i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 0.166208 | − | 0.287880i | 0.0114422 | − | 0.0198185i | −0.860248 | − | 0.509877i | \(-0.829691\pi\) |
0.871690 | + | 0.490058i | \(0.163024\pi\) | |||||||
\(212\) | −2.44437 | − | 4.23377i | −0.167880 | − | 0.290776i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.54325 | − | 2.67299i | 0.105495 | − | 0.182722i | ||||
\(215\) | 1.32327 | − | 2.29197i | 0.0902464 | − | 0.156311i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.35896 | + | 6.34053i | −0.228021 | + | 0.430423i | ||||
\(218\) | 1.14400 | + | 1.98146i | 0.0774812 | + | 0.134201i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −2.52290 | −0.170094 | ||||||||
\(221\) | 25.9752 | 1.74728 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.16621 | + | 5.48403i | 0.212025 | + | 0.367238i | 0.952348 | − | 0.305013i | \(-0.0986609\pi\) |
−0.740323 | + | 0.672251i | \(0.765328\pi\) | |||||||
\(224\) | 1.23855 | − | 2.33795i | 0.0827541 | − | 0.156211i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 9.73236 | − | 16.8569i | 0.647387 | − | 1.12131i | ||||
\(227\) | −11.6545 | + | 20.1862i | −0.773537 | + | 1.33981i | 0.162075 | + | 0.986778i | \(0.448181\pi\) |
−0.935613 | + | 0.353028i | \(0.885152\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 2.47710 | + | 4.29046i | 0.163691 | + | 0.283522i | 0.936190 | − | 0.351495i | \(-0.114327\pi\) |
−0.772498 | + | 0.635017i | \(0.780993\pi\) | |||||||
\(230\) | −0.238550 | + | 0.413181i | −0.0157295 | + | 0.0272443i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.13781 | − | 7.16689i | −0.271660 | − | 0.470529i | ||||
\(233\) | 7.13781 | − | 12.3630i | 0.467613 | − | 0.809930i | −0.531702 | − | 0.846932i | \(-0.678447\pi\) |
0.999315 | + | 0.0370017i | \(0.0117807\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −2.11745 | − | 3.66754i | −0.138127 | − | 0.239244i | ||||
\(236\) | −6.47710 | −0.421623 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 14.2756 | − | 0.520259i | 0.925351 | − | 0.0337234i | ||||
\(239\) | −2.48762 | + | 4.30868i | −0.160911 | + | 0.278706i | −0.935196 | − | 0.354132i | \(-0.884776\pi\) |
0.774285 | + | 0.632837i | \(0.218110\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 6.50000 | − | 11.2583i | 0.418702 | − | 0.725213i | −0.577107 | − | 0.816668i | \(-0.695819\pi\) |
0.995809 | + | 0.0914555i | \(0.0291519\pi\) | |||||||
\(242\) | 4.23855 | + | 7.34138i | 0.272464 | + | 0.471922i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4.47710 | −0.286617 | ||||||||
\(245\) | 4.84362 | − | 10.0081i | 0.309448 | − | 0.639392i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 17.0760 | + | 29.5765i | 1.08652 | + | 1.88191i | ||||
\(248\) | −2.71201 | −0.172213 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 11.8764 | 0.751127 | ||||||||
\(251\) | −2.43268 | −0.153549 | −0.0767746 | − | 0.997048i | \(-0.524462\pi\) | ||||
−0.0767746 | + | 0.997048i | \(0.524462\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.477100 | −0.0299950 | ||||||||
\(254\) | −13.4400 | −0.843298 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −0.493810 | − | 0.855304i | −0.0308030 | − | 0.0533524i | 0.850213 | − | 0.526439i | \(-0.176473\pi\) |
−0.881016 | + | 0.473087i | \(0.843140\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.40545 | − | 2.24159i | −0.0873302 | − | 0.139286i | ||||
\(260\) | 7.64145 | 0.473902 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −1.58836 | − | 2.75113i | −0.0981295 | − | 0.169965i | ||||
\(263\) | 8.59269 | − | 14.8830i | 0.529848 | − | 0.917724i | −0.469545 | − | 0.882908i | \(-0.655582\pi\) |
0.999394 | − | 0.0348158i | \(-0.0110845\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 3.88255 | − | 6.72477i | 0.238503 | − | 0.413099i | ||||
\(266\) | 9.97710 | + | 15.9128i | 0.611735 | + | 0.975675i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −10.0531 | −0.614090 | ||||||||
\(269\) | −11.4523 | − | 19.8360i | −0.698262 | − | 1.20942i | −0.969069 | − | 0.246791i | \(-0.920624\pi\) |
0.270807 | − | 0.962634i | \(-0.412709\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 7.00364 | − | 12.1307i | 0.425441 | − | 0.736885i | −0.571021 | − | 0.820936i | \(-0.693452\pi\) |
0.996462 | + | 0.0840504i | \(0.0267857\pi\) | |||||||
\(272\) | 2.69963 | + | 4.67589i | 0.163689 | + | 0.283518i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −10.6316 | + | 18.4145i | −0.642279 | + | 1.11246i | ||||
\(275\) | 1.96727 | + | 3.40741i | 0.118631 | + | 0.205474i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −14.1476 | + | 24.5044i | −0.850049 | + | 1.47233i | 0.0311139 | + | 0.999516i | \(0.490095\pi\) |
−0.881163 | + | 0.472813i | \(0.843239\pi\) | |||||||
\(278\) | 6.52654 | − | 11.3043i | 0.391436 | − | 0.677987i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 4.19963 | − | 0.153051i | 0.250976 | − | 0.00914654i | ||||
\(281\) | 8.79782 | + | 15.2383i | 0.524834 | + | 0.909039i | 0.999582 | + | 0.0289175i | \(0.00920600\pi\) |
−0.474748 | + | 0.880122i | \(0.657461\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −18.5229 | −1.10107 | −0.550536 | − | 0.834811i | \(-0.685577\pi\) | ||||
−0.550536 | + | 0.834811i | \(0.685577\pi\) | |||||||
\(284\) | −12.7207 | −0.754833 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 3.82072 | + | 6.61769i | 0.225924 | + | 0.391312i | ||||
\(287\) | 8.25890 | + | 13.1724i | 0.487508 | + | 0.777541i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −6.07598 | + | 10.5239i | −0.357411 | + | 0.619054i | ||||
\(290\) | 6.57234 | − | 11.3836i | 0.385941 | − | 0.668470i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 8.02654 | + | 13.9024i | 0.469718 | + | 0.813575i | ||||
\(293\) | 7.04256 | − | 12.1981i | 0.411431 | − | 0.712619i | −0.583616 | − | 0.812030i | \(-0.698362\pi\) |
0.995046 | + | 0.0994108i | \(0.0316958\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.14400 | − | 8.90966i | −0.299495 | − | 0.518741i | ||||
\(296\) | 0.500000 | − | 0.866025i | 0.0290619 | − | 0.0503367i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 2.60439 | + | 4.51093i | 0.150868 | + | 0.261311i | ||||
\(299\) | 1.44506 | 0.0835698 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.40545 | + | 0.160552i | −0.253926 | + | 0.00925405i | ||||
\(302\) | 0.261450 | − | 0.452845i | 0.0150448 | − | 0.0260583i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −3.54944 | + | 6.14781i | −0.203574 | + | 0.352601i | ||||
\(305\) | −3.55563 | − | 6.15854i | −0.203595 | − | 0.352637i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.85532 | −0.334180 | −0.167090 | − | 0.985942i | \(-0.553437\pi\) | ||||
−0.167090 | + | 0.985942i | \(0.553437\pi\) | |||||||
\(308\) | 2.23236 | + | 3.56046i | 0.127201 | + | 0.202876i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.15383 | − | 3.73054i | −0.122329 | − | 0.211880i | ||||
\(311\) | −0.810892 | −0.0459815 | −0.0229907 | − | 0.999736i | \(-0.507319\pi\) | ||||
−0.0229907 | + | 0.999736i | \(0.507319\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.5760 | 0.597790 | 0.298895 | − | 0.954286i | \(-0.403382\pi\) | ||||
0.298895 | + | 0.954286i | \(0.403382\pi\) | |||||||
\(314\) | 8.86398 | 0.500223 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 8.38688 | 0.471799 | ||||||||
\(317\) | −12.1964 | −0.685018 | −0.342509 | − | 0.939515i | \(-0.611277\pi\) | ||||
−0.342509 | + | 0.939515i | \(0.611277\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 13.1447 | 0.735961 | ||||||||
\(320\) | 0.794182 | + | 1.37556i | 0.0443961 | + | 0.0768963i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.794182 | − | 0.0289431i | 0.0442580 | − | 0.00161294i | ||||
\(323\) | −38.3287 | −2.13267 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.95853 | − | 10.3205i | −0.330520 | − | 0.572477i | ||||
\(326\) | 10.9814 | − | 19.0204i | 0.608205 | − | 1.05344i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.93818 | + | 5.08907i | −0.162234 | + | 0.280997i | ||||
\(329\) | −3.30223 | + | 6.23345i | −0.182058 | + | 0.343661i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.6662 | −0.861093 | −0.430546 | − | 0.902568i | \(-0.641679\pi\) | ||||
−0.430546 | + | 0.902568i | \(0.641679\pi\) | |||||||
\(332\) | −1.18292 | − | 2.04887i | −0.0649211 | − | 0.112447i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.65019 | + | 2.85821i | −0.0902942 | + | 0.156394i | ||||
\(335\) | −7.98398 | − | 13.8287i | −0.436211 | − | 0.755540i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.21201 | + | 7.29541i | −0.229443 | + | 0.397406i | −0.957643 | − | 0.287958i | \(-0.907024\pi\) |
0.728200 | + | 0.685364i | \(0.240357\pi\) | |||||||
\(338\) | −5.07234 | − | 8.78555i | −0.275899 | − | 0.477871i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −4.28799 | + | 7.42702i | −0.232549 | + | 0.402787i | ||||
\(341\) | 2.15383 | − | 3.73054i | 0.116636 | − | 0.202020i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.4098 | + | 2.01993i | −0.994035 | + | 0.109066i | ||||
\(344\) | −0.833104 | − | 1.44298i | −0.0449179 | − | 0.0778002i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −19.1075 | −1.02723 | ||||||||
\(347\) | −0.567323 | −0.0304555 | −0.0152277 | − | 0.999884i | \(-0.504847\pi\) | ||||
−0.0152277 | + | 0.999884i | \(0.504847\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.00364189 | − | 0.00630794i | −0.000194946 | − | 0.000337656i | 0.865928 | − | 0.500169i | \(-0.166729\pi\) |
−0.866123 | + | 0.499831i | \(0.833395\pi\) | |||||||
\(350\) | −3.48143 | − | 5.55264i | −0.186090 | − | 0.296801i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.794182 | + | 1.37556i | −0.0423300 | + | 0.0733178i | ||||
\(353\) | 3.32691 | − | 5.76238i | 0.177074 | − | 0.306701i | −0.763803 | − | 0.645449i | \(-0.776670\pi\) |
0.940877 | + | 0.338748i | \(0.110004\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −10.1025 | − | 17.4981i | −0.536186 | − | 0.928702i | ||||
\(356\) | −1.60507 | + | 2.78007i | −0.0850688 | + | 0.147343i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 8.03706 | + | 13.9206i | 0.424772 | + | 0.735727i | ||||
\(359\) | 0.398568 | − | 0.690339i | 0.0210356 | − | 0.0364347i | −0.855316 | − | 0.518107i | \(-0.826637\pi\) |
0.876352 | + | 0.481672i | \(0.159970\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −15.6971 | − | 27.1881i | −0.826162 | − | 1.43095i | ||||
\(362\) | 8.05308 | 0.423261 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.76145 | − | 10.7840i | −0.354396 | − | 0.565237i | ||||
\(365\) | −12.7491 | + | 22.0820i | −0.667317 | + | 1.15583i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 7.71634 | − | 13.3651i | 0.402790 | − | 0.697652i | −0.591272 | − | 0.806472i | \(-0.701374\pi\) |
0.994061 | + | 0.108820i | \(0.0347073\pi\) | |||||||
\(368\) | 0.150186 | + | 0.260130i | 0.00782898 | + | 0.0135602i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 1.58836 | 0.0825751 | ||||||||
\(371\) | −12.9258 | + | 0.471067i | −0.671074 | + | 0.0244566i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.12110 | − | 8.87000i | −0.265160 | − | 0.459271i | 0.702445 | − | 0.711738i | \(-0.252092\pi\) |
−0.967606 | + | 0.252467i | \(0.918758\pi\) | |||||||
\(374\) | −8.57598 | −0.443454 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −2.66621 | −0.137499 | ||||||||
\(377\) | −39.8131 | −2.05048 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 25.0087 | 1.28461 | 0.642304 | − | 0.766450i | \(-0.277979\pi\) | ||||
0.642304 | + | 0.766450i | \(0.277979\pi\) | |||||||
\(380\) | −11.2756 | −0.578427 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 23.9629 | 1.22605 | ||||||||
\(383\) | −3.13348 | − | 5.42734i | −0.160113 | − | 0.277324i | 0.774796 | − | 0.632211i | \(-0.217853\pi\) |
−0.934909 | + | 0.354887i | \(0.884519\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.12474 | + | 5.89841i | −0.159251 | + | 0.300611i | ||||
\(386\) | 9.76509 | 0.497030 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.712008 | + | 1.23323i | 0.0361467 | + | 0.0626080i | ||||
\(389\) | −10.8171 | + | 18.7357i | −0.548448 | + | 0.949940i | 0.449933 | + | 0.893062i | \(0.351448\pi\) |
−0.998381 | + | 0.0568774i | \(0.981886\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −0.810892 | + | 1.40451i | −0.0410086 | + | 0.0710290i | ||||
\(392\) | −3.93199 | − | 5.79133i | −0.198595 | − | 0.292506i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 18.2436 | 0.919098 | ||||||||
\(395\) | 6.66071 | + | 11.5367i | 0.335137 | + | 0.580473i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 2.05308 | − | 3.55605i | 0.103041 | − | 0.178473i | −0.809895 | − | 0.586575i | \(-0.800476\pi\) |
0.912936 | + | 0.408102i | \(0.133809\pi\) | |||||||
\(398\) | 9.04944 | + | 15.6741i | 0.453608 | + | 0.785671i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.23855 | − | 2.14523i | 0.0619275 | − | 0.107262i | ||||
\(401\) | 8.37085 | + | 14.4987i | 0.418021 | + | 0.724033i | 0.995740 | − | 0.0922024i | \(-0.0293907\pi\) |
−0.577720 | + | 0.816235i | \(0.696057\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −6.52359 | + | 11.2992i | −0.324963 | + | 0.562853i | ||||
\(404\) | 6.01671 | − | 10.4212i | 0.299343 | − | 0.518476i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −21.8807 | + | 0.797418i | −1.08592 | + | 0.0395752i | ||||
\(407\) | 0.794182 | + | 1.37556i | 0.0393661 | + | 0.0681842i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −8.76509 | −0.433406 | −0.216703 | − | 0.976238i | \(-0.569530\pi\) | ||||
−0.216703 | + | 0.976238i | \(0.569530\pi\) | |||||||
\(410\) | −9.33379 | −0.460963 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 3.04944 | + | 5.28179i | 0.150235 | + | 0.260215i | ||||
\(413\) | −8.02221 | + | 15.1431i | −0.394747 | + | 0.745144i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.87890 | − | 3.25436i | 0.0922318 | − | 0.159750i | ||||
\(416\) | 2.40545 | − | 4.16635i | 0.117937 | − | 0.204272i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −5.63781 | − | 9.76497i | −0.275754 | − | 0.477620i | ||||
\(419\) | 0.210149 | − | 0.363988i | 0.0102664 | − | 0.0177820i | −0.860847 | − | 0.508865i | \(-0.830065\pi\) |
0.871113 | + | 0.491083i | \(0.163399\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.28799 | + | 5.69497i | 0.160247 | + | 0.277556i | 0.934957 | − | 0.354761i | \(-0.115438\pi\) |
−0.774710 | + | 0.632316i | \(0.782104\pi\) | |||||||
\(422\) | 0.166208 | − | 0.287880i | 0.00809086 | − | 0.0140138i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −2.44437 | − | 4.23377i | −0.118709 | − | 0.205610i | ||||
\(425\) | 13.3745 | 0.648758 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.54511 | + | 10.4672i | −0.268347 | + | 0.506544i | ||||
\(428\) | 1.54325 | − | 2.67299i | 0.0745959 | − | 0.129204i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.32327 | − | 2.29197i | 0.0638138 | − | 0.110529i | ||||
\(431\) | −11.0439 | − | 19.1287i | −0.531968 | − | 0.921395i | −0.999304 | − | 0.0373155i | \(-0.988119\pi\) |
0.467336 | − | 0.884080i | \(-0.345214\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −9.43268 | −0.453306 | −0.226653 | − | 0.973976i | \(-0.572778\pi\) | ||||
−0.226653 | + | 0.973976i | \(0.572778\pi\) | |||||||
\(434\) | −3.35896 | + | 6.34053i | −0.161235 | + | 0.304355i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.14400 | + | 1.98146i | 0.0547875 | + | 0.0948947i | ||||
\(437\) | −2.13231 | −0.102002 | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −31.2064 | −1.48940 | −0.744701 | − | 0.667398i | \(-0.767408\pi\) | ||||
−0.744701 | + | 0.667398i | \(0.767408\pi\) | |||||||
\(440\) | −2.52290 | −0.120275 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 25.9752 | 1.23552 | ||||||||
\(443\) | −13.0545 | −0.620236 | −0.310118 | − | 0.950698i | \(-0.600369\pi\) | ||||
−0.310118 | + | 0.950698i | \(0.600369\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.09888 | −0.241710 | ||||||||
\(446\) | 3.16621 | + | 5.48403i | 0.149924 | + | 0.259676i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1.23855 | − | 2.33795i | 0.0585160 | − | 0.110458i | ||||
\(449\) | 9.91706 | 0.468015 | 0.234008 | − | 0.972235i | \(-0.424816\pi\) | ||||
0.234008 | + | 0.972235i | \(0.424816\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −4.66690 | − | 8.08330i | −0.219756 | − | 0.380628i | ||||
\(452\) | 9.73236 | − | 16.8569i | 0.457772 | − | 0.792884i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −11.6545 | + | 20.1862i | −0.546974 | + | 0.947386i | ||||
\(455\) | 9.46431 | − | 17.8653i | 0.443694 | − | 0.837538i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −24.5229 | −1.14713 | −0.573566 | − | 0.819159i | \(-0.694441\pi\) | ||||
−0.573566 | + | 0.819159i | \(0.694441\pi\) | |||||||
\(458\) | 2.47710 | + | 4.29046i | 0.115747 | + | 0.200480i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.238550 | + | 0.413181i | −0.0111224 | + | 0.0192646i | ||||
\(461\) | −1.75526 | − | 3.04020i | −0.0817506 | − | 0.141596i | 0.822251 | − | 0.569125i | \(-0.192718\pi\) |
−0.904002 | + | 0.427528i | \(0.859384\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 8.69413 | − | 15.0587i | 0.404050 | − | 0.699836i | −0.590160 | − | 0.807286i | \(-0.700935\pi\) |
0.994210 | + | 0.107451i | \(0.0342687\pi\) | |||||||
\(464\) | −4.13781 | − | 7.16689i | −0.192093 | − | 0.332715i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 7.13781 | − | 12.3630i | 0.330652 | − | 0.572707i | ||||
\(467\) | −6.69894 | + | 11.6029i | −0.309990 | + | 0.536918i | −0.978360 | − | 0.206911i | \(-0.933659\pi\) |
0.668370 | + | 0.743829i | \(0.266992\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −12.4512 | + | 23.5036i | −0.574945 | + | 1.08529i | ||||
\(470\) | −2.11745 | − | 3.66754i | −0.0976709 | − | 0.169171i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −6.47710 | −0.298133 | ||||||||
\(473\) | 2.64654 | 0.121688 | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 8.79232 | + | 15.2287i | 0.403419 | + | 0.698743i | ||||
\(476\) | 14.2756 | − | 0.520259i | 0.654322 | − | 0.0238460i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.48762 | + | 4.30868i | −0.113781 | + | 0.197075i | ||||
\(479\) | 10.4029 | − | 18.0183i | 0.475321 | − | 0.823279i | −0.524280 | − | 0.851546i | \(-0.675665\pi\) |
0.999600 | + | 0.0282667i | \(0.00899876\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.40545 | − | 4.16635i | −0.109679 | − | 0.189969i | ||||
\(482\) | 6.50000 | − | 11.2583i | 0.296067 | − | 0.512803i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.23855 | + | 7.34138i | 0.192661 | + | 0.333699i | ||||
\(485\) | −1.13093 | + | 1.95882i | −0.0513528 | + | 0.0889456i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 16.2472 | + | 28.1410i | 0.736231 | + | 1.27519i | 0.954181 | + | 0.299230i | \(0.0967298\pi\) |
−0.217950 | + | 0.975960i | \(0.569937\pi\) | |||||||
\(488\) | −4.47710 | −0.202669 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.84362 | − | 10.0081i | 0.218813 | − | 0.452118i | ||||
\(491\) | 9.66071 | − | 16.7328i | 0.435982 | − | 0.755142i | −0.561394 | − | 0.827549i | \(-0.689735\pi\) |
0.997375 | + | 0.0724067i | \(0.0230679\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 22.3411 | − | 38.6959i | 1.00619 | − | 1.74277i | ||||
\(494\) | 17.0760 | + | 29.5765i | 0.768285 | + | 1.33071i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.71201 | −0.121773 | ||||||||
\(497\) | −15.7552 | + | 29.7402i | −0.706717 | + | 1.33403i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.57530 | + | 9.65670i | 0.249585 | + | 0.432293i | 0.963411 | − | 0.268030i | \(-0.0863726\pi\) |
−0.713826 | + | 0.700323i | \(0.753039\pi\) | |||||||
\(500\) | 11.8764 | 0.531127 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.43268 | −0.108576 | ||||||||
\(503\) | 40.7651 | 1.81763 | 0.908813 | − | 0.417204i | \(-0.136990\pi\) | ||||
0.908813 | + | 0.417204i | \(0.136990\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 19.1135 | 0.850537 | ||||||||
\(506\) | −0.477100 | −0.0212097 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −13.4400 | −0.596302 | ||||||||
\(509\) | 0.722528 | + | 1.25146i | 0.0320255 | + | 0.0554698i | 0.881594 | − | 0.472009i | \(-0.156471\pi\) |
−0.849568 | + | 0.527478i | \(0.823138\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 42.4443 | − | 1.54684i | 1.87762 | − | 0.0684280i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.493810 | − | 0.855304i | −0.0217810 | − | 0.0377259i | ||||
\(515\) | −4.84362 | + | 8.38940i | −0.213436 | + | 0.369681i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.11745 | − | 3.66754i | 0.0931255 | − | 0.161298i | ||||
\(518\) | −1.40545 | − | 2.24159i | −0.0617518 | − | 0.0984898i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 7.64145 | 0.335100 | ||||||||
\(521\) | −9.64214 | − | 16.7007i | −0.422430 | − | 0.731670i | 0.573747 | − | 0.819033i | \(-0.305489\pi\) |
−0.996177 | + | 0.0873630i | \(0.972156\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −18.3454 | + | 31.7752i | −0.802189 | + | 1.38943i | 0.115984 | + | 0.993251i | \(0.462998\pi\) |
−0.918173 | + | 0.396180i | \(0.870335\pi\) | |||||||
\(524\) | −1.58836 | − | 2.75113i | −0.0693880 | − | 0.120184i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 8.59269 | − | 14.8830i | 0.374659 | − | 0.648929i | ||||
\(527\) | −7.32141 | − | 12.6811i | −0.318926 | − | 0.552396i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4549 | − | 19.8404i | 0.498039 | − | 0.862628i | ||||
\(530\) | 3.88255 | − | 6.72477i | 0.168647 | − | 0.292105i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 9.97710 | + | 15.9128i | 0.432562 | + | 0.689907i | ||||
\(533\) | 14.1353 | + | 24.4830i | 0.612266 | + | 1.06048i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 4.90249 | 0.211953 | ||||||||
\(536\) | −10.0531 | −0.434227 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −11.4523 | − | 19.8360i | −0.493745 | − | 0.855192i | ||||
\(539\) | 11.0891 | − | 0.809332i | 0.477639 | − | 0.0348604i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.62543 | + | 2.81532i | −0.0698825 | + | 0.121040i | −0.898849 | − | 0.438258i | \(-0.855596\pi\) |
0.828967 | + | 0.559298i | \(0.188929\pi\) | |||||||
\(542\) | 7.00364 | − | 12.1307i | 0.300832 | − | 0.521057i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 2.69963 | + | 4.67589i | 0.115746 | + | 0.200477i | ||||
\(545\) | −1.81708 | + | 3.14728i | −0.0778352 | + | 0.134815i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.95853 | − | 5.12432i | −0.126498 | − | 0.219100i | 0.795820 | − | 0.605534i | \(-0.207040\pi\) |
−0.922317 | + | 0.386433i | \(0.873707\pi\) | |||||||
\(548\) | −10.6316 | + | 18.4145i | −0.454160 | + | 0.786628i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 1.96727 | + | 3.40741i | 0.0838846 | + | 0.145292i | ||||
\(551\) | 58.7476 | 2.50273 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 10.3876 | − | 19.6081i | 0.441724 | − | 0.833820i | ||||
\(554\) | −14.1476 | + | 24.5044i | −0.601076 | + | 1.04109i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 6.52654 | − | 11.3043i | 0.276787 | − | 0.479409i | ||||
\(557\) | −12.8040 | − | 22.1772i | −0.542523 | − | 0.939678i | −0.998758 | − | 0.0498188i | \(-0.984136\pi\) |
0.456235 | − | 0.889859i | \(-0.349198\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −8.01594 | −0.339038 | ||||||||
\(560\) | 4.19963 | − | 0.153051i | 0.177467 | − | 0.00646758i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 8.79782 | + | 15.2383i | 0.371114 | + | 0.642788i | ||||
\(563\) | 46.6377 | 1.96555 | 0.982773 | − | 0.184817i | \(-0.0591692\pi\) | ||||
0.982773 | + | 0.184817i | \(0.0591692\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 30.9171 | 1.30069 | ||||||||
\(566\) | −18.5229 | −0.778576 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −12.7207 | −0.533747 | ||||||||
\(569\) | −31.1978 | −1.30788 | −0.653939 | − | 0.756547i | \(-0.726885\pi\) | ||||
−0.653939 | + | 0.756547i | \(0.726885\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −15.6762 | −0.656030 | −0.328015 | − | 0.944672i | \(-0.606380\pi\) | ||||
−0.328015 | + | 0.944672i | \(0.606380\pi\) | |||||||
\(572\) | 3.82072 | + | 6.61769i | 0.159752 | + | 0.276699i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 8.25890 | + | 13.1724i | 0.344720 | + | 0.549804i | ||||
\(575\) | 0.744051 | 0.0310291 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.99567 | + | 12.1169i | 0.291234 | + | 0.504431i | 0.974102 | − | 0.226110i | \(-0.0726010\pi\) |
−0.682868 | + | 0.730542i | \(0.739268\pi\) | |||||||
\(578\) | −6.07598 | + | 10.5239i | −0.252728 | + | 0.437737i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 6.57234 | − | 11.3836i | 0.272902 | − | 0.472680i | ||||
\(581\) | −6.25526 | + | 0.227966i | −0.259512 | + | 0.00945763i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.76509 | 0.321597 | ||||||||
\(584\) | 8.02654 | + | 13.9024i | 0.332141 | + | 0.575285i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.04256 | − | 12.1981i | 0.290926 | − | 0.503898i | ||||
\(587\) | −1.44801 | − | 2.50803i | −0.0597658 | − | 0.103517i | 0.834594 | − | 0.550865i | \(-0.185702\pi\) |
−0.894360 | + | 0.447348i | \(0.852369\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 9.62612 | − | 16.6729i | 0.396637 | − | 0.686996i | ||||
\(590\) | −5.14400 | − | 8.90966i | −0.211775 | − | 0.366805i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.500000 | − | 0.866025i | 0.0205499 | − | 0.0355934i | ||||
\(593\) | 2.04394 | − | 3.54021i | 0.0839346 | − | 0.145379i | −0.821002 | − | 0.570925i | \(-0.806585\pi\) |
0.904937 | + | 0.425546i | \(0.139918\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 12.0531 | + | 19.2238i | 0.494128 | + | 0.788100i | ||||
\(596\) | 2.60439 | + | 4.51093i | 0.106680 | + | 0.184775i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 1.44506 | 0.0590928 | ||||||||
\(599\) | 19.7651 | 0.807580 | 0.403790 | − | 0.914852i | \(-0.367693\pi\) | ||||
0.403790 | + | 0.914852i | \(0.367693\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13.4320 | − | 23.2649i | −0.547902 | − | 0.948994i | −0.998418 | − | 0.0562261i | \(-0.982093\pi\) |
0.450516 | − | 0.892768i | \(-0.351240\pi\) | |||||||
\(602\) | −4.40545 | + | 0.160552i | −0.179553 | + | 0.00654360i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.261450 | − | 0.452845i | 0.0106383 | − | 0.0184260i | ||||
\(605\) | −6.73236 | + | 11.6608i | −0.273709 | + | 0.474079i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.62110 | + | 13.2001i | 0.309331 | + | 0.535777i | 0.978216 | − | 0.207589i | \(-0.0665617\pi\) |
−0.668885 | + | 0.743366i | \(0.733228\pi\) | |||||||
\(608\) | −3.54944 | + | 6.14781i | −0.143949 | + | 0.249327i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.55563 | − | 6.15854i | −0.143963 | − | 0.249352i | ||||
\(611\) | −6.41342 | + | 11.1084i | −0.259459 | + | 0.449396i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1.36033 | − | 2.35617i | −0.0549434 | − | 0.0951648i | 0.837246 | − | 0.546827i | \(-0.184165\pi\) |
−0.892189 | + | 0.451662i | \(0.850831\pi\) | |||||||
\(614\) | −5.85532 | −0.236301 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 2.23236 | + | 3.56046i | 0.0899444 | + | 0.143455i | ||||
\(617\) | 9.21812 | − | 15.9663i | 0.371108 | − | 0.642777i | −0.618629 | − | 0.785684i | \(-0.712311\pi\) |
0.989736 | + | 0.142906i | \(0.0456448\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.0537728 | + | 0.0931373i | −0.00216131 | + | 0.00374350i | −0.867104 | − | 0.498127i | \(-0.834021\pi\) |
0.864943 | + | 0.501871i | \(0.167355\pi\) | |||||||
\(620\) | −2.15383 | − | 3.73054i | −0.0864998 | − | 0.149822i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.810892 | −0.0325138 | ||||||||
\(623\) | 4.51169 | + | 7.19583i | 0.180757 | + | 0.288295i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 3.23924 | + | 5.61053i | 0.129570 | + | 0.224421i | ||||
\(626\) | 10.5760 | 0.422701 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.86398 | 0.353711 | ||||||||
\(629\) | 5.39926 | 0.215282 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 35.7266 | 1.42225 | 0.711126 | − | 0.703064i | \(-0.248185\pi\) | ||||
0.711126 | + | 0.703064i | \(0.248185\pi\) | |||||||
\(632\) | 8.38688 | 0.333612 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −12.1964 | −0.484381 | ||||||||
\(635\) | −10.6738 | − | 18.4875i | −0.423576 | − | 0.733655i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −33.5869 | + | 2.45133i | −1.33076 | + | 0.0971254i | ||||
\(638\) | 13.1447 | 0.520403 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.794182 | + | 1.37556i | 0.0313928 | + | 0.0543739i | ||||
\(641\) | 8.65638 | − | 14.9933i | 0.341906 | − | 0.592199i | −0.642880 | − | 0.765967i | \(-0.722261\pi\) |
0.984787 | + | 0.173767i | \(0.0555941\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 14.4821 | − | 25.0838i | 0.571119 | − | 0.989207i | −0.425332 | − | 0.905037i | \(-0.639843\pi\) |
0.996451 | − | 0.0841700i | \(-0.0268239\pi\) | |||||||
\(644\) | 0.794182 | − | 0.0289431i | 0.0312952 | − | 0.00114052i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −38.3287 | −1.50802 | ||||||||
\(647\) | −1.27816 | − | 2.21384i | −0.0502497 | − | 0.0870350i | 0.839807 | − | 0.542886i | \(-0.182668\pi\) |
−0.890056 | + | 0.455851i | \(0.849335\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 5.14400 | − | 8.90966i | 0.201920 | − | 0.349735i | ||||
\(650\) | −5.95853 | − | 10.3205i | −0.233713 | − | 0.404802i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.9814 | − | 19.0204i | 0.430066 | − | 0.744896i | ||||
\(653\) | 14.9883 | + | 25.9605i | 0.586538 | + | 1.01591i | 0.994682 | + | 0.102996i | \(0.0328428\pi\) |
−0.408144 | + | 0.912918i | \(0.633824\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.52290 | − | 4.36979i | 0.0985779 | − | 0.170742i | ||||
\(656\) | −2.93818 | + | 5.08907i | −0.114717 | + | 0.198695i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.30223 | + | 6.23345i | −0.128734 | + | 0.243005i | ||||
\(659\) | 7.63162 | + | 13.2183i | 0.297286 | + | 0.514914i | 0.975514 | − | 0.219937i | \(-0.0705853\pi\) |
−0.678228 | + | 0.734851i | \(0.737252\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −27.2522 | −1.05999 | −0.529994 | − | 0.848001i | \(-0.677806\pi\) | ||||
−0.529994 | + | 0.848001i | \(0.677806\pi\) | |||||||
\(662\) | −15.6662 | −0.608884 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −1.18292 | − | 2.04887i | −0.0459061 | − | 0.0795117i | ||||
\(665\) | −13.9654 | + | 26.3618i | −0.541555 | + | 1.02227i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1.24288 | − | 2.15273i | 0.0481245 | − | 0.0833541i | ||||
\(668\) | −1.65019 | + | 2.85821i | −0.0638476 | + | 0.110587i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.98398 | − | 13.8287i | −0.308448 | − | 0.534248i | ||||
\(671\) | 3.55563 | − | 6.15854i | 0.137264 | − | 0.237748i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 23.2280 | + | 40.2320i | 0.895372 | + | 1.55083i | 0.833344 | + | 0.552755i | \(0.186423\pi\) |
0.0620280 | + | 0.998074i | \(0.480243\pi\) | |||||||
\(674\) | −4.21201 | + | 7.29541i | −0.162240 | + | 0.281009i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.07234 | − | 8.78555i | −0.195090 | − | 0.337906i | ||||
\(677\) | −5.09888 | −0.195966 | −0.0979830 | − | 0.995188i | \(-0.531239\pi\) | ||||
−0.0979830 | + | 0.995188i | \(0.531239\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.76509 | − | 0.137215i | 0.144491 | − | 0.00526582i | ||||
\(680\) | −4.28799 | + | 7.42702i | −0.164437 | + | 0.284813i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.15383 | − | 3.73054i | 0.0824743 | − | 0.142850i | ||||
\(683\) | 7.77197 | + | 13.4614i | 0.297386 | + | 0.515088i | 0.975537 | − | 0.219835i | \(-0.0705518\pi\) |
−0.678151 | + | 0.734923i | \(0.737218\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −33.7738 | −1.29043 | ||||||||
\(686\) | −18.4098 | + | 2.01993i | −0.702889 | + | 0.0771213i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −0.833104 | − | 1.44298i | −0.0317618 | − | 0.0550130i | ||||
\(689\) | −23.5192 | −0.896009 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 23.2967 | 0.886246 | 0.443123 | − | 0.896461i | \(-0.353870\pi\) | ||||
0.443123 | + | 0.896461i | \(0.353870\pi\) | |||||||
\(692\) | −19.1075 | −0.726360 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −0.567323 | −0.0215353 | ||||||||
\(695\) | 20.7330 | 0.786449 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −31.7280 | −1.20178 | ||||||||
\(698\) | −0.00364189 | − | 0.00630794i | −0.000137848 | − | 0.000238759i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −3.48143 | − | 5.55264i | −0.131586 | − | 0.209870i | ||||
\(701\) | 45.6464 | 1.72404 | 0.862020 | − | 0.506874i | \(-0.169199\pi\) | ||||
0.862020 | + | 0.506874i | \(0.169199\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3.54944 | + | 6.14781i | 0.133870 | + | 0.231869i | ||||
\(704\) | −0.794182 | + | 1.37556i | −0.0299319 | + | 0.0518435i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 3.32691 | − | 5.76238i | 0.125210 | − | 0.216870i | ||||
\(707\) | −16.9123 | − | 26.9740i | −0.636053 | − | 1.01446i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 18.0014 | 0.676056 | 0.338028 | − | 0.941136i | \(-0.390240\pi\) | ||||
0.338028 | + | 0.941136i | \(0.390240\pi\) | |||||||
\(710\) | −10.1025 | − | 17.4981i | −0.379141 | − | 0.656692i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −1.60507 | + | 2.78007i | −0.0601527 | + | 0.104188i | ||||
\(713\) | −0.407305 | − | 0.705474i | −0.0152537 | − | 0.0264202i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −6.06870 | + | 10.5113i | −0.226957 | + | 0.393100i | ||||
\(716\) | 8.03706 | + | 13.9206i | 0.300359 | + | 0.520237i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0.398568 | − | 0.690339i | 0.0148744 | − | 0.0257632i | ||||
\(719\) | −18.4389 | + | 31.9371i | −0.687654 | + | 1.19105i | 0.284941 | + | 0.958545i | \(0.408026\pi\) |
−0.972595 | + | 0.232506i | \(0.925307\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 16.1254 | − | 0.587674i | 0.600542 | − | 0.0218861i | ||||
\(722\) | −15.6971 | − | 27.1881i | −0.584185 | − | 1.01184i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 8.05308 | 0.299291 | ||||||||
\(725\) | −20.4995 | −0.761333 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 15.2429 | + | 26.4014i | 0.565327 | + | 0.979175i | 0.997019 | + | 0.0771543i | \(0.0245834\pi\) |
−0.431692 | + | 0.902021i | \(0.642083\pi\) | |||||||
\(728\) | −6.76145 | − | 10.7840i | −0.250596 | − | 0.399683i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −12.7491 | + | 22.0820i | −0.471864 | + | 0.817293i | ||||
\(731\) | 4.49814 | − | 7.79101i | 0.166370 | − | 0.288161i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.07530 | − | 5.32657i | −0.113589 | − | 0.196741i | 0.803626 | − | 0.595135i | \(-0.202901\pi\) |
−0.917215 | + | 0.398393i | \(0.869568\pi\) | |||||||
\(734\) | 7.71634 | − | 13.3651i | 0.284815 | − | 0.493314i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.150186 | + | 0.260130i | 0.00553593 | + | 0.00958851i | ||||
\(737\) | 7.98398 | − | 13.8287i | 0.294094 | − | 0.509385i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.3912 | − | 35.3186i | −0.750103 | − | 1.29922i | −0.947772 | − | 0.318947i | \(-0.896671\pi\) |
0.197670 | − | 0.980269i | \(-0.436663\pi\) | |||||||
\(740\) | 1.58836 | 0.0583894 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −12.9258 | + | 0.471067i | −0.474521 | + | 0.0172934i | ||||
\(743\) | −7.25271 | + | 12.5621i | −0.266076 | + | 0.460858i | −0.967845 | − | 0.251547i | \(-0.919061\pi\) |
0.701769 | + | 0.712405i | \(0.252394\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.13671 | + | 7.16500i | −0.151557 | + | 0.262505i | ||||
\(746\) | −5.12110 | − | 8.87000i | −0.187497 | − | 0.324754i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.57598 | −0.313569 | ||||||||
\(749\) | −4.33792 | − | 6.91867i | −0.158504 | − | 0.252803i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.09455 | − | 3.62787i | −0.0764314 | − | 0.132383i | 0.825276 | − | 0.564729i | \(-0.191019\pi\) |
−0.901708 | + | 0.432346i | \(0.857686\pi\) | |||||||
\(752\) | −2.66621 | −0.0972266 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −39.8131 | −1.44991 | ||||||||
\(755\) | 0.830556 | 0.0302270 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.38688 | 0.0867525 | 0.0433763 | − | 0.999059i | \(-0.486189\pi\) | ||||
0.0433763 | + | 0.999059i | \(0.486189\pi\) | |||||||
\(758\) | 25.0087 | 0.908355 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −11.2756 | −0.409009 | ||||||||
\(761\) | 1.81708 | + | 3.14728i | 0.0658692 | + | 0.114089i | 0.897079 | − | 0.441870i | \(-0.145685\pi\) |
−0.831210 | + | 0.555959i | \(0.812351\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.04944 | − | 0.220465i | 0.219005 | − | 0.00798138i | ||||
\(764\) | 23.9629 | 0.866946 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −3.13348 | − | 5.42734i | −0.113217 | − | 0.196098i | ||||
\(767\) | −15.5803 | + | 26.9859i | −0.562573 | + | 0.974404i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −19.9672 | + | 34.5842i | −0.720035 | + | 1.24714i | 0.240950 | + | 0.970538i | \(0.422541\pi\) |
−0.960985 | + | 0.276600i | \(0.910792\pi\) | |||||||
\(770\) | −3.12474 | + | 5.89841i | −0.112608 | + | 0.212564i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 9.76509 | 0.351453 | ||||||||
\(773\) | −18.0698 | − | 31.2978i | −0.649925 | − | 1.12570i | −0.983140 | − | 0.182853i | \(-0.941467\pi\) |
0.333215 | − | 0.942851i | \(-0.391867\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.35896 | + | 5.81788i | −0.120657 | + | 0.208985i | ||||
\(776\) | 0.712008 | + | 1.23323i | 0.0255596 | + | 0.0442705i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −10.8171 | + | 18.7357i | −0.387811 | + | 0.671709i | ||||
\(779\) | −20.8578 | − | 36.1267i | −0.747308 | − | 1.29438i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 10.1025 | − | 17.4981i | 0.361497 | − | 0.626131i | ||||
\(782\) | −0.810892 | + | 1.40451i | −0.0289974 | + | 0.0502251i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −3.93199 | − | 5.79133i | −0.140428 | − | 0.206833i | ||||
\(785\) | 7.03961 | + | 12.1930i | 0.251254 | + | 0.435186i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −44.6377 | −1.59116 | −0.795582 | − | 0.605846i | \(-0.792835\pi\) | ||||
−0.795582 | + | 0.605846i | \(0.792835\pi\) | |||||||
\(788\) | 18.2436 | 0.649900 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 6.66071 | + | 11.5367i | 0.236977 | + | 0.410457i | ||||
\(791\) | −27.3566 | − | 43.6319i | −0.972689 | − | 1.55137i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −10.7694 | + | 18.6532i | −0.382433 | + | 0.662394i | ||||
\(794\) | 2.05308 | − | 3.55605i | 0.0728612 | − | 0.126199i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.04944 | + | 15.6741i | 0.320749 | + | 0.555554i | ||||
\(797\) | −26.2836 | + | 45.5245i | −0.931012 | + | 1.61256i | −0.149418 | + | 0.988774i | \(0.547740\pi\) |
−0.781595 | + | 0.623786i | \(0.785593\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −7.19777 | − | 12.4669i | −0.254639 | − | 0.441047i | ||||
\(800\) | 1.23855 | − | 2.14523i | 0.0437894 | − | 0.0758454i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.37085 | + | 14.4987i | 0.295585 | + | 0.511969i | ||||
\(803\) | −25.4981 | −0.899810 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0.670538 | + | 1.06946i | 0.0236334 | + | 0.0376936i | ||||
\(806\) | −6.52359 | + | 11.2992i | −0.229784 | + | 0.397997i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.01671 | − | 10.4212i | 0.211667 | − | 0.366618i | ||||
\(809\) | −7.40290 | − | 12.8222i | −0.260272 | − | 0.450804i | 0.706042 | − | 0.708170i | \(-0.250479\pi\) |
−0.966314 | + | 0.257365i | \(0.917146\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 27.0704 | 0.950571 | 0.475285 | − | 0.879832i | \(-0.342345\pi\) | ||||
0.475285 | + | 0.879832i | \(0.342345\pi\) | |||||||
\(812\) | −21.8807 | + | 0.797418i | −0.767862 | + | 0.0279839i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0.794182 | + | 1.37556i | 0.0278361 | + | 0.0482135i | ||||
\(815\) | 34.8850 | 1.22197 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.8282 | 0.413817 | ||||||||
\(818\) | −8.76509 | −0.306464 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −9.33379 | −0.325950 | ||||||||
\(821\) | −43.8182 | −1.52926 | −0.764632 | − | 0.644467i | \(-0.777079\pi\) | ||||
−0.764632 | + | 0.644467i | \(0.777079\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 31.3425 | 1.09253 | 0.546265 | − | 0.837613i | \(-0.316049\pi\) | ||||
0.546265 | + | 0.837613i | \(0.316049\pi\) | |||||||
\(824\) | 3.04944 | + | 5.28179i | 0.106232 | + | 0.184000i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −8.02221 | + | 15.1431i | −0.279128 | + | 0.526896i | ||||
\(827\) | 14.7665 | 0.513480 | 0.256740 | − | 0.966480i | \(-0.417352\pi\) | ||||
0.256740 | + | 0.966480i | \(0.417352\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −15.0036 | − | 25.9871i | −0.521098 | − | 0.902568i | −0.999699 | − | 0.0245357i | \(-0.992189\pi\) |
0.478601 | − | 0.878033i | \(-0.341144\pi\) | |||||||
\(830\) | 1.87890 | − | 3.25436i | 0.0652177 | − | 0.112960i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 2.40545 | − | 4.16635i | 0.0833938 | − | 0.144442i | ||||
\(833\) | 16.4647 | − | 34.0200i | 0.570469 | − | 1.17872i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.24219 | −0.181414 | ||||||||
\(836\) | −5.63781 | − | 9.76497i | −0.194988 | − | 0.337728i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.210149 | − | 0.363988i | 0.00725946 | − | 0.0125738i | ||||
\(839\) | −18.0167 | − | 31.2059i | −0.622006 | − | 1.07735i | −0.989112 | − | 0.147167i | \(-0.952985\pi\) |
0.367106 | − | 0.930179i | \(-0.380349\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −19.7429 | + | 34.1957i | −0.680789 | + | 1.17916i | ||||
\(842\) | 3.28799 | + | 5.69497i | 0.113312 | + | 0.196262i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0.166208 | − | 0.287880i | 0.00572110 | − | 0.00990923i | ||||
\(845\) | 8.05673 | − | 13.9547i | 0.277160 | − | 0.480055i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 22.4134 | − | 0.816833i | 0.770134 | − | 0.0280667i | ||||
\(848\) | −2.44437 | − | 4.23377i | −0.0839399 | − | 0.145388i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 13.3745 | 0.458741 | ||||||||
\(851\) | 0.300372 | 0.0102966 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −12.2658 | − | 21.2450i | −0.419972 | − | 0.727413i | 0.575964 | − | 0.817475i | \(-0.304627\pi\) |
−0.995936 | + | 0.0900617i | \(0.971294\pi\) | |||||||
\(854\) | −5.54511 | + | 10.4672i | −0.189750 | + | 0.358181i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 1.54325 | − | 2.67299i | 0.0527473 | − | 0.0913610i | ||||
\(857\) | 14.5240 | − | 25.1563i | 0.496130 | − | 0.859323i | −0.503860 | − | 0.863785i | \(-0.668087\pi\) |
0.999990 | + | 0.00446273i | \(0.00142053\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −12.6476 | − | 21.9064i | −0.431532 | − | 0.747435i | 0.565474 | − | 0.824766i | \(-0.308693\pi\) |
−0.997005 | + | 0.0773313i | \(0.975360\pi\) | |||||||
\(860\) | 1.32327 | − | 2.29197i | 0.0451232 | − | 0.0781557i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −11.0439 | − | 19.1287i | −0.376158 | − | 0.651525i | ||||
\(863\) | 1.34981 | − | 2.33795i | 0.0459482 | − | 0.0795846i | −0.842137 | − | 0.539264i | \(-0.818702\pi\) |
0.888085 | + | 0.459680i | \(0.152036\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −15.1749 | − | 26.2836i | −0.515961 | − | 0.893671i | ||||
\(866\) | −9.43268 | −0.320535 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.35896 | + | 6.34053i | −0.114010 | + | 0.215212i | ||||
\(869\) | −6.66071 | + | 11.5367i | −0.225949 | + | 0.391355i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −24.1822 | + | 41.8847i | −0.819381 | + | 1.41921i | ||||
\(872\) | 1.14400 | + | 1.98146i | 0.0387406 | + | 0.0671007i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.13231 | −0.0721263 | ||||||||
\(875\) | 14.7095 | − | 27.7663i | 0.497271 | − | 0.938672i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 5.54580 | + | 9.60561i | 0.187268 | + | 0.324358i | 0.944339 | − | 0.328975i | \(-0.106703\pi\) |
−0.757070 | + | 0.653334i | \(0.773370\pi\) | |||||||
\(878\) | −31.2064 | −1.05317 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −2.52290 | −0.0850469 | ||||||||
\(881\) | 40.3942 | 1.36091 | 0.680457 | − | 0.732788i | \(-0.261781\pi\) | ||||
0.680457 | + | 0.732788i | \(0.261781\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −33.2581 | −1.11923 | −0.559613 | − | 0.828754i | \(-0.689050\pi\) | ||||
−0.559613 | + | 0.828754i | \(0.689050\pi\) | |||||||
\(884\) | 25.9752 | 0.873642 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −13.0545 | −0.438573 | ||||||||
\(887\) | 20.2836 | + | 35.1322i | 0.681056 | + | 1.17962i | 0.974659 | + | 0.223696i | \(0.0718124\pi\) |
−0.293603 | + | 0.955928i | \(0.594854\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −16.6461 | + | 31.4219i | −0.558291 | + | 1.05386i | ||||
\(890\) | −5.09888 | −0.170915 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 3.16621 | + | 5.48403i | 0.106012 | + | 0.183619i | ||||
\(893\) | 9.46355 | − | 16.3913i | 0.316686 | − | 0.548516i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.7658 | + | 22.1110i | −0.426713 | + | 0.739089i | ||||
\(896\) | 1.23855 | − | 2.33795i | 0.0413770 | − | 0.0781053i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 9.91706 | 0.330937 | ||||||||
\(899\) | 11.2218 | + | 19.4367i | 0.374267 | + | 0.648249i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 13.1978 | − | 22.8592i | 0.439681 | − | 0.761551i | ||||
\(902\) | −4.66690 | − | 8.08330i | −0.155391 | − | 0.269144i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 9.73236 | − | 16.8569i | 0.323693 | − | 0.560654i | ||||
\(905\) | 6.39561 | + | 11.0775i | 0.212597 | + | 0.368230i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −15.0567 | + | 26.0790i | −0.499950 | + | 0.865939i | −1.00000 | 5.72941e-5i | \(-0.999982\pi\) | |
0.500050 | + | 0.865997i | \(0.333315\pi\) | |||||||
\(908\) | −11.6545 | + | 20.1862i | −0.386769 | + | 0.669903i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 9.46431 | − | 17.8653i | 0.313739 | − | 0.592229i | ||||
\(911\) | −14.6113 | − | 25.3075i | −0.484093 | − | 0.838473i | 0.515740 | − | 0.856745i | \(-0.327517\pi\) |
−0.999833 | + | 0.0182717i | \(0.994184\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.75781 | 0.124365 | ||||||||
\(914\) | −24.5229 | −0.811145 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 2.47710 | + | 4.29046i | 0.0818457 | + | 0.141761i | ||||
\(917\) | −8.39926 | + | 0.306102i | −0.277368 | + | 0.0101084i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −5.52359 | + | 9.56714i | −0.182206 | + | 0.315591i | −0.942632 | − | 0.333835i | \(-0.891657\pi\) |
0.760425 | + | 0.649426i | \(0.224991\pi\) | |||||||
\(920\) | −0.238550 | + | 0.413181i | −0.00786476 | + | 0.0136222i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.75526 | − | 3.04020i | −0.0578064 | − | 0.100124i | ||||
\(923\) | −30.5989 | + | 52.9988i | −1.00717 | + | 1.74448i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.23855 | − | 2.14523i | −0.0407233 | − | 0.0705348i | ||||
\(926\) | 8.69413 | − | 15.0587i | 0.285707 | − | 0.494859i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −4.13781 | − | 7.16689i | −0.135830 | − | 0.235265i | ||||
\(929\) | 42.3338 | 1.38893 | 0.694463 | − | 0.719528i | \(-0.255642\pi\) | ||||
0.694463 | + | 0.719528i | \(0.255642\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 49.5604 | − | 3.61715i | 1.62428 | − | 0.118547i | ||||
\(932\) | 7.13781 | − | 12.3630i | 0.233807 | − | 0.404965i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −6.69894 | + | 11.6029i | −0.219196 | + | 0.379659i | ||||
\(935\) | −6.81089 | − | 11.7968i | −0.222740 | − | 0.385797i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11.7651 | −0.384349 | −0.192174 | − | 0.981361i | \(-0.561554\pi\) | ||||
−0.192174 | + | 0.981361i | \(0.561554\pi\) | |||||||
\(938\) | −12.4512 | + | 23.5036i | −0.406548 | + | 0.767419i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −2.11745 | − | 3.66754i | −0.0690637 | − | 0.119622i | ||||
\(941\) | −14.5760 | −0.475164 | −0.237582 | − | 0.971368i | \(-0.576355\pi\) | ||||
−0.237582 | + | 0.971368i | \(0.576355\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1.76509 | −0.0574793 | ||||||||
\(944\) | −6.47710 | −0.210812 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 2.64654 | 0.0860466 | ||||||||
\(947\) | −6.24357 | −0.202889 | −0.101444 | − | 0.994841i | \(-0.532346\pi\) | ||||
−0.101444 | + | 0.994841i | \(0.532346\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 77.2297 | 2.50698 | ||||||||
\(950\) | 8.79232 | + | 15.2287i | 0.285261 | + | 0.494086i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 14.2756 | − | 0.520259i | 0.462675 | − | 0.0168617i | ||||
\(953\) | −28.0173 | −0.907570 | −0.453785 | − | 0.891111i | \(-0.649927\pi\) | ||||
−0.453785 | + | 0.891111i | \(0.649927\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 19.0309 | + | 32.9624i | 0.615825 | + | 1.06664i | ||||
\(956\) | −2.48762 | + | 4.30868i | −0.0804554 | + | 0.139353i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 10.4029 | − | 18.0183i | 0.336102 | − | 0.582146i | ||||
\(959\) | 29.8843 | + | 47.6634i | 0.965015 | + | 1.53913i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −23.6450 | −0.762742 | ||||||||
\(962\) | −2.40545 | − | 4.16635i | −0.0775547 | − | 0.134329i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 6.50000 | − | 11.2583i | 0.209351 | − | 0.362606i | ||||
\(965\) | 7.75526 | + | 13.4325i | 0.249651 | + | 0.432408i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.7837 | − | 27.3381i | 0.507568 | − | 0.879134i | −0.492393 | − | 0.870373i | \(-0.663878\pi\) |
0.999962 | − | 0.00876132i | \(-0.00278885\pi\) | |||||||
\(968\) | 4.23855 | + | 7.34138i | 0.136232 | + | 0.235961i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1.13093 | + | 1.95882i | −0.0363119 | + | 0.0628941i | ||||
\(971\) | −2.82141 | + | 4.88683i | −0.0905434 | + | 0.156826i | −0.907740 | − | 0.419533i | \(-0.862194\pi\) |
0.817196 | + | 0.576359i | \(0.195527\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −18.3454 | − | 29.2596i | −0.588127 | − | 0.938021i | ||||
\(974\) | 16.2472 | + | 28.1410i | 0.520594 | + | 0.901696i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −4.47710 | −0.143308 | ||||||||
\(977\) | −6.49304 | −0.207731 | −0.103865 | − | 0.994591i | \(-0.533121\pi\) | ||||
−0.103865 | + | 0.994591i | \(0.533121\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −2.54944 | − | 4.41576i | −0.0814805 | − | 0.141128i | ||||
\(980\) | 4.84362 | − | 10.0081i | 0.154724 | − | 0.319696i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.66071 | − | 16.7328i | 0.308286 | − | 0.533966i | ||||
\(983\) | −15.1531 | + | 26.2460i | −0.483310 | + | 0.837118i | −0.999816 | − | 0.0191658i | \(-0.993899\pi\) |
0.516506 | + | 0.856283i | \(0.327232\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 14.4887 | + | 25.0952i | 0.461649 | + | 0.799599i | ||||
\(986\) | 22.3411 | − | 38.6959i | 0.711485 | − | 1.23233i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 17.0760 | + | 29.5765i | 0.543259 | + | 0.940953i | ||||
\(989\) | 0.250241 | − | 0.433430i | 0.00795720 | − | 0.0137823i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 11.1669 | + | 19.3416i | 0.354728 | + | 0.614407i | 0.987071 | − | 0.160281i | \(-0.0512401\pi\) |
−0.632343 | + | 0.774688i | \(0.717907\pi\) | |||||||
\(992\) | −2.71201 | −0.0861063 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −15.7552 | + | 29.7402i | −0.499724 | + | 0.943303i | ||||
\(995\) | −14.3738 | + | 24.8962i | −0.455680 | + | 0.789262i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.38255 | − | 7.59079i | 0.138797 | − | 0.240403i | −0.788245 | − | 0.615362i | \(-0.789010\pi\) |
0.927041 | + | 0.374959i | \(0.122343\pi\) | |||||||
\(998\) | 5.57530 | + | 9.65670i | 0.176483 | + | 0.305677i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))