Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(5,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.bk (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 131.14 | ||
Character | \(\chi\) | \(=\) | 882.131 |
Dual form | 882.2.bk.a.101.14 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{41}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.781831 | − | 0.623490i | −0.552838 | − | 0.440874i | ||||
\(3\) | −0.242548 | + | 1.71498i | −0.140035 | + | 0.990147i | ||||
\(4\) | 0.222521 | + | 0.974928i | 0.111260 | + | 0.487464i | ||||
\(5\) | −0.249299 | − | 3.32667i | −0.111490 | − | 1.48773i | −0.719884 | − | 0.694095i | \(-0.755805\pi\) |
0.608394 | − | 0.793635i | \(-0.291814\pi\) | |||||||
\(6\) | 1.25891 | − | 1.18960i | 0.513946 | − | 0.485653i | ||||
\(7\) | 2.64448 | − | 0.0819252i | 0.999520 | − | 0.0309648i | ||||
\(8\) | 0.433884 | − | 0.900969i | 0.153401 | − | 0.318541i | ||||
\(9\) | −2.88234 | − | 0.831931i | −0.960780 | − | 0.277310i | ||||
\(10\) | −1.87923 | + | 2.75633i | −0.594265 | + | 0.871627i | ||||
\(11\) | −4.54704 | + | 1.78458i | −1.37098 | + | 0.538071i | −0.932663 | − | 0.360748i | \(-0.882522\pi\) |
−0.438320 | + | 0.898819i | \(0.644426\pi\) | |||||||
\(12\) | −1.72596 | + | 0.145153i | −0.498241 | + | 0.0419022i | ||||
\(13\) | −4.62858 | + | 1.81658i | −1.28374 | + | 0.503829i | −0.906468 | − | 0.422275i | \(-0.861232\pi\) |
−0.377268 | + | 0.926104i | \(0.623136\pi\) | |||||||
\(14\) | −2.11862 | − | 1.58476i | −0.566225 | − | 0.423544i | ||||
\(15\) | 5.76565 | + | 0.379331i | 1.48868 | + | 0.0979428i | ||||
\(16\) | −0.900969 | + | 0.433884i | −0.225242 | + | 0.108471i | ||||
\(17\) | −3.86932 | + | 1.19353i | −0.938448 | + | 0.289473i | −0.725996 | − | 0.687699i | \(-0.758621\pi\) |
−0.212452 | + | 0.977172i | \(0.568145\pi\) | |||||||
\(18\) | 1.73480 | + | 2.44754i | 0.408897 | + | 0.576891i | ||||
\(19\) | 7.24954 | + | 4.18553i | 1.66316 | + | 0.960226i | 0.971193 | + | 0.238296i | \(0.0765889\pi\) |
0.691967 | + | 0.721929i | \(0.256744\pi\) | |||||||
\(20\) | 3.18778 | − | 0.983301i | 0.712810 | − | 0.219873i | ||||
\(21\) | −0.500913 | + | 4.55512i | −0.109308 | + | 0.994008i | ||||
\(22\) | 4.66768 | + | 1.43979i | 0.995154 | + | 0.306964i | ||||
\(23\) | 1.38432 | + | 1.49194i | 0.288651 | + | 0.311092i | 0.860685 | − | 0.509138i | \(-0.170036\pi\) |
−0.572034 | + | 0.820230i | \(0.693845\pi\) | |||||||
\(24\) | 1.43991 | + | 0.962632i | 0.293920 | + | 0.196496i | ||||
\(25\) | −6.06040 | + | 0.913458i | −1.21208 | + | 0.182692i | ||||
\(26\) | 4.75139 | + | 1.46561i | 0.931823 | + | 0.287429i | ||||
\(27\) | 2.12585 | − | 4.74139i | 0.409121 | − | 0.912480i | ||||
\(28\) | 0.668324 | + | 2.55995i | 0.126301 | + | 0.483785i | ||||
\(29\) | 1.06734 | + | 3.46022i | 0.198199 | + | 0.642546i | 0.999046 | + | 0.0436764i | \(0.0139071\pi\) |
−0.800847 | + | 0.598870i | \(0.795617\pi\) | |||||||
\(30\) | −4.27125 | − | 3.89139i | −0.779821 | − | 0.710468i | ||||
\(31\) | 4.94097i | 0.887424i | 0.896170 | + | 0.443712i | \(0.146339\pi\) | ||||
−0.896170 | + | 0.443712i | \(0.853661\pi\) | |||||||
\(32\) | 0.974928 | + | 0.222521i | 0.172345 | + | 0.0393365i | ||||
\(33\) | −1.95765 | − | 8.23094i | −0.340784 | − | 1.43282i | ||||
\(34\) | 3.76931 | + | 1.47934i | 0.646431 | + | 0.253706i | ||||
\(35\) | −0.931805 | − | 8.77689i | −0.157504 | − | 1.48356i | ||||
\(36\) | 0.169691 | − | 2.99520i | 0.0282819 | − | 0.499199i | ||||
\(37\) | 0.886574 | + | 0.822621i | 0.145752 | + | 0.135238i | 0.749679 | − | 0.661801i | \(-0.230208\pi\) |
−0.603927 | + | 0.797039i | \(0.706398\pi\) | |||||||
\(38\) | −3.05829 | − | 7.79239i | −0.496120 | − | 1.26409i | ||||
\(39\) | −1.99276 | − | 8.37854i | −0.319097 | − | 1.34164i | ||||
\(40\) | −3.10539 | − | 1.21878i | −0.491005 | − | 0.192705i | ||||
\(41\) | −1.77529 | + | 1.21037i | −0.277254 | + | 0.189029i | −0.693962 | − | 0.720012i | \(-0.744136\pi\) |
0.416707 | + | 0.909041i | \(0.363184\pi\) | |||||||
\(42\) | 3.23170 | − | 3.24902i | 0.498662 | − | 0.501335i | ||||
\(43\) | 6.65895 | + | 4.53999i | 1.01548 | + | 0.692343i | 0.952144 | − | 0.305650i | \(-0.0988736\pi\) |
0.0633360 | + | 0.997992i | \(0.479826\pi\) | |||||||
\(44\) | −2.75165 | − | 4.03593i | −0.414827 | − | 0.608439i | ||||
\(45\) | −2.04899 | + | 9.79598i | −0.305445 | + | 1.46030i | ||||
\(46\) | −0.152094 | − | 2.02956i | −0.0224251 | − | 0.299242i | ||||
\(47\) | −4.91816 | + | 6.16718i | −0.717388 | + | 0.899576i | −0.998187 | − | 0.0601906i | \(-0.980829\pi\) |
0.280799 | + | 0.959767i | \(0.409401\pi\) | |||||||
\(48\) | −0.525576 | − | 1.65038i | −0.0758603 | − | 0.238213i | ||||
\(49\) | 6.98658 | − | 0.433300i | 0.998082 | − | 0.0619000i | ||||
\(50\) | 5.30774 | + | 3.06443i | 0.750628 | + | 0.433375i | ||||
\(51\) | −1.10839 | − | 6.92531i | −0.155205 | − | 0.969738i | ||||
\(52\) | −2.80099 | − | 4.10830i | −0.388428 | − | 0.569719i | ||||
\(53\) | 6.40114 | + | 6.89879i | 0.879265 | + | 0.947622i | 0.998979 | − | 0.0451864i | \(-0.0143882\pi\) |
−0.119714 | + | 0.992808i | \(0.538198\pi\) | |||||||
\(54\) | −4.61827 | + | 2.38152i | −0.628466 | + | 0.324084i | ||||
\(55\) | 7.07028 | + | 14.6816i | 0.953356 | + | 1.97966i | ||||
\(56\) | 1.07359 | − | 2.41814i | 0.143464 | − | 0.323138i | ||||
\(57\) | −8.93647 | + | 11.4177i | −1.18366 | + | 1.51231i | ||||
\(58\) | 1.32293 | − | 3.37078i | 0.173710 | − | 0.442605i | ||||
\(59\) | −2.43139 | + | 1.17090i | −0.316540 | + | 0.152438i | −0.585407 | − | 0.810740i | \(-0.699065\pi\) |
0.268867 | + | 0.963177i | \(0.413351\pi\) | |||||||
\(60\) | 0.913157 | + | 5.70550i | 0.117888 | + | 0.736577i | ||||
\(61\) | −8.51672 | − | 1.94389i | −1.09045 | − | 0.248889i | −0.360758 | − | 0.932660i | \(-0.617482\pi\) |
−0.729697 | + | 0.683770i | \(0.760339\pi\) | |||||||
\(62\) | 3.08064 | − | 3.86300i | 0.391242 | − | 0.490602i | ||||
\(63\) | −7.69046 | − | 1.96389i | −0.968907 | − | 0.247427i | ||||
\(64\) | −0.623490 | − | 0.781831i | −0.0779362 | − | 0.0977289i | ||||
\(65\) | 7.19706 | + | 14.9448i | 0.892685 | + | 1.85368i | ||||
\(66\) | −3.60135 | + | 7.65579i | −0.443296 | + | 0.942362i | ||||
\(67\) | −16.0140 | −1.95642 | −0.978211 | − | 0.207614i | \(-0.933430\pi\) | ||||
−0.978211 | + | 0.207614i | \(0.933430\pi\) | |||||||
\(68\) | −2.02461 | − | 3.50672i | −0.245520 | − | 0.425253i | ||||
\(69\) | −2.89442 | + | 2.01222i | −0.348448 | + | 0.242243i | ||||
\(70\) | −4.74378 | + | 7.44302i | −0.566991 | + | 0.889611i | ||||
\(71\) | 1.57169 | − | 0.358727i | 0.186525 | − | 0.0425731i | −0.128238 | − | 0.991743i | \(-0.540932\pi\) |
0.314763 | + | 0.949170i | \(0.398075\pi\) | |||||||
\(72\) | −2.00014 | + | 2.23594i | −0.235719 | + | 0.263508i | ||||
\(73\) | 3.01894 | + | 1.18485i | 0.353340 | + | 0.138676i | 0.535371 | − | 0.844617i | \(-0.320172\pi\) |
−0.182031 | + | 0.983293i | \(0.558267\pi\) | |||||||
\(74\) | −0.180256 | − | 1.19592i | −0.0209543 | − | 0.139023i | ||||
\(75\) | −0.0966307 | − | 10.6150i | −0.0111580 | − | 1.22572i | ||||
\(76\) | −2.46741 | + | 7.99915i | −0.283031 | + | 0.917565i | ||||
\(77\) | −11.8784 | + | 5.09181i | −1.35366 | + | 0.580266i | ||||
\(78\) | −3.66593 | + | 7.79307i | −0.415085 | + | 0.882392i | ||||
\(79\) | −7.87304 | −0.885786 | −0.442893 | − | 0.896575i | \(-0.646048\pi\) | ||||
−0.442893 | + | 0.896575i | \(0.646048\pi\) | |||||||
\(80\) | 1.66800 | + | 2.88906i | 0.186488 | + | 0.323006i | ||||
\(81\) | 7.61578 | + | 4.79582i | 0.846198 | + | 0.532869i | ||||
\(82\) | 2.14264 | + | 0.160568i | 0.236615 | + | 0.0177318i | ||||
\(83\) | 1.41829 | − | 3.61375i | 0.155678 | − | 0.396661i | −0.831661 | − | 0.555283i | \(-0.812610\pi\) |
0.987339 | + | 0.158622i | \(0.0507052\pi\) | |||||||
\(84\) | −4.55237 | + | 0.525255i | −0.496705 | + | 0.0573100i | ||||
\(85\) | 4.93509 | + | 12.5744i | 0.535285 | + | 1.36388i | ||||
\(86\) | −2.37554 | − | 7.70130i | −0.256161 | − | 0.830452i | ||||
\(87\) | −6.19310 | + | 0.991196i | −0.663970 | + | 0.106267i | ||||
\(88\) | −0.365034 | + | 4.87104i | −0.0389128 | + | 0.519255i | ||||
\(89\) | 1.51443 | − | 0.228264i | 0.160529 | − | 0.0241959i | −0.0682857 | − | 0.997666i | \(-0.521753\pi\) |
0.228815 | + | 0.973470i | \(0.426515\pi\) | |||||||
\(90\) | 7.70966 | − | 6.38128i | 0.812670 | − | 0.672646i | ||||
\(91\) | −12.0914 | + | 5.18312i | −1.26752 | + | 0.543338i | ||||
\(92\) | −1.14650 | + | 1.68160i | −0.119531 | + | 0.175319i | ||||
\(93\) | −8.47368 | − | 1.19842i | −0.878679 | − | 0.124270i | ||||
\(94\) | 7.69035 | − | 1.75527i | 0.793199 | − | 0.181043i | ||||
\(95\) | 12.1165 | − | 25.1603i | 1.24313 | − | 2.58139i | ||||
\(96\) | −0.618086 | + | 1.61801i | −0.0630832 | + | 0.165138i | ||||
\(97\) | 1.11935 | − | 0.646260i | 0.113653 | − | 0.0656177i | −0.442096 | − | 0.896968i | \(-0.645765\pi\) |
0.555749 | + | 0.831350i | \(0.312432\pi\) | |||||||
\(98\) | −5.73248 | − | 4.01729i | −0.579068 | − | 0.405808i | ||||
\(99\) | 14.5908 | − | 1.36095i | 1.46643 | − | 0.136781i | ||||
\(100\) | −2.23912 | − | 5.70519i | −0.223912 | − | 0.570519i | ||||
\(101\) | −2.13708 | + | 1.45704i | −0.212647 | + | 0.144981i | −0.664960 | − | 0.746879i | \(-0.731551\pi\) |
0.452313 | + | 0.891859i | \(0.350599\pi\) | |||||||
\(102\) | −3.45129 | + | 6.10549i | −0.341729 | + | 0.604534i | ||||
\(103\) | −0.176088 | + | 0.0131960i | −0.0173505 | + | 0.00130024i | −0.0834025 | − | 0.996516i | \(-0.526579\pi\) |
0.0660520 | + | 0.997816i | \(0.478960\pi\) | |||||||
\(104\) | −0.371580 | + | 4.95839i | −0.0364364 | + | 0.486210i | ||||
\(105\) | 15.2782 | + | 0.530782i | 1.49100 | + | 0.0517990i | ||||
\(106\) | −0.703289 | − | 9.38474i | −0.0683095 | − | 0.911527i | ||||
\(107\) | 0.714793 | + | 4.74234i | 0.0691016 | + | 0.458459i | 0.996445 | + | 0.0842475i | \(0.0268486\pi\) |
−0.927343 | + | 0.374212i | \(0.877913\pi\) | |||||||
\(108\) | 5.09556 | + | 1.01750i | 0.490320 | + | 0.0979086i | ||||
\(109\) | −17.0061 | − | 2.56325i | −1.62889 | − | 0.245515i | −0.729919 | − | 0.683533i | \(-0.760442\pi\) |
−0.898966 | + | 0.438018i | \(0.855680\pi\) | |||||||
\(110\) | 3.62605 | − | 15.8868i | 0.345730 | − | 1.51474i | ||||
\(111\) | −1.62582 | + | 1.32094i | −0.154316 | + | 0.125378i | ||||
\(112\) | −2.34705 | + | 1.22121i | −0.221775 | + | 0.115394i | ||||
\(113\) | −1.83430 | − | 12.1698i | −0.172557 | − | 1.14484i | −0.892580 | − | 0.450890i | \(-0.851107\pi\) |
0.720023 | − | 0.693950i | \(-0.244131\pi\) | |||||||
\(114\) | 14.1056 | − | 3.35489i | 1.32111 | − | 0.314214i | ||||
\(115\) | 4.61809 | − | 4.97711i | 0.430639 | − | 0.464118i | ||||
\(116\) | −3.13596 | + | 1.81055i | −0.291166 | + | 0.168105i | ||||
\(117\) | 14.8524 | − | 1.38535i | 1.37311 | − | 0.128076i | ||||
\(118\) | 2.63098 | + | 0.600504i | 0.242201 | + | 0.0552809i | ||||
\(119\) | −10.1346 | + | 3.47326i | −0.929035 | + | 0.318393i | ||||
\(120\) | 2.84339 | − | 5.03008i | 0.259564 | − | 0.459182i | ||||
\(121\) | 9.42725 | − | 8.74721i | 0.857023 | − | 0.795201i | ||||
\(122\) | 5.44665 | + | 6.82988i | 0.493116 | + | 0.618349i | ||||
\(123\) | −1.64518 | − | 3.33817i | −0.148341 | − | 0.300993i | ||||
\(124\) | −4.81708 | + | 1.09947i | −0.432587 | + | 0.0987352i | ||||
\(125\) | 0.837980 | + | 3.67143i | 0.0749512 | + | 0.328383i | ||||
\(126\) | 4.78818 | + | 6.33035i | 0.426565 | + | 0.563953i | ||||
\(127\) | 0.583680 | − | 2.55727i | 0.0517932 | − | 0.226921i | −0.942407 | − | 0.334469i | \(-0.891443\pi\) |
0.994200 | + | 0.107548i | \(0.0343001\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −9.40113 | + | 10.3188i | −0.827723 | + | 0.908522i | ||||
\(130\) | 3.69107 | − | 16.1716i | 0.323728 | − | 1.41835i | ||||
\(131\) | 5.13740 | + | 3.50262i | 0.448856 | + | 0.306025i | 0.766569 | − | 0.642162i | \(-0.221962\pi\) |
−0.317713 | + | 0.948187i | \(0.602915\pi\) | |||||||
\(132\) | 7.58896 | − | 3.74013i | 0.660534 | − | 0.325536i | ||||
\(133\) | 19.5142 | + | 10.4746i | 1.69210 | + | 0.908266i | ||||
\(134\) | 12.5203 | + | 9.98457i | 1.08158 | + | 0.862535i | ||||
\(135\) | −16.3030 | − | 5.88998i | −1.40314 | − | 0.506929i | ||||
\(136\) | −0.603504 | + | 4.00399i | −0.0517501 | + | 0.343339i | ||||
\(137\) | 8.21414 | + | 0.615564i | 0.701781 | + | 0.0525912i | 0.420841 | − | 0.907134i | \(-0.361735\pi\) |
0.280940 | + | 0.959725i | \(0.409354\pi\) | |||||||
\(138\) | 3.51755 | + | 0.231425i | 0.299434 | + | 0.0197002i | ||||
\(139\) | −9.12929 | − | 13.3902i | −0.774337 | − | 1.13574i | −0.987329 | − | 0.158689i | \(-0.949273\pi\) |
0.212992 | − | 0.977054i | \(-0.431679\pi\) | |||||||
\(140\) | 8.34948 | − | 2.86148i | 0.705660 | − | 0.241839i | ||||
\(141\) | −9.38373 | − | 9.93041i | −0.790253 | − | 0.836291i | ||||
\(142\) | −1.45246 | − | 0.699466i | −0.121887 | − | 0.0586979i | ||||
\(143\) | 17.8045 | − | 16.5201i | 1.48888 | − | 1.38148i | ||||
\(144\) | 2.95786 | − | 0.501057i | 0.246488 | − | 0.0417548i | ||||
\(145\) | 11.2449 | − | 4.41330i | 0.933838 | − | 0.366504i | ||||
\(146\) | −1.62156 | − | 2.80863i | −0.134201 | − | 0.232444i | ||||
\(147\) | −0.951476 | + | 12.0870i | −0.0784764 | + | 0.996916i | ||||
\(148\) | −0.604714 | + | 1.04740i | −0.0497072 | + | 0.0860954i | ||||
\(149\) | −1.81981 | + | 12.0737i | −0.149085 | + | 0.989114i | 0.781728 | + | 0.623619i | \(0.214338\pi\) |
−0.930813 | + | 0.365495i | \(0.880900\pi\) | |||||||
\(150\) | −6.54282 | + | 8.35942i | −0.534219 | + | 0.682544i | ||||
\(151\) | 8.64864 | + | 2.66775i | 0.703816 | + | 0.217099i | 0.625948 | − | 0.779865i | \(-0.284712\pi\) |
0.0778686 | + | 0.996964i | \(0.475189\pi\) | |||||||
\(152\) | 6.91649 | − | 4.71558i | 0.561001 | − | 0.382484i | ||||
\(153\) | 12.1456 | − | 0.221146i | 0.981917 | − | 0.0178786i | ||||
\(154\) | 12.4616 | + | 3.42510i | 1.00418 | + | 0.276002i | ||||
\(155\) | 16.4369 | − | 1.23178i | 1.32025 | − | 0.0989388i | ||||
\(156\) | 7.72504 | − | 3.80720i | 0.618498 | − | 0.304820i | ||||
\(157\) | −7.22710 | − | 15.0072i | −0.576785 | − | 1.19771i | −0.961534 | − | 0.274686i | \(-0.911426\pi\) |
0.384749 | − | 0.923021i | \(-0.374288\pi\) | |||||||
\(158\) | 6.15539 | + | 4.90876i | 0.489696 | + | 0.390520i | ||||
\(159\) | −13.3839 | + | 9.30457i | −1.06141 | + | 0.737901i | ||||
\(160\) | 0.497204 | − | 3.29873i | 0.0393074 | − | 0.260788i | ||||
\(161\) | 3.78304 | + | 3.83201i | 0.298145 | + | 0.302004i | ||||
\(162\) | −2.96412 | − | 8.49788i | −0.232883 | − | 0.667657i | ||||
\(163\) | −1.19830 | + | 15.9902i | −0.0938579 | + | 1.25245i | 0.729125 | + | 0.684380i | \(0.239927\pi\) |
−0.822983 | + | 0.568066i | \(0.807692\pi\) | |||||||
\(164\) | −1.57507 | − | 1.46145i | −0.122992 | − | 0.114120i | ||||
\(165\) | −26.8936 | + | 8.56443i | −2.09366 | + | 0.666740i | ||||
\(166\) | −3.36200 | + | 1.94105i | −0.260942 | + | 0.150655i | ||||
\(167\) | −16.2358 | − | 15.0646i | −1.25636 | − | 1.16574i | −0.978753 | − | 0.205042i | \(-0.934267\pi\) |
−0.277611 | − | 0.960694i | \(-0.589543\pi\) | |||||||
\(168\) | 3.88668 | + | 2.42770i | 0.299864 | + | 0.187301i | ||||
\(169\) | 8.59406 | − | 7.97413i | 0.661082 | − | 0.613394i | ||||
\(170\) | 3.98160 | − | 12.9080i | 0.305375 | − | 0.990001i | ||||
\(171\) | −17.4136 | − | 18.0952i | −1.33165 | − | 1.38378i | ||||
\(172\) | −2.94441 | + | 7.50224i | −0.224509 | + | 0.572040i | ||||
\(173\) | −1.75325 | − | 7.68148i | −0.133297 | − | 0.584012i | −0.996819 | − | 0.0797009i | \(-0.974603\pi\) |
0.863522 | − | 0.504311i | \(-0.168254\pi\) | |||||||
\(174\) | 5.45996 | + | 3.08638i | 0.413918 | + | 0.233978i | ||||
\(175\) | −15.9518 | + | 2.91212i | −1.20584 | + | 0.220136i | ||||
\(176\) | 3.32244 | − | 3.58074i | 0.250438 | − | 0.269908i | ||||
\(177\) | −1.41834 | − | 4.45379i | −0.106609 | − | 0.334768i | ||||
\(178\) | −1.32635 | − | 0.765769i | −0.0994142 | − | 0.0573968i | ||||
\(179\) | 7.37543 | + | 23.9105i | 0.551265 | + | 1.78716i | 0.614211 | + | 0.789141i | \(0.289474\pi\) |
−0.0629461 | + | 0.998017i | \(0.520050\pi\) | |||||||
\(180\) | −10.0063 | + | 0.182194i | −0.745827 | + | 0.0135799i | ||||
\(181\) | −19.0046 | + | 15.1557i | −1.41260 | + | 1.12651i | −0.438943 | + | 0.898515i | \(0.644647\pi\) |
−0.973661 | + | 0.227999i | \(0.926782\pi\) | |||||||
\(182\) | 12.6850 | + | 3.48652i | 0.940277 | + | 0.258438i | ||||
\(183\) | 5.39945 | − | 14.1346i | 0.399139 | − | 1.04486i | ||||
\(184\) | 1.94483 | − | 0.599900i | 0.143375 | − | 0.0442252i | ||||
\(185\) | 2.51556 | − | 3.15441i | 0.184948 | − | 0.231917i | ||||
\(186\) | 5.87779 | + | 6.22021i | 0.430980 | + | 0.456088i | ||||
\(187\) | 15.4640 | − | 12.3321i | 1.13084 | − | 0.901815i | ||||
\(188\) | −7.10695 | − | 3.42253i | −0.518328 | − | 0.249614i | ||||
\(189\) | 5.23334 | − | 12.7127i | 0.380670 | − | 0.924711i | ||||
\(190\) | −25.1603 | + | 12.1165i | −1.82532 | + | 0.879026i | ||||
\(191\) | 3.79644 | − | 7.88338i | 0.274700 | − | 0.570421i | −0.717284 | − | 0.696781i | \(-0.754615\pi\) |
0.991985 | + | 0.126359i | \(0.0403293\pi\) | |||||||
\(192\) | 1.49205 | − | 0.879644i | 0.107680 | − | 0.0634828i | ||||
\(193\) | 14.4737 | + | 6.97019i | 1.04184 | + | 0.501725i | 0.874932 | − | 0.484247i | \(-0.160906\pi\) |
0.166912 | + | 0.985972i | \(0.446621\pi\) | |||||||
\(194\) | −1.27808 | − | 0.192640i | −0.0917610 | − | 0.0138308i | ||||
\(195\) | −27.3758 | + | 8.71801i | −1.96042 | + | 0.624309i | ||||
\(196\) | 1.97710 | + | 6.71499i | 0.141221 | + | 0.479642i | ||||
\(197\) | 8.36687i | 0.596115i | 0.954548 | + | 0.298058i | \(0.0963387\pi\) | ||||
−0.954548 | + | 0.298058i | \(0.903661\pi\) | |||||||
\(198\) | −12.2561 | − | 8.03316i | −0.871000 | − | 0.570892i | ||||
\(199\) | 15.3682 | − | 1.15169i | 1.08943 | − | 0.0816411i | 0.482116 | − | 0.876107i | \(-0.339868\pi\) |
0.607309 | + | 0.794466i | \(0.292249\pi\) | |||||||
\(200\) | −1.80651 | + | 5.85657i | −0.127740 | + | 0.414122i | ||||
\(201\) | 3.88416 | − | 27.4638i | 0.273967 | − | 1.93714i | ||||
\(202\) | 2.57928 | + | 0.193291i | 0.181478 | + | 0.0135999i | ||||
\(203\) | 3.10603 | + | 9.06304i | 0.218000 | + | 0.636101i | ||||
\(204\) | 6.50504 | − | 2.62162i | 0.455444 | − | 0.183550i | ||||
\(205\) | 4.46909 | + | 5.60406i | 0.312135 | + | 0.391405i | ||||
\(206\) | 0.145899 | + | 0.0994722i | 0.0101653 | + | 0.00693056i | ||||
\(207\) | −2.74889 | − | 5.45195i | −0.191061 | − | 0.378937i | ||||
\(208\) | 3.38202 | − | 3.64495i | 0.234501 | − | 0.252732i | ||||
\(209\) | −40.4334 | − | 6.09435i | −2.79683 | − | 0.421555i | ||||
\(210\) | −11.6141 | − | 9.94080i | −0.801446 | − | 0.685980i | ||||
\(211\) | 23.8955 | − | 3.60167i | 1.64504 | − | 0.247949i | 0.739790 | − | 0.672837i | \(-0.234925\pi\) |
0.905246 | + | 0.424888i | \(0.139687\pi\) | |||||||
\(212\) | −5.30144 | + | 7.77578i | −0.364104 | + | 0.534043i | ||||
\(213\) | 0.234003 | + | 2.78243i | 0.0160336 | + | 0.190649i | ||||
\(214\) | 2.39795 | − | 4.15338i | 0.163921 | − | 0.283919i | ||||
\(215\) | 13.4430 | − | 23.2839i | 0.916803 | − | 1.58795i | ||||
\(216\) | −3.34947 | − | 3.97254i | −0.227902 | − | 0.270297i | ||||
\(217\) | 0.404790 | + | 13.0663i | 0.0274789 | + | 0.886998i | ||||
\(218\) | 11.6977 | + | 12.6071i | 0.792269 | + | 0.853863i | ||||
\(219\) | −2.76423 | + | 4.89005i | −0.186789 | + | 0.330439i | ||||
\(220\) | −12.7402 | + | 10.1600i | −0.858944 | + | 0.684985i | ||||
\(221\) | 15.7413 | − | 12.5533i | 1.05887 | − | 0.844424i | ||||
\(222\) | 2.09471 | − | 0.0190685i | 0.140587 | − | 0.00127979i | ||||
\(223\) | −1.32490 | − | 1.42791i | −0.0887221 | − | 0.0956196i | 0.687130 | − | 0.726534i | \(-0.258870\pi\) |
−0.775852 | + | 0.630915i | \(0.782680\pi\) | |||||||
\(224\) | 2.59641 | + | 0.508582i | 0.173480 | + | 0.0339810i | ||||
\(225\) | 18.2281 | + | 2.40893i | 1.21520 | + | 0.160596i | ||||
\(226\) | −6.15364 | + | 10.6584i | −0.409334 | + | 0.708987i | ||||
\(227\) | 5.09244 | − | 8.82036i | 0.337997 | − | 0.585428i | −0.646059 | − | 0.763288i | \(-0.723584\pi\) |
0.984056 | + | 0.177860i | \(0.0569173\pi\) | |||||||
\(228\) | −13.1199 | − | 6.17175i | −0.868890 | − | 0.408734i | ||||
\(229\) | −7.75833 | + | 11.3794i | −0.512685 | + | 0.751970i | −0.992077 | − | 0.125630i | \(-0.959905\pi\) |
0.479392 | + | 0.877601i | \(0.340857\pi\) | |||||||
\(230\) | −6.71374 | + | 1.01193i | −0.442691 | + | 0.0667249i | ||||
\(231\) | −5.85130 | − | 21.6062i | −0.384988 | − | 1.42158i | ||||
\(232\) | 3.58065 | + | 0.539696i | 0.235081 | + | 0.0354328i | ||||
\(233\) | 13.2724 | − | 14.3042i | 0.869502 | − | 0.937100i | −0.129010 | − | 0.991643i | \(-0.541180\pi\) |
0.998511 | + | 0.0545435i | \(0.0173703\pi\) | |||||||
\(234\) | −12.4758 | − | 8.17721i | −0.815571 | − | 0.534561i | ||||
\(235\) | 21.7422 | + | 14.8236i | 1.41831 | + | 0.966986i | ||||
\(236\) | −1.68257 | − | 2.10988i | −0.109526 | − | 0.137342i | ||||
\(237\) | 1.90959 | − | 13.5021i | 0.124041 | − | 0.877058i | ||||
\(238\) | 10.0891 | + | 3.60330i | 0.653977 | + | 0.233567i | ||||
\(239\) | −16.7019 | − | 1.25163i | −1.08036 | − | 0.0809615i | −0.477362 | − | 0.878707i | \(-0.658407\pi\) |
−0.602995 | + | 0.797745i | \(0.706026\pi\) | |||||||
\(240\) | −5.35925 | + | 2.15985i | −0.345938 | + | 0.139418i | ||||
\(241\) | 6.24237 | − | 20.2373i | 0.402106 | − | 1.30360i | −0.497716 | − | 0.867340i | \(-0.665828\pi\) |
0.899822 | − | 0.436257i | \(-0.143696\pi\) | |||||||
\(242\) | −12.8243 | + | 0.961050i | −0.824378 | + | 0.0617786i | ||||
\(243\) | −10.0719 | + | 11.8977i | −0.646115 | + | 0.763240i | ||||
\(244\) | − | 8.73575i | − | 0.559249i | ||||||
\(245\) | −3.18319 | − | 23.1340i | −0.203367 | − | 1.47798i | ||||
\(246\) | −0.795064 | + | 3.63564i | −0.0506914 | + | 0.231800i | ||||
\(247\) | −41.1584 | − | 6.20363i | −2.61885 | − | 0.394728i | ||||
\(248\) | 4.45166 | + | 2.14380i | 0.282680 | + | 0.136132i | ||||
\(249\) | 5.85352 | + | 3.30886i | 0.370952 | + | 0.209690i | ||||
\(250\) | 1.63394 | − | 3.39291i | 0.103339 | − | 0.214587i | ||||
\(251\) | −13.5581 | + | 6.52922i | −0.855777 | + | 0.412121i | −0.809719 | − | 0.586818i | \(-0.800380\pi\) |
−0.0460584 | + | 0.998939i | \(0.514666\pi\) | |||||||
\(252\) | 0.203363 | − | 7.93465i | 0.0128107 | − | 0.499836i | ||||
\(253\) | −8.95705 | − | 4.31349i | −0.563125 | − | 0.271187i | ||||
\(254\) | −2.05077 | + | 1.63544i | −0.128677 | + | 0.102616i | ||||
\(255\) | −22.7619 | + | 5.41370i | −1.42540 | + | 0.339019i | ||||
\(256\) | 0.623490 | − | 0.781831i | 0.0389681 | − | 0.0488645i | ||||
\(257\) | 6.16512 | − | 1.90169i | 0.384570 | − | 0.118624i | −0.0964411 | − | 0.995339i | \(-0.530746\pi\) |
0.481011 | + | 0.876715i | \(0.340270\pi\) | |||||||
\(258\) | 13.7838 | − | 2.20607i | 0.858141 | − | 0.137344i | ||||
\(259\) | 2.41192 | + | 2.10277i | 0.149870 | + | 0.130660i | ||||
\(260\) | −12.9687 | + | 10.3422i | −0.804282 | + | 0.641393i | ||||
\(261\) | −0.197764 | − | 10.8615i | −0.0122413 | − | 0.672308i | ||||
\(262\) | −1.83273 | − | 5.94157i | −0.113227 | − | 0.367072i | ||||
\(263\) | 5.48751 | + | 3.16822i | 0.338375 | + | 0.195361i | 0.659553 | − | 0.751658i | \(-0.270746\pi\) |
−0.321178 | + | 0.947019i | \(0.604079\pi\) | |||||||
\(264\) | −8.26522 | − | 1.80749i | −0.508689 | − | 0.111243i | ||||
\(265\) | 21.3542 | − | 23.0143i | 1.31178 | − | 1.41376i | ||||
\(266\) | −8.72598 | − | 20.3563i | −0.535024 | − | 1.24812i | ||||
\(267\) | 0.0241470 | + | 2.65259i | 0.00147777 | + | 0.162336i | ||||
\(268\) | −3.56345 | − | 15.6125i | −0.217672 | − | 0.953685i | ||||
\(269\) | −9.63915 | + | 24.5602i | −0.587709 | + | 1.49746i | 0.259255 | + | 0.965809i | \(0.416523\pi\) |
−0.846964 | + | 0.531650i | \(0.821572\pi\) | |||||||
\(270\) | 9.07384 | + | 14.7697i | 0.552216 | + | 0.898856i | ||||
\(271\) | 2.18619 | − | 7.08745i | 0.132801 | − | 0.430532i | −0.864609 | − | 0.502444i | \(-0.832434\pi\) |
0.997411 | + | 0.0719128i | \(0.0229103\pi\) | |||||||
\(272\) | 2.96829 | − | 2.75417i | 0.179979 | − | 0.166996i | ||||
\(273\) | −5.95623 | − | 21.9936i | −0.360487 | − | 1.33112i | ||||
\(274\) | −6.03827 | − | 5.60270i | −0.364785 | − | 0.338471i | ||||
\(275\) | 25.9267 | − | 14.9688i | 1.56344 | − | 0.902653i | ||||
\(276\) | −2.60584 | − | 2.37409i | −0.156853 | − | 0.142904i | ||||
\(277\) | 7.07983 | + | 6.56913i | 0.425386 | + | 0.394700i | 0.863606 | − | 0.504167i | \(-0.168200\pi\) |
−0.438220 | + | 0.898868i | \(0.644391\pi\) | |||||||
\(278\) | −1.21109 | + | 16.1609i | −0.0726365 | + | 0.969267i | ||||
\(279\) | 4.11054 | − | 14.2415i | 0.246092 | − | 0.852619i | ||||
\(280\) | −8.31200 | − | 2.96862i | −0.496737 | − | 0.177409i | ||||
\(281\) | −0.455254 | + | 3.02041i | −0.0271582 | + | 0.180183i | −0.998297 | − | 0.0583311i | \(-0.981422\pi\) |
0.971139 | + | 0.238514i | \(0.0766602\pi\) | |||||||
\(282\) | 1.14499 | + | 13.6146i | 0.0681830 | + | 0.810736i | ||||
\(283\) | −20.9283 | − | 16.6897i | −1.24406 | − | 0.992102i | −0.999749 | − | 0.0224043i | \(-0.992868\pi\) |
−0.244308 | − | 0.969698i | \(-0.578561\pi\) | |||||||
\(284\) | 0.699466 | + | 1.45246i | 0.0415057 | + | 0.0861874i | ||||
\(285\) | 40.2106 | + | 26.8822i | 2.38187 | + | 1.59237i | ||||
\(286\) | −24.2202 | + | 1.81506i | −1.43217 | + | 0.107326i | ||||
\(287\) | −4.59557 | + | 3.34626i | −0.271268 | + | 0.197523i | ||||
\(288\) | −2.62495 | − | 1.45245i | −0.154677 | − | 0.0855867i | ||||
\(289\) | −0.498920 | + | 0.340158i | −0.0293482 | + | 0.0200093i | ||||
\(290\) | −11.5433 | − | 3.56062i | −0.677844 | − | 0.209087i | ||||
\(291\) | 0.836829 | + | 2.07642i | 0.0490558 | + | 0.121722i | ||||
\(292\) | −0.483362 | + | 3.20690i | −0.0282866 | + | 0.187670i | ||||
\(293\) | −1.33023 | + | 2.30403i | −0.0777128 | + | 0.134603i | −0.902263 | − | 0.431187i | \(-0.858095\pi\) |
0.824550 | + | 0.565789i | \(0.191428\pi\) | |||||||
\(294\) | 8.27999 | − | 8.85673i | 0.482899 | − | 0.516535i | ||||
\(295\) | 4.50132 | + | 7.79652i | 0.262077 | + | 0.453931i | ||||
\(296\) | 1.12583 | − | 0.441854i | 0.0654373 | − | 0.0256822i | ||||
\(297\) | −1.20495 | + | 25.3530i | −0.0699181 | + | 1.47113i | ||||
\(298\) | 8.95060 | − | 8.30495i | 0.518494 | − | 0.481093i | ||||
\(299\) | −9.11767 | − | 4.39084i | −0.527288 | − | 0.253929i | ||||
\(300\) | 10.3274 | − | 2.45628i | 0.596253 | − | 0.141813i | ||||
\(301\) | 17.9814 | + | 11.4604i | 1.03643 | + | 0.660566i | ||||
\(302\) | −5.09846 | − | 7.47807i | −0.293384 | − | 0.430315i | ||||
\(303\) | −1.98045 | − | 4.01846i | −0.113774 | − | 0.230855i | ||||
\(304\) | −8.34764 | − | 0.625569i | −0.478770 | − | 0.0358789i | ||||
\(305\) | −4.34345 | + | 28.8169i | −0.248705 | + | 1.65005i | ||||
\(306\) | −9.63372 | − | 7.39978i | −0.550723 | − | 0.423017i | ||||
\(307\) | −1.68554 | − | 1.34417i | −0.0961987 | − | 0.0767159i | 0.574209 | − | 0.818708i | \(-0.305310\pi\) |
−0.670408 | + | 0.741993i | \(0.733881\pi\) | |||||||
\(308\) | −7.60733 | − | 10.4475i | −0.433468 | − | 0.595302i | ||||
\(309\) | 0.0200789 | − | 0.305189i | 0.00114225 | − | 0.0173616i | ||||
\(310\) | −13.6189 | − | 9.28522i | −0.773503 | − | 0.527365i | ||||
\(311\) | −2.36944 | + | 10.3812i | −0.134359 | + | 0.588665i | 0.862257 | + | 0.506470i | \(0.169050\pi\) |
−0.996616 | + | 0.0821944i | \(0.973807\pi\) | |||||||
\(312\) | −8.41343 | − | 1.83990i | −0.476317 | − | 0.104164i | ||||
\(313\) | − | 19.3291i | − | 1.09254i | −0.837608 | − | 0.546272i | \(-0.816046\pi\) | ||
0.837608 | − | 0.546272i | \(-0.183954\pi\) | |||||||
\(314\) | −3.70648 | + | 16.2391i | −0.209169 | + | 0.916428i | ||||
\(315\) | −4.61598 | + | 26.0732i | −0.260081 | + | 1.46906i | ||||
\(316\) | −1.75192 | − | 7.67564i | −0.0985529 | − | 0.431789i | ||||
\(317\) | −7.36533 | + | 1.68109i | −0.413678 | + | 0.0944193i | −0.424294 | − | 0.905524i | \(-0.639478\pi\) |
0.0106163 | + | 0.999944i | \(0.496621\pi\) | |||||||
\(318\) | 16.2653 | + | 1.07012i | 0.912111 | + | 0.0600092i | ||||
\(319\) | −11.0282 | − | 13.8290i | −0.617463 | − | 0.774275i | ||||
\(320\) | −2.44546 | + | 2.26905i | −0.136705 | + | 0.126844i | ||||
\(321\) | −8.30641 | + | 0.0756148i | −0.463619 | + | 0.00422041i | ||||
\(322\) | −0.568483 | − | 5.35467i | −0.0316803 | − | 0.298404i | ||||
\(323\) | −33.0464 | − | 7.54261i | −1.83875 | − | 0.419682i | ||||
\(324\) | −2.98090 | + | 8.49201i | −0.165606 | + | 0.471778i | ||||
\(325\) | 26.3916 | − | 15.2372i | 1.46394 | − | 0.845209i | ||||
\(326\) | 10.9066 | − | 11.7545i | 0.604059 | − | 0.651021i | ||||
\(327\) | 8.52072 | − | 28.5434i | 0.471197 | − | 1.57845i | ||||
\(328\) | 0.320239 | + | 2.12465i | 0.0176822 | + | 0.117314i | ||||
\(329\) | −12.5008 | + | 16.7119i | −0.689189 | + | 0.921358i | ||||
\(330\) | 26.3661 | + | 10.0719i | 1.45140 | + | 0.554441i | ||||
\(331\) | −1.36867 | + | 5.99652i | −0.0752287 | + | 0.329598i | −0.998513 | − | 0.0545195i | \(-0.982637\pi\) |
0.923284 | + | 0.384118i | \(0.125494\pi\) | |||||||
\(332\) | 3.83875 | + | 0.578598i | 0.210679 | + | 0.0317547i | ||||
\(333\) | −1.87105 | − | 3.10864i | −0.102533 | − | 0.170352i | ||||
\(334\) | 3.30102 | + | 21.9009i | 0.180624 | + | 1.19836i | ||||
\(335\) | 3.99228 | + | 53.2732i | 0.218121 | + | 2.91063i | ||||
\(336\) | −1.52508 | − | 4.32136i | −0.0832002 | − | 0.235749i | ||||
\(337\) | −1.53127 | + | 20.4334i | −0.0834138 | + | 1.11308i | 0.785746 | + | 0.618549i | \(0.212279\pi\) |
−0.869160 | + | 0.494531i | \(0.835340\pi\) | |||||||
\(338\) | −11.6909 | + | 0.876111i | −0.635901 | + | 0.0476542i | ||||
\(339\) | 21.3160 | − | 0.194043i | 1.15772 | − | 0.0105390i | ||||
\(340\) | −11.1610 | + | 7.60942i | −0.605288 | + | 0.412679i | ||||
\(341\) | −8.81755 | − | 22.4668i | −0.477497 | − | 1.21664i | ||||
\(342\) | 2.33230 | + | 25.0046i | 0.126116 | + | 1.35209i | ||||
\(343\) | 18.4404 | − | 1.71823i | 0.995687 | − | 0.0927757i | ||||
\(344\) | 6.97960 | − | 4.02968i | 0.376315 | − | 0.217266i | ||||
\(345\) | 7.41556 | + | 9.12713i | 0.399240 | + | 0.491388i | ||||
\(346\) | −3.41858 | + | 7.09876i | −0.183784 | + | 0.381632i | ||||
\(347\) | −16.7048 | + | 3.81275i | −0.896758 | + | 0.204679i | −0.645970 | − | 0.763363i | \(-0.723547\pi\) |
−0.250788 | + | 0.968042i | \(0.580690\pi\) | |||||||
\(348\) | −2.34444 | − | 5.81726i | −0.125675 | − | 0.311838i | ||||
\(349\) | 4.55458 | − | 6.68034i | 0.243801 | − | 0.357591i | −0.684761 | − | 0.728768i | \(-0.740093\pi\) |
0.928562 | + | 0.371177i | \(0.121046\pi\) | |||||||
\(350\) | 14.2873 | + | 7.66898i | 0.763688 | + | 0.409924i | ||||
\(351\) | −1.22655 | + | 25.8077i | −0.0654686 | + | 1.37751i | ||||
\(352\) | −4.83014 | + | 0.728027i | −0.257447 | + | 0.0388039i | ||||
\(353\) | 1.27468 | − | 17.0094i | 0.0678444 | − | 0.905321i | −0.854624 | − | 0.519248i | \(-0.826212\pi\) |
0.922468 | − | 0.386073i | \(-0.126169\pi\) | |||||||
\(354\) | −1.66799 | + | 4.36644i | −0.0886528 | + | 0.232073i | ||||
\(355\) | −1.58519 | − | 5.13904i | −0.0841329 | − | 0.272752i | ||||
\(356\) | 0.559534 | + | 1.42567i | 0.0296552 | + | 0.0755603i | ||||
\(357\) | −3.49847 | − | 18.2231i | −0.185158 | − | 0.964467i | ||||
\(358\) | 9.14164 | − | 23.2925i | 0.483151 | − | 1.23105i | ||||
\(359\) | 12.0678 | + | 0.904358i | 0.636915 | + | 0.0477302i | 0.389275 | − | 0.921122i | \(-0.372726\pi\) |
0.247641 | + | 0.968852i | \(0.420345\pi\) | |||||||
\(360\) | 7.93685 | + | 6.09639i | 0.418309 | + | 0.321308i | ||||
\(361\) | 25.5373 | + | 44.2318i | 1.34407 | + | 2.32799i | ||||
\(362\) | 24.3079 | 1.27759 | ||||||||
\(363\) | 12.7148 | + | 18.2892i | 0.667352 | + | 0.959934i | ||||
\(364\) | −7.74375 | − | 10.6349i | −0.405883 | − | 0.557418i | ||||
\(365\) | 3.18897 | − | 10.3384i | 0.166918 | − | 0.541135i | ||||
\(366\) | −13.0342 | + | 7.68435i | −0.681309 | + | 0.401667i | ||||
\(367\) | −1.15932 | − | 7.69158i | −0.0605159 | − | 0.401497i | −0.998497 | − | 0.0548100i | \(-0.982545\pi\) |
0.937981 | − | 0.346687i | \(-0.112693\pi\) | |||||||
\(368\) | −1.89456 | − | 0.743560i | −0.0987608 | − | 0.0387607i | ||||
\(369\) | 6.12395 | − | 2.01179i | 0.318800 | − | 0.104730i | ||||
\(370\) | −3.93349 | + | 0.897793i | −0.204492 | + | 0.0466741i | ||||
\(371\) | 17.4929 | + | 17.7193i | 0.908186 | + | 0.919941i | ||||
\(372\) | −0.717198 | − | 8.52790i | −0.0371850 | − | 0.442151i | ||||
\(373\) | 7.89525 | + | 13.6750i | 0.408801 | + | 0.708063i | 0.994756 | − | 0.102280i | \(-0.0326138\pi\) |
−0.585955 | + | 0.810344i | \(0.699280\pi\) | |||||||
\(374\) | −19.7792 | −1.02276 | ||||||||
\(375\) | −6.49969 | + | 0.546625i | −0.335643 | + | 0.0282276i | ||||
\(376\) | 3.42253 | + | 7.10695i | 0.176503 | + | 0.366513i | ||||
\(377\) | −11.2260 | − | 14.0770i | −0.578169 | − | 0.725001i | ||||
\(378\) | −12.0178 | + | 6.67623i | −0.618130 | + | 0.343388i | ||||
\(379\) | 18.6291 | − | 23.3601i | 0.956911 | − | 1.19993i | −0.0228458 | − | 0.999739i | \(-0.507273\pi\) |
0.979757 | − | 0.200190i | \(-0.0641559\pi\) | |||||||
\(380\) | 27.2256 | + | 6.21407i | 1.39664 | + | 0.318775i | ||||
\(381\) | 4.24411 | + | 1.62126i | 0.217432 | + | 0.0830598i | ||||
\(382\) | −7.88338 | + | 3.79644i | −0.403349 | + | 0.194243i | ||||
\(383\) | 2.87409 | − | 7.32307i | 0.146859 | − | 0.374191i | −0.838448 | − | 0.544981i | \(-0.816537\pi\) |
0.985307 | + | 0.170790i | \(0.0546320\pi\) | |||||||
\(384\) | −1.71498 | − | 0.242548i | −0.0875174 | − | 0.0123775i | ||||
\(385\) | 19.9000 | + | 38.2459i | 1.01420 | + | 1.94919i | ||||
\(386\) | −6.97019 | − | 14.4737i | −0.354773 | − | 0.736694i | ||||
\(387\) | −15.4164 | − | 18.6256i | −0.783660 | − | 0.946792i | ||||
\(388\) | 0.879137 | + | 0.947484i | 0.0446314 | + | 0.0481012i | ||||
\(389\) | 19.8046 | + | 29.0480i | 1.00413 | + | 1.47279i | 0.876755 | + | 0.480938i | \(0.159704\pi\) |
0.127378 | + | 0.991854i | \(0.459344\pi\) | |||||||
\(390\) | 26.8389 | + | 10.2525i | 1.35904 | + | 0.519157i | ||||
\(391\) | −7.13706 | − | 4.12058i | −0.360936 | − | 0.208387i | ||||
\(392\) | 2.64097 | − | 6.48269i | 0.133389 | − | 0.327425i | ||||
\(393\) | −7.25300 | + | 7.96100i | −0.365865 | + | 0.401579i | ||||
\(394\) | 5.21666 | − | 6.54148i | 0.262812 | − | 0.329555i | ||||
\(395\) | 1.96274 | + | 26.1910i | 0.0987562 | + | 1.31781i | ||||
\(396\) | 4.57358 | + | 13.9221i | 0.229831 | + | 0.699612i | ||||
\(397\) | −4.34256 | − | 6.36937i | −0.217947 | − | 0.319670i | 0.701658 | − | 0.712514i | \(-0.252443\pi\) |
−0.919605 | + | 0.392844i | \(0.871491\pi\) | |||||||
\(398\) | −12.7334 | − | 8.68151i | −0.638269 | − | 0.435165i | ||||
\(399\) | −22.6969 | + | 30.9259i | −1.13627 | + | 1.54823i | ||||
\(400\) | 5.06390 | − | 3.45251i | 0.253195 | − | 0.172625i | ||||
\(401\) | 14.0139 | + | 5.50004i | 0.699819 | + | 0.274659i | 0.688457 | − | 0.725277i | \(-0.258288\pi\) |
0.0113616 | + | 0.999935i | \(0.496383\pi\) | |||||||
\(402\) | −20.1601 | + | 19.0503i | −1.00550 | + | 0.950142i | ||||
\(403\) | −8.97567 | − | 22.8696i | −0.447110 | − | 1.13922i | ||||
\(404\) | −1.89605 | − | 1.75928i | −0.0943321 | − | 0.0875274i | ||||
\(405\) | 14.0555 | − | 26.5308i | 0.698422 | − | 1.31832i | ||||
\(406\) | 3.22232 | − | 9.02235i | 0.159921 | − | 0.447772i | ||||
\(407\) | −5.49932 | − | 2.15832i | −0.272591 | − | 0.106984i | ||||
\(408\) | −6.72040 | − | 2.00616i | −0.332709 | − | 0.0993197i | ||||
\(409\) | 20.1867 | + | 4.60747i | 0.998166 | + | 0.227825i | 0.690236 | − | 0.723584i | \(-0.257507\pi\) |
0.307930 | + | 0.951409i | \(0.400364\pi\) | |||||||
\(410\) | − | 7.16787i | − | 0.353996i | ||||||
\(411\) | −3.04800 | + | 13.9378i | −0.150347 | + | 0.687502i | ||||
\(412\) | −0.0520485 | − | 0.168737i | −0.00256425 | − | 0.00831308i | ||||
\(413\) | −6.33384 | + | 3.29561i | −0.311668 | + | 0.162166i | ||||
\(414\) | −1.25006 | + | 5.97641i | −0.0614373 | + | 0.293725i | ||||
\(415\) | −12.3753 | − | 3.81728i | −0.607481 | − | 0.187383i | ||||
\(416\) | −4.91675 | + | 0.741082i | −0.241064 | + | 0.0363345i | ||||
\(417\) | 25.1783 | − | 12.4088i | 1.23299 | − | 0.607663i | ||||
\(418\) | 27.8123 | + | 29.9745i | 1.36034 | + | 1.46610i | ||||
\(419\) | 17.8642 | + | 5.51038i | 0.872723 | + | 0.269199i | 0.698590 | − | 0.715523i | \(-0.253811\pi\) |
0.174134 | + | 0.984722i | \(0.444288\pi\) | |||||||
\(420\) | 2.88225 | + | 15.0133i | 0.140639 | + | 0.732573i | ||||
\(421\) | 1.90367 | − | 0.587205i | 0.0927793 | − | 0.0286186i | −0.248018 | − | 0.968755i | \(-0.579779\pi\) |
0.340797 | + | 0.940137i | \(0.389303\pi\) | |||||||
\(422\) | −20.9279 | − | 12.0827i | −1.01875 | − | 0.588178i | ||||
\(423\) | 19.3065 | − | 13.6844i | 0.938714 | − | 0.665356i | ||||
\(424\) | 8.99295 | − | 2.77396i | 0.436736 | − | 0.134715i | ||||
\(425\) | 22.3594 | − | 10.7677i | 1.08459 | − | 0.522311i | ||||
\(426\) | 1.55186 | − | 2.32129i | 0.0751880 | − | 0.112467i | ||||
\(427\) | −22.6816 | − | 4.44284i | −1.09764 | − | 0.215004i | ||||
\(428\) | −4.46438 | + | 1.75214i | −0.215794 | + | 0.0846929i | ||||
\(429\) | 24.0133 | + | 34.5413i | 1.15937 | + | 1.66767i | ||||
\(430\) | −25.0274 | + | 9.82254i | −1.20693 | + | 0.473685i | ||||
\(431\) | −5.76397 | + | 8.45419i | −0.277641 | + | 0.407224i | −0.939578 | − | 0.342335i | \(-0.888782\pi\) |
0.661937 | + | 0.749559i | \(0.269735\pi\) | |||||||
\(432\) | 0.141883 | + | 5.19421i | 0.00682635 | + | 0.249907i | ||||
\(433\) | −1.09543 | + | 2.27469i | −0.0526431 | + | 0.109314i | −0.925631 | − | 0.378427i | \(-0.876465\pi\) |
0.872988 | + | 0.487742i | \(0.162179\pi\) | |||||||
\(434\) | 7.83023 | − | 10.4680i | 0.375863 | − | 0.502481i | ||||
\(435\) | 4.84131 | + | 20.3553i | 0.232123 | + | 0.975960i | ||||
\(436\) | −1.28522 | − | 17.1501i | −0.0615508 | − | 0.821339i | ||||
\(437\) | 3.79113 | + | 16.6100i | 0.181354 | + | 0.794565i | ||||
\(438\) | 5.21006 | − | 2.09973i | 0.248946 | − | 0.100329i | ||||
\(439\) | 28.9734 | + | 23.1055i | 1.38283 | + | 1.10277i | 0.982473 | + | 0.186406i | \(0.0596838\pi\) |
0.400353 | + | 0.916361i | \(0.368888\pi\) | |||||||
\(440\) | 16.2953 | 0.776849 | ||||||||
\(441\) | −20.4982 | − | 4.56343i | −0.976103 | − | 0.217306i | ||||
\(442\) | −20.1339 | −0.957671 | ||||||||
\(443\) | 19.3881 | + | 15.4615i | 0.921157 | + | 0.734598i | 0.964395 | − | 0.264466i | \(-0.0851958\pi\) |
−0.0432376 | + | 0.999065i | \(0.513767\pi\) | |||||||
\(444\) | −1.64960 | − | 1.29112i | −0.0782863 | − | 0.0612738i | ||||
\(445\) | −1.13690 | − | 4.98110i | −0.0538944 | − | 0.236127i | ||||
\(446\) | 0.145566 | + | 1.94245i | 0.00689276 | + | 0.0919775i | ||||
\(447\) | −20.2648 | − | 6.04939i | −0.958491 | − | 0.286127i | ||||
\(448\) | −1.71286 | − | 2.01646i | −0.0809250 | − | 0.0952688i | ||||
\(449\) | −9.36345 | + | 19.4434i | −0.441888 | + | 0.917591i | 0.554460 | + | 0.832210i | \(0.312925\pi\) |
−0.996348 | + | 0.0853804i | \(0.972789\pi\) | |||||||
\(450\) | −12.7493 | − | 13.2484i | −0.601009 | − | 0.624535i | ||||
\(451\) | 5.91232 | − | 8.67177i | 0.278400 | − | 0.408338i | ||||
\(452\) | 11.4565 | − | 4.49635i | 0.538870 | − | 0.211491i | ||||
\(453\) | −6.67286 | + | 14.1852i | −0.313518 | + | 0.666480i | ||||
\(454\) | −9.48084 | + | 3.72095i | −0.444958 | + | 0.174633i | ||||
\(455\) | 20.2569 | + | 38.9318i | 0.949656 | + | 1.82515i | ||||
\(456\) | 6.40957 | + | 13.0054i | 0.300156 | + | 0.609035i | ||||
\(457\) | 20.9952 | − | 10.1107i | 0.982112 | − | 0.472960i | 0.127281 | − | 0.991867i | \(-0.459375\pi\) |
0.854831 | + | 0.518906i | \(0.173661\pi\) | |||||||
\(458\) | 13.1606 | − | 4.05952i | 0.614956 | − | 0.189689i | ||||
\(459\) | −2.56663 | + | 20.8832i | −0.119800 | + | 0.974745i | ||||
\(460\) | 5.87995 | + | 3.39479i | 0.274154 | + | 0.158283i | ||||
\(461\) | 3.79312 | − | 1.17002i | 0.176663 | − | 0.0544933i | −0.205162 | − | 0.978728i | \(-0.565772\pi\) |
0.381825 | + | 0.924235i | \(0.375296\pi\) | |||||||
\(462\) | −8.89651 | + | 20.5406i | −0.413903 | + | 0.955637i | ||||
\(463\) | −5.99874 | − | 1.85037i | −0.278785 | − | 0.0859939i | 0.152210 | − | 0.988348i | \(-0.451361\pi\) |
−0.430995 | + | 0.902354i | \(0.641837\pi\) | |||||||
\(464\) | −2.46297 | − | 2.65445i | −0.114340 | − | 0.123230i | ||||
\(465\) | −1.87426 | + | 28.4879i | −0.0869168 | + | 1.32109i | ||||
\(466\) | −19.2953 | + | 2.90830i | −0.893837 | + | 0.134724i | ||||
\(467\) | −28.2061 | − | 8.70042i | −1.30522 | − | 0.402608i | −0.437303 | − | 0.899314i | \(-0.644066\pi\) |
−0.867919 | + | 0.496706i | \(0.834543\pi\) | |||||||
\(468\) | 4.65559 | + | 14.1718i | 0.215205 | + | 0.655089i | ||||
\(469\) | −42.3487 | + | 1.31195i | −1.95548 | + | 0.0605803i | ||||
\(470\) | −7.75640 | − | 25.1456i | −0.357776 | − | 1.15988i | ||||
\(471\) | 27.4901 | − | 8.75439i | 1.26668 | − | 0.403381i | ||||
\(472\) | 2.69864i | 0.124215i | ||||||||
\(473\) | −38.3805 | − | 8.76009i | −1.76474 | − | 0.402789i | ||||
\(474\) | −9.91142 | + | 9.36578i | −0.455246 | + | 0.430185i | ||||
\(475\) | −47.7584 | − | 18.7438i | −2.19131 | − | 0.860025i | ||||
\(476\) | −5.64133 | − | 9.10761i | −0.258570 | − | 0.417446i | ||||
\(477\) | −12.7110 | − | 25.2100i | −0.581995 | − | 1.15429i | ||||
\(478\) | 12.2777 | + | 11.3920i | 0.561569 | + | 0.521060i | ||||
\(479\) | 6.59168 | + | 16.7953i | 0.301182 | + | 0.767398i | 0.998707 | + | 0.0508381i | \(0.0161892\pi\) |
−0.697525 | + | 0.716560i | \(0.745716\pi\) | |||||||
\(480\) | 5.53668 | + | 1.65280i | 0.252714 | + | 0.0754395i | ||||
\(481\) | −5.59793 | − | 2.19703i | −0.255244 | − | 0.100176i | ||||
\(482\) | −17.4982 | + | 11.9301i | −0.797022 | + | 0.543400i | ||||
\(483\) | −7.48940 | + | 5.55841i | −0.340779 | + | 0.252916i | ||||
\(484\) | 10.6257 | + | 7.24445i | 0.482985 | + | 0.329293i | ||||
\(485\) | −2.42894 | − | 3.56261i | −0.110293 | − | 0.161770i | ||||
\(486\) | 15.2927 | − | 3.02227i | 0.693690 | − | 0.137093i | ||||
\(487\) | −1.92894 | − | 25.7399i | −0.0874086 | − | 1.16639i | −0.852593 | − | 0.522576i | \(-0.824971\pi\) |
0.765184 | − | 0.643811i | \(-0.222648\pi\) | |||||||
\(488\) | −5.44665 | + | 6.82988i | −0.246558 | + | 0.309174i | ||||
\(489\) | −27.1322 | − | 5.93344i | −1.22696 | − | 0.268319i | ||||
\(490\) | −11.9351 | + | 20.0716i | −0.539172 | + | 0.906741i | ||||
\(491\) | −18.5427 | − | 10.7056i | −0.836820 | − | 0.483138i | 0.0193620 | − | 0.999813i | \(-0.493836\pi\) |
−0.856182 | + | 0.516674i | \(0.827170\pi\) | |||||||
\(492\) | 2.88839 | − | 2.34675i | 0.130219 | − | 0.105799i | ||||
\(493\) | −8.25973 | − | 12.1148i | −0.371999 | − | 0.545623i | ||||
\(494\) | 28.3110 | + | 30.5120i | 1.27377 | + | 1.37280i | ||||
\(495\) | −8.16489 | − | 48.1993i | −0.366985 | − | 2.16640i | ||||
\(496\) | −2.14380 | − | 4.45166i | −0.0962597 | − | 0.199885i | ||||
\(497\) | 4.12691 | − | 1.07741i | 0.185117 | − | 0.0483284i | ||||
\(498\) | −2.51343 | − | 6.23658i | −0.112629 | − | 0.279468i | ||||
\(499\) | 2.89465 | − | 7.37546i | 0.129582 | − | 0.330171i | −0.851327 | − | 0.524635i | \(-0.824202\pi\) |
0.980910 | + | 0.194465i | \(0.0622969\pi\) | |||||||
\(500\) | −3.39291 | + | 1.63394i | −0.151736 | + | 0.0730720i | ||||
\(501\) | 29.7735 | − | 24.1903i | 1.33018 | − | 1.08074i | ||||
\(502\) | 14.6710 | + | 3.34856i | 0.654800 | + | 0.149454i | ||||
\(503\) | 11.5524 | − | 14.4862i | 0.515095 | − | 0.645908i | −0.454465 | − | 0.890765i | \(-0.650169\pi\) |
0.969559 | + | 0.244857i | \(0.0787409\pi\) | |||||||
\(504\) | −5.10617 | + | 6.07676i | −0.227447 | + | 0.270681i | ||||
\(505\) | 5.37985 | + | 6.74612i | 0.239400 | + | 0.300198i | ||||
\(506\) | 4.31349 | + | 8.95705i | 0.191758 | + | 0.398190i | ||||
\(507\) | 11.5910 | + | 16.6728i | 0.514776 | + | 0.740465i | ||||
\(508\) | 2.62303 | 0.116378 | ||||||||
\(509\) | −4.23057 | − | 7.32757i | −0.187517 | − | 0.324789i | 0.756905 | − | 0.653525i | \(-0.226711\pi\) |
−0.944422 | + | 0.328736i | \(0.893377\pi\) | |||||||
\(510\) | 21.1713 | + | 9.95919i | 0.937483 | + | 0.441001i | ||||
\(511\) | 8.08060 | + | 2.88598i | 0.357465 | + | 0.127668i | ||||
\(512\) | −0.974928 | + | 0.222521i | −0.0430861 | + | 0.00983413i | ||||
\(513\) | 35.2567 | − | 25.4751i | 1.55662 | − | 1.12475i | ||||
\(514\) | −6.00577 | − | 2.35709i | −0.264903 | − | 0.103967i | ||||
\(515\) | 0.0877973 | + | 0.582497i | 0.00386881 | + | 0.0256679i | ||||
\(516\) | −12.1521 | − | 6.86927i | −0.534965 | − | 0.302403i | ||||
\(517\) | 11.3572 | − | 36.8193i | 0.499491 | − | 1.61931i | ||||
\(518\) | −0.574660 | − | 3.14782i | −0.0252491 | − | 0.138307i | ||||
\(519\) | 13.5989 | − | 1.14367i | 0.596924 | − | 0.0502014i | ||||
\(520\) | 16.5875 | 0.727411 | ||||||||
\(521\) | −9.91985 | − | 17.1817i | −0.434597 | − | 0.752744i | 0.562666 | − | 0.826684i | \(-0.309776\pi\) |
−0.997263 | + | 0.0739408i | \(0.976442\pi\) | |||||||
\(522\) | −6.61740 | + | 8.61515i | −0.289636 | + | 0.377075i | ||||
\(523\) | 7.49955 | + | 0.562013i | 0.327932 | + | 0.0245751i | 0.237679 | − | 0.971344i | \(-0.423613\pi\) |
0.0902531 | + | 0.995919i | \(0.471232\pi\) | |||||||
\(524\) | −2.27162 | + | 5.78800i | −0.0992363 | + | 0.252850i | ||||
\(525\) | −1.12518 | − | 28.0634i | −0.0491068 | − | 1.22479i | ||||
\(526\) | −2.31496 | − | 5.89842i | −0.100937 | − | 0.257183i | ||||
\(527\) | −5.89718 | − | 19.1182i | −0.256885 | − | 0.832801i | ||||
\(528\) | 5.33506 | + | 6.56643i | 0.232179 | + | 0.285767i | ||||
\(529\) | 1.40924 | − | 18.8050i | 0.0612714 | − | 0.817610i | ||||
\(530\) | −31.0446 | + | 4.67922i | −1.34849 | + | 0.203252i | ||||
\(531\) | 7.98220 | − | 1.35217i | 0.346398 | − | 0.0586793i | ||||
\(532\) | −5.86969 | + | 21.3558i | −0.254483 | + | 0.925889i | ||||
\(533\) | 6.01834 | − | 8.82728i | 0.260683 | − | 0.382352i | ||||
\(534\) | 1.63498 | − | 2.08893i | 0.0707527 | − | 0.0903971i | ||||
\(535\) | 15.5980 | − | 3.56014i | 0.674360 | − | 0.153918i | ||||
\(536\) | −6.94821 | + | 14.4281i | −0.300117 | + | 0.623200i | ||||
\(537\) | −42.7951 | + | 6.84929i | −1.84675 | + | 0.295569i | ||||
\(538\) | 22.8492 | − | 13.1920i | 0.985099 | − | 0.568747i | ||||
\(539\) | −30.9950 | + | 14.4383i | −1.33505 | + | 0.621903i | ||||
\(540\) | 2.11455 | − | 17.2049i | 0.0909958 | − | 0.740380i | ||||
\(541\) | −14.7057 | − | 37.4695i | −0.632248 | − | 1.61094i | −0.782753 | − | 0.622332i | \(-0.786185\pi\) |
0.150505 | − | 0.988609i | \(-0.451910\pi\) | |||||||
\(542\) | −6.12818 | + | 4.17812i | −0.263228 | + | 0.179466i | ||||
\(543\) | −21.3823 | − | 36.2686i | −0.917600 | − | 1.55644i | ||||
\(544\) | −4.03789 | + | 0.302598i | −0.173123 | + | 0.0129738i | ||||
\(545\) | −4.28748 | + | 57.2125i | −0.183656 | + | 2.45071i | ||||
\(546\) | −9.05605 | + | 20.9090i | −0.387563 | + | 0.894822i | ||||
\(547\) | −0.290455 | − | 3.87586i | −0.0124190 | − | 0.165720i | −0.999965 | − | 0.00838818i | \(-0.997330\pi\) |
0.987546 | − | 0.157332i | \(-0.0502891\pi\) | |||||||
\(548\) | 1.22769 | + | 8.14517i | 0.0524442 | + | 0.347944i | ||||
\(549\) | 22.9309 | + | 12.6883i | 0.978668 | + | 0.541522i | ||||
\(550\) | −29.6032 | − | 4.46197i | −1.26229 | − | 0.190259i | ||||
\(551\) | −6.74513 | + | 29.5523i | −0.287352 | + | 1.25897i | ||||
\(552\) | 0.557106 | + | 3.48085i | 0.0237120 | + | 0.148155i | ||||
\(553\) | −20.8201 | + | 0.645000i | −0.885361 | + | 0.0274282i | ||||
\(554\) | −1.43945 | − | 9.55015i | −0.0611565 | − | 0.405747i | ||||
\(555\) | 4.79963 | + | 5.07924i | 0.203733 | + | 0.215602i | ||||
\(556\) | 11.0230 | − | 11.8800i | 0.467481 | − | 0.503825i | ||||
\(557\) | 22.3930 | − | 12.9286i | 0.948822 | − | 0.547803i | 0.0561073 | − | 0.998425i | \(-0.482131\pi\) |
0.892715 | + | 0.450622i | \(0.148798\pi\) | |||||||
\(558\) | −12.0932 | + | 8.57161i | −0.511946 | + | 0.362865i | ||||
\(559\) | −39.0687 | − | 8.91718i | −1.65243 | − | 0.377156i | ||||
\(560\) | 4.64767 | + | 7.50341i | 0.196400 | + | 0.317077i | ||||
\(561\) | 17.3987 | + | 29.5116i | 0.734572 | + | 1.24598i | ||||
\(562\) | 2.23913 | − | 2.07761i | 0.0944519 | − | 0.0876386i | ||||
\(563\) | 20.0105 | + | 25.0924i | 0.843342 | + | 1.05752i | 0.997583 | + | 0.0694840i | \(0.0221353\pi\) |
−0.154241 | + | 0.988033i | \(0.549293\pi\) | |||||||
\(564\) | 7.59336 | − | 11.3582i | 0.319738 | − | 0.478266i | ||||
\(565\) | −40.0276 | + | 9.13604i | −1.68397 | + | 0.384356i | ||||
\(566\) | 5.95650 | + | 26.0971i | 0.250370 | + | 1.09694i | ||||
\(567\) | 20.5327 | + | 12.0585i | 0.862292 | + | 0.506411i | ||||
\(568\) | 0.358727 | − | 1.57169i | 0.0150519 | − | 0.0659465i | ||||
\(569\) | − | 20.8748i | − | 0.875118i | −0.899190 | − | 0.437559i | \(-0.855843\pi\) | ||
0.899190 | − | 0.437559i | \(-0.144157\pi\) | |||||||
\(570\) | −14.6771 | − | 46.0883i | −0.614757 | − | 1.93043i | ||||
\(571\) | −8.53293 | + | 37.3852i | −0.357092 | + | 1.56452i | 0.403306 | + | 0.915065i | \(0.367861\pi\) |
−0.760398 | + | 0.649458i | \(0.774996\pi\) | |||||||
\(572\) | 20.0678 | + | 13.6820i | 0.839077 | + | 0.572073i | ||||
\(573\) | 12.5991 | + | 8.42292i | 0.526333 | + | 0.351873i | ||||
\(574\) | 5.67932 | + | 0.249084i | 0.237050 | + | 0.0103966i | ||||
\(575\) | −9.75236 | − | 7.77725i | −0.406702 | − | 0.324334i | ||||
\(576\) | 1.14668 | + | 2.77221i | 0.0477784 | + | 0.115509i | ||||
\(577\) | 4.18829 | − | 27.7875i | 0.174361 | − | 1.15681i | −0.714838 | − | 0.699290i | \(-0.753500\pi\) |
0.889199 | − | 0.457520i | \(-0.151262\pi\) | |||||||
\(578\) | 0.602156 | + | 0.0451253i | 0.0250464 | + | 0.00187697i | ||||
\(579\) | −15.4643 | + | 23.1316i | −0.642676 | + | 0.961318i | ||||
\(580\) | 6.80487 | + | 9.98091i | 0.282557 | + | 0.414435i | ||||
\(581\) | 3.45459 | − | 9.67270i | 0.143321 | − | 0.401291i | ||||
\(582\) | 0.640371 | − | 2.14517i | 0.0265442 | − | 0.0889201i | ||||
\(583\) | −41.4177 | − | 19.9457i | −1.71535 | − | 0.826067i | ||||
\(584\) | 2.37738 | − | 2.20588i | 0.0983766 | − | 0.0912801i | ||||
\(585\) | −8.31130 | − | 49.0636i | −0.343630 | − | 2.02853i | ||||
\(586\) | 2.47655 | − | 0.971975i | 0.102305 | − | 0.0401519i | ||||
\(587\) | −12.2897 | − | 21.2863i | −0.507249 | − | 0.878581i | −0.999965 | − | 0.00839101i | \(-0.997329\pi\) |
0.492716 | − | 0.870190i | \(-0.336004\pi\) | |||||||
\(588\) | −11.9956 | + | 1.76198i | −0.494692 | + | 0.0726629i | ||||
\(589\) | −20.6805 | + | 35.8197i | −0.852127 | + | 1.47593i | ||||
\(590\) | 1.34177 | − | 8.90209i | 0.0552400 | − | 0.366493i | ||||
\(591\) | −14.3491 | − | 2.02937i | −0.590241 | − | 0.0834769i | ||||
\(592\) | −1.15570 | − | 0.356485i | −0.0474989 | − | 0.0146515i | ||||
\(593\) | −23.2197 | + | 15.8309i | −0.953518 | + | 0.650098i | −0.936838 | − | 0.349763i | \(-0.886262\pi\) |
−0.0166799 | + | 0.999861i | \(0.505310\pi\) | |||||||
\(594\) | 16.7494 | − | 19.0705i | 0.687237 | − | 0.782473i | ||||
\(595\) | 14.0809 | + | 32.8485i | 0.577261 | + | 1.34666i | ||||
\(596\) | −12.1759 | + | 0.912458i | −0.498745 | + | 0.0373758i | ||||
\(597\) | −1.75240 | + | 26.6356i | −0.0717209 | + | 1.09012i | ||||
\(598\) | 4.39084 | + | 9.11767i | 0.179555 | + | 0.372849i | ||||
\(599\) | 30.9143 | + | 24.6533i | 1.26312 | + | 1.00731i | 0.999084 | + | 0.0427940i | \(0.0136259\pi\) |
0.264038 | + | 0.964512i | \(0.414946\pi\) | |||||||
\(600\) | −9.60575 | − | 4.51863i | −0.392153 | − | 0.184472i | ||||
\(601\) | −4.49636 | + | 29.8314i | −0.183410 | + | 1.21685i | 0.687786 | + | 0.725914i | \(0.258583\pi\) |
−0.871196 | + | 0.490935i | \(0.836655\pi\) | |||||||
\(602\) | −6.91299 | − | 20.1713i | −0.281753 | − | 0.822122i | ||||
\(603\) | 46.1578 | + | 13.3225i | 1.87969 | + | 0.542536i | ||||
\(604\) | −0.676363 | + | 9.02543i | −0.0275208 | + | 0.367240i | ||||
\(605\) | −31.4493 | − | 29.1806i | −1.27859 | − | 1.18636i | ||||
\(606\) | −0.957090 | + | 4.37655i | −0.0388791 | + | 0.177785i | ||||
\(607\) | 8.18998 | − | 4.72849i | 0.332421 | − | 0.191923i | −0.324494 | − | 0.945888i | \(-0.605194\pi\) |
0.656916 | + | 0.753964i | \(0.271861\pi\) | |||||||
\(608\) | 6.13642 | + | 5.69376i | 0.248865 | + | 0.230913i | ||||
\(609\) | −16.2963 | + | 3.12857i | −0.660361 | + | 0.126776i | ||||
\(610\) | 21.3629 | − | 19.8219i | 0.864958 | − | 0.802564i | ||||
\(611\) | 11.5609 | − | 37.4795i | 0.467704 | − | 1.51626i | ||||
\(612\) | 2.91826 | + | 11.7919i | 0.117964 | + | 0.476660i | ||||
\(613\) | 0.623773 | − | 1.58935i | 0.0251940 | − | 0.0641932i | −0.917723 | − | 0.397220i | \(-0.869975\pi\) |
0.942917 | + | 0.333027i | \(0.108070\pi\) | |||||||
\(614\) | 0.479729 | + | 2.10183i | 0.0193603 | + | 0.0848230i | ||||
\(615\) | −10.6948 | + | 6.30517i | −0.431258 | + | 0.254249i | ||||
\(616\) | −0.566265 | + | 12.9113i | −0.0228155 | + | 0.520211i | ||||
\(617\) | 12.6787 | − | 13.6643i | 0.510423 | − | 0.550105i | −0.424282 | − | 0.905530i | \(-0.639473\pi\) |
0.934705 | + | 0.355425i | \(0.115664\pi\) | |||||||
\(618\) | −0.205981 | + | 0.226088i | −0.00828576 | + | 0.00909458i | ||||
\(619\) | 16.1836 | + | 9.34359i | 0.650473 | + | 0.375551i | 0.788637 | − | 0.614859i | \(-0.210787\pi\) |
−0.138165 | + | 0.990409i | \(0.544120\pi\) | |||||||
\(620\) | 4.85846 | + | 15.7507i | 0.195120 | + | 0.632565i | ||||
\(621\) | 10.0167 | − | 3.39195i | 0.401958 | − | 0.136114i | ||||
\(622\) | 8.32509 | − | 6.63904i | 0.333806 | − | 0.266201i | ||||
\(623\) | 3.98619 | − | 0.727710i | 0.159703 | − | 0.0291551i | ||||
\(624\) | 5.43073 | + | 6.68418i | 0.217403 | + | 0.267581i | ||||
\(625\) | −17.2781 | + | 5.32959i | −0.691125 | + | 0.213184i | ||||
\(626\) | −12.0515 | + | 15.1121i | −0.481674 | + | 0.604000i | ||||
\(627\) | 20.2587 | − | 67.8644i | 0.809056 | − | 2.71024i | ||||
\(628\) | 13.0228 | − | 10.3853i | 0.519666 | − | 0.414419i | ||||
\(629\) | −4.41226 | − | 2.12483i | −0.175928 | − | 0.0847226i | ||||
\(630\) | 19.8653 | − | 17.5068i | 0.791452 | − | 0.697488i | ||||
\(631\) | −4.04182 | + | 1.94644i | −0.160902 | + | 0.0774865i | −0.512602 | − | 0.858627i | \(-0.671318\pi\) |
0.351699 | + | 0.936113i | \(0.385604\pi\) | |||||||
\(632\) | −3.41598 | + | 7.09336i | −0.135880 | + | 0.282159i | ||||
\(633\) | 0.381005 | + | 41.8540i | 0.0151436 | + | 1.66355i | ||||
\(634\) | 6.80659 | + | 3.27788i | 0.270324 | + | 0.130181i | ||||
\(635\) | −8.65269 | − | 1.30418i | −0.343372 | − | 0.0517549i | ||||
\(636\) | −12.0495 | − | 10.9779i | −0.477793 | − | 0.435301i | ||||
\(637\) | −31.5508 | + | 14.6972i | −1.25009 | + | 0.582326i | ||||
\(638\) | 17.6879i | 0.700272i | ||||||||
\(639\) | −4.82857 | − | 0.273560i | −0.191015 | − | 0.0108219i | ||||
\(640\) | 3.32667 | − | 0.249299i | 0.131498 | − | 0.00985441i | ||||
\(641\) | −13.1738 | + | 42.7083i | −0.520332 | + | 1.68687i | 0.188981 | + | 0.981981i | \(0.439482\pi\) |
−0.709313 | + | 0.704894i | \(0.750995\pi\) | |||||||
\(642\) | 6.54136 | + | 5.11984i | 0.258167 | + | 0.202064i | ||||
\(643\) | 23.5276 | + | 1.76315i | 0.927837 | + | 0.0695318i | 0.530069 | − | 0.847954i | \(-0.322166\pi\) |
0.397768 | + | 0.917486i | \(0.369785\pi\) | |||||||
\(644\) | −2.89412 | + | 4.54089i | −0.114044 | + | 0.178936i | ||||
\(645\) | 36.6710 | + | 28.7019i | 1.44392 | + | 1.13014i | ||||
\(646\) | 21.1339 | + | 26.5011i | 0.831504 | + | 1.04267i | ||||
\(647\) | −32.8387 | − | 22.3891i | −1.29102 | − | 0.880205i | −0.293888 | − | 0.955840i | \(-0.594949\pi\) |
−0.997136 | + | 0.0756353i | \(0.975902\pi\) | |||||||
\(648\) | 7.62525 | − | 4.78076i | 0.299548 | − | 0.187806i | ||||
\(649\) | 8.96606 | − | 9.66312i | 0.351949 | − | 0.379311i | ||||
\(650\) | −30.1341 | − | 4.54198i | −1.18196 | − | 0.178151i | ||||
\(651\) | −22.5067 | − | 2.47499i | −0.882106 | − | 0.0970026i | ||||
\(652\) | −15.8559 | + | 2.38989i | −0.620965 | + | 0.0935954i | ||||
\(653\) | 1.17740 | − | 1.72692i | 0.0460751 | − | 0.0675797i | −0.802510 | − | 0.596639i | \(-0.796503\pi\) |
0.848585 | + | 0.529059i | \(0.177455\pi\) | |||||||
\(654\) | −24.4583 | + | 17.0036i | −0.956395 | + | 0.664892i | ||||
\(655\) | 10.3713 | − | 17.9636i | 0.405240 | − | 0.701896i | ||||
\(656\) | 1.07432 | − | 1.86078i | 0.0419452 | − | 0.0726513i | ||||
\(657\) | −7.71590 | − | 5.92668i | −0.301026 | − | 0.231222i | ||||
\(658\) | 20.1932 | − | 5.27182i | 0.787213 | − | 0.205517i | ||||
\(659\) | −5.04019 | − | 5.43204i | −0.196338 | − | 0.211602i | 0.627208 | − | 0.778852i | \(-0.284198\pi\) |
−0.823546 | + | 0.567250i | \(0.808007\pi\) | |||||||
\(660\) | −14.3341 | − | 24.3135i | −0.557953 | − | 0.946402i | ||||
\(661\) | −26.5687 | + | 21.1879i | −1.03340 | + | 0.824112i | −0.984622 | − | 0.174698i | \(-0.944105\pi\) |
−0.0487815 | + | 0.998809i | \(0.515534\pi\) | |||||||
\(662\) | 4.80883 | − | 3.83492i | 0.186901 | − | 0.149048i | ||||
\(663\) | 17.7106 | + | 30.0409i | 0.687824 | + | 1.16669i | ||||
\(664\) | −2.64050 | − | 2.84579i | −0.102471 | − | 0.110438i | ||||
\(665\) | 29.9807 | − | 67.5285i | 1.16260 | − | 2.61864i | ||||
\(666\) | −0.475364 | + | 3.59701i | −0.0184200 | + | 0.139381i | ||||
\(667\) | −3.68491 | + | 6.38245i | −0.142680 | + | 0.247130i | ||||
\(668\) | 11.0741 | − | 19.1809i | 0.428470 | − | 0.742133i | ||||
\(669\) | 2.77019 | − | 1.92585i | 0.107102 | − | 0.0744578i | ||||
\(670\) | 30.0940 | − | 44.1398i | 1.16263 | − | 1.70527i | ||||
\(671\) | 42.1949 | − | 6.35986i | 1.62892 | − | 0.245520i | ||||
\(672\) | −1.50196 | + | 4.32945i | −0.0579395 | + | 0.167012i | ||||
\(673\) | −6.55245 | − | 0.987623i | −0.252578 | − | 0.0380701i | 0.0215326 | − | 0.999768i | \(-0.493145\pi\) |
−0.274111 | + | 0.961698i | \(0.588384\pi\) | |||||||
\(674\) | 13.9372 | − | 15.0208i | 0.536842 | − | 0.578578i | ||||
\(675\) | −8.55246 | + | 30.6766i | −0.329184 | + | 1.18074i | ||||
\(676\) | 9.68656 | + | 6.60418i | 0.372560 | + | 0.254007i | ||||
\(677\) | 3.16345 | + | 3.96684i | 0.121581 | + | 0.152458i | 0.838897 | − | 0.544290i | \(-0.183201\pi\) |
−0.717316 | + | 0.696748i | \(0.754629\pi\) | |||||||
\(678\) | −16.7865 | − | 13.1386i | −0.644680 | − | 0.504584i | ||||
\(679\) | 2.90717 | − | 1.80073i | 0.111567 | − | 0.0691055i | ||||
\(680\) | 13.4704 | + | 1.00947i | 0.516566 | + | 0.0387113i | ||||
\(681\) | 13.8916 | + | 10.8728i | 0.532328 | + | 0.416647i | ||||
\(682\) | −7.11395 | + | 23.0629i | −0.272407 | + | 0.883123i | ||||
\(683\) | 44.9730 | − | 3.37026i | 1.72084 | − | 0.128959i | 0.822647 | − | 0.568553i | \(-0.192497\pi\) |
0.898197 | + | 0.439593i | \(0.144877\pi\) | |||||||
\(684\) | 13.7667 | − | 21.0036i | 0.526381 | − | 0.803091i | ||||
\(685\) | − | 27.4791i | − | 1.04992i | ||||||
\(686\) | −15.4886 | − | 10.1540i | −0.591356 | − | 0.387682i | ||||
\(687\) | −17.6337 | − | 16.0654i | −0.672767 | − | 0.612935i | ||||
\(688\) | −7.96933 | − | 1.20118i | −0.303828 | − | 0.0457947i | ||||
\(689\) | −42.1604 | − | 20.3034i | −1.60618 | − | 0.773497i | ||||
\(690\) | −0.107048 | − | 11.7594i | −0.00407525 | − | 0.447673i | ||||
\(691\) | 15.3785 | − | 31.9338i | 0.585026 | − | 1.21482i | −0.372918 | − | 0.927864i | \(-0.621643\pi\) |
0.957944 | − | 0.286955i | \(-0.0926430\pi\) | |||||||
\(692\) | 7.09876 | − | 3.41858i | 0.269854 | − | 0.129955i | ||||
\(693\) | 38.4735 | − | 4.79436i | 1.46149 | − | 0.182123i | ||||
\(694\) | 15.4375 | + | 7.43431i | 0.586000 | + | 0.282203i | ||||
\(695\) | −42.2688 | + | 33.7083i | −1.60335 | + | 1.27863i | ||||
\(696\) | −1.79405 | + | 6.00985i | −0.0680032 | + | 0.227803i | ||||
\(697\) | 5.42457 | − | 6.80219i | 0.205470 | − | 0.257651i | ||||
\(698\) | −7.72604 | + | 2.38317i | −0.292435 | + | 0.0902042i | ||||
\(699\) | 21.3123 | + | 26.2313i | 0.806106 | + | 0.992161i | ||||
\(700\) | −6.38872 | − | 14.9038i | −0.241471 | − | 0.563312i | ||||
\(701\) | −14.1349 | + | 11.2722i | −0.533868 | + | 0.425746i | −0.852959 | − | 0.521978i | \(-0.825194\pi\) |
0.319090 | + | 0.947724i | \(0.396623\pi\) | |||||||
\(702\) | 17.0498 | − | 19.4125i | 0.643502 | − | 0.732677i | ||||
\(703\) | 2.98416 | + | 9.67440i | 0.112550 | + | 0.364877i | ||||
\(704\) | 4.23027 | + | 2.44235i | 0.159434 | + | 0.0920495i | ||||
\(705\) | −30.6958 | + | 33.6922i | −1.15607 | + | 1.26892i | ||||
\(706\) | −11.6018 | + | 12.5038i | −0.436639 | + | 0.470585i | ||||
\(707\) | −5.53211 | + | 4.02819i | −0.208056 | + | 0.151496i | ||||
\(708\) | 4.02652 | − | 2.37384i | 0.151326 | − | 0.0892144i | ||||
\(709\) | 5.43040 | + | 23.7922i | 0.203943 | + | 0.893533i | 0.968507 | + | 0.248986i | \(0.0800972\pi\) |
−0.764564 | + | 0.644548i | \(0.777046\pi\) | |||||||
\(710\) | −1.96479 | + | 5.00621i | −0.0737374 | + | 0.187880i | ||||
\(711\) | 22.6928 | + | 6.54982i | 0.851046 | + | 0.245637i | ||||
\(712\) | 0.451429 | − | 1.46350i | 0.0169180 | − | 0.0548468i | ||||
\(713\) | −7.37164 | + | 6.83988i | −0.276070 | + | 0.256156i | ||||
\(714\) | −8.62668 | + | 16.4286i | −0.322846 | + | 0.614826i | ||||
\(715\) | −59.3956 | − | 55.1111i | −2.22127 | − | 2.06104i | ||||
\(716\) | −21.6699 | + | 12.5111i | −0.809841 | + | 0.467562i | ||||
\(717\) | 6.19754 | − | 28.3399i | 0.231451 | − | 1.05837i | ||||
\(718\) | −8.87115 | − | 8.23122i | −0.331068 | − | 0.307186i | ||||
\(719\) | −3.25449 | + | 43.4282i | −0.121372 | + | 1.61960i | 0.521242 | + | 0.853409i | \(0.325469\pi\) |
−0.642614 | + | 0.766190i | \(0.722150\pi\) | |||||||
\(720\) | −2.40424 | − | 9.71490i | −0.0896008 | − | 0.362053i | ||||
\(721\) | −0.464581 | + | 0.0493227i | −0.0173019 | + | 0.00183687i | ||||
\(722\) | 7.61226 | − | 50.5040i | 0.283299 | − | 1.87957i | ||||
\(723\) | 33.1925 | + | 15.6141i | 1.23444 | + | 0.580693i | ||||
\(724\) | −19.0046 | − | 15.1557i | −0.706302 | − | 0.563257i | ||||
\(725\) | −9.62924 | − | 19.9953i | −0.357621 | − | 0.742608i | ||||
\(726\) | 1.46232 | − | 22.2266i | 0.0542719 | − | 0.824907i | ||||
\(727\) | 22.2928 | − | 1.67062i | 0.826795 | − | 0.0619597i | 0.345391 | − | 0.938459i | \(-0.387746\pi\) |
0.481404 | + | 0.876499i | \(0.340127\pi\) | |||||||
\(728\) | −0.576419 | + | 13.1428i | −0.0213635 | + | 0.487105i | ||||
\(729\) | −17.9615 | − | 20.1590i | −0.665241 | − | 0.746629i | ||||
\(730\) | −8.93911 | + | 6.09458i | −0.330851 | + | 0.225571i | ||||
\(731\) | −31.1842 | − | 9.61906i | −1.15339 | − | 0.355774i | ||||
\(732\) | 14.9817 | + | 2.11884i | 0.553738 | + | 0.0783144i | ||||
\(733\) | −3.75125 | + | 24.8879i | −0.138556 | + | 0.919257i | 0.806238 | + | 0.591591i | \(0.201500\pi\) |
−0.944794 | + | 0.327666i | \(0.893738\pi\) | |||||||
\(734\) | −3.88923 | + | 6.73634i | −0.143554 | + | 0.248643i | ||||
\(735\) | 40.4465 | + | 0.151972i | 1.49189 | + | 0.00560556i | ||||
\(736\) | 1.01762 | + | 1.76258i | 0.0375101 | + | 0.0649695i | ||||
\(737\) | 72.8163 | − | 28.5783i | 2.68222 | − | 1.05269i | ||||
\(738\) | −6.04223 | − | 2.24534i | −0.222418 | − | 0.0826521i | ||||
\(739\) | 22.3909 | − | 20.7757i | 0.823663 | − | 0.764248i | −0.150855 | − | 0.988556i | \(-0.548203\pi\) |
0.974518 | + | 0.224308i | \(0.0720123\pi\) | |||||||
\(740\) | 3.63509 | + | 1.75057i | 0.133629 | + | 0.0643521i | ||||
\(741\) | 20.6220 | − | 69.0813i | 0.757568 | − | 2.53777i | ||||
\(742\) | −2.62868 | − | 24.7602i | −0.0965020 | − | 0.908974i | ||||
\(743\) | −0.978719 | − | 1.43552i | −0.0359057 | − | 0.0526640i | 0.807866 | − | 0.589366i | \(-0.200622\pi\) |
−0.843772 | + | 0.536702i | \(0.819670\pi\) | |||||||
\(744\) | −4.75633 | + | 7.11454i | −0.174375 | + | 0.260832i | ||||
\(745\) | 40.6188 | + | 3.04396i | 1.48816 | + | 0.111522i | ||||
\(746\) | 2.35345 | − | 15.6141i | 0.0861660 | − | 0.571674i | ||||
\(747\) | −7.09440 | + | 9.23614i | −0.259570 | + | 0.337933i | ||||
\(748\) | 15.4640 | + | 12.3321i | 0.565420 | + | 0.450907i | ||||
\(749\) | 2.27877 | + | 12.4825i | 0.0832646 | + | 0.456100i | ||||
\(750\) | 5.42248 | + | 3.62512i | 0.198001 | + | 0.132371i | ||||
\(751\) | −43.5774 | − | 29.7106i | −1.59016 | − | 1.08415i | −0.948320 | − | 0.317317i | \(-0.897218\pi\) |
−0.641842 | − | 0.766837i | \(-0.721829\pi\) | |||||||
\(752\) | 1.75527 | − | 7.69035i | 0.0640082 | − | 0.280438i | ||||
\(753\) | −7.90903 | − | 24.8355i | −0.288221 | − | 0.905056i | ||||
\(754\) | 18.0051i | 0.655708i | ||||||||
\(755\) | 6.71862 | − | 29.4362i | 0.244516 | − | 1.07129i | ||||
\(756\) | 13.5585 | + | 2.27330i | 0.493117 | + | 0.0826789i | ||||
\(757\) | 3.19261 | + | 13.9877i | 0.116037 | + | 0.508393i | 0.999225 | + | 0.0393724i | \(0.0125359\pi\) |
−0.883187 | + | 0.469021i | \(0.844607\pi\) | |||||||
\(758\) | −29.1296 | + | 6.64864i | −1.05803 | + | 0.241489i | ||||
\(759\) | 9.57008 | − | 14.3150i | 0.347372 | − | 0.519601i | ||||
\(760\) | −17.4114 | − | 21.8333i | −0.631579 | − | 0.791975i | ||||
\(761\) | −27.6473 | + | 25.6530i | −1.00222 | + | 0.929920i | −0.997542 | − | 0.0700691i | \(-0.977678\pi\) |
−0.00467327 | + | 0.999989i | \(0.501488\pi\) | |||||||
\(762\) | −2.30734 | − | 3.91371i | −0.0835860 | − | 0.141779i | ||||
\(763\) | −45.1822 | − | 5.38525i | −1.63571 | − | 0.194959i | ||||
\(764\) | 8.53051 | + | 1.94703i | 0.308623 | + | 0.0704412i | ||||
\(765\) | −3.76358 | − | 40.3493i | −0.136072 | − | 1.45883i | ||||
\(766\) | −6.81292 | + | 3.93344i | −0.246161 | + | 0.142121i | ||||
\(767\) | 9.12684 | − | 9.83640i | 0.329551 | − | 0.355172i | ||||
\(768\) | 1.18960 | + | 1.25891i | 0.0429261 | + | 0.0454269i | ||||
\(769\) | 4.11861 | + | 27.3252i | 0.148521 | + | 0.985371i | 0.931609 | + | 0.363461i | \(0.118405\pi\) |
−0.783089 | + | 0.621910i | \(0.786357\pi\) | |||||||
\(770\) | 8.28750 | − | 42.3093i | 0.298661 | − | 1.52472i | ||||
\(771\) | 1.76603 | + | 11.0343i | 0.0636020 | + | 0.397392i | ||||
\(772\) | −3.57472 | + | 15.6619i | −0.128657 | + | 0.563683i | ||||
\(773\) | −24.1764 | − | 3.64401i | −0.869565 | − | 0.131066i | −0.300920 | − | 0.953649i | \(-0.597294\pi\) |
−0.568644 | + | 0.822584i | \(0.692532\pi\) | |||||||
\(774\) | 0.440158 | + | 24.1740i | 0.0158212 | + | 0.868918i | ||||
\(775\) | −4.51336 | − | 29.9442i | −0.162125 | − | 1.07563i | ||||
\(776\) | −0.0965901 | − | 1.28891i | −0.00346738 | − | 0.0462690i | ||||
\(777\) | −4.19123 | + | 3.62639i | −0.150359 | + | 0.130096i | ||||
\(778\) | 2.62728 | − | 35.0586i | 0.0941925 | − | 1.25691i | ||||
\(779\) | −17.9361 | + | 1.34413i | −0.642628 | + | 0.0481583i | ||||
\(780\) | −14.5911 | − | 24.7495i | −0.522446 | − | 0.886174i | ||||
\(781\) | −6.50634 | + | 4.43595i | −0.232815 | + | 0.158731i | ||||
\(782\) | 3.01084 | + | 7.67148i | 0.107667 | + | 0.274332i | ||||
\(783\) | 18.6752 | + | 2.29526i | 0.667398 | + | 0.0820260i | ||||
\(784\) | −6.10669 | + | 3.42175i | −0.218096 | + | 0.122205i | ||||
\(785\) | −48.1223 | + | 27.7834i | −1.71756 | + | 0.991633i | ||||
\(786\) | 10.6342 | − | 1.70199i | 0.379310 | − | 0.0607081i | ||||
\(787\) | −22.8479 | + | 47.4442i | −0.814441 | + | 1.69120i | −0.0962514 | + | 0.995357i | \(0.530685\pi\) |
−0.718190 | + | 0.695847i | \(0.755029\pi\) | |||||||
\(788\) | −8.15710 | + | 1.86180i | −0.290585 | + | 0.0663240i | ||||
\(789\) | −6.76443 | + | 8.64256i | −0.240820 | + | 0.307683i | ||||
\(790\) | 14.7953 | − | 21.7007i | 0.526392 | − | 0.772075i | ||||
\(791\) | −5.84780 | − | 32.0326i | −0.207924 | − | 1.13895i | ||||
\(792\) | 5.10452 | − | 13.7363i | 0.181381 | − | 0.488099i | ||||
\(793\) | 42.9515 | − | 6.47390i | 1.52525 | − | 0.229895i | ||||
\(794\) | −0.576085 | + | 7.68732i | −0.0204445 | + | 0.272813i | ||||
\(795\) | 34.2898 | + | 42.2041i | 1.21613 | + | 1.49683i | ||||
\(796\) | 4.54257 | + | 14.7266i | 0.161007 | + | 0.521972i | ||||
\(797\) | 11.3663 | + | 28.9608i | 0.402614 | + | 1.02584i | 0.978119 | + | 0.208046i | \(0.0667103\pi\) |
−0.575505 | + | 0.817798i | \(0.695194\pi\) | |||||||
\(798\) | 37.0272 | − | 10.0276i | 1.31075 | − | 0.354972i | ||||
\(799\) | 11.6693 | − | 29.7328i | 0.412829 | − | 1.05187i | ||||
\(800\) | −6.11172 | − | 0.458010i | −0.216082 | − | 0.0161931i | ||||
\(801\) | −4.55501 | − | 0.601968i | −0.160943 | − | 0.0212695i | ||||
\(802\) | −7.52727 | − | 13.0376i | −0.265797 | − | 0.460374i | ||||
\(803\) | −15.8417 | −0.559041 | ||||||||
\(804\) | 27.6395 | − | 2.32449i | 0.974770 | − | 0.0819783i | ||||
\(805\) | 11.8047 | − | 13.5402i | 0.416061 | − | 0.477230i | ||||
\(806\) | −7.24152 | + | 23.4764i | −0.255072 | + | 0.826922i | ||||
\(807\) | −39.7823 | − | 22.4880i | −1.40040 | − | 0.791615i | ||||
\(808\) | 0.385500 | + | 2.55763i | 0.0135619 | + | 0.0899770i | ||||
\(809\) | −35.6673 | − | 13.9984i | −1.25400 | − | 0.492158i | −0.356963 | − | 0.934119i | \(-0.616188\pi\) |
−0.897034 | + | 0.441961i | \(0.854283\pi\) | |||||||
\(810\) | −27.5307 | + | 11.9791i | −0.967329 | + | 0.420904i | ||||
\(811\) | −27.4663 | + | 6.26899i | −0.964471 | + | 0.220134i | −0.675628 | − | 0.737243i | \(-0.736128\pi\) |
−0.288842 | + | 0.957377i | \(0.593270\pi\) | |||||||
\(812\) | −8.14465 | + | 5.04487i | −0.285821 | + | 0.177040i | ||||
\(813\) | 11.6246 | + | 5.46832i | 0.407693 | + | 0.191782i | ||||
\(814\) | 2.95385 | + | 5.11621i | 0.103532 | + | 0.179323i | ||||
\(815\) | 53.4927 | 1.87377 | ||||||||
\(816\) | 4.00340 | + | 5.75858i | 0.140147 | + | 0.201591i | ||||
\(817\) | 29.2721 | + | 60.7841i | 1.02410 | + | 2.12657i | ||||
\(818\) | −12.9099 | − | 16.1884i | −0.451383 | − | 0.566016i | ||||
\(819\) | 39.1634 | − | 4.88033i | 1.36848 | − | 0.170533i | ||||
\(820\) | −4.46909 | + | 5.60406i | −0.156067 | + | 0.195702i | ||||
\(821\) | −10.3892 | − | 2.37127i | −0.362586 | − | 0.0827579i | 0.0373467 | − | 0.999302i | \(-0.488109\pi\) |
−0.399933 | + | 0.916544i | \(0.630967\pi\) | |||||||
\(822\) | 11.0731 | − | 8.99662i | 0.386219 | − | 0.313793i | ||||
\(823\) | 7.90785 | − | 3.80822i | 0.275650 | − | 0.132746i | −0.290952 | − | 0.956738i | \(-0.593972\pi\) |
0.566602 | + | 0.823992i | \(0.308258\pi\) | |||||||
\(824\) | −0.0645127 | + | 0.164376i | −0.00224741 | + | 0.00572630i | ||||
\(825\) | 19.3828 | + | 48.0946i | 0.674822 | + | 1.67444i | ||||
\(826\) | 7.00677 | + | 1.37248i | 0.243797 | + | 0.0477546i | ||||
\(827\) | 8.06881 | + | 16.7551i | 0.280580 | + | 0.582631i | 0.992863 | − | 0.119262i | \(-0.0380529\pi\) |
−0.712283 | + | 0.701893i | \(0.752339\pi\) | |||||||
\(828\) | 4.70357 | − | 3.89314i | 0.163460 | − | 0.135296i | ||||
\(829\) | 19.3871 | + | 20.8943i | 0.673341 | + | 0.725689i | 0.973623 | − | 0.228161i | \(-0.0732714\pi\) |
−0.300282 | + | 0.953850i | \(0.597081\pi\) | |||||||
\(830\) | 7.29538 | + | 10.7004i | 0.253226 | + | 0.371415i | ||||
\(831\) | −12.9831 | + | 10.5485i | −0.450380 | + | 0.365923i | ||||
\(832\) | 4.30613 | + | 2.48615i | 0.149288 | + | 0.0861916i | ||||
\(833\) | −26.5162 | + | 10.0152i | −0.918730 | + | 0.347008i | ||||
\(834\) | −27.4220 | − | 5.99680i | −0.949545 | − | 0.207652i | ||||
\(835\) | −46.0674 | + | 57.7667i | −1.59423 | + | 1.99910i | ||||
\(836\) | −3.05572 | − | 40.7757i | −0.105684 | − | 1.41026i | ||||
\(837\) | 23.4270 | + | 10.5038i | 0.809757 | + | 0.363063i | ||||
\(838\) | −10.5311 | − | 15.4463i | −0.363792 | − | 0.533585i | ||||
\(839\) | −29.1272 | − | 19.8586i | −1.00558 | − | 0.685594i | −0.0557787 | − | 0.998443i | \(-0.517764\pi\) |
−0.949803 | + | 0.312849i | \(0.898717\pi\) | |||||||
\(840\) | 7.10719 | − | 13.5349i | 0.245221 | − | 0.466999i | ||||
\(841\) | 13.1270 | − | 8.94986i | 0.452656 | − | 0.308616i | ||||
\(842\) | −1.85447 | − | 0.727825i | −0.0639092 | − | 0.0250825i | ||||
\(843\) | −5.06954 | − | 1.51335i | −0.174604 | − | 0.0521224i | ||||
\(844\) | 8.82863 | + | 22.4950i | 0.303894 | + | 0.774309i | ||||
\(845\) | −28.6697 | − | 26.6016i | −0.986269 | − | 0.915124i | ||||
\(846\) | −23.6265 | − | 1.33855i | −0.812295 | − | 0.0460201i | ||||
\(847\) | 24.2136 | − | 23.9042i | 0.831989 | − | 0.821357i | ||||
\(848\) | −8.76050 | − | 3.43824i | −0.300837 | − | 0.118070i | ||||
\(849\) | 33.6987 | − | 31.8436i | 1.15654 | − | 1.09287i | ||||
\(850\) | −24.1948 | − | 5.52231i | −0.829876 | − | 0.189414i | ||||
\(851\) | 2.46149i | 0.0843787i | ||||||||
\(852\) | −2.66059 | + | 0.847284i | −0.0911504 | + | 0.0290275i | ||||
\(853\) | −8.50711 | − | 27.5794i | −0.291278 | − | 0.944299i | −0.976418 | − | 0.215888i | \(-0.930735\pi\) |
0.685140 | − | 0.728411i | \(-0.259741\pi\) | |||||||
\(854\) | 14.9631 | + | 17.6153i | 0.512027 | + | 0.602783i | ||||
\(855\) | −55.8556 | + | 62.4403i | −1.91022 | + | 2.13541i | ||||
\(856\) | 4.58284 | + | 1.41362i | 0.156638 | + | 0.0483165i | ||||
\(857\) | 0.886952 | − | 0.133686i | 0.0302977 | − | 0.00456664i | −0.133876 | − | 0.990998i | \(-0.542742\pi\) |
0.164174 | + | 0.986431i | \(0.447504\pi\) | |||||||
\(858\) | 2.76177 | − | 41.9775i | 0.0942852 | − | 1.43309i | ||||
\(859\) | 23.7038 | + | 25.5466i | 0.808762 | + | 0.871638i | 0.993810 | − | 0.111091i | \(-0.0354346\pi\) |
−0.185048 | + | 0.982729i | \(0.559244\pi\) | |||||||
\(860\) | 25.6915 | + | 7.92477i | 0.876072 | + | 0.270232i | ||||
\(861\) | −4.62413 | − | 8.69296i | −0.157590 | − | 0.296255i | ||||
\(862\) | 9.77756 | − | 3.01598i | 0.333025 | − | 0.102725i | ||||
\(863\) | 18.9817 | + | 10.9591i | 0.646143 | + | 0.373051i | 0.786977 | − | 0.616982i | \(-0.211645\pi\) |
−0.140834 | + | 0.990033i | \(0.544978\pi\) | |||||||
\(864\) | 3.12761 | − | 4.14946i | 0.106404 | − | 0.141168i | ||||
\(865\) | −25.1166 | + | 7.74746i | −0.853991 | + | 0.263421i | ||||
\(866\) | 2.27469 | − | 1.09543i | 0.0772970 | − | 0.0372243i | ||||
\(867\) | −0.462353 | − | 0.938144i | −0.0157023 | − | 0.0318610i | ||||
\(868\) | −12.6486 | + | 3.30217i | −0.429322 | + | 0.112083i | ||||
\(869\) | 35.7990 | − | 14.0501i | 1.21440 | − | 0.476616i | ||||
\(870\) | 8.90620 | − | 18.9329i | 0.301949 | − | 0.641885i | ||||
\(871\) | 74.1220 | − | 29.0907i | 2.51153 | − | 0.985702i | ||||
\(872\) | −9.68806 | + | 14.2098i | −0.328079 | + | 0.481204i | ||||
\(873\) | −3.76401 | + | 0.931516i | −0.127392 | + | 0.0315270i | ||||
\(874\) | 7.39215 | − | 15.3500i | 0.250043 | − | 0.519220i | ||||
\(875\) | 2.51681 | + | 9.64038i | 0.0850836 | + | 0.325904i | ||||
\(876\) | −5.38254 | − | 1.60678i | −0.181859 | − | 0.0542882i | ||||
\(877\) | 0.433546 | + | 5.78527i | 0.0146398 | + | 0.195355i | 0.999728 | + | 0.0233066i | \(0.00741941\pi\) |
−0.985089 | + | 0.172048i | \(0.944962\pi\) | |||||||
\(878\) | −8.24627 | − | 36.1293i | −0.278298 | − | 1.21930i | ||||
\(879\) | −3.62872 | − | 2.84016i | −0.122394 | − | 0.0957962i | ||||
\(880\) | −12.7402 | − | 10.1600i | −0.429472 | − | 0.342492i | ||||
\(881\) | 6.36877 | 0.214569 | 0.107285 | − | 0.994228i | \(-0.465784\pi\) | ||||
0.107285 | + | 0.994228i | \(0.465784\pi\) | |||||||
\(882\) | 13.1809 | + | 16.3482i | 0.443823 | + | 0.550474i | ||||
\(883\) | −39.3192 | −1.32320 | −0.661598 | − | 0.749859i | \(-0.730121\pi\) | ||||
−0.661598 | + | 0.749859i | \(0.730121\pi\) | |||||||
\(884\) | 15.7413 | + | 12.5533i | 0.529437 | + | 0.422212i | ||||
\(885\) | −14.4627 | + | 5.82867i | −0.486158 | + | 0.195929i | ||||
\(886\) | −5.51815 | − | 24.1766i | −0.185386 | − | 0.812228i | ||||
\(887\) | −4.01599 | − | 53.5896i | −0.134844 | − | 1.79936i | −0.497525 | − | 0.867450i | \(-0.665758\pi\) |
0.362681 | − | 0.931913i | \(-0.381861\pi\) | |||||||
\(888\) | 0.484706 | + | 2.03794i | 0.0162657 | + | 0.0683889i | ||||
\(889\) | 1.33403 | − | 6.81047i | 0.0447418 | − | 0.228416i | ||||
\(890\) | −2.21680 | + | 4.60323i | −0.0743073 | + | 0.154301i | ||||
\(891\) | −43.1878 | − | 8.21578i | −1.44684 | − | 0.275239i | ||||
\(892\) | 1.09729 | − | 1.60942i | 0.0367399 | − | 0.0538875i | ||||
\(893\) | −61.4673 | + | 24.1242i | −2.05693 | + | 0.807284i | ||||
\(894\) | 12.0719 | + | 17.3645i | 0.403745 | + | 0.580755i | ||||
\(895\) | 77.7037 | − | 30.4965i | 2.59735 | − | 1.01938i | ||||
\(896\) | 0.0819252 | + | 2.64448i | 0.00273693 | + | 0.0883460i | ||||
\(897\) | 9.74169 | − | 14.5717i | 0.325265 | − | 0.486534i | ||||
\(898\) | 19.4434 | − | 9.36345i | 0.648835 | − | 0.312462i | ||||
\(899\) | −17.0968 | + | 5.27367i | −0.570210 | + | 0.175887i | ||||
\(900\) | 1.70759 | + | 18.3071i | 0.0569197 | + | 0.610236i | ||||
\(901\) | −33.0020 | − | 19.0537i | −1.09946 | − | 0.634771i | ||||
\(902\) | −10.0292 | + | 3.09360i | −0.333936 | + | 0.103006i | ||||
\(903\) | −24.0158 | + | 28.0581i | −0.799194 | + | 0.933717i | ||||
\(904\) | −11.7605 | − | 3.62763i | −0.391148 | − | 0.120653i | ||||
\(905\) | 55.1558 | + | 59.4438i | 1.83344 | + | 1.97598i | ||||
\(906\) | 14.0614 | − | 6.92999i | 0.467159 | − | 0.230234i | ||||
\(907\) | 30.8899 | − | 4.65590i | 1.02568 | − | 0.154597i | 0.385410 | − | 0.922745i | \(-0.374060\pi\) |
0.640271 | + | 0.768149i | \(0.278822\pi\) | |||||||
\(908\) | 9.73239 | + | 3.00205i | 0.322981 | + | 0.0996264i | ||||
\(909\) | 7.37195 | − | 2.42177i | 0.244512 | − | 0.0803252i | ||||
\(910\) | 8.43611 | − | 43.0680i | 0.279654 | − | 1.42769i | ||||
\(911\) | 12.2038 | + | 39.5639i | 0.404331 | + | 1.31081i | 0.897553 | + | 0.440906i | \(0.145343\pi\) |
−0.493222 | + | 0.869903i | \(0.664181\pi\) | |||||||
\(912\) | 3.09754 | − | 14.1643i | 0.102570 | − | 0.469028i | ||||
\(913\) | 18.9629i | 0.627581i | ||||||||
\(914\) | −22.7186 | − | 5.18538i | −0.751465 | − | 0.171517i | ||||
\(915\) | −48.3670 | − | 14.4384i | −1.59896 | − | 0.477319i | ||||
\(916\) | −12.8205 | − | 5.03166i | −0.423600 | − | 0.166251i | ||||
\(917\) | 13.8727 | + | 8.84173i | 0.458117 | + | 0.291980i | ||||
\(918\) | 15.0271 | − | 14.7269i | 0.495970 | − | 0.486060i | ||||
\(919\) | −2.95362 | − | 2.74056i | −0.0974310 | − | 0.0904028i | 0.629954 | − | 0.776633i | \(-0.283074\pi\) |
−0.727385 | + | 0.686230i | \(0.759264\pi\) | |||||||
\(920\) | −2.48051 | − | 6.32024i | −0.0817800 | − | 0.208372i | ||||
\(921\) | 2.71405 | − | 2.56464i | 0.0894311 | − | 0.0845079i | ||||
\(922\) | −3.69507 | − | 1.45021i | −0.121691 | − | 0.0477601i | ||||
\(923\) | −6.62301 | + | 4.51549i | −0.217999 | + | 0.148629i | ||||
\(924\) | 19.7625 | − | 10.5124i | 0.650137 | − | 0.345834i | ||||
\(925\) | −6.12442 | − | 4.17556i | −0.201370 | − | 0.137292i | ||||
\(926\) | 3.53632 | + | 5.18683i | 0.116211 | + | 0.170450i | ||||
\(927\) | 0.518525 | + | 0.108458i | 0.0170306 | + | 0.00356223i | ||||
\(928\) | 0.270604 | + | 3.61097i | 0.00888303 | + | 0.118536i | ||||
\(929\) | 15.0978 | − | 18.9320i | 0.495343 | − | 0.621140i | −0.469829 | − | 0.882758i | \(-0.655684\pi\) |
0.965172 | + | 0.261617i | \(0.0842558\pi\) | |||||||
\(930\) | 19.2272 | − | 21.1041i | 0.630486 | − | 0.692031i | ||||
\(931\) | 52.4631 | + | 26.1013i | 1.71941 | + | 0.855435i | ||||
\(932\) | 16.8990 | + | 9.75661i | 0.553544 | + | 0.319589i | ||||
\(933\) | −17.2289 | − | 6.58150i | −0.564049 | − | 0.215469i | ||||
\(934\) | 16.6278 | + | 24.3885i | 0.544078 | + | 0.798015i | ||||
\(935\) | −44.8800 | − | 48.3692i | −1.46773 | − | 1.58184i | ||||
\(936\) | 5.19605 | − | 13.9826i | 0.169838 | − | 0.457037i | ||||
\(937\) | 16.2329 | + | 33.7080i | 0.530306 | + | 1.10119i | 0.978307 | + | 0.207159i | \(0.0664217\pi\) |
−0.448001 | + | 0.894033i | \(0.647864\pi\) | |||||||
\(938\) | 33.9276 | + | 25.3783i | 1.10777 | + | 0.828630i | ||||
\(939\) | 33.1491 | + | 4.68822i | 1.08178 | + | 0.152994i | ||||
\(940\) | −9.61385 | + | 24.4957i | −0.313569 | + | 0.798961i | ||||
\(941\) | −4.21260 | + | 2.02868i | −0.137327 | + | 0.0661332i | −0.501285 | − | 0.865282i | \(-0.667139\pi\) |
0.363958 | + | 0.931415i | \(0.381425\pi\) | |||||||
\(942\) | −26.9509 | − | 10.2953i | −0.878107 | − | 0.335440i | ||||
\(943\) | −4.26339 | − | 0.973090i | −0.138835 | − | 0.0316882i | ||||
\(944\) | 1.68257 | − | 2.10988i | 0.0547631 | − | 0.0686708i | ||||
\(945\) | −43.5955 | − | 14.2403i | −1.41816 | − | 0.463238i | ||||
\(946\) | 24.5452 | + | 30.7788i | 0.798034 | + | 1.00070i | ||||
\(947\) | −15.0724 | − | 31.2982i | −0.489788 | − | 1.01705i | −0.988631 | − | 0.150362i | \(-0.951956\pi\) |
0.498843 | − | 0.866692i | \(-0.333758\pi\) | |||||||
\(948\) | 13.5885 | − | 1.14280i | 0.441335 | − | 0.0371164i | ||||
\(949\) | −16.1257 | −0.523464 | ||||||||
\(950\) | 25.6525 | + | 44.4314i | 0.832276 | + | 1.44154i | ||||
\(951\) | −1.09660 | − | 13.0392i | −0.0355596 | − | 0.422824i | ||||
\(952\) | −1.26793 | + | 10.6379i | −0.0410938 | + | 0.344777i | ||||
\(953\) | 15.4181 | − | 3.51907i | 0.499440 | − | 0.113994i | 0.0346225 | − | 0.999400i | \(-0.488977\pi\) |
0.464817 | + | 0.885407i | \(0.346120\pi\) | |||||||
\(954\) | −5.78034 | + | 27.6351i | −0.187145 | + | 0.894720i | ||||
\(955\) | −27.1718 | − | 10.6642i | −0.879259 | − | 0.345084i | ||||
\(956\) | −2.49627 | − | 16.5617i | −0.0807351 | − | 0.535643i | ||||
\(957\) | 26.3914 | − | 15.5591i | 0.853112 | − | 0.502954i | ||||
\(958\) | 5.31813 | − | 17.2410i | 0.171821 | − | 0.557030i | ||||
\(959\) | 21.7726 | + | 0.954904i | 0.703073 | + | 0.0308355i | ||||
\(960\) | −3.29825 | − | 4.74427i | −0.106451 | − | 0.153121i | ||||
\(961\) | 6.58686 | 0.212479 | ||||||||
\(962\) | 3.00682 | + | 5.20796i | 0.0969436 | + | 0.167911i | ||||
\(963\) | 1.88502 | − | 14.2637i | 0.0607440 | − | 0.459641i | ||||
\(964\) | 21.1189 | + | 1.58265i | 0.680195 | + | 0.0509736i | ||||
\(965\) | 19.5792 | − | 49.8870i | 0.630277 | − | 1.60592i | ||||
\(966\) | 9.32106 | + | 0.323824i | 0.299900 | + | 0.0104189i | ||||
\(967\) | −17.8917 | − | 45.5872i | −0.575357 | − | 1.46599i | −0.861480 | − | 0.507792i | \(-0.830462\pi\) |
0.286123 | − | 0.958193i | \(-0.407633\pi\) | |||||||
\(968\) | −3.79063 | − | 12.2889i | −0.121836 | − | 0.394981i | ||||
\(969\) | 20.9508 | − | 54.8445i | 0.673036 | − | 1.76186i | ||||
\(970\) | −0.322224 | + | 4.29978i | −0.0103460 | + | 0.138058i | ||||
\(971\) | 27.1341 | − | 4.08981i | 0.870776 | − | 0.131248i | 0.301571 | − | 0.953444i | \(-0.402489\pi\) |
0.569205 | + | 0.822195i | \(0.307251\pi\) | |||||||
\(972\) | −13.8406 | − | 7.17192i | −0.443939 | − | 0.230039i | ||||
\(973\) | −25.2393 | − | 34.6623i | −0.809133 | − | 1.11122i | ||||
\(974\) | −14.5405 | + | 21.3270i | −0.465907 | + | 0.683360i | ||||
\(975\) | 19.7304 | + | 48.9570i | 0.631877 | + | 1.56788i | ||||
\(976\) | 8.51672 | − | 1.94389i | 0.272614 | − | 0.0622223i | ||||
\(977\) | −21.4393 | + | 44.5191i | −0.685903 | + | 1.42429i | 0.208949 | + | 0.977927i | \(0.432996\pi\) |
−0.894851 | + | 0.446365i | \(0.852718\pi\) | |||||||
\(978\) | 17.5134 | + | 21.5556i | 0.560017 | + | 0.689273i | ||||
\(979\) | −6.47882 | + | 3.74055i | −0.207064 | + | 0.119549i | ||||
\(980\) | 21.8456 | − | 8.25118i | 0.697833 | − | 0.263574i | ||||
\(981\) | 46.8848 | + | 21.5360i | 1.49692 | + | 0.687593i | ||||
\(982\) | 7.82241 | + | 19.9312i | 0.249623 | + | 0.636029i | ||||
\(983\) | −7.18366 | + | 4.89774i | −0.229123 | + | 0.156214i | −0.672440 | − | 0.740151i | \(-0.734754\pi\) |
0.443317 | + | 0.896365i | \(0.353802\pi\) | |||||||
\(984\) | −3.72141 | + | 0.0338767i | −0.118634 | + | 0.00107995i | ||||
\(985\) | 27.8338 | − | 2.08585i | 0.886858 | − | 0.0664608i | ||||
\(986\) | −1.09574 | + | 14.6216i | −0.0348953 | + | 0.465646i | ||||
\(987\) | −25.6287 | − | 25.4920i | −0.815769 | − | 0.811420i | ||||
\(988\) | −3.11051 | − | 41.5069i | −0.0989586 | − | 1.32051i | ||||
\(989\) | 2.44471 | + | 16.2196i | 0.0777372 | + | 0.515753i | ||||
\(990\) | −23.6682 | + | 42.7745i | −0.752225 | + | 1.35946i | ||||
\(991\) | −1.12414 | − | 0.169437i | −0.0357095 | − | 0.00538235i | 0.131163 | − | 0.991361i | \(-0.458129\pi\) |
−0.166873 | + | 0.985978i | \(0.553367\pi\) | |||||||
\(992\) | −1.09947 | + | 4.81708i | −0.0349082 | + | 0.152943i | ||||
\(993\) | −9.95197 | − | 3.80168i | −0.315816 | − | 0.120643i | ||||
\(994\) | −3.89830 | − | 1.73073i | −0.123647 | − | 0.0548955i | ||||
\(995\) | −7.66257 | − | 50.8378i | −0.242920 | − | 1.61167i | ||||
\(996\) | −1.92337 | + | 6.44305i | −0.0609442 | + | 0.204156i | ||||
\(997\) | 2.35397 | − | 2.53698i | 0.0745511 | − | 0.0803470i | −0.694675 | − | 0.719324i | \(-0.744452\pi\) |
0.769226 | + | 0.638977i | \(0.220642\pi\) | |||||||
\(998\) | −6.86165 | + | 3.96158i | −0.217202 | + | 0.125402i | ||||
\(999\) | 5.78509 | − | 2.45482i | 0.183032 | − | 0.0776671i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 882.2.bk.a.131.14 | yes | 672 | |
9.2 | odd | 6 | 882.2.bc.a.425.39 | ✓ | 672 | ||
49.3 | odd | 42 | 882.2.bc.a.689.39 | yes | 672 | ||
441.101 | even | 42 | inner | 882.2.bk.a.101.14 | yes | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.bc.a.425.39 | ✓ | 672 | 9.2 | odd | 6 | ||
882.2.bc.a.689.39 | yes | 672 | 49.3 | odd | 42 | ||
882.2.bk.a.101.14 | yes | 672 | 441.101 | even | 42 | inner | |
882.2.bk.a.131.14 | yes | 672 | 1.1 | even | 1 | trivial |