Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (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: | \(5.76519902594\) |
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: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 38) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 415.1 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 722.415 |
Dual form | 722.2.e.k.595.1 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.766044 | − | 0.642788i | −0.541675 | − | 0.454519i | ||||
\(3\) | 1.43969 | − | 0.524005i | 0.831207 | − | 0.302535i | 0.108853 | − | 0.994058i | \(-0.465282\pi\) |
0.722354 | + | 0.691523i | \(0.243060\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.347296 | − | 1.96962i | 0.155316 | − | 0.880839i | −0.803181 | − | 0.595735i | \(-0.796861\pi\) |
0.958497 | − | 0.285104i | \(-0.0920281\pi\) | |||||||
\(6\) | −1.43969 | − | 0.524005i | −0.587752 | − | 0.213924i | ||||
\(7\) | −1.34730 | − | 2.33359i | −0.509230 | − | 0.882013i | −0.999943 | − | 0.0106911i | \(-0.996597\pi\) |
0.490713 | − | 0.871321i | \(-0.336736\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.500000 | + | 0.419550i | −0.166667 | + | 0.139850i | ||||
\(10\) | −1.53209 | + | 1.28558i | −0.484489 | + | 0.406535i | ||||
\(11\) | −1.59240 | + | 2.75811i | −0.480126 | + | 0.831602i | −0.999740 | − | 0.0227990i | \(-0.992742\pi\) |
0.519615 | + | 0.854401i | \(0.326076\pi\) | |||||||
\(12\) | 0.766044 | + | 1.32683i | 0.221138 | + | 0.383022i | ||||
\(13\) | −5.41147 | − | 1.96962i | −1.50087 | − | 0.546273i | −0.544586 | − | 0.838705i | \(-0.683313\pi\) |
−0.956286 | + | 0.292432i | \(0.905536\pi\) | |||||||
\(14\) | −0.467911 | + | 2.65366i | −0.125055 | + | 0.709219i | ||||
\(15\) | −0.532089 | − | 3.01763i | −0.137385 | − | 0.779148i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −4.99273 | − | 4.18939i | −1.21091 | − | 1.01608i | −0.999250 | − | 0.0387350i | \(-0.987667\pi\) |
−0.211664 | − | 0.977342i | \(-0.567888\pi\) | |||||||
\(18\) | 0.652704 | 0.153844 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 2.00000 | 0.447214 | ||||||||
\(21\) | −3.16250 | − | 2.65366i | −0.690115 | − | 0.579075i | ||||
\(22\) | 2.99273 | − | 1.08926i | 0.638051 | − | 0.232232i | ||||
\(23\) | −0.120615 | − | 0.684040i | −0.0251499 | − | 0.142632i | 0.969647 | − | 0.244508i | \(-0.0786266\pi\) |
−0.994797 | + | 0.101876i | \(0.967515\pi\) | |||||||
\(24\) | 0.266044 | − | 1.50881i | 0.0543061 | − | 0.307985i | ||||
\(25\) | 0.939693 | + | 0.342020i | 0.187939 | + | 0.0684040i | ||||
\(26\) | 2.87939 | + | 4.98724i | 0.564694 | + | 0.978079i | ||||
\(27\) | −2.79813 | + | 4.84651i | −0.538501 | + | 0.932711i | ||||
\(28\) | 2.06418 | − | 1.73205i | 0.390093 | − | 0.327327i | ||||
\(29\) | 2.16250 | − | 1.81456i | 0.401567 | − | 0.336955i | −0.419532 | − | 0.907741i | \(-0.637806\pi\) |
0.821099 | + | 0.570786i | \(0.193361\pi\) | |||||||
\(30\) | −1.53209 | + | 2.65366i | −0.279720 | + | 0.484489i | ||||
\(31\) | 1.22668 | + | 2.12467i | 0.220319 | + | 0.381603i | 0.954905 | − | 0.296913i | \(-0.0959570\pi\) |
−0.734586 | + | 0.678515i | \(0.762624\pi\) | |||||||
\(32\) | 0.939693 | + | 0.342020i | 0.166116 | + | 0.0604612i | ||||
\(33\) | −0.847296 | + | 4.80526i | −0.147495 | + | 0.836488i | ||||
\(34\) | 1.13176 | + | 6.41852i | 0.194095 | + | 1.10077i | ||||
\(35\) | −5.06418 | + | 1.84321i | −0.856002 | + | 0.311559i | ||||
\(36\) | −0.500000 | − | 0.419550i | −0.0833333 | − | 0.0699250i | ||||
\(37\) | 4.36959 | 0.718355 | 0.359178 | − | 0.933269i | \(-0.383057\pi\) | ||||
0.359178 | + | 0.933269i | \(0.383057\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −8.82295 | −1.41280 | ||||||||
\(40\) | −1.53209 | − | 1.28558i | −0.242245 | − | 0.203267i | ||||
\(41\) | −0.326352 | + | 0.118782i | −0.0509676 | + | 0.0185507i | −0.367378 | − | 0.930072i | \(-0.619745\pi\) |
0.316411 | + | 0.948622i | \(0.397522\pi\) | |||||||
\(42\) | 0.716881 | + | 4.06564i | 0.110617 | + | 0.627341i | ||||
\(43\) | 1.05303 | − | 5.97205i | 0.160586 | − | 0.910729i | −0.792913 | − | 0.609334i | \(-0.791437\pi\) |
0.953499 | − | 0.301395i | \(-0.0974522\pi\) | |||||||
\(44\) | −2.99273 | − | 1.08926i | −0.451170 | − | 0.164213i | ||||
\(45\) | 0.652704 | + | 1.13052i | 0.0972993 | + | 0.168527i | ||||
\(46\) | −0.347296 | + | 0.601535i | −0.0512061 | + | 0.0886915i | ||||
\(47\) | 6.04189 | − | 5.06975i | 0.881300 | − | 0.739499i | −0.0851459 | − | 0.996368i | \(-0.527136\pi\) |
0.966446 | + | 0.256870i | \(0.0826912\pi\) | |||||||
\(48\) | −1.17365 | + | 0.984808i | −0.169402 | + | 0.142145i | ||||
\(49\) | −0.130415 | + | 0.225885i | −0.0186307 | + | 0.0322693i | ||||
\(50\) | −0.500000 | − | 0.866025i | −0.0707107 | − | 0.122474i | ||||
\(51\) | −9.38326 | − | 3.41523i | −1.31392 | − | 0.478227i | ||||
\(52\) | 1.00000 | − | 5.67128i | 0.138675 | − | 0.786465i | ||||
\(53\) | −1.42602 | − | 8.08737i | −0.195879 | − | 1.11089i | −0.911161 | − | 0.412050i | \(-0.864813\pi\) |
0.715282 | − | 0.698836i | \(-0.246298\pi\) | |||||||
\(54\) | 5.25877 | − | 1.91404i | 0.715628 | − | 0.260467i | ||||
\(55\) | 4.87939 | + | 4.09429i | 0.657936 | + | 0.552074i | ||||
\(56\) | −2.69459 | −0.360080 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −2.82295 | −0.370671 | ||||||||
\(59\) | −0.439693 | − | 0.368946i | −0.0572431 | − | 0.0480327i | 0.613717 | − | 0.789526i | \(-0.289673\pi\) |
−0.670960 | + | 0.741493i | \(0.734118\pi\) | |||||||
\(60\) | 2.87939 | − | 1.04801i | 0.371727 | − | 0.135298i | ||||
\(61\) | 0.509800 | + | 2.89122i | 0.0652732 | + | 0.370183i | 0.999894 | + | 0.0145378i | \(0.00462769\pi\) |
−0.934621 | + | 0.355645i | \(0.884261\pi\) | |||||||
\(62\) | 0.426022 | − | 2.41609i | 0.0541049 | − | 0.306844i | ||||
\(63\) | 1.65270 | + | 0.601535i | 0.208221 | + | 0.0757863i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −5.75877 | + | 9.97448i | −0.714288 | + | 1.23718i | ||||
\(66\) | 3.73783 | − | 3.13641i | 0.460095 | − | 0.386065i | ||||
\(67\) | 3.79813 | − | 3.18701i | 0.464016 | − | 0.389356i | −0.380590 | − | 0.924744i | \(-0.624279\pi\) |
0.844606 | + | 0.535388i | \(0.179835\pi\) | |||||||
\(68\) | 3.25877 | − | 5.64436i | 0.395184 | − | 0.684479i | ||||
\(69\) | −0.532089 | − | 0.921605i | −0.0640560 | − | 0.110948i | ||||
\(70\) | 5.06418 | + | 1.84321i | 0.605285 | + | 0.220306i | ||||
\(71\) | 1.46791 | − | 8.32494i | 0.174209 | − | 0.987988i | −0.764844 | − | 0.644216i | \(-0.777184\pi\) |
0.939053 | − | 0.343773i | \(-0.111705\pi\) | |||||||
\(72\) | 0.113341 | + | 0.642788i | 0.0133573 | + | 0.0757532i | ||||
\(73\) | −14.8157 | + | 5.39246i | −1.73404 | + | 0.631140i | −0.998905 | − | 0.0467771i | \(-0.985105\pi\) |
−0.735138 | + | 0.677917i | \(0.762883\pi\) | |||||||
\(74\) | −3.34730 | − | 2.80872i | −0.389115 | − | 0.326507i | ||||
\(75\) | 1.53209 | 0.176910 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 8.58172 | 0.977978 | ||||||||
\(78\) | 6.75877 | + | 5.67128i | 0.765280 | + | 0.642146i | ||||
\(79\) | −8.51754 | + | 3.10013i | −0.958298 | + | 0.348792i | −0.773366 | − | 0.633959i | \(-0.781429\pi\) |
−0.184932 | + | 0.982751i | \(0.559206\pi\) | |||||||
\(80\) | 0.347296 | + | 1.96962i | 0.0388289 | + | 0.220210i | ||||
\(81\) | −1.14883 | + | 6.51536i | −0.127648 | + | 0.723929i | ||||
\(82\) | 0.326352 | + | 0.118782i | 0.0360395 | + | 0.0131173i | ||||
\(83\) | −4.23783 | − | 7.34013i | −0.465162 | − | 0.805684i | 0.534047 | − | 0.845455i | \(-0.320671\pi\) |
−0.999209 | + | 0.0397709i | \(0.987337\pi\) | |||||||
\(84\) | 2.06418 | − | 3.57526i | 0.225220 | − | 0.390093i | ||||
\(85\) | −9.98545 | + | 8.37879i | −1.08307 | + | 0.908807i | ||||
\(86\) | −4.64543 | + | 3.89798i | −0.500930 | + | 0.420330i | ||||
\(87\) | 2.16250 | − | 3.74557i | 0.231845 | − | 0.401567i | ||||
\(88\) | 1.59240 | + | 2.75811i | 0.169750 | + | 0.294016i | ||||
\(89\) | 7.27244 | + | 2.64695i | 0.770877 | + | 0.280576i | 0.697363 | − | 0.716718i | \(-0.254356\pi\) |
0.0735139 | + | 0.997294i | \(0.476579\pi\) | |||||||
\(90\) | 0.226682 | − | 1.28558i | 0.0238943 | − | 0.135512i | ||||
\(91\) | 2.69459 | + | 15.2818i | 0.282470 | + | 1.60197i | ||||
\(92\) | 0.652704 | − | 0.237565i | 0.0680491 | − | 0.0247678i | ||||
\(93\) | 2.87939 | + | 2.41609i | 0.298578 | + | 0.250537i | ||||
\(94\) | −7.88713 | −0.813495 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.53209 | 0.156368 | ||||||||
\(97\) | 0.266044 | + | 0.223238i | 0.0270127 | + | 0.0226664i | 0.656194 | − | 0.754592i | \(-0.272165\pi\) |
−0.629181 | + | 0.777259i | \(0.716610\pi\) | |||||||
\(98\) | 0.245100 | − | 0.0892091i | 0.0247588 | − | 0.00901148i | ||||
\(99\) | −0.360967 | − | 2.04715i | −0.0362785 | − | 0.205746i | ||||
\(100\) | −0.173648 | + | 0.984808i | −0.0173648 | + | 0.0984808i | ||||
\(101\) | 0.347296 | + | 0.126406i | 0.0345573 | + | 0.0125778i | 0.359241 | − | 0.933245i | \(-0.383036\pi\) |
−0.324684 | + | 0.945823i | \(0.605258\pi\) | |||||||
\(102\) | 4.99273 | + | 8.64766i | 0.494354 | + | 0.856245i | ||||
\(103\) | 4.29086 | − | 7.43199i | 0.422791 | − | 0.732295i | −0.573420 | − | 0.819261i | \(-0.694384\pi\) |
0.996211 | + | 0.0869659i | \(0.0277171\pi\) | |||||||
\(104\) | −4.41147 | + | 3.70167i | −0.432581 | + | 0.362978i | ||||
\(105\) | −6.32501 | + | 5.30731i | −0.617258 | + | 0.517941i | ||||
\(106\) | −4.10607 | + | 7.11192i | −0.398816 | + | 0.690770i | ||||
\(107\) | −5.72668 | − | 9.91890i | −0.553619 | − | 0.958897i | −0.998010 | − | 0.0630633i | \(-0.979913\pi\) |
0.444390 | − | 0.895833i | \(-0.353420\pi\) | |||||||
\(108\) | −5.25877 | − | 1.91404i | −0.506025 | − | 0.184178i | ||||
\(109\) | −1.50980 | + | 8.56250i | −0.144613 | + | 0.820139i | 0.823065 | + | 0.567948i | \(0.192262\pi\) |
−0.967677 | + | 0.252191i | \(0.918849\pi\) | |||||||
\(110\) | −1.10607 | − | 6.27282i | −0.105459 | − | 0.598090i | ||||
\(111\) | 6.29086 | − | 2.28969i | 0.597102 | − | 0.217327i | ||||
\(112\) | 2.06418 | + | 1.73205i | 0.195046 | + | 0.163663i | ||||
\(113\) | −2.85978 | −0.269026 | −0.134513 | − | 0.990912i | \(-0.542947\pi\) | ||||
−0.134513 | + | 0.990912i | \(0.542947\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −1.38919 | −0.129542 | ||||||||
\(116\) | 2.16250 | + | 1.81456i | 0.200783 | + | 0.168477i | ||||
\(117\) | 3.53209 | − | 1.28558i | 0.326542 | − | 0.118851i | ||||
\(118\) | 0.0996702 | + | 0.565258i | 0.00917539 | + | 0.0520362i | ||||
\(119\) | −3.04963 | + | 17.2953i | −0.279559 | + | 1.58546i | ||||
\(120\) | −2.87939 | − | 1.04801i | −0.262851 | − | 0.0956698i | ||||
\(121\) | 0.428548 | + | 0.742267i | 0.0389589 | + | 0.0674789i | ||||
\(122\) | 1.46791 | − | 2.54250i | 0.132898 | − | 0.230187i | ||||
\(123\) | −0.407604 | + | 0.342020i | −0.0367524 | + | 0.0308389i | ||||
\(124\) | −1.87939 | + | 1.57699i | −0.168774 | + | 0.141618i | ||||
\(125\) | 6.00000 | − | 10.3923i | 0.536656 | − | 0.929516i | ||||
\(126\) | −0.879385 | − | 1.52314i | −0.0783419 | − | 0.135692i | ||||
\(127\) | 9.14290 | + | 3.32774i | 0.811301 | + | 0.295290i | 0.714161 | − | 0.699981i | \(-0.246808\pi\) |
0.0971401 | + | 0.995271i | \(0.469030\pi\) | |||||||
\(128\) | −0.173648 | + | 0.984808i | −0.0153485 | + | 0.0870455i | ||||
\(129\) | −1.61334 | − | 9.14971i | −0.142047 | − | 0.805587i | ||||
\(130\) | 10.8229 | − | 3.93923i | 0.949235 | − | 0.345493i | ||||
\(131\) | −4.95471 | − | 4.15749i | −0.432895 | − | 0.363242i | 0.400148 | − | 0.916451i | \(-0.368959\pi\) |
−0.833043 | + | 0.553209i | \(0.813403\pi\) | |||||||
\(132\) | −4.87939 | −0.424696 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −4.95811 | −0.428316 | ||||||||
\(135\) | 8.57398 | + | 7.19442i | 0.737931 | + | 0.619197i | ||||
\(136\) | −6.12449 | + | 2.22913i | −0.525170 | + | 0.191146i | ||||
\(137\) | −2.02481 | − | 11.4833i | −0.172992 | − | 0.981084i | −0.940437 | − | 0.339969i | \(-0.889583\pi\) |
0.767445 | − | 0.641115i | \(-0.221528\pi\) | |||||||
\(138\) | −0.184793 | + | 1.04801i | −0.0157306 | + | 0.0892126i | ||||
\(139\) | 7.76517 | + | 2.82629i | 0.658633 | + | 0.239723i | 0.649646 | − | 0.760237i | \(-0.274917\pi\) |
0.00898688 | + | 0.999960i | \(0.497139\pi\) | |||||||
\(140\) | −2.69459 | − | 4.66717i | −0.227735 | − | 0.394448i | ||||
\(141\) | 6.04189 | − | 10.4649i | 0.508819 | − | 0.881300i | ||||
\(142\) | −6.47565 | + | 5.43372i | −0.543425 | + | 0.455987i | ||||
\(143\) | 14.0496 | − | 11.7890i | 1.17489 | − | 0.985849i | ||||
\(144\) | 0.326352 | − | 0.565258i | 0.0271960 | − | 0.0471048i | ||||
\(145\) | −2.82295 | − | 4.88949i | −0.234433 | − | 0.406050i | ||||
\(146\) | 14.8157 | + | 5.39246i | 1.22615 | + | 0.446284i | ||||
\(147\) | −0.0693923 | + | 0.393544i | −0.00572338 | + | 0.0324589i | ||||
\(148\) | 0.758770 | + | 4.30320i | 0.0623705 | + | 0.353721i | ||||
\(149\) | 15.4611 | − | 5.62738i | 1.26662 | − | 0.461013i | 0.380637 | − | 0.924725i | \(-0.375705\pi\) |
0.885986 | + | 0.463712i | \(0.153483\pi\) | |||||||
\(150\) | −1.17365 | − | 0.984808i | −0.0958280 | − | 0.0804092i | ||||
\(151\) | −4.65539 | −0.378850 | −0.189425 | − | 0.981895i | \(-0.560662\pi\) | ||||
−0.189425 | + | 0.981895i | \(0.560662\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 4.25402 | 0.343917 | ||||||||
\(154\) | −6.57398 | − | 5.51622i | −0.529746 | − | 0.444510i | ||||
\(155\) | 4.61081 | − | 1.67820i | 0.370350 | − | 0.134796i | ||||
\(156\) | −1.53209 | − | 8.68891i | −0.122665 | − | 0.695669i | ||||
\(157\) | 1.46791 | − | 8.32494i | 0.117152 | − | 0.664402i | −0.868510 | − | 0.495671i | \(-0.834922\pi\) |
0.985662 | − | 0.168731i | \(-0.0539669\pi\) | |||||||
\(158\) | 8.51754 | + | 3.10013i | 0.677619 | + | 0.246633i | ||||
\(159\) | −6.29086 | − | 10.8961i | −0.498898 | − | 0.864116i | ||||
\(160\) | 1.00000 | − | 1.73205i | 0.0790569 | − | 0.136931i | ||||
\(161\) | −1.43376 | + | 1.20307i | −0.112996 | + | 0.0948152i | ||||
\(162\) | 5.06805 | − | 4.25260i | 0.398183 | − | 0.334116i | ||||
\(163\) | −8.52481 | + | 14.7654i | −0.667715 | + | 1.15652i | 0.310826 | + | 0.950467i | \(0.399394\pi\) |
−0.978542 | + | 0.206050i | \(0.933939\pi\) | |||||||
\(164\) | −0.173648 | − | 0.300767i | −0.0135596 | − | 0.0234860i | ||||
\(165\) | 9.17024 | + | 3.33770i | 0.713903 | + | 0.259839i | ||||
\(166\) | −1.47178 | + | 8.34689i | −0.114232 | + | 0.647844i | ||||
\(167\) | 0.554378 | + | 3.14403i | 0.0428990 | + | 0.243292i | 0.998715 | − | 0.0506721i | \(-0.0161363\pi\) |
−0.955816 | + | 0.293965i | \(0.905025\pi\) | |||||||
\(168\) | −3.87939 | + | 1.41198i | −0.299301 | + | 0.108937i | ||||
\(169\) | 15.4461 | + | 12.9608i | 1.18816 | + | 0.996985i | ||||
\(170\) | 13.0351 | 0.999745 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.06418 | 0.462389 | ||||||||
\(173\) | −7.37733 | − | 6.19031i | −0.560888 | − | 0.470641i | 0.317720 | − | 0.948185i | \(-0.397083\pi\) |
−0.878608 | + | 0.477544i | \(0.841527\pi\) | |||||||
\(174\) | −4.06418 | + | 1.47924i | −0.308105 | + | 0.112141i | ||||
\(175\) | −0.467911 | − | 2.65366i | −0.0353708 | − | 0.200598i | ||||
\(176\) | 0.553033 | − | 3.13641i | 0.0416865 | − | 0.236416i | ||||
\(177\) | −0.826352 | − | 0.300767i | −0.0621124 | − | 0.0226071i | ||||
\(178\) | −3.86959 | − | 6.70232i | −0.290038 | − | 0.502360i | ||||
\(179\) | 9.40807 | − | 16.2953i | 0.703192 | − | 1.21796i | −0.264148 | − | 0.964482i | \(-0.585091\pi\) |
0.967340 | − | 0.253482i | \(-0.0815760\pi\) | |||||||
\(180\) | −1.00000 | + | 0.839100i | −0.0745356 | + | 0.0625428i | ||||
\(181\) | −2.12836 | + | 1.78590i | −0.158199 | + | 0.132745i | −0.718451 | − | 0.695577i | \(-0.755149\pi\) |
0.560252 | + | 0.828322i | \(0.310704\pi\) | |||||||
\(182\) | 7.75877 | − | 13.4386i | 0.575118 | − | 0.996134i | ||||
\(183\) | 2.24897 | + | 3.89533i | 0.166249 | + | 0.287951i | ||||
\(184\) | −0.652704 | − | 0.237565i | −0.0481180 | − | 0.0175135i | ||||
\(185\) | 1.51754 | − | 8.60640i | 0.111572 | − | 0.632755i | ||||
\(186\) | −0.652704 | − | 3.70167i | −0.0478586 | − | 0.271419i | ||||
\(187\) | 19.5052 | − | 7.09932i | 1.42636 | − | 0.519154i | ||||
\(188\) | 6.04189 | + | 5.06975i | 0.440650 | + | 0.369749i | ||||
\(189\) | 15.0797 | 1.09688 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 9.56212 | 0.691891 | 0.345945 | − | 0.938255i | \(-0.387558\pi\) | ||||
0.345945 | + | 0.938255i | \(0.387558\pi\) | |||||||
\(192\) | −1.17365 | − | 0.984808i | −0.0847008 | − | 0.0710724i | ||||
\(193\) | −22.2528 | + | 8.09937i | −1.60179 | + | 0.583006i | −0.979794 | − | 0.200011i | \(-0.935902\pi\) |
−0.622001 | + | 0.783017i | \(0.713680\pi\) | |||||||
\(194\) | −0.0603074 | − | 0.342020i | −0.00432982 | − | 0.0245556i | ||||
\(195\) | −3.06418 | + | 17.3778i | −0.219430 | + | 1.24445i | ||||
\(196\) | −0.245100 | − | 0.0892091i | −0.0175071 | − | 0.00637208i | ||||
\(197\) | 11.4611 | + | 19.8512i | 0.816570 | + | 1.41434i | 0.908195 | + | 0.418547i | \(0.137460\pi\) |
−0.0916253 | + | 0.995794i | \(0.529206\pi\) | |||||||
\(198\) | −1.03936 | + | 1.80023i | −0.0738643 | + | 0.127937i | ||||
\(199\) | 7.72462 | − | 6.48173i | 0.547584 | − | 0.459477i | −0.326538 | − | 0.945184i | \(-0.605882\pi\) |
0.874122 | + | 0.485707i | \(0.161438\pi\) | |||||||
\(200\) | 0.766044 | − | 0.642788i | 0.0541675 | − | 0.0454519i | ||||
\(201\) | 3.79813 | − | 6.57856i | 0.267900 | − | 0.464016i | ||||
\(202\) | −0.184793 | − | 0.320070i | −0.0130020 | − | 0.0225201i | ||||
\(203\) | −7.14796 | − | 2.60164i | −0.501688 | − | 0.182600i | ||||
\(204\) | 1.73396 | − | 9.83375i | 0.121401 | − | 0.688500i | ||||
\(205\) | 0.120615 | + | 0.684040i | 0.00842410 | + | 0.0477754i | ||||
\(206\) | −8.06418 | + | 2.93512i | −0.561858 | + | 0.204500i | ||||
\(207\) | 0.347296 | + | 0.291416i | 0.0241388 | + | 0.0202548i | ||||
\(208\) | 5.75877 | 0.399299 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 8.25671 | 0.569767 | ||||||||
\(211\) | 17.1288 | + | 14.3728i | 1.17920 | + | 0.989464i | 0.999984 | + | 0.00565322i | \(0.00179949\pi\) |
0.179213 | + | 0.983810i | \(0.442645\pi\) | |||||||
\(212\) | 7.71688 | − | 2.80872i | 0.529998 | − | 0.192903i | ||||
\(213\) | −2.24897 | − | 12.7545i | −0.154097 | − | 0.873927i | ||||
\(214\) | −1.98886 | + | 11.2794i | −0.135955 | + | 0.771041i | ||||
\(215\) | −11.3969 | − | 4.14814i | −0.777264 | − | 0.282901i | ||||
\(216\) | 2.79813 | + | 4.84651i | 0.190389 | + | 0.329763i | ||||
\(217\) | 3.30541 | − | 5.72513i | 0.224386 | − | 0.388647i | ||||
\(218\) | 6.66044 | − | 5.58878i | 0.451102 | − | 0.378520i | ||||
\(219\) | −18.5043 | + | 15.5270i | −1.25041 | + | 1.04922i | ||||
\(220\) | −3.18479 | + | 5.51622i | −0.214719 | + | 0.371904i | ||||
\(221\) | 18.7665 | + | 32.5046i | 1.26237 | + | 2.18649i | ||||
\(222\) | −6.29086 | − | 2.28969i | −0.422215 | − | 0.153674i | ||||
\(223\) | 1.61081 | − | 9.13538i | 0.107868 | − | 0.611751i | −0.882168 | − | 0.470935i | \(-0.843917\pi\) |
0.990036 | − | 0.140815i | \(-0.0449724\pi\) | |||||||
\(224\) | −0.467911 | − | 2.65366i | −0.0312636 | − | 0.177305i | ||||
\(225\) | −0.613341 | + | 0.223238i | −0.0408894 | + | 0.0148825i | ||||
\(226\) | 2.19072 | + | 1.83823i | 0.145725 | + | 0.122278i | ||||
\(227\) | −7.73648 | −0.513488 | −0.256744 | − | 0.966479i | \(-0.582650\pi\) | ||||
−0.256744 | + | 0.966479i | \(0.582650\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −23.0351 | −1.52220 | −0.761101 | − | 0.648634i | \(-0.775341\pi\) | ||||
−0.761101 | + | 0.648634i | \(0.775341\pi\) | |||||||
\(230\) | 1.06418 | + | 0.892951i | 0.0701698 | + | 0.0588795i | ||||
\(231\) | 12.3550 | − | 4.49687i | 0.812902 | − | 0.295872i | ||||
\(232\) | −0.490200 | − | 2.78006i | −0.0321832 | − | 0.182520i | ||||
\(233\) | 1.45858 | − | 8.27201i | 0.0955546 | − | 0.541917i | −0.899021 | − | 0.437905i | \(-0.855721\pi\) |
0.994576 | − | 0.104012i | \(-0.0331682\pi\) | |||||||
\(234\) | −3.53209 | − | 1.28558i | −0.230900 | − | 0.0840407i | ||||
\(235\) | −7.88713 | − | 13.6609i | −0.514499 | − | 0.891139i | ||||
\(236\) | 0.286989 | − | 0.497079i | 0.0186814 | − | 0.0323571i | ||||
\(237\) | −10.6382 | + | 8.92647i | −0.691022 | + | 0.579837i | ||||
\(238\) | 13.4534 | − | 11.2887i | 0.872052 | − | 0.731739i | ||||
\(239\) | 7.86484 | − | 13.6223i | 0.508734 | − | 0.881153i | −0.491215 | − | 0.871038i | \(-0.663447\pi\) |
0.999949 | − | 0.0101147i | \(-0.00321967\pi\) | |||||||
\(240\) | 1.53209 | + | 2.65366i | 0.0988959 | + | 0.171293i | ||||
\(241\) | 16.4474 | + | 5.98638i | 1.05947 | + | 0.385616i | 0.812230 | − | 0.583337i | \(-0.198253\pi\) |
0.247242 | + | 0.968954i | \(0.420476\pi\) | |||||||
\(242\) | 0.148833 | − | 0.844075i | 0.00956736 | − | 0.0542592i | ||||
\(243\) | −1.15523 | − | 6.55163i | −0.0741080 | − | 0.420288i | ||||
\(244\) | −2.75877 | + | 1.00411i | −0.176612 | + | 0.0642816i | ||||
\(245\) | 0.399615 | + | 0.335316i | 0.0255304 | + | 0.0214226i | ||||
\(246\) | 0.532089 | 0.0339247 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 2.45336 | 0.155789 | ||||||||
\(249\) | −9.94743 | − | 8.34689i | −0.630393 | − | 0.528963i | ||||
\(250\) | −11.2763 | + | 4.10424i | −0.713177 | + | 0.259575i | ||||
\(251\) | 1.48767 | + | 8.43702i | 0.0939011 | + | 0.532540i | 0.995079 | + | 0.0990893i | \(0.0315930\pi\) |
−0.901177 | + | 0.433450i | \(0.857296\pi\) | |||||||
\(252\) | −0.305407 | + | 1.73205i | −0.0192389 | + | 0.109109i | ||||
\(253\) | 2.07873 | + | 0.756594i | 0.130688 | + | 0.0475667i | ||||
\(254\) | −4.86484 | − | 8.42615i | −0.305247 | − | 0.528703i | ||||
\(255\) | −9.98545 | + | 17.2953i | −0.625313 | + | 1.08307i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 6.14724 | − | 5.15815i | 0.383454 | − | 0.321756i | −0.430602 | − | 0.902542i | \(-0.641699\pi\) |
0.814057 | + | 0.580785i | \(0.197254\pi\) | |||||||
\(258\) | −4.64543 | + | 8.04612i | −0.289212 | + | 0.500930i | ||||
\(259\) | −5.88713 | − | 10.1968i | −0.365808 | − | 0.633598i | ||||
\(260\) | −10.8229 | − | 3.93923i | −0.671211 | − | 0.244301i | ||||
\(261\) | −0.319955 | + | 1.81456i | −0.0198047 | + | 0.112318i | ||||
\(262\) | 1.12314 | + | 6.36965i | 0.0693879 | + | 0.393518i | ||||
\(263\) | 5.60132 | − | 2.03871i | 0.345392 | − | 0.125712i | −0.163499 | − | 0.986544i | \(-0.552278\pi\) |
0.508891 | + | 0.860831i | \(0.330056\pi\) | |||||||
\(264\) | 3.73783 | + | 3.13641i | 0.230047 | + | 0.193033i | ||||
\(265\) | −16.4243 | −1.00893 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 11.8571 | 0.725643 | ||||||||
\(268\) | 3.79813 | + | 3.18701i | 0.232008 | + | 0.194678i | ||||
\(269\) | −1.07873 | + | 0.392624i | −0.0657711 | + | 0.0239387i | −0.374696 | − | 0.927148i | \(-0.622253\pi\) |
0.308925 | + | 0.951086i | \(0.400031\pi\) | |||||||
\(270\) | −1.94356 | − | 11.0225i | −0.118281 | − | 0.670808i | ||||
\(271\) | 3.48246 | − | 19.7500i | 0.211544 | − | 1.19973i | −0.675259 | − | 0.737581i | \(-0.735968\pi\) |
0.886803 | − | 0.462147i | \(-0.152921\pi\) | |||||||
\(272\) | 6.12449 | + | 2.22913i | 0.371351 | + | 0.135161i | ||||
\(273\) | 11.8871 | + | 20.5891i | 0.719442 | + | 1.24611i | ||||
\(274\) | −5.83022 | + | 10.0982i | −0.352217 | + | 0.610057i | ||||
\(275\) | −2.43969 | + | 2.04715i | −0.147119 | + | 0.123447i | ||||
\(276\) | 0.815207 | − | 0.684040i | 0.0490697 | − | 0.0411744i | ||||
\(277\) | −8.68004 | + | 15.0343i | −0.521533 | + | 0.903322i | 0.478153 | + | 0.878277i | \(0.341306\pi\) |
−0.999686 | + | 0.0250457i | \(0.992027\pi\) | |||||||
\(278\) | −4.13176 | − | 7.15642i | −0.247806 | − | 0.429213i | ||||
\(279\) | −1.50475 | − | 0.547683i | −0.0900869 | − | 0.0327889i | ||||
\(280\) | −0.935822 | + | 5.30731i | −0.0559261 | + | 0.317173i | ||||
\(281\) | −0.507274 | − | 2.87689i | −0.0302614 | − | 0.171621i | 0.965931 | − | 0.258798i | \(-0.0833265\pi\) |
−0.996193 | + | 0.0871772i | \(0.972215\pi\) | |||||||
\(282\) | −11.3550 | + | 4.13290i | −0.676183 | + | 0.246110i | ||||
\(283\) | −7.26264 | − | 6.09408i | −0.431719 | − | 0.362255i | 0.400881 | − | 0.916130i | \(-0.368704\pi\) |
−0.832600 | + | 0.553875i | \(0.813149\pi\) | |||||||
\(284\) | 8.45336 | 0.501615 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −18.3405 | −1.08450 | ||||||||
\(287\) | 0.716881 | + | 0.601535i | 0.0423162 | + | 0.0355075i | ||||
\(288\) | −0.613341 | + | 0.223238i | −0.0361415 | + | 0.0131544i | ||||
\(289\) | 4.42427 | + | 25.0913i | 0.260251 | + | 1.47596i | ||||
\(290\) | −0.980400 | + | 5.56012i | −0.0575710 | + | 0.326502i | ||||
\(291\) | 0.500000 | + | 0.181985i | 0.0293105 | + | 0.0106682i | ||||
\(292\) | −7.88326 | − | 13.6542i | −0.461333 | − | 0.799052i | ||||
\(293\) | −13.6459 | + | 23.6354i | −0.797202 | + | 1.38079i | 0.124230 | + | 0.992253i | \(0.460354\pi\) |
−0.921432 | + | 0.388541i | \(0.872979\pi\) | |||||||
\(294\) | 0.306123 | − | 0.256867i | 0.0178534 | − | 0.0149808i | ||||
\(295\) | −0.879385 | + | 0.737892i | −0.0511998 | + | 0.0429617i | ||||
\(296\) | 2.18479 | − | 3.78417i | 0.126988 | − | 0.219951i | ||||
\(297\) | −8.91147 | − | 15.4351i | −0.517096 | − | 0.895637i | ||||
\(298\) | −15.4611 | − | 5.62738i | −0.895638 | − | 0.325985i | ||||
\(299\) | −0.694593 | + | 3.93923i | −0.0401693 | + | 0.227812i | ||||
\(300\) | 0.266044 | + | 1.50881i | 0.0153601 | + | 0.0871114i | ||||
\(301\) | −15.3550 | + | 5.58878i | −0.885050 | + | 0.322132i | ||||
\(302\) | 3.56624 | + | 2.99243i | 0.205214 | + | 0.172195i | ||||
\(303\) | 0.566237 | 0.0325295 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 5.87164 | 0.336209 | ||||||||
\(306\) | −3.25877 | − | 2.73443i | −0.186292 | − | 0.156317i | ||||
\(307\) | 20.0424 | − | 7.29482i | 1.14388 | − | 0.416337i | 0.300565 | − | 0.953761i | \(-0.402825\pi\) |
0.843312 | + | 0.537424i | \(0.180602\pi\) | |||||||
\(308\) | 1.49020 | + | 8.45134i | 0.0849120 | + | 0.481560i | ||||
\(309\) | 2.28312 | − | 12.9482i | 0.129882 | − | 0.736598i | ||||
\(310\) | −4.61081 | − | 1.67820i | −0.261877 | − | 0.0953153i | ||||
\(311\) | 14.6459 | + | 25.3674i | 0.830493 | + | 1.43846i | 0.897648 | + | 0.440713i | \(0.145274\pi\) |
−0.0671555 | + | 0.997743i | \(0.521392\pi\) | |||||||
\(312\) | −4.41147 | + | 7.64090i | −0.249751 | + | 0.432581i | ||||
\(313\) | 4.26011 | − | 3.57466i | 0.240796 | − | 0.202052i | −0.514401 | − | 0.857550i | \(-0.671986\pi\) |
0.755197 | + | 0.655498i | \(0.227541\pi\) | |||||||
\(314\) | −6.47565 | + | 5.43372i | −0.365442 | + | 0.306642i | ||||
\(315\) | 1.75877 | − | 3.04628i | 0.0990955 | − | 0.171638i | ||||
\(316\) | −4.53209 | − | 7.84981i | −0.254950 | − | 0.441586i | ||||
\(317\) | 3.57398 | + | 1.30082i | 0.200735 | + | 0.0730614i | 0.440431 | − | 0.897786i | \(-0.354826\pi\) |
−0.239696 | + | 0.970848i | \(0.577048\pi\) | |||||||
\(318\) | −2.18479 | + | 12.3906i | −0.122517 | + | 0.694829i | ||||
\(319\) | 1.56118 | + | 8.85392i | 0.0874096 | + | 0.495724i | ||||
\(320\) | −1.87939 | + | 0.684040i | −0.105061 | + | 0.0382390i | ||||
\(321\) | −13.4422 | − | 11.2794i | −0.750271 | − | 0.629553i | ||||
\(322\) | 1.87164 | 0.104303 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −6.61587 | −0.367548 | ||||||||
\(325\) | −4.41147 | − | 3.70167i | −0.244705 | − | 0.205332i | ||||
\(326\) | 16.0214 | − | 5.83132i | 0.887344 | − | 0.322967i | ||||
\(327\) | 2.31315 | + | 13.1185i | 0.127917 | + | 0.725456i | ||||
\(328\) | −0.0603074 | + | 0.342020i | −0.00332992 | + | 0.0188849i | ||||
\(329\) | −19.9709 | − | 7.26881i | −1.10103 | − | 0.400743i | ||||
\(330\) | −4.87939 | − | 8.45134i | −0.268601 | − | 0.465231i | ||||
\(331\) | 10.2110 | − | 17.6859i | 0.561245 | − | 0.972104i | −0.436144 | − | 0.899877i | \(-0.643656\pi\) |
0.997388 | − | 0.0722272i | \(-0.0230107\pi\) | |||||||
\(332\) | 6.49273 | − | 5.44804i | 0.356335 | − | 0.299000i | ||||
\(333\) | −2.18479 | + | 1.83326i | −0.119726 | + | 0.100462i | ||||
\(334\) | 1.59627 | − | 2.76481i | 0.0873438 | − | 0.151284i | ||||
\(335\) | −4.95811 | − | 8.58770i | −0.270891 | − | 0.469196i | ||||
\(336\) | 3.87939 | + | 1.41198i | 0.211638 | + | 0.0770299i | ||||
\(337\) | −3.52687 | + | 20.0019i | −0.192121 | + | 1.08957i | 0.724338 | + | 0.689445i | \(0.242145\pi\) |
−0.916459 | + | 0.400128i | \(0.868966\pi\) | |||||||
\(338\) | −3.50134 | − | 19.8571i | −0.190448 | − | 1.08008i | ||||
\(339\) | −4.11721 | + | 1.49854i | −0.223616 | + | 0.0813896i | ||||
\(340\) | −9.98545 | − | 8.37879i | −0.541537 | − | 0.454404i | ||||
\(341\) | −7.81345 | −0.423122 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −18.1593 | −0.980511 | ||||||||
\(344\) | −4.64543 | − | 3.89798i | −0.250465 | − | 0.210165i | ||||
\(345\) | −2.00000 | + | 0.727940i | −0.107676 | + | 0.0391910i | ||||
\(346\) | 1.67230 | + | 9.48411i | 0.0899036 | + | 0.509869i | ||||
\(347\) | 0.905544 | − | 5.13560i | 0.0486122 | − | 0.275693i | −0.950807 | − | 0.309785i | \(-0.899743\pi\) |
0.999419 | + | 0.0340920i | \(0.0108539\pi\) | |||||||
\(348\) | 4.06418 | + | 1.47924i | 0.217863 | + | 0.0792956i | ||||
\(349\) | −7.17024 | − | 12.4192i | −0.383814 | − | 0.664786i | 0.607790 | − | 0.794098i | \(-0.292056\pi\) |
−0.991604 | + | 0.129312i | \(0.958723\pi\) | |||||||
\(350\) | −1.34730 | + | 2.33359i | −0.0720160 | + | 0.124735i | ||||
\(351\) | 24.6878 | − | 20.7155i | 1.31774 | − | 1.10571i | ||||
\(352\) | −2.43969 | + | 2.04715i | −0.130036 | + | 0.109113i | ||||
\(353\) | −13.1250 | + | 22.7331i | −0.698571 | + | 1.20996i | 0.270391 | + | 0.962750i | \(0.412847\pi\) |
−0.968962 | + | 0.247209i | \(0.920486\pi\) | |||||||
\(354\) | 0.439693 | + | 0.761570i | 0.0233694 | + | 0.0404770i | ||||
\(355\) | −15.8871 | − | 5.78244i | −0.843201 | − | 0.306900i | ||||
\(356\) | −1.34389 | + | 7.62159i | −0.0712262 | + | 0.403944i | ||||
\(357\) | 4.67230 | + | 26.4980i | 0.247285 | + | 1.40242i | ||||
\(358\) | −17.6814 | + | 6.43550i | −0.934490 | + | 0.340127i | ||||
\(359\) | −25.8084 | − | 21.6558i | −1.36212 | − | 1.14295i | −0.975323 | − | 0.220784i | \(-0.929139\pi\) |
−0.386792 | − | 0.922167i | \(-0.626417\pi\) | |||||||
\(360\) | 1.30541 | 0.0688010 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 2.77837 | 0.146028 | ||||||||
\(363\) | 1.00593 | + | 0.844075i | 0.0527976 | + | 0.0443025i | ||||
\(364\) | −14.5817 | + | 5.30731i | −0.764290 | + | 0.278179i | ||||
\(365\) | 5.47565 | + | 31.0540i | 0.286609 | + | 1.62544i | ||||
\(366\) | 0.781059 | − | 4.42961i | 0.0408266 | − | 0.231539i | ||||
\(367\) | 9.83750 | + | 3.58056i | 0.513513 | + | 0.186903i | 0.585762 | − | 0.810483i | \(-0.300795\pi\) |
−0.0722488 | + | 0.997387i | \(0.523018\pi\) | |||||||
\(368\) | 0.347296 | + | 0.601535i | 0.0181041 | + | 0.0313572i | ||||
\(369\) | 0.113341 | − | 0.196312i | 0.00590029 | − | 0.0102196i | ||||
\(370\) | −6.69459 | + | 5.61743i | −0.348035 | + | 0.292036i | ||||
\(371\) | −16.9513 | + | 14.2238i | −0.880068 | + | 0.738465i | ||||
\(372\) | −1.87939 | + | 3.25519i | −0.0974416 | + | 0.168774i | ||||
\(373\) | 11.9513 | + | 20.7003i | 0.618815 | + | 1.07182i | 0.989702 | + | 0.143141i | \(0.0457203\pi\) |
−0.370887 | + | 0.928678i | \(0.620946\pi\) | |||||||
\(374\) | −19.5052 | − | 7.09932i | −1.00859 | − | 0.367097i | ||||
\(375\) | 3.19253 | − | 18.1058i | 0.164862 | − | 0.934977i | ||||
\(376\) | −1.36959 | − | 7.76730i | −0.0706310 | − | 0.400568i | ||||
\(377\) | −15.2763 | + | 5.56012i | −0.786770 | + | 0.286361i | ||||
\(378\) | −11.5517 | − | 9.69302i | −0.594155 | − | 0.498555i | ||||
\(379\) | −17.8135 | −0.915016 | −0.457508 | − | 0.889206i | \(-0.651258\pi\) | ||||
−0.457508 | + | 0.889206i | \(0.651258\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 14.9067 | 0.763695 | ||||||||
\(382\) | −7.32501 | − | 6.14641i | −0.374780 | − | 0.314478i | ||||
\(383\) | 23.5672 | − | 8.57775i | 1.20423 | − | 0.438302i | 0.339529 | − | 0.940596i | \(-0.389732\pi\) |
0.864697 | + | 0.502293i | \(0.167510\pi\) | |||||||
\(384\) | 0.266044 | + | 1.50881i | 0.0135765 | + | 0.0769963i | ||||
\(385\) | 2.98040 | − | 16.9027i | 0.151895 | − | 0.861441i | ||||
\(386\) | 22.2528 | + | 8.09937i | 1.13264 | + | 0.412247i | ||||
\(387\) | 1.97906 | + | 3.42782i | 0.100601 | + | 0.174246i | ||||
\(388\) | −0.173648 | + | 0.300767i | −0.00881565 | + | 0.0152692i | ||||
\(389\) | −7.21482 | + | 6.05395i | −0.365806 | + | 0.306948i | −0.807100 | − | 0.590415i | \(-0.798964\pi\) |
0.441294 | + | 0.897363i | \(0.354520\pi\) | |||||||
\(390\) | 13.5175 | − | 11.3426i | 0.684487 | − | 0.574353i | ||||
\(391\) | −2.26352 | + | 3.92053i | −0.114471 | + | 0.198270i | ||||
\(392\) | 0.130415 | + | 0.225885i | 0.00658695 | + | 0.0114089i | ||||
\(393\) | −9.31180 | − | 3.38922i | −0.469718 | − | 0.170964i | ||||
\(394\) | 3.98040 | − | 22.5740i | 0.200530 | − | 1.13726i | ||||
\(395\) | 3.14796 | + | 17.8529i | 0.158391 | + | 0.898279i | ||||
\(396\) | 1.95336 | − | 0.710966i | 0.0981602 | − | 0.0357274i | ||||
\(397\) | 5.24897 | + | 4.40441i | 0.263438 | + | 0.221051i | 0.764933 | − | 0.644110i | \(-0.222772\pi\) |
−0.501495 | + | 0.865161i | \(0.667216\pi\) | |||||||
\(398\) | −10.0838 | −0.505454 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.00000 | −0.0500000 | ||||||||
\(401\) | −3.63634 | − | 3.05126i | −0.181590 | − | 0.152372i | 0.547461 | − | 0.836831i | \(-0.315594\pi\) |
−0.729052 | + | 0.684458i | \(0.760039\pi\) | |||||||
\(402\) | −7.13816 | + | 2.59808i | −0.356019 | + | 0.129580i | ||||
\(403\) | −2.45336 | − | 13.9137i | −0.122211 | − | 0.693091i | ||||
\(404\) | −0.0641778 | + | 0.363970i | −0.00319296 | + | 0.0181082i | ||||
\(405\) | 12.4338 | + | 4.52552i | 0.617839 | + | 0.224875i | ||||
\(406\) | 3.80335 | + | 6.58759i | 0.188757 | + | 0.326937i | ||||
\(407\) | −6.95811 | + | 12.0518i | −0.344901 | + | 0.597386i | ||||
\(408\) | −7.64930 | + | 6.41852i | −0.378697 | + | 0.317764i | ||||
\(409\) | −24.2781 | + | 20.3718i | −1.20048 | + | 1.00732i | −0.200860 | + | 0.979620i | \(0.564373\pi\) |
−0.999616 | + | 0.0276988i | \(0.991182\pi\) | |||||||
\(410\) | 0.347296 | − | 0.601535i | 0.0171517 | − | 0.0297077i | ||||
\(411\) | −8.93242 | − | 15.4714i | −0.440604 | − | 0.763148i | ||||
\(412\) | 8.06418 | + | 2.93512i | 0.397294 | + | 0.144603i | ||||
\(413\) | −0.268571 | + | 1.52314i | −0.0132155 | + | 0.0749488i | ||||
\(414\) | −0.0787257 | − | 0.446476i | −0.00386916 | − | 0.0219431i | ||||
\(415\) | −15.9290 | + | 5.79769i | −0.781925 | + | 0.284597i | ||||
\(416\) | −4.41147 | − | 3.70167i | −0.216290 | − | 0.181489i | ||||
\(417\) | 12.6604 | 0.619985 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −11.0101 | −0.537879 | −0.268939 | − | 0.963157i | \(-0.586673\pi\) | ||||
−0.268939 | + | 0.963157i | \(0.586673\pi\) | |||||||
\(420\) | −6.32501 | − | 5.30731i | −0.308629 | − | 0.258970i | ||||
\(421\) | −8.14290 | + | 2.96377i | −0.396861 | + | 0.144446i | −0.532738 | − | 0.846280i | \(-0.678837\pi\) |
0.135877 | + | 0.990726i | \(0.456615\pi\) | |||||||
\(422\) | −3.88279 | − | 22.0204i | −0.189011 | − | 1.07194i | ||||
\(423\) | −0.893933 | + | 5.06975i | −0.0434645 | + | 0.246500i | ||||
\(424\) | −7.71688 | − | 2.80872i | −0.374765 | − | 0.136403i | ||||
\(425\) | −3.25877 | − | 5.64436i | −0.158074 | − | 0.273791i | ||||
\(426\) | −6.47565 | + | 11.2162i | −0.313746 | + | 0.543425i | ||||
\(427\) | 6.06006 | − | 5.08499i | 0.293267 | − | 0.246080i | ||||
\(428\) | 8.77379 | − | 7.36208i | 0.424097 | − | 0.355860i | ||||
\(429\) | 14.0496 | − | 24.3347i | 0.678323 | − | 1.17489i | ||||
\(430\) | 6.06418 | + | 10.5035i | 0.292441 | + | 0.506522i | ||||
\(431\) | −28.0847 | − | 10.2220i | −1.35279 | − | 0.492376i | −0.438975 | − | 0.898499i | \(-0.644658\pi\) |
−0.913818 | + | 0.406123i | \(0.866880\pi\) | |||||||
\(432\) | 0.971782 | − | 5.51125i | 0.0467549 | − | 0.265160i | ||||
\(433\) | −1.60813 | − | 9.12014i | −0.0772816 | − | 0.438286i | −0.998757 | − | 0.0498486i | \(-0.984126\pi\) |
0.921475 | − | 0.388437i | \(-0.126985\pi\) | |||||||
\(434\) | −6.21213 | + | 2.26103i | −0.298192 | + | 0.108533i | ||||
\(435\) | −6.62630 | − | 5.56012i | −0.317707 | − | 0.266587i | ||||
\(436\) | −8.69459 | −0.416395 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 24.1557 | 1.15420 | ||||||||
\(439\) | −15.9813 | − | 13.4099i | −0.762747 | − | 0.640021i | 0.176093 | − | 0.984374i | \(-0.443654\pi\) |
−0.938840 | + | 0.344352i | \(0.888098\pi\) | |||||||
\(440\) | 5.98545 | − | 2.17853i | 0.285345 | − | 0.103857i | ||||
\(441\) | −0.0295627 | − | 0.167658i | −0.00140775 | − | 0.00798372i | ||||
\(442\) | 6.51754 | − | 36.9628i | 0.310008 | − | 1.75814i | ||||
\(443\) | −22.3910 | − | 8.14966i | −1.06383 | − | 0.387202i | −0.249963 | − | 0.968255i | \(-0.580418\pi\) |
−0.813865 | + | 0.581054i | \(0.802641\pi\) | |||||||
\(444\) | 3.34730 | + | 5.79769i | 0.158856 | + | 0.275146i | ||||
\(445\) | 7.73917 | − | 13.4046i | 0.366872 | − | 0.635441i | ||||
\(446\) | −7.10607 | + | 5.96270i | −0.336482 | + | 0.282342i | ||||
\(447\) | 19.3105 | − | 16.2034i | 0.913353 | − | 0.766395i | ||||
\(448\) | −1.34730 | + | 2.33359i | −0.0636538 | + | 0.110252i | ||||
\(449\) | −1.09105 | − | 1.88976i | −0.0514899 | − | 0.0891832i | 0.839132 | − | 0.543928i | \(-0.183064\pi\) |
−0.890622 | + | 0.454745i | \(0.849730\pi\) | |||||||
\(450\) | 0.613341 | + | 0.223238i | 0.0289132 | + | 0.0105235i | ||||
\(451\) | 0.192066 | − | 1.08926i | 0.00904406 | − | 0.0512914i | ||||
\(452\) | −0.496596 | − | 2.81634i | −0.0233579 | − | 0.132469i | ||||
\(453\) | −6.70233 | + | 2.43945i | −0.314903 | + | 0.114615i | ||||
\(454\) | 5.92649 | + | 4.97291i | 0.278144 | + | 0.233390i | ||||
\(455\) | 31.0351 | 1.45495 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.78106 | 0.0833144 | 0.0416572 | − | 0.999132i | \(-0.486736\pi\) | ||||
0.0416572 | + | 0.999132i | \(0.486736\pi\) | |||||||
\(458\) | 17.6459 | + | 14.8067i | 0.824539 | + | 0.691870i | ||||
\(459\) | 34.2743 | − | 12.4748i | 1.59979 | − | 0.582274i | ||||
\(460\) | −0.241230 | − | 1.36808i | −0.0112474 | − | 0.0637871i | ||||
\(461\) | −2.68954 | + | 15.2531i | −0.125264 | + | 0.710410i | 0.855886 | + | 0.517164i | \(0.173012\pi\) |
−0.981150 | + | 0.193245i | \(0.938099\pi\) | |||||||
\(462\) | −12.3550 | − | 4.49687i | −0.574808 | − | 0.209213i | ||||
\(463\) | 1.35504 | + | 2.34699i | 0.0629739 | + | 0.109074i | 0.895793 | − | 0.444471i | \(-0.146608\pi\) |
−0.832820 | + | 0.553545i | \(0.813275\pi\) | |||||||
\(464\) | −1.41147 | + | 2.44474i | −0.0655260 | + | 0.113494i | ||||
\(465\) | 5.75877 | − | 4.83218i | 0.267057 | − | 0.224087i | ||||
\(466\) | −6.43448 | + | 5.39917i | −0.298071 | + | 0.250112i | ||||
\(467\) | −6.45677 | + | 11.1834i | −0.298784 | + | 0.517508i | −0.975858 | − | 0.218406i | \(-0.929914\pi\) |
0.677074 | + | 0.735915i | \(0.263248\pi\) | |||||||
\(468\) | 1.87939 | + | 3.25519i | 0.0868746 | + | 0.150471i | ||||
\(469\) | −12.5544 | − | 4.56942i | −0.579707 | − | 0.210996i | ||||
\(470\) | −2.73917 | + | 15.5346i | −0.126348 | + | 0.716558i | ||||
\(471\) | −2.24897 | − | 12.7545i | −0.103627 | − | 0.587698i | ||||
\(472\) | −0.539363 | + | 0.196312i | −0.0248262 | + | 0.00903599i | ||||
\(473\) | 14.7947 | + | 12.4143i | 0.680262 | + | 0.570808i | ||||
\(474\) | 13.8871 | 0.637857 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −17.5621 | −0.804958 | ||||||||
\(477\) | 4.10607 | + | 3.44540i | 0.188004 | + | 0.157754i | ||||
\(478\) | −14.7811 | + | 5.37987i | −0.676070 | + | 0.246069i | ||||
\(479\) | −3.22163 | − | 18.2708i | −0.147200 | − | 0.834813i | −0.965574 | − | 0.260127i | \(-0.916236\pi\) |
0.818374 | − | 0.574685i | \(-0.194876\pi\) | |||||||
\(480\) | 0.532089 | − | 3.01763i | 0.0242864 | − | 0.137735i | ||||
\(481\) | −23.6459 | − | 8.60640i | −1.07816 | − | 0.392418i | ||||
\(482\) | −8.75150 | − | 15.1580i | −0.398620 | − | 0.690430i | ||||
\(483\) | −1.43376 | + | 2.48335i | −0.0652385 | + | 0.112996i | ||||
\(484\) | −0.656574 | + | 0.550931i | −0.0298443 | + | 0.0250423i | ||||
\(485\) | 0.532089 | − | 0.446476i | 0.0241609 | − | 0.0202734i | ||||
\(486\) | −3.32635 | + | 5.76141i | −0.150886 | + | 0.261343i | ||||
\(487\) | 20.5868 | + | 35.6573i | 0.932876 | + | 1.61579i | 0.778379 | + | 0.627795i | \(0.216042\pi\) |
0.154497 | + | 0.987993i | \(0.450624\pi\) | |||||||
\(488\) | 2.75877 | + | 1.00411i | 0.124884 | + | 0.0454539i | ||||
\(489\) | −4.53596 | + | 25.7247i | −0.205123 | + | 1.16331i | ||||
\(490\) | −0.0905853 | − | 0.513735i | −0.00409223 | − | 0.0232082i | ||||
\(491\) | 21.2160 | − | 7.72199i | 0.957465 | − | 0.348489i | 0.184425 | − | 0.982847i | \(-0.440958\pi\) |
0.773040 | + | 0.634358i | \(0.218735\pi\) | |||||||
\(492\) | −0.407604 | − | 0.342020i | −0.0183762 | − | 0.0154195i | ||||
\(493\) | −18.3987 | −0.828635 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −4.15745 | −0.186864 | ||||||||
\(496\) | −1.87939 | − | 1.57699i | −0.0843869 | − | 0.0708090i | ||||
\(497\) | −21.4047 | + | 7.79066i | −0.960131 | + | 0.349459i | ||||
\(498\) | 2.25490 | + | 12.7882i | 0.101044 | + | 0.573052i | ||||
\(499\) | −5.09286 | + | 28.8831i | −0.227988 | + | 1.29298i | 0.628902 | + | 0.777484i | \(0.283505\pi\) |
−0.856890 | + | 0.515499i | \(0.827607\pi\) | |||||||
\(500\) | 11.2763 | + | 4.10424i | 0.504292 | + | 0.183547i | ||||
\(501\) | 2.44562 | + | 4.23594i | 0.109262 | + | 0.189248i | ||||
\(502\) | 4.28359 | − | 7.41939i | 0.191186 | − | 0.331143i | ||||
\(503\) | 25.7520 | − | 21.6085i | 1.14822 | − | 0.963474i | 0.148547 | − | 0.988905i | \(-0.452540\pi\) |
0.999677 | + | 0.0254316i | \(0.00809602\pi\) | |||||||
\(504\) | 1.34730 | − | 1.13052i | 0.0600133 | − | 0.0503572i | ||||
\(505\) | 0.369585 | − | 0.640140i | 0.0164463 | − | 0.0284859i | ||||
\(506\) | −1.10607 | − | 1.91576i | −0.0491707 | − | 0.0851661i | ||||
\(507\) | 29.0292 | + | 10.5657i | 1.28923 | + | 0.469241i | ||||
\(508\) | −1.68954 | + | 9.58186i | −0.0749612 | + | 0.425126i | ||||
\(509\) | −0.699645 | − | 3.96788i | −0.0310112 | − | 0.175873i | 0.965368 | − | 0.260891i | \(-0.0840164\pi\) |
−0.996379 | + | 0.0850178i | \(0.972905\pi\) | |||||||
\(510\) | 18.7665 | − | 6.83045i | 0.830995 | − | 0.302457i | ||||
\(511\) | 32.5449 | + | 27.3084i | 1.43970 | + | 1.20805i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.02465 | −0.353952 | ||||||||
\(515\) | −13.1480 | − | 11.0324i | −0.579368 | − | 0.486148i | ||||
\(516\) | 8.73055 | − | 3.17766i | 0.384341 | − | 0.139889i | ||||
\(517\) | 4.36184 | + | 24.7372i | 0.191834 | + | 1.08794i | ||||
\(518\) | −2.04458 | + | 11.5954i | −0.0898336 | + | 0.509472i | ||||
\(519\) | −13.8648 | − | 5.04639i | −0.608599 | − | 0.221512i | ||||
\(520\) | 5.75877 | + | 9.97448i | 0.252539 | + | 0.437410i | ||||
\(521\) | 2.49479 | − | 4.32110i | 0.109299 | − | 0.189311i | −0.806188 | − | 0.591660i | \(-0.798473\pi\) |
0.915486 | + | 0.402349i | \(0.131806\pi\) | |||||||
\(522\) | 1.41147 | − | 1.18437i | 0.0617785 | − | 0.0518384i | ||||
\(523\) | 20.3405 | − | 17.0677i | 0.889427 | − | 0.746318i | −0.0786677 | − | 0.996901i | \(-0.525067\pi\) |
0.968095 | + | 0.250583i | \(0.0806222\pi\) | |||||||
\(524\) | 3.23396 | − | 5.60138i | 0.141276 | − | 0.244697i | ||||
\(525\) | −2.06418 | − | 3.57526i | −0.0900881 | − | 0.156037i | ||||
\(526\) | −5.60132 | − | 2.03871i | −0.244229 | − | 0.0888921i | ||||
\(527\) | 2.77662 | − | 15.7470i | 0.120951 | − | 0.685949i | ||||
\(528\) | −0.847296 | − | 4.80526i | −0.0368738 | − | 0.209122i | ||||
\(529\) | 21.1596 | − | 7.70145i | 0.919981 | − | 0.334846i | ||||
\(530\) | 12.5817 | + | 10.5573i | 0.546515 | + | 0.458580i | ||||
\(531\) | 0.374638 | 0.0162579 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.00000 | 0.0866296 | ||||||||
\(534\) | −9.08306 | − | 7.62159i | −0.393063 | − | 0.329819i | ||||
\(535\) | −21.5253 | + | 7.83456i | −0.930619 | + | 0.338718i | ||||
\(536\) | −0.860967 | − | 4.88279i | −0.0371881 | − | 0.210904i | ||||
\(537\) | 5.00593 | − | 28.3900i | 0.216022 | − | 1.22512i | ||||
\(538\) | 1.07873 | + | 0.392624i | 0.0465072 | + | 0.0169272i | ||||
\(539\) | −0.415345 | − | 0.719398i | −0.0178902 | − | 0.0309867i | ||||
\(540\) | −5.59627 | + | 9.69302i | −0.240825 | + | 0.417121i | ||||
\(541\) | −9.17024 | + | 7.69475i | −0.394260 | + | 0.330823i | −0.818270 | − | 0.574834i | \(-0.805067\pi\) |
0.424010 | + | 0.905657i | \(0.360622\pi\) | |||||||
\(542\) | −15.3628 | + | 12.8909i | −0.659888 | + | 0.553712i | ||||
\(543\) | −2.12836 | + | 3.68642i | −0.0913365 | + | 0.158199i | ||||
\(544\) | −3.25877 | − | 5.64436i | −0.139719 | − | 0.242000i | ||||
\(545\) | 16.3405 | + | 5.94745i | 0.699950 | + | 0.254761i | ||||
\(546\) | 4.12836 | − | 23.4131i | 0.176677 | − | 1.00199i | ||||
\(547\) | −0.555093 | − | 3.14809i | −0.0237341 | − | 0.134603i | 0.970638 | − | 0.240543i | \(-0.0773257\pi\) |
−0.994372 | + | 0.105941i | \(0.966215\pi\) | |||||||
\(548\) | 10.9572 | − | 3.98811i | 0.468070 | − | 0.170363i | ||||
\(549\) | −1.46791 | − | 1.23172i | −0.0626489 | − | 0.0525687i | ||||
\(550\) | 3.18479 | 0.135800 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −1.06418 | −0.0452944 | ||||||||
\(553\) | 18.7101 | + | 15.6996i | 0.795633 | + | 0.667616i | ||||
\(554\) | 16.3131 | − | 5.93750i | 0.693079 | − | 0.252260i | ||||
\(555\) | −2.32501 | − | 13.1858i | −0.0986911 | − | 0.559705i | ||||
\(556\) | −1.43494 | + | 8.13798i | −0.0608552 | + | 0.345127i | ||||
\(557\) | 22.5303 | + | 8.20037i | 0.954641 | + | 0.347461i | 0.771931 | − | 0.635706i | \(-0.219291\pi\) |
0.182710 | + | 0.983167i | \(0.441513\pi\) | |||||||
\(558\) | 0.800660 | + | 1.38678i | 0.0338946 | + | 0.0587072i | ||||
\(559\) | −17.4611 | + | 30.2435i | −0.738526 | + | 1.27916i | ||||
\(560\) | 4.12836 | − | 3.46410i | 0.174455 | − | 0.146385i | ||||
\(561\) | 24.3614 | − | 20.4417i | 1.02854 | − | 0.863048i | ||||
\(562\) | −1.46064 | + | 2.52990i | −0.0616133 | + | 0.106717i | ||||
\(563\) | −4.37851 | − | 7.58380i | −0.184532 | − | 0.319619i | 0.758887 | − | 0.651223i | \(-0.225744\pi\) |
−0.943419 | + | 0.331604i | \(0.892410\pi\) | |||||||
\(564\) | 11.3550 | + | 4.13290i | 0.478133 | + | 0.174026i | ||||
\(565\) | −0.993193 | + | 5.63268i | −0.0417839 | + | 0.236968i | ||||
\(566\) | 1.64631 | + | 9.33667i | 0.0691994 | + | 0.392450i | ||||
\(567\) | 16.7520 | − | 6.09722i | 0.703516 | − | 0.256059i | ||||
\(568\) | −6.47565 | − | 5.43372i | −0.271712 | − | 0.227994i | ||||
\(569\) | 36.4201 | 1.52681 | 0.763406 | − | 0.645919i | \(-0.223526\pi\) | ||||
0.763406 | + | 0.645919i | \(0.223526\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.2131 | 1.43177 | 0.715886 | − | 0.698217i | \(-0.246023\pi\) | ||||
0.715886 | + | 0.698217i | \(0.246023\pi\) | |||||||
\(572\) | 14.0496 | + | 11.7890i | 0.587445 | + | 0.492924i | ||||
\(573\) | 13.7665 | − | 5.01060i | 0.575104 | − | 0.209321i | ||||
\(574\) | −0.162504 | − | 0.921605i | −0.00678278 | − | 0.0384670i | ||||
\(575\) | 0.120615 | − | 0.684040i | 0.00502998 | − | 0.0285265i | ||||
\(576\) | 0.613341 | + | 0.223238i | 0.0255559 | + | 0.00930157i | ||||
\(577\) | −7.75490 | − | 13.4319i | −0.322841 | − | 0.559177i | 0.658232 | − | 0.752815i | \(-0.271304\pi\) |
−0.981073 | + | 0.193638i | \(0.937971\pi\) | |||||||
\(578\) | 12.7392 | − | 22.0649i | 0.529880 | − | 0.917778i | ||||
\(579\) | −27.7931 | + | 23.3212i | −1.15504 | + | 0.969196i | ||||
\(580\) | 4.32501 | − | 3.62911i | 0.179586 | − | 0.150691i | ||||
\(581\) | −11.4192 | + | 19.7787i | −0.473749 | + | 0.820557i | ||||
\(582\) | −0.266044 | − | 0.460802i | −0.0110279 | − | 0.0191009i | ||||
\(583\) | 24.5767 | + | 8.94517i | 1.01786 | + | 0.370471i | ||||
\(584\) | −2.73783 | + | 15.5270i | −0.113292 | + | 0.642511i | ||||
\(585\) | −1.30541 | − | 7.40333i | −0.0539719 | − | 0.306090i | ||||
\(586\) | 25.6459 | − | 9.33434i | 1.05942 | − | 0.385598i | ||||
\(587\) | −8.87211 | − | 7.44459i | −0.366191 | − | 0.307271i | 0.441061 | − | 0.897477i | \(-0.354602\pi\) |
−0.807253 | + | 0.590206i | \(0.799047\pi\) | |||||||
\(588\) | −0.399615 | −0.0164798 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 1.14796 | 0.0472606 | ||||||||
\(591\) | 26.9026 | + | 22.5740i | 1.10663 | + | 0.928569i | ||||
\(592\) | −4.10607 | + | 1.49449i | −0.168758 | + | 0.0614230i | ||||
\(593\) | −8.05603 | − | 45.6880i | −0.330821 | − | 1.87618i | −0.465131 | − | 0.885242i | \(-0.653993\pi\) |
0.134310 | − | 0.990939i | \(-0.457118\pi\) | |||||||
\(594\) | −3.09492 | + | 17.5522i | −0.126986 | + | 0.720175i | ||||
\(595\) | 33.0060 | + | 12.0132i | 1.35311 | + | 0.492493i | ||||
\(596\) | 8.22668 | + | 14.2490i | 0.336978 | + | 0.583663i | ||||
\(597\) | 7.72462 | − | 13.3794i | 0.316148 | − | 0.547584i | ||||
\(598\) | 3.06418 | − | 2.57115i | 0.125304 | − | 0.105142i | ||||
\(599\) | −19.6355 | + | 16.4761i | −0.802283 | + | 0.673196i | −0.948753 | − | 0.316019i | \(-0.897654\pi\) |
0.146469 | + | 0.989215i | \(0.453209\pi\) | |||||||
\(600\) | 0.766044 | − | 1.32683i | 0.0312736 | − | 0.0541675i | ||||
\(601\) | 3.99613 | + | 6.92150i | 0.163006 | + | 0.282334i | 0.935945 | − | 0.352146i | \(-0.114548\pi\) |
−0.772940 | + | 0.634480i | \(0.781214\pi\) | |||||||
\(602\) | 15.3550 | + | 5.58878i | 0.625825 | + | 0.227782i | ||||
\(603\) | −0.561956 | + | 3.18701i | −0.0228846 | + | 0.129785i | ||||
\(604\) | −0.808400 | − | 4.58467i | −0.0328933 | − | 0.186547i | ||||
\(605\) | 1.61081 | − | 0.586289i | 0.0654889 | − | 0.0238360i | ||||
\(606\) | −0.433763 | − | 0.363970i | −0.0176204 | − | 0.0147853i | ||||
\(607\) | 26.9905 | 1.09551 | 0.547755 | − | 0.836639i | \(-0.315482\pi\) | ||||
0.547755 | + | 0.836639i | \(0.315482\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −11.6541 | −0.472249 | ||||||||
\(610\) | −4.49794 | − | 3.77422i | −0.182116 | − | 0.152814i | ||||
\(611\) | −42.6810 | + | 15.5346i | −1.72669 | + | 0.628463i | ||||
\(612\) | 0.738703 | + | 4.18939i | 0.0298603 | + | 0.169346i | ||||
\(613\) | −2.47472 | + | 14.0348i | −0.0999529 | + | 0.566861i | 0.893164 | + | 0.449732i | \(0.148480\pi\) |
−0.993117 | + | 0.117130i | \(0.962631\pi\) | |||||||
\(614\) | −20.0424 | − | 7.29482i | −0.808844 | − | 0.294395i | ||||
\(615\) | 0.532089 | + | 0.921605i | 0.0214559 | + | 0.0371627i | ||||
\(616\) | 4.29086 | − | 7.43199i | 0.172884 | − | 0.299443i | ||||
\(617\) | −23.4106 | + | 19.6438i | −0.942475 | + | 0.790831i | −0.978014 | − | 0.208538i | \(-0.933130\pi\) |
0.0355392 | + | 0.999368i | \(0.488685\pi\) | |||||||
\(618\) | −10.0719 | + | 8.45134i | −0.405152 | + | 0.339963i | ||||
\(619\) | 14.3375 | − | 24.8333i | 0.576273 | − | 0.998133i | −0.419629 | − | 0.907695i | \(-0.637840\pi\) |
0.995902 | − | 0.0904380i | \(-0.0288267\pi\) | |||||||
\(620\) | 2.45336 | + | 4.24935i | 0.0985294 | + | 0.170658i | ||||
\(621\) | 3.65270 | + | 1.32948i | 0.146578 | + | 0.0533500i | ||||
\(622\) | 5.08647 | − | 28.8468i | 0.203949 | − | 1.15665i | ||||
\(623\) | −3.62124 | − | 20.5371i | −0.145082 | − | 0.822801i | ||||
\(624\) | 8.29086 | − | 3.01763i | 0.331900 | − | 0.120802i | ||||
\(625\) | −14.5548 | − | 12.2130i | −0.582194 | − | 0.488519i | ||||
\(626\) | −5.56118 | −0.222270 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 8.45336 | 0.337326 | ||||||||
\(629\) | −21.8161 | − | 18.3059i | −0.869867 | − | 0.729905i | ||||
\(630\) | −3.30541 | + | 1.20307i | −0.131691 | + | 0.0479315i | ||||
\(631\) | −0.781059 | − | 4.42961i | −0.0310935 | − | 0.176340i | 0.965306 | − | 0.261121i | \(-0.0840921\pi\) |
−0.996400 | + | 0.0847809i | \(0.972981\pi\) | |||||||
\(632\) | −1.57398 | + | 8.92647i | −0.0626095 | + | 0.355076i | ||||
\(633\) | 32.1917 | + | 11.7168i | 1.27950 | + | 0.465701i | ||||
\(634\) | −1.90167 | − | 3.29380i | −0.0755251 | − | 0.130813i | ||||
\(635\) | 9.72967 | − | 16.8523i | 0.386110 | − | 0.668763i | ||||
\(636\) | 9.63816 | − | 8.08737i | 0.382178 | − | 0.320685i | ||||
\(637\) | 1.15064 | − | 0.965505i | 0.0455902 | − | 0.0382547i | ||||
\(638\) | 4.49525 | − | 7.78601i | 0.177969 | − | 0.308251i | ||||
\(639\) | 2.75877 | + | 4.77833i | 0.109135 | + | 0.189028i | ||||
\(640\) | 1.87939 | + | 0.684040i | 0.0742892 | + | 0.0270391i | ||||
\(641\) | 2.01573 | − | 11.4318i | 0.0796165 | − | 0.451528i | −0.918772 | − | 0.394788i | \(-0.870818\pi\) |
0.998389 | − | 0.0567403i | \(-0.0180707\pi\) | |||||||
\(642\) | 3.04710 | + | 17.2810i | 0.120260 | + | 0.682026i | ||||
\(643\) | −24.4748 | + | 8.90809i | −0.965191 | + | 0.351301i | −0.776066 | − | 0.630652i | \(-0.782787\pi\) |
−0.189125 | + | 0.981953i | \(0.560565\pi\) | |||||||
\(644\) | −1.43376 | − | 1.20307i | −0.0564982 | − | 0.0474076i | ||||
\(645\) | −18.5817 | −0.731654 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −2.31490 | −0.0910082 | −0.0455041 | − | 0.998964i | \(-0.514489\pi\) | ||||
−0.0455041 | + | 0.998964i | \(0.514489\pi\) | |||||||
\(648\) | 5.06805 | + | 4.25260i | 0.199092 | + | 0.167058i | ||||
\(649\) | 1.71776 | − | 0.625213i | 0.0674279 | − | 0.0245418i | ||||
\(650\) | 1.00000 | + | 5.67128i | 0.0392232 | + | 0.222446i | ||||
\(651\) | 1.75877 | − | 9.97448i | 0.0689316 | − | 0.390931i | ||||
\(652\) | −16.0214 | − | 5.83132i | −0.627447 | − | 0.228372i | ||||
\(653\) | −1.65270 | − | 2.86257i | −0.0646753 | − | 0.112021i | 0.831875 | − | 0.554964i | \(-0.187268\pi\) |
−0.896550 | + | 0.442943i | \(0.853934\pi\) | |||||||
\(654\) | 6.66044 | − | 11.5362i | 0.260444 | − | 0.451102i | ||||
\(655\) | −9.90941 | + | 8.31499i | −0.387193 | + | 0.324893i | ||||
\(656\) | 0.266044 | − | 0.223238i | 0.0103873 | − | 0.00871597i | ||||
\(657\) | 5.14543 | − | 8.91215i | 0.200742 | − | 0.347696i | ||||
\(658\) | 10.6263 | + | 18.4053i | 0.414256 | + | 0.717513i | ||||
\(659\) | −12.9201 | − | 4.70253i | −0.503295 | − | 0.183185i | 0.0778802 | − | 0.996963i | \(-0.475185\pi\) |
−0.581176 | + | 0.813778i | \(0.697407\pi\) | |||||||
\(660\) | −1.69459 | + | 9.61051i | −0.0659619 | + | 0.374089i | ||||
\(661\) | 0.579030 | + | 3.28384i | 0.0225217 | + | 0.127727i | 0.993996 | − | 0.109419i | \(-0.0348991\pi\) |
−0.971474 | + | 0.237146i | \(0.923788\pi\) | |||||||
\(662\) | −19.1903 | + | 6.98470i | −0.745853 | + | 0.271468i | ||||
\(663\) | 44.0506 | + | 36.9628i | 1.71078 | + | 1.43552i | ||||
\(664\) | −8.47565 | −0.328919 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.85204 | 0.110514 | ||||||||
\(667\) | −1.50206 | − | 1.26038i | −0.0581600 | − | 0.0488020i | ||||
\(668\) | −3.00000 | + | 1.09191i | −0.116073 | + | 0.0422473i | ||||
\(669\) | −2.46791 | − | 13.9962i | −0.0954150 | − | 0.541125i | ||||
\(670\) | −1.72193 | + | 9.76557i | −0.0665241 | + | 0.377277i | ||||
\(671\) | −8.78611 | − | 3.19788i | −0.339184 | − | 0.123453i | ||||
\(672\) | −2.06418 | − | 3.57526i | −0.0796274 | − | 0.137919i | ||||
\(673\) | 19.4905 | − | 33.7585i | 0.751304 | − | 1.30130i | −0.195887 | − | 0.980626i | \(-0.562759\pi\) |
0.947191 | − | 0.320670i | \(-0.103908\pi\) | |||||||
\(674\) | 15.5587 | − | 13.0553i | 0.599299 | − | 0.502872i | ||||
\(675\) | −4.28699 | + | 3.59721i | −0.165006 | + | 0.138457i | ||||
\(676\) | −10.0817 | + | 17.4620i | −0.387758 | + | 0.671617i | ||||
\(677\) | −21.7939 | − | 37.7481i | −0.837606 | − | 1.45078i | −0.891891 | − | 0.452250i | \(-0.850621\pi\) |
0.0542853 | − | 0.998525i | \(-0.482712\pi\) | |||||||
\(678\) | 4.11721 | + | 1.49854i | 0.158121 | + | 0.0575512i | ||||
\(679\) | 0.162504 | − | 0.921605i | 0.00623632 | − | 0.0353680i | ||||
\(680\) | 2.26352 | + | 12.8370i | 0.0868020 | + | 0.492278i | ||||
\(681\) | −11.1382 | + | 4.05396i | −0.426815 | + | 0.155348i | ||||
\(682\) | 5.98545 | + | 5.02239i | 0.229195 | + | 0.192317i | ||||
\(683\) | −32.9317 | −1.26010 | −0.630048 | − | 0.776556i | \(-0.716965\pi\) | ||||
−0.630048 | + | 0.776556i | \(0.716965\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −23.3209 | −0.891045 | ||||||||
\(686\) | 13.9108 | + | 11.6726i | 0.531119 | + | 0.445661i | ||||
\(687\) | −33.1634 | + | 12.0705i | −1.26526 | + | 0.460518i | ||||
\(688\) | 1.05303 | + | 5.97205i | 0.0401465 | + | 0.227682i | ||||
\(689\) | −8.21213 | + | 46.5733i | −0.312857 | + | 1.77430i | ||||
\(690\) | 2.00000 | + | 0.727940i | 0.0761387 | + | 0.0277122i | ||||
\(691\) | −17.1604 | − | 29.7228i | −0.652814 | − | 1.13071i | −0.982437 | − | 0.186594i | \(-0.940255\pi\) |
0.329623 | − | 0.944113i | \(-0.393078\pi\) | |||||||
\(692\) | 4.81521 | − | 8.34018i | 0.183047 | − | 0.317046i | ||||
\(693\) | −4.29086 | + | 3.60046i | −0.162996 | + | 0.136770i | ||||
\(694\) | −3.99479 | + | 3.35202i | −0.151640 | + | 0.127241i | ||||
\(695\) | 8.26352 | − | 14.3128i | 0.313453 | − | 0.542917i | ||||
\(696\) | −2.16250 | − | 3.74557i | −0.0819695 | − | 0.141975i | ||||
\(697\) | 2.12701 | + | 0.774169i | 0.0805663 | + | 0.0293237i | ||||
\(698\) | −2.49020 | + | 14.1226i | −0.0942555 | + | 0.534549i | ||||
\(699\) | −2.23467 | − | 12.6734i | −0.0845230 | − | 0.479354i | ||||
\(700\) | 2.53209 | − | 0.921605i | 0.0957040 | − | 0.0348334i | ||||
\(701\) | 4.94356 | + | 4.14814i | 0.186716 | + | 0.156673i | 0.731354 | − | 0.681998i | \(-0.238889\pi\) |
−0.544638 | + | 0.838671i | \(0.683333\pi\) | |||||||
\(702\) | −32.2276 | −1.21635 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 3.18479 | 0.120031 | ||||||||
\(705\) | −18.5134 | − | 15.5346i | −0.697256 | − | 0.585067i | ||||
\(706\) | 24.6668 | − | 8.97800i | 0.928349 | − | 0.337891i | ||||
\(707\) | −0.172933 | − | 0.980752i | −0.00650381 | − | 0.0368850i | ||||
\(708\) | 0.152704 | − | 0.866025i | 0.00573895 | − | 0.0325472i | ||||
\(709\) | 3.17530 | + | 1.15571i | 0.119251 | + | 0.0434037i | 0.400956 | − | 0.916097i | \(-0.368678\pi\) |
−0.281706 | + | 0.959501i | \(0.590900\pi\) | |||||||
\(710\) | 8.45336 | + | 14.6417i | 0.317249 | + | 0.549492i | ||||
\(711\) | 2.95811 | − | 5.12360i | 0.110938 | − | 0.192150i | ||||
\(712\) | 5.92855 | − | 4.97464i | 0.222182 | − | 0.186433i | ||||
\(713\) | 1.30541 | − | 1.09537i | 0.0488879 | − | 0.0410218i | ||||
\(714\) | 13.4534 | − | 23.3019i | 0.503479 | − | 0.872052i | ||||
\(715\) | −18.3405 | − | 31.7667i | −0.685895 | − | 1.18801i | ||||
\(716\) | 17.6814 | + | 6.43550i | 0.660785 | + | 0.240506i | ||||
\(717\) | 4.18479 | − | 23.7331i | 0.156284 | − | 0.886330i | ||||
\(718\) | 5.85029 | + | 33.1786i | 0.218331 | + | 1.23822i | ||||
\(719\) | 29.3209 | − | 10.6719i | 1.09348 | − | 0.397996i | 0.268574 | − | 0.963259i | \(-0.413448\pi\) |
0.824911 | + | 0.565263i | \(0.191225\pi\) | |||||||
\(720\) | −1.00000 | − | 0.839100i | −0.0372678 | − | 0.0312714i | ||||
\(721\) | −23.1242 | −0.861192 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 26.8161 | 0.997303 | ||||||||
\(724\) | −2.12836 | − | 1.78590i | −0.0790997 | − | 0.0663725i | ||||
\(725\) | 2.65270 | − | 0.965505i | 0.0985189 | − | 0.0358580i | ||||
\(726\) | −0.228026 | − | 1.29320i | −0.00846283 | − | 0.0479951i | ||||
\(727\) | −4.45605 | + | 25.2715i | −0.165266 | + | 0.937269i | 0.783524 | + | 0.621361i | \(0.213420\pi\) |
−0.948790 | + | 0.315908i | \(0.897691\pi\) | |||||||
\(728\) | 14.5817 | + | 5.30731i | 0.540434 | + | 0.196702i | ||||
\(729\) | −15.0201 | − | 26.0155i | −0.556299 | − | 0.963538i | ||||
\(730\) | 15.7665 | − | 27.3084i | 0.583545 | − | 1.01073i | ||||
\(731\) | −30.2768 | + | 25.4052i | −1.11983 | + | 0.939647i | ||||
\(732\) | −3.44562 | + | 2.89122i | −0.127354 | + | 0.106863i | ||||
\(733\) | 11.9368 | − | 20.6751i | 0.440894 | − | 0.763651i | −0.556862 | − | 0.830605i | \(-0.687995\pi\) |
0.997756 | + | 0.0669540i | \(0.0213281\pi\) | |||||||
\(734\) | −5.23442 | − | 9.06629i | −0.193206 | − | 0.334643i | ||||
\(735\) | 0.751030 | + | 0.273352i | 0.0277021 | + | 0.0100828i | ||||
\(736\) | 0.120615 | − | 0.684040i | 0.00444592 | − | 0.0252141i | ||||
\(737\) | 2.74200 | + | 15.5507i | 0.101003 | + | 0.572816i | ||||
\(738\) | −0.213011 | + | 0.0775297i | −0.00784104 | + | 0.00285391i | ||||
\(739\) | −35.1924 | − | 29.5299i | −1.29457 | − | 1.08628i | −0.991056 | − | 0.133449i | \(-0.957395\pi\) |
−0.303517 | − | 0.952826i | \(-0.598161\pi\) | |||||||
\(740\) | 8.73917 | 0.321258 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 22.1284 | 0.812357 | ||||||||
\(743\) | 39.0770 | + | 32.7895i | 1.43360 | + | 1.20293i | 0.943549 | + | 0.331232i | \(0.107464\pi\) |
0.490046 | + | 0.871697i | \(0.336980\pi\) | |||||||
\(744\) | 3.53209 | − | 1.28558i | 0.129493 | − | 0.0471315i | ||||
\(745\) | −5.71419 | − | 32.4068i | −0.209352 | − | 1.18729i | ||||
\(746\) | 4.15064 | − | 23.5395i | 0.151966 | − | 0.861841i | ||||
\(747\) | 5.19846 | + | 1.89209i | 0.190202 | + | 0.0692278i | ||||
\(748\) | 10.3785 | + | 17.9761i | 0.379476 | + | 0.657271i | ||||
\(749\) | −15.4311 | + | 26.7274i | −0.563839 | + | 0.976598i | ||||
\(750\) | −14.0838 | + | 11.8177i | −0.514267 | + | 0.431521i | ||||
\(751\) | 27.8607 | − | 23.3779i | 1.01665 | − | 0.853072i | 0.0274489 | − | 0.999623i | \(-0.491262\pi\) |
0.989203 | + | 0.146551i | \(0.0468172\pi\) | |||||||
\(752\) | −3.94356 | + | 6.83045i | −0.143807 | + | 0.249081i | ||||
\(753\) | 6.56283 | + | 11.3672i | 0.239163 | + | 0.414242i | ||||
\(754\) | 15.2763 | + | 5.56012i | 0.556330 | + | 0.202488i | ||||
\(755\) | −1.61680 | + | 9.16933i | −0.0588414 | + | 0.333706i | ||||
\(756\) | 2.61856 | + | 14.8506i | 0.0952359 | + | 0.540110i | ||||
\(757\) | 5.45336 | − | 1.98486i | 0.198206 | − | 0.0721410i | −0.241010 | − | 0.970523i | \(-0.577479\pi\) |
0.439216 | + | 0.898382i | \(0.355256\pi\) | |||||||
\(758\) | 13.6459 | + | 11.4503i | 0.495641 | + | 0.415892i | ||||
\(759\) | 3.38919 | 0.123020 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 22.6355 | 0.820535 | 0.410268 | − | 0.911965i | \(-0.365435\pi\) | ||||
0.410268 | + | 0.911965i | \(0.365435\pi\) | |||||||
\(762\) | −11.4192 | − | 9.58186i | −0.413675 | − | 0.347114i | ||||
\(763\) | 22.0155 | − | 8.01298i | 0.797014 | − | 0.290089i | ||||
\(764\) | 1.66044 | + | 9.41685i | 0.0600728 | + | 0.340690i | ||||
\(765\) | 1.47741 | − | 8.37879i | 0.0534157 | − | 0.302936i | ||||
\(766\) | −23.5672 | − | 8.57775i | −0.851516 | − | 0.309927i | ||||
\(767\) | 1.65270 | + | 2.86257i | 0.0596757 | + | 0.103361i | ||||
\(768\) | 0.766044 | − | 1.32683i | 0.0276422 | − | 0.0478778i | ||||
\(769\) | 8.35188 | − | 7.00806i | 0.301177 | − | 0.252717i | −0.479657 | − | 0.877456i | \(-0.659239\pi\) |
0.780834 | + | 0.624739i | \(0.214795\pi\) | |||||||
\(770\) | −13.1480 | + | 11.0324i | −0.473819 | + | 0.397582i | ||||
\(771\) | 6.14724 | − | 10.6473i | 0.221387 | − | 0.383454i | ||||
\(772\) | −11.8405 | − | 20.5083i | −0.426149 | − | 0.738111i | ||||
\(773\) | −4.93407 | − | 1.79585i | −0.177466 | − | 0.0645924i | 0.251759 | − | 0.967790i | \(-0.418991\pi\) |
−0.429225 | + | 0.903198i | \(0.641213\pi\) | |||||||
\(774\) | 0.687319 | − | 3.89798i | 0.0247052 | − | 0.140110i | ||||
\(775\) | 0.426022 | + | 2.41609i | 0.0153032 | + | 0.0867886i | ||||
\(776\) | 0.326352 | − | 0.118782i | 0.0117153 | − | 0.00426404i | ||||
\(777\) | −13.8188 | − | 11.5954i | −0.495748 | − | 0.415982i | ||||
\(778\) | 9.41828 | 0.337662 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −17.6459 | −0.631824 | ||||||||
\(781\) | 20.6236 | + | 17.3053i | 0.737971 | + | 0.619231i | ||||
\(782\) | 4.25402 | − | 1.54834i | 0.152124 | − | 0.0553684i | ||||
\(783\) | 2.74329 | + | 15.5580i | 0.0980371 | + | 0.555996i | ||||
\(784\) | 0.0452926 | − | 0.256867i | 0.00161759 | − | 0.00917383i | ||||
\(785\) | −15.8871 | − | 5.78244i | −0.567036 | − | 0.206384i | ||||
\(786\) | 4.95471 | + | 8.58180i | 0.176729 | + | 0.306103i | ||||
\(787\) | −1.19372 | + | 2.06758i | −0.0425514 | + | 0.0737011i | −0.886517 | − | 0.462697i | \(-0.846882\pi\) |
0.843965 | + | 0.536398i | \(0.180215\pi\) | |||||||
\(788\) | −17.5594 | + | 14.7341i | −0.625529 | + | 0.524881i | ||||
\(789\) | 6.99588 | − | 5.87024i | 0.249060 | − | 0.208986i | ||||
\(790\) | 9.06418 | − | 15.6996i | 0.322489 | − | 0.558567i | ||||
\(791\) | 3.85298 | + | 6.67355i | 0.136996 | + | 0.237284i | ||||
\(792\) | −1.95336 | − | 0.710966i | −0.0694097 | − | 0.0252631i | ||||
\(793\) | 2.93582 | − | 16.6499i | 0.104254 | − | 0.591254i | ||||
\(794\) | −1.18984 | − | 6.74795i | −0.0422260 | − | 0.239476i | ||||
\(795\) | −23.6459 | + | 8.60640i | −0.838634 | + | 0.305238i | ||||
\(796\) | 7.72462 | + | 6.48173i | 0.273792 | + | 0.229739i | ||||
\(797\) | −31.0951 | −1.10145 | −0.550723 | − | 0.834688i | \(-0.685648\pi\) | ||||
−0.550723 | + | 0.834688i | \(0.685648\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −51.4047 | −1.81857 | ||||||||
\(800\) | 0.766044 | + | 0.642788i | 0.0270838 | + | 0.0227260i | ||||
\(801\) | −4.74675 | + | 1.72768i | −0.167718 | + | 0.0610444i | ||||
\(802\) | 0.824292 | + | 4.67479i | 0.0291068 | + | 0.165073i | ||||
\(803\) | 8.71941 | − | 49.4502i | 0.307701 | − | 1.74506i | ||||
\(804\) | 7.13816 | + | 2.59808i | 0.251743 | + | 0.0916271i | ||||
\(805\) | 1.87164 | + | 3.24178i | 0.0659668 | + | 0.114258i | ||||
\(806\) | −7.06418 | + | 12.2355i | −0.248825 | + | 0.430978i | ||||
\(807\) | −1.34730 | + | 1.13052i | −0.0474271 | + | 0.0397960i | ||||
\(808\) | 0.283119 | − | 0.237565i | 0.00996008 | − | 0.00835750i | ||||
\(809\) | −11.1518 | + | 19.3155i | −0.392077 | + | 0.679098i | −0.992723 | − | 0.120417i | \(-0.961577\pi\) |
0.600646 | + | 0.799515i | \(0.294910\pi\) | |||||||
\(810\) | −6.61587 | − | 11.4590i | −0.232458 | − | 0.402629i | ||||
\(811\) | 3.11886 | + | 1.13517i | 0.109518 | + | 0.0398613i | 0.396198 | − | 0.918165i | \(-0.370329\pi\) |
−0.286680 | + | 0.958026i | \(0.592552\pi\) | |||||||
\(812\) | 1.32089 | − | 7.49113i | 0.0463541 | − | 0.262887i | ||||
\(813\) | −5.33544 | − | 30.2588i | −0.187122 | − | 1.06122i | ||||
\(814\) | 13.0770 | − | 4.75963i | 0.458348 | − | 0.166825i | ||||
\(815\) | 26.1215 | + | 21.9186i | 0.914998 | + | 0.767774i | ||||
\(816\) | 9.98545 | 0.349561 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 31.6928 | 1.10811 | ||||||||
\(819\) | −7.75877 | − | 6.51038i | −0.271113 | − | 0.227491i | ||||
\(820\) | −0.652704 | + | 0.237565i | −0.0227934 | + | 0.00829612i | ||||
\(821\) | −0.318201 | − | 1.80460i | −0.0111053 | − | 0.0629811i | 0.978752 | − | 0.205050i | \(-0.0657357\pi\) |
−0.989857 | + | 0.142069i | \(0.954625\pi\) | |||||||
\(822\) | −3.10220 | + | 17.5934i | −0.108202 | + | 0.613641i | ||||
\(823\) | 32.1729 | + | 11.7100i | 1.12148 | + | 0.408185i | 0.835191 | − | 0.549959i | \(-0.185357\pi\) |
0.286287 | + | 0.958144i | \(0.407579\pi\) | |||||||
\(824\) | −4.29086 | − | 7.43199i | −0.149479 | − | 0.258906i | ||||
\(825\) | −2.43969 | + | 4.22567i | −0.0849392 | + | 0.147119i | ||||
\(826\) | 1.18479 | − | 0.994159i | 0.0412242 | − | 0.0345912i | ||||
\(827\) | 15.2181 | − | 12.7695i | 0.529184 | − | 0.444038i | −0.338636 | − | 0.940918i | \(-0.609965\pi\) |
0.867820 | + | 0.496880i | \(0.165521\pi\) | |||||||
\(828\) | −0.226682 | + | 0.392624i | −0.00787773 | + | 0.0136446i | ||||
\(829\) | −17.8675 | − | 30.9475i | −0.620565 | − | 1.07485i | −0.989381 | − | 0.145347i | \(-0.953570\pi\) |
0.368816 | − | 0.929502i | \(-0.379763\pi\) | |||||||
\(830\) | 15.9290 | + | 5.79769i | 0.552904 | + | 0.201241i | ||||
\(831\) | −4.61856 | + | 26.1931i | −0.160216 | + | 0.908630i | ||||
\(832\) | 1.00000 | + | 5.67128i | 0.0346688 | + | 0.196616i | ||||
\(833\) | 1.59745 | − | 0.581424i | 0.0553483 | − | 0.0201451i | ||||
\(834\) | −9.69846 | − | 8.13798i | −0.335830 | − | 0.281795i | ||||
\(835\) | 6.38507 | 0.220964 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −13.7297 | −0.474567 | ||||||||
\(838\) | 8.43423 | + | 7.07716i | 0.291356 | + | 0.244476i | ||||
\(839\) | −51.1147 | + | 18.6042i | −1.76468 | + | 0.642290i | −0.999998 | − | 0.00212143i | \(-0.999325\pi\) |
−0.764679 | + | 0.644411i | \(0.777103\pi\) | |||||||
\(840\) | 1.43376 | + | 8.13127i | 0.0494695 | + | 0.280556i | ||||
\(841\) | −3.65199 | + | 20.7115i | −0.125931 | + | 0.714188i | ||||
\(842\) | 8.14290 | + | 2.96377i | 0.280623 | + | 0.102138i | ||||
\(843\) | −2.23783 | − | 3.87603i | −0.0770748 | − | 0.133498i | ||||
\(844\) | −11.1800 | + | 19.3644i | −0.384833 | + | 0.666550i | ||||
\(845\) | 30.8922 | − | 25.9216i | 1.06272 | − | 0.891731i | ||||
\(846\) | 3.94356 | − | 3.30904i | 0.135582 | − | 0.113767i | ||||
\(847\) | 1.15476 | − | 2.00011i | 0.0396781 | − | 0.0687245i | ||||
\(848\) | 4.10607 | + | 7.11192i | 0.141003 | + | 0.244224i | ||||
\(849\) | −13.6493 | − | 4.96794i | −0.468443 | − | 0.170499i | ||||
\(850\) | −1.13176 | + | 6.41852i | −0.0388190 | + | 0.220154i | ||||
\(851\) | −0.527036 | − | 2.98897i | −0.0180666 | − | 0.102461i | ||||
\(852\) | 12.1702 | − | 4.42961i | 0.416946 | − | 0.151756i | ||||
\(853\) | 12.2385 | + | 10.2694i | 0.419040 | + | 0.351616i | 0.827798 | − | 0.561027i | \(-0.189594\pi\) |
−0.408758 | + | 0.912643i | \(0.634038\pi\) | |||||||
\(854\) | −7.91085 | −0.270704 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −11.4534 | −0.391468 | ||||||||
\(857\) | 19.9283 | + | 16.7218i | 0.680738 | + | 0.571207i | 0.916222 | − | 0.400671i | \(-0.131223\pi\) |
−0.235484 | + | 0.971878i | \(0.575668\pi\) | |||||||
\(858\) | −26.4047 | + | 9.61051i | −0.901440 | + | 0.328097i | ||||
\(859\) | 9.25031 | + | 52.4611i | 0.315617 | + | 1.78995i | 0.568740 | + | 0.822517i | \(0.307431\pi\) |
−0.253124 | + | 0.967434i | \(0.581458\pi\) | |||||||
\(860\) | 2.10607 | − | 11.9441i | 0.0718163 | − | 0.407290i | ||||
\(861\) | 1.34730 | + | 0.490376i | 0.0459157 | + | 0.0167120i | ||||
\(862\) | 14.9436 | + | 25.8830i | 0.508980 | + | 0.881579i | ||||
\(863\) | 1.61587 | − | 2.79876i | 0.0550048 | − | 0.0952710i | −0.837212 | − | 0.546879i | \(-0.815816\pi\) |
0.892217 | + | 0.451608i | \(0.149149\pi\) | |||||||
\(864\) | −4.28699 | + | 3.59721i | −0.145846 | + | 0.122380i | ||||
\(865\) | −14.7547 | + | 12.3806i | −0.501673 | + | 0.420954i | ||||
\(866\) | −4.63041 | + | 8.02011i | −0.157348 | + | 0.272535i | ||||
\(867\) | 19.5175 | + | 33.8054i | 0.662850 | + | 1.14809i | ||||
\(868\) | 6.21213 | + | 2.26103i | 0.210854 | + | 0.0767444i | ||||
\(869\) | 5.01279 | − | 28.4290i | 0.170047 | − | 0.964387i | ||||
\(870\) | 1.50206 | + | 8.51860i | 0.0509246 | + | 0.288808i | ||||
\(871\) | −26.8307 | + | 9.76557i | −0.909123 | + | 0.330894i | ||||
\(872\) | 6.66044 | + | 5.58878i | 0.225551 | + | 0.189260i | ||||
\(873\) | −0.226682 | −0.00767201 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −32.3351 | −1.09313 | ||||||||
\(876\) | −18.5043 | − | 15.5270i | −0.625204 | − | 0.524608i | ||||
\(877\) | 11.0172 | − | 4.00995i | 0.372026 | − | 0.135406i | −0.149239 | − | 0.988801i | \(-0.547683\pi\) |
0.521265 | + | 0.853395i | \(0.325460\pi\) | |||||||
\(878\) | 3.62267 | + | 20.5452i | 0.122259 | + | 0.693367i | ||||
\(879\) | −7.26083 | + | 41.1782i | −0.244902 | + | 1.38891i | ||||
\(880\) | −5.98545 | − | 2.17853i | −0.201770 | − | 0.0734381i | ||||
\(881\) | −13.5236 | − | 23.4236i | −0.455623 | − | 0.789162i | 0.543101 | − | 0.839667i | \(-0.317250\pi\) |
−0.998724 | + | 0.0505056i | \(0.983917\pi\) | |||||||
\(882\) | −0.0851223 | + | 0.147436i | −0.00286622 | + | 0.00496443i | ||||
\(883\) | 11.0931 | − | 9.30823i | 0.373313 | − | 0.313247i | −0.436758 | − | 0.899579i | \(-0.643873\pi\) |
0.810070 | + | 0.586333i | \(0.199429\pi\) | |||||||
\(884\) | −28.7520 | + | 24.1258i | −0.967033 | + | 0.811437i | ||||
\(885\) | −0.879385 | + | 1.52314i | −0.0295602 | + | 0.0511998i | ||||
\(886\) | 11.9140 | + | 20.6357i | 0.400259 | + | 0.693268i | ||||
\(887\) | −10.8922 | − | 3.96443i | −0.365724 | − | 0.133112i | 0.152620 | − | 0.988285i | \(-0.451229\pi\) |
−0.518344 | + | 0.855172i | \(0.673451\pi\) | |||||||
\(888\) | 1.16250 | − | 6.59289i | 0.0390111 | − | 0.221243i | ||||
\(889\) | −4.55262 | − | 25.8192i | −0.152690 | − | 0.865948i | ||||
\(890\) | −14.5449 | + | 5.29390i | −0.487546 | + | 0.177452i | ||||
\(891\) | −16.1407 | − | 13.5436i | −0.540733 | − | 0.453729i | ||||
\(892\) | 9.27631 | 0.310594 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −25.2080 | −0.843082 | ||||||||
\(895\) | −28.8280 | − | 24.1896i | −0.963614 | − | 0.808568i | ||||
\(896\) | 2.53209 | − | 0.921605i | 0.0845912 | − | 0.0307887i | ||||
\(897\) | 1.06418 | + | 6.03525i | 0.0355319 | + | 0.201511i | ||||
\(898\) | −0.378918 | + | 2.14895i | −0.0126447 | + | 0.0717115i | ||||
\(899\) | 6.50805 | + | 2.36873i | 0.217055 | + | 0.0790017i | ||||
\(900\) | −0.326352 | − | 0.565258i | −0.0108784 | − | 0.0188419i | ||||
\(901\) | −26.7615 | + | 46.3522i | −0.891553 | + | 1.54422i | ||||
\(902\) | −0.847296 | + | 0.710966i | −0.0282119 | + | 0.0236726i | ||||
\(903\) | −19.1780 | + | 16.0922i | −0.638203 | + | 0.535516i | ||||
\(904\) | −1.42989 | + | 2.47665i | −0.0475575 | + | 0.0823720i | ||||
\(905\) | 2.77837 | + | 4.81228i | 0.0923562 | + | 0.159966i | ||||
\(906\) | 6.70233 | + | 2.43945i | 0.222670 | + | 0.0810453i | ||||
\(907\) | −7.28952 | + | 41.3409i | −0.242044 | + | 1.37270i | 0.585213 | + | 0.810879i | \(0.301011\pi\) |
−0.827258 | + | 0.561823i | \(0.810100\pi\) | |||||||
\(908\) | −1.34343 | − | 7.61895i | −0.0445832 | − | 0.252844i | ||||
\(909\) | −0.226682 | + | 0.0825054i | −0.00751855 | + | 0.00273653i | ||||
\(910\) | −23.7743 | − | 19.9490i | −0.788109 | − | 0.661302i | ||||
\(911\) | 44.8675 | 1.48653 | 0.743264 | − | 0.668999i | \(-0.233277\pi\) | ||||
0.743264 | + | 0.668999i | \(0.233277\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 26.9932 | 0.893344 | ||||||||
\(914\) | −1.36437 | − | 1.14484i | −0.0451294 | − | 0.0378680i | ||||
\(915\) | 8.45336 | − | 3.07677i | 0.279460 | − | 0.101715i | ||||
\(916\) | −4.00000 | − | 22.6851i | −0.132164 | − | 0.749538i | ||||
\(917\) | −3.02641 | + | 17.1636i | −0.0999408 | + | 0.566792i | ||||
\(918\) | −34.2743 | − | 12.4748i | −1.13122 | − | 0.411730i | ||||
\(919\) | 16.2635 | + | 28.1692i | 0.536484 | + | 0.929217i | 0.999090 | + | 0.0426535i | \(0.0135811\pi\) |
−0.462606 | + | 0.886564i | \(0.653086\pi\) | |||||||
\(920\) | −0.694593 | + | 1.20307i | −0.0229000 | + | 0.0396640i | ||||
\(921\) | 25.0323 | − | 21.0046i | 0.824843 | − | 0.692125i | ||||
\(922\) | 11.8648 | − | 9.95578i | 0.390748 | − | 0.327876i | ||||
\(923\) | −24.3405 | + | 42.1590i | −0.801177 | + | 1.38768i | ||||
\(924\) | 6.57398 | + | 11.3865i | 0.216268 | + | 0.374587i | ||||
\(925\) | 4.10607 | + | 1.49449i | 0.135007 | + | 0.0491384i | ||||
\(926\) | 0.470599 | − | 2.66890i | 0.0154649 | − | 0.0877056i | ||||
\(927\) | 0.972659 | + | 5.51622i | 0.0319463 | + | 0.181177i | ||||
\(928\) | 2.65270 | − | 0.965505i | 0.0870793 | − | 0.0316943i | ||||
\(929\) | 9.07011 | + | 7.61072i | 0.297581 | + | 0.249700i | 0.779336 | − | 0.626606i | \(-0.215556\pi\) |
−0.481756 | + | 0.876305i | \(0.660001\pi\) | |||||||
\(930\) | −7.51754 | −0.246510 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 8.39961 | 0.275139 | ||||||||
\(933\) | 34.3783 | + | 28.8468i | 1.12549 | + | 0.944401i | ||||
\(934\) | 12.1348 | − | 4.41669i | 0.397061 | − | 0.144518i | ||||
\(935\) | −7.20884 | − | 40.8833i | −0.235754 | − | 1.33703i | ||||
\(936\) | 0.652704 | − | 3.70167i | 0.0213343 | − | 0.120993i | ||||
\(937\) | 0.717759 | + | 0.261243i | 0.0234482 | + | 0.00853443i | 0.353718 | − | 0.935352i | \(-0.384917\pi\) |
−0.330269 | + | 0.943887i | \(0.607140\pi\) | |||||||
\(938\) | 6.68004 | + | 11.5702i | 0.218111 | + | 0.377780i | ||||
\(939\) | 4.26011 | − | 7.37874i | 0.139024 | − | 0.240796i | ||||
\(940\) | 12.0838 | − | 10.1395i | 0.394129 | − | 0.330714i | ||||
\(941\) | 16.4652 | − | 13.8160i | 0.536751 | − | 0.450388i | −0.333674 | − | 0.942688i | \(-0.608289\pi\) |
0.870425 | + | 0.492301i | \(0.163844\pi\) | |||||||
\(942\) | −6.47565 | + | 11.2162i | −0.210988 | + | 0.365442i | ||||
\(943\) | 0.120615 | + | 0.208911i | 0.00392776 | + | 0.00680307i | ||||
\(944\) | 0.539363 | + | 0.196312i | 0.0175548 | + | 0.00638941i | ||||
\(945\) | 5.23711 | − | 29.7011i | 0.170363 | − | 0.966178i | ||||
\(946\) | −3.35369 | − | 19.0197i | −0.109038 | − | 0.618385i | ||||
\(947\) | −29.7743 | + | 10.8369i | −0.967533 | + | 0.352153i | −0.776981 | − | 0.629524i | \(-0.783250\pi\) |
−0.190552 | + | 0.981677i | \(0.561028\pi\) | |||||||
\(948\) | −10.6382 | − | 8.92647i | −0.345511 | − | 0.289918i | ||||
\(949\) | 90.7957 | 2.94735 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 5.82707 | 0.188956 | ||||||||
\(952\) | 13.4534 | + | 11.2887i | 0.436026 | + | 0.365869i | ||||
\(953\) | 52.5017 | − | 19.1091i | 1.70070 | − | 0.619003i | 0.704792 | − | 0.709414i | \(-0.251040\pi\) |
0.995905 | + | 0.0904104i | \(0.0288179\pi\) | |||||||
\(954\) | −0.930770 | − | 5.27866i | −0.0301348 | − | 0.170903i | ||||
\(955\) | 3.32089 | − | 18.8337i | 0.107461 | − | 0.609444i | ||||
\(956\) | 14.7811 | + | 5.37987i | 0.478054 | + | 0.173997i | ||||
\(957\) | 6.88713 | + | 11.9289i | 0.222629 | + | 0.385605i | ||||
\(958\) | −9.27631 | + | 16.0670i | −0.299704 | + | 0.519103i | ||||
\(959\) | −24.0692 | + | 20.1965i | −0.777236 | + | 0.652178i | ||||
\(960\) | −2.34730 | + | 1.96962i | −0.0757587 | + | 0.0635691i | ||||
\(961\) | 12.4905 | − | 21.6342i | 0.402920 | − | 0.697877i | ||||
\(962\) | 12.5817 | + | 21.7922i | 0.405651 | + | 0.702608i | ||||
\(963\) | 7.02481 | + | 2.55682i | 0.226371 | + | 0.0823925i | ||||
\(964\) | −3.03936 | + | 17.2371i | −0.0978913 | + | 0.555169i | ||||
\(965\) | 8.22432 | + | 46.6424i | 0.264750 | + | 1.50147i | ||||
\(966\) | 2.69459 | − | 0.980752i | 0.0866971 | − | 0.0315552i | ||||
\(967\) | 16.5134 | + | 13.8564i | 0.531036 | + | 0.445592i | 0.868459 | − | 0.495761i | \(-0.165111\pi\) |
−0.337423 | + | 0.941353i | \(0.609555\pi\) | |||||||
\(968\) | 0.857097 | 0.0275481 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −0.694593 | −0.0223020 | ||||||||
\(971\) | −37.2729 | − | 31.2757i | −1.19614 | − | 1.00368i | −0.999732 | − | 0.0231632i | \(-0.992626\pi\) |
−0.196413 | − | 0.980521i | \(-0.562929\pi\) | |||||||
\(972\) | 6.25150 | − | 2.27536i | 0.200517 | − | 0.0729822i | ||||
\(973\) | −3.86659 | − | 21.9285i | −0.123957 | − | 0.702996i | ||||
\(974\) | 7.14971 | − | 40.5480i | 0.229092 | − | 1.29924i | ||||
\(975\) | −8.29086 | − | 3.01763i | −0.265520 | − | 0.0966414i | ||||
\(976\) | −1.46791 | − | 2.54250i | −0.0469867 | − | 0.0813833i | ||||
\(977\) | −25.2741 | + | 43.7760i | −0.808590 | + | 1.40052i | 0.105251 | + | 0.994446i | \(0.466435\pi\) |
−0.913841 | + | 0.406073i | \(0.866898\pi\) | |||||||
\(978\) | 20.0103 | − | 16.7906i | 0.639858 | − | 0.536904i | ||||
\(979\) | −18.8812 | + | 15.8432i | −0.603446 | + | 0.506351i | ||||
\(980\) | −0.260830 | + | 0.451771i | −0.00833190 | + | 0.0144313i | ||||
\(981\) | −2.83750 | − | 4.91469i | −0.0905943 | − | 0.156914i | ||||
\(982\) | −21.2160 | − | 7.72199i | −0.677030 | − | 0.246419i | ||||
\(983\) | 5.21987 | − | 29.6034i | 0.166488 | − | 0.944201i | −0.781029 | − | 0.624495i | \(-0.785305\pi\) |
0.947517 | − | 0.319706i | \(-0.103584\pi\) | |||||||
\(984\) | 0.0923963 | + | 0.524005i | 0.00294549 | + | 0.0167047i | ||||
\(985\) | 43.0797 | − | 15.6797i | 1.37263 | − | 0.499597i | ||||
\(986\) | 14.0942 | + | 11.8264i | 0.448851 | + | 0.376631i | ||||
\(987\) | −32.5609 | −1.03642 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4.21213 | −0.133938 | ||||||||
\(990\) | 3.18479 | + | 2.67236i | 0.101219 | + | 0.0849331i | ||||
\(991\) | 2.58677 | − | 0.941508i | 0.0821715 | − | 0.0299080i | −0.300607 | − | 0.953748i | \(-0.597189\pi\) |
0.382779 | + | 0.923840i | \(0.374967\pi\) | |||||||
\(992\) | 0.426022 | + | 2.41609i | 0.0135262 | + | 0.0767110i | ||||
\(993\) | 5.43313 | − | 30.8128i | 0.172415 | − | 0.977816i | ||||
\(994\) | 21.4047 | + | 7.79066i | 0.678915 | + | 0.247105i | ||||
\(995\) | −10.0838 | − | 17.4656i | −0.319677 | − | 0.553697i | ||||
\(996\) | 6.49273 | − | 11.2457i | 0.205730 | − | 0.356335i | ||||
\(997\) | 6.66819 | − | 5.59527i | 0.211184 | − | 0.177204i | −0.531060 | − | 0.847334i | \(-0.678206\pi\) |
0.742244 | + | 0.670130i | \(0.233762\pi\) | |||||||
\(998\) | 22.4670 | − | 18.8521i | 0.711182 | − | 0.596752i | ||||
\(999\) | −12.2267 | + | 21.1772i | −0.386835 | + | 0.670018i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))