Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [931,2,Mod(177,931)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(931, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([6, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("931.177");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 931 = 7^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 931.v (of order \(9\), degree \(6\), 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: | \(7.43407242818\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 214.1 | ||
Root | \(-0.173648 + 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 931.214 |
Dual form | 931.2.v.b.422.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/931\mathbb{Z}\right)^\times\).
\(n\) | \(248\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.673648 | + | 0.565258i | 0.476341 | + | 0.399698i | 0.849101 | − | 0.528230i | \(-0.177144\pi\) |
−0.372760 | + | 0.927928i | \(0.621589\pi\) | |||||||
\(3\) | 0.407604 | + | 0.342020i | 0.235330 | + | 0.197465i | 0.752825 | − | 0.658221i | \(-0.228691\pi\) |
−0.517495 | + | 0.855686i | \(0.673135\pi\) | |||||||
\(4\) | −0.213011 | − | 1.20805i | −0.106506 | − | 0.604023i | ||||
\(5\) | −0.439693 | + | 2.49362i | −0.196637 | + | 1.11518i | 0.713432 | + | 0.700724i | \(0.247140\pi\) |
−0.910069 | + | 0.414457i | \(0.863972\pi\) | |||||||
\(6\) | 0.0812519 | + | 0.460802i | 0.0331710 | + | 0.188122i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.41875 | − | 2.45734i | 0.501603 | − | 0.868802i | ||||
\(9\) | −0.471782 | − | 2.67561i | −0.157261 | − | 0.891869i | ||||
\(10\) | −1.70574 | + | 1.43128i | −0.539401 | + | 0.452612i | ||||
\(11\) | −1.70574 | − | 2.95442i | −0.514299 | − | 0.890792i | −0.999862 | − | 0.0165906i | \(-0.994719\pi\) |
0.485563 | − | 0.874202i | \(-0.338615\pi\) | |||||||
\(12\) | 0.326352 | − | 0.565258i | 0.0942097 | − | 0.163176i | ||||
\(13\) | −0.918748 | − | 5.21048i | −0.254815 | − | 1.44513i | −0.796547 | − | 0.604576i | \(-0.793343\pi\) |
0.541733 | − | 0.840551i | \(-0.317769\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.03209 | + | 0.866025i | −0.266484 | + | 0.223607i | ||||
\(16\) | 0.0393628 | − | 0.0143269i | 0.00984071 | − | 0.00358173i | ||||
\(17\) | 0.286989 | − | 1.62760i | 0.0696051 | − | 0.394750i | −0.930024 | − | 0.367500i | \(-0.880214\pi\) |
0.999629 | − | 0.0272501i | \(-0.00867503\pi\) | |||||||
\(18\) | 1.19459 | − | 2.06910i | 0.281568 | − | 0.487690i | ||||
\(19\) | 4.34002 | + | 0.405223i | 0.995669 | + | 0.0929645i | ||||
\(20\) | 3.10607 | 0.694538 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.520945 | − | 2.95442i | 0.111066 | − | 0.629885i | ||||
\(23\) | −1.65270 | − | 0.601535i | −0.344613 | − | 0.125429i | 0.163915 | − | 0.986474i | \(-0.447588\pi\) |
−0.508527 | + | 0.861046i | \(0.669810\pi\) | |||||||
\(24\) | 1.41875 | − | 0.516382i | 0.289601 | − | 0.105406i | ||||
\(25\) | −1.32635 | − | 0.482753i | −0.265270 | − | 0.0965505i | ||||
\(26\) | 2.32635 | − | 4.02936i | 0.456235 | − | 0.790222i | ||||
\(27\) | 1.52094 | − | 2.63435i | 0.292706 | − | 0.506982i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.25877 | + | 1.18610i | 0.605138 | + | 0.220252i | 0.626375 | − | 0.779522i | \(-0.284538\pi\) |
−0.0212363 | + | 0.999774i | \(0.506760\pi\) | |||||||
\(30\) | −1.18479 | −0.216313 | ||||||||
\(31\) | 1.94356 | 0.349074 | 0.174537 | − | 0.984651i | \(-0.444157\pi\) | ||||
0.174537 | + | 0.984651i | \(0.444157\pi\) | |||||||
\(32\) | −5.29813 | − | 1.92836i | −0.936587 | − | 0.340890i | ||||
\(33\) | 0.315207 | − | 1.78763i | 0.0548706 | − | 0.311187i | ||||
\(34\) | 1.11334 | − | 0.934204i | 0.190936 | − | 0.160215i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.13176 | + | 1.13987i | −0.521960 | + | 0.189978i | ||||
\(37\) | 0.418748 | + | 0.725293i | 0.0688418 | + | 0.119237i | 0.898392 | − | 0.439195i | \(-0.144736\pi\) |
−0.829550 | + | 0.558433i | \(0.811403\pi\) | |||||||
\(38\) | 2.69459 | + | 2.72621i | 0.437121 | + | 0.442250i | ||||
\(39\) | 1.40760 | − | 2.43804i | 0.225397 | − | 0.390399i | ||||
\(40\) | 5.50387 | + | 4.61830i | 0.870238 | + | 0.730217i | ||||
\(41\) | −0.779715 | + | 4.42198i | −0.121771 | + | 0.690598i | 0.861402 | + | 0.507923i | \(0.169587\pi\) |
−0.983173 | + | 0.182675i | \(0.941524\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 3.67752 | + | 3.08580i | 0.560816 | + | 0.470581i | 0.878584 | − | 0.477588i | \(-0.158489\pi\) |
−0.317768 | + | 0.948169i | \(0.602933\pi\) | |||||||
\(44\) | −3.20574 | + | 2.68993i | −0.483283 | + | 0.405523i | ||||
\(45\) | 6.87939 | 1.02552 | ||||||||
\(46\) | −0.773318 | − | 1.33943i | −0.114020 | − | 0.197488i | ||||
\(47\) | 0.124485 | + | 0.705990i | 0.0181580 | + | 0.102979i | 0.992540 | − | 0.121921i | \(-0.0389055\pi\) |
−0.974382 | + | 0.224900i | \(0.927794\pi\) | |||||||
\(48\) | 0.0209445 | + | 0.00762319i | 0.00302308 | + | 0.00110031i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −0.620615 | − | 1.07494i | −0.0877682 | − | 0.152019i | ||||
\(51\) | 0.673648 | − | 0.565258i | 0.0943296 | − | 0.0791519i | ||||
\(52\) | −6.09879 | + | 2.21978i | −0.845750 | + | 0.307828i | ||||
\(53\) | −1.06031 | − | 6.01330i | −0.145644 | − | 0.825991i | −0.966847 | − | 0.255354i | \(-0.917808\pi\) |
0.821203 | − | 0.570636i | \(-0.193303\pi\) | |||||||
\(54\) | 2.51367 | − | 0.914901i | 0.342067 | − | 0.124502i | ||||
\(55\) | 8.11721 | − | 2.95442i | 1.09452 | − | 0.398374i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 1.63041 | + | 1.64955i | 0.215954 | + | 0.218488i | ||||
\(58\) | 1.52481 | + | 2.64106i | 0.200218 | + | 0.346788i | ||||
\(59\) | −1.86824 | + | 10.5953i | −0.243224 | + | 1.37939i | 0.581356 | + | 0.813649i | \(0.302522\pi\) |
−0.824581 | + | 0.565744i | \(0.808589\pi\) | |||||||
\(60\) | 1.26604 | + | 1.06234i | 0.163446 | + | 0.137147i | ||||
\(61\) | −4.12449 | − | 1.50119i | −0.528086 | − | 0.192208i | 0.0641974 | − | 0.997937i | \(-0.479551\pi\) |
−0.592284 | + | 0.805730i | \(0.701773\pi\) | |||||||
\(62\) | 1.30928 | + | 1.09861i | 0.166278 | + | 0.139524i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.52094 | − | 4.36640i | −0.315118 | − | 0.545801i | ||||
\(65\) | 13.3969 | 1.66168 | ||||||||
\(66\) | 1.22281 | − | 1.02606i | 0.150518 | − | 0.126299i | ||||
\(67\) | 10.8871 | − | 9.13538i | 1.33007 | − | 1.11606i | 0.346014 | − | 0.938229i | \(-0.387535\pi\) |
0.984060 | − | 0.177835i | \(-0.0569094\pi\) | |||||||
\(68\) | −2.02734 | −0.245851 | ||||||||
\(69\) | −0.467911 | − | 0.810446i | −0.0563299 | − | 0.0975662i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −10.5398 | − | 8.84397i | −1.25085 | − | 1.04959i | −0.996595 | − | 0.0824479i | \(-0.973726\pi\) |
−0.254252 | − | 0.967138i | \(-0.581829\pi\) | |||||||
\(72\) | −7.24422 | − | 2.63668i | −0.853740 | − | 0.310736i | ||||
\(73\) | −5.75877 | − | 4.83218i | −0.674013 | − | 0.565564i | 0.240237 | − | 0.970714i | \(-0.422775\pi\) |
−0.914250 | + | 0.405150i | \(0.867219\pi\) | |||||||
\(74\) | −0.127889 | + | 0.725293i | −0.0148668 | + | 0.0843136i | ||||
\(75\) | −0.375515 | − | 0.650411i | −0.0433607 | − | 0.0751030i | ||||
\(76\) | −0.434945 | − | 5.32926i | −0.0498916 | − | 0.611308i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 2.32635 | − | 0.846723i | 0.263407 | − | 0.0958725i | ||||
\(79\) | 6.54323 | − | 2.38154i | 0.736171 | − | 0.267944i | 0.0533965 | − | 0.998573i | \(-0.482995\pi\) |
0.682775 | + | 0.730629i | \(0.260773\pi\) | |||||||
\(80\) | 0.0184183 | + | 0.104455i | 0.00205923 | + | 0.0116785i | ||||
\(81\) | −6.13816 | + | 2.23411i | −0.682017 | + | 0.248234i | ||||
\(82\) | −3.02481 | + | 2.53812i | −0.334035 | + | 0.280289i | ||||
\(83\) | −1.25624 | − | 2.17588i | −0.137891 | − | 0.238834i | 0.788807 | − | 0.614641i | \(-0.210699\pi\) |
−0.926698 | + | 0.375807i | \(0.877366\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.93242 | + | 1.43128i | 0.426531 | + | 0.155244i | ||||
\(86\) | 0.733078 | + | 4.15749i | 0.0790499 | + | 0.448314i | ||||
\(87\) | 0.922618 | + | 1.59802i | 0.0989151 | + | 0.171326i | ||||
\(88\) | −9.68004 | −1.03190 | ||||||||
\(89\) | −1.74897 | + | 1.46756i | −0.185390 | + | 0.155561i | −0.730760 | − | 0.682635i | \(-0.760834\pi\) |
0.545369 | + | 0.838196i | \(0.316389\pi\) | |||||||
\(90\) | 4.63429 | + | 3.88863i | 0.488497 | + | 0.409897i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −0.374638 | + | 2.12467i | −0.0390587 | + | 0.221513i | ||||
\(93\) | 0.792204 | + | 0.664738i | 0.0821477 | + | 0.0689301i | ||||
\(94\) | −0.315207 | + | 0.545955i | −0.0325112 | + | 0.0563110i | ||||
\(95\) | −2.91875 | + | 10.6442i | −0.299457 | + | 1.09207i | ||||
\(96\) | −1.50000 | − | 2.59808i | −0.153093 | − | 0.265165i | ||||
\(97\) | 1.71301 | − | 0.623485i | 0.173930 | − | 0.0633053i | −0.253587 | − | 0.967312i | \(-0.581611\pi\) |
0.427517 | + | 0.904007i | \(0.359388\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −7.10014 | + | 5.95772i | −0.713591 | + | 0.598774i | ||||
\(100\) | −0.300660 | + | 1.70513i | −0.0300660 | + | 0.170513i | ||||
\(101\) | 7.44356 | + | 2.70924i | 0.740662 | + | 0.269579i | 0.684671 | − | 0.728852i | \(-0.259946\pi\) |
0.0559912 | + | 0.998431i | \(0.482168\pi\) | |||||||
\(102\) | 0.773318 | 0.0765699 | ||||||||
\(103\) | −0.0145479 | −0.00143345 | −0.000716725 | − | 1.00000i | \(-0.500228\pi\) | ||||
−0.000716725 | 1.00000i | \(0.500228\pi\) | ||||||||
\(104\) | −14.1074 | − | 5.13468i | −1.38335 | − | 0.503497i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.68479 | − | 4.65020i | 0.260770 | − | 0.451667i | ||||
\(107\) | 1.77719 | − | 3.07818i | 0.171807 | − | 0.297579i | −0.767244 | − | 0.641355i | \(-0.778373\pi\) |
0.939052 | + | 0.343776i | \(0.111706\pi\) | |||||||
\(108\) | −3.50640 | − | 1.27622i | −0.337403 | − | 0.122805i | ||||
\(109\) | −6.92514 | + | 2.52055i | −0.663309 | + | 0.241425i | −0.651664 | − | 0.758508i | \(-0.725929\pi\) |
−0.0116444 | + | 0.999932i | \(0.503707\pi\) | |||||||
\(110\) | 7.13816 | + | 2.59808i | 0.680596 | + | 0.247717i | ||||
\(111\) | −0.0773815 | + | 0.438852i | −0.00734473 | + | 0.0416540i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 7.37733 | 0.694000 | 0.347000 | − | 0.937865i | \(-0.387200\pi\) | ||||
0.347000 | + | 0.937865i | \(0.387200\pi\) | |||||||
\(114\) | 0.165907 | + | 2.03282i | 0.0155387 | + | 0.190391i | ||||
\(115\) | 2.22668 | − | 3.85673i | 0.207639 | − | 0.359642i | ||||
\(116\) | 0.738703 | − | 4.18939i | 0.0685869 | − | 0.388976i | ||||
\(117\) | −13.5077 | + | 4.91642i | −1.24879 | + | 0.454523i | ||||
\(118\) | −7.24763 | + | 6.08148i | −0.667198 | + | 0.559846i | ||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0.663848 | + | 3.76487i | 0.0606008 | + | 0.343684i | ||||
\(121\) | −0.319078 | + | 0.552659i | −0.0290071 | + | 0.0502417i | ||||
\(122\) | −1.92989 | − | 3.34267i | −0.174724 | − | 0.302631i | ||||
\(123\) | −1.83022 | + | 1.53574i | −0.165026 | + | 0.138473i | ||||
\(124\) | −0.414000 | − | 2.34791i | −0.0371783 | − | 0.210849i | ||||
\(125\) | −4.54323 | + | 7.86911i | −0.406359 | + | 0.703835i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −0.0175410 | − | 0.0994798i | −0.00155651 | − | 0.00882740i | 0.984020 | − | 0.178060i | \(-0.0569822\pi\) |
−0.985576 | + | 0.169233i | \(0.945871\pi\) | |||||||
\(128\) | −1.18820 | + | 6.73859i | −0.105023 | + | 0.595613i | ||||
\(129\) | 0.443563 | + | 2.51557i | 0.0390535 | + | 0.221484i | ||||
\(130\) | 9.02481 | + | 7.57272i | 0.791529 | + | 0.664171i | ||||
\(131\) | −2.32635 | − | 1.95204i | −0.203254 | − | 0.170551i | 0.535479 | − | 0.844549i | \(-0.320131\pi\) |
−0.738733 | + | 0.673998i | \(0.764576\pi\) | |||||||
\(132\) | −2.22668 | −0.193808 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.4979 | 1.07966 | ||||||||
\(135\) | 5.90033 | + | 4.95096i | 0.507820 | + | 0.426111i | ||||
\(136\) | −3.59240 | − | 3.01438i | −0.308045 | − | 0.258481i | ||||
\(137\) | 3.39306 | + | 19.2430i | 0.289888 | + | 1.64404i | 0.687282 | + | 0.726390i | \(0.258803\pi\) |
−0.397394 | + | 0.917648i | \(0.630085\pi\) | |||||||
\(138\) | 0.142903 | − | 0.810446i | 0.0121648 | − | 0.0689897i | ||||
\(139\) | 2.67365 | + | 15.1630i | 0.226776 | + | 1.28611i | 0.859261 | + | 0.511537i | \(0.170924\pi\) |
−0.632485 | + | 0.774573i | \(0.717965\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −0.190722 | + | 0.330341i | −0.0160617 | + | 0.0278197i | ||||
\(142\) | −2.10101 | − | 11.9154i | −0.176313 | − | 0.999922i | ||||
\(143\) | −13.8268 | + | 11.6021i | −1.15626 | + | 0.970215i | ||||
\(144\) | −0.0569038 | − | 0.0985603i | −0.00474198 | − | 0.00821336i | ||||
\(145\) | −4.39053 | + | 7.60462i | −0.364614 | + | 0.631529i | ||||
\(146\) | −1.14796 | − | 6.51038i | −0.0950055 | − | 0.538803i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0.786989 | − | 0.660362i | 0.0646901 | − | 0.0542814i | ||||
\(149\) | 3.53936 | − | 1.28822i | 0.289956 | − | 0.105535i | −0.192947 | − | 0.981209i | \(-0.561805\pi\) |
0.482903 | + | 0.875674i | \(0.339582\pi\) | |||||||
\(150\) | 0.114685 | − | 0.650411i | 0.00936399 | − | 0.0531058i | ||||
\(151\) | 7.29813 | − | 12.6407i | 0.593914 | − | 1.02869i | −0.399786 | − | 0.916609i | \(-0.630915\pi\) |
0.993699 | − | 0.112080i | \(-0.0357513\pi\) | |||||||
\(152\) | 7.15317 | − | 10.0900i | 0.580199 | − | 0.818409i | ||||
\(153\) | −4.49020 | −0.363011 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −0.854570 | + | 4.84651i | −0.0686407 | + | 0.389281i | ||||
\(156\) | −3.24510 | − | 1.18112i | −0.259816 | − | 0.0945653i | ||||
\(157\) | 9.74897 | − | 3.54834i | 0.778053 | − | 0.283188i | 0.0776922 | − | 0.996977i | \(-0.475245\pi\) |
0.700360 | + | 0.713789i | \(0.253023\pi\) | |||||||
\(158\) | 5.75402 | + | 2.09429i | 0.457765 | + | 0.166613i | ||||
\(159\) | 1.62449 | − | 2.81369i | 0.128830 | − | 0.223140i | ||||
\(160\) | 7.13816 | − | 12.3636i | 0.564321 | − | 0.977432i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −5.39780 | − | 1.96464i | −0.424091 | − | 0.154357i | ||||
\(163\) | −2.02229 | −0.158398 | −0.0791989 | − | 0.996859i | \(-0.525236\pi\) | ||||
−0.0791989 | + | 0.996859i | \(0.525236\pi\) | |||||||
\(164\) | 5.50805 | 0.430106 | ||||||||
\(165\) | 4.31908 | + | 1.57202i | 0.336240 | + | 0.122381i | ||||
\(166\) | 0.383666 | − | 2.17588i | 0.0297783 | − | 0.168881i | ||||
\(167\) | −17.8157 | + | 14.9491i | −1.37862 | + | 1.15680i | −0.408898 | + | 0.912580i | \(0.634087\pi\) |
−0.969720 | + | 0.244218i | \(0.921469\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −14.0890 | + | 5.12797i | −1.08377 | + | 0.394460i | ||||
\(170\) | 1.84002 | + | 3.18701i | 0.141123 | + | 0.244433i | ||||
\(171\) | −0.963326 | − | 11.8034i | −0.0736673 | − | 0.902626i | ||||
\(172\) | 2.94444 | − | 5.09992i | 0.224511 | − | 0.388865i | ||||
\(173\) | 0.686852 | + | 0.576337i | 0.0522204 | + | 0.0438181i | 0.668524 | − | 0.743690i | \(-0.266926\pi\) |
−0.616304 | + | 0.787508i | \(0.711371\pi\) | |||||||
\(174\) | −0.281774 | + | 1.59802i | −0.0213613 | + | 0.121146i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.109470 | − | 0.0918566i | −0.00825164 | − | 0.00692395i | ||||
\(177\) | −4.38532 | + | 3.67972i | −0.329620 | + | 0.276584i | ||||
\(178\) | −2.00774 | −0.150487 | ||||||||
\(179\) | 10.6591 | + | 18.4621i | 0.796699 | + | 1.37992i | 0.921755 | + | 0.387773i | \(0.126755\pi\) |
−0.125056 | + | 0.992150i | \(0.539911\pi\) | |||||||
\(180\) | −1.46538 | − | 8.31061i | −0.109223 | − | 0.619436i | ||||
\(181\) | 15.1284 | + | 5.50627i | 1.12448 | + | 0.409278i | 0.836286 | − | 0.548294i | \(-0.184722\pi\) |
0.288196 | + | 0.957571i | \(0.406945\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1.16772 | − | 2.02255i | −0.0863202 | − | 0.149511i | ||||
\(184\) | −3.82295 | + | 3.20783i | −0.281831 | + | 0.236485i | ||||
\(185\) | −1.99273 | + | 0.725293i | −0.146508 | + | 0.0533246i | ||||
\(186\) | 0.157918 | + | 0.895599i | 0.0115791 | + | 0.0656685i | ||||
\(187\) | −5.29813 | + | 1.92836i | −0.387438 | + | 0.141016i | ||||
\(188\) | 0.826352 | − | 0.300767i | 0.0602679 | − | 0.0219357i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.98293 | + | 5.52060i | −0.579142 | + | 0.400506i | ||||
\(191\) | −9.47431 | − | 16.4100i | −0.685537 | − | 1.18738i | −0.973268 | − | 0.229673i | \(-0.926234\pi\) |
0.287731 | − | 0.957711i | \(-0.407099\pi\) | |||||||
\(192\) | 0.465852 | − | 2.64198i | 0.0336200 | − | 0.190668i | ||||
\(193\) | 9.88326 | + | 8.29304i | 0.711412 | + | 0.596946i | 0.924995 | − | 0.379979i | \(-0.124069\pi\) |
−0.213583 | + | 0.976925i | \(0.568513\pi\) | |||||||
\(194\) | 1.50640 | + | 0.548284i | 0.108153 | + | 0.0393645i | ||||
\(195\) | 5.46064 | + | 4.58202i | 0.391044 | + | 0.328125i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 11.6001 | + | 20.0920i | 0.826476 | + | 1.43150i | 0.900786 | + | 0.434263i | \(0.142991\pi\) |
−0.0743108 | + | 0.997235i | \(0.523676\pi\) | |||||||
\(198\) | −8.15064 | −0.579241 | ||||||||
\(199\) | 7.06418 | − | 5.92755i | 0.500766 | − | 0.420193i | −0.357100 | − | 0.934066i | \(-0.616234\pi\) |
0.857866 | + | 0.513873i | \(0.171790\pi\) | |||||||
\(200\) | −3.06805 | + | 2.57440i | −0.216944 | + | 0.182037i | ||||
\(201\) | 7.56212 | 0.533391 | ||||||||
\(202\) | 3.48293 | + | 6.03260i | 0.245058 | + | 0.424453i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | −0.826352 | − | 0.693392i | −0.0578562 | − | 0.0485471i | ||||
\(205\) | −10.6839 | − | 3.88863i | −0.746197 | − | 0.271593i | ||||
\(206\) | −0.00980018 | − | 0.00822333i | −0.000682811 | − | 0.000572946i | ||||
\(207\) | −0.829755 | + | 4.70578i | −0.0576720 | + | 0.327074i | ||||
\(208\) | −0.110815 | − | 0.191936i | −0.00768361 | − | 0.0133084i | ||||
\(209\) | −6.20574 | − | 13.5135i | −0.429260 | − | 0.934746i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.7417 | + | 5.00157i | −0.946017 | + | 0.344322i | −0.768539 | − | 0.639803i | \(-0.779016\pi\) |
−0.177478 | + | 0.984125i | \(0.556794\pi\) | |||||||
\(212\) | −7.03849 | + | 2.56180i | −0.483405 | + | 0.175945i | ||||
\(213\) | −1.27126 | − | 7.20967i | −0.0871052 | − | 0.493998i | ||||
\(214\) | 2.93717 | − | 1.06904i | 0.200781 | − | 0.0730781i | ||||
\(215\) | −9.31180 | + | 7.81353i | −0.635060 | + | 0.532878i | ||||
\(216\) | −4.31567 | − | 7.47497i | −0.293644 | − | 0.508607i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −6.08987 | − | 2.21653i | −0.412458 | − | 0.150122i | ||||
\(219\) | −0.694593 | − | 3.93923i | −0.0469362 | − | 0.266189i | ||||
\(220\) | −5.29813 | − | 9.17664i | −0.357200 | − | 0.618689i | ||||
\(221\) | −8.74422 | −0.588200 | ||||||||
\(222\) | −0.300193 | + | 0.251892i | −0.0201476 | + | 0.0169059i | ||||
\(223\) | −2.30928 | − | 1.93771i | −0.154641 | − | 0.129759i | 0.562185 | − | 0.827012i | \(-0.309961\pi\) |
−0.716825 | + | 0.697253i | \(0.754405\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −0.665907 | + | 3.77655i | −0.0443938 | + | 0.251770i | ||||
\(226\) | 4.96972 | + | 4.17009i | 0.330581 | + | 0.277390i | ||||
\(227\) | 6.86097 | − | 11.8835i | 0.455378 | − | 0.788738i | −0.543332 | − | 0.839518i | \(-0.682837\pi\) |
0.998710 | + | 0.0507798i | \(0.0161707\pi\) | |||||||
\(228\) | 1.64543 | − | 2.32099i | 0.108971 | − | 0.153711i | ||||
\(229\) | −4.70708 | − | 8.15290i | −0.311053 | − | 0.538759i | 0.667538 | − | 0.744576i | \(-0.267348\pi\) |
−0.978591 | + | 0.205817i | \(0.934015\pi\) | |||||||
\(230\) | 3.68004 | − | 1.33943i | 0.242655 | − | 0.0883192i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 7.53802 | − | 6.32515i | 0.494895 | − | 0.415266i | ||||
\(233\) | −4.19981 | + | 23.8183i | −0.275139 | + | 1.56039i | 0.463383 | + | 0.886158i | \(0.346635\pi\) |
−0.738521 | + | 0.674230i | \(0.764476\pi\) | |||||||
\(234\) | −11.8785 | − | 4.32342i | −0.776522 | − | 0.282631i | ||||
\(235\) | −1.81521 | −0.118411 | ||||||||
\(236\) | 13.1976 | 0.859090 | ||||||||
\(237\) | 3.48158 | + | 1.26719i | 0.226153 | + | 0.0823130i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 11.6630 | − | 20.2009i | 0.754415 | − | 1.30668i | −0.191250 | − | 0.981541i | \(-0.561254\pi\) |
0.945665 | − | 0.325143i | \(-0.105413\pi\) | |||||||
\(240\) | −0.0282185 | + | 0.0488759i | −0.00182150 | + | 0.00315492i | ||||
\(241\) | −0.279715 | − | 0.101808i | −0.0180180 | − | 0.00655803i | 0.332995 | − | 0.942928i | \(-0.391941\pi\) |
−0.351013 | + | 0.936370i | \(0.614163\pi\) | |||||||
\(242\) | −0.527341 | + | 0.191936i | −0.0338988 | + | 0.0123381i | ||||
\(243\) | −11.8414 | − | 4.30990i | −0.759624 | − | 0.276481i | ||||
\(244\) | −0.934945 | + | 5.30234i | −0.0598537 | + | 0.339447i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.10101 | −0.133956 | ||||||||
\(247\) | −1.87598 | − | 22.9859i | −0.119366 | − | 1.46256i | ||||
\(248\) | 2.75743 | − | 4.77600i | 0.175097 | − | 0.303276i | ||||
\(249\) | 0.232145 | − | 1.31656i | 0.0147116 | − | 0.0834334i | ||||
\(250\) | −7.50862 | + | 2.73291i | −0.474887 | + | 0.172845i | ||||
\(251\) | −12.4081 | + | 10.4116i | −0.783190 | + | 0.657175i | −0.944050 | − | 0.329802i | \(-0.893018\pi\) |
0.160859 | + | 0.986977i | \(0.448573\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.04189 | + | 5.90885i | 0.0655030 | + | 0.371486i | ||||
\(254\) | 0.0444153 | − | 0.0769295i | 0.00278686 | − | 0.00482699i | ||||
\(255\) | 1.11334 | + | 1.92836i | 0.0697201 | + | 0.120759i | ||||
\(256\) | −12.3341 | + | 10.3495i | −0.770881 | + | 0.646846i | ||||
\(257\) | 2.66637 | + | 15.1218i | 0.166324 | + | 0.943269i | 0.947689 | + | 0.319195i | \(0.103413\pi\) |
−0.781365 | + | 0.624074i | \(0.785476\pi\) | |||||||
\(258\) | −1.12314 | + | 1.94534i | −0.0699237 | + | 0.121111i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −2.85369 | − | 16.1841i | −0.176979 | − | 1.00370i | ||||
\(261\) | 1.63610 | − | 9.27876i | 0.101272 | − | 0.574341i | ||||
\(262\) | −0.463736 | − | 2.62998i | −0.0286497 | − | 0.162481i | ||||
\(263\) | 7.38713 | + | 6.19853i | 0.455510 | + | 0.382218i | 0.841476 | − | 0.540295i | \(-0.181687\pi\) |
−0.385966 | + | 0.922513i | \(0.626132\pi\) | |||||||
\(264\) | −3.94562 | − | 3.31077i | −0.242836 | − | 0.203764i | ||||
\(265\) | 15.4611 | 0.949768 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.21482 | −0.0743459 | ||||||||
\(268\) | −13.3550 | − | 11.2062i | −0.815789 | − | 0.684528i | ||||
\(269\) | −14.0025 | − | 11.7495i | −0.853749 | − | 0.716381i | 0.106863 | − | 0.994274i | \(-0.465919\pi\) |
−0.960612 | + | 0.277893i | \(0.910364\pi\) | |||||||
\(270\) | 1.17617 | + | 6.67042i | 0.0715797 | + | 0.405949i | ||||
\(271\) | 3.29308 | − | 18.6760i | 0.200040 | − | 1.13449i | −0.705015 | − | 0.709192i | \(-0.749060\pi\) |
0.905056 | − | 0.425293i | \(-0.139829\pi\) | |||||||
\(272\) | −0.0120217 | − | 0.0681784i | −0.000728923 | − | 0.00413393i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.59152 | + | 14.8809i | −0.519033 | + | 0.898991i | ||||
\(275\) | 0.836152 | + | 4.74205i | 0.0504219 | + | 0.285957i | ||||
\(276\) | −0.879385 | + | 0.737892i | −0.0529328 | + | 0.0444159i | ||||
\(277\) | −6.88191 | − | 11.9198i | −0.413494 | − | 0.716193i | 0.581775 | − | 0.813350i | \(-0.302358\pi\) |
−0.995269 | + | 0.0971571i | \(0.969025\pi\) | |||||||
\(278\) | −6.76991 | + | 11.7258i | −0.406033 | + | 0.703269i | ||||
\(279\) | −0.916937 | − | 5.20021i | −0.0548956 | − | 0.311328i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 10.0437 | − | 8.42767i | 0.599157 | − | 0.502752i | −0.292018 | − | 0.956413i | \(-0.594327\pi\) |
0.891175 | + | 0.453661i | \(0.149882\pi\) | |||||||
\(282\) | −0.315207 | + | 0.114726i | −0.0187703 | + | 0.00683184i | ||||
\(283\) | −3.01754 | + | 17.1133i | −0.179374 | + | 1.01728i | 0.753599 | + | 0.657335i | \(0.228316\pi\) |
−0.932973 | + | 0.359947i | \(0.882795\pi\) | |||||||
\(284\) | −8.43882 | + | 14.6165i | −0.500752 | + | 0.867327i | ||||
\(285\) | −4.83022 | + | 3.34034i | −0.286118 | + | 0.197865i | ||||
\(286\) | −15.8726 | −0.938565 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −2.65998 | + | 15.0855i | −0.156741 | + | 0.888921i | ||||
\(289\) | 13.4081 | + | 4.88014i | 0.788710 | + | 0.287067i | ||||
\(290\) | −7.25624 | + | 2.64106i | −0.426101 | + | 0.155088i | ||||
\(291\) | 0.911474 | + | 0.331749i | 0.0534316 | + | 0.0194475i | ||||
\(292\) | −4.61081 | + | 7.98617i | −0.269828 | + | 0.467355i | ||||
\(293\) | −7.80200 | + | 13.5135i | −0.455798 | + | 0.789465i | −0.998734 | − | 0.0503091i | \(-0.983979\pi\) |
0.542936 | + | 0.839774i | \(0.317313\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −25.5993 | − | 9.31737i | −1.49045 | − | 0.542478i | ||||
\(296\) | 2.37639 | 0.138125 | ||||||||
\(297\) | −10.3773 | −0.602154 | ||||||||
\(298\) | 3.11246 | + | 1.13284i | 0.180300 | + | 0.0656239i | ||||
\(299\) | −1.61587 | + | 9.16404i | −0.0934480 | + | 0.529970i | ||||
\(300\) | −0.705737 | + | 0.592184i | −0.0407457 | + | 0.0341897i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 12.0617 | − | 4.39008i | 0.694070 | − | 0.252621i | ||||
\(303\) | 2.10741 | + | 3.65014i | 0.121068 | + | 0.209695i | ||||
\(304\) | 0.176641 | − | 0.0462284i | 0.0101311 | − | 0.00265138i | ||||
\(305\) | 5.55690 | − | 9.62484i | 0.318187 | − | 0.551117i | ||||
\(306\) | −3.02481 | − | 2.53812i | −0.172917 | − | 0.145095i | ||||
\(307\) | 3.73695 | − | 21.1933i | 0.213279 | − | 1.20956i | −0.670589 | − | 0.741829i | \(-0.733959\pi\) |
0.883868 | − | 0.467736i | \(-0.154930\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −0.00592979 | − | 0.00497568i | −0.000337334 | − | 0.000283057i | ||||
\(310\) | −3.31521 | + | 2.78179i | −0.188291 | + | 0.157995i | ||||
\(311\) | 14.4953 | 0.821950 | 0.410975 | − | 0.911647i | \(-0.365188\pi\) | ||||
0.410975 | + | 0.911647i | \(0.365188\pi\) | |||||||
\(312\) | −3.99407 | − | 6.91793i | −0.226120 | − | 0.391651i | ||||
\(313\) | 3.38935 | + | 19.2219i | 0.191577 | + | 1.08649i | 0.917209 | + | 0.398406i | \(0.130436\pi\) |
−0.725632 | + | 0.688083i | \(0.758453\pi\) | |||||||
\(314\) | 8.57310 | + | 3.12035i | 0.483808 | + | 0.176092i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.27079 | − | 7.39723i | −0.240251 | − | 0.416127i | ||||
\(317\) | 21.7153 | − | 18.2213i | 1.21965 | − | 1.02341i | 0.220809 | − | 0.975317i | \(-0.429130\pi\) |
0.998843 | − | 0.0480926i | \(-0.0153143\pi\) | |||||||
\(318\) | 2.68479 | − | 0.977185i | 0.150556 | − | 0.0547978i | ||||
\(319\) | −2.05438 | − | 11.6510i | −0.115023 | − | 0.652328i | ||||
\(320\) | 11.9966 | − | 4.36640i | 0.670630 | − | 0.244089i | ||||
\(321\) | 1.77719 | − | 0.646844i | 0.0991930 | − | 0.0361033i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 1.90508 | − | 6.94751i | 0.106001 | − | 0.386570i | ||||
\(324\) | 4.00640 | + | 6.93928i | 0.222578 | + | 0.385516i | ||||
\(325\) | −1.29679 | + | 7.35446i | −0.0719329 | + | 0.407952i | ||||
\(326\) | −1.36231 | − | 1.14311i | −0.0754514 | − | 0.0633113i | ||||
\(327\) | −3.68479 | − | 1.34115i | −0.203769 | − | 0.0741660i | ||||
\(328\) | 9.76011 | + | 8.18971i | 0.538912 | + | 0.452201i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 2.02094 | + | 3.50038i | 0.111249 | + | 0.192690i | ||||
\(331\) | −1.71007 | −0.0939942 | −0.0469971 | − | 0.998895i | \(-0.514965\pi\) | ||||
−0.0469971 | + | 0.998895i | \(0.514965\pi\) | |||||||
\(332\) | −2.36097 | + | 1.98109i | −0.129575 | + | 0.108726i | ||||
\(333\) | 1.74304 | − | 1.46258i | 0.0955180 | − | 0.0801491i | ||||
\(334\) | −20.4516 | −1.11906 | ||||||||
\(335\) | 17.9932 | + | 31.1651i | 0.983073 | + | 1.70273i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 19.4873 | + | 16.3518i | 1.06154 | + | 0.890737i | 0.994259 | − | 0.106997i | \(-0.0341236\pi\) |
0.0672796 | + | 0.997734i | \(0.478568\pi\) | |||||||
\(338\) | −12.3897 | − | 4.50946i | −0.673908 | − | 0.245283i | ||||
\(339\) | 3.00703 | + | 2.52319i | 0.163319 | + | 0.137041i | ||||
\(340\) | 0.891407 | − | 5.05542i | 0.0483433 | − | 0.274169i | ||||
\(341\) | −3.31521 | − | 5.74211i | −0.179529 | − | 0.310953i | ||||
\(342\) | 6.02300 | − | 8.49584i | 0.325687 | − | 0.459403i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 12.8004 | − | 4.65895i | 0.690149 | − | 0.251194i | ||||
\(345\) | 2.22668 | − | 0.810446i | 0.119881 | − | 0.0436329i | ||||
\(346\) | 0.136917 | + | 0.776497i | 0.00736072 | + | 0.0417447i | ||||
\(347\) | −7.23783 | + | 2.63435i | −0.388547 | + | 0.141419i | −0.528904 | − | 0.848681i | \(-0.677397\pi\) |
0.140358 | + | 0.990101i | \(0.455175\pi\) | |||||||
\(348\) | 1.73396 | − | 1.45496i | 0.0929498 | − | 0.0779941i | ||||
\(349\) | −11.3785 | − | 19.7082i | −0.609078 | − | 1.05495i | −0.991393 | − | 0.130921i | \(-0.958206\pi\) |
0.382315 | − | 0.924032i | \(-0.375127\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −15.1236 | − | 5.50454i | −0.807238 | − | 0.293811i | ||||
\(352\) | 3.34002 | + | 18.9422i | 0.178024 | + | 1.00962i | ||||
\(353\) | 5.72281 | + | 9.91220i | 0.304595 | + | 0.527573i | 0.977171 | − | 0.212454i | \(-0.0681457\pi\) |
−0.672576 | + | 0.740028i | \(0.734812\pi\) | |||||||
\(354\) | −5.03415 | −0.267562 | ||||||||
\(355\) | 26.6878 | − | 22.3937i | 1.41644 | − | 1.18853i | ||||
\(356\) | 2.14543 | + | 1.80023i | 0.113708 | + | 0.0954120i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.25537 | + | 18.4621i | −0.172051 | + | 0.975752i | ||||
\(359\) | 7.95471 | + | 6.67479i | 0.419833 | + | 0.352282i | 0.828100 | − | 0.560581i | \(-0.189422\pi\) |
−0.408266 | + | 0.912863i | \(0.633867\pi\) | |||||||
\(360\) | 9.76011 | − | 16.9050i | 0.514403 | − | 0.890972i | ||||
\(361\) | 18.6716 | + | 3.51735i | 0.982715 | + | 0.185124i | ||||
\(362\) | 7.07873 | + | 12.2607i | 0.372050 | + | 0.644409i | ||||
\(363\) | −0.319078 | + | 0.116135i | −0.0167472 | + | 0.00609550i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 14.5817 | − | 12.2355i | 0.763242 | − | 0.640436i | ||||
\(366\) | 0.356630 | − | 2.02255i | 0.0186413 | − | 0.105720i | ||||
\(367\) | 30.5710 | + | 11.1269i | 1.59580 | + | 0.580822i | 0.978561 | − | 0.205957i | \(-0.0660308\pi\) |
0.617234 | + | 0.786779i | \(0.288253\pi\) | |||||||
\(368\) | −0.0736733 | −0.00384048 | ||||||||
\(369\) | 12.1993 | 0.635072 | ||||||||
\(370\) | −1.75237 | − | 0.637812i | −0.0911016 | − | 0.0331583i | ||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0.634285 | − | 1.09861i | 0.0328862 | − | 0.0569605i | ||||
\(373\) | −15.2429 | + | 26.4014i | −0.789246 | + | 1.36701i | 0.137183 | + | 0.990546i | \(0.456195\pi\) |
−0.926429 | + | 0.376469i | \(0.877138\pi\) | |||||||
\(374\) | −4.65910 | − | 1.69577i | −0.240916 | − | 0.0876864i | ||||
\(375\) | −4.54323 | + | 1.65360i | −0.234612 | + | 0.0853916i | ||||
\(376\) | 1.91147 | + | 0.695720i | 0.0985768 | + | 0.0358790i | ||||
\(377\) | 3.18614 | − | 18.0695i | 0.164094 | − | 0.930626i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 17.8598 | 0.917396 | 0.458698 | − | 0.888592i | \(-0.348316\pi\) | ||||
0.458698 | + | 0.888592i | \(0.348316\pi\) | |||||||
\(380\) | 13.4804 | + | 1.25865i | 0.691530 | + | 0.0645674i | ||||
\(381\) | 0.0268743 | − | 0.0465477i | 0.00137681 | − | 0.00238471i | ||||
\(382\) | 2.89352 | − | 16.4100i | 0.148045 | − | 0.839608i | ||||
\(383\) | 22.0415 | − | 8.02244i | 1.12627 | − | 0.409928i | 0.289331 | − | 0.957229i | \(-0.406567\pi\) |
0.836936 | + | 0.547301i | \(0.184345\pi\) | |||||||
\(384\) | −2.78905 | + | 2.34029i | −0.142328 | + | 0.119427i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1.97013 | + | 11.1732i | 0.100277 | + | 0.568700i | ||||
\(387\) | 6.52141 | − | 11.2954i | 0.331502 | − | 0.574178i | ||||
\(388\) | −1.11809 | − | 1.93659i | −0.0567623 | − | 0.0983153i | ||||
\(389\) | 2.99479 | − | 2.51292i | 0.151842 | − | 0.127410i | −0.563702 | − | 0.825978i | \(-0.690623\pi\) |
0.715544 | + | 0.698568i | \(0.246179\pi\) | |||||||
\(390\) | 1.08853 | + | 6.17334i | 0.0551197 | + | 0.312599i | ||||
\(391\) | −1.45336 | + | 2.51730i | −0.0734997 | + | 0.127305i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −0.280592 | − | 1.59132i | −0.0141540 | − | 0.0802714i | ||||
\(394\) | −3.54277 | + | 20.0920i | −0.178482 | + | 1.01222i | ||||
\(395\) | 3.06165 | + | 17.3635i | 0.154048 | + | 0.873652i | ||||
\(396\) | 8.70961 | + | 7.30823i | 0.437674 | + | 0.367252i | ||||
\(397\) | 6.86303 | + | 5.75876i | 0.344445 | + | 0.289024i | 0.798555 | − | 0.601922i | \(-0.205598\pi\) |
−0.454110 | + | 0.890946i | \(0.650043\pi\) | |||||||
\(398\) | 8.10936 | 0.406486 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0591253 | −0.00295627 | ||||||||
\(401\) | −1.55303 | − | 1.30315i | −0.0775548 | − | 0.0650762i | 0.603186 | − | 0.797600i | \(-0.293898\pi\) |
−0.680741 | + | 0.732524i | \(0.738342\pi\) | |||||||
\(402\) | 5.09421 | + | 4.27455i | 0.254076 | + | 0.213195i | ||||
\(403\) | −1.78564 | − | 10.1269i | −0.0889493 | − | 0.504457i | ||||
\(404\) | 1.68732 | − | 9.56926i | 0.0839472 | − | 0.476088i | ||||
\(405\) | −2.87211 | − | 16.2886i | −0.142716 | − | 0.809385i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.42855 | − | 2.47432i | 0.0708105 | − | 0.122647i | ||||
\(408\) | −0.433296 | − | 2.45734i | −0.0214513 | − | 0.121657i | ||||
\(409\) | −24.6728 | + | 20.7029i | −1.21999 | + | 1.02369i | −0.221165 | + | 0.975236i | \(0.570986\pi\) |
−0.998825 | + | 0.0484567i | \(0.984570\pi\) | |||||||
\(410\) | −4.99912 | − | 8.65873i | −0.246889 | − | 0.427624i | ||||
\(411\) | −5.19846 | + | 9.00400i | −0.256421 | + | 0.444135i | ||||
\(412\) | 0.00309887 | + | 0.0175745i | 0.000152670 | + | 0.000865836i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −3.21894 | + | 2.70101i | −0.158202 | + | 0.132747i | ||||
\(415\) | 5.97818 | − | 2.17588i | 0.293457 | − | 0.106810i | ||||
\(416\) | −5.18004 | + | 29.3775i | −0.253973 | + | 1.44035i | ||||
\(417\) | −4.09627 | + | 7.09494i | −0.200595 | + | 0.347441i | ||||
\(418\) | 3.45811 | − | 12.6112i | 0.169142 | − | 0.616832i | ||||
\(419\) | −23.2499 | −1.13583 | −0.567916 | − | 0.823086i | \(-0.692250\pi\) | ||||
−0.567916 | + | 0.823086i | \(0.692250\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 1.12061 | − | 6.35532i | 0.0546154 | − | 0.309739i | −0.945246 | − | 0.326357i | \(-0.894179\pi\) |
0.999862 | + | 0.0166178i | \(0.00528986\pi\) | |||||||
\(422\) | −12.0842 | − | 4.39831i | −0.588252 | − | 0.214106i | ||||
\(423\) | 1.83022 | − | 0.666146i | 0.0889884 | − | 0.0323891i | ||||
\(424\) | −16.2811 | − | 5.92582i | −0.790678 | − | 0.287783i | ||||
\(425\) | −1.16637 | + | 2.02022i | −0.0565775 | + | 0.0979950i | ||||
\(426\) | 3.21894 | − | 5.57537i | 0.155958 | − | 0.270128i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −4.09714 | − | 1.49124i | −0.198043 | − | 0.0720817i | ||||
\(429\) | −9.60401 | −0.463686 | ||||||||
\(430\) | −10.6895 | −0.515495 | ||||||||
\(431\) | 13.1532 | + | 4.78736i | 0.633566 | + | 0.230599i | 0.638783 | − | 0.769387i | \(-0.279438\pi\) |
−0.00521671 | + | 0.999986i | \(0.501661\pi\) | |||||||
\(432\) | 0.0221266 | − | 0.125486i | 0.00106457 | − | 0.00603745i | ||||
\(433\) | −21.9800 | + | 18.4434i | −1.05629 | + | 0.886333i | −0.993741 | − | 0.111709i | \(-0.964368\pi\) |
−0.0625499 | + | 0.998042i | \(0.519923\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.39053 | + | 1.59802i | −0.210510 | + | 0.0766193i | ||||
\(436\) | 4.52007 | + | 7.82899i | 0.216472 | + | 0.374940i | ||||
\(437\) | −6.92902 | − | 3.28039i | −0.331460 | − | 0.156922i | ||||
\(438\) | 1.75877 | − | 3.04628i | 0.0840373 | − | 0.145557i | ||||
\(439\) | −10.2208 | − | 8.57623i | −0.487810 | − | 0.409321i | 0.365431 | − | 0.930839i | \(-0.380922\pi\) |
−0.853241 | + | 0.521517i | \(0.825366\pi\) | |||||||
\(440\) | 4.25624 | − | 24.1384i | 0.202908 | − | 1.15075i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.89053 | − | 4.94274i | −0.280184 | − | 0.235102i | ||||
\(443\) | 25.9559 | − | 21.7796i | 1.23320 | − | 1.03478i | 0.235177 | − | 0.971953i | \(-0.424433\pi\) |
0.998024 | − | 0.0628264i | \(-0.0200114\pi\) | |||||||
\(444\) | 0.546637 | 0.0259422 | ||||||||
\(445\) | −2.89053 | − | 5.00654i | −0.137024 | − | 0.237333i | ||||
\(446\) | −0.460332 | − | 2.61068i | −0.0217974 | − | 0.123619i | ||||
\(447\) | 1.88326 | + | 0.685449i | 0.0890749 | + | 0.0324206i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −9.42009 | − | 16.3161i | −0.444562 | − | 0.770003i | 0.553460 | − | 0.832876i | \(-0.313307\pi\) |
−0.998022 | + | 0.0628725i | \(0.979974\pi\) | |||||||
\(450\) | −2.58331 | + | 2.16766i | −0.121778 | + | 0.102184i | ||||
\(451\) | 14.3944 | − | 5.23913i | 0.677806 | − | 0.246701i | ||||
\(452\) | −1.57145 | − | 8.91215i | −0.0739149 | − | 0.419192i | ||||
\(453\) | 7.29813 | − | 2.65630i | 0.342896 | − | 0.124804i | ||||
\(454\) | 11.3391 | − | 4.12711i | 0.532172 | − | 0.193695i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.36665 | − | 1.66620i | 0.298146 | − | 0.0780270i | ||||
\(457\) | −7.13950 | − | 12.3660i | −0.333972 | − | 0.578456i | 0.649315 | − | 0.760520i | \(-0.275056\pi\) |
−0.983287 | + | 0.182064i | \(0.941722\pi\) | |||||||
\(458\) | 1.43758 | − | 8.15290i | 0.0671736 | − | 0.380960i | ||||
\(459\) | −3.85117 | − | 3.23151i | −0.179757 | − | 0.150834i | ||||
\(460\) | −5.13341 | − | 1.86841i | −0.239346 | − | 0.0871150i | ||||
\(461\) | −10.6695 | − | 8.95280i | −0.496930 | − | 0.416973i | 0.359572 | − | 0.933117i | \(-0.382923\pi\) |
−0.856502 | + | 0.516144i | \(0.827367\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.881445 | + | 1.52671i | 0.0409642 | + | 0.0709521i | 0.885781 | − | 0.464104i | \(-0.153624\pi\) |
−0.844816 | + | 0.535056i | \(0.820290\pi\) | |||||||
\(464\) | 0.145268 | 0.00674388 | ||||||||
\(465\) | −2.00593 | + | 1.68317i | −0.0930228 | + | 0.0780554i | ||||
\(466\) | −16.2927 | + | 13.6712i | −0.754743 | + | 0.633305i | ||||
\(467\) | 22.0419 | 1.01998 | 0.509988 | − | 0.860181i | \(-0.329650\pi\) | ||||
0.509988 | + | 0.860181i | \(0.329650\pi\) | |||||||
\(468\) | 8.81655 | + | 15.2707i | 0.407545 | + | 0.705889i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −1.22281 | − | 1.02606i | −0.0564041 | − | 0.0473286i | ||||
\(471\) | 5.18732 | + | 1.88803i | 0.239019 | + | 0.0869958i | ||||
\(472\) | 23.3858 | + | 19.6230i | 1.07642 | + | 0.903222i | ||||
\(473\) | 2.84389 | − | 16.1285i | 0.130762 | − | 0.741590i | ||||
\(474\) | 1.62907 | + | 2.82163i | 0.0748257 | + | 0.129602i | ||||
\(475\) | −5.56077 | − | 2.63263i | −0.255146 | − | 0.120793i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −15.5890 | + | 5.67393i | −0.713771 | + | 0.259791i | ||||
\(478\) | 19.2754 | − | 7.01568i | 0.881638 | − | 0.320890i | ||||
\(479\) | −4.42056 | − | 25.0702i | −0.201981 | − | 1.14549i | −0.902121 | − | 0.431483i | \(-0.857990\pi\) |
0.700140 | − | 0.714005i | \(-0.253121\pi\) | |||||||
\(480\) | 7.13816 | − | 2.59808i | 0.325811 | − | 0.118585i | ||||
\(481\) | 3.39440 | − | 2.84824i | 0.154771 | − | 0.129869i | ||||
\(482\) | −0.130882 | − | 0.226694i | −0.00596150 | − | 0.0103256i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0.735604 | + | 0.267738i | 0.0334366 | + | 0.0121699i | ||||
\(485\) | 0.801537 | + | 4.54574i | 0.0363959 | + | 0.206411i | ||||
\(486\) | −5.54071 | − | 9.59679i | −0.251332 | − | 0.435319i | ||||
\(487\) | −22.5107 | −1.02006 | −0.510029 | − | 0.860157i | \(-0.670365\pi\) | ||||
−0.510029 | + | 0.860157i | \(0.670365\pi\) | |||||||
\(488\) | −9.54054 | + | 8.00547i | −0.431880 | + | 0.362390i | ||||
\(489\) | −0.824292 | − | 0.691663i | −0.0372758 | − | 0.0312781i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 2.71482 | − | 15.3965i | 0.122518 | − | 0.694835i | −0.860233 | − | 0.509902i | \(-0.829682\pi\) |
0.982751 | − | 0.184934i | \(-0.0592071\pi\) | |||||||
\(492\) | 2.24510 | + | 1.88386i | 0.101217 | + | 0.0849311i | ||||
\(493\) | 2.86571 | − | 4.96356i | 0.129065 | − | 0.223548i | ||||
\(494\) | 11.7292 | − | 16.5448i | 0.527722 | − | 0.744387i | ||||
\(495\) | −11.7344 | − | 20.3246i | −0.527423 | − | 0.913524i | ||||
\(496\) | 0.0765042 | − | 0.0278452i | 0.00343514 | − | 0.00125029i | ||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0.900578 | − | 0.755675i | 0.0403559 | − | 0.0338626i | ||||
\(499\) | −4.96926 | + | 28.1820i | −0.222454 | + | 1.26160i | 0.645038 | + | 0.764151i | \(0.276842\pi\) |
−0.867492 | + | 0.497451i | \(0.834269\pi\) | |||||||
\(500\) | 10.4740 | + | 3.81223i | 0.468412 | + | 0.170488i | ||||
\(501\) | −12.3746 | −0.552858 | ||||||||
\(502\) | −14.2439 | −0.635737 | ||||||||
\(503\) | 23.5351 | + | 8.56607i | 1.04938 | + | 0.381942i | 0.808428 | − | 0.588595i | \(-0.200319\pi\) |
0.240950 | + | 0.970538i | \(0.422541\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −10.0287 | + | 17.3702i | −0.446271 | + | 0.772963i | ||||
\(506\) | −2.63816 | + | 4.56942i | −0.117280 | + | 0.203135i | ||||
\(507\) | −7.49660 | − | 2.72854i | −0.332936 | − | 0.121179i | ||||
\(508\) | −0.116440 | + | 0.0423806i | −0.00516617 | + | 0.00188033i | ||||
\(509\) | −31.4996 | − | 11.4649i | −1.39619 | − | 0.508173i | −0.469148 | − | 0.883119i | \(-0.655439\pi\) |
−0.927047 | + | 0.374946i | \(0.877661\pi\) | |||||||
\(510\) | −0.340022 | + | 1.92836i | −0.0150564 | + | 0.0853893i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −0.473897 | −0.0209435 | ||||||||
\(513\) | 7.66843 | − | 10.8168i | 0.338570 | − | 0.477575i | ||||
\(514\) | −6.75150 | + | 11.6939i | −0.297796 | + | 0.515797i | ||||
\(515\) | 0.00639661 | − | 0.0362770i | 0.000281868 | − | 0.00159856i | ||||
\(516\) | 2.94444 | − | 1.07169i | 0.129622 | − | 0.0471785i | ||||
\(517\) | 1.87346 | − | 1.57202i | 0.0823945 | − | 0.0691372i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0.0828445 | + | 0.469834i | 0.00363647 | + | 0.0206234i | ||||
\(520\) | 19.0069 | − | 32.9209i | 0.833506 | − | 1.44367i | ||||
\(521\) | 13.7392 | + | 23.7969i | 0.601924 | + | 1.04256i | 0.992530 | + | 0.122005i | \(0.0389323\pi\) |
−0.390606 | + | 0.920558i | \(0.627734\pi\) | |||||||
\(522\) | 6.34705 | − | 5.32581i | 0.277803 | − | 0.233104i | ||||
\(523\) | −1.79854 | − | 10.2000i | −0.0786448 | − | 0.446017i | −0.998548 | − | 0.0538712i | \(-0.982844\pi\) |
0.919903 | − | 0.392146i | \(-0.128267\pi\) | |||||||
\(524\) | −1.86262 | + | 3.22615i | −0.0813687 | + | 0.140935i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 1.47255 | + | 8.35126i | 0.0642064 | + | 0.364132i | ||||
\(527\) | 0.557781 | − | 3.16333i | 0.0242973 | − | 0.137797i | ||||
\(528\) | −0.0132037 | − | 0.0748822i | −0.000574619 | − | 0.00325883i | ||||
\(529\) | −15.2494 | − | 12.7958i | −0.663019 | − | 0.556339i | ||||
\(530\) | 10.4153 | + | 8.73951i | 0.452414 | + | 0.379620i | ||||
\(531\) | 29.2303 | 1.26849 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 23.7570 | 1.02903 | ||||||||
\(534\) | −0.818363 | − | 0.686688i | −0.0354140 | − | 0.0297159i | ||||
\(535\) | 6.89440 | + | 5.78509i | 0.298071 | + | 0.250111i | ||||
\(536\) | −7.00269 | − | 39.7142i | −0.302470 | − | 1.71539i | ||||
\(537\) | −1.96972 | + | 11.1708i | −0.0849998 | + | 0.482058i | ||||
\(538\) | −2.79127 | − | 15.8301i | −0.120340 | − | 0.682483i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 4.72416 | − | 8.18248i | 0.203295 | − | 0.352118i | ||||
\(541\) | 0.438348 | + | 2.48600i | 0.0188461 | + | 0.106881i | 0.992780 | − | 0.119952i | \(-0.0382739\pi\) |
−0.973934 | + | 0.226833i | \(0.927163\pi\) | |||||||
\(542\) | 12.7751 | − | 10.7196i | 0.548739 | − | 0.460447i | ||||
\(543\) | 4.28312 | + | 7.41858i | 0.183806 | + | 0.318362i | ||||
\(544\) | −4.65910 | + | 8.06980i | −0.199757 | + | 0.345990i | ||||
\(545\) | −3.24035 | − | 18.3770i | −0.138801 | − | 0.787182i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.87939 | − | 4.93339i | 0.251384 | − | 0.210937i | −0.508384 | − | 0.861131i | \(-0.669757\pi\) |
0.759768 | + | 0.650194i | \(0.225312\pi\) | |||||||
\(548\) | 22.5236 | − | 8.19793i | 0.962162 | − | 0.350198i | ||||
\(549\) | −2.07074 | + | 11.7437i | −0.0883769 | + | 0.501210i | ||||
\(550\) | −2.11721 | + | 3.66712i | −0.0902782 | + | 0.156366i | ||||
\(551\) | 13.6625 | + | 6.46821i | 0.582042 | + | 0.275555i | ||||
\(552\) | −2.65539 | −0.113021 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 2.10179 | − | 11.9198i | 0.0892963 | − | 0.506425i | ||||
\(555\) | −1.06031 | − | 0.385920i | −0.0450075 | − | 0.0163814i | ||||
\(556\) | 17.7481 | − | 6.45978i | 0.752687 | − | 0.273956i | ||||
\(557\) | −3.05943 | − | 1.11354i | −0.129632 | − | 0.0471823i | 0.276389 | − | 0.961046i | \(-0.410862\pi\) |
−0.406022 | + | 0.913863i | \(0.633084\pi\) | |||||||
\(558\) | 2.32177 | − | 4.02142i | 0.0982882 | − | 0.170240i | ||||
\(559\) | 12.6998 | − | 21.9967i | 0.537145 | − | 0.930362i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −2.81908 | − | 1.02606i | −0.119022 | − | 0.0433203i | ||||
\(562\) | 11.5297 | 0.486352 | ||||||||
\(563\) | 5.25908 | 0.221644 | 0.110822 | − | 0.993840i | \(-0.464652\pi\) | ||||
0.110822 | + | 0.993840i | \(0.464652\pi\) | |||||||
\(564\) | 0.439693 | + | 0.160035i | 0.0185144 | + | 0.00673869i | ||||
\(565\) | −3.24376 | + | 18.3963i | −0.136466 | + | 0.773936i | ||||
\(566\) | −11.7062 | + | 9.82267i | −0.492048 | + | 0.412878i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −36.6860 | + | 13.3526i | −1.53931 | + | 0.560264i | ||||
\(569\) | 14.9782 | + | 25.9430i | 0.627918 | + | 1.08759i | 0.987969 | + | 0.154653i | \(0.0494260\pi\) |
−0.360051 | + | 0.932933i | \(0.617241\pi\) | |||||||
\(570\) | −5.14203 | − | 0.480105i | −0.215376 | − | 0.0201094i | ||||
\(571\) | 8.35504 | − | 14.4713i | 0.349647 | − | 0.605607i | −0.636539 | − | 0.771244i | \(-0.719635\pi\) |
0.986187 | + | 0.165637i | \(0.0529680\pi\) | |||||||
\(572\) | 16.9611 | + | 14.2321i | 0.709179 | + | 0.595072i | ||||
\(573\) | 1.75078 | − | 9.92917i | 0.0731399 | − | 0.414797i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.90167 | + | 1.59569i | 0.0793053 | + | 0.0665450i | ||||
\(576\) | −10.4934 | + | 8.80504i | −0.437227 | + | 0.366877i | ||||
\(577\) | −13.6800 | −0.569508 | −0.284754 | − | 0.958601i | \(-0.591912\pi\) | ||||
−0.284754 | + | 0.958601i | \(0.591912\pi\) | |||||||
\(578\) | 6.27379 | + | 10.8665i | 0.260955 | + | 0.451987i | ||||
\(579\) | 1.19207 | + | 6.76055i | 0.0495406 | + | 0.280959i | ||||
\(580\) | 10.1220 | + | 3.68409i | 0.420291 | + | 0.152974i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0.426489 | + | 0.738700i | 0.0176785 | + | 0.0306201i | ||||
\(583\) | −15.9572 | + | 13.3897i | −0.660881 | + | 0.554545i | ||||
\(584\) | −20.0446 | + | 7.29563i | −0.829451 | + | 0.301895i | ||||
\(585\) | −6.32042 | − | 35.8449i | −0.261317 | − | 1.48200i | ||||
\(586\) | −12.8944 | + | 4.69318i | −0.532663 | + | 0.193873i | ||||
\(587\) | 22.5872 | − | 8.22108i | 0.932275 | − | 0.339320i | 0.169164 | − | 0.985588i | \(-0.445893\pi\) |
0.763111 | + | 0.646268i | \(0.223671\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 8.43511 | + | 0.787576i | 0.347563 | + | 0.0324515i | ||||
\(590\) | −11.9782 | − | 20.7468i | −0.493134 | − | 0.854133i | ||||
\(591\) | −2.14362 | + | 12.1571i | −0.0881767 | + | 0.500075i | ||||
\(592\) | 0.0268743 | + | 0.0225502i | 0.00110453 | + | 0.000926809i | ||||
\(593\) | 3.98545 | + | 1.45059i | 0.163663 | + | 0.0595684i | 0.422552 | − | 0.906339i | \(-0.361134\pi\) |
−0.258889 | + | 0.965907i | \(0.583357\pi\) | |||||||
\(594\) | −6.99067 | − | 5.86587i | −0.286831 | − | 0.240679i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.31016 | − | 4.00131i | −0.0946276 | − | 0.163900i | ||||
\(597\) | 4.90673 | 0.200819 | ||||||||
\(598\) | −6.26857 | + | 5.25996i | −0.256341 | + | 0.215096i | ||||
\(599\) | −20.1270 | + | 16.8886i | −0.822367 | + | 0.690048i | −0.953525 | − | 0.301313i | \(-0.902575\pi\) |
0.131158 | + | 0.991362i | \(0.458131\pi\) | |||||||
\(600\) | −2.13104 | −0.0869995 | ||||||||
\(601\) | 21.1197 | + | 36.5805i | 0.861492 | + | 1.49215i | 0.870489 | + | 0.492188i | \(0.163803\pi\) |
−0.00899659 | + | 0.999960i | \(0.502864\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −29.5790 | − | 24.8198i | −1.20455 | − | 1.01074i | ||||
\(604\) | −16.8252 | − | 6.12386i | −0.684606 | − | 0.249176i | ||||
\(605\) | −1.23783 | − | 1.03866i | −0.0503248 | − | 0.0422275i | ||||
\(606\) | −0.643619 | + | 3.65014i | −0.0261452 | + | 0.148277i | ||||
\(607\) | 11.0484 | + | 19.1365i | 0.448443 | + | 0.776725i | 0.998285 | − | 0.0585431i | \(-0.0186455\pi\) |
−0.549842 | + | 0.835269i | \(0.685312\pi\) | |||||||
\(608\) | −22.2126 | − | 10.5161i | −0.900840 | − | 0.426483i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 9.18392 | − | 3.34267i | 0.371846 | − | 0.135341i | ||||
\(611\) | 3.56418 | − | 1.29725i | 0.144191 | − | 0.0524813i | ||||
\(612\) | 0.956462 | + | 5.42437i | 0.0386627 | + | 0.219267i | ||||
\(613\) | −6.74422 | + | 2.45470i | −0.272397 | + | 0.0991442i | −0.474607 | − | 0.880198i | \(-0.657410\pi\) |
0.202210 | + | 0.979342i | \(0.435188\pi\) | |||||||
\(614\) | 14.4971 | − | 12.1645i | 0.585054 | − | 0.490918i | ||||
\(615\) | −3.02481 | − | 5.23913i | −0.121972 | − | 0.211262i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 46.3953 | + | 16.8865i | 1.86781 | + | 0.679826i | 0.971811 | + | 0.235761i | \(0.0757583\pi\) |
0.895995 | + | 0.444065i | \(0.146464\pi\) | |||||||
\(618\) | −0.00118205 | − | 0.00670372i | −4.75489e−5 | − | 0.000269663i | ||||
\(619\) | −13.2490 | − | 22.9479i | −0.532521 | − | 0.922354i | −0.999279 | − | 0.0379684i | \(-0.987911\pi\) |
0.466758 | − | 0.884385i | \(-0.345422\pi\) | |||||||
\(620\) | 6.03684 | 0.242445 | ||||||||
\(621\) | −4.09833 | + | 3.43890i | −0.164460 | + | 0.137998i | ||||
\(622\) | 9.76470 | + | 8.19356i | 0.391529 | + | 0.328532i | ||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0.0204777 | − | 0.116135i | 0.000819764 | − | 0.00464911i | ||||
\(625\) | −23.0312 | − | 19.3255i | −0.921248 | − | 0.773019i | ||||
\(626\) | −8.58213 | + | 14.8647i | −0.343011 | + | 0.594112i | ||||
\(627\) | 2.09240 | − | 7.63063i | 0.0835623 | − | 0.304738i | ||||
\(628\) | −6.36319 | − | 11.0214i | −0.253919 | − | 0.439800i | ||||
\(629\) | 1.30066 | − | 0.473401i | 0.0518607 | − | 0.0188757i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 25.5253 | − | 21.4183i | 1.01615 | − | 0.852647i | 0.0270071 | − | 0.999635i | \(-0.491402\pi\) |
0.989138 | + | 0.146988i | \(0.0469579\pi\) | |||||||
\(632\) | 3.43093 | − | 19.4578i | 0.136475 | − | 0.773989i | ||||
\(633\) | −7.31180 | − | 2.66128i | −0.290618 | − | 0.105776i | ||||
\(634\) | 24.9282 | 0.990025 | ||||||||
\(635\) | 0.255777 | 0.0101502 | ||||||||
\(636\) | −3.74510 | − | 1.36310i | −0.148503 | − | 0.0540506i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 5.20187 | − | 9.00990i | 0.205944 | − | 0.356705i | ||||
\(639\) | −18.6905 | + | 32.3729i | −0.739384 | + | 1.28065i | ||||
\(640\) | −16.2811 | − | 5.92582i | −0.643565 | − | 0.234239i | ||||
\(641\) | 0.127889 | − | 0.0465477i | 0.00505130 | − | 0.00183852i | −0.339493 | − | 0.940608i | \(-0.610256\pi\) |
0.344545 | + | 0.938770i | \(0.388033\pi\) | |||||||
\(642\) | 1.56283 | + | 0.568825i | 0.0616801 | + | 0.0224497i | ||||
\(643\) | 8.36602 | − | 47.4461i | 0.329924 | − | 1.87109i | −0.142613 | − | 0.989779i | \(-0.545550\pi\) |
0.472536 | − | 0.881311i | \(-0.343339\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −6.46791 | −0.254674 | ||||||||
\(646\) | 5.21048 | − | 3.60331i | 0.205004 | − | 0.141771i | ||||
\(647\) | 18.4859 | − | 32.0186i | 0.726756 | − | 1.25878i | −0.231490 | − | 0.972837i | \(-0.574360\pi\) |
0.958247 | − | 0.285942i | \(-0.0923065\pi\) | |||||||
\(648\) | −3.21853 | + | 18.2532i | −0.126436 | + | 0.717053i | ||||
\(649\) | 34.4898 | − | 12.5533i | 1.35384 | − | 0.492758i | ||||
\(650\) | −5.03074 | + | 4.22130i | −0.197322 | + | 0.165573i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.430770 | + | 2.44302i | 0.0168702 | + | 0.0956759i | ||||
\(653\) | −13.5000 | + | 23.3827i | −0.528296 | + | 0.915035i | 0.471160 | + | 0.882048i | \(0.343835\pi\) |
−0.999456 | + | 0.0329874i | \(0.989498\pi\) | |||||||
\(654\) | −1.72416 | − | 2.98632i | −0.0674198 | − | 0.116775i | ||||
\(655\) | 5.89053 | − | 4.94274i | 0.230162 | − | 0.193129i | ||||
\(656\) | 0.0326615 | + | 0.185233i | 0.00127522 | + | 0.00723212i | ||||
\(657\) | −10.2121 | + | 17.6879i | −0.398413 | + | 0.690072i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.27760 | + | 18.5882i | 0.127677 | + | 0.724093i | 0.979682 | + | 0.200559i | \(0.0642757\pi\) |
−0.852005 | + | 0.523534i | \(0.824613\pi\) | |||||||
\(660\) | 0.979055 | − | 5.55250i | 0.0381097 | − | 0.216131i | ||||
\(661\) | −5.31567 | − | 30.1467i | −0.206756 | − | 1.17257i | −0.894653 | − | 0.446762i | \(-0.852577\pi\) |
0.687897 | − | 0.725808i | \(-0.258534\pi\) | |||||||
\(662\) | −1.15199 | − | 0.966633i | −0.0447733 | − | 0.0375693i | ||||
\(663\) | −3.56418 | − | 2.99070i | −0.138421 | − | 0.116149i | ||||
\(664\) | −7.12918 | −0.276666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.00093 | 0.0775346 | ||||||||
\(667\) | −4.67230 | − | 3.92053i | −0.180912 | − | 0.151803i | ||||
\(668\) | 21.8542 | + | 18.3378i | 0.845563 | + | 0.709511i | ||||
\(669\) | −0.278533 | − | 1.57964i | −0.0107687 | − | 0.0610724i | ||||
\(670\) | −5.49525 | + | 31.1651i | −0.212300 | + | 1.20401i | ||||
\(671\) | 2.60014 | + | 14.7461i | 0.100377 | + | 0.569267i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.95471 | + | 10.3139i | −0.229537 | + | 0.397570i | −0.957671 | − | 0.287865i | \(-0.907055\pi\) |
0.728134 | + | 0.685435i | \(0.240388\pi\) | |||||||
\(674\) | 3.88460 | + | 22.0307i | 0.149629 | + | 0.848589i | ||||
\(675\) | −3.28905 | + | 2.75984i | −0.126596 | + | 0.106226i | ||||
\(676\) | 9.19594 | + | 15.9278i | 0.353690 | + | 0.612609i | ||||
\(677\) | −2.89053 | + | 5.00654i | −0.111092 | + | 0.192417i | −0.916211 | − | 0.400696i | \(-0.868768\pi\) |
0.805119 | + | 0.593114i | \(0.202102\pi\) | |||||||
\(678\) | 0.599422 | + | 3.39949i | 0.0230207 | + | 0.130557i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 9.09627 | − | 7.63267i | 0.348826 | − | 0.292700i | ||||
\(681\) | 6.86097 | − | 2.49719i | 0.262913 | − | 0.0956924i | ||||
\(682\) | 1.01249 | − | 5.74211i | 0.0387702 | − | 0.219877i | ||||
\(683\) | −10.5248 | + | 18.2295i | −0.402721 | + | 0.697533i | −0.994053 | − | 0.108895i | \(-0.965269\pi\) |
0.591332 | + | 0.806428i | \(0.298602\pi\) | |||||||
\(684\) | −14.0538 | + | 3.67799i | −0.537361 | + | 0.140631i | ||||
\(685\) | −49.4766 | −1.89040 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.869833 | − | 4.93307i | 0.0331862 | − | 0.188208i | ||||
\(688\) | 0.188968 | + | 0.0687786i | 0.00720432 | + | 0.00262216i | ||||
\(689\) | −30.3580 | + | 11.0494i | −1.15655 | + | 0.420949i | ||||
\(690\) | 1.95811 | + | 0.712694i | 0.0745440 | + | 0.0271318i | ||||
\(691\) | 16.4688 | − | 28.5249i | 0.626504 | − | 1.08514i | −0.361744 | − | 0.932278i | \(-0.617818\pi\) |
0.988248 | − | 0.152860i | \(-0.0488483\pi\) | |||||||
\(692\) | 0.549935 | − | 0.952515i | 0.0209054 | − | 0.0362092i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −6.36484 | − | 2.31661i | −0.241606 | − | 0.0879374i | ||||
\(695\) | −38.9864 | −1.47884 | ||||||||
\(696\) | 5.23585 | 0.198464 | ||||||||
\(697\) | 6.97343 | + | 2.53812i | 0.264138 | + | 0.0961382i | ||||
\(698\) | 3.47508 | − | 19.7082i | 0.131534 | − | 0.745965i | ||||
\(699\) | −9.85819 | + | 8.27201i | −0.372871 | + | 0.312876i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −20.0694 | + | 7.30466i | −0.758010 | + | 0.275893i | −0.691973 | − | 0.721924i | \(-0.743258\pi\) |
−0.0660380 | + | 0.997817i | \(0.521036\pi\) | |||||||
\(702\) | −7.07650 | − | 12.2569i | −0.267085 | − | 0.462606i | ||||
\(703\) | 1.52347 | + | 3.31747i | 0.0574588 | + | 0.125121i | ||||
\(704\) | −8.60014 | + | 14.8959i | −0.324130 | + | 0.561409i | ||||
\(705\) | −0.739885 | − | 0.620838i | −0.0278657 | − | 0.0233821i | ||||
\(706\) | −1.74779 | + | 9.91220i | −0.0657789 | + | 0.373051i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 5.37939 | + | 4.51384i | 0.202170 | + | 0.169641i | ||||
\(709\) | −12.0810 | + | 10.1372i | −0.453712 | + | 0.380709i | −0.840811 | − | 0.541329i | \(-0.817921\pi\) |
0.387099 | + | 0.922038i | \(0.373477\pi\) | |||||||
\(710\) | 30.6364 | 1.14976 | ||||||||
\(711\) | −9.45904 | − | 16.3835i | −0.354742 | − | 0.614431i | ||||
\(712\) | 1.12495 | + | 6.37992i | 0.0421594 | + | 0.239098i | ||||
\(713\) | −3.21213 | − | 1.16912i | −0.120295 | − | 0.0437839i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −22.8516 | − | 39.5802i | −0.854603 | − | 1.48022i | ||||
\(716\) | 20.0326 | − | 16.8093i | 0.748652 | − | 0.628193i | ||||
\(717\) | 11.6630 | − | 4.24497i | 0.435562 | − | 0.158531i | ||||
\(718\) | 1.58569 | + | 8.99292i | 0.0591776 | + | 0.335613i | ||||
\(719\) | 33.1977 | − | 12.0830i | 1.23807 | − | 0.450620i | 0.361714 | − | 0.932289i | \(-0.382192\pi\) |
0.876353 | + | 0.481669i | \(0.159969\pi\) | |||||||
\(720\) | 0.270792 | − | 0.0985603i | 0.0100918 | − | 0.00367313i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 10.5899 | + | 12.9237i | 0.394114 | + | 0.480971i | ||||
\(723\) | −0.0791925 | − | 0.137165i | −0.00294520 | − | 0.00510124i | ||||
\(724\) | 3.42932 | − | 19.4486i | 0.127450 | − | 0.722803i | ||||
\(725\) | −3.74969 | − | 3.14636i | −0.139260 | − | 0.116853i | ||||
\(726\) | −0.280592 | − | 0.102127i | −0.0104138 | − | 0.00379030i | ||||
\(727\) | 30.9647 | + | 25.9825i | 1.14842 | + | 0.963637i | 0.999681 | − | 0.0252396i | \(-0.00803487\pi\) |
0.148737 | + | 0.988877i | \(0.452479\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 6.44562 | + | 11.1641i | 0.238727 | + | 0.413487i | ||||
\(730\) | 16.7392 | 0.619544 | ||||||||
\(731\) | 6.07785 | − | 5.09992i | 0.224797 | − | 0.188627i | ||||
\(732\) | −2.19459 | + | 1.84148i | −0.0811145 | + | 0.0680631i | ||||
\(733\) | −36.2763 | −1.33990 | −0.669948 | − | 0.742408i | \(-0.733684\pi\) | ||||
−0.669948 | + | 0.742408i | \(0.733684\pi\) | |||||||
\(734\) | 14.3045 | + | 24.7762i | 0.527990 | + | 0.914505i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 7.59627 | + | 6.37402i | 0.280002 | + | 0.234950i | ||||
\(737\) | −45.5604 | − | 16.5826i | −1.67824 | − | 0.610829i | ||||
\(738\) | 8.21806 | + | 6.89577i | 0.302511 | + | 0.253837i | ||||
\(739\) | −3.59034 | + | 20.3618i | −0.132073 | + | 0.749021i | 0.844781 | + | 0.535112i | \(0.179731\pi\) |
−0.976854 | + | 0.213909i | \(0.931380\pi\) | |||||||
\(740\) | 1.30066 | + | 2.25281i | 0.0478132 | + | 0.0828149i | ||||
\(741\) | 7.09698 | − | 10.0108i | 0.260714 | − | 0.367754i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −6.29978 | + | 2.29293i | −0.231117 | + | 0.0841196i | −0.454982 | − | 0.890500i | \(-0.650354\pi\) |
0.223866 | + | 0.974620i | \(0.428132\pi\) | |||||||
\(744\) | 2.75743 | − | 1.00362i | 0.101092 | − | 0.0367945i | ||||
\(745\) | 1.65611 | + | 9.39225i | 0.0606751 | + | 0.344105i | ||||
\(746\) | −25.1920 | + | 9.16912i | −0.922343 | + | 0.335705i | ||||
\(747\) | −5.22912 | + | 4.38775i | −0.191324 | + | 0.160540i | ||||
\(748\) | 3.45811 | + | 5.98962i | 0.126441 | + | 0.219002i | ||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −3.99525 | − | 1.45415i | −0.145886 | − | 0.0530982i | ||||
\(751\) | 1.85932 | + | 10.5447i | 0.0678475 | + | 0.384782i | 0.999756 | + | 0.0220888i | \(0.00703166\pi\) |
−0.931909 | + | 0.362693i | \(0.881857\pi\) | |||||||
\(752\) | 0.0150147 | + | 0.0260063i | 0.000547531 | + | 0.000948352i | ||||
\(753\) | −8.61856 | −0.314078 | ||||||||
\(754\) | 12.3603 | − | 10.3715i | 0.450134 | − | 0.377707i | ||||
\(755\) | 28.3123 | + | 23.7568i | 1.03039 | + | 0.864599i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.705432 | + | 4.00071i | −0.0256394 | + | 0.145408i | −0.994940 | − | 0.100470i | \(-0.967965\pi\) |
0.969301 | + | 0.245878i | \(0.0790764\pi\) | |||||||
\(758\) | 12.0312 | + | 10.0954i | 0.436993 | + | 0.366681i | ||||
\(759\) | −1.59627 | + | 2.76481i | −0.0579408 | + | 0.100356i | ||||
\(760\) | 22.0155 | + | 22.2738i | 0.798585 | + | 0.807956i | ||||
\(761\) | 5.50387 | + | 9.53298i | 0.199515 | + | 0.345570i | 0.948371 | − | 0.317162i | \(-0.102730\pi\) |
−0.748856 | + | 0.662733i | \(0.769397\pi\) | |||||||
\(762\) | 0.0444153 | − | 0.0161658i | 0.00160900 | − | 0.000585627i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −17.8059 | + | 14.9409i | −0.644194 | + | 0.540543i | ||||
\(765\) | 1.97431 | − | 11.1969i | 0.0713812 | − | 0.404823i | ||||
\(766\) | 19.3830 | + | 7.05482i | 0.700334 | + | 0.254901i | ||||
\(767\) | 56.9231 | 2.05538 | ||||||||
\(768\) | −8.56717 | −0.309141 | ||||||||
\(769\) | −20.0599 | − | 7.30121i | −0.723378 | − | 0.263288i | −0.0460191 | − | 0.998941i | \(-0.514654\pi\) |
−0.677359 | + | 0.735652i | \(0.736876\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −4.08512 | + | 7.07564i | −0.147122 | + | 0.254823i | ||||
\(772\) | 7.91312 | − | 13.7059i | 0.284800 | − | 0.493287i | ||||
\(773\) | −16.8366 | − | 6.12803i | −0.605571 | − | 0.220410i | 0.0209932 | − | 0.999780i | \(-0.493317\pi\) |
−0.626564 | + | 0.779370i | \(0.715539\pi\) | |||||||
\(774\) | 10.7780 | − | 3.92286i | 0.387406 | − | 0.141004i | ||||
\(775\) | −2.57785 | − | 0.938260i | −0.0925990 | − | 0.0337033i | ||||
\(776\) | 0.898214 | − | 5.09403i | 0.0322440 | − | 0.182865i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.43788 | 0.123254 | ||||||||
\(779\) | −5.17587 | + | 18.8755i | −0.185445 | + | 0.676287i | ||||
\(780\) | 4.37211 | − | 7.57272i | 0.156547 | − | 0.271147i | ||||
\(781\) | −8.15064 | + | 46.2246i | −0.291653 | + | 1.65405i | ||||
\(782\) | −2.40198 | + | 0.874249i | −0.0858946 | + | 0.0312631i | ||||
\(783\) | 8.08100 | − | 6.78077i | 0.288792 | − | 0.242325i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 4.56165 | + | 25.8704i | 0.162812 | + | 0.923355i | ||||
\(786\) | 0.710485 | − | 1.23060i | 0.0253422 | − | 0.0438939i | ||||
\(787\) | −24.4158 | − | 42.2894i | −0.870330 | − | 1.50746i | −0.861656 | − | 0.507493i | \(-0.830572\pi\) |
−0.00867371 | − | 0.999962i | \(-0.502761\pi\) | |||||||
\(788\) | 21.8011 | − | 18.2933i | 0.776633 | − | 0.651672i | ||||
\(789\) | 0.890996 | + | 5.05309i | 0.0317203 | + | 0.179895i | ||||
\(790\) | −7.75237 | + | 13.4275i | −0.275817 | + | 0.477729i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 4.56687 | + | 25.9000i | 0.162277 | + | 0.920316i | ||||
\(793\) | −4.03256 | + | 22.8698i | −0.143200 | + | 0.812129i | ||||
\(794\) | 1.36808 | + | 7.75876i | 0.0485513 | + | 0.275348i | ||||
\(795\) | 6.30200 | + | 5.28801i | 0.223509 | + | 0.187546i | ||||
\(796\) | −8.66550 | − | 7.27122i | −0.307140 | − | 0.257721i | ||||
\(797\) | −28.5262 | −1.01045 | −0.505225 | − | 0.862988i | \(-0.668591\pi\) | ||||
−0.505225 | + | 0.862988i | \(0.668591\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.18479 | 0.0419149 | ||||||||
\(800\) | 6.09627 | + | 5.11538i | 0.215536 | + | 0.180856i | ||||
\(801\) | 4.75174 | + | 3.98719i | 0.167895 | + | 0.140880i | ||||
\(802\) | −0.309582 | − | 1.75573i | −0.0109317 | − | 0.0619969i | ||||
\(803\) | −4.45336 | + | 25.2563i | −0.157156 | + | 0.891275i | ||||
\(804\) | −1.61081 | − | 9.13538i | −0.0568091 | − | 0.322180i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.52141 | − | 7.83131i | 0.159260 | − | 0.275846i | ||||
\(807\) | −1.68891 | − | 9.57829i | −0.0594525 | − | 0.337172i | ||||
\(808\) | 17.2181 | − | 14.4477i | 0.605729 | − | 0.508267i | ||||
\(809\) | 7.41834 | + | 12.8489i | 0.260815 | + | 0.451745i | 0.966459 | − | 0.256822i | \(-0.0826755\pi\) |
−0.705644 | + | 0.708567i | \(0.749342\pi\) | |||||||
\(810\) | 7.27244 | − | 12.5962i | 0.255528 | − | 0.442587i | ||||
\(811\) | −1.45471 | − | 8.25006i | −0.0510817 | − | 0.289699i | 0.948556 | − | 0.316609i | \(-0.102544\pi\) |
−0.999638 | + | 0.0269103i | \(0.991433\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 7.72984 | − | 6.48610i | 0.271097 | − | 0.227478i | ||||
\(814\) | 2.36097 | − | 0.859322i | 0.0827518 | − | 0.0301192i | ||||
\(815\) | 0.889185 | − | 5.04282i | 0.0311468 | − | 0.176642i | ||||
\(816\) | 0.0184183 | − | 0.0319015i | 0.000644770 | − | 0.00111677i | ||||
\(817\) | 14.7101 | + | 14.8827i | 0.514640 | + | 0.520679i | ||||
\(818\) | −28.3233 | −0.990299 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −2.42185 | + | 13.7350i | −0.0845746 | + | 0.479646i | ||||
\(821\) | −5.90033 | − | 2.14754i | −0.205923 | − | 0.0749498i | 0.236999 | − | 0.971510i | \(-0.423836\pi\) |
−0.442922 | + | 0.896560i | \(0.646058\pi\) | |||||||
\(822\) | −8.59152 | + | 3.12706i | −0.299664 | + | 0.109069i | ||||
\(823\) | −10.3614 | − | 3.77125i | −0.361177 | − | 0.131458i | 0.155056 | − | 0.987906i | \(-0.450444\pi\) |
−0.516233 | + | 0.856448i | \(0.672666\pi\) | |||||||
\(824\) | −0.0206398 | + | 0.0357492i | −0.000719023 | + | 0.00124538i | ||||
\(825\) | −1.28106 | + | 2.21886i | −0.0446008 | + | 0.0772508i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −31.8892 | − | 11.6067i | −1.10890 | − | 0.403606i | −0.278309 | − | 0.960492i | \(-0.589774\pi\) |
−0.830589 | + | 0.556886i | \(0.811996\pi\) | |||||||
\(828\) | 5.86154 | 0.203703 | ||||||||
\(829\) | −20.3669 | −0.707372 | −0.353686 | − | 0.935364i | \(-0.615072\pi\) | ||||
−0.353686 | + | 0.935364i | \(0.615072\pi\) | |||||||
\(830\) | 5.25712 | + | 1.91344i | 0.182477 | + | 0.0664163i | ||||
\(831\) | 1.27173 | − | 7.21232i | 0.0441157 | − | 0.250192i | ||||
\(832\) | −20.4349 | + | 17.1470i | −0.708454 | + | 0.594464i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | −6.76991 | + | 2.46405i | −0.234423 | + | 0.0853230i | ||||
\(835\) | −29.4440 | − | 50.9986i | −1.01895 | − | 1.76488i | ||||
\(836\) | −15.0030 | + | 10.3753i | −0.518889 | + | 0.358838i | ||||
\(837\) | 2.95605 | − | 5.12003i | 0.102176 | − | 0.176974i | ||||
\(838\) | −15.6623 | − | 13.1422i | −0.541044 | − | 0.453990i | ||||
\(839\) | 2.74526 | − | 15.5692i | 0.0947770 | − | 0.537507i | −0.900038 | − | 0.435810i | \(-0.856462\pi\) |
0.994815 | − | 0.101697i | \(-0.0324271\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −13.0025 | − | 10.9104i | −0.448363 | − | 0.376221i | ||||
\(842\) | 4.34730 | − | 3.64781i | 0.149818 | − | 0.125712i | ||||
\(843\) | 6.97628 | 0.240276 | ||||||||
\(844\) | 8.96926 | + | 15.5352i | 0.308734 | + | 0.534744i | ||||
\(845\) | −6.59240 | − | 37.3873i | −0.226785 | − | 1.28616i | ||||
\(846\) | 1.60947 | + | 0.585799i | 0.0553347 | + | 0.0201402i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −0.127889 | − | 0.221510i | −0.00439172 | − | 0.00760668i | ||||
\(849\) | −7.08306 | + | 5.94340i | −0.243090 | + | 0.203977i | ||||
\(850\) | −1.92767 | + | 0.701615i | −0.0661186 | + | 0.0240652i | ||||
\(851\) | −0.255777 | − | 1.45059i | −0.00876794 | − | 0.0497254i | ||||
\(852\) | −8.43882 | + | 3.07148i | −0.289109 | + | 0.105227i | ||||
\(853\) | 49.4741 | − | 18.0071i | 1.69396 | − | 0.616551i | 0.698845 | − | 0.715274i | \(-0.253698\pi\) |
0.995115 | + | 0.0987227i | \(0.0314757\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 29.8567 | + | 2.78768i | 1.02108 | + | 0.0953368i | ||||
\(856\) | −5.04277 | − | 8.73433i | −0.172358 | − | 0.298533i | ||||
\(857\) | −3.99866 | + | 22.6775i | −0.136591 | + | 0.774649i | 0.837147 | + | 0.546978i | \(0.184222\pi\) |
−0.973738 | + | 0.227670i | \(0.926889\pi\) | |||||||
\(858\) | −6.46972 | − | 5.42874i | −0.220873 | − | 0.185334i | ||||
\(859\) | −8.37211 | − | 3.04720i | −0.285653 | − | 0.103969i | 0.195220 | − | 0.980759i | \(-0.437458\pi\) |
−0.480873 | + | 0.876790i | \(0.659680\pi\) | |||||||
\(860\) | 11.4226 | + | 9.58471i | 0.389508 | + | 0.326836i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 6.15451 | + | 10.6599i | 0.209624 | + | 0.363079i | ||||
\(863\) | 29.7698 | 1.01338 | 0.506688 | − | 0.862129i | \(-0.330870\pi\) | ||||
0.506688 | + | 0.862129i | \(0.330870\pi\) | |||||||
\(864\) | −13.1382 | + | 11.0242i | −0.446969 | + | 0.375052i | ||||
\(865\) | −1.73917 | + | 1.45934i | −0.0591336 | + | 0.0496189i | ||||
\(866\) | −25.2321 | −0.857420 | ||||||||
\(867\) | 3.79607 | + | 6.57499i | 0.128921 | + | 0.223298i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −18.1971 | − | 15.2692i | −0.617295 | − | 0.517972i | ||||
\(870\) | −3.86097 | − | 1.40528i | −0.130899 | − | 0.0476434i | ||||
\(871\) | −57.6023 | − | 48.3340i | −1.95178 | − | 1.63774i | ||||
\(872\) | −3.63119 | + | 20.5935i | −0.122967 | + | 0.697383i | ||||
\(873\) | −2.47637 | − | 4.28919i | −0.0838123 | − | 0.145167i | ||||
\(874\) | −2.81345 | − | 6.12651i | −0.0951665 | − | 0.207232i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −4.61081 | + | 1.67820i | −0.155785 | + | 0.0567011i | ||||
\(877\) | 23.5205 | − | 8.56077i | 0.794232 | − | 0.289077i | 0.0871379 | − | 0.996196i | \(-0.472228\pi\) |
0.707094 | + | 0.707119i | \(0.250006\pi\) | |||||||
\(878\) | −2.03741 | − | 11.5547i | −0.0687592 | − | 0.389953i | ||||
\(879\) | −7.80200 | + | 2.83970i | −0.263155 | + | 0.0957806i | ||||
\(880\) | 0.277189 | − | 0.232589i | 0.00934403 | − | 0.00784057i | ||||
\(881\) | −10.1980 | − | 17.6634i | −0.343579 | − | 0.595097i | 0.641515 | − | 0.767110i | \(-0.278306\pi\) |
−0.985095 | + | 0.172014i | \(0.944973\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 9.98710 | + | 3.63501i | 0.336093 | + | 0.122328i | 0.504553 | − | 0.863381i | \(-0.331657\pi\) |
−0.168460 | + | 0.985708i | \(0.553880\pi\) | |||||||
\(884\) | 1.86262 | + | 10.5634i | 0.0626465 | + | 0.355286i | ||||
\(885\) | −7.24763 | − | 12.5533i | −0.243626 | − | 0.421973i | ||||
\(886\) | 29.7962 | 1.00102 | ||||||||
\(887\) | −43.1580 | + | 36.2138i | −1.44910 | + | 1.21594i | −0.515872 | + | 0.856666i | \(0.672532\pi\) |
−0.933231 | + | 0.359276i | \(0.883024\pi\) | |||||||
\(888\) | 0.968626 | + | 0.812774i | 0.0325050 | + | 0.0272749i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0.882789 | − | 5.00654i | 0.0295911 | − | 0.167820i | ||||
\(891\) | 17.0706 | + | 14.3239i | 0.571886 | + | 0.479869i | ||||
\(892\) | −1.84895 | + | 3.20247i | −0.0619073 | + | 0.107227i | ||||
\(893\) | 0.254185 | + | 3.11446i | 0.00850597 | + | 0.104221i | ||||
\(894\) | 0.881196 | + | 1.52628i | 0.0294716 | + | 0.0510463i | ||||
\(895\) | −50.7242 | + | 18.4621i | −1.69552 | + | 0.617120i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −3.79292 | + | 3.18264i | −0.126642 | + | 0.106265i | ||||
\(898\) | 2.87696 | − | 16.3161i | 0.0960056 | − | 0.544475i | ||||
\(899\) | 6.33363 | + | 2.30525i | 0.211238 | + | 0.0768844i | ||||
\(900\) | 4.70409 | 0.156803 | ||||||||
\(901\) | −10.0915 | −0.336197 | ||||||||
\(902\) | 12.6582 | + | 4.60722i | 0.421473 | + | 0.153404i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 10.4666 | − | 18.1286i | 0.348113 | − | 0.602949i | ||||
\(905\) | −20.3824 | + | 35.3033i | −0.677533 | + | 1.17352i | ||||
\(906\) | 6.41787 | + | 2.33591i | 0.213219 | + | 0.0776055i | ||||
\(907\) | 5.56640 | − | 2.02600i | 0.184829 | − | 0.0672723i | −0.247948 | − | 0.968773i | \(-0.579756\pi\) |
0.432777 | + | 0.901501i | \(0.357534\pi\) | |||||||
\(908\) | −15.8173 | − | 5.75703i | −0.524916 | − | 0.191054i | ||||
\(909\) | 3.73711 | − | 21.1942i | 0.123952 | − | 0.702968i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −34.0591 | −1.12843 | −0.564215 | − | 0.825628i | \(-0.690821\pi\) | ||||
−0.564215 | + | 0.825628i | \(0.690821\pi\) | |||||||
\(912\) | 0.0878107 | + | 0.0415720i | 0.00290770 | + | 0.00137659i | ||||
\(913\) | −4.28564 | + | 7.42295i | −0.141834 | + | 0.245664i | ||||
\(914\) | 2.18046 | − | 12.3660i | 0.0721231 | − | 0.409030i | ||||
\(915\) | 5.55690 | − | 2.02255i | 0.183706 | − | 0.0668634i | ||||
\(916\) | −8.84642 | + | 7.42303i | −0.292294 | + | 0.245264i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | −0.767693 | − | 4.35381i | −0.0253377 | − | 0.143697i | ||||
\(919\) | 3.13697 | − | 5.43340i | 0.103479 | − | 0.179231i | −0.809637 | − | 0.586931i | \(-0.800336\pi\) |
0.913116 | + | 0.407700i | \(0.133669\pi\) | |||||||
\(920\) | −6.31820 | − | 10.9434i | −0.208305 | − | 0.360795i | ||||
\(921\) | 8.77173 | − | 7.36035i | 0.289038 | − | 0.242532i | ||||
\(922\) | −2.12687 | − | 12.0621i | −0.0700447 | − | 0.397243i | ||||
\(923\) | −36.3979 | + | 63.0429i | −1.19805 | + | 2.07508i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −0.205270 | − | 1.16415i | −0.00674924 | − | 0.0382769i | ||||
\(926\) | −0.269200 | + | 1.52671i | −0.00884645 | + | 0.0501707i | ||||
\(927\) | 0.00686344 | + | 0.0389245i | 0.000225425 | + | 0.00127845i | ||||
\(928\) | −14.9782 | − | 12.5682i | −0.491683 | − | 0.412571i | ||||
\(929\) | 21.6969 | + | 18.2058i | 0.711851 | + | 0.597314i | 0.925118 | − | 0.379680i | \(-0.123966\pi\) |
−0.213267 | + | 0.976994i | \(0.568410\pi\) | |||||||
\(930\) | −2.30272 | −0.0755091 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 29.6682 | 0.971814 | ||||||||
\(933\) | 5.90832 | + | 4.95767i | 0.193430 | + | 0.162307i | ||||
\(934\) | 14.8485 | + | 12.4594i | 0.485857 | + | 0.407682i | ||||
\(935\) | −2.47906 | − | 14.0594i | −0.0810738 | − | 0.459792i | ||||
\(936\) | −7.08276 | + | 40.1683i | −0.231507 | + | 1.31294i | ||||
\(937\) | −3.48545 | − | 19.7670i | −0.113865 | − | 0.645759i | −0.987306 | − | 0.158830i | \(-0.949228\pi\) |
0.873441 | − | 0.486930i | \(-0.161883\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | −5.19278 | + | 8.99416i | −0.169460 | + | 0.293513i | ||||
\(940\) | 0.386659 | + | 2.19285i | 0.0126114 | + | 0.0715230i | ||||
\(941\) | 4.13294 | − | 3.46795i | 0.134730 | − | 0.113052i | −0.572932 | − | 0.819603i | \(-0.694194\pi\) |
0.707662 | + | 0.706551i | \(0.249750\pi\) | |||||||
\(942\) | 2.42720 | + | 4.20404i | 0.0790826 | + | 0.136975i | ||||
\(943\) | 3.94862 | − | 6.83920i | 0.128585 | − | 0.222715i | ||||
\(944\) | 0.0782589 | + | 0.443828i | 0.00254711 | + | 0.0144454i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 11.0326 | − | 9.25741i | 0.358699 | − | 0.300984i | ||||
\(947\) | −6.24257 | + | 2.27211i | −0.202856 | + | 0.0738337i | −0.441450 | − | 0.897286i | \(-0.645536\pi\) |
0.238594 | + | 0.971119i | \(0.423314\pi\) | |||||||
\(948\) | 0.789210 | − | 4.47584i | 0.0256324 | − | 0.145368i | ||||
\(949\) | −19.8871 | + | 34.4455i | −0.645563 | + | 1.11815i | ||||
\(950\) | −2.25789 | − | 4.91673i | −0.0732557 | − | 0.159520i | ||||
\(951\) | 15.0833 | 0.489109 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −2.57414 | + | 14.5987i | −0.0833846 | + | 0.472897i | 0.914309 | + | 0.405018i | \(0.132735\pi\) |
−0.997693 | + | 0.0678799i | \(0.978377\pi\) | |||||||
\(954\) | −13.7087 | − | 4.98957i | −0.443837 | − | 0.161543i | ||||
\(955\) | 45.0861 | − | 16.4100i | 1.45895 | − | 0.531015i | ||||
\(956\) | −26.8879 | − | 9.78639i | −0.869617 | − | 0.316515i | ||||
\(957\) | 3.14749 | − | 5.45161i | 0.101744 | − | 0.176226i | ||||
\(958\) | 11.1932 | − | 19.3873i | 0.361637 | − | 0.626374i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 6.38326 | + | 2.32332i | 0.206019 | + | 0.0749847i | ||||
\(961\) | −27.2226 | −0.878147 | ||||||||
\(962\) | 3.89662 | 0.125632 | ||||||||
\(963\) | −9.07444 | − | 3.30283i | −0.292420 | − | 0.106432i | ||||
\(964\) | −0.0634062 | + | 0.359595i | −0.00204218 | + | 0.0115818i | ||||
\(965\) | −25.0253 | + | 20.9987i | −0.805592 | + | 0.675972i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −19.9418 | + | 7.25822i | −0.641285 | + | 0.233409i | −0.642136 | − | 0.766591i | \(-0.721951\pi\) |
0.000850519 | 1.00000i | \(0.499729\pi\) | ||||||||
\(968\) | 0.905382 | + | 1.56817i | 0.0291001 | + | 0.0504028i | ||||
\(969\) | 3.15270 | − | 2.18025i | 0.101279 | − | 0.0700399i | ||||
\(970\) | −2.02956 | + | 3.51531i | −0.0651653 | + | 0.112870i | ||||
\(971\) | −28.8084 | − | 24.1731i | −0.924506 | − | 0.775752i | 0.0503172 | − | 0.998733i | \(-0.483977\pi\) |
−0.974823 | + | 0.222981i | \(0.928421\pi\) | |||||||
\(972\) | −2.68422 | + | 15.2230i | −0.0860964 | + | 0.488277i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −15.1643 | − | 12.7244i | −0.485896 | − | 0.407715i | ||||
\(975\) | −3.04395 | + | 2.55418i | −0.0974844 | + | 0.0817991i | ||||
\(976\) | −0.183859 | −0.00588518 | ||||||||
\(977\) | 23.0107 | + | 39.8558i | 0.736179 | + | 1.27510i | 0.954204 | + | 0.299156i | \(0.0967050\pi\) |
−0.218026 | + | 0.975943i | \(0.569962\pi\) | |||||||
\(978\) | −0.164315 | − | 0.931876i | −0.00525421 | − | 0.0297981i | ||||
\(979\) | 7.31908 | + | 2.66393i | 0.233919 | + | 0.0851395i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 10.0111 | + | 17.3398i | 0.319631 | + | 0.553618i | ||||
\(982\) | 10.5318 | − | 8.83726i | 0.336085 | − | 0.282008i | ||||
\(983\) | −56.9420 | + | 20.7252i | −1.81617 | + | 0.661031i | −0.820121 | + | 0.572190i | \(0.806094\pi\) |
−0.996046 | + | 0.0888404i | \(0.971684\pi\) | |||||||
\(984\) | 1.17721 | + | 6.67631i | 0.0375282 | + | 0.212833i | ||||
\(985\) | −55.2024 | + | 20.0920i | −1.75889 | + | 0.640185i | ||||
\(986\) | 4.73618 | − | 1.72383i | 0.150831 | − | 0.0548979i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −27.3684 | + | 7.16252i | −0.870705 | + | 0.227870i | ||||
\(989\) | −4.22163 | − | 7.31208i | −0.134240 | − | 0.232510i | ||||
\(990\) | 3.58378 | − | 20.3246i | 0.113900 | − | 0.645959i | ||||
\(991\) | 32.0959 | + | 26.9316i | 1.01956 | + | 0.855511i | 0.989572 | − | 0.144039i | \(-0.0460091\pi\) |
0.0299865 | + | 0.999550i | \(0.490454\pi\) | |||||||
\(992\) | −10.2973 | − | 3.74789i | −0.326938 | − | 0.118996i | ||||
\(993\) | −0.697033 | − | 0.584880i | −0.0221197 | − | 0.0185606i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 11.6750 | + | 20.2217i | 0.370122 | + | 0.641070i | ||||
\(996\) | −1.63991 | −0.0519626 | ||||||||
\(997\) | 25.8273 | − | 21.6717i | 0.817958 | − | 0.686349i | −0.134535 | − | 0.990909i | \(-0.542954\pi\) |
0.952493 | + | 0.304560i | \(0.0985095\pi\) | |||||||
\(998\) | −19.2777 | + | 16.1759i | −0.610224 | + | 0.512038i | ||||
\(999\) | 2.54757 | 0.0806016 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))