Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,2,Mod(59,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.p (of order \(6\), degree \(2\), 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: | \(0.838429221223\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 89.2 | ||
Character | \(\chi\) | \(=\) | 105.89 |
Dual form | 105.2.p.a.59.2 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25399 | + | 2.17197i | −0.886704 | + | 1.53582i | −0.0429549 | + | 0.999077i | \(0.513677\pi\) |
−0.843749 | + | 0.536739i | \(0.819656\pi\) | |||||||
\(3\) | 1.51966 | + | 0.831052i | 0.877374 | + | 0.479808i | ||||
\(4\) | −2.14497 | − | 3.71520i | −1.07249 | − | 1.85760i | ||||
\(5\) | −1.93210 | + | 1.12560i | −0.864063 | + | 0.503383i | ||||
\(6\) | −3.71065 | + | 2.25852i | −1.51487 | + | 0.922036i | ||||
\(7\) | −1.65993 | + | 2.06025i | −0.627395 | + | 0.778701i | ||||
\(8\) | 5.74313 | 2.03050 | ||||||||
\(9\) | 1.61871 | + | 2.52582i | 0.539569 | + | 0.841942i | ||||
\(10\) | −0.0219329 | − | 5.60796i | −0.00693581 | − | 1.77339i | ||||
\(11\) | 1.48843 | − | 0.859346i | 0.448779 | − | 0.259103i | −0.258535 | − | 0.966002i | \(-0.583240\pi\) |
0.707314 | + | 0.706899i | \(0.249907\pi\) | |||||||
\(12\) | −0.172094 | − | 7.42841i | −0.0496794 | − | 2.14440i | ||||
\(13\) | 0.360784 | 0.100063 | 0.0500317 | − | 0.998748i | \(-0.484068\pi\) | ||||
0.0500317 | + | 0.998748i | \(0.484068\pi\) | |||||||
\(14\) | −2.39327 | − | 6.18885i | −0.639628 | − | 1.65404i | ||||
\(15\) | −3.87156 | + | 0.104844i | −0.999634 | + | 0.0270706i | ||||
\(16\) | −2.91187 | + | 5.04351i | −0.727967 | + | 1.26088i | ||||
\(17\) | 2.20219 | − | 1.27144i | 0.534110 | − | 0.308369i | −0.208578 | − | 0.978006i | \(-0.566884\pi\) |
0.742689 | + | 0.669637i | \(0.233550\pi\) | |||||||
\(18\) | −7.51586 | + | 0.348428i | −1.77150 | + | 0.0821252i | ||||
\(19\) | 4.93492 | + | 2.84918i | 1.13215 | + | 0.653646i | 0.944474 | − | 0.328586i | \(-0.106572\pi\) |
0.187674 | + | 0.982231i | \(0.439905\pi\) | |||||||
\(20\) | 8.32614 | + | 4.76378i | 1.86178 | + | 1.06521i | ||||
\(21\) | −4.23470 | + | 1.75138i | −0.924087 | + | 0.382182i | ||||
\(22\) | 4.31044i | 0.918989i | ||||||||
\(23\) | 1.25399 | − | 2.17197i | 0.261475 | − | 0.452887i | −0.705159 | − | 0.709049i | \(-0.749125\pi\) |
0.966634 | + | 0.256162i | \(0.0824579\pi\) | |||||||
\(24\) | 8.72758 | + | 4.77284i | 1.78151 | + | 0.974251i | ||||
\(25\) | 2.46605 | − | 4.34955i | 0.493211 | − | 0.869910i | ||||
\(26\) | −0.452418 | + | 0.783611i | −0.0887265 | + | 0.153679i | ||||
\(27\) | 0.360784 | + | 5.18361i | 0.0694328 | + | 0.997587i | ||||
\(28\) | 11.2147 | + | 1.74780i | 2.11939 | + | 0.330303i | ||||
\(29\) | 3.76228i | 0.698638i | 0.937004 | + | 0.349319i | \(0.113587\pi\) | ||||
−0.937004 | + | 0.349319i | \(0.886413\pi\) | |||||||
\(30\) | 4.62718 | − | 8.54040i | 0.844803 | − | 1.55926i | ||||
\(31\) | −2.41187 | + | 1.39249i | −0.433185 | + | 0.250099i | −0.700702 | − | 0.713454i | \(-0.747130\pi\) |
0.267518 | + | 0.963553i | \(0.413797\pi\) | |||||||
\(32\) | −1.55977 | − | 2.70160i | −0.275731 | − | 0.477580i | ||||
\(33\) | 2.97606 | − | 0.0689466i | 0.518066 | − | 0.0120021i | ||||
\(34\) | 6.37747i | 1.09373i | ||||||||
\(35\) | 0.888146 | − | 5.84903i | 0.150124 | − | 0.988667i | ||||
\(36\) | 5.91187 | − | 11.4316i | 0.985312 | − | 1.90527i | ||||
\(37\) | −2.86279 | − | 1.65283i | −0.470639 | − | 0.271724i | 0.245868 | − | 0.969303i | \(-0.420927\pi\) |
−0.716507 | + | 0.697580i | \(0.754260\pi\) | |||||||
\(38\) | −12.3767 | + | 7.14567i | −2.00776 | + | 1.15918i | ||||
\(39\) | 0.548267 | + | 0.299830i | 0.0877929 | + | 0.0480112i | ||||
\(40\) | −11.0963 | + | 6.46446i | −1.75448 | + | 1.02212i | ||||
\(41\) | −2.63477 | −0.411481 | −0.205741 | − | 0.978607i | \(-0.565960\pi\) | ||||
−0.205741 | + | 0.978607i | \(0.565960\pi\) | |||||||
\(42\) | 1.50631 | − | 11.3939i | 0.232429 | − | 1.75811i | ||||
\(43\) | − | 10.0606i | − | 1.53423i | −0.641510 | − | 0.767114i | \(-0.721692\pi\) | ||
0.641510 | − | 0.767114i | \(-0.278308\pi\) | |||||||
\(44\) | −6.38529 | − | 3.68655i | −0.962618 | − | 0.555768i | ||||
\(45\) | −5.97057 | − | 3.05814i | −0.890041 | − | 0.455881i | ||||
\(46\) | 3.14497 | + | 5.44725i | 0.463701 | + | 0.803154i | ||||
\(47\) | 5.04290 | + | 2.91152i | 0.735583 | + | 0.424689i | 0.820461 | − | 0.571702i | \(-0.193717\pi\) |
−0.0848783 | + | 0.996391i | \(0.527050\pi\) | |||||||
\(48\) | −8.61645 | + | 5.24448i | −1.24368 | + | 0.756975i | ||||
\(49\) | −1.48925 | − | 6.83975i | −0.212751 | − | 0.977107i | ||||
\(50\) | 6.35469 | + | 10.8105i | 0.898689 | + | 1.52883i | ||||
\(51\) | 4.40320 | − | 0.102009i | 0.616572 | − | 0.0142842i | ||||
\(52\) | −0.773871 | − | 1.34038i | −0.107317 | − | 0.185878i | ||||
\(53\) | −0.727175 | − | 1.25950i | −0.0998852 | − | 0.173006i | 0.811752 | − | 0.584003i | \(-0.198514\pi\) |
−0.911637 | + | 0.410996i | \(0.865181\pi\) | |||||||
\(54\) | −11.7111 | − | 5.71658i | −1.59368 | − | 0.777928i | ||||
\(55\) | −1.90853 | + | 3.33572i | −0.257345 | + | 0.449789i | ||||
\(56\) | −9.53320 | + | 11.8323i | −1.27393 | + | 1.58115i | ||||
\(57\) | 5.13156 | + | 8.43094i | 0.679692 | + | 1.11671i | ||||
\(58\) | −8.17157 | − | 4.71786i | −1.07298 | − | 0.619485i | ||||
\(59\) | −3.42928 | − | 5.93969i | −0.446454 | − | 0.773282i | 0.551698 | − | 0.834044i | \(-0.313980\pi\) |
−0.998152 | + | 0.0607624i | \(0.980647\pi\) | |||||||
\(60\) | 8.69392 | + | 14.1588i | 1.12238 | + | 1.82789i | ||||
\(61\) | 1.38882 | + | 0.801836i | 0.177820 | + | 0.102665i | 0.586268 | − | 0.810117i | \(-0.300596\pi\) |
−0.408448 | + | 0.912782i | \(0.633930\pi\) | |||||||
\(62\) | − | 6.98468i | − | 0.887055i | ||||||
\(63\) | −7.89077 | − | 0.857759i | −0.994144 | − | 0.108067i | ||||
\(64\) | −3.82374 | −0.477967 | ||||||||
\(65\) | −0.697071 | + | 0.406098i | −0.0864611 | + | 0.0503702i | ||||
\(66\) | −3.58220 | + | 6.55038i | −0.440938 | + | 0.806296i | ||||
\(67\) | 2.15712 | − | 1.24541i | 0.263534 | − | 0.152151i | −0.362412 | − | 0.932018i | \(-0.618047\pi\) |
0.625946 | + | 0.779867i | \(0.284713\pi\) | |||||||
\(68\) | −9.44729 | − | 5.45439i | −1.14565 | − | 0.661442i | ||||
\(69\) | 3.71065 | − | 2.25852i | 0.446710 | − | 0.271894i | ||||
\(70\) | 11.5902 | + | 9.26365i | 1.38529 | + | 1.10722i | ||||
\(71\) | − | 13.1790i | − | 1.56406i | −0.623243 | − | 0.782028i | \(-0.714185\pi\) | ||
0.623243 | − | 0.782028i | \(-0.285815\pi\) | |||||||
\(72\) | 9.29643 | + | 14.5061i | 1.09560 | + | 1.70956i | ||||
\(73\) | 5.82187 | + | 10.0838i | 0.681398 | + | 1.18022i | 0.974554 | + | 0.224151i | \(0.0719610\pi\) |
−0.293156 | + | 0.956065i | \(0.594706\pi\) | |||||||
\(74\) | 7.17980 | − | 4.14526i | 0.834635 | − | 0.481877i | ||||
\(75\) | 7.36225 | − | 4.56040i | 0.850120 | − | 0.526589i | ||||
\(76\) | − | 24.4456i | − | 2.80410i | ||||||
\(77\) | −0.700227 | + | 4.49300i | −0.0797982 | + | 0.512024i | ||||
\(78\) | −1.33874 | + | 0.814836i | −0.151583 | + | 0.0922621i | ||||
\(79\) | 6.93492 | − | 12.0116i | 0.780239 | − | 1.35141i | −0.151563 | − | 0.988448i | \(-0.548431\pi\) |
0.931802 | − | 0.362966i | \(-0.118236\pi\) | |||||||
\(80\) | −0.0509302 | − | 13.0222i | −0.00569417 | − | 1.45592i | ||||
\(81\) | −3.75958 | + | 8.17713i | −0.417732 | + | 0.908571i | ||||
\(82\) | 3.30396 | − | 5.72264i | 0.364862 | − | 0.631959i | ||||
\(83\) | − | 3.50427i | − | 0.384644i | −0.981332 | − | 0.192322i | \(-0.938398\pi\) | ||
0.981332 | − | 0.192322i | \(-0.0616018\pi\) | |||||||
\(84\) | 15.5900 | + | 11.9761i | 1.70101 | + | 1.30670i | ||||
\(85\) | −2.82374 | + | 4.93534i | −0.306277 | + | 0.535312i | ||||
\(86\) | 21.8514 | + | 12.6159i | 2.35629 | + | 1.36041i | ||||
\(87\) | −3.12665 | + | 5.71737i | −0.335212 | + | 0.612967i | ||||
\(88\) | 8.54825 | − | 4.93534i | 0.911247 | − | 0.526108i | ||||
\(89\) | −6.10392 | + | 10.5723i | −0.647014 | + | 1.12066i | 0.336818 | + | 0.941570i | \(0.390649\pi\) |
−0.983832 | + | 0.179092i | \(0.942684\pi\) | |||||||
\(90\) | 14.1292 | − | 9.13304i | 1.48935 | − | 0.962707i | ||||
\(91\) | −0.598876 | + | 0.743304i | −0.0627793 | + | 0.0779194i | ||||
\(92\) | −10.7591 | −1.12171 | ||||||||
\(93\) | −4.82244 | + | 0.111722i | −0.500064 | + | 0.0115850i | ||||
\(94\) | −12.6475 | + | 7.30202i | −1.30449 | + | 0.753146i | ||||
\(95\) | −12.7418 | + | 0.0498337i | −1.30728 | + | 0.00511283i | ||||
\(96\) | −0.125143 | − | 5.40176i | −0.0127723 | − | 0.551314i | ||||
\(97\) | −8.18747 | −0.831311 | −0.415656 | − | 0.909522i | \(-0.636448\pi\) | ||||
−0.415656 | + | 0.909522i | \(0.636448\pi\) | |||||||
\(98\) | 16.7232 | + | 5.34234i | 1.68930 | + | 0.539658i | ||||
\(99\) | 4.57989 | + | 2.36849i | 0.460296 | + | 0.238042i | ||||
\(100\) | −21.4491 | + | 0.167779i | −2.14491 | + | 0.0167779i | ||||
\(101\) | −0.623467 | − | 1.07988i | −0.0620372 | − | 0.107452i | 0.833339 | − | 0.552763i | \(-0.186426\pi\) |
−0.895376 | + | 0.445311i | \(0.853093\pi\) | |||||||
\(102\) | −5.30001 | + | 9.69155i | −0.524779 | + | 0.959607i | ||||
\(103\) | −2.07302 | + | 3.59057i | −0.204261 | + | 0.353790i | −0.949897 | − | 0.312563i | \(-0.898812\pi\) |
0.745636 | + | 0.666353i | \(0.232146\pi\) | |||||||
\(104\) | 2.07203 | 0.203179 | ||||||||
\(105\) | 6.21053 | − | 8.15042i | 0.606085 | − | 0.795400i | ||||
\(106\) | 3.64748 | 0.354274 | ||||||||
\(107\) | −0.553762 | + | 0.959143i | −0.0535342 | + | 0.0927239i | −0.891551 | − | 0.452921i | \(-0.850382\pi\) |
0.838016 | + | 0.545645i | \(0.183715\pi\) | |||||||
\(108\) | 18.4843 | − | 12.4591i | 1.77865 | − | 1.19888i | ||||
\(109\) | 4.55684 | + | 7.89268i | 0.436466 | + | 0.755982i | 0.997414 | − | 0.0718694i | \(-0.0228965\pi\) |
−0.560948 | + | 0.827851i | \(0.689563\pi\) | |||||||
\(110\) | −4.85183 | − | 8.32822i | −0.462604 | − | 0.794064i | ||||
\(111\) | −2.97686 | − | 4.89086i | −0.282551 | − | 0.464220i | ||||
\(112\) | −5.55738 | − | 14.3711i | −0.525123 | − | 1.35794i | ||||
\(113\) | −3.79282 | −0.356799 | −0.178399 | − | 0.983958i | \(-0.557092\pi\) | ||||
−0.178399 | + | 0.983958i | \(0.557092\pi\) | |||||||
\(114\) | −24.7467 | + | 0.573307i | −2.31774 | + | 0.0536952i | ||||
\(115\) | 0.0219329 | + | 5.60796i | 0.00204526 | + | 0.522945i | ||||
\(116\) | 13.9776 | − | 8.06999i | 1.29779 | − | 0.749280i | ||||
\(117\) | 0.584002 | + | 0.911276i | 0.0539910 | + | 0.0842475i | ||||
\(118\) | 17.2011 | 1.58349 | ||||||||
\(119\) | −1.03601 | + | 6.64757i | −0.0949712 | + | 0.609381i | ||||
\(120\) | −22.2349 | + | 0.602133i | −2.02976 | + | 0.0549670i | ||||
\(121\) | −4.02305 | + | 6.96812i | −0.365732 | + | 0.633466i | ||||
\(122\) | −3.48313 | + | 2.01099i | −0.315348 | + | 0.182066i | ||||
\(123\) | −4.00394 | − | 2.18963i | −0.361023 | − | 0.197432i | ||||
\(124\) | 10.3468 | + | 5.97372i | 0.929169 | + | 0.536456i | ||||
\(125\) | 0.131176 | + | 11.1796i | 0.0117328 | + | 0.999931i | ||||
\(126\) | 11.7580 | − | 16.0629i | 1.04748 | − | 1.43100i | ||||
\(127\) | − | 5.98643i | − | 0.531210i | −0.964082 | − | 0.265605i | \(-0.914428\pi\) | ||
0.964082 | − | 0.265605i | \(-0.0855716\pi\) | |||||||
\(128\) | 7.91447 | − | 13.7083i | 0.699547 | − | 1.21165i | ||||
\(129\) | 8.36089 | − | 15.2887i | 0.736135 | − | 1.34609i | ||||
\(130\) | −0.00791304 | − | 2.02326i | −0.000694020 | − | 0.177452i | ||||
\(131\) | 7.29012 | − | 12.6269i | 0.636941 | − | 1.10321i | −0.349159 | − | 0.937063i | \(-0.613533\pi\) |
0.986100 | − | 0.166151i | \(-0.0531339\pi\) | |||||||
\(132\) | −6.63973 | − | 10.9088i | −0.577914 | − | 0.949488i | ||||
\(133\) | −14.0616 | + | 5.43772i | −1.21930 | + | 0.471510i | ||||
\(134\) | 6.24693i | 0.539653i | ||||||||
\(135\) | −6.53174 | − | 9.60918i | −0.562163 | − | 0.827027i | ||||
\(136\) | 12.6475 | − | 7.30202i | 1.08451 | − | 0.626143i | ||||
\(137\) | −7.85666 | − | 13.6081i | −0.671240 | − | 1.16262i | −0.977553 | − | 0.210691i | \(-0.932429\pi\) |
0.306313 | − | 0.951931i | \(-0.400905\pi\) | |||||||
\(138\) | 0.252326 | + | 10.8916i | 0.0214794 | + | 0.927153i | ||||
\(139\) | 14.7324i | 1.24959i | 0.780790 | + | 0.624794i | \(0.214817\pi\) | ||||
−0.780790 | + | 0.624794i | \(0.785183\pi\) | |||||||
\(140\) | −23.6354 | + | 9.24638i | −1.99755 | + | 0.781461i | ||||
\(141\) | 5.24385 | + | 8.61542i | 0.441612 | + | 0.725549i | ||||
\(142\) | 28.6243 | + | 16.5263i | 2.40210 | + | 1.38685i | ||||
\(143\) | 0.537001 | − | 0.310038i | 0.0449063 | − | 0.0259267i | ||||
\(144\) | −17.4525 | + | 0.809079i | −1.45437 | + | 0.0674232i | ||||
\(145\) | −4.23482 | − | 7.26912i | −0.351683 | − | 0.603668i | ||||
\(146\) | −29.2022 | −2.41679 | ||||||||
\(147\) | 3.42103 | − | 11.6317i | 0.282162 | − | 0.959367i | ||||
\(148\) | 14.1811i | 1.16568i | ||||||||
\(149\) | 11.0008 | + | 6.35130i | 0.901219 | + | 0.520319i | 0.877595 | − | 0.479402i | \(-0.159146\pi\) |
0.0236233 | + | 0.999721i | \(0.492480\pi\) | |||||||
\(150\) | 0.672876 | + | 21.7093i | 0.0549401 | + | 1.77256i | ||||
\(151\) | −8.34679 | − | 14.4571i | −0.679252 | − | 1.17650i | −0.975207 | − | 0.221297i | \(-0.928971\pi\) |
0.295955 | − | 0.955202i | \(-0.404362\pi\) | |||||||
\(152\) | 28.3419 | + | 16.3632i | 2.29883 | + | 1.32723i | ||||
\(153\) | 6.77613 | + | 3.50427i | 0.547818 | + | 0.283304i | ||||
\(154\) | −8.88058 | − | 7.15503i | −0.715618 | − | 0.576569i | ||||
\(155\) | 3.09259 | − | 5.40524i | 0.248403 | − | 0.434159i | ||||
\(156\) | −0.0620888 | − | 2.68005i | −0.00497108 | − | 0.214576i | ||||
\(157\) | −0.721567 | − | 1.24979i | −0.0575873 | − | 0.0997442i | 0.835795 | − | 0.549042i | \(-0.185007\pi\) |
−0.893382 | + | 0.449298i | \(0.851674\pi\) | |||||||
\(158\) | 17.3926 | + | 30.1249i | 1.38368 | + | 2.39661i | ||||
\(159\) | −0.0583424 | − | 2.51833i | −0.00462685 | − | 0.199717i | ||||
\(160\) | 6.05456 | + | 3.46410i | 0.478655 | + | 0.273861i | ||||
\(161\) | 2.39327 | + | 6.18885i | 0.188616 | + | 0.487750i | ||||
\(162\) | −13.0460 | − | 18.4197i | −1.02499 | − | 1.44719i | ||||
\(163\) | 14.6028 | + | 8.43094i | 1.14378 | + | 0.660362i | 0.947364 | − | 0.320158i | \(-0.103736\pi\) |
0.196417 | + | 0.980521i | \(0.437069\pi\) | |||||||
\(164\) | 5.65150 | + | 9.78869i | 0.441308 | + | 0.764368i | ||||
\(165\) | −5.67246 | + | 3.48307i | −0.441600 | + | 0.271156i | ||||
\(166\) | 7.61118 | + | 4.39432i | 0.590742 | + | 0.341065i | ||||
\(167\) | 7.20879i | 0.557833i | 0.960315 | + | 0.278916i | \(0.0899752\pi\) | ||||
−0.960315 | + | 0.278916i | \(0.910025\pi\) | |||||||
\(168\) | −24.3204 | + | 10.0584i | −1.87636 | + | 0.776022i | ||||
\(169\) | −12.8698 | −0.989987 | ||||||||
\(170\) | −7.17847 | − | 12.3219i | −0.550564 | − | 0.945049i | ||||
\(171\) | 0.791659 | + | 17.0767i | 0.0605397 | + | 1.30589i | ||||
\(172\) | −37.3772 | + | 21.5797i | −2.84998 | + | 1.64544i | ||||
\(173\) | 7.78210 | + | 4.49300i | 0.591662 | + | 0.341596i | 0.765754 | − | 0.643133i | \(-0.222366\pi\) |
−0.174093 | + | 0.984729i | \(0.555699\pi\) | |||||||
\(174\) | −8.49719 | − | 13.9605i | −0.644170 | − | 1.05834i | ||||
\(175\) | 4.86768 | + | 12.3006i | 0.367962 | + | 0.929841i | ||||
\(176\) | 10.0092i | 0.754473i | ||||||||
\(177\) | −0.275136 | − | 11.8762i | −0.0206805 | − | 0.892669i | ||||
\(178\) | −15.3085 | − | 26.5151i | −1.14742 | − | 1.98739i | ||||
\(179\) | 9.49333 | − | 5.48098i | 0.709565 | − | 0.409667i | −0.101335 | − | 0.994852i | \(-0.532311\pi\) |
0.810900 | + | 0.585185i | \(0.198978\pi\) | |||||||
\(180\) | 1.44510 | + | 28.7415i | 0.107711 | + | 2.14227i | ||||
\(181\) | 5.39306i | 0.400863i | 0.979708 | + | 0.200431i | \(0.0642344\pi\) | ||||
−0.979708 | + | 0.200431i | \(0.935766\pi\) | |||||||
\(182\) | −0.863452 | − | 2.23284i | −0.0640033 | − | 0.165509i | ||||
\(183\) | 1.44416 | + | 2.37270i | 0.106756 | + | 0.175395i | ||||
\(184\) | 7.20181 | − | 12.4739i | 0.530925 | − | 0.919589i | ||||
\(185\) | 7.39163 | − | 0.0289089i | 0.543443 | − | 0.00212543i | ||||
\(186\) | 5.80463 | − | 10.6143i | 0.425616 | − | 0.778279i | ||||
\(187\) | 2.18521 | − | 3.78489i | 0.159798 | − | 0.276779i | ||||
\(188\) | − | 24.9805i | − | 1.82189i | ||||||
\(189\) | −11.2784 | − | 7.86114i | −0.820384 | − | 0.571814i | ||||
\(190\) | 15.8698 | − | 27.7373i | 1.15132 | − | 2.01228i | ||||
\(191\) | −18.4619 | − | 10.6590i | −1.33586 | − | 0.771259i | −0.349669 | − | 0.936873i | \(-0.613706\pi\) |
−0.986191 | + | 0.165614i | \(0.947039\pi\) | |||||||
\(192\) | −5.81077 | − | 3.17773i | −0.419356 | − | 0.229333i | ||||
\(193\) | 12.0690 | − | 6.96805i | 0.868747 | − | 0.501571i | 0.00181508 | − | 0.999998i | \(-0.499422\pi\) |
0.866932 | + | 0.498427i | \(0.166089\pi\) | |||||||
\(194\) | 10.2670 | − | 17.7829i | 0.737127 | − | 1.27674i | ||||
\(195\) | −1.39680 | + | 0.0378260i | −0.100027 | + | 0.00270878i | ||||
\(196\) | −22.2166 | + | 20.2039i | −1.58690 | + | 1.44314i | ||||
\(197\) | 2.01202 | 0.143350 | 0.0716752 | − | 0.997428i | \(-0.477165\pi\) | ||||
0.0716752 | + | 0.997428i | \(0.477165\pi\) | |||||||
\(198\) | −10.8874 | + | 6.97733i | −0.773735 | + | 0.495857i | ||||
\(199\) | 6.90207 | − | 3.98491i | 0.489275 | − | 0.282483i | −0.234999 | − | 0.971996i | \(-0.575509\pi\) |
0.724274 | + | 0.689513i | \(0.242175\pi\) | |||||||
\(200\) | 14.1629 | − | 24.9800i | 1.00147 | − | 1.76635i | ||||
\(201\) | 4.31308 | − | 0.0999214i | 0.304221 | − | 0.00704791i | ||||
\(202\) | 3.12728 | 0.220035 | ||||||||
\(203\) | −7.75124 | − | 6.24513i | −0.544030 | − | 0.438322i | ||||
\(204\) | −9.82374 | − | 16.1400i | −0.687799 | − | 1.13003i | ||||
\(205\) | 5.09064 | − | 2.96569i | 0.355546 | − | 0.207133i | ||||
\(206\) | −5.19908 | − | 9.00507i | −0.362237 | − | 0.627413i | ||||
\(207\) | 7.51586 | − | 0.348428i | 0.522388 | − | 0.0242174i | ||||
\(208\) | −1.05055 | + | 1.81961i | −0.0728428 | + | 0.126168i | ||||
\(209\) | 9.79371 | 0.677445 | ||||||||
\(210\) | 9.91455 | + | 23.7096i | 0.684169 | + | 1.63612i | ||||
\(211\) | −4.95390 | −0.341041 | −0.170520 | − | 0.985354i | \(-0.554545\pi\) | ||||
−0.170520 | + | 0.985354i | \(0.554545\pi\) | |||||||
\(212\) | −3.11954 | + | 5.40321i | −0.214251 | + | 0.371094i | ||||
\(213\) | 10.9524 | − | 20.0275i | 0.750447 | − | 1.37226i | ||||
\(214\) | −1.38882 | − | 2.40551i | −0.0949379 | − | 0.164437i | ||||
\(215\) | 11.3242 | + | 19.4381i | 0.772305 | + | 1.32567i | ||||
\(216\) | 2.07203 | + | 29.7701i | 0.140984 | + | 2.02560i | ||||
\(217\) | 1.13465 | − | 7.28050i | 0.0770254 | − | 0.494232i | ||||
\(218\) | −22.8569 | −1.54806 | ||||||||
\(219\) | 0.467097 | + | 20.1621i | 0.0315635 | + | 1.36243i | ||||
\(220\) | 16.4866 | − | 0.0644798i | 1.11153 | − | 0.00434722i | ||||
\(221\) | 0.794515 | − | 0.458713i | 0.0534449 | − | 0.0308564i | ||||
\(222\) | 14.3558 | − | 0.332581i | 0.963495 | − | 0.0223213i | ||||
\(223\) | −15.6534 | −1.04823 | −0.524114 | − | 0.851648i | \(-0.675603\pi\) | ||||
−0.524114 | + | 0.851648i | \(0.675603\pi\) | |||||||
\(224\) | 8.15509 | + | 1.27096i | 0.544885 | + | 0.0849195i | ||||
\(225\) | 14.9780 | − | 0.811821i | 0.998534 | − | 0.0541214i | ||||
\(226\) | 4.75615 | − | 8.23790i | 0.316374 | − | 0.547977i | ||||
\(227\) | 10.9223 | − | 6.30600i | 0.724939 | − | 0.418544i | −0.0916289 | − | 0.995793i | \(-0.529207\pi\) |
0.816568 | + | 0.577250i | \(0.195874\pi\) | |||||||
\(228\) | 20.3156 | − | 37.1489i | 1.34543 | − | 2.46025i | ||||
\(229\) | −5.18951 | − | 2.99617i | −0.342933 | − | 0.197992i | 0.318636 | − | 0.947877i | \(-0.396775\pi\) |
−0.661568 | + | 0.749885i | \(0.730109\pi\) | |||||||
\(230\) | −12.2078 | − | 6.98468i | −0.804961 | − | 0.460556i | ||||
\(231\) | −4.79802 | + | 6.24588i | −0.315686 | + | 0.410949i | ||||
\(232\) | 21.6073i | 1.41859i | ||||||||
\(233\) | −10.9016 | + | 18.8822i | −0.714190 | + | 1.23701i | 0.249081 | + | 0.968483i | \(0.419871\pi\) |
−0.963271 | + | 0.268531i | \(0.913462\pi\) | |||||||
\(234\) | −2.71160 | + | 0.125707i | −0.177263 | + | 0.00821772i | ||||
\(235\) | −13.0206 | + | 0.0509241i | −0.849371 | + | 0.00332192i | ||||
\(236\) | −14.7114 | + | 25.4809i | −0.957632 | + | 1.65867i | ||||
\(237\) | 20.5210 | − | 12.4903i | 1.33298 | − | 0.811330i | ||||
\(238\) | −13.1392 | − | 10.5862i | −0.851686 | − | 0.686199i | ||||
\(239\) | 24.9069i | 1.61109i | 0.592533 | + | 0.805546i | \(0.298128\pi\) | ||||
−0.592533 | + | 0.805546i | \(0.701872\pi\) | |||||||
\(240\) | 10.7447 | − | 19.8315i | 0.693568 | − | 1.28012i | ||||
\(241\) | 14.7454 | − | 8.51326i | 0.949835 | − | 0.548388i | 0.0568054 | − | 0.998385i | \(-0.481909\pi\) |
0.893030 | + | 0.449998i | \(0.148575\pi\) | |||||||
\(242\) | −10.0897 | − | 17.4759i | −0.648591 | − | 1.12339i | ||||
\(243\) | −12.5089 | + | 9.30202i | −0.802446 | + | 0.596725i | ||||
\(244\) | − | 6.87967i | − | 0.440426i | ||||||
\(245\) | 10.5762 | + | 11.5388i | 0.675689 | + | 0.737187i | ||||
\(246\) | 9.77670 | − | 5.95067i | 0.623339 | − | 0.379401i | ||||
\(247\) | 1.78044 | + | 1.02794i | 0.113286 | + | 0.0654060i | ||||
\(248\) | −13.8517 | + | 7.99727i | −0.879582 | + | 0.507827i | ||||
\(249\) | 2.91223 | − | 5.32529i | 0.184555 | − | 0.337476i | ||||
\(250\) | −24.4462 | − | 13.7341i | −1.54611 | − | 0.868623i | ||||
\(251\) | 27.3925 | 1.72900 | 0.864501 | − | 0.502631i | \(-0.167635\pi\) | ||||
0.864501 | + | 0.502631i | \(0.167635\pi\) | |||||||
\(252\) | 13.7387 | + | 31.1557i | 0.865459 | + | 1.96262i | ||||
\(253\) | − | 4.31044i | − | 0.270995i | ||||||
\(254\) | 13.0024 | + | 7.50691i | 0.815840 | + | 0.471026i | ||||
\(255\) | −8.39263 | + | 5.15334i | −0.525567 | + | 0.322714i | ||||
\(256\) | 16.0256 | + | 27.7571i | 1.00160 | + | 1.73482i | ||||
\(257\) | −26.3170 | − | 15.1941i | −1.64161 | − | 0.947783i | −0.980262 | − | 0.197703i | \(-0.936652\pi\) |
−0.661347 | − | 0.750080i | \(-0.730015\pi\) | |||||||
\(258\) | 22.7221 | + | 37.3314i | 1.41461 | + | 2.32415i | ||||
\(259\) | 8.15728 | − | 3.15447i | 0.506868 | − | 0.196009i | ||||
\(260\) | 3.00393 | + | 1.71869i | 0.186296 | + | 0.106589i | ||||
\(261\) | −9.50287 | + | 6.09003i | −0.588213 | + | 0.376963i | ||||
\(262\) | 18.2835 | + | 31.6679i | 1.12956 | + | 1.95645i | ||||
\(263\) | 9.66832 | + | 16.7460i | 0.596174 | + | 1.03260i | 0.993380 | + | 0.114874i | \(0.0366465\pi\) |
−0.397206 | + | 0.917729i | \(0.630020\pi\) | |||||||
\(264\) | 17.0919 | − | 0.395969i | 1.05193 | − | 0.0243702i | ||||
\(265\) | 2.82268 | + | 1.61499i | 0.173396 | + | 0.0992078i | ||||
\(266\) | 5.82255 | − | 37.3603i | 0.357003 | − | 2.29071i | ||||
\(267\) | −18.0620 | + | 10.9936i | −1.10538 | + | 0.672796i | ||||
\(268\) | −9.25392 | − | 5.34275i | −0.565273 | − | 0.326361i | ||||
\(269\) | −11.0008 | − | 19.0539i | −0.670729 | − | 1.16174i | −0.977698 | − | 0.210017i | \(-0.932648\pi\) |
0.306969 | − | 0.951720i | \(-0.400685\pi\) | |||||||
\(270\) | 29.0616 | − | 2.13695i | 1.76863 | − | 0.130051i | ||||
\(271\) | −13.0404 | − | 7.52886i | −0.792146 | − | 0.457345i | 0.0485718 | − | 0.998820i | \(-0.484533\pi\) |
−0.840717 | + | 0.541474i | \(0.817866\pi\) | |||||||
\(272\) | 14.8090i | 0.897929i | ||||||||
\(273\) | −1.52781 | + | 0.631869i | −0.0924672 | + | 0.0382425i | ||||
\(274\) | 39.4086 | 2.38076 | ||||||||
\(275\) | −0.0672176 | − | 8.59320i | −0.00405338 | − | 0.518189i | ||||
\(276\) | −16.3501 | − | 8.94135i | −0.984160 | − | 0.538206i | ||||
\(277\) | 1.45145 | − | 0.837995i | 0.0872092 | − | 0.0503502i | −0.455761 | − | 0.890102i | \(-0.650633\pi\) |
0.542970 | + | 0.839752i | \(0.317300\pi\) | |||||||
\(278\) | −31.9984 | − | 18.4743i | −1.91914 | − | 1.10801i | ||||
\(279\) | −7.42130 | − | 3.83792i | −0.444302 | − | 0.229770i | ||||
\(280\) | 5.10074 | − | 33.5917i | 0.304827 | − | 2.00749i | ||||
\(281\) | 2.10086i | 0.125327i | 0.998035 | + | 0.0626633i | \(0.0199594\pi\) | ||||
−0.998035 | + | 0.0626633i | \(0.980041\pi\) | |||||||
\(282\) | −25.2882 | + | 0.585852i | −1.50589 | + | 0.0348870i | ||||
\(283\) | −2.50200 | − | 4.33360i | −0.148729 | − | 0.257606i | 0.782029 | − | 0.623242i | \(-0.214185\pi\) |
−0.930758 | + | 0.365636i | \(0.880851\pi\) | |||||||
\(284\) | −48.9625 | + | 28.2685i | −2.90539 | + | 1.67743i | ||||
\(285\) | −19.4046 | − | 10.5134i | −1.14943 | − | 0.622758i | ||||
\(286\) | 1.55514i | 0.0919571i | ||||||||
\(287\) | 4.37353 | − | 5.42827i | 0.258161 | − | 0.320421i | ||||
\(288\) | 4.29897 | − | 8.31281i | 0.253319 | − | 0.489837i | ||||
\(289\) | −5.26690 | + | 9.12253i | −0.309817 | + | 0.536620i | ||||
\(290\) | 21.0987 | − | 0.0825179i | 1.23896 | − | 0.00484562i | ||||
\(291\) | −12.4421 | − | 6.80421i | −0.729371 | − | 0.398870i | ||||
\(292\) | 24.9755 | − | 43.2588i | 1.46158 | − | 2.53153i | ||||
\(293\) | − | 17.2734i | − | 1.00912i | −0.863376 | − | 0.504561i | \(-0.831654\pi\) | ||
0.863376 | − | 0.504561i | \(-0.168346\pi\) | |||||||
\(294\) | 20.9738 | + | 22.0164i | 1.22322 | + | 1.28402i | ||||
\(295\) | 13.3114 | + | 7.61610i | 0.775022 | + | 0.443427i | ||||
\(296\) | −16.4414 | − | 9.49242i | −0.955634 | − | 0.551736i | ||||
\(297\) | 4.99152 | + | 7.40541i | 0.289637 | + | 0.429706i | ||||
\(298\) | −27.5897 | + | 15.9289i | −1.59823 | + | 0.922737i | ||||
\(299\) | 0.452418 | − | 0.783611i | 0.0261640 | − | 0.0453174i | ||||
\(300\) | −32.7346 | − | 17.5703i | −1.88993 | − | 1.01442i | ||||
\(301\) | 20.7274 | + | 16.6999i | 1.19471 | + | 0.962568i | ||||
\(302\) | 41.8671 | 2.40918 | ||||||||
\(303\) | −0.0500217 | − | 2.15917i | −0.00287367 | − | 0.124041i | ||||
\(304\) | −28.7397 | + | 16.5929i | −1.64833 | + | 0.951666i | ||||
\(305\) | −3.58589 | + | 0.0140246i | −0.205328 | + | 0.000803044i | ||||
\(306\) | −16.1084 | + | 10.3232i | −0.920854 | + | 0.590140i | ||||
\(307\) | −10.2324 | −0.583994 | −0.291997 | − | 0.956419i | \(-0.594320\pi\) | ||||
−0.291997 | + | 0.956419i | \(0.594320\pi\) | |||||||
\(308\) | 18.1943 | − | 7.03587i | 1.03672 | − | 0.400906i | ||||
\(309\) | −6.13423 | + | 3.73365i | −0.348964 | + | 0.212400i | ||||
\(310\) | 7.86195 | + | 13.4951i | 0.446529 | + | 0.766472i | ||||
\(311\) | 5.23895 | + | 9.07413i | 0.297074 | + | 0.514547i | 0.975465 | − | 0.220154i | \(-0.0706559\pi\) |
−0.678391 | + | 0.734701i | \(0.737323\pi\) | |||||||
\(312\) | 3.14877 | + | 1.72196i | 0.178264 | + | 0.0974868i | ||||
\(313\) | −0.128088 | + | 0.221855i | −0.00723997 | + | 0.0125400i | −0.869623 | − | 0.493717i | \(-0.835638\pi\) |
0.862383 | + | 0.506257i | \(0.168971\pi\) | |||||||
\(314\) | 3.61935 | 0.204252 | ||||||||
\(315\) | 16.2113 | − | 7.22456i | 0.913402 | − | 0.407058i | ||||
\(316\) | −59.5008 | −3.34718 | ||||||||
\(317\) | −15.4693 | + | 26.7935i | −0.868840 | + | 1.50487i | −0.00565618 | + | 0.999984i | \(0.501800\pi\) |
−0.863183 | + | 0.504890i | \(0.831533\pi\) | |||||||
\(318\) | 5.54291 | + | 3.03124i | 0.310831 | + | 0.169984i | ||||
\(319\) | 3.23310 | + | 5.59990i | 0.181019 | + | 0.313534i | ||||
\(320\) | 7.38786 | − | 4.30400i | 0.412994 | − | 0.240601i | ||||
\(321\) | −1.63862 | + | 0.997363i | −0.0914591 | + | 0.0556674i | ||||
\(322\) | −16.4431 | − | 2.56264i | −0.916340 | − | 0.142810i | ||||
\(323\) | 14.4902 | 0.806256 | ||||||||
\(324\) | 38.4439 | − | 3.57212i | 2.13577 | − | 0.198451i | ||||
\(325\) | 0.889711 | − | 1.56925i | 0.0493523 | − | 0.0870461i | ||||
\(326\) | −36.6235 | + | 21.1446i | −2.02839 | + | 1.17109i | ||||
\(327\) | 0.365602 | + | 15.7811i | 0.0202179 | + | 0.872698i | ||||
\(328\) | −15.1318 | −0.835514 | ||||||||
\(329\) | −14.3693 | + | 5.55671i | −0.792207 | + | 0.306351i | ||||
\(330\) | −0.451924 | − | 16.6881i | −0.0248776 | − | 0.918652i | ||||
\(331\) | 4.18951 | − | 7.25645i | 0.230276 | − | 0.398850i | −0.727613 | − | 0.685988i | \(-0.759370\pi\) |
0.957889 | + | 0.287137i | \(0.0927036\pi\) | |||||||
\(332\) | −13.0191 | + | 7.51657i | −0.714515 | + | 0.412525i | ||||
\(333\) | −0.459248 | − | 9.90635i | −0.0251666 | − | 0.542865i | ||||
\(334\) | −15.6573 | − | 9.03973i | −0.856728 | − | 0.494632i | ||||
\(335\) | −2.76594 | + | 4.83432i | −0.151120 | + | 0.264127i | ||||
\(336\) | 3.49779 | − | 26.4575i | 0.190820 | − | 1.44338i | ||||
\(337\) | − | 11.7454i | − | 0.639810i | −0.947450 | − | 0.319905i | \(-0.896349\pi\) | ||
0.947450 | − | 0.319905i | \(-0.103651\pi\) | |||||||
\(338\) | 16.1386 | − | 27.9529i | 0.877825 | − | 1.52044i | ||||
\(339\) | −5.76378 | − | 3.15203i | −0.313046 | − | 0.171195i | ||||
\(340\) | 24.3926 | − | 0.0954004i | 1.32287 | − | 0.00517381i | ||||
\(341\) | −2.39327 | + | 4.14526i | −0.129603 | + | 0.224478i | ||||
\(342\) | −38.0829 | − | 19.6945i | −2.05929 | − | 1.06496i | ||||
\(343\) | 16.5636 | + | 8.28527i | 0.894353 | + | 0.447363i | ||||
\(344\) | − | 57.7794i | − | 3.11526i | ||||||
\(345\) | −4.62718 | + | 8.54040i | −0.249119 | + | 0.459800i | ||||
\(346\) | −19.5173 | + | 11.2683i | −1.04926 | + | 0.605789i | ||||
\(347\) | −0.221030 | − | 0.382835i | −0.0118655 | − | 0.0205516i | 0.860032 | − | 0.510241i | \(-0.170444\pi\) |
−0.871897 | + | 0.489689i | \(0.837110\pi\) | |||||||
\(348\) | 27.9478 | − | 0.647468i | 1.49816 | − | 0.0347079i | ||||
\(349\) | − | 21.7405i | − | 1.16374i | −0.813282 | − | 0.581870i | \(-0.802321\pi\) | ||
0.813282 | − | 0.581870i | \(-0.197679\pi\) | |||||||
\(350\) | −32.8206 | − | 4.85240i | −1.75434 | − | 0.259372i | ||||
\(351\) | 0.130165 | + | 1.87016i | 0.00694768 | + | 0.0998219i | ||||
\(352\) | −4.64322 | − | 2.68077i | −0.247485 | − | 0.142885i | ||||
\(353\) | −19.7311 | + | 11.3917i | −1.05018 | + | 0.606321i | −0.922700 | − | 0.385520i | \(-0.874022\pi\) |
−0.127480 | + | 0.991841i | \(0.540689\pi\) | |||||||
\(354\) | 26.1398 | + | 14.2950i | 1.38931 | + | 0.759771i | ||||
\(355\) | 14.8342 | + | 25.4631i | 0.787319 | + | 1.35144i | ||||
\(356\) | 52.3709 | 2.77565 | ||||||||
\(357\) | −7.09885 | + | 9.24103i | −0.375711 | + | 0.489087i | ||||
\(358\) | 27.4923i | 1.45301i | ||||||||
\(359\) | −21.6706 | − | 12.5115i | −1.14373 | − | 0.660333i | −0.196378 | − | 0.980528i | \(-0.562918\pi\) |
−0.947351 | + | 0.320195i | \(0.896251\pi\) | |||||||
\(360\) | −34.2898 | − | 17.5633i | −1.80723 | − | 0.925668i | ||||
\(361\) | 6.73561 | + | 11.6664i | 0.354506 | + | 0.614022i | ||||
\(362\) | −11.7136 | − | 6.76283i | −0.615651 | − | 0.355447i | ||||
\(363\) | −11.9045 | + | 7.24579i | −0.624825 | + | 0.380305i | ||||
\(364\) | 4.04610 | + | 0.630578i | 0.212073 | + | 0.0330513i | ||||
\(365\) | −22.5987 | − | 12.9298i | −1.18287 | − | 0.676777i | ||||
\(366\) | −6.96439 | + | 0.161344i | −0.364035 | + | 0.00843361i | ||||
\(367\) | −10.6736 | − | 18.4872i | −0.557156 | − | 0.965023i | −0.997732 | − | 0.0673073i | \(-0.978559\pi\) |
0.440576 | − | 0.897715i | \(-0.354774\pi\) | |||||||
\(368\) | 7.30290 | + | 12.6490i | 0.380690 | + | 0.659374i | ||||
\(369\) | −4.26491 | − | 6.65496i | −0.222022 | − | 0.346443i | ||||
\(370\) | −9.20623 | + | 16.0907i | −0.478609 | + | 0.836513i | ||||
\(371\) | 3.80196 | + | 0.592529i | 0.197388 | + | 0.0307626i | ||||
\(372\) | 10.7591 | + | 17.6767i | 0.557832 | + | 0.916495i | ||||
\(373\) | 12.2411 | + | 7.06740i | 0.633820 | + | 0.365936i | 0.782230 | − | 0.622990i | \(-0.214082\pi\) |
−0.148410 | + | 0.988926i | \(0.547416\pi\) | |||||||
\(374\) | 5.48045 | + | 9.49242i | 0.283387 | + | 0.490841i | ||||
\(375\) | −9.09146 | + | 17.0981i | −0.469481 | + | 0.882943i | ||||
\(376\) | 28.9620 | + | 16.7212i | 1.49360 | + | 0.862332i | ||||
\(377\) | 1.35737i | 0.0699081i | ||||||||
\(378\) | 31.2172 | − | 14.6386i | 1.60564 | − | 0.752929i | ||||
\(379\) | −9.53880 | −0.489975 | −0.244988 | − | 0.969526i | \(-0.578784\pi\) | ||||
−0.244988 | + | 0.969526i | \(0.578784\pi\) | |||||||
\(380\) | 27.5160 | + | 47.2315i | 1.41154 | + | 2.42292i | ||||
\(381\) | 4.97503 | − | 9.09731i | 0.254879 | − | 0.466069i | ||||
\(382\) | 46.3021 | − | 26.7325i | 2.36902 | − | 1.36776i | ||||
\(383\) | 13.6576 | + | 7.88522i | 0.697870 | + | 0.402916i | 0.806554 | − | 0.591161i | \(-0.201330\pi\) |
−0.108683 | + | 0.994076i | \(0.534663\pi\) | |||||||
\(384\) | 23.4195 | − | 14.2545i | 1.19512 | − | 0.727422i | ||||
\(385\) | −3.70440 | − | 9.46911i | −0.188794 | − | 0.482591i | ||||
\(386\) | 34.9514i | 1.77898i | ||||||||
\(387\) | 25.4113 | − | 16.2852i | 1.29173 | − | 0.827822i | ||||
\(388\) | 17.5619 | + | 30.4181i | 0.891570 | + | 1.54424i | ||||
\(389\) | 29.5749 | − | 17.0751i | 1.49951 | − | 0.865740i | 0.499506 | − | 0.866310i | \(-0.333515\pi\) |
1.00000 | 0.000570006i | \(0.000181439\pi\) | ||||||||
\(390\) | 1.66941 | − | 3.08124i | 0.0845338 | − | 0.156024i | ||||
\(391\) | − | 6.37747i | − | 0.322522i | ||||||
\(392\) | −8.55298 | − | 39.2815i | −0.431991 | − | 1.98402i | ||||
\(393\) | 21.5721 | − | 13.1300i | 1.08817 | − | 0.662322i | ||||
\(394\) | −2.52305 | + | 4.37005i | −0.127109 | + | 0.220160i | ||||
\(395\) | 0.121296 | + | 31.0137i | 0.00610304 | + | 1.56047i | ||||
\(396\) | −1.02433 | − | 22.0956i | −0.0514744 | − | 1.11034i | ||||
\(397\) | 2.14122 | − | 3.70870i | 0.107465 | − | 0.186134i | −0.807278 | − | 0.590172i | \(-0.799060\pi\) |
0.914743 | + | 0.404037i | \(0.132393\pi\) | |||||||
\(398\) | 19.9881i | 1.00191i | ||||||||
\(399\) | −25.8879 | − | 3.42248i | −1.29601 | − | 0.171338i | ||||
\(400\) | 14.7562 | + | 25.1029i | 0.737808 | + | 1.25514i | ||||
\(401\) | −10.8316 | − | 6.25361i | −0.540903 | − | 0.312290i | 0.204542 | − | 0.978858i | \(-0.434429\pi\) |
−0.745445 | + | 0.666568i | \(0.767763\pi\) | |||||||
\(402\) | −5.19152 | + | 9.49319i | −0.258930 | + | 0.473477i | ||||
\(403\) | −0.870163 | + | 0.502389i | −0.0433459 | + | 0.0250258i | ||||
\(404\) | −2.67464 | + | 4.63261i | −0.133068 | + | 0.230481i | ||||
\(405\) | −1.94027 | − | 20.0309i | −0.0964127 | − | 0.995341i | ||||
\(406\) | 23.2842 | − | 9.00415i | 1.15558 | − | 0.446868i | ||||
\(407\) | −5.68142 | −0.281617 | ||||||||
\(408\) | 25.2882 | − | 0.585852i | 1.25195 | − | 0.0290040i | ||||
\(409\) | 5.59219 | − | 3.22865i | 0.276516 | − | 0.159647i | −0.355329 | − | 0.934741i | \(-0.615631\pi\) |
0.631845 | + | 0.775095i | \(0.282298\pi\) | |||||||
\(410\) | 0.0577882 | + | 14.7757i | 0.00285395 | + | 0.729718i | ||||
\(411\) | −0.630352 | − | 27.2090i | −0.0310930 | − | 1.34212i | ||||
\(412\) | 17.7863 | 0.876267 | ||||||||
\(413\) | 17.9296 | + | 2.79430i | 0.882258 | + | 0.137499i | ||||
\(414\) | −8.66802 | + | 16.7611i | −0.426010 | + | 0.823766i | ||||
\(415\) | 3.94441 | + | 6.77062i | 0.193623 | + | 0.332357i | ||||
\(416\) | −0.562740 | − | 0.974694i | −0.0275906 | − | 0.0477883i | ||||
\(417\) | −12.2434 | + | 22.3882i | −0.599562 | + | 1.09636i | ||||
\(418\) | −12.2812 | + | 21.2717i | −0.600693 | + | 1.04043i | ||||
\(419\) | −10.0144 | −0.489233 | −0.244617 | − | 0.969620i | \(-0.578662\pi\) | ||||
−0.244617 | + | 0.969620i | \(0.578662\pi\) | |||||||
\(420\) | −43.6019 | − | 5.59093i | −2.12755 | − | 0.272809i | ||||
\(421\) | 17.7858 | 0.866825 | 0.433413 | − | 0.901196i | \(-0.357309\pi\) | ||||
0.433413 | + | 0.901196i | \(0.357309\pi\) | |||||||
\(422\) | 6.21214 | − | 10.7597i | 0.302402 | − | 0.523776i | ||||
\(423\) | 0.808982 | + | 17.4504i | 0.0393341 | + | 0.848467i | ||||
\(424\) | −4.17626 | − | 7.23350i | −0.202817 | − | 0.351290i | ||||
\(425\) | −0.0994512 | − | 12.7140i | −0.00482409 | − | 0.616719i | ||||
\(426\) | 29.7649 | + | 48.9025i | 1.44212 | + | 2.36934i | ||||
\(427\) | −3.95733 | + | 1.53032i | −0.191509 | + | 0.0740576i | ||||
\(428\) | 4.75121 | 0.229659 | ||||||||
\(429\) | 1.07371 | − | 0.0248748i | 0.0518394 | − | 0.00120097i | ||||
\(430\) | −56.4195 | + | 0.220659i | −2.72079 | + | 0.0106411i | ||||
\(431\) | −2.54530 | + | 1.46953i | −0.122603 | + | 0.0707847i | −0.560047 | − | 0.828461i | \(-0.689217\pi\) |
0.437444 | + | 0.899245i | \(0.355884\pi\) | |||||||
\(432\) | −27.1941 | − | 13.2744i | −1.30838 | − | 0.638664i | ||||
\(433\) | −31.6675 | −1.52184 | −0.760922 | − | 0.648843i | \(-0.775253\pi\) | ||||
−0.760922 | + | 0.648843i | \(0.775253\pi\) | |||||||
\(434\) | 14.3902 | + | 11.5941i | 0.690751 | + | 0.556534i | ||||
\(435\) | −0.394453 | − | 14.5659i | −0.0189126 | − | 0.698382i | ||||
\(436\) | 19.5486 | − | 33.8592i | 0.936208 | − | 1.62156i | ||||
\(437\) | 12.3767 | − | 7.14567i | 0.592056 | − | 0.341824i | ||||
\(438\) | −44.3773 | − | 24.2685i | −2.12043 | − | 1.15960i | ||||
\(439\) | −18.6152 | − | 10.7475i | −0.888457 | − | 0.512951i | −0.0150195 | − | 0.999887i | \(-0.504781\pi\) |
−0.873437 | + | 0.486936i | \(0.838114\pi\) | |||||||
\(440\) | −10.9609 | + | 19.1575i | −0.522541 | + | 0.913297i | ||||
\(441\) | 14.8653 | − | 14.8331i | 0.707873 | − | 0.706340i | ||||
\(442\) | 2.30088i | 0.109442i | ||||||||
\(443\) | 13.1347 | − | 22.7499i | 0.624048 | − | 1.08088i | −0.364676 | − | 0.931134i | \(-0.618820\pi\) |
0.988724 | − | 0.149748i | \(-0.0478463\pi\) | |||||||
\(444\) | −11.7852 | + | 21.5504i | −0.559303 | + | 1.02274i | ||||
\(445\) | −0.106761 | − | 27.2973i | −0.00506095 | − | 1.29402i | ||||
\(446\) | 19.6291 | − | 33.9987i | 0.929467 | − | 1.60988i | ||||
\(447\) | 11.4391 | + | 18.7940i | 0.541052 | + | 0.888926i | ||||
\(448\) | 6.34714 | − | 7.87786i | 0.299874 | − | 0.372194i | ||||
\(449\) | − | 36.0069i | − | 1.69927i | −0.527369 | − | 0.849636i | \(-0.676821\pi\) | ||
0.527369 | − | 0.849636i | \(-0.323179\pi\) | |||||||
\(450\) | −17.0190 | + | 33.5498i | −0.802283 | + | 1.58155i | ||||
\(451\) | −3.92167 | + | 2.26418i | −0.184664 | + | 0.106616i | ||||
\(452\) | 8.13550 | + | 14.0911i | 0.382662 | + | 0.662789i | ||||
\(453\) | −0.669675 | − | 28.9064i | −0.0314641 | − | 1.35814i | ||||
\(454\) | 31.6306i | 1.48450i | ||||||||
\(455\) | 0.320428 | − | 2.11024i | 0.0150219 | − | 0.0989293i | ||||
\(456\) | 29.4712 | + | 48.4200i | 1.38012 | + | 2.26747i | ||||
\(457\) | −15.8020 | − | 9.12327i | −0.739185 | − | 0.426768i | 0.0825881 | − | 0.996584i | \(-0.473681\pi\) |
−0.821773 | + | 0.569815i | \(0.807015\pi\) | |||||||
\(458\) | 13.0152 | − | 7.51431i | 0.608159 | − | 0.351121i | ||||
\(459\) | 7.38515 | + | 10.9566i | 0.344709 | + | 0.511410i | ||||
\(460\) | 20.7877 | − | 12.1104i | 0.969230 | − | 0.564651i | ||||
\(461\) | −22.8072 | −1.06224 | −0.531119 | − | 0.847298i | \(-0.678228\pi\) | ||||
−0.531119 | + | 0.847298i | \(0.678228\pi\) | |||||||
\(462\) | −7.54922 | − | 18.2534i | −0.351221 | − | 0.849226i | ||||
\(463\) | − | 23.3718i | − | 1.08618i | −0.839674 | − | 0.543090i | \(-0.817254\pi\) | ||
0.839674 | − | 0.543090i | \(-0.182746\pi\) | |||||||
\(464\) | −18.9751 | − | 10.9553i | −0.880897 | − | 0.508586i | ||||
\(465\) | 9.19171 | − | 5.64400i | 0.426255 | − | 0.261734i | ||||
\(466\) | −27.3411 | − | 47.3561i | −1.26655 | − | 2.19373i | ||||
\(467\) | 9.43053 | + | 5.44472i | 0.436393 | + | 0.251951i | 0.702066 | − | 0.712112i | \(-0.252261\pi\) |
−0.265674 | + | 0.964063i | \(0.585594\pi\) | |||||||
\(468\) | 2.13291 | − | 4.12435i | 0.0985936 | − | 0.190648i | ||||
\(469\) | −1.01481 | + | 6.51150i | −0.0468595 | + | 0.300673i | ||||
\(470\) | 16.2171 | − | 28.3443i | 0.748039 | − | 1.30742i | ||||
\(471\) | −0.0578924 | − | 2.49891i | −0.00266754 | − | 0.115144i | ||||
\(472\) | −19.6948 | − | 34.1124i | −0.906527 | − | 1.57015i | ||||
\(473\) | −8.64555 | − | 14.9745i | −0.397523 | − | 0.688530i | ||||
\(474\) | 1.39544 | + | 60.2336i | 0.0640945 | + | 2.76662i | ||||
\(475\) | 24.5624 | − | 14.4384i | 1.12700 | − | 0.662481i | ||||
\(476\) | 26.9193 | − | 10.4098i | 1.23384 | − | 0.477135i | ||||
\(477\) | 2.00421 | − | 3.87549i | 0.0917663 | − | 0.177446i | ||||
\(478\) | −54.0970 | − | 31.2329i | −2.47434 | − | 1.42856i | ||||
\(479\) | −5.13835 | − | 8.89989i | −0.234777 | − | 0.406646i | 0.724431 | − | 0.689348i | \(-0.242103\pi\) |
−0.959208 | + | 0.282701i | \(0.908769\pi\) | |||||||
\(480\) | 6.32200 | + | 10.2959i | 0.288559 | + | 0.469941i | ||||
\(481\) | −1.03285 | − | 0.596314i | −0.0470938 | − | 0.0271896i | ||||
\(482\) | 42.7021i | 1.94503i | ||||||||
\(483\) | −1.50631 | + | 11.3939i | −0.0685397 | + | 0.518438i | ||||
\(484\) | 34.5173 | 1.56897 | ||||||||
\(485\) | 15.8190 | − | 9.21581i | 0.718306 | − | 0.418468i | ||||
\(486\) | −4.51771 | − | 38.8336i | −0.204928 | − | 1.76153i | ||||
\(487\) | −11.9923 | + | 6.92377i | −0.543424 | + | 0.313746i | −0.746466 | − | 0.665424i | \(-0.768251\pi\) |
0.203041 | + | 0.979170i | \(0.434917\pi\) | |||||||
\(488\) | 7.97618 | + | 4.60505i | 0.361065 | + | 0.208461i | ||||
\(489\) | 15.1847 | + | 24.9478i | 0.686676 | + | 1.12818i | ||||
\(490\) | −38.3244 | + | 8.50170i | −1.73132 | + | 0.384068i | ||||
\(491\) | 13.5981i | 0.613672i | 0.951762 | + | 0.306836i | \(0.0992704\pi\) | ||||
−0.951762 | + | 0.306836i | \(0.900730\pi\) | |||||||
\(492\) | 0.453428 | + | 19.5721i | 0.0204421 | + | 0.882379i | ||||
\(493\) | 4.78350 | + | 8.28527i | 0.215438 | + | 0.373150i | ||||
\(494\) | −4.46529 | + | 2.57804i | −0.200903 | + | 0.115991i | ||||
\(495\) | −11.5148 | + | 0.578954i | −0.517551 | + | 0.0260220i | ||||
\(496\) | − | 16.2190i | − | 0.728256i | ||||||
\(497\) | 27.1520 | + | 21.8762i | 1.21793 | + | 0.981281i | ||||
\(498\) | 7.91447 | + | 13.0031i | 0.354656 | + | 0.582684i | ||||
\(499\) | −18.1054 | + | 31.3595i | −0.810511 | + | 1.40385i | 0.101996 | + | 0.994785i | \(0.467477\pi\) |
−0.912507 | + | 0.409061i | \(0.865856\pi\) | |||||||
\(500\) | 41.2530 | − | 24.4672i | 1.84489 | − | 1.09421i | ||||
\(501\) | −5.99087 | + | 10.9549i | −0.267653 | + | 0.489428i | ||||
\(502\) | −34.3499 | + | 59.4958i | −1.53311 | + | 2.65543i | ||||
\(503\) | − | 0.513189i | − | 0.0228819i | −0.999935 | − | 0.0114410i | \(-0.996358\pi\) | ||
0.999935 | − | 0.0114410i | \(-0.00364185\pi\) | |||||||
\(504\) | −45.3177 | − | 4.92622i | −2.01861 | − | 0.219431i | ||||
\(505\) | 2.42011 | + | 1.38466i | 0.107693 | + | 0.0616165i | ||||
\(506\) | 9.36215 | + | 5.40524i | 0.416198 | + | 0.240292i | ||||
\(507\) | −19.5577 | − | 10.6955i | −0.868589 | − | 0.475004i | ||||
\(508\) | −22.2408 | + | 12.8407i | −0.986776 | + | 0.569715i | ||||
\(509\) | −9.40202 | + | 16.2848i | −0.416737 | + | 0.721810i | −0.995609 | − | 0.0936084i | \(-0.970160\pi\) |
0.578872 | + | 0.815419i | \(0.303493\pi\) | |||||||
\(510\) | −0.668639 | − | 24.6908i | −0.0296079 | − | 1.09333i | ||||
\(511\) | −30.4390 | − | 4.74387i | −1.34654 | − | 0.209856i | ||||
\(512\) | −48.7256 | −2.15339 | ||||||||
\(513\) | −12.9886 | + | 26.6086i | −0.573460 | + | 1.17480i | ||||
\(514\) | 66.0024 | − | 38.1065i | 2.91124 | − | 1.68081i | ||||
\(515\) | −0.0362582 | − | 9.27075i | −0.00159773 | − | 0.408518i | ||||
\(516\) | −74.7343 | + | 1.73137i | −3.29000 | + | 0.0762195i | ||||
\(517\) | 10.0080 | 0.440152 | ||||||||
\(518\) | −3.37771 | + | 21.6730i | −0.148408 | + | 0.952258i | ||||
\(519\) | 8.09219 | + | 13.2951i | 0.355208 | + | 0.583591i | ||||
\(520\) | −4.00337 | + | 2.33227i | −0.175559 | + | 0.102277i | ||||
\(521\) | 15.1847 | + | 26.3007i | 0.665254 | + | 1.15225i | 0.979216 | + | 0.202818i | \(0.0650100\pi\) |
−0.313963 | + | 0.949435i | \(0.601657\pi\) | |||||||
\(522\) | −1.31088 | − | 28.2768i | −0.0573758 | − | 1.23764i | ||||
\(523\) | 19.5144 | − | 33.7999i | 0.853305 | − | 1.47797i | −0.0249028 | − | 0.999690i | \(-0.507928\pi\) |
0.878208 | − | 0.478278i | \(-0.158739\pi\) | |||||||
\(524\) | −62.5485 | −2.73244 | ||||||||
\(525\) | −2.82528 | + | 22.7380i | −0.123305 | + | 0.992369i | ||||
\(526\) | −48.4958 | −2.11452 | ||||||||
\(527\) | −3.54093 | + | 6.13308i | −0.154246 | + | 0.267161i | ||||
\(528\) | −8.31818 | + | 15.2106i | −0.362002 | + | 0.661955i | ||||
\(529\) | 8.35503 | + | 14.4713i | 0.363262 | + | 0.629188i | ||||
\(530\) | −7.04731 | + | 4.10560i | −0.306115 | + | 0.178336i | ||||
\(531\) | 9.45162 | − | 18.2764i | 0.410165 | − | 0.793127i | ||||
\(532\) | 50.3641 | + | 40.5781i | 2.18356 | + | 1.75928i | ||||
\(533\) | −0.950580 | −0.0411742 | ||||||||
\(534\) | −1.22822 | − | 53.0159i | −0.0531504 | − | 2.29422i | ||||
\(535\) | −0.00968560 | − | 2.47648i | −0.000418745 | − | 0.107067i | ||||
\(536\) | 12.3886 | − | 7.15257i | 0.535106 | − | 0.308944i | ||||
\(537\) | 18.9816 | − | 0.439747i | 0.819115 | − | 0.0189765i | ||||
\(538\) | 55.1794 | 2.37895 | ||||||||
\(539\) | −8.09436 | − | 8.90071i | −0.348649 | − | 0.383381i | ||||
\(540\) | −21.6896 | + | 44.8782i | −0.933374 | + | 1.93125i | ||||
\(541\) | 5.25615 | − | 9.10392i | 0.225980 | − | 0.391408i | −0.730633 | − | 0.682770i | \(-0.760775\pi\) |
0.956613 | + | 0.291362i | \(0.0941084\pi\) | |||||||
\(542\) | 32.7049 | − | 18.8822i | 1.40480 | − | 0.811060i | ||||
\(543\) | −4.48191 | + | 8.19559i | −0.192337 | + | 0.351706i | ||||
\(544\) | −6.86984 | − | 3.96630i | −0.294542 | − | 0.170054i | ||||
\(545\) | −17.6883 | − | 10.1203i | −0.757683 | − | 0.433506i | ||||
\(546\) | 0.543453 | − | 4.11071i | 0.0232577 | − | 0.175922i | ||||
\(547\) | 25.2465i | 1.07946i | 0.841837 | + | 0.539731i | \(0.181474\pi\) | ||||
−0.841837 | + | 0.539731i | \(0.818526\pi\) | |||||||
\(548\) | −33.7046 | + | 58.3782i | −1.43979 | + | 2.49379i | ||||
\(549\) | 0.222795 | + | 4.80586i | 0.00950864 | + | 0.205109i | ||||
\(550\) | 18.7485 | + | 10.6298i | 0.799437 | + | 0.453255i | ||||
\(551\) | −10.7194 | + | 18.5666i | −0.456662 | + | 0.790962i | ||||
\(552\) | 21.3107 | − | 12.9710i | 0.907045 | − | 0.552081i | ||||
\(553\) | 13.2355 | + | 34.2261i | 0.562829 | + | 1.45544i | ||||
\(554\) | 4.20334i | 0.178583i | ||||||||
\(555\) | 11.2568 | + | 6.09890i | 0.477823 | + | 0.258884i | ||||
\(556\) | 54.7339 | − | 31.6007i | 2.32124 | − | 1.34017i | ||||
\(557\) | 10.1745 | + | 17.6227i | 0.431106 | + | 0.746697i | 0.996969 | − | 0.0778021i | \(-0.0247902\pi\) |
−0.565863 | + | 0.824499i | \(0.691457\pi\) | |||||||
\(558\) | 17.6421 | − | 11.3061i | 0.746849 | − | 0.478627i | ||||
\(559\) | − | 3.62970i | − | 0.153520i | ||||||
\(560\) | 26.9135 | + | 21.5110i | 1.13730 | + | 0.909005i | ||||
\(561\) | 6.46621 | − | 3.93571i | 0.273003 | − | 0.166166i | ||||
\(562\) | −4.56300 | − | 2.63445i | −0.192479 | − | 0.111128i | ||||
\(563\) | −30.8870 | + | 17.8326i | −1.30173 | + | 0.751555i | −0.980701 | − | 0.195514i | \(-0.937362\pi\) |
−0.321030 | + | 0.947069i | \(0.604029\pi\) | |||||||
\(564\) | 20.7601 | − | 37.9618i | 0.874158 | − | 1.59848i | ||||
\(565\) | 7.32812 | − | 4.26919i | 0.308296 | − | 0.179606i | ||||
\(566\) | 12.5499 | 0.527513 | ||||||||
\(567\) | −10.6063 | − | 21.3192i | −0.445422 | − | 0.895321i | ||||
\(568\) | − | 75.6885i | − | 3.17582i | ||||||
\(569\) | 21.8018 | + | 12.5873i | 0.913977 | + | 0.527685i | 0.881709 | − | 0.471794i | \(-0.156393\pi\) |
0.0322687 | + | 0.999479i | \(0.489727\pi\) | |||||||
\(570\) | 47.1678 | − | 28.9625i | 1.97564 | − | 1.21311i | ||||
\(571\) | −2.49020 | − | 4.31316i | −0.104212 | − | 0.180500i | 0.809204 | − | 0.587528i | \(-0.199899\pi\) |
−0.913416 | + | 0.407028i | \(0.866565\pi\) | |||||||
\(572\) | −2.30371 | − | 1.33005i | −0.0963228 | − | 0.0556120i | ||||
\(573\) | −19.1976 | − | 31.5409i | −0.801992 | − | 1.31764i | ||||
\(574\) | 6.30570 | + | 16.3062i | 0.263195 | + | 0.680607i | ||||
\(575\) | −6.35469 | − | 10.8105i | −0.265009 | − | 0.450828i | ||||
\(576\) | −6.18951 | − | 9.65809i | −0.257896 | − | 0.402421i | ||||
\(577\) | 10.9662 | + | 18.9939i | 0.456527 | + | 0.790728i | 0.998775 | − | 0.0494908i | \(-0.0157598\pi\) |
−0.542248 | + | 0.840219i | \(0.682427\pi\) | |||||||
\(578\) | −13.2093 | − | 22.8791i | −0.549432 | − | 0.951645i | ||||
\(579\) | 24.1316 | − | 0.559057i | 1.00287 | − | 0.0232336i | ||||
\(580\) | −17.9227 | + | 31.3253i | −0.744199 | + | 1.30071i | ||||
\(581\) | 7.21968 | + | 5.81685i | 0.299523 | + | 0.241324i | ||||
\(582\) | 30.3808 | − | 18.4915i | 1.25933 | − | 0.766499i | ||||
\(583\) | −2.16470 | − | 1.24979i | −0.0896528 | − | 0.0517610i | ||||
\(584\) | 33.4357 | + | 57.9124i | 1.38358 | + | 2.39643i | ||||
\(585\) | −2.15408 | − | 1.10333i | −0.0890604 | − | 0.0456170i | ||||
\(586\) | 37.5173 | + | 21.6606i | 1.54983 | + | 0.894792i | ||||
\(587\) | − | 31.8719i | − | 1.31549i | −0.753240 | − | 0.657746i | \(-0.771510\pi\) | ||
0.753240 | − | 0.657746i | \(-0.228490\pi\) | |||||||
\(588\) | −50.5521 | + | 12.2399i | −2.08474 | + | 0.504764i | ||||
\(589\) | −15.8698 | −0.653905 | ||||||||
\(590\) | −33.2343 | + | 19.3616i | −1.36824 | + | 0.797103i | ||||
\(591\) | 3.05758 | + | 1.67209i | 0.125772 | + | 0.0687807i | ||||
\(592\) | 16.6721 | − | 9.62566i | 0.685220 | − | 0.395612i | ||||
\(593\) | −28.4985 | − | 16.4536i | −1.17029 | − | 0.675669i | −0.216545 | − | 0.976273i | \(-0.569479\pi\) |
−0.953749 | + | 0.300603i | \(0.902812\pi\) | |||||||
\(594\) | −22.3436 | + | 1.55514i | −0.916771 | + | 0.0638080i | ||||
\(595\) | −5.48081 | − | 14.0099i | −0.224691 | − | 0.574351i | ||||
\(596\) | − | 54.4935i | − | 2.23214i | ||||||
\(597\) | 13.8004 | − | 0.319716i | 0.564814 | − | 0.0130851i | ||||
\(598\) | 1.13465 | + | 1.96528i | 0.0463995 | + | 0.0803662i | ||||
\(599\) | 18.8935 | − | 10.9082i | 0.771968 | − | 0.445696i | −0.0616082 | − | 0.998100i | \(-0.519623\pi\) |
0.833576 | + | 0.552404i | \(0.186290\pi\) | |||||||
\(600\) | 42.2824 | − | 26.1910i | 1.72617 | − | 1.06924i | ||||
\(601\) | 23.9262i | 0.975969i | 0.872852 | + | 0.487985i | \(0.162268\pi\) | ||||
−0.872852 | + | 0.487985i | \(0.837732\pi\) | |||||||
\(602\) | −62.2636 | + | 24.0777i | −2.53768 | + | 0.981335i | ||||
\(603\) | 6.63744 | + | 3.43255i | 0.270297 | + | 0.139784i | ||||
\(604\) | −35.8073 | + | 62.0200i | −1.45698 | + | 2.52356i | ||||
\(605\) | −0.0703653 | − | 17.9915i | −0.00286076 | − | 0.731458i | ||||
\(606\) | 4.75239 | + | 2.59893i | 0.193053 | + | 0.105574i | ||||
\(607\) | −22.1491 | + | 38.3634i | −0.899005 | + | 1.55712i | −0.0702358 | + | 0.997530i | \(0.522375\pi\) |
−0.828769 | + | 0.559591i | \(0.810958\pi\) | |||||||
\(608\) | − | 17.7763i | − | 0.720922i | ||||||
\(609\) | −6.58919 | − | 15.9321i | −0.267007 | − | 0.645603i | ||||
\(610\) | 4.46621 | − | 7.80604i | 0.180831 | − | 0.316057i | ||||
\(611\) | 1.81940 | + | 1.05043i | 0.0736049 | + | 0.0424958i | ||||
\(612\) | −1.51553 | − | 32.6913i | −0.0612618 | − | 1.32147i | ||||
\(613\) | −6.96484 | + | 4.02115i | −0.281307 | + | 0.162413i | −0.634015 | − | 0.773321i | \(-0.718594\pi\) |
0.352708 | + | 0.935733i | \(0.385261\pi\) | |||||||
\(614\) | 12.8313 | − | 22.2245i | 0.517829 | − | 0.896907i | ||||
\(615\) | 10.2007 | − | 0.276240i | 0.411330 | − | 0.0111391i | ||||
\(616\) | −4.02149 | + | 25.8038i | −0.162030 | + | 1.03967i | ||||
\(617\) | 13.1311 | 0.528637 | 0.264318 | − | 0.964435i | \(-0.414853\pi\) | ||||
0.264318 | + | 0.964435i | \(0.414853\pi\) | |||||||
\(618\) | −0.417130 | − | 18.0053i | −0.0167794 | − | 0.724280i | ||||
\(619\) | −21.7909 | + | 12.5810i | −0.875850 | + | 0.505672i | −0.869288 | − | 0.494306i | \(-0.835422\pi\) |
−0.00656210 | + | 0.999978i | \(0.502089\pi\) | |||||||
\(620\) | −26.7151 | + | 0.104484i | −1.07290 | + | 0.00419616i | ||||
\(621\) | 11.7111 | + | 5.71658i | 0.469949 | + | 0.229398i | ||||
\(622\) | −26.2783 | −1.05367 | ||||||||
\(623\) | −11.6495 | − | 30.1249i | −0.466727 | − | 1.20693i | ||||
\(624\) | −3.10867 | + | 1.89212i | −0.124447 | + | 0.0757455i | ||||
\(625\) | −12.8372 | − | 21.4524i | −0.513486 | − | 0.858098i | ||||
\(626\) | −0.321242 | − | 0.556407i | −0.0128394 | − | 0.0222385i | ||||
\(627\) | 14.8831 | + | 8.13908i | 0.594373 | + | 0.325044i | ||||
\(628\) | −3.09548 | + | 5.36153i | −0.123523 | + | 0.213948i | ||||
\(629\) | −8.40588 | −0.335164 | ||||||||
\(630\) | −4.63721 | + | 44.2700i | −0.184751 | + | 1.76376i | ||||
\(631\) | −9.42011 | −0.375009 | −0.187504 | − | 0.982264i | \(-0.560040\pi\) | ||||
−0.187504 | + | 0.982264i | \(0.560040\pi\) | |||||||
\(632\) | 39.8281 | − | 68.9843i | 1.58428 | − | 2.74405i | ||||
\(633\) | −7.52823 | − | 4.11695i | −0.299220 | − | 0.163634i | ||||
\(634\) | −38.7965 | − | 67.1975i | −1.54081 | − | 2.66875i | ||||
\(635\) | 6.73832 | + | 11.5664i | 0.267402 | + | 0.458999i | ||||
\(636\) | −9.23097 | + | 5.61851i | −0.366032 | + | 0.222788i | ||||
\(637\) | −0.537299 | − | 2.46767i | −0.0212885 | − | 0.0977725i | ||||
\(638\) | −16.2171 | −0.642041 | ||||||||
\(639\) | 33.2878 | − | 21.3329i | 1.31684 | − | 0.843915i | ||||
\(640\) | 0.138428 | + | 35.3943i | 0.00547186 | + | 1.39908i | ||||
\(641\) | −4.25254 | + | 2.45520i | −0.167965 | + | 0.0969747i | −0.581626 | − | 0.813456i | \(-0.697583\pi\) |
0.413661 | + | 0.910431i | \(0.364250\pi\) | |||||||
\(642\) | −0.111427 | − | 4.80973i | −0.00439768 | − | 0.189825i | ||||
\(643\) | 8.98926 | 0.354502 | 0.177251 | − | 0.984166i | \(-0.443280\pi\) | ||||
0.177251 | + | 0.984166i | \(0.443280\pi\) | |||||||
\(644\) | 17.8593 | − | 22.1664i | 0.703756 | − | 0.873478i | ||||
\(645\) | 1.05480 | + | 38.9503i | 0.0415325 | + | 1.53367i | ||||
\(646\) | −18.1705 | + | 31.4723i | −0.714910 | + | 1.23826i | ||||
\(647\) | 0.206934 | − | 0.119473i | 0.00813542 | − | 0.00469699i | −0.495927 | − | 0.868364i | \(-0.665172\pi\) |
0.504062 | + | 0.863667i | \(0.331838\pi\) | |||||||
\(648\) | −21.5918 | + | 46.9623i | −0.848205 | + | 1.84485i | ||||
\(649\) | −10.2085 | − | 5.89388i | −0.400719 | − | 0.231355i | ||||
\(650\) | 2.29267 | + | 3.90024i | 0.0899259 | + | 0.152980i | ||||
\(651\) | 7.77475 | − | 10.1209i | 0.304717 | − | 0.396669i | ||||
\(652\) | − | 72.3365i | − | 2.83292i | ||||||
\(653\) | 0.979061 | − | 1.69578i | 0.0383136 | − | 0.0663611i | −0.846233 | − | 0.532813i | \(-0.821135\pi\) |
0.884546 | + | 0.466452i | \(0.154468\pi\) | |||||||
\(654\) | −34.7346 | − | 18.9953i | −1.35823 | − | 0.742774i | ||||
\(655\) | 0.127508 | + | 32.6022i | 0.00498216 | + | 1.27387i | ||||
\(656\) | 7.67209 | − | 13.2885i | 0.299545 | − | 0.518827i | ||||
\(657\) | −16.0459 | + | 31.0277i | −0.626012 | + | 1.21050i | ||||
\(658\) | 5.94996 | − | 38.1778i | 0.231953 | − | 1.48833i | ||||
\(659\) | 31.6741i | 1.23385i | 0.787023 | + | 0.616924i | \(0.211621\pi\) | ||||
−0.787023 | + | 0.616924i | \(0.788379\pi\) | |||||||
\(660\) | 25.1076 | + | 13.6032i | 0.977311 | + | 0.529506i | ||||
\(661\) | −24.8549 | + | 14.3500i | −0.966744 | + | 0.558150i | −0.898242 | − | 0.439501i | \(-0.855155\pi\) |
−0.0685020 | + | 0.997651i | \(0.521822\pi\) | |||||||
\(662\) | 10.5072 | + | 18.1990i | 0.408374 | + | 0.707324i | ||||
\(663\) | 1.58860 | − | 0.0368033i | 0.0616963 | − | 0.00142932i | ||||
\(664\) | − | 20.1255i | − | 0.781020i | ||||||
\(665\) | 21.0479 | − | 26.3340i | 0.816201 | − | 1.02119i | ||||
\(666\) | 22.0922 | + | 11.4250i | 0.856055 | + | 0.442709i | ||||
\(667\) | 8.17157 | + | 4.71786i | 0.316404 | + | 0.182676i | ||||
\(668\) | 26.7821 | − | 15.4626i | 1.03623 | − | 0.598268i | ||||
\(669\) | −23.7877 | − | 13.0088i | −0.919687 | − | 0.502948i | ||||
\(670\) | −7.03154 | − | 12.0697i | −0.271652 | − | 0.466294i | ||||
\(671\) | 2.75622 | 0.106403 | ||||||||
\(672\) | 11.3367 | + | 8.70872i | 0.437322 | + | 0.335946i | ||||
\(673\) | 33.9688i | 1.30940i | 0.755889 | + | 0.654700i | \(0.227205\pi\) | ||||
−0.755889 | + | 0.654700i | \(0.772795\pi\) | |||||||
\(674\) | 25.5106 | + | 14.7285i | 0.982631 | + | 0.567322i | ||||
\(675\) | 23.4361 | + | 11.2138i | 0.902055 | + | 0.431620i | ||||
\(676\) | 27.6054 | + | 47.8140i | 1.06175 | + | 1.83900i | ||||
\(677\) | 6.22623 | + | 3.59472i | 0.239294 | + | 0.138156i | 0.614852 | − | 0.788643i | \(-0.289216\pi\) |
−0.375558 | + | 0.926799i | \(0.622549\pi\) | |||||||
\(678\) | 14.0738 | − | 8.56616i | 0.540502 | − | 0.328981i | ||||
\(679\) | 13.5906 | − | 16.8682i | 0.521561 | − | 0.647343i | ||||
\(680\) | −16.2171 | + | 28.3443i | −0.621897 | + | 1.08695i | ||||
\(681\) | 21.8388 | − | 0.505940i | 0.836863 | − | 0.0193876i | ||||
\(682\) | −6.00226 | − | 10.3962i | −0.229838 | − | 0.398092i | ||||
\(683\) | 4.02013 | + | 6.96307i | 0.153826 | + | 0.266435i | 0.932631 | − | 0.360832i | \(-0.117507\pi\) |
−0.778805 | + | 0.627266i | \(0.784174\pi\) | |||||||
\(684\) | 61.7454 | − | 39.5703i | 2.36089 | − | 1.51301i | ||||
\(685\) | 30.4972 | + | 17.4489i | 1.16524 | + | 0.666688i | ||||
\(686\) | −38.7660 | + | 25.5861i | −1.48009 | + | 0.976883i | ||||
\(687\) | −5.39630 | − | 8.86589i | −0.205882 | − | 0.338255i | ||||
\(688\) | 50.7407 | + | 29.2952i | 1.93447 | + | 1.11687i | ||||
\(689\) | −0.262353 | − | 0.454409i | −0.00999485 | − | 0.0173116i | ||||
\(690\) | −12.7471 | − | 20.7597i | −0.485273 | − | 0.790307i | ||||
\(691\) | 38.3278 | + | 22.1286i | 1.45806 | + | 0.841810i | 0.998916 | − | 0.0465523i | \(-0.0148234\pi\) |
0.459142 | + | 0.888363i | \(0.348157\pi\) | |||||||
\(692\) | − | 38.5494i | − | 1.46543i | ||||||
\(693\) | −12.4820 | + | 5.50419i | −0.474151 | + | 0.209087i | ||||
\(694\) | 1.10867 | 0.0420847 | ||||||||
\(695\) | −16.5828 | − | 28.4646i | −0.629022 | − | 1.07972i | ||||
\(696\) | −17.9568 | + | 32.8356i | −0.680649 | + | 1.24463i | ||||
\(697\) | −5.80226 | + | 3.34994i | −0.219776 | + | 0.126888i | ||||
\(698\) | 47.2197 | + | 27.2623i | 1.78729 | + | 1.03189i | ||||
\(699\) | −32.2588 | + | 19.6346i | −1.22014 | + | 0.742649i | ||||
\(700\) | 35.2583 | − | 44.4689i | 1.33264 | − | 1.68077i | ||||
\(701\) | − | 0.779307i | − | 0.0294340i | −0.999892 | − | 0.0147170i | \(-0.995315\pi\) | ||
0.999892 | − | 0.0147170i | \(-0.00468474\pi\) | |||||||
\(702\) | −4.22516 | − | 2.06245i | −0.159468 | − | 0.0778420i | ||||
\(703\) | −9.41841 | − | 16.3132i | −0.355222 | − | 0.615263i | ||||
\(704\) | −5.69137 | + | 3.28592i | −0.214502 | + | 0.123843i | ||||
\(705\) | −19.8292 | − | 10.7434i | −0.746810 | − | 0.404621i | ||||
\(706\) | − | 57.1404i | − | 2.15051i | ||||||
\(707\) | 3.25973 | + | 0.508023i | 0.122595 | + | 0.0191062i | ||||
\(708\) | −43.5323 | + | 26.4963i | −1.63604 | + | 0.995792i | ||||
\(709\) | 4.63267 | − | 8.02402i | 0.173984 | − | 0.301348i | −0.765825 | − | 0.643048i | \(-0.777669\pi\) |
0.939809 | + | 0.341700i | \(0.111003\pi\) | |||||||
\(710\) | −73.9072 | + | 0.289054i | −2.77369 | + | 0.0108480i | ||||
\(711\) | 41.5649 | − | 1.92691i | 1.55880 | − | 0.0722646i | ||||
\(712\) | −35.0556 | + | 60.7181i | −1.31376 | + | 2.27551i | ||||
\(713\) | 6.98468i | 0.261578i | ||||||||
\(714\) | −11.1694 | − | 27.0066i | −0.418003 | − | 1.01070i | ||||
\(715\) | −0.688564 | + | 1.20347i | −0.0257508 | + | 0.0450074i | ||||
\(716\) | −40.7259 | − | 23.5131i | −1.52200 | − | 0.878725i | ||||
\(717\) | −20.6989 | + | 37.8499i | −0.773015 | + | 1.41353i | ||||
\(718\) | 54.3493 | − | 31.3786i | 2.02830 | − | 1.17104i | ||||
\(719\) | 9.09980 | − | 15.7613i | 0.339365 | − | 0.587798i | −0.644948 | − | 0.764226i | \(-0.723121\pi\) |
0.984313 | + | 0.176428i | \(0.0564544\pi\) | |||||||
\(720\) | 32.8093 | − | 21.2077i | 1.22273 | − | 0.790365i | ||||
\(721\) | −3.95641 | − | 10.2310i | −0.147344 | − | 0.381024i | ||||
\(722\) | −33.7855 | −1.25737 | ||||||||
\(723\) | 29.4829 | − | 0.683032i | 1.09648 | − | 0.0254022i | ||||
\(724\) | 20.0363 | − | 11.5680i | 0.744643 | − | 0.429920i | ||||
\(725\) | 16.3642 | + | 9.27799i | 0.607752 | + | 0.344576i | ||||
\(726\) | −0.809513 | − | 34.9424i | −0.0300438 | − | 1.29683i | ||||
\(727\) | 31.6357 | 1.17330 | 0.586652 | − | 0.809839i | \(-0.300446\pi\) | ||||
0.586652 | + | 0.809839i | \(0.300446\pi\) | |||||||
\(728\) | −3.43942 | + | 4.26889i | −0.127473 | + | 0.158216i | ||||
\(729\) | −26.7397 | + | 3.74032i | −0.990358 | + | 0.138531i | ||||
\(730\) | 56.4217 | − | 32.8700i | 2.08826 | − | 1.21657i | ||||
\(731\) | −12.7914 | − | 22.1554i | −0.473108 | − | 0.819447i | ||||
\(732\) | 5.71736 | − | 10.4547i | 0.211320 | − | 0.386418i | ||||
\(733\) | −8.50426 | + | 14.7298i | −0.314112 | + | 0.544058i | −0.979248 | − | 0.202664i | \(-0.935040\pi\) |
0.665136 | + | 0.746722i | \(0.268373\pi\) | |||||||
\(734\) | 53.5381 | 1.97613 | ||||||||
\(735\) | 6.48285 | + | 26.3244i | 0.239124 | + | 0.970989i | ||||
\(736\) | −7.82374 | −0.288387 | ||||||||
\(737\) | 2.14048 | − | 3.70742i | 0.0788457 | − | 0.136565i | ||||
\(738\) | 19.8025 | − | 0.918025i | 0.728941 | − | 0.0337930i | ||||
\(739\) | 9.49020 | + | 16.4375i | 0.349103 | + | 0.604664i | 0.986090 | − | 0.166210i | \(-0.0531531\pi\) |
−0.636988 | + | 0.770874i | \(0.719820\pi\) | |||||||
\(740\) | −15.9622 | − | 27.3994i | −0.586784 | − | 1.00722i | ||||
\(741\) | 1.85138 | + | 3.04174i | 0.0680123 | + | 0.111741i | ||||
\(742\) | −6.05456 | + | 7.51471i | −0.222270 | + | 0.275874i | ||||
\(743\) | −3.80063 | −0.139432 | −0.0697159 | − | 0.997567i | \(-0.522209\pi\) | ||||
−0.0697159 | + | 0.997567i | \(0.522209\pi\) | |||||||
\(744\) | −27.6959 | + | 0.641633i | −1.01538 | + | 0.0235234i | ||||
\(745\) | −28.4037 | + | 0.111088i | −1.04063 | + | 0.00406994i | ||||
\(746\) | −30.7004 | + | 17.7249i | −1.12402 | + | 0.648953i | ||||
\(747\) | 8.85118 | − | 5.67239i | 0.323848 | − | 0.207542i | ||||
\(748\) | −18.7489 | −0.685526 | ||||||||
\(749\) | −1.05687 | − | 2.73300i | −0.0386171 | − | 0.0998616i | ||||
\(750\) | −25.7360 | − | 41.1872i | −0.939747 | − | 1.50394i | ||||
\(751\) | 6.32279 | − | 10.9514i | 0.230722 | − | 0.399622i | −0.727299 | − | 0.686321i | \(-0.759225\pi\) |
0.958021 | + | 0.286699i | \(0.0925579\pi\) | |||||||
\(752\) | −29.3685 | + | 16.9559i | −1.07096 | + | 0.618319i | ||||
\(753\) | 41.6272 | + | 22.7646i | 1.51698 | + | 0.829589i | ||||
\(754\) | −2.94817 | − | 1.70213i | −0.107366 | − | 0.0619878i | ||||
\(755\) | 32.3997 | + | 18.5374i | 1.17915 | + | 0.674645i | ||||
\(756\) | −5.01383 | + | 58.7635i | −0.182351 | + | 2.13721i | ||||
\(757\) | − | 6.50118i | − | 0.236289i | −0.992996 | − | 0.118145i | \(-0.962305\pi\) | ||
0.992996 | − | 0.118145i | \(-0.0376947\pi\) | |||||||
\(758\) | 11.9615 | − | 20.7180i | 0.434463 | − | 0.752512i | ||||
\(759\) | 3.58220 | − | 6.55038i | 0.130026 | − | 0.237764i | ||||
\(760\) | −73.1778 | + | 0.286201i | −2.65444 | + | 0.0103816i | ||||
\(761\) | −21.8912 | + | 37.9167i | −0.793556 | + | 1.37448i | 0.130195 | + | 0.991488i | \(0.458440\pi\) |
−0.923752 | + | 0.382992i | \(0.874894\pi\) | |||||||
\(762\) | 13.5205 | + | 22.2135i | 0.489795 | + | 0.804712i | ||||
\(763\) | −23.8249 | − | 3.71308i | −0.862521 | − | 0.134423i | ||||
\(764\) | 91.4531i | 3.30866i | ||||||||
\(765\) | −17.0366 | + | 0.856585i | −0.615959 | + | 0.0309699i | ||||
\(766\) | −34.2529 | + | 19.7759i | −1.23761 | + | 0.714533i | ||||
\(767\) | −1.23723 | − | 2.14294i | −0.0446737 | − | 0.0773771i | ||||
\(768\) | 1.28575 | + | 55.4993i | 0.0463957 | + | 2.00266i | ||||
\(769\) | − | 33.3141i | − | 1.20134i | −0.799498 | − | 0.600668i | \(-0.794901\pi\) | ||
0.799498 | − | 0.600668i | \(-0.205099\pi\) | |||||||
\(770\) | 25.2119 | + | 3.82830i | 0.908574 | + | 0.137962i | ||||
\(771\) | −27.3657 | − | 44.9606i | −0.985550 | − | 1.61922i | ||||
\(772\) | −51.7754 | − | 29.8925i | −1.86344 | − | 1.07586i | ||||
\(773\) | 36.6610 | − | 21.1662i | 1.31860 | − | 0.761296i | 0.335099 | − | 0.942183i | \(-0.391230\pi\) |
0.983504 | + | 0.180887i | \(0.0578968\pi\) | |||||||
\(774\) | 3.50539 | + | 75.6141i | 0.125999 | + | 2.71789i | ||||
\(775\) | 0.108920 | + | 13.9245i | 0.00391253 | + | 0.500183i | ||||
\(776\) | −47.0217 | −1.68798 | ||||||||
\(777\) | 15.0178 | + | 1.98541i | 0.538760 | + | 0.0712262i | ||||
\(778\) | 85.6477i | 3.07062i | ||||||||
\(779\) | −13.0024 | − | 7.50691i | −0.465858 | − | 0.268963i | ||||
\(780\) | 3.13662 | + | 5.10824i | 0.112309 | + | 0.182904i | ||||
\(781\) | −11.3253 | − | 19.6160i | −0.405251 | − | 0.701915i | ||||
\(782\) | 13.8517 | + | 7.99727i | 0.495335 | + | 0.285982i | ||||
\(783\) | −19.5022 | + | 1.35737i | −0.696952 | + | 0.0485084i | ||||
\(784\) | 38.8328 | + | 12.4054i | 1.38689 | + | 0.443049i | ||||
\(785\) | 2.80091 | + | 1.60253i | 0.0999686 | + | 0.0571968i | ||||
\(786\) | 1.46691 | + | 63.3188i | 0.0523229 | + | 2.25851i | ||||
\(787\) | −12.9551 | − | 22.4388i | −0.461799 | − | 0.799859i | 0.537252 | − | 0.843422i | \(-0.319462\pi\) |
−0.999051 | + | 0.0435632i | \(0.986129\pi\) | |||||||
\(788\) | −4.31573 | − | 7.47506i | −0.153741 | − | 0.266288i | ||||
\(789\) | 0.775704 | + | 33.4830i | 0.0276158 | + | 1.19203i | ||||
\(790\) | −67.5129 | − | 38.6273i | −2.40200 | − | 1.37430i | ||||
\(791\) | 6.29582 | − | 7.81416i | 0.223854 | − | 0.277839i | ||||
\(792\) | 26.3029 | + | 13.6025i | 0.934633 | + | 0.483345i | ||||
\(793\) | 0.501064 | + | 0.289289i | 0.0177933 | + | 0.0102730i | ||||
\(794\) | 5.37013 | + | 9.30134i | 0.190579 | + | 0.330092i | ||||
\(795\) | 2.94736 | + | 4.80001i | 0.104532 | + | 0.170239i | ||||
\(796\) | −29.6095 | − | 17.0951i | −1.04948 | − | 0.605918i | ||||
\(797\) | − | 27.5780i | − | 0.976865i | −0.872602 | − | 0.488432i | \(-0.837569\pi\) | ||
0.872602 | − | 0.488432i | \(-0.162431\pi\) | |||||||
\(798\) | 39.8966 | − | 51.9360i | 1.41233 | − | 1.83851i | ||||
\(799\) | 14.8073 | 0.523843 | ||||||||
\(800\) | −15.5972 | + | 0.122005i | −0.551446 | + | 0.00431351i | ||||
\(801\) | −36.5842 | + | 1.69601i | −1.29264 | + | 0.0599255i | ||||
\(802\) | 27.1653 | − | 15.6839i | 0.959240 | − | 0.553818i | ||||
\(803\) | 17.3309 | + | 10.0060i | 0.611594 | + | 0.353104i | ||||
\(804\) | −9.62267 | − | 15.8096i | −0.339365 | − | 0.557563i | ||||
\(805\) | −11.5902 | − | 9.26365i | −0.408501 | − | 0.326501i | ||||
\(806\) | − | 2.51996i | − | 0.0887617i | ||||||
\(807\) | −0.882609 | − | 38.0976i | −0.0310693 | − | 1.34110i | ||||
\(808\) | −3.58065 | − | 6.20187i | −0.125967 | − | 0.218181i | ||||
\(809\) | −27.0106 | + | 15.5946i | −0.949641 | + | 0.548275i | −0.892969 | − | 0.450117i | \(-0.851382\pi\) |
−0.0566716 | + | 0.998393i | \(0.518049\pi\) | |||||||
\(810\) | 45.9395 | + | 20.9043i | 1.61415 | + | 0.734501i | ||||
\(811\) | − | 17.5174i | − | 0.615120i | −0.951529 | − | 0.307560i | \(-0.900488\pi\) | ||
0.951529 | − | 0.307560i | \(-0.0995124\pi\) | |||||||
\(812\) | −6.57572 | + | 42.1931i | −0.230763 | + | 1.48069i | ||||
\(813\) | −13.5600 | − | 22.2785i | −0.475569 | − | 0.781341i | ||||
\(814\) | 7.12443 | − | 12.3399i | 0.249711 | − | 0.432512i | ||||
\(815\) | −37.7040 | + | 0.147462i | −1.32071 | + | 0.00516536i | ||||
\(816\) | −12.3071 | + | 22.5046i | −0.430834 | + | 0.787820i | ||||
\(817\) | 28.6645 | − | 49.6483i | 1.00284 | − | 1.73697i | ||||
\(818\) | 16.1948i | 0.566237i | ||||||||
\(819\) | −2.84686 | − | 0.309465i | −0.0994773 | − | 0.0108136i | ||||
\(820\) | −21.9374 | − | 12.5514i | −0.766088 | − | 0.438315i | ||||
\(821\) | 30.7324 | + | 17.7433i | 1.07257 | + | 0.619247i | 0.928882 | − | 0.370377i | \(-0.120771\pi\) |
0.143685 | + | 0.989623i | \(0.454105\pi\) | |||||||
\(822\) | 59.8876 | + | 32.7506i | 2.08882 | + | 1.14231i | ||||
\(823\) | 26.0214 | − | 15.0235i | 0.907050 | − | 0.523686i | 0.0275693 | − | 0.999620i | \(-0.491223\pi\) |
0.879481 | + | 0.475934i | \(0.157890\pi\) | |||||||
\(824\) | −11.9056 | + | 20.6211i | −0.414752 | + | 0.718371i | ||||
\(825\) | 7.03925 | − | 13.1146i | 0.245075 | − | 0.456590i | ||||
\(826\) | −28.5527 | + | 35.4386i | −0.993474 | + | 1.23307i | ||||
\(827\) | −21.6751 | −0.753717 | −0.376859 | − | 0.926271i | \(-0.622996\pi\) | ||||
−0.376859 | + | 0.926271i | \(0.622996\pi\) | |||||||
\(828\) | −17.4158 | − | 27.1756i | −0.605240 | − | 0.944416i | ||||
\(829\) | −7.93492 | + | 4.58123i | −0.275591 | + | 0.159113i | −0.631426 | − | 0.775436i | \(-0.717530\pi\) |
0.355835 | + | 0.934549i | \(0.384197\pi\) | |||||||
\(830\) | −19.6518 | + | 0.0768590i | −0.682125 | + | 0.00266782i | ||||
\(831\) | 2.90212 | − | 0.0672336i | 0.100673 | − | 0.00233231i | ||||
\(832\) | −1.37954 | −0.0478270 | ||||||||
\(833\) | −11.9759 | − | 13.1689i | −0.414941 | − | 0.456277i | ||||
\(834\) | −33.2735 | − | 54.6669i | −1.15217 | − | 1.89296i | ||||
\(835\) | −8.11420 | − | 13.9281i | −0.280804 | − | 0.482003i | ||||
\(836\) | −21.0072 | − | 36.3856i | −0.726551 | − | 1.25842i | ||||
\(837\) | −8.08831 | − | 11.9998i | −0.279573 | − | 0.414774i | ||||
\(838\) | 12.5579 | − | 21.7509i | 0.433805 | − | 0.751372i | ||||
\(839\) | 31.7155 | 1.09494 | 0.547471 | − | 0.836825i | \(-0.315591\pi\) | ||||
0.547471 | + | 0.836825i | \(0.315591\pi\) | |||||||
\(840\) | 35.6678 | − | 46.8089i | 1.23066 | − | 1.61506i | ||||
\(841\) | 14.8452 | 0.511904 | ||||||||
\(842\) | −22.3031 | + | 38.6302i | −0.768617 | + | 1.33128i | ||||
\(843\) | −1.74592 | + | 3.19258i | −0.0601327 | + | 0.109958i | ||||
\(844\) | 10.6260 | + | 18.4047i | 0.365762 | + | 0.633518i | ||||
\(845\) | 24.8659 | − | 14.4863i | 0.855412 | − | 0.498343i | ||||
\(846\) | −38.9162 | − | 20.1255i | −1.33797 | − | 0.691928i | ||||
\(847\) | −7.67809 | − | 19.8551i | −0.263822 | − | 0.682229i | ||||
\(848\) | 8.46976 | 0.290853 | ||||||||
\(849\) | −0.200740 | − | 8.66487i | −0.00688936 | − | 0.297378i | ||||
\(850\) | 27.7391 | + | 15.7272i | 0.951444 | + | 0.539438i | ||||
\(851\) | −7.17980 | + | 4.14526i | −0.246120 | + | 0.142098i | ||||
\(852\) | −97.8988 | + | 2.26803i | −3.35396 | + | 0.0777013i | ||||
\(853\) | 10.2006 | 0.349262 | 0.174631 | − | 0.984634i | \(-0.444127\pi\) | ||||
0.174631 | + | 0.984634i | \(0.444127\pi\) | |||||||
\(854\) | 1.63862 | − | 10.5142i | 0.0560726 | − | 0.359789i | ||||
\(855\) | −20.7511 | − | 32.1029i | −0.709673 | − | 1.09790i | ||||
\(856\) | −3.18032 | + | 5.50848i | −0.108701 | + | 0.188276i | ||||
\(857\) | 1.56368 | − | 0.902790i | 0.0534142 | − | 0.0308387i | −0.473055 | − | 0.881033i | \(-0.656849\pi\) |
0.526469 | + | 0.850194i | \(0.323516\pi\) | |||||||
\(858\) | −1.29240 | + | 2.36327i | −0.0441218 | + | 0.0806807i | ||||
\(859\) | 6.67971 | + | 3.85653i | 0.227909 | + | 0.131583i | 0.609607 | − | 0.792704i | \(-0.291327\pi\) |
−0.381698 | + | 0.924287i | \(0.624661\pi\) | |||||||
\(860\) | 47.9265 | − | 83.7660i | 1.63428 | − | 2.85640i | ||||
\(861\) | 11.1574 | − | 4.61448i | 0.380244 | − | 0.157261i | ||||
\(862\) | − | 7.37109i | − | 0.251060i | ||||||
\(863\) | −11.1766 | + | 19.3584i | −0.380455 | + | 0.658967i | −0.991127 | − | 0.132916i | \(-0.957566\pi\) |
0.610673 | + | 0.791883i | \(0.290899\pi\) | |||||||
\(864\) | 13.4413 | − | 9.05994i | 0.457283 | − | 0.308226i | ||||
\(865\) | −20.0931 | + | 0.0785850i | −0.683187 | + | 0.00267197i | ||||
\(866\) | 39.7107 | − | 68.7809i | 1.34942 | − | 2.33727i | ||||
\(867\) | −15.5852 | + | 9.48604i | −0.529300 | + | 0.322163i | ||||
\(868\) | −29.4823 | + | 11.4010i | −1.00069 | + | 0.386975i | ||||
\(869\) | − | 23.8380i | − | 0.808648i | ||||||
\(870\) | 32.1314 | + | 17.4087i | 1.08936 | + | 0.590212i | ||||
\(871\) | 0.778253 | − | 0.449324i | 0.0263701 | − | 0.0152248i | ||||
\(872\) | 26.1705 | + | 45.3287i | 0.886246 | + | 1.53502i | ||||
\(873\) | −13.2531 | − | 20.6801i | −0.448549 | − | 0.699916i | ||||
\(874\) | 35.8423i | 1.21238i | ||||||||
\(875\) | −23.2504 | − | 18.2871i | −0.786009 | − | 0.618216i | ||||
\(876\) | 73.9045 | − | 44.9826i | 2.49700 | − | 1.51982i | ||||
\(877\) | −44.8106 | − | 25.8714i | −1.51315 | − | 0.873615i | −0.999882 | − | 0.0153839i | \(-0.995103\pi\) |
−0.513264 | − | 0.858231i | \(-0.671564\pi\) | |||||||
\(878\) | 46.6866 | − | 26.9545i | 1.57560 | − | 0.909671i | ||||
\(879\) | 14.3551 | − | 26.2496i | 0.484185 | − | 0.885377i | ||||
\(880\) | −11.2664 | − | 19.3388i | −0.379789 | − | 0.651912i | ||||
\(881\) | −40.9882 | −1.38093 | −0.690464 | − | 0.723367i | \(-0.742594\pi\) | ||||
−0.690464 | + | 0.723367i | \(0.742594\pi\) | |||||||
\(882\) | 13.5762 | + | 50.8877i | 0.457134 | + | 1.71348i | ||||
\(883\) | − | 10.6943i | − | 0.359891i | −0.983677 | − | 0.179945i | \(-0.942408\pi\) | ||
0.983677 | − | 0.179945i | \(-0.0575921\pi\) | |||||||
\(884\) | −3.40843 | − | 1.96786i | −0.114638 | − | 0.0661861i | ||||
\(885\) | 13.8994 | + | 22.6363i | 0.467224 | + | 0.760912i | ||||
\(886\) | 32.9415 | + | 57.0563i | 1.10669 | + | 1.91684i | ||||
\(887\) | −40.7766 | − | 23.5424i | −1.36914 | − | 0.790476i | −0.378326 | − | 0.925672i | \(-0.623500\pi\) |
−0.990819 | + | 0.135196i | \(0.956833\pi\) | |||||||
\(888\) | −17.0965 | − | 28.0888i | −0.573721 | − | 0.942599i | ||||
\(889\) | 12.3335 | + | 9.93706i | 0.413654 | + | 0.333278i | ||||
\(890\) | 59.4229 | + | 33.9987i | 1.99186 | + | 1.13964i | ||||
\(891\) | 1.43111 | + | 15.4019i | 0.0479439 | + | 0.515983i | ||||
\(892\) | 33.5760 | + | 58.1554i | 1.12421 | + | 1.94719i | ||||
\(893\) | 16.5909 | + | 28.7362i | 0.555192 | + | 0.961621i | ||||
\(894\) | −55.1646 | + | 1.27800i | −1.84498 | + | 0.0427427i | ||||
\(895\) | −12.1727 | + | 21.2755i | −0.406889 | + | 0.711161i | ||||
\(896\) | 15.1050 | + | 39.0605i | 0.504621 | + | 1.30492i | ||||
\(897\) | 1.33874 | − | 0.814836i | 0.0446993 | − | 0.0272066i | ||||
\(898\) | 78.2061 | + | 45.1523i | 2.60977 | + | 1.50675i | ||||
\(899\) | −5.23895 | − | 9.07413i | −0.174729 | − | 0.302639i | ||||
\(900\) | −35.1435 | − | 53.9050i | −1.17145 | − | 1.79683i | ||||
\(901\) | −3.20276 | − | 1.84912i | −0.106699 | − | 0.0616030i | ||||
\(902\) | − | 11.3570i | − | 0.378147i | ||||||
\(903\) | 17.6200 | + | 42.6037i | 0.586355 | + | 1.41776i | ||||
\(904\) | −21.7827 | −0.724480 | ||||||||
\(905\) | −6.07042 | − | 10.4200i | −0.201788 | − | 0.346371i | ||||
\(906\) | 63.6236 | + | 34.7937i | 2.11375 | + | 1.15594i | ||||
\(907\) | 7.55017 | − | 4.35909i | 0.250699 | − | 0.144741i | −0.369385 | − | 0.929276i | \(-0.620432\pi\) |
0.620084 | + | 0.784535i | \(0.287098\pi\) | |||||||
\(908\) | −46.8561 | − | 27.0524i | −1.55497 | − | 0.897765i | ||||
\(909\) | 1.71837 | − | 3.32277i | 0.0569947 | − | 0.110209i | ||||
\(910\) | 4.18156 | + | 3.34217i | 0.138617 | + | 0.110792i | ||||
\(911\) | 4.85314i | 0.160792i | 0.996763 | + | 0.0803958i | \(0.0256184\pi\) | ||||
−0.996763 | + | 0.0803958i | \(0.974382\pi\) | |||||||
\(912\) | −57.4639 | + | 1.33127i | −1.90282 | + | 0.0440827i | ||||
\(913\) | −3.01138 | − | 5.21587i | −0.0996622 | − | 0.172620i | ||||
\(914\) | 39.6310 | − | 22.8809i | 1.31088 | − | 0.756834i | ||||
\(915\) | −5.46098 | − | 2.95875i | −0.180534 | − | 0.0978133i | ||||
\(916\) | 25.7068i | 0.849376i | ||||||||
\(917\) | 13.9134 | + | 35.9792i | 0.459460 | + | 1.18814i | ||||
\(918\) | −33.0583 | + | 2.30088i | −1.09109 | + | 0.0759405i | ||||
\(919\) | 17.9292 | − | 31.0543i | 0.591429 | − | 1.02439i | −0.402611 | − | 0.915371i | \(-0.631897\pi\) |
0.994040 | − | 0.109014i | \(-0.0347694\pi\) | |||||||
\(920\) | 0.125964 | + | 32.2072i | 0.00415290 | + | 1.06184i | ||||
\(921\) | −15.5497 | − | 8.50365i | −0.512381 | − | 0.280205i | ||||
\(922\) | 28.6000 | − | 49.5366i | 0.941889 | − | 1.63140i | ||||
\(923\) | − | 4.75475i | − | 0.156505i | ||||||
\(924\) | 33.4963 | + | 4.42835i | 1.10195 | + | 0.145682i | ||||
\(925\) | −14.2489 | + | 8.37587i | −0.468500 | + | 0.275397i | ||||
\(926\) | 50.7629 | + | 29.3080i | 1.66817 | + | 0.963120i | ||||
\(927\) | −12.4248 | + | 0.576000i | −0.408083 | + | 0.0189183i | ||||
\(928\) | 10.1642 | − | 5.86830i | 0.333656 | − | 0.192636i | ||||
\(929\) | −12.7001 | + | 21.9973i | −0.416678 | + | 0.721707i | −0.995603 | − | 0.0936737i | \(-0.970139\pi\) |
0.578925 | + | 0.815381i | \(0.303472\pi\) | |||||||
\(930\) | 0.732302 | + | 27.0416i | 0.0240131 | + | 0.886730i | ||||
\(931\) | 12.1383 | − | 37.9967i | 0.397816 | − | 1.24529i | ||||
\(932\) | 93.5349 | 3.06384 | ||||||||
\(933\) | 0.420329 | + | 18.1434i | 0.0137610 | + | 0.593988i | ||||
\(934\) | −23.6515 | + | 13.6552i | −0.773902 | + | 0.446813i | ||||
\(935\) | 0.0382205 | + | 9.77248i | 0.00124994 | + | 0.319594i | ||||
\(936\) | 3.35400 | + | 5.23357i | 0.109629 | + | 0.171065i | ||||
\(937\) | 40.3037 | 1.31667 | 0.658333 | − | 0.752727i | \(-0.271262\pi\) | ||||
0.658333 | + | 0.752727i | \(0.271262\pi\) | |||||||
\(938\) | −12.8702 | − | 10.3695i | −0.420228 | − | 0.338576i | ||||
\(939\) | −0.379023 | + | 0.230695i | −0.0123689 | + | 0.00752846i | ||||
\(940\) | 28.1181 | + | 48.2650i | 0.917110 | + | 1.57423i | ||||
\(941\) | −9.12065 | − | 15.7974i | −0.297325 | − | 0.514982i | 0.678198 | − | 0.734879i | \(-0.262761\pi\) |
−0.975523 | + | 0.219897i | \(0.929428\pi\) | |||||||
\(942\) | 5.50016 | + | 3.00786i | 0.179205 | + | 0.0980015i | ||||
\(943\) | −3.30396 | + | 5.72264i | −0.107592 | + | 0.186355i | ||||
\(944\) | 39.9425 | 1.30002 | ||||||||
\(945\) | 30.6396 | + | 2.49357i | 0.996705 | + | 0.0811158i | ||||
\(946\) | 43.3657 | 1.40994 | ||||||||
\(947\) | −9.42425 | + | 16.3233i | −0.306247 | + | 0.530435i | −0.977538 | − | 0.210759i | \(-0.932407\pi\) |
0.671291 | + | 0.741194i | \(0.265740\pi\) | |||||||
\(948\) | −90.4208 | − | 49.4483i | −2.93673 | − | 1.60601i | ||||
\(949\) | 2.10043 | + | 3.63806i | 0.0681830 | + | 0.118096i | ||||
\(950\) | 0.558931 | + | 71.4545i | 0.0181341 | + | 2.31829i | ||||
\(951\) | −45.7747 | + | 27.8612i | −1.48435 | + | 0.903461i | ||||
\(952\) | −5.94996 | + | 38.1778i | −0.192839 | + | 1.23735i | ||||
\(953\) | 25.3110 | 0.819903 | 0.409952 | − | 0.912107i | \(-0.365546\pi\) | ||||
0.409952 | + | 0.912107i | \(0.365546\pi\) | |||||||
\(954\) | 5.90419 | + | 9.21289i | 0.191155 | + | 0.298278i | ||||
\(955\) | 47.6682 | − | 0.186432i | 1.54251 | − | 0.00603280i | ||||
\(956\) | 92.5341 | − | 53.4246i | 2.99277 | − | 1.72787i | ||||
\(957\) | 0.259397 | + | 11.1968i | 0.00838511 | + | 0.361941i | ||||
\(958\) | 25.7737 | 0.832712 | ||||||||
\(959\) | 41.0777 | + | 6.40189i | 1.32647 | + | 0.206728i | ||||
\(960\) | 14.8038 | − | 0.400896i | 0.477792 | − | 0.0129389i | ||||
\(961\) | −11.6219 | + | 20.1298i | −0.374901 | + | 0.649347i | ||||
\(962\) | 2.59035 | − | 1.49554i | 0.0835164 | − | 0.0482182i | ||||
\(963\) | −3.31901 | + | 0.153866i | −0.106953 | + | 0.00495825i | ||||
\(964\) | −63.2570 | − | 36.5214i | −2.03737 | − | 1.17628i | ||||
\(965\) | −15.4754 | + | 27.0479i | −0.498170 | + | 0.870702i | ||||
\(966\) | −22.8582 | − | 17.5594i | −0.735451 | − | 0.564965i | ||||
\(967\) | 32.2840i | 1.03818i | 0.854718 | + | 0.519092i | \(0.173730\pi\) | ||||
−0.854718 | + | 0.519092i | \(0.826270\pi\) | |||||||
\(968\) | −23.1049 | + | 40.0188i | −0.742619 | + | 1.28625i | ||||
\(969\) | 22.0201 | + | 12.0421i | 0.707387 | + | 0.386848i | ||||
\(970\) | 0.179575 | + | 45.9150i | 0.00576581 | + | 1.47424i | ||||
\(971\) | 0.693916 | − | 1.20190i | 0.0222688 | − | 0.0385707i | −0.854676 | − | 0.519161i | \(-0.826244\pi\) |
0.876945 | + | 0.480591i | \(0.159578\pi\) | |||||||
\(972\) | 61.3901 | + | 26.5205i | 1.96909 | + | 0.850645i | ||||
\(973\) | −30.3525 | − | 24.4548i | −0.973056 | − | 0.783986i | ||||
\(974\) | − | 34.7293i | − | 1.11280i | ||||||
\(975\) | 2.65618 | − | 1.64532i | 0.0850658 | − | 0.0526923i | ||||
\(976\) | −8.08813 | + | 4.66968i | −0.258895 | + | 0.149473i | ||||
\(977\) | −28.9058 | − | 50.0663i | −0.924779 | − | 1.60176i | −0.791916 | − | 0.610630i | \(-0.790916\pi\) |
−0.132863 | − | 0.991134i | \(-0.542417\pi\) | |||||||
\(978\) | −73.2274 | + | 1.69646i | −2.34155 | + | 0.0542469i | ||||
\(979\) | 20.9815i | 0.670572i | ||||||||
\(980\) | 20.1833 | − | 64.0431i | 0.644731 | − | 2.04578i | ||||
\(981\) | −12.5593 | + | 24.2857i | −0.400989 | + | 0.775383i | ||||
\(982\) | −29.5346 | − | 17.0518i | −0.942487 | − | 0.544145i | ||||
\(983\) | −22.5265 | + | 13.0057i | −0.718485 | + | 0.414818i | −0.814195 | − | 0.580592i | \(-0.802821\pi\) |
0.0957097 | + | 0.995409i | \(0.469488\pi\) | |||||||
\(984\) | −22.9951 | − | 12.5753i | −0.733058 | − | 0.400886i | ||||
\(985\) | −3.88743 | + | 2.26473i | −0.123864 | + | 0.0721602i | ||||
\(986\) | −23.9938 | −0.764119 | ||||||||
\(987\) | −26.4543 | − | 3.49737i | −0.842051 | − | 0.111323i | ||||
\(988\) | − | 8.81958i | − | 0.280588i | ||||||
\(989\) | −21.8514 | − | 12.6159i | −0.694833 | − | 0.401162i | ||||
\(990\) | 13.1819 | − | 25.7358i | 0.418950 | − | 0.817937i | ||||
\(991\) | 18.1162 | + | 31.3782i | 0.575480 | + | 0.996760i | 0.995989 | + | 0.0894720i | \(0.0285180\pi\) |
−0.420510 | + | 0.907288i | \(0.638149\pi\) | |||||||
\(992\) | 7.52393 | + | 4.34394i | 0.238885 | + | 0.137920i | ||||
\(993\) | 12.3971 | − | 7.54560i | 0.393410 | − | 0.239452i | ||||
\(994\) | −81.5627 | + | 31.5408i | −2.58701 | + | 1.00041i | ||||
\(995\) | −8.85011 | + | 15.4682i | −0.280567 | + | 0.490376i | ||||
\(996\) | −26.0312 | + | 0.603066i | −0.824829 | + | 0.0191089i | ||||
\(997\) | 17.2974 | + | 29.9600i | 0.547814 | + | 0.948842i | 0.998424 | + | 0.0561210i | \(0.0178733\pi\) |
−0.450610 | + | 0.892721i | \(0.648793\pi\) | |||||||
\(998\) | −45.4080 | − | 78.6490i | −1.43737 | − | 2.48959i | ||||
\(999\) | 7.53479 | − | 15.4359i | 0.238390 | − | 0.488370i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))