Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [273,2,Mod(152,273)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(273, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("273.152");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 273 = 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 273.bf (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: | \(2.17991597518\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 152.1 | ||
Character | \(\chi\) | \(=\) | 273.152 |
Dual form | 273.2.bf.b.185.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(106\) | \(157\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.36551 | + | 1.36573i | −1.67267 | + | 0.965716i | −0.706533 | + | 0.707680i | \(0.749742\pi\) |
−0.966135 | + | 0.258035i | \(0.916925\pi\) | |||||||
\(3\) | 1.47077 | + | 0.914786i | 0.849150 | + | 0.528152i | ||||
\(4\) | 2.73043 | − | 4.72924i | 1.36521 | − | 2.36462i | ||||
\(5\) | 0.121221 | − | 0.209960i | 0.0542116 | − | 0.0938972i | −0.837646 | − | 0.546213i | \(-0.816069\pi\) |
0.891858 | + | 0.452316i | \(0.149402\pi\) | |||||||
\(6\) | −4.72847 | − | 0.155263i | −1.93039 | − | 0.0633860i | ||||
\(7\) | −0.288550 | − | 2.62997i | −0.109062 | − | 0.994035i | ||||
\(8\) | 9.45317i | 3.34220i | ||||||||
\(9\) | 1.32633 | + | 2.69088i | 0.442111 | + | 0.896960i | ||||
\(10\) | 0.662218i | 0.209412i | ||||||||
\(11\) | − | 4.97611i | − | 1.50035i | −0.661238 | − | 0.750176i | \(-0.729969\pi\) | ||
0.661238 | − | 0.750176i | \(-0.270031\pi\) | |||||||
\(12\) | 8.34207 | − | 4.45787i | 2.40815 | − | 1.28688i | ||||
\(13\) | 3.55884 | + | 0.578487i | 0.987045 | + | 0.160444i | ||||
\(14\) | 4.27439 | + | 5.82714i | 1.14238 | + | 1.55737i | ||||
\(15\) | 0.370357 | − | 0.197913i | 0.0956257 | − | 0.0511008i | ||||
\(16\) | −7.44960 | − | 12.9031i | −1.86240 | − | 3.22577i | ||||
\(17\) | 1.75068 | − | 3.03226i | 0.424601 | − | 0.735431i | −0.571782 | − | 0.820406i | \(-0.693748\pi\) |
0.996383 | + | 0.0849746i | \(0.0270809\pi\) | |||||||
\(18\) | −6.81247 | − | 4.55390i | −1.60571 | − | 1.07336i | ||||
\(19\) | − | 1.74748i | − | 0.400900i | −0.979704 | − | 0.200450i | \(-0.935760\pi\) | ||
0.979704 | − | 0.200450i | \(-0.0642403\pi\) | |||||||
\(20\) | −0.661968 | − | 1.14656i | −0.148021 | − | 0.256379i | ||||
\(21\) | 1.98147 | − | 4.13204i | 0.432392 | − | 0.901686i | ||||
\(22\) | 6.79601 | + | 11.7710i | 1.44891 | + | 2.50959i | ||||
\(23\) | 2.45003 | − | 1.41453i | 0.510866 | − | 0.294949i | −0.222323 | − | 0.974973i | \(-0.571364\pi\) |
0.733190 | + | 0.680024i | \(0.238031\pi\) | |||||||
\(24\) | −8.64762 | + | 13.9034i | −1.76519 | + | 2.83803i | ||||
\(25\) | 2.47061 | + | 4.27922i | 0.494122 | + | 0.855845i | ||||
\(26\) | −9.20853 | + | 3.49199i | −1.80594 | + | 0.684836i | ||||
\(27\) | −0.510850 | + | 5.17098i | −0.0983131 | + | 0.995156i | ||||
\(28\) | −13.2256 | − | 5.81632i | −2.49941 | − | 1.09918i | ||||
\(29\) | 0.841553 | + | 0.485871i | 0.156272 | + | 0.0902239i | 0.576097 | − | 0.817381i | \(-0.304575\pi\) |
−0.419825 | + | 0.907605i | \(0.637908\pi\) | |||||||
\(30\) | −0.605788 | + | 0.973971i | −0.110601 | + | 0.177822i | ||||
\(31\) | −4.95063 | + | 2.85824i | −0.889159 | + | 0.513356i | −0.873667 | − | 0.486524i | \(-0.838265\pi\) |
−0.0154914 | + | 0.999880i | \(0.504931\pi\) | |||||||
\(32\) | 18.8709 | + | 10.8951i | 3.33593 | + | 1.92600i | ||||
\(33\) | 4.55207 | − | 7.31871i | 0.792414 | − | 1.27402i | ||||
\(34\) | 9.56379i | 1.64018i | ||||||||
\(35\) | −0.587168 | − | 0.258223i | −0.0992495 | − | 0.0436476i | ||||
\(36\) | 16.3473 | + | 1.07471i | 2.72454 | + | 0.179119i | ||||
\(37\) | 3.49491 | + | 6.05336i | 0.574560 | + | 0.995166i | 0.996089 | + | 0.0883518i | \(0.0281600\pi\) |
−0.421530 | + | 0.906815i | \(0.638507\pi\) | |||||||
\(38\) | 2.38658 | + | 4.13368i | 0.387155 | + | 0.670572i | ||||
\(39\) | 4.70505 | + | 4.10640i | 0.753411 | + | 0.657550i | ||||
\(40\) | 1.98479 | + | 1.14592i | 0.313823 | + | 0.181186i | ||||
\(41\) | −0.800378 | + | 1.38629i | −0.124998 | + | 0.216503i | −0.921732 | − | 0.387827i | \(-0.873226\pi\) |
0.796734 | + | 0.604330i | \(0.206559\pi\) | |||||||
\(42\) | 0.956061 | + | 12.4805i | 0.147523 | + | 1.92579i | ||||
\(43\) | −1.17144 | − | 2.02899i | −0.178643 | − | 0.309418i | 0.762773 | − | 0.646666i | \(-0.223837\pi\) |
−0.941416 | + | 0.337248i | \(0.890504\pi\) | |||||||
\(44\) | −23.5332 | − | 13.5869i | −3.54776 | − | 2.04830i | ||||
\(45\) | 0.725758 | + | 0.0477132i | 0.108190 | + | 0.00711266i | ||||
\(46\) | −3.86371 | + | 6.69215i | −0.569673 | + | 0.986703i | ||||
\(47\) | 0.0888026 | − | 0.153811i | 0.0129532 | − | 0.0224356i | −0.859476 | − | 0.511176i | \(-0.829210\pi\) |
0.872429 | + | 0.488740i | \(0.162543\pi\) | |||||||
\(48\) | 0.846911 | − | 25.7923i | 0.122241 | − | 3.72279i | ||||
\(49\) | −6.83348 | + | 1.51775i | −0.976211 | + | 0.216822i | ||||
\(50\) | −11.6885 | − | 6.74837i | −1.65301 | − | 0.954363i | ||||
\(51\) | 5.34871 | − | 2.85827i | 0.748970 | − | 0.400237i | ||||
\(52\) | 12.4530 | − | 15.2511i | 1.72691 | − | 2.11495i | ||||
\(53\) | −3.86514 | + | 2.23154i | −0.530918 | + | 0.306526i | −0.741390 | − | 0.671074i | \(-0.765833\pi\) |
0.210472 | + | 0.977600i | \(0.432500\pi\) | |||||||
\(54\) | −5.85373 | − | 12.9297i | −0.796592 | − | 1.75951i | ||||
\(55\) | −1.04479 | − | 0.603207i | −0.140879 | − | 0.0813365i | ||||
\(56\) | 24.8615 | − | 2.72771i | 3.32226 | − | 0.364505i | ||||
\(57\) | 1.59857 | − | 2.57014i | 0.211736 | − | 0.340424i | ||||
\(58\) | −2.65427 | −0.348523 | ||||||||
\(59\) | −1.35742 | + | 2.35112i | −0.176721 | + | 0.306090i | −0.940756 | − | 0.339086i | \(-0.889882\pi\) |
0.764034 | + | 0.645175i | \(0.223216\pi\) | |||||||
\(60\) | 0.0752562 | − | 2.29189i | 0.00971553 | − | 0.295882i | ||||
\(61\) | − | 8.90472i | − | 1.14013i | −0.821599 | − | 0.570066i | \(-0.806918\pi\) | ||
0.821599 | − | 0.570066i | \(-0.193082\pi\) | |||||||
\(62\) | 7.80717 | − | 13.5224i | 0.991512 | − | 1.71735i | ||||
\(63\) | 6.69422 | − | 4.26467i | 0.843393 | − | 0.537298i | ||||
\(64\) | −29.7205 | −3.71506 | ||||||||
\(65\) | 0.552865 | − | 0.677091i | 0.0685744 | − | 0.0839828i | ||||
\(66\) | −0.772608 | + | 23.5294i | −0.0951014 | + | 2.89627i | ||||
\(67\) | 1.28614 | 0.157127 | 0.0785637 | − | 0.996909i | \(-0.474967\pi\) | ||||
0.0785637 | + | 0.996909i | \(0.474967\pi\) | |||||||
\(68\) | −9.56019 | − | 16.5587i | −1.15934 | − | 2.00804i | ||||
\(69\) | 4.89742 | + | 0.160811i | 0.589580 | + | 0.0193594i | ||||
\(70\) | 1.74161 | − | 0.191083i | 0.208163 | − | 0.0228388i | ||||
\(71\) | −3.46933 | + | 2.00302i | −0.411734 | + | 0.237715i | −0.691535 | − | 0.722343i | \(-0.743065\pi\) |
0.279800 | + | 0.960058i | \(0.409732\pi\) | |||||||
\(72\) | −25.4373 | + | 12.5380i | −2.99782 | + | 1.47762i | ||||
\(73\) | 2.79901 | − | 1.61601i | 0.327599 | − | 0.189140i | −0.327175 | − | 0.944964i | \(-0.606097\pi\) |
0.654775 | + | 0.755824i | \(0.272763\pi\) | |||||||
\(74\) | −16.5345 | − | 9.54619i | −1.92210 | − | 1.10972i | ||||
\(75\) | −0.280873 | + | 8.55384i | −0.0324324 | + | 0.987712i | ||||
\(76\) | −8.26425 | − | 4.77137i | −0.947974 | − | 0.547313i | ||||
\(77\) | −13.0870 | + | 1.43585i | −1.49140 | + | 0.163631i | ||||
\(78\) | −16.7381 | − | 3.28792i | −1.89521 | − | 0.372284i | ||||
\(79\) | 1.62940 | − | 2.82221i | 0.183322 | − | 0.317523i | −0.759688 | − | 0.650288i | \(-0.774648\pi\) |
0.943010 | + | 0.332765i | \(0.107982\pi\) | |||||||
\(80\) | −3.61218 | −0.403854 | ||||||||
\(81\) | −5.48168 | + | 7.13801i | −0.609076 | + | 0.793112i | ||||
\(82\) | − | 4.37239i | − | 0.482850i | ||||||
\(83\) | 11.4444 | 1.25619 | 0.628095 | − | 0.778137i | \(-0.283835\pi\) | ||||
0.628095 | + | 0.778137i | \(0.283835\pi\) | |||||||
\(84\) | −14.1312 | − | 20.6531i | −1.54184 | − | 2.25344i | ||||
\(85\) | −0.424437 | − | 0.735146i | −0.0460366 | − | 0.0797377i | ||||
\(86\) | 5.54210 | + | 3.19973i | 0.597620 | + | 0.345036i | ||||
\(87\) | 0.793263 | + | 1.48445i | 0.0850468 | + | 0.159149i | ||||
\(88\) | 47.0400 | 5.01448 | ||||||||
\(89\) | 4.87310 | + | 8.44046i | 0.516548 | + | 0.894687i | 0.999815 | + | 0.0192147i | \(0.00611659\pi\) |
−0.483267 | + | 0.875473i | \(0.660550\pi\) | |||||||
\(90\) | −1.78195 | + | 0.878322i | −0.187834 | + | 0.0925832i | ||||
\(91\) | 0.494502 | − | 9.52657i | 0.0518379 | − | 0.998656i | ||||
\(92\) | − | 15.4490i | − | 1.61067i | ||||||
\(93\) | −9.89592 | − | 0.324941i | −1.02616 | − | 0.0336948i | ||||
\(94\) | 0.485121i | 0.0500364i | ||||||||
\(95\) | −0.366902 | − | 0.211831i | −0.0376433 | − | 0.0217334i | ||||
\(96\) | 17.7880 | + | 33.2870i | 1.81548 | + | 3.39734i | ||||
\(97\) | −4.44012 | + | 2.56350i | −0.450826 | + | 0.260284i | −0.708179 | − | 0.706033i | \(-0.750483\pi\) |
0.257353 | + | 0.966317i | \(0.417150\pi\) | |||||||
\(98\) | 14.0918 | − | 12.9229i | 1.42349 | − | 1.30541i | ||||
\(99\) | 13.3901 | − | 6.59997i | 1.34576 | − | 0.663322i | ||||
\(100\) | 26.9833 | 2.69833 | ||||||||
\(101\) | −15.6200 | −1.55424 | −0.777122 | − | 0.629350i | \(-0.783321\pi\) | ||||
−0.777122 | + | 0.629350i | \(0.783321\pi\) | |||||||
\(102\) | −8.74882 | + | 14.0661i | −0.866263 | + | 1.39276i | ||||
\(103\) | −3.43624 | − | 1.98391i | −0.338583 | − | 0.195481i | 0.321062 | − | 0.947058i | \(-0.395960\pi\) |
−0.659645 | + | 0.751577i | \(0.729293\pi\) | |||||||
\(104\) | −5.46854 | + | 33.6423i | −0.536234 | + | 3.29890i | ||||
\(105\) | −0.627371 | − | 0.916919i | −0.0612251 | − | 0.0894822i | ||||
\(106\) | 6.09536 | − | 10.5575i | 0.592033 | − | 1.02543i | ||||
\(107\) | 11.1005 | − | 6.40888i | 1.07313 | − | 0.619570i | 0.144092 | − | 0.989564i | \(-0.453974\pi\) |
0.929034 | + | 0.369995i | \(0.120640\pi\) | |||||||
\(108\) | 23.0599 | + | 16.5349i | 2.21894 | + | 1.59107i | ||||
\(109\) | −5.46755 | − | 9.47008i | −0.523696 | − | 0.907069i | −0.999620 | − | 0.0275819i | \(-0.991219\pi\) |
0.475923 | − | 0.879487i | \(-0.342114\pi\) | |||||||
\(110\) | 3.29527 | 0.314192 | ||||||||
\(111\) | −0.397320 | + | 12.1002i | −0.0377120 | + | 1.14850i | ||||
\(112\) | −31.7851 | + | 23.3154i | −3.00341 | + | 2.20310i | ||||
\(113\) | 8.18524 | − | 4.72575i | 0.770002 | − | 0.444561i | −0.0628730 | − | 0.998022i | \(-0.520026\pi\) |
0.832875 | + | 0.553460i | \(0.186693\pi\) | |||||||
\(114\) | −0.271320 | + | 8.26291i | −0.0254114 | + | 0.773893i | ||||
\(115\) | − | 0.685879i | − | 0.0639586i | ||||||
\(116\) | 4.59560 | − | 2.65327i | 0.426690 | − | 0.246350i | ||||
\(117\) | 3.16357 | + | 10.3437i | 0.292472 | + | 0.956274i | ||||
\(118\) | − | 7.41547i | − | 0.682649i | ||||||
\(119\) | −8.47991 | − | 3.72927i | −0.777352 | − | 0.341861i | ||||
\(120\) | 1.87090 | + | 3.50104i | 0.170789 | + | 0.319600i | ||||
\(121\) | −13.7616 | −1.25106 | ||||||||
\(122\) | 12.1614 | + | 21.0642i | 1.10104 | + | 1.90706i | ||||
\(123\) | −2.44534 | + | 1.30675i | −0.220488 | + | 0.117825i | ||||
\(124\) | 31.2169i | 2.80336i | ||||||||
\(125\) | 2.41016 | 0.215572 | ||||||||
\(126\) | −10.0109 | + | 19.2306i | −0.891840 | + | 1.71320i | ||||
\(127\) | −9.34664 | + | 16.1889i | −0.829380 | + | 1.43653i | 0.0691447 | + | 0.997607i | \(0.477973\pi\) |
−0.898525 | + | 0.438922i | \(0.855360\pi\) | |||||||
\(128\) | 32.5625 | − | 18.8000i | 2.87815 | − | 1.66170i | ||||
\(129\) | 0.133176 | − | 4.05580i | 0.0117255 | − | 0.357093i | ||||
\(130\) | −0.383085 | + | 2.35673i | −0.0335988 | + | 0.206699i | ||||
\(131\) | −2.66426 | + | 4.61464i | −0.232778 | + | 0.403183i | −0.958624 | − | 0.284674i | \(-0.908115\pi\) |
0.725847 | + | 0.687856i | \(0.241448\pi\) | |||||||
\(132\) | −22.1828 | − | 41.5110i | −1.93077 | − | 3.61307i | ||||
\(133\) | −4.59582 | + | 0.504235i | −0.398508 | + | 0.0437227i | ||||
\(134\) | −3.04238 | + | 1.75652i | −0.262822 | + | 0.151740i | ||||
\(135\) | 1.02378 | + | 0.734088i | 0.0881126 | + | 0.0631803i | ||||
\(136\) | 28.6645 | + | 16.5494i | 2.45796 | + | 1.41910i | ||||
\(137\) | −4.30573 | − | 2.48591i | −0.367863 | − | 0.212386i | 0.304661 | − | 0.952461i | \(-0.401457\pi\) |
−0.672524 | + | 0.740075i | \(0.734790\pi\) | |||||||
\(138\) | −11.8045 | + | 6.30814i | −1.00487 | + | 0.536985i | ||||
\(139\) | −7.04418 | + | 4.06696i | −0.597480 | + | 0.344955i | −0.768050 | − | 0.640390i | \(-0.778773\pi\) |
0.170570 | + | 0.985346i | \(0.445439\pi\) | |||||||
\(140\) | −2.82441 | + | 2.07180i | −0.238707 | + | 0.175099i | ||||
\(141\) | 0.271312 | − | 0.144985i | 0.0228486 | − | 0.0122099i | ||||
\(142\) | 5.47116 | − | 9.47633i | 0.459130 | − | 0.795236i | ||||
\(143\) | 2.87862 | − | 17.7092i | 0.240722 | − | 1.48092i | ||||
\(144\) | 24.8400 | − | 37.1598i | 2.07000 | − | 3.09665i | ||||
\(145\) | 0.204027 | − | 0.117795i | 0.0169435 | − | 0.00978236i | ||||
\(146\) | −4.41406 | + | 7.64537i | −0.365310 | + | 0.632736i | ||||
\(147\) | −11.4389 | − | 4.01890i | −0.943464 | − | 0.331474i | ||||
\(148\) | 38.1704 | 3.13758 | ||||||||
\(149\) | 12.6757i | 1.03843i | 0.854643 | + | 0.519216i | \(0.173776\pi\) | ||||
−0.854643 | + | 0.519216i | \(0.826224\pi\) | |||||||
\(150\) | −11.0178 | − | 20.6178i | −0.899600 | − | 1.68344i | ||||
\(151\) | −3.97440 | − | 6.88386i | −0.323432 | − | 0.560200i | 0.657762 | − | 0.753226i | \(-0.271503\pi\) |
−0.981194 | + | 0.193026i | \(0.938170\pi\) | |||||||
\(152\) | 16.5192 | 1.33989 | ||||||||
\(153\) | 10.4814 | + | 0.689077i | 0.847374 | + | 0.0557085i | ||||
\(154\) | 28.9965 | − | 21.2698i | 2.33660 | − | 1.71397i | ||||
\(155\) | 1.38591i | 0.111319i | ||||||||
\(156\) | 32.2669 | − | 11.0391i | 2.58342 | − | 0.883832i | ||||
\(157\) | −4.27648 | + | 2.46902i | −0.341300 | + | 0.197050i | −0.660847 | − | 0.750521i | \(-0.729803\pi\) |
0.319547 | + | 0.947571i | \(0.396469\pi\) | |||||||
\(158\) | 8.90128i | 0.708148i | ||||||||
\(159\) | −7.72612 | − | 0.253694i | −0.612721 | − | 0.0201192i | ||||
\(160\) | 4.57508 | − | 2.64142i | 0.361692 | − | 0.208823i | ||||
\(161\) | −4.42711 | − | 6.03534i | −0.348905 | − | 0.475652i | ||||
\(162\) | 3.21840 | − | 24.3715i | 0.252862 | − | 1.91481i | ||||
\(163\) | −2.42355 | −0.189827 | −0.0949136 | − | 0.995486i | \(-0.530257\pi\) | ||||
−0.0949136 | + | 0.995486i | \(0.530257\pi\) | |||||||
\(164\) | 4.37074 | + | 7.57035i | 0.341298 | + | 0.591145i | ||||
\(165\) | −0.984835 | − | 1.84294i | −0.0766693 | − | 0.143472i | ||||
\(166\) | −27.0719 | + | 15.6300i | −2.10119 | + | 1.21312i | ||||
\(167\) | −0.976653 | + | 1.69161i | −0.0755757 | + | 0.130901i | −0.901336 | − | 0.433120i | \(-0.857413\pi\) |
0.825761 | + | 0.564020i | \(0.190746\pi\) | |||||||
\(168\) | 39.0609 | + | 18.7312i | 3.01361 | + | 1.44514i | ||||
\(169\) | 12.3307 | + | 4.11749i | 0.948516 | + | 0.316730i | ||||
\(170\) | 2.00802 | + | 1.15933i | 0.154008 | + | 0.0889165i | ||||
\(171\) | 4.70226 | − | 2.31774i | 0.359591 | − | 0.177242i | ||||
\(172\) | −12.7941 | −0.975541 | ||||||||
\(173\) | −21.7119 | −1.65072 | −0.825361 | − | 0.564605i | \(-0.809028\pi\) | ||||
−0.825361 | + | 0.564605i | \(0.809028\pi\) | |||||||
\(174\) | −3.90382 | − | 2.42809i | −0.295948 | − | 0.184073i | ||||
\(175\) | 10.5413 | − | 7.73240i | 0.796850 | − | 0.584515i | ||||
\(176\) | −64.2071 | + | 37.0700i | −4.83980 | + | 2.79426i | ||||
\(177\) | −4.14723 | + | 2.21621i | −0.311725 | + | 0.166581i | ||||
\(178\) | −23.0548 | − | 13.3107i | −1.72803 | − | 0.997677i | ||||
\(179\) | 0.0522382i | 0.00390447i | 0.999998 | + | 0.00195223i | \(0.000621416\pi\) | ||||
−0.999998 | + | 0.00195223i | \(0.999379\pi\) | |||||||
\(180\) | 2.20727 | − | 3.30200i | 0.164521 | − | 0.246117i | ||||
\(181\) | 26.7193i | 1.98603i | 0.117984 | + | 0.993016i | \(0.462357\pi\) | ||||
−0.117984 | + | 0.993016i | \(0.537643\pi\) | |||||||
\(182\) | 11.8409 | + | 23.2105i | 0.877710 | + | 1.72048i | ||||
\(183\) | 8.14591 | − | 13.0968i | 0.602163 | − | 0.968143i | ||||
\(184\) | 13.3717 | + | 23.1605i | 0.985778 | + | 1.70742i | ||||
\(185\) | 1.69462 | 0.124591 | ||||||||
\(186\) | 23.8527 | − | 12.7465i | 1.74896 | − | 0.934617i | ||||
\(187\) | −15.0889 | − | 8.71156i | −1.10341 | − | 0.637052i | ||||
\(188\) | −0.484938 | − | 0.839937i | −0.0353677 | − | 0.0612587i | ||||
\(189\) | 13.7469 | − | 0.148564i | 0.999942 | − | 0.0108065i | ||||
\(190\) | 1.15721 | 0.0839531 | ||||||||
\(191\) | − | 15.6304i | − | 1.13097i | −0.824758 | − | 0.565486i | \(-0.808688\pi\) | ||
0.824758 | − | 0.565486i | \(-0.191312\pi\) | |||||||
\(192\) | −43.7121 | − | 27.1879i | −3.15465 | − | 1.96212i | ||||
\(193\) | −2.59092 | −0.186498 | −0.0932492 | − | 0.995643i | \(-0.529725\pi\) | ||||
−0.0932492 | + | 0.995643i | \(0.529725\pi\) | |||||||
\(194\) | 7.00210 | − | 12.1280i | 0.502721 | − | 0.870739i | ||||
\(195\) | 1.43253 | − | 0.490093i | 0.102586 | − | 0.0350963i | ||||
\(196\) | −11.4805 | + | 36.4612i | −0.820035 | + | 2.60437i | ||||
\(197\) | −2.94058 | − | 1.69774i | −0.209507 | − | 0.120959i | 0.391575 | − | 0.920146i | \(-0.371930\pi\) |
−0.601082 | + | 0.799187i | \(0.705264\pi\) | |||||||
\(198\) | −22.6607 | + | 33.8996i | −1.61042 | + | 2.40914i | ||||
\(199\) | −18.0893 | − | 10.4438i | −1.28231 | − | 0.740345i | −0.305044 | − | 0.952338i | \(-0.598671\pi\) |
−0.977271 | + | 0.211994i | \(0.932004\pi\) | |||||||
\(200\) | −40.4522 | + | 23.3551i | −2.86040 | + | 1.65145i | ||||
\(201\) | 1.89162 | + | 1.17655i | 0.133425 | + | 0.0829871i | ||||
\(202\) | 36.9492 | − | 21.3326i | 2.59973 | − | 1.50096i | ||||
\(203\) | 1.03500 | − | 2.35346i | 0.0726424 | − | 0.165180i | ||||
\(204\) | 1.08685 | − | 33.0996i | 0.0760950 | − | 2.31744i | ||||
\(205\) | 0.194045 | + | 0.336095i | 0.0135527 | + | 0.0234739i | ||||
\(206\) | 10.8380 | 0.755116 | ||||||||
\(207\) | 7.05587 | + | 4.71661i | 0.490417 | + | 0.327827i | ||||
\(208\) | −19.0477 | − | 50.2295i | −1.32072 | − | 3.48279i | ||||
\(209\) | −8.69565 | −0.601491 | ||||||||
\(210\) | 2.73631 | + | 1.31217i | 0.188824 | + | 0.0905480i | ||||
\(211\) | 9.28611 | − | 16.0840i | 0.639282 | − | 1.10727i | −0.346308 | − | 0.938121i | \(-0.612565\pi\) |
0.985591 | − | 0.169149i | \(-0.0541018\pi\) | |||||||
\(212\) | 24.3722i | 1.67389i | ||||||||
\(213\) | −6.93493 | − | 0.227714i | −0.475174 | − | 0.0156027i | ||||
\(214\) | −17.5056 | + | 30.3205i | −1.19666 | + | 2.07267i | ||||
\(215\) | −0.568011 | −0.0387380 | ||||||||
\(216\) | −48.8821 | − | 4.82915i | −3.32601 | − | 0.328582i | ||||
\(217\) | 8.94560 | + | 12.1952i | 0.607267 | + | 0.827867i | ||||
\(218\) | 25.8671 | + | 14.9344i | 1.75194 | + | 1.01148i | ||||
\(219\) | 5.59501 | + | 0.183717i | 0.378075 | + | 0.0124144i | ||||
\(220\) | −5.70542 | + | 3.29403i | −0.384659 | + | 0.222083i | ||||
\(221\) | 7.98450 | − | 9.77859i | 0.537096 | − | 0.657779i | ||||
\(222\) | −15.5857 | − | 29.1658i | −1.04604 | − | 1.95748i | ||||
\(223\) | 2.36920 | + | 1.36786i | 0.158653 | + | 0.0915985i | 0.577225 | − | 0.816585i | \(-0.304136\pi\) |
−0.418571 | + | 0.908184i | \(0.637469\pi\) | |||||||
\(224\) | 23.2086 | − | 52.7735i | 1.55069 | − | 3.52608i | ||||
\(225\) | −8.23803 | + | 12.3238i | −0.549202 | + | 0.821586i | ||||
\(226\) | −12.9082 | + | 22.3576i | −0.858639 | + | 1.48721i | ||||
\(227\) | −11.0625 | + | 19.1608i | −0.734245 | + | 1.27175i | 0.220809 | + | 0.975317i | \(0.429130\pi\) |
−0.955054 | + | 0.296432i | \(0.904203\pi\) | |||||||
\(228\) | −7.79004 | − | 14.5776i | −0.515908 | − | 0.965426i | ||||
\(229\) | 16.2823 | + | 9.40060i | 1.07597 | + | 0.621209i | 0.929805 | − | 0.368052i | \(-0.119975\pi\) |
0.146160 | + | 0.989261i | \(0.453309\pi\) | |||||||
\(230\) | 0.936724 | + | 1.62245i | 0.0617658 | + | 0.106981i | ||||
\(231\) | −20.5615 | − | 9.86000i | −1.35285 | − | 0.648741i | ||||
\(232\) | −4.59302 | + | 7.95534i | −0.301546 | + | 0.522293i | ||||
\(233\) | 19.5867 | + | 11.3084i | 1.28317 | + | 0.740838i | 0.977427 | − | 0.211276i | \(-0.0677617\pi\) |
0.305743 | + | 0.952114i | \(0.401095\pi\) | |||||||
\(234\) | −21.6101 | − | 20.1475i | −1.41270 | − | 1.31709i | ||||
\(235\) | −0.0215294 | − | 0.0372901i | −0.00140443 | − | 0.00243254i | ||||
\(236\) | 7.41267 | + | 12.8391i | 0.482524 | + | 0.835756i | ||||
\(237\) | 4.97819 | − | 2.66027i | 0.323369 | − | 0.172803i | ||||
\(238\) | 25.1525 | − | 2.75963i | 1.63039 | − | 0.178880i | ||||
\(239\) | 27.8498i | 1.80145i | 0.434385 | + | 0.900727i | \(0.356966\pi\) | ||||
−0.434385 | + | 0.900727i | \(0.643034\pi\) | |||||||
\(240\) | −5.31269 | − | 3.30438i | −0.342933 | − | 0.213297i | ||||
\(241\) | 14.8569 | + | 8.57766i | 0.957019 | + | 0.552535i | 0.895254 | − | 0.445555i | \(-0.146994\pi\) |
0.0617650 | + | 0.998091i | \(0.480327\pi\) | |||||||
\(242\) | 32.5533 | − | 18.7947i | 2.09261 | − | 1.20817i | ||||
\(243\) | −14.5920 | + | 5.48380i | −0.936080 | + | 0.351786i | ||||
\(244\) | −42.1125 | − | 24.3137i | −2.69598 | − | 1.55652i | ||||
\(245\) | −0.509691 | + | 1.61874i | −0.0325630 | + | 0.103418i | ||||
\(246\) | 3.99980 | − | 6.43079i | 0.255018 | − | 0.410012i | ||||
\(247\) | 1.01090 | − | 6.21901i | 0.0643218 | − | 0.395706i | ||||
\(248\) | −27.0195 | − | 46.7991i | −1.71574 | − | 2.97174i | ||||
\(249\) | 16.8321 | + | 10.4692i | 1.06669 | + | 0.663459i | ||||
\(250\) | −5.70127 | + | 3.29163i | −0.360580 | + | 0.208181i | ||||
\(251\) | −1.46702 | − | 2.54096i | −0.0925977 | − | 0.160384i | 0.816006 | − | 0.578044i | \(-0.196184\pi\) |
−0.908603 | + | 0.417660i | \(0.862850\pi\) | |||||||
\(252\) | −1.89054 | − | 43.3029i | −0.119093 | − | 2.72783i | ||||
\(253\) | −7.03883 | − | 12.1916i | −0.442527 | − | 0.766480i | ||||
\(254\) | − | 51.0599i | − | 3.20378i | ||||||
\(255\) | 0.0482523 | − | 1.46950i | 0.00302167 | − | 0.0920236i | ||||
\(256\) | −21.6308 | + | 37.4656i | −1.35192 | + | 2.34160i | ||||
\(257\) | 10.7593 | + | 18.6356i | 0.671145 | + | 1.16246i | 0.977580 | + | 0.210566i | \(0.0675306\pi\) |
−0.306435 | + | 0.951892i | \(0.599136\pi\) | |||||||
\(258\) | 5.22409 | + | 9.77591i | 0.325237 | + | 0.608622i | ||||
\(259\) | 14.9117 | − | 10.9382i | 0.926568 | − | 0.679667i | ||||
\(260\) | −1.69257 | − | 4.46338i | −0.104969 | − | 0.276807i | ||||
\(261\) | −0.191242 | + | 2.90894i | −0.0118376 | + | 0.180059i | ||||
\(262\) | − | 14.5546i | − | 0.899188i | ||||||
\(263\) | − | 14.0559i | − | 0.866725i | −0.901220 | − | 0.433363i | \(-0.857327\pi\) | ||
0.901220 | − | 0.433363i | \(-0.142673\pi\) | |||||||
\(264\) | 69.1850 | + | 43.0315i | 4.25804 | + | 2.64841i | ||||
\(265\) | 1.08204i | 0.0664690i | ||||||||
\(266\) | 10.1828 | − | 7.46941i | 0.624348 | − | 0.457979i | ||||
\(267\) | −0.554001 | + | 16.8718i | −0.0339043 | + | 1.03254i | ||||
\(268\) | 3.51172 | − | 6.08247i | 0.214512 | − | 0.371546i | ||||
\(269\) | −8.01517 | + | 13.8827i | −0.488693 | + | 0.846442i | −0.999915 | − | 0.0130070i | \(-0.995860\pi\) |
0.511222 | + | 0.859449i | \(0.329193\pi\) | |||||||
\(270\) | −3.42432 | − | 0.338294i | −0.208397 | − | 0.0205879i | ||||
\(271\) | 4.34810 | − | 2.51037i | 0.264128 | − | 0.152494i | −0.362088 | − | 0.932144i | \(-0.617936\pi\) |
0.626216 | + | 0.779649i | \(0.284603\pi\) | |||||||
\(272\) | −52.1674 | −3.16311 | ||||||||
\(273\) | 9.44207 | − | 13.5590i | 0.571460 | − | 0.820630i | ||||
\(274\) | 13.5803 | 0.820417 | ||||||||
\(275\) | 21.2939 | − | 12.2940i | 1.28407 | − | 0.741358i | ||||
\(276\) | 14.1326 | − | 22.7220i | 0.850680 | − | 1.36770i | ||||
\(277\) | 5.69200 | − | 9.85883i | 0.341999 | − | 0.592359i | −0.642805 | − | 0.766030i | \(-0.722229\pi\) |
0.984804 | + | 0.173670i | \(0.0555628\pi\) | |||||||
\(278\) | 11.1087 | − | 19.2409i | 0.666257 | − | 1.15399i | ||||
\(279\) | −14.2574 | − | 9.53056i | −0.853567 | − | 0.570580i | ||||
\(280\) | 2.44102 | − | 5.55059i | 0.145879 | − | 0.331711i | ||||
\(281\) | − | 29.0630i | − | 1.73376i | −0.498521 | − | 0.866878i | \(-0.666123\pi\) | ||
0.498521 | − | 0.866878i | \(-0.333877\pi\) | |||||||
\(282\) | −0.443782 | + | 0.713502i | −0.0264268 | + | 0.0424884i | ||||
\(283\) | 22.7932i | 1.35491i | 0.735563 | + | 0.677456i | \(0.236918\pi\) | ||||
−0.735563 | + | 0.677456i | \(0.763082\pi\) | |||||||
\(284\) | 21.8764i | 1.29813i | ||||||||
\(285\) | −0.345849 | − | 0.647191i | −0.0204863 | − | 0.0383363i | ||||
\(286\) | 17.3765 | + | 45.8227i | 1.02750 | + | 2.70955i | ||||
\(287\) | 3.87686 | + | 1.70495i | 0.228844 | + | 0.100640i | ||||
\(288\) | −4.28837 | + | 65.2297i | −0.252695 | + | 3.84370i | ||||
\(289\) | 2.37026 | + | 4.10542i | 0.139427 | + | 0.241495i | ||||
\(290\) | −0.321752 | + | 0.557292i | −0.0188940 | + | 0.0327253i | ||||
\(291\) | −8.87546 | − | 0.291433i | −0.520288 | − | 0.0170841i | ||||
\(292\) | − | 17.6496i | − | 1.03286i | ||||||
\(293\) | 11.2367 | + | 19.4625i | 0.656453 | + | 1.13701i | 0.981527 | + | 0.191321i | \(0.0612772\pi\) |
−0.325075 | + | 0.945688i | \(0.605389\pi\) | |||||||
\(294\) | 32.5476 | − | 6.11567i | 1.89821 | − | 0.356673i | ||||
\(295\) | 0.329095 | + | 0.570009i | 0.0191606 | + | 0.0331872i | ||||
\(296\) | −57.2234 | + | 33.0380i | −3.32604 | + | 1.92029i | ||||
\(297\) | 25.7314 | + | 2.54204i | 1.49308 | + | 0.147504i | ||||
\(298\) | −17.3115 | − | 29.9844i | −1.00283 | − | 1.73695i | ||||
\(299\) | 9.53755 | − | 3.61676i | 0.551571 | − | 0.209163i | ||||
\(300\) | 39.6862 | + | 24.6839i | 2.29128 | + | 1.42513i | ||||
\(301\) | −4.99817 | + | 3.66631i | −0.288090 | + | 0.211323i | ||||
\(302\) | 18.8030 | + | 10.8559i | 1.08199 | + | 0.624686i | ||||
\(303\) | −22.9734 | − | 14.2889i | −1.31979 | − | 0.820877i | ||||
\(304\) | −22.5479 | + | 13.0180i | −1.29321 | + | 0.746635i | ||||
\(305\) | −1.86964 | − | 1.07944i | −0.107055 | − | 0.0618083i | ||||
\(306\) | −25.7350 | + | 12.6848i | −1.47117 | + | 0.725140i | ||||
\(307\) | 13.6897i | 0.781311i | 0.920537 | + | 0.390655i | \(0.127752\pi\) | ||||
−0.920537 | + | 0.390655i | \(0.872248\pi\) | |||||||
\(308\) | −28.9426 | + | 65.8121i | −1.64916 | + | 3.74999i | ||||
\(309\) | −3.23907 | − | 6.06131i | −0.184264 | − | 0.344816i | ||||
\(310\) | −1.89278 | − | 3.27839i | −0.107503 | − | 0.186200i | ||||
\(311\) | −7.08147 | − | 12.2655i | −0.401553 | − | 0.695511i | 0.592360 | − | 0.805673i | \(-0.298196\pi\) |
−0.993914 | + | 0.110162i | \(0.964863\pi\) | |||||||
\(312\) | −38.8185 | + | 44.4776i | −2.19766 | + | 2.51805i | ||||
\(313\) | −16.5156 | − | 9.53529i | −0.933518 | − | 0.538967i | −0.0455953 | − | 0.998960i | \(-0.514518\pi\) |
−0.887922 | + | 0.459993i | \(0.847852\pi\) | |||||||
\(314\) | 6.74403 | − | 11.6810i | 0.380588 | − | 0.659197i | ||||
\(315\) | −0.0839329 | − | 1.92249i | −0.00472908 | − | 0.108320i | ||||
\(316\) | −8.89793 | − | 15.4117i | −0.500548 | − | 0.866974i | ||||
\(317\) | 0.960262 | + | 0.554408i | 0.0539337 | + | 0.0311386i | 0.526724 | − | 0.850036i | \(-0.323420\pi\) |
−0.472791 | + | 0.881175i | \(0.656753\pi\) | |||||||
\(318\) | 18.6227 | − | 9.95166i | 1.04431 | − | 0.558062i | ||||
\(319\) | 2.41775 | − | 4.18766i | 0.135368 | − | 0.234464i | ||||
\(320\) | −3.60274 | + | 6.24013i | −0.201399 | + | 0.348834i | ||||
\(321\) | 22.1891 | + | 0.728597i | 1.23847 | + | 0.0406663i | ||||
\(322\) | 18.7150 | + | 8.23043i | 1.04295 | + | 0.458664i | ||||
\(323\) | −5.29882 | − | 3.05927i | −0.294834 | − | 0.170223i | ||||
\(324\) | 18.7900 | + | 45.4140i | 1.04389 | + | 2.52300i | ||||
\(325\) | 6.31704 | + | 16.6583i | 0.350406 | + | 0.924036i | ||||
\(326\) | 5.73294 | − | 3.30991i | 0.317518 | − | 0.183319i | ||||
\(327\) | 0.621581 | − | 18.9300i | 0.0343735 | − | 1.04683i | ||||
\(328\) | −13.1049 | − | 7.56610i | −0.723596 | − | 0.417768i | ||||
\(329\) | −0.430141 | − | 0.189166i | −0.0237145 | − | 0.0104291i | ||||
\(330\) | 4.84659 | + | 3.01447i | 0.266796 | + | 0.165941i | ||||
\(331\) | 15.1594 | 0.833236 | 0.416618 | − | 0.909082i | \(-0.363215\pi\) | ||||
0.416618 | + | 0.909082i | \(0.363215\pi\) | |||||||
\(332\) | 31.2482 | − | 54.1234i | 1.71497 | − | 2.97041i | ||||
\(333\) | −11.6535 | + | 17.4332i | −0.638606 | + | 0.955331i | ||||
\(334\) | − | 5.33537i | − | 0.291938i | ||||||
\(335\) | 0.155907 | − | 0.270039i | 0.00851812 | − | 0.0147538i | ||||
\(336\) | −68.0773 | + | 5.21500i | −3.71392 | + | 0.284502i | ||||
\(337\) | −5.88499 | −0.320576 | −0.160288 | − | 0.987070i | \(-0.551242\pi\) | ||||
−0.160288 | + | 0.987070i | \(0.551242\pi\) | |||||||
\(338\) | −34.7918 | + | 7.10042i | −1.89242 | + | 0.386212i | ||||
\(339\) | 16.3617 | + | 0.537249i | 0.888643 | + | 0.0291794i | ||||
\(340\) | −4.63557 | −0.251399 | ||||||||
\(341\) | 14.2229 | + | 24.6348i | 0.770215 | + | 1.33405i | ||||
\(342\) | −7.95785 | + | 11.9047i | −0.430311 | + | 0.643730i | ||||
\(343\) | 5.96344 | + | 17.5339i | 0.321996 | + | 0.946741i | ||||
\(344\) | 19.1804 | − | 11.0738i | 1.03414 | − | 0.597059i | ||||
\(345\) | 0.627433 | − | 1.00877i | 0.0337798 | − | 0.0543104i | ||||
\(346\) | 51.3596 | − | 29.6525i | 2.76111 | − | 1.59413i | ||||
\(347\) | 17.2777 | + | 9.97531i | 0.927518 | + | 0.535503i | 0.886026 | − | 0.463636i | \(-0.153456\pi\) |
0.0414920 | + | 0.999139i | \(0.486789\pi\) | |||||||
\(348\) | 9.18624 | + | 0.301638i | 0.492434 | + | 0.0161695i | ||||
\(349\) | −10.9042 | − | 6.29554i | −0.583688 | − | 0.336993i | 0.178909 | − | 0.983866i | \(-0.442743\pi\) |
−0.762598 | + | 0.646873i | \(0.776076\pi\) | |||||||
\(350\) | −14.3753 | + | 32.6877i | −0.768391 | + | 1.74723i | ||||
\(351\) | −4.80938 | + | 18.1072i | −0.256706 | + | 0.966490i | ||||
\(352\) | 54.2151 | − | 93.9034i | 2.88968 | − | 5.00507i | ||||
\(353\) | −21.6588 | −1.15278 | −0.576391 | − | 0.817174i | \(-0.695539\pi\) | ||||
−0.576391 | + | 0.817174i | \(0.695539\pi\) | |||||||
\(354\) | 6.78357 | − | 10.9065i | 0.360543 | − | 0.579671i | ||||
\(355\) | 0.971231i | 0.0515476i | ||||||||
\(356\) | 53.2226 | 2.82079 | ||||||||
\(357\) | −9.06052 | − | 13.2422i | −0.479534 | − | 0.700852i | ||||
\(358\) | −0.0713432 | − | 0.123570i | −0.00377060 | − | 0.00653088i | ||||
\(359\) | −27.7586 | − | 16.0264i | −1.46504 | − | 0.845843i | −0.465805 | − | 0.884888i | \(-0.654235\pi\) |
−0.999237 | + | 0.0390450i | \(0.987568\pi\) | |||||||
\(360\) | −0.451041 | + | 6.86071i | −0.0237719 | + | 0.361591i | ||||
\(361\) | 15.9463 | 0.839280 | ||||||||
\(362\) | −36.4913 | − | 63.2048i | −1.91794 | − | 3.32197i | ||||
\(363\) | −20.2402 | − | 12.5890i | −1.06234 | − | 0.660749i | ||||
\(364\) | −43.7032 | − | 28.3502i | −2.29067 | − | 1.48595i | ||||
\(365\) | − | 0.783575i | − | 0.0410142i | ||||||
\(366\) | −1.38258 | + | 42.1057i | −0.0722685 | + | 2.20090i | ||||
\(367\) | 19.1758i | 1.00097i | 0.865746 | + | 0.500484i | \(0.166844\pi\) | ||||
−0.865746 | + | 0.500484i | \(0.833156\pi\) | |||||||
\(368\) | −36.5035 | − | 21.0753i | −1.90288 | − | 1.09863i | ||||
\(369\) | −4.79192 | − | 0.315033i | −0.249458 | − | 0.0164000i | ||||
\(370\) | −4.00865 | + | 2.31439i | −0.208400 | + | 0.120320i | ||||
\(371\) | 6.98417 | + | 9.52130i | 0.362600 | + | 0.494321i | ||||
\(372\) | −28.5568 | + | 45.9129i | −1.48060 | + | 2.38047i | ||||
\(373\) | −28.7421 | −1.48821 | −0.744104 | − | 0.668063i | \(-0.767123\pi\) | ||||
−0.744104 | + | 0.668063i | \(0.767123\pi\) | |||||||
\(374\) | 47.5905 | 2.46084 | ||||||||
\(375\) | 3.54480 | + | 2.20479i | 0.183053 | + | 0.113855i | ||||
\(376\) | 1.45400 | + | 0.839466i | 0.0749842 | + | 0.0432921i | ||||
\(377\) | 2.71388 | + | 2.21596i | 0.139772 | + | 0.114128i | ||||
\(378\) | −32.3156 | + | 19.1260i | −1.66213 | + | 0.983735i | ||||
\(379\) | 12.6385 | − | 21.8905i | 0.649195 | − | 1.12444i | −0.334121 | − | 0.942530i | \(-0.608439\pi\) |
0.983316 | − | 0.181908i | \(-0.0582273\pi\) | |||||||
\(380\) | −2.00360 | + | 1.15678i | −0.102782 | + | 0.0593414i | ||||
\(381\) | −28.5561 | + | 15.2599i | −1.46297 | + | 0.781789i | ||||
\(382\) | 21.3468 | + | 36.9738i | 1.09220 | + | 1.89174i | ||||
\(383\) | −11.1010 | −0.567235 | −0.283618 | − | 0.958937i | \(-0.591535\pi\) | ||||
−0.283618 | + | 0.958937i | \(0.591535\pi\) | |||||||
\(384\) | 65.0899 | + | 2.13728i | 3.32161 | + | 0.109068i | ||||
\(385\) | −1.28494 | + | 2.92181i | −0.0654868 | + | 0.148909i | ||||
\(386\) | 6.12884 | − | 3.53849i | 0.311950 | − | 0.180104i | ||||
\(387\) | 3.90606 | − | 5.84332i | 0.198556 | − | 0.297033i | ||||
\(388\) | 27.9978i | 1.42137i | ||||||||
\(389\) | 6.68061 | − | 3.85705i | 0.338721 | − | 0.195560i | −0.320986 | − | 0.947084i | \(-0.604014\pi\) |
0.659706 | + | 0.751524i | \(0.270681\pi\) | |||||||
\(390\) | −2.71933 | + | 3.11577i | −0.137699 | + | 0.157773i | ||||
\(391\) | − | 9.90550i | − | 0.500943i | ||||||
\(392\) | −14.3476 | − | 64.5980i | −0.724662 | − | 3.26269i | ||||
\(393\) | −8.13992 | + | 4.34984i | −0.410605 | + | 0.219420i | ||||
\(394\) | 9.27462 | 0.467249 | ||||||||
\(395\) | −0.395035 | − | 0.684220i | −0.0198764 | − | 0.0344269i | ||||
\(396\) | 5.34788 | − | 81.3458i | 0.268741 | − | 4.08778i | ||||
\(397\) | 34.3242i | 1.72268i | 0.508028 | + | 0.861340i | \(0.330375\pi\) | ||||
−0.508028 | + | 0.861340i | \(0.669625\pi\) | |||||||
\(398\) | 57.0538 | 2.85985 | ||||||||
\(399\) | −7.22067 | − | 3.46258i | −0.361485 | − | 0.173346i | ||||
\(400\) | 36.8101 | − | 63.7570i | 1.84051 | − | 3.18785i | ||||
\(401\) | 6.55734 | − | 3.78588i | 0.327458 | − | 0.189058i | −0.327254 | − | 0.944936i | \(-0.606123\pi\) |
0.654712 | + | 0.755878i | \(0.272790\pi\) | |||||||
\(402\) | −6.08149 | − | 0.199691i | −0.303317 | − | 0.00995968i | ||||
\(403\) | −19.2719 | + | 7.30817i | −0.960004 | + | 0.364046i | ||||
\(404\) | −42.6491 | + | 73.8705i | −2.12187 | + | 3.67519i | ||||
\(405\) | 0.834205 | + | 2.01621i | 0.0414520 | + | 0.100186i | ||||
\(406\) | 0.765888 | + | 6.98065i | 0.0380104 | + | 0.346444i | ||||
\(407\) | 30.1222 | − | 17.3910i | 1.49310 | − | 0.862042i | ||||
\(408\) | 27.0197 | + | 50.5623i | 1.33767 | + | 2.50321i | ||||
\(409\) | −31.0099 | − | 17.9036i | −1.53334 | − | 0.885274i | −0.999205 | − | 0.0398745i | \(-0.987304\pi\) |
−0.534135 | − | 0.845399i | \(-0.679362\pi\) | |||||||
\(410\) | −0.918030 | − | 0.530025i | −0.0453383 | − | 0.0261761i | ||||
\(411\) | −4.05866 | − | 7.59503i | −0.200199 | − | 0.374635i | ||||
\(412\) | −18.7648 | + | 10.8339i | −0.924476 | + | 0.533746i | ||||
\(413\) | 6.57506 | + | 2.89156i | 0.323538 | + | 0.142284i | ||||
\(414\) | −23.1323 | − | 1.52078i | −1.13689 | − | 0.0747423i | ||||
\(415\) | 1.38730 | − | 2.40288i | 0.0681000 | − | 0.117953i | ||||
\(416\) | 60.8557 | + | 49.6905i | 2.98370 | + | 2.43627i | ||||
\(417\) | −14.0808 | − | 0.462355i | −0.689539 | − | 0.0226416i | ||||
\(418\) | 20.5697 | − | 11.8759i | 1.00609 | − | 0.580869i | ||||
\(419\) | 6.81971 | − | 11.8121i | 0.333165 | − | 0.577058i | −0.649966 | − | 0.759963i | \(-0.725217\pi\) |
0.983131 | + | 0.182905i | \(0.0585501\pi\) | |||||||
\(420\) | −6.04932 | + | 0.463403i | −0.295176 | + | 0.0226117i | ||||
\(421\) | −25.9264 | −1.26358 | −0.631789 | − | 0.775140i | \(-0.717679\pi\) | ||||
−0.631789 | + | 0.775140i | \(0.717679\pi\) | |||||||
\(422\) | 50.7292i | 2.46946i | ||||||||
\(423\) | 0.531668 | + | 0.0349532i | 0.0258506 | + | 0.00169948i | ||||
\(424\) | −21.0951 | − | 36.5378i | −1.02447 | − | 1.77443i | ||||
\(425\) | 17.3010 | 0.839220 | ||||||||
\(426\) | 16.7156 | − | 8.93257i | 0.809876 | − | 0.432784i | ||||
\(427\) | −23.4191 | + | 2.56945i | −1.13333 | + | 0.124345i | ||||
\(428\) | − | 69.9959i | − | 3.38338i | ||||||
\(429\) | 20.4339 | − | 23.4128i | 0.986558 | − | 1.13038i | ||||
\(430\) | 1.34363 | − | 0.775748i | 0.0647958 | − | 0.0374099i | ||||
\(431\) | 8.43762i | 0.406426i | 0.979135 | + | 0.203213i | \(0.0651384\pi\) | ||||
−0.979135 | + | 0.203213i | \(0.934862\pi\) | |||||||
\(432\) | 70.5272 | − | 31.9302i | 3.39324 | − | 1.53624i | ||||
\(433\) | 15.6475 | − | 9.03407i | 0.751970 | − | 0.434150i | −0.0744355 | − | 0.997226i | \(-0.523715\pi\) |
0.826405 | + | 0.563076i | \(0.190382\pi\) | |||||||
\(434\) | −37.8163 | − | 16.6307i | −1.81524 | − | 0.798301i | ||||
\(435\) | 0.407835 | + | 0.0133916i | 0.0195542 | + | 0.000642078i | ||||
\(436\) | −59.7150 | −2.85983 | ||||||||
\(437\) | −2.47186 | − | 4.28138i | −0.118245 | − | 0.204806i | ||||
\(438\) | −13.4860 | + | 7.20667i | −0.644384 | + | 0.344348i | ||||
\(439\) | 25.9812 | − | 15.0002i | 1.24001 | − | 0.715922i | 0.270916 | − | 0.962603i | \(-0.412673\pi\) |
0.969097 | + | 0.246681i | \(0.0793400\pi\) | |||||||
\(440\) | 5.70222 | − | 9.87653i | 0.271843 | − | 0.470845i | ||||
\(441\) | −13.1476 | − | 16.3750i | −0.626074 | − | 0.779763i | ||||
\(442\) | −5.53253 | + | 34.0360i | −0.263156 | + | 1.61893i | ||||
\(443\) | 6.37019 | + | 3.67783i | 0.302657 | + | 0.174739i | 0.643636 | − | 0.765332i | \(-0.277425\pi\) |
−0.340979 | + | 0.940071i | \(0.610758\pi\) | |||||||
\(444\) | 56.1399 | + | 34.9177i | 2.66428 | + | 1.65712i | ||||
\(445\) | 2.36289 | 0.112012 | ||||||||
\(446\) | −7.47249 | −0.353833 | ||||||||
\(447\) | −11.5955 | + | 18.6430i | −0.548450 | + | 0.881784i | ||||
\(448\) | 8.57585 | + | 78.1641i | 0.405171 | + | 3.69290i | ||||
\(449\) | −1.54734 | + | 0.893359i | −0.0730237 | + | 0.0421602i | −0.536067 | − | 0.844175i | \(-0.680091\pi\) |
0.463044 | + | 0.886336i | \(0.346757\pi\) | |||||||
\(450\) | 2.65620 | − | 40.4030i | 0.125214 | − | 1.90461i | ||||
\(451\) | 6.89835 | + | 3.98277i | 0.324831 | + | 0.187541i | ||||
\(452\) | − | 51.6132i | − | 2.42768i | ||||||
\(453\) | 0.451831 | − | 13.7603i | 0.0212289 | − | 0.646515i | ||||
\(454\) | − | 60.4335i | − | 2.83629i | ||||||
\(455\) | −1.94026 | − | 1.25864i | −0.0909607 | − | 0.0590061i | ||||
\(456\) | 24.2960 | + | 15.1116i | 1.13776 | + | 0.707663i | ||||
\(457\) | 2.09474 | + | 3.62819i | 0.0979877 | + | 0.169720i | 0.910852 | − | 0.412734i | \(-0.135426\pi\) |
−0.812864 | + | 0.582454i | \(0.802093\pi\) | |||||||
\(458\) | −51.3546 | −2.39964 | ||||||||
\(459\) | 14.7854 | + | 10.6017i | 0.690125 | + | 0.494847i | ||||
\(460\) | −3.24368 | − | 1.87274i | −0.151238 | − | 0.0873171i | ||||
\(461\) | −5.15059 | − | 8.92108i | −0.239887 | − | 0.415496i | 0.720795 | − | 0.693149i | \(-0.243777\pi\) |
−0.960682 | + | 0.277652i | \(0.910444\pi\) | |||||||
\(462\) | 62.1045 | − | 4.75746i | 2.88936 | − | 0.221337i | ||||
\(463\) | 16.7671 | 0.779234 | 0.389617 | − | 0.920977i | \(-0.372607\pi\) | ||||
0.389617 | + | 0.920977i | \(0.372607\pi\) | |||||||
\(464\) | − | 14.4782i | − | 0.672132i | ||||||
\(465\) | −1.26782 | + | 2.03836i | −0.0587935 | + | 0.0945268i | ||||
\(466\) | −61.7768 | −2.86176 | ||||||||
\(467\) | −6.07534 | + | 10.5228i | −0.281133 | + | 0.486937i | −0.971664 | − | 0.236366i | \(-0.924044\pi\) |
0.690531 | + | 0.723303i | \(0.257377\pi\) | |||||||
\(468\) | 57.5556 | + | 13.2814i | 2.66051 | + | 0.613934i | ||||
\(469\) | −0.371116 | − | 3.38252i | −0.0171365 | − | 0.156190i | ||||
\(470\) | 0.101856 | + | 0.0588067i | 0.00469828 | + | 0.00271255i | ||||
\(471\) | −8.54835 | − | 0.280692i | −0.393887 | − | 0.0129336i | ||||
\(472\) | −22.2255 | − | 12.8319i | −1.02301 | − | 0.590637i | ||||
\(473\) | −10.0965 | + | 5.82921i | −0.464237 | + | 0.268027i | ||||
\(474\) | −8.14277 | + | 13.0917i | −0.374010 | + | 0.601324i | ||||
\(475\) | 7.47786 | − | 4.31735i | 0.343108 | − | 0.198093i | ||||
\(476\) | −40.7904 | + | 29.9210i | −1.86962 | + | 1.37143i | ||||
\(477\) | −11.1313 | − | 7.44087i | −0.509666 | − | 0.340694i | ||||
\(478\) | −38.0353 | − | 65.8790i | −1.73969 | − | 3.01324i | ||||
\(479\) | −33.8822 | −1.54812 | −0.774059 | − | 0.633113i | \(-0.781777\pi\) | ||||
−0.774059 | + | 0.633113i | \(0.781777\pi\) | |||||||
\(480\) | 9.14522 | + | 0.300291i | 0.417420 | + | 0.0137064i | ||||
\(481\) | 8.93603 | + | 23.5647i | 0.407448 | + | 1.07446i | ||||
\(482\) | −46.8590 | −2.13437 | ||||||||
\(483\) | −0.990221 | − | 12.9265i | −0.0450566 | − | 0.588175i | ||||
\(484\) | −37.5752 | + | 65.0821i | −1.70796 | + | 2.95828i | ||||
\(485\) | 1.24300i | 0.0564417i | ||||||||
\(486\) | 27.0283 | − | 32.9008i | 1.22603 | − | 1.49241i | ||||
\(487\) | 11.3379 | − | 19.6379i | 0.513771 | − | 0.889877i | −0.486102 | − | 0.873902i | \(-0.661582\pi\) |
0.999872 | − | 0.0159746i | \(-0.00508510\pi\) | |||||||
\(488\) | 84.1778 | 3.81055 | ||||||||
\(489\) | −3.56449 | − | 2.21703i | −0.161192 | − | 0.100258i | ||||
\(490\) | −1.00508 | − | 4.52525i | −0.0454051 | − | 0.204430i | ||||
\(491\) | 14.8961 | + | 8.60025i | 0.672250 | + | 0.388124i | 0.796929 | − | 0.604073i | \(-0.206457\pi\) |
−0.124678 | + | 0.992197i | \(0.539790\pi\) | |||||||
\(492\) | −0.496890 | + | 15.1325i | −0.0224015 | + | 0.682228i | ||||
\(493\) | 2.94657 | − | 1.70120i | 0.132707 | − | 0.0766184i | ||||
\(494\) | 6.10219 | + | 16.0917i | 0.274550 | + | 0.724001i | ||||
\(495\) | 0.237426 | − | 3.61145i | 0.0106715 | − | 0.162323i | ||||
\(496\) | 73.7604 | + | 42.5856i | 3.31194 | + | 1.91215i | ||||
\(497\) | 6.26896 | + | 8.54627i | 0.281201 | + | 0.383353i | ||||
\(498\) | −54.1147 | − | 1.77690i | −2.42494 | − | 0.0796249i | ||||
\(499\) | 5.47911 | − | 9.49010i | 0.245279 | − | 0.424835i | −0.716931 | − | 0.697144i | \(-0.754454\pi\) |
0.962210 | + | 0.272309i | \(0.0877872\pi\) | |||||||
\(500\) | 6.58078 | − | 11.3982i | 0.294301 | − | 0.509745i | ||||
\(501\) | −2.98390 | + | 1.59455i | −0.133311 | + | 0.0712390i | ||||
\(502\) | 6.94052 | + | 4.00711i | 0.309770 | + | 0.178846i | ||||
\(503\) | −1.81288 | − | 3.14001i | −0.0808325 | − | 0.140006i | 0.822775 | − | 0.568367i | \(-0.192425\pi\) |
−0.903608 | + | 0.428361i | \(0.859091\pi\) | |||||||
\(504\) | 40.3146 | + | 63.2816i | 1.79575 | + | 2.81879i | ||||
\(505\) | −1.89346 | + | 3.27957i | −0.0842580 | + | 0.145939i | ||||
\(506\) | 33.3009 | + | 19.2263i | 1.48040 | + | 0.854711i | ||||
\(507\) | 14.3690 | + | 17.3358i | 0.638150 | + | 0.769912i | ||||
\(508\) | 51.0406 | + | 88.4050i | 2.26456 | + | 3.92234i | ||||
\(509\) | 8.38591 | + | 14.5248i | 0.371699 | + | 0.643802i | 0.989827 | − | 0.142276i | \(-0.0454420\pi\) |
−0.618128 | + | 0.786077i | \(0.712109\pi\) | |||||||
\(510\) | 1.89280 | + | 3.54202i | 0.0838144 | + | 0.156843i | ||||
\(511\) | −5.05771 | − | 6.89501i | −0.223740 | − | 0.305017i | ||||
\(512\) | − | 42.9671i | − | 1.89889i | ||||||
\(513\) | 9.03619 | + | 0.892701i | 0.398957 | + | 0.0394137i | ||||
\(514\) | −50.9024 | − | 29.3885i | −2.24521 | − | 1.29627i | ||||
\(515\) | −0.833087 | + | 0.480983i | −0.0367102 | + | 0.0211947i | ||||
\(516\) | −18.8172 | − | 11.7039i | −0.828381 | − | 0.515234i | ||||
\(517\) | −0.765378 | − | 0.441891i | −0.0336613 | − | 0.0194344i | ||||
\(518\) | −20.3352 | + | 46.2397i | −0.893476 | + | 2.03166i | ||||
\(519\) | −31.9332 | − | 19.8617i | −1.40171 | − | 0.871832i | ||||
\(520\) | 6.40066 | + | 5.22632i | 0.280687 | + | 0.229189i | ||||
\(521\) | 10.6368 | + | 18.4234i | 0.466006 | + | 0.807145i | 0.999246 | − | 0.0388183i | \(-0.0123593\pi\) |
−0.533241 | + | 0.845964i | \(0.679026\pi\) | |||||||
\(522\) | −3.52044 | − | 7.14232i | −0.154086 | − | 0.312611i | ||||
\(523\) | −1.68584 | + | 0.973320i | −0.0737166 | + | 0.0425603i | −0.536405 | − | 0.843961i | \(-0.680218\pi\) |
0.462689 | + | 0.886521i | \(0.346885\pi\) | |||||||
\(524\) | 14.5491 | + | 25.1998i | 0.635582 | + | 1.10086i | ||||
\(525\) | 22.5774 | − | 1.72952i | 0.985358 | − | 0.0754825i | ||||
\(526\) | 19.1966 | + | 33.2494i | 0.837010 | + | 1.44974i | ||||
\(527\) | 20.0154i | 0.871887i | ||||||||
\(528\) | −128.345 | − | 4.21432i | −5.58550 | − | 0.183405i | ||||
\(529\) | −7.49824 | + | 12.9873i | −0.326010 | + | 0.564666i | ||||
\(530\) | −1.47777 | − | 2.55957i | −0.0641901 | − | 0.111181i | ||||
\(531\) | −8.12698 | − | 0.534289i | −0.352681 | − | 0.0231862i | ||||
\(532\) | −10.1639 | + | 23.1115i | −0.440661 | + | 1.00201i | ||||
\(533\) | −3.65037 | + | 4.47060i | −0.158115 | + | 0.193643i | ||||
\(534\) | −21.7318 | − | 40.6671i | −0.940429 | − | 1.75984i | ||||
\(535\) | − | 3.10756i | − | 0.134351i | ||||||
\(536\) | 12.1581i | 0.525151i | ||||||||
\(537\) | −0.0477868 | + | 0.0768304i | −0.00206215 | + | 0.00331548i | ||||
\(538\) | − | 43.7861i | − | 1.88775i | ||||||
\(539\) | 7.55251 | + | 34.0041i | 0.325309 | + | 1.46466i | ||||
\(540\) | 6.26702 | − | 2.83730i | 0.269690 | − | 0.122098i | ||||
\(541\) | 17.4672 | − | 30.2541i | 0.750974 | − | 1.30073i | −0.196377 | − | 0.980529i | \(-0.562918\pi\) |
0.947351 | − | 0.320197i | \(-0.103749\pi\) | |||||||
\(542\) | −6.85698 | + | 11.8766i | −0.294532 | + | 0.510145i | ||||
\(543\) | −24.4425 | + | 39.2980i | −1.04893 | + | 1.68644i | ||||
\(544\) | 66.0735 | − | 38.1476i | 2.83288 | − | 1.63556i | ||||
\(545\) | −2.65112 | −0.113562 | ||||||||
\(546\) | −3.81737 | + | 44.9693i | −0.163368 | + | 1.92451i | ||||
\(547\) | 5.61294 | 0.239992 | 0.119996 | − | 0.992774i | \(-0.461712\pi\) | ||||
0.119996 | + | 0.992774i | \(0.461712\pi\) | |||||||
\(548\) | −23.5129 | + | 13.5752i | −1.00442 | + | 0.579904i | ||||
\(549\) | 23.9615 | − | 11.8106i | 1.02265 | − | 0.504065i | ||||
\(550\) | −33.5806 | + | 58.1633i | −1.43188 | + | 2.48009i | ||||
\(551\) | 0.849050 | − | 1.47060i | 0.0361707 | − | 0.0626495i | ||||
\(552\) | −1.52017 | + | 46.2961i | −0.0647029 | + | 1.97049i | ||||
\(553\) | −7.89249 | − | 3.47093i | −0.335623 | − | 0.147599i | ||||
\(554\) | 31.0949i | 1.32109i | ||||||||
\(555\) | 2.49240 | + | 1.55022i | 0.105796 | + | 0.0658030i | ||||
\(556\) | 44.4181i | 1.88375i | ||||||||
\(557\) | − | 12.9606i | − | 0.549159i | −0.961564 | − | 0.274580i | \(-0.911461\pi\) | ||
0.961564 | − | 0.274580i | \(-0.0885387\pi\) | |||||||
\(558\) | 46.7421 | + | 3.07295i | 1.97875 | + | 0.130088i | ||||
\(559\) | −2.99522 | − | 7.89852i | −0.126684 | − | 0.334072i | ||||
\(560\) | 1.04229 | + | 9.49993i | 0.0440450 | + | 0.401445i | ||||
\(561\) | −14.2230 | − | 26.6158i | −0.600497 | − | 1.12372i | ||||
\(562\) | 39.6922 | + | 68.7489i | 1.67431 | + | 2.90000i | ||||
\(563\) | 13.2107 | − | 22.8817i | 0.556766 | − | 0.964347i | −0.440998 | − | 0.897508i | \(-0.645375\pi\) |
0.997764 | − | 0.0668389i | \(-0.0212914\pi\) | |||||||
\(564\) | 0.0551304 | − | 1.67897i | 0.00232141 | − | 0.0706974i | ||||
\(565\) | − | 2.29144i | − | 0.0964014i | ||||||
\(566\) | −31.1293 | − | 53.9175i | −1.30846 | − | 2.26632i | ||||
\(567\) | 20.3545 | + | 12.3570i | 0.854808 | + | 0.518945i | ||||
\(568\) | −18.9349 | − | 32.7962i | −0.794490 | − | 1.37610i | ||||
\(569\) | −25.2641 | + | 14.5862i | −1.05913 | + | 0.611487i | −0.925190 | − | 0.379503i | \(-0.876095\pi\) |
−0.133936 | + | 0.990990i | \(0.542762\pi\) | |||||||
\(570\) | 1.70200 | + | 1.05860i | 0.0712888 | + | 0.0443400i | ||||
\(571\) | −5.59184 | − | 9.68535i | −0.234011 | − | 0.405319i | 0.724974 | − | 0.688777i | \(-0.241852\pi\) |
−0.958985 | + | 0.283457i | \(0.908519\pi\) | |||||||
\(572\) | −75.8910 | − | 61.9673i | −3.17316 | − | 2.59098i | ||||
\(573\) | 14.2984 | − | 22.9887i | 0.597326 | − | 0.960365i | ||||
\(574\) | −11.4993 | + | 1.26165i | −0.479970 | + | 0.0526604i | ||||
\(575\) | 12.1061 | + | 6.98948i | 0.504861 | + | 0.291482i | ||||
\(576\) | −39.4193 | − | 79.9744i | −1.64247 | − | 3.33227i | ||||
\(577\) | 31.6290 | − | 18.2610i | 1.31673 | − | 0.760217i | 0.333532 | − | 0.942739i | \(-0.391759\pi\) |
0.983202 | + | 0.182522i | \(0.0584261\pi\) | |||||||
\(578\) | −11.2138 | − | 6.47427i | −0.466431 | − | 0.269294i | ||||
\(579\) | −3.81065 | − | 2.37014i | −0.158365 | − | 0.0984995i | ||||
\(580\) | − | 1.28652i | − | 0.0534200i | ||||||
\(581\) | −3.30229 | − | 30.0985i | −0.137002 | − | 1.24870i | ||||
\(582\) | 21.3930 | − | 11.4321i | 0.886768 | − | 0.473875i | ||||
\(583\) | 11.1044 | + | 19.2334i | 0.459897 | + | 0.796565i | ||||
\(584\) | 15.2764 | + | 26.4595i | 0.632142 | + | 1.09490i | ||||
\(585\) | 2.55526 | + | 0.589645i | 0.105647 | + | 0.0243788i | ||||
\(586\) | −53.1609 | − | 30.6924i | −2.19606 | − | 1.26789i | ||||
\(587\) | −7.85945 | + | 13.6130i | −0.324394 | + | 0.561867i | −0.981390 | − | 0.192027i | \(-0.938494\pi\) |
0.656995 | + | 0.753895i | \(0.271827\pi\) | |||||||
\(588\) | −50.2394 | + | 43.1239i | −2.07184 | + | 1.77840i | ||||
\(589\) | 4.99473 | + | 8.65112i | 0.205804 | + | 0.356463i | ||||
\(590\) | −1.55696 | − | 0.898908i | −0.0640988 | − | 0.0370075i | ||||
\(591\) | −2.77184 | − | 5.18699i | −0.114018 | − | 0.213364i | ||||
\(592\) | 52.0714 | − | 90.1902i | 2.14012 | − | 3.70680i | ||||
\(593\) | 9.02479 | − | 15.6314i | 0.370604 | − | 0.641904i | −0.619055 | − | 0.785348i | \(-0.712484\pi\) |
0.989659 | + | 0.143443i | \(0.0458175\pi\) | |||||||
\(594\) | −64.3395 | + | 29.1288i | −2.63988 | + | 1.19517i | ||||
\(595\) | −1.81094 | + | 1.32838i | −0.0742413 | + | 0.0544583i | ||||
\(596\) | 59.9462 | + | 34.6100i | 2.45549 | + | 1.41768i | ||||
\(597\) | −17.0513 | − | 31.9083i | −0.697863 | − | 1.30592i | ||||
\(598\) | −17.6217 | + | 21.5812i | −0.720604 | + | 0.882520i | ||||
\(599\) | 29.2871 | − | 16.9089i | 1.19664 | − | 0.690880i | 0.236836 | − | 0.971550i | \(-0.423890\pi\) |
0.959805 | + | 0.280669i | \(0.0905564\pi\) | |||||||
\(600\) | −80.8608 | − | 2.65514i | −3.30113 | − | 0.108395i | ||||
\(601\) | −32.6930 | − | 18.8753i | −1.33358 | − | 0.769941i | −0.347731 | − | 0.937594i | \(-0.613048\pi\) |
−0.985846 | + | 0.167653i | \(0.946381\pi\) | |||||||
\(602\) | 6.81603 | − | 15.4988i | 0.277801 | − | 0.631685i | ||||
\(603\) | 1.70585 | + | 3.46086i | 0.0694677 | + | 0.140937i | ||||
\(604\) | −43.4072 | −1.76621 | ||||||||
\(605\) | −1.66820 | + | 2.88940i | −0.0678219 | + | 0.117471i | ||||
\(606\) | 73.8585 | + | 2.42521i | 3.00030 | + | 0.0985174i | ||||
\(607\) | − | 39.7628i | − | 1.61392i | −0.590603 | − | 0.806962i | \(-0.701110\pi\) | ||
0.590603 | − | 0.806962i | \(-0.298890\pi\) | |||||||
\(608\) | 19.0390 | − | 32.9764i | 0.772132 | − | 1.33737i | ||||
\(609\) | 3.67515 | − | 2.51459i | 0.148925 | − | 0.101897i | ||||
\(610\) | 5.89687 | 0.238757 | ||||||||
\(611\) | 0.405012 | − | 0.496016i | 0.0163850 | − | 0.0200667i | ||||
\(612\) | 31.8776 | − | 47.6877i | 1.28857 | − | 1.92766i | ||||
\(613\) | −2.58043 | −0.104223 | −0.0521114 | − | 0.998641i | \(-0.516595\pi\) | ||||
−0.0521114 | + | 0.998641i | \(0.516595\pi\) | |||||||
\(614\) | −18.6964 | − | 32.3831i | −0.754524 | − | 1.30687i | ||||
\(615\) | −0.0220601 | + | 0.671829i | −0.000889548 | + | 0.0270907i | ||||
\(616\) | −13.5734 | − | 123.714i | −0.546887 | − | 4.98457i | ||||
\(617\) | 15.8291 | − | 9.13893i | 0.637255 | − | 0.367919i | −0.146301 | − | 0.989240i | \(-0.546737\pi\) |
0.783556 | + | 0.621321i | \(0.213404\pi\) | |||||||
\(618\) | 15.9401 | + | 9.91441i | 0.641207 | + | 0.398816i | ||||
\(619\) | 11.0135 | − | 6.35866i | 0.442671 | − | 0.255576i | −0.262059 | − | 0.965052i | \(-0.584402\pi\) |
0.704730 | + | 0.709476i | \(0.251068\pi\) | |||||||
\(620\) | 6.55432 | + | 3.78414i | 0.263228 | + | 0.151975i | ||||
\(621\) | 6.06288 | + | 13.3917i | 0.243295 | + | 0.537389i | ||||
\(622\) | 33.5026 | + | 19.3427i | 1.34333 | + | 0.775573i | ||||
\(623\) | 20.7920 | − | 15.2516i | 0.833015 | − | 0.611043i | ||||
\(624\) | 17.9345 | − | 91.3007i | 0.717956 | − | 3.65495i | ||||
\(625\) | −12.0609 | + | 20.8901i | −0.482436 | + | 0.835603i | ||||
\(626\) | 52.0905 | 2.08195 | ||||||||
\(627\) | −12.7893 | − | 7.95466i | −0.510756 | − | 0.317679i | ||||
\(628\) | 26.9660i | 1.07606i | ||||||||
\(629\) | 24.4738 | 0.975835 | ||||||||
\(630\) | 2.82414 | + | 4.43304i | 0.112516 | + | 0.176616i | ||||
\(631\) | −7.52279 | − | 13.0299i | −0.299478 | − | 0.518710i | 0.676539 | − | 0.736407i | \(-0.263479\pi\) |
−0.976017 | + | 0.217696i | \(0.930146\pi\) | |||||||
\(632\) | 26.6788 | + | 15.4030i | 1.06123 | + | 0.612699i | ||||
\(633\) | 28.3712 | − | 15.1611i | 1.12765 | − | 0.602599i | ||||
\(634\) | −3.02868 | −0.120284 | ||||||||
\(635\) | 2.26601 | + | 3.92485i | 0.0899240 | + | 0.155753i | ||||
\(636\) | −22.2954 | + | 35.8460i | −0.884069 | + | 1.42138i | ||||
\(637\) | −25.1973 | + | 1.44836i | −0.998352 | + | 0.0573862i | ||||
\(638\) | 13.2079i | 0.522907i | ||||||||
\(639\) | −9.99138 | − | 6.67889i | −0.395253 | − | 0.264213i | ||||
\(640\) | − | 9.11578i | − | 0.360333i | ||||||
\(641\) | −27.4668 | − | 15.8579i | −1.08487 | − | 0.626351i | −0.152665 | − | 0.988278i | \(-0.548786\pi\) |
−0.932206 | + | 0.361927i | \(0.882119\pi\) | |||||||
\(642\) | −53.4835 | + | 28.5807i | −2.11083 | + | 1.12799i | ||||
\(643\) | 1.53491 | − | 0.886181i | 0.0605309 | − | 0.0349476i | −0.469429 | − | 0.882970i | \(-0.655540\pi\) |
0.529960 | + | 0.848023i | \(0.322207\pi\) | |||||||
\(644\) | −40.6305 | + | 4.45781i | −1.60106 | + | 0.175662i | ||||
\(645\) | −0.835413 | − | 0.519608i | −0.0328944 | − | 0.0204596i | ||||
\(646\) | 16.7125 | 0.657546 | ||||||||
\(647\) | −12.1507 | −0.477694 | −0.238847 | − | 0.971057i | \(-0.576769\pi\) | ||||
−0.238847 | + | 0.971057i | \(0.576769\pi\) | |||||||
\(648\) | −67.4768 | − | 51.8193i | −2.65074 | − | 2.03565i | ||||
\(649\) | 11.6994 | + | 6.75467i | 0.459243 | + | 0.265144i | ||||
\(650\) | −37.6937 | − | 30.7780i | −1.47847 | − | 1.20721i | ||||
\(651\) | 2.00088 | + | 26.1197i | 0.0784206 | + | 1.02371i | ||||
\(652\) | −6.61733 | + | 11.4616i | −0.259155 | + | 0.448869i | ||||
\(653\) | 33.2809 | − | 19.2147i | 1.30238 | − | 0.751931i | 0.321570 | − | 0.946886i | \(-0.395789\pi\) |
0.980812 | + | 0.194955i | \(0.0624561\pi\) | |||||||
\(654\) | 24.3828 | + | 45.6279i | 0.953443 | + | 1.78419i | ||||
\(655\) | 0.645927 | + | 1.11878i | 0.0252385 | + | 0.0437143i | ||||
\(656\) | 23.8500 | 0.931185 | ||||||||
\(657\) | 8.06091 | + | 5.38844i | 0.314486 | + | 0.210223i | ||||
\(658\) | 1.27585 | − | 0.139981i | 0.0497379 | − | 0.00545705i | ||||
\(659\) | −39.1455 | + | 22.6007i | −1.52489 | + | 0.880396i | −0.525327 | + | 0.850901i | \(0.676057\pi\) |
−0.999565 | + | 0.0294958i | \(0.990610\pi\) | |||||||
\(660\) | −11.4047 | − | 0.374483i | −0.443927 | − | 0.0145767i | ||||
\(661\) | − | 4.47815i | − | 0.174180i | −0.996200 | − | 0.0870898i | \(-0.972243\pi\) | ||
0.996200 | − | 0.0870898i | \(-0.0277567\pi\) | |||||||
\(662\) | −35.8597 | + | 20.7036i | −1.39373 | + | 0.804669i | ||||
\(663\) | 20.6887 | − | 7.07795i | 0.803482 | − | 0.274885i | ||||
\(664\) | 108.186i | 4.19843i | ||||||||
\(665\) | −0.451239 | + | 1.02606i | −0.0174983 | + | 0.0397891i | ||||
\(666\) | 3.75744 | − | 57.1538i | 0.145598 | − | 2.21466i | ||||
\(667\) | 2.74911 | 0.106446 | ||||||||
\(668\) | 5.33336 | + | 9.23765i | 0.206354 | + | 0.357415i | ||||
\(669\) | 2.23325 | + | 4.17912i | 0.0863425 | + | 0.161574i | ||||
\(670\) | 0.851707i | 0.0329043i | ||||||||
\(671\) | −44.3108 | −1.71060 | ||||||||
\(672\) | 82.4110 | − | 56.3869i | 3.17907 | − | 2.17517i | ||||
\(673\) | −10.5889 | + | 18.3406i | −0.408174 | + | 0.706977i | −0.994685 | − | 0.102963i | \(-0.967168\pi\) |
0.586512 | + | 0.809941i | \(0.300501\pi\) | |||||||
\(674\) | 13.9210 | − | 8.03730i | 0.536217 | − | 0.309585i | ||||
\(675\) | −23.3899 | + | 10.5894i | −0.900277 | + | 0.407588i | ||||
\(676\) | 53.1407 | − | 47.0723i | 2.04387 | − | 1.81047i | ||||
\(677\) | 12.6028 | − | 21.8286i | 0.484363 | − | 0.838941i | −0.515476 | − | 0.856904i | \(-0.672385\pi\) |
0.999839 | + | 0.0179629i | \(0.00571806\pi\) | |||||||
\(678\) | −39.4374 | + | 21.0747i | −1.51458 | + | 0.809369i | ||||
\(679\) | 8.02313 | + | 10.9377i | 0.307900 | + | 0.419750i | ||||
\(680\) | 6.94945 | − | 4.01227i | 0.266499 | − | 0.153863i | ||||
\(681\) | −33.7985 | + | 18.0614i | −1.29516 | + | 0.692113i | ||||
\(682\) | −67.2890 | − | 38.8493i | −2.57663 | − | 1.48762i | ||||
\(683\) | −31.0254 | − | 17.9125i | −1.18715 | − | 0.685404i | −0.229496 | − | 0.973310i | \(-0.573708\pi\) |
−0.957659 | + | 0.287906i | \(0.907041\pi\) | |||||||
\(684\) | 1.87804 | − | 28.5665i | 0.0718086 | − | 1.09227i | ||||
\(685\) | −1.04389 | + | 0.602688i | −0.0398849 | + | 0.0230275i | ||||
\(686\) | −38.0531 | − | 33.3322i | −1.45287 | − | 1.27263i | ||||
\(687\) | 15.3480 | + | 28.7210i | 0.585563 | + | 1.09577i | ||||
\(688\) | −17.4535 | + | 30.2303i | −0.665408 | + | 1.15252i | ||||
\(689\) | −15.0463 | + | 5.70576i | −0.573220 | + | 0.217372i | ||||
\(690\) | −0.106492 | + | 3.24316i | −0.00405408 | + | 0.123465i | ||||
\(691\) | 36.5012 | − | 21.0740i | 1.38857 | − | 0.801691i | 0.395416 | − | 0.918502i | \(-0.370601\pi\) |
0.993154 | + | 0.116811i | \(0.0372673\pi\) | |||||||
\(692\) | −59.2826 | + | 102.681i | −2.25359 | + | 3.90333i | ||||
\(693\) | −21.2214 | − | 33.3112i | −0.806136 | − | 1.26539i | ||||
\(694\) | −54.4942 | −2.06857 | ||||||||
\(695\) | 1.97200i | 0.0748022i | ||||||||
\(696\) | −14.0327 | + | 7.49885i | −0.531908 | + | 0.284243i | ||||
\(697\) | 2.80241 | + | 4.85391i | 0.106149 | + | 0.183855i | ||||
\(698\) | 34.3920 | 1.30176 | ||||||||
\(699\) | 18.4628 | + | 34.5498i | 0.698328 | + | 1.30679i | ||||
\(700\) | −7.78602 | − | 70.9652i | −0.294284 | − | 2.68223i | ||||
\(701\) | 15.2806i | 0.577141i | 0.957459 | + | 0.288571i | \(0.0931800\pi\) | ||||
−0.957459 | + | 0.288571i | \(0.906820\pi\) | |||||||
\(702\) | −13.3528 | − | 49.4010i | −0.503970 | − | 1.86452i | ||||
\(703\) | 10.5781 | − | 6.10729i | 0.398962 | − | 0.230341i | ||||
\(704\) | 147.893i | 5.57391i | ||||||||
\(705\) | 0.00244758 | − | 0.0745400i | 9.21814e−5 | − | 0.00280734i | ||||
\(706\) | 51.2341 | − | 29.5800i | 1.92822 | − | 1.11326i | ||||
\(707\) | 4.50713 | + | 41.0800i | 0.169508 | + | 1.54497i | ||||
\(708\) | −0.842713 | + | 25.6644i | −0.0316711 | + | 0.964528i | ||||
\(709\) | 27.6439 | 1.03819 | 0.519095 | − | 0.854717i | \(-0.326269\pi\) | ||||
0.519095 | + | 0.854717i | \(0.326269\pi\) | |||||||
\(710\) | −1.32644 | − | 2.29746i | −0.0497803 | − | 0.0862220i | ||||
\(711\) | 9.75536 | + | 0.641343i | 0.365854 | + | 0.0240522i | ||||
\(712\) | −79.7891 | + | 46.0663i | −2.99022 | + | 1.72641i | ||||
\(713\) | −8.08612 | + | 14.0056i | −0.302828 | + | 0.524513i | ||||
\(714\) | 39.5180 | + | 18.9504i | 1.47892 | + | 0.709199i | ||||
\(715\) | −3.36928 | − | 2.75112i | −0.126004 | − | 0.102886i | ||||
\(716\) | 0.247047 | + | 0.142633i | 0.00923257 | + | 0.00533043i | ||||
\(717\) | −25.4766 | + | 40.9607i | −0.951442 | + | 1.52970i | ||||
\(718\) | 87.5510 | 3.26737 | ||||||||
\(719\) | 39.0985 | 1.45813 | 0.729064 | − | 0.684445i | \(-0.239956\pi\) | ||||
0.729064 | + | 0.684445i | \(0.239956\pi\) | |||||||
\(720\) | −4.79096 | − | 9.71996i | −0.178548 | − | 0.362241i | ||||
\(721\) | −4.22611 | + | 9.60967i | −0.157389 | + | 0.357883i | ||||
\(722\) | −37.7212 | + | 21.7783i | −1.40384 | + | 0.810505i | ||||
\(723\) | 14.0044 | + | 26.2067i | 0.520830 | + | 0.974637i | ||||
\(724\) | 126.362 | + | 72.9551i | 4.69621 | + | 2.71136i | ||||
\(725\) | 4.80159i | 0.178327i | ||||||||
\(726\) | 65.0716 | + | 2.13668i | 2.41503 | + | 0.0792997i | ||||
\(727\) | 33.5977i | 1.24607i | 0.782194 | + | 0.623035i | \(0.214100\pi\) | ||||
−0.782194 | + | 0.623035i | \(0.785900\pi\) | |||||||
\(728\) | 90.0562 | + | 4.67461i | 3.33770 | + | 0.173253i | ||||
\(729\) | −26.4781 | − | 5.28319i | −0.980669 | − | 0.195674i | ||||
\(730\) | 1.07015 | + | 1.85356i | 0.0396081 | + | 0.0686032i | ||||
\(731\) | −8.20324 | −0.303408 | ||||||||
\(732\) | −39.6960 | − | 74.2838i | −1.46721 | − | 2.74561i | ||||
\(733\) | 28.1963 | + | 16.2791i | 1.04145 | + | 0.601284i | 0.920245 | − | 0.391343i | \(-0.127989\pi\) |
0.121209 | + | 0.992627i | \(0.461323\pi\) | |||||||
\(734\) | −26.1889 | − | 45.3605i | −0.966650 | − | 1.67429i | ||||
\(735\) | −2.23044 | + | 1.91454i | −0.0822711 | + | 0.0706189i | ||||
\(736\) | 61.6455 | 2.27228 | ||||||||
\(737\) | − | 6.39999i | − | 0.235747i | ||||||
\(738\) | 11.7656 | − | 5.79925i | 0.433097 | − | 0.213473i | ||||
\(739\) | 37.5255 | 1.38040 | 0.690199 | − | 0.723619i | \(-0.257523\pi\) | ||||
0.690199 | + | 0.723619i | \(0.257523\pi\) | |||||||
\(740\) | 4.62704 | − | 8.01427i | 0.170093 | − | 0.294610i | ||||
\(741\) | 7.17586 | − | 8.22198i | 0.263612 | − | 0.302042i | ||||
\(742\) | −29.5246 | − | 12.9842i | −1.08388 | − | 0.476667i | ||||
\(743\) | 14.1385 | + | 8.16284i | 0.518690 | + | 0.299466i | 0.736398 | − | 0.676548i | \(-0.236525\pi\) |
−0.217709 | + | 0.976014i | \(0.569858\pi\) | |||||||
\(744\) | 3.07172 | − | 93.5477i | 0.112615 | − | 3.42963i | ||||
\(745\) | 2.66139 | + | 1.53655i | 0.0975057 | + | 0.0562950i | ||||
\(746\) | 67.9897 | − | 39.2539i | 2.48928 | − | 1.43719i | ||||
\(747\) | 15.1791 | + | 30.7956i | 0.555375 | + | 1.12675i | ||||
\(748\) | −82.3980 | + | 47.5725i | −3.01277 | + | 1.73942i | ||||
\(749\) | −20.0582 | − | 27.3447i | −0.732911 | − | 0.999154i | ||||
\(750\) | −11.3964 | − | 0.374210i | −0.416138 | − | 0.0136642i | ||||
\(751\) | −3.78639 | − | 6.55821i | −0.138167 | − | 0.239313i | 0.788636 | − | 0.614861i | \(-0.210788\pi\) |
−0.926803 | + | 0.375548i | \(0.877454\pi\) | |||||||
\(752\) | −2.64618 | −0.0964961 | ||||||||
\(753\) | 0.166779 | − | 5.07918i | 0.00607777 | − | 0.185096i | ||||
\(754\) | −9.44612 | − | 1.53546i | −0.344007 | − | 0.0559182i | ||||
\(755\) | −1.92712 | −0.0701350 | ||||||||
\(756\) | 36.8324 | − | 65.4181i | 1.33958 | − | 2.37923i | ||||
\(757\) | −0.418890 | + | 0.725538i | −0.0152248 | + | 0.0263701i | −0.873537 | − | 0.486757i | \(-0.838180\pi\) |
0.858313 | + | 0.513127i | \(0.171513\pi\) | |||||||
\(758\) | 69.0429i | 2.50775i | ||||||||
\(759\) | 0.800213 | − | 24.3701i | 0.0290459 | − | 0.884578i | ||||
\(760\) | 2.00247 | − | 3.46838i | 0.0726373 | − | 0.125812i | ||||
\(761\) | 15.1563 | 0.549414 | 0.274707 | − | 0.961528i | \(-0.411419\pi\) | ||||
0.274707 | + | 0.961528i | \(0.411419\pi\) | |||||||
\(762\) | 46.7089 | − | 75.0974i | 1.69208 | − | 2.72049i | ||||
\(763\) | −23.3284 | + | 17.1121i | −0.844543 | + | 0.619499i | ||||
\(764\) | −73.9196 | − | 42.6775i | −2.67432 | − | 1.54402i | ||||
\(765\) | 1.41525 | − | 2.11716i | 0.0511683 | − | 0.0765459i | ||||
\(766\) | 26.2596 | − | 15.1610i | 0.948797 | − | 0.547788i | ||||
\(767\) | −6.19094 | + | 7.58202i | −0.223542 | + | 0.273771i | ||||
\(768\) | −66.0869 | + | 35.3157i | −2.38470 | + | 1.27435i | ||||
\(769\) | −31.6516 | − | 18.2740i | −1.14139 | − | 0.658979i | −0.194612 | − | 0.980880i | \(-0.562345\pi\) |
−0.946773 | + | 0.321901i | \(0.895678\pi\) | |||||||
\(770\) | −0.950849 | − | 8.66646i | −0.0342662 | − | 0.312317i | ||||
\(771\) | −1.22317 | + | 37.2511i | −0.0440515 | + | 1.34157i | ||||
\(772\) | −7.07431 | + | 12.2531i | −0.254610 | + | 0.440997i | ||||
\(773\) | 1.20440 | − | 2.08608i | 0.0433192 | − | 0.0750311i | −0.843553 | − | 0.537046i | \(-0.819540\pi\) |
0.886872 | + | 0.462015i | \(0.152873\pi\) | |||||||
\(774\) | −1.25943 | + | 19.1570i | −0.0452694 | + | 0.688586i | ||||
\(775\) | −24.4621 | − | 14.1232i | −0.878706 | − | 0.507321i | ||||
\(776\) | −24.2332 | − | 41.9732i | −0.869922 | − | 1.50675i | ||||
\(777\) | 31.9378 | − | 2.44657i | 1.14576 | − | 0.0877701i | ||||
\(778\) | −10.5354 | + | 18.2478i | −0.377711 | + | 0.654215i | ||||
\(779\) | 2.42252 | + | 1.39864i | 0.0867959 | + | 0.0501116i | ||||
\(780\) | 1.59366 | − | 8.11294i | 0.0570620 | − | 0.290490i | ||||
\(781\) | 9.96725 | + | 17.2638i | 0.356656 | + | 0.617747i | ||||
\(782\) | 13.5282 | + | 23.4316i | 0.483768 | + | 0.837911i | ||||
\(783\) | −2.94233 | + | 4.10345i | −0.105150 | + | 0.146645i | ||||
\(784\) | 70.4904 | + | 76.8663i | 2.51751 | + | 2.74523i | ||||
\(785\) | 1.19719i | 0.0427295i | ||||||||
\(786\) | 13.3144 | − | 21.4065i | 0.474908 | − | 0.763545i | ||||
\(787\) | 14.2629 | + | 8.23468i | 0.508417 | + | 0.293535i | 0.732183 | − | 0.681108i | \(-0.238502\pi\) |
−0.223766 | + | 0.974643i | \(0.571835\pi\) | |||||||
\(788\) | −16.0581 | + | 9.27112i | −0.572045 | + | 0.330270i | ||||
\(789\) | 12.8582 | − | 20.6730i | 0.457763 | − | 0.735979i | ||||
\(790\) | 1.86892 | + | 1.07902i | 0.0664931 | + | 0.0383898i | ||||
\(791\) | −14.7904 | − | 20.1633i | −0.525887 | − | 0.716925i | ||||
\(792\) | 62.3906 | + | 126.579i | 2.21695 | + | 4.49779i | ||||
\(793\) | 5.15127 | − | 31.6905i | 0.182927 | − | 1.12536i | ||||
\(794\) | −46.8775 | − | 81.1942i | −1.66362 | − | 2.88147i | ||||
\(795\) | −0.989832 | + | 1.59143i | −0.0351057 | + | 0.0564421i | ||||
\(796\) | −98.7829 | + | 57.0323i | −3.50127 | + | 2.02146i | ||||
\(797\) | −27.1791 | − | 47.0756i | −0.962734 | − | 1.66750i | −0.715583 | − | 0.698528i | \(-0.753839\pi\) |
−0.247152 | − | 0.968977i | \(-0.579495\pi\) | |||||||
\(798\) | 21.8095 | − | 1.67070i | 0.772048 | − | 0.0591421i | ||||
\(799\) | −0.310929 | − | 0.538545i | −0.0109999 | − | 0.0190524i | ||||
\(800\) | 107.670i | 3.80671i | ||||||||
\(801\) | −16.2489 | + | 24.3078i | −0.574128 | + | 0.858874i | ||||
\(802\) | −10.3410 | + | 17.9111i | −0.365152 | + | 0.632462i | ||||
\(803\) | −8.04144 | − | 13.9282i | −0.283776 | − | 0.491515i | ||||
\(804\) | 10.7291 | − | 5.73345i | 0.378386 | − | 0.202203i | ||||
\(805\) | −1.80384 | + | 0.197910i | −0.0635770 | + | 0.00697542i | ||||
\(806\) | 35.6070 | − | 43.6078i | 1.25420 | − | 1.53602i | ||||
\(807\) | −24.4881 | + | 13.0861i | −0.862024 | + | 0.460651i | ||||
\(808\) | − | 147.658i | − | 5.19459i | ||||||
\(809\) | − | 13.5423i | − | 0.476124i | −0.971250 | − | 0.238062i | \(-0.923488\pi\) | ||
0.971250 | − | 0.238062i | \(-0.0765121\pi\) | |||||||
\(810\) | −4.72692 | − | 3.63007i | −0.166087 | − | 0.127548i | ||||
\(811\) | 10.5987i | 0.372170i | 0.982534 | + | 0.186085i | \(0.0595800\pi\) | ||||
−0.982534 | + | 0.186085i | \(0.940420\pi\) | |||||||
\(812\) | −8.30407 | − | 11.3207i | −0.291416 | − | 0.397278i | ||||
\(813\) | 8.69151 | + | 0.285393i | 0.304824 | + | 0.0100092i | ||||
\(814\) | −47.5029 | + | 82.2774i | −1.66497 | + | 2.88382i | ||||
\(815\) | −0.293785 | + | 0.508850i | −0.0102908 | + | 0.0178242i | ||||
\(816\) | −76.7262 | − | 47.7220i | −2.68596 | − | 1.67060i | ||||
\(817\) | −3.54562 | + | 2.04707i | −0.124046 | + | 0.0716178i | ||||
\(818\) | 97.8056 | 3.41969 | ||||||||
\(819\) | 26.2907 | − | 11.3047i | 0.918673 | − | 0.395020i | ||||
\(820\) | 2.11930 | 0.0740091 | ||||||||
\(821\) | 30.6116 | − | 17.6736i | 1.06835 | − | 0.616813i | 0.140620 | − | 0.990064i | \(-0.455090\pi\) |
0.927730 | + | 0.373251i | \(0.121757\pi\) | |||||||
\(822\) | 19.9735 | + | 12.4231i | 0.696657 | + | 0.433305i | ||||
\(823\) | −12.3884 | + | 21.4574i | −0.431833 | + | 0.747957i | −0.997031 | − | 0.0769980i | \(-0.975467\pi\) |
0.565198 | + | 0.824955i | \(0.308800\pi\) | |||||||
\(824\) | 18.7543 | − | 32.4834i | 0.653336 | − | 1.13161i | ||||
\(825\) | 42.5648 | + | 1.39765i | 1.48192 | + | 0.0486600i | ||||
\(826\) | −19.5025 | + | 2.13973i | −0.678577 | + | 0.0744508i | ||||
\(827\) | 37.6839i | 1.31040i | 0.755457 | + | 0.655199i | \(0.227415\pi\) | ||||
−0.755457 | + | 0.655199i | \(0.772585\pi\) | |||||||
\(828\) | 41.5715 | − | 20.4905i | 1.44471 | − | 0.712096i | ||||
\(829\) | 9.02187i | 0.313342i | 0.987651 | + | 0.156671i | \(0.0500763\pi\) | ||||
−0.987651 | + | 0.156671i | \(0.949924\pi\) | |||||||
\(830\) | 7.57871i | 0.263061i | ||||||||
\(831\) | 17.3903 | − | 9.29311i | 0.603264 | − | 0.322374i | ||||
\(832\) | −105.771 | − | 17.1929i | −3.66694 | − | 0.596058i | ||||
\(833\) | −7.36099 | + | 23.3780i | −0.255043 | + | 0.809999i | ||||
\(834\) | 33.9397 | − | 18.1368i | 1.17523 | − | 0.628026i | ||||
\(835\) | 0.236781 | + | 0.410117i | 0.00819415 | + | 0.0141927i | ||||
\(836\) | −23.7428 | + | 41.1238i | −0.821163 | + | 1.42230i | ||||
\(837\) | −12.2509 | − | 27.0597i | −0.423453 | − | 0.935321i | ||||
\(838\) | 37.2555i | 1.28697i | ||||||||
\(839\) | −5.88728 | − | 10.1971i | −0.203252 | − | 0.352042i | 0.746323 | − | 0.665584i | \(-0.231818\pi\) |
−0.949574 | + | 0.313542i | \(0.898484\pi\) | |||||||
\(840\) | 8.66779 | − | 5.93064i | 0.299067 | − | 0.204626i | ||||
\(841\) | −14.0279 | − | 24.2970i | −0.483719 | − | 0.837826i | ||||
\(842\) | 61.3293 | − | 35.4085i | 2.11355 | − | 1.22026i | ||||
\(843\) | 26.5865 | − | 42.7451i | 0.915686 | − | 1.47222i | ||||
\(844\) | −50.7101 | − | 87.8324i | −1.74551 | − | 3.02332i | ||||
\(845\) | 2.35925 | − | 2.08984i | 0.0811606 | − | 0.0718925i | ||||
\(846\) | −1.30540 | + | 0.643432i | −0.0448807 | + | 0.0221216i | ||||
\(847\) | 3.97092 | + | 36.1927i | 0.136442 | + | 1.24360i | ||||
\(848\) | 57.5875 | + | 33.2482i | 1.97756 | + | 1.14175i | ||||
\(849\) | −20.8509 | + | 33.5235i | −0.715600 | + | 1.15052i | ||||
\(850\) | −40.9256 | + | 23.6284i | −1.40374 | + | 0.810448i | ||||
\(851\) | 17.1253 | + | 9.88728i | 0.587046 | + | 0.338931i | ||||
\(852\) | −20.0122 | + | 32.1752i | −0.685608 | + | 1.10230i | ||||
\(853\) | 6.51109i | 0.222936i | 0.993768 | + | 0.111468i | \(0.0355552\pi\) | ||||
−0.993768 | + | 0.111468i | \(0.964445\pi\) | |||||||
\(854\) | 51.8890 | − | 38.0622i | 1.77561 | − | 1.30246i | ||||
\(855\) | 0.0833779 | − | 1.26825i | 0.00285146 | − | 0.0433731i | ||||
\(856\) | 60.5842 | + | 104.935i | 2.07073 | + | 3.58660i | ||||
\(857\) | 13.8831 | + | 24.0463i | 0.474238 | + | 0.821405i | 0.999565 | − | 0.0294956i | \(-0.00939012\pi\) |
−0.525326 | + | 0.850901i | \(0.676057\pi\) | |||||||
\(858\) | −16.3610 | + | 83.2904i | −0.558557 | + | 2.84349i | ||||
\(859\) | −8.81710 | − | 5.09056i | −0.300836 | − | 0.173688i | 0.341983 | − | 0.939706i | \(-0.388902\pi\) |
−0.642818 | + | 0.766019i | \(0.722235\pi\) | |||||||
\(860\) | −1.55091 | + | 2.68626i | −0.0528856 | + | 0.0916006i | ||||
\(861\) | 4.14231 | + | 6.05410i | 0.141169 | + | 0.206323i | ||||
\(862\) | −11.5235 | − | 19.9593i | −0.392492 | − | 0.679816i | ||||
\(863\) | −34.6961 | − | 20.0318i | −1.18107 | − | 0.681891i | −0.224808 | − | 0.974403i | \(-0.572175\pi\) |
−0.956262 | + | 0.292512i | \(0.905509\pi\) | |||||||
\(864\) | −65.9785 | + | 92.0150i | −2.24463 | + | 3.13041i | ||||
\(865\) | −2.63193 | + | 4.55863i | −0.0894882 | + | 0.154998i | ||||
\(866\) | −24.6762 | + | 42.7404i | −0.838531 | + | 1.45238i | ||||
\(867\) | −0.269465 | + | 8.20641i | −0.00915150 | + | 0.278704i | ||||
\(868\) | 82.0995 | − | 9.00763i | 2.78664 | − | 0.305739i | ||||
\(869\) | −14.0436 | − | 8.10808i | −0.476397 | − | 0.275048i | ||||
\(870\) | −0.983027 | + | 0.525313i | −0.0333277 | + | 0.0178098i | ||||
\(871\) | 4.57718 | + | 0.744018i | 0.155092 | + | 0.0252101i | ||||
\(872\) | 89.5222 | − | 51.6857i | 3.03160 | − | 1.75030i | ||||
\(873\) | −12.7872 | − | 8.54778i | −0.432780 | − | 0.289298i | ||||
\(874\) | 11.6944 | + | 6.75176i | 0.395569 | + | 0.228382i | ||||
\(875\) | −0.695452 | − | 6.33866i | −0.0235106 | − | 0.214286i | ||||
\(876\) | 16.1456 | − | 25.9585i | 0.545509 | − | 0.877056i | ||||
\(877\) | 37.7277 | 1.27397 | 0.636987 | − | 0.770875i | \(-0.280180\pi\) | ||||
0.636987 | + | 0.770875i | \(0.280180\pi\) | |||||||
\(878\) | −40.9725 | + | 70.9664i | −1.38275 | + | 2.39500i | ||||
\(879\) | −1.27745 | + | 38.9040i | −0.0430872 | + | 1.31220i | ||||
\(880\) | 17.9746i | 0.605924i | ||||||||
\(881\) | 22.9073 | − | 39.6766i | 0.771766 | − | 1.33674i | −0.164828 | − | 0.986322i | \(-0.552707\pi\) |
0.936594 | − | 0.350416i | \(-0.113960\pi\) | |||||||
\(882\) | 53.4645 | + | 20.7793i | 1.80024 | + | 0.699676i | ||||
\(883\) | 12.8954 | 0.433965 | 0.216982 | − | 0.976176i | \(-0.430379\pi\) | ||||
0.216982 | + | 0.976176i | \(0.430379\pi\) | |||||||
\(884\) | −24.4442 | − | 64.4603i | −0.822146 | − | 2.16804i | ||||
\(885\) | −0.0374133 | + | 1.13940i | −0.00125764 | + | 0.0383007i | ||||
\(886\) | −20.0917 | −0.674993 | ||||||||
\(887\) | −18.0694 | − | 31.2971i | −0.606712 | − | 1.05086i | −0.991778 | − | 0.127967i | \(-0.959155\pi\) |
0.385067 | − | 0.922889i | \(-0.374178\pi\) | |||||||
\(888\) | −114.385 | − | 3.75594i | −3.83852 | − | 0.126041i | ||||
\(889\) | 45.2732 | + | 19.9101i | 1.51841 | + | 0.667763i | ||||
\(890\) | −5.58943 | + | 3.22706i | −0.187358 | + | 0.108171i | ||||
\(891\) | 35.5195 | + | 27.2775i | 1.18995 | + | 0.913829i | ||||
\(892\) | 12.9378 | − | 7.46967i | 0.433191 | − | 0.250103i | ||||
\(893\) | −0.268781 | − | 0.155181i | −0.00899442 | − | 0.00519293i | ||||
\(894\) | 1.96807 | − | 59.9365i | 0.0658220 | − | 2.00458i | ||||
\(895\) | 0.0109680 | + | 0.00633235i | 0.000366618 | + | 0.000211667i | ||||
\(896\) | −58.8392 | − | 80.2136i | −1.96568 | − | 2.67975i | ||||
\(897\) | 17.3361 | + | 3.40540i | 0.578836 | + | 0.113703i | ||||
\(898\) | 2.44017 | − | 4.22650i | 0.0814296 | − | 0.141040i | ||||
\(899\) | −5.55495 | −0.185268 | ||||||||
\(900\) | 35.7888 | + | 72.6088i | 1.19296 | + | 2.42029i | ||||
\(901\) | 15.6268i | 0.520605i | ||||||||
\(902\) | −21.7575 | −0.724446 | ||||||||
\(903\) | −10.7050 | + | 0.820051i | −0.356242 | + | 0.0272896i | ||||
\(904\) | 44.6733 | + | 77.3764i | 1.48581 | + | 2.57350i | ||||
\(905\) | 5.61000 | + | 3.23893i | 0.186483 | + | 0.107666i | ||||
\(906\) | 17.7240 | + | 33.1672i | 0.588841 | + | 1.10191i | ||||
\(907\) | 5.36256 | 0.178061 | 0.0890304 | − | 0.996029i | \(-0.471623\pi\) | ||||
0.0890304 | + | 0.996029i | \(0.471623\pi\) | |||||||
\(908\) | 60.4108 | + | 104.634i | 2.00480 | + | 3.47242i | ||||
\(909\) | −20.7173 | − | 42.0315i | −0.687148 | − | 1.39410i | ||||
\(910\) | 6.30867 | + | 0.327468i | 0.209130 | + | 0.0108555i | ||||
\(911\) | 7.78695i | 0.257993i | 0.991645 | + | 0.128997i | \(0.0411756\pi\) | ||||
−0.991645 | + | 0.128997i | \(0.958824\pi\) | |||||||
\(912\) | −45.0715 | − | 1.47996i | −1.49247 | − | 0.0490064i | ||||
\(913\) | − | 56.9487i | − | 1.88473i | ||||||
\(914\) | −9.91024 | − | 5.72168i | −0.327802 | − | 0.189256i | ||||
\(915\) | −1.76236 | − | 3.29792i | −0.0582617 | − | 0.109026i | ||||
\(916\) | 88.9153 | − | 51.3353i | 2.93784 | − | 1.69616i | ||||
\(917\) | 12.9051 | + | 5.67537i | 0.426165 | + | 0.187417i | ||||
\(918\) | −49.4542 | − | 4.88566i | −1.63223 | − | 0.161251i | ||||
\(919\) | 30.8448 | 1.01748 | 0.508738 | − | 0.860921i | \(-0.330112\pi\) | ||||
0.508738 | + | 0.860921i | \(0.330112\pi\) | |||||||
\(920\) | 6.48373 | 0.213762 | ||||||||
\(921\) | −12.5231 | + | 20.1344i | −0.412651 | + | 0.663450i | ||||
\(922\) | 24.3675 | + | 14.0686i | 0.802502 | + | 0.463325i | ||||
\(923\) | −13.5055 | + | 5.12147i | −0.444540 | + | 0.168575i | ||||
\(924\) | −102.772 | + | 70.3181i | −3.38095 | + | 2.31330i | ||||
\(925\) | −17.2691 | + | 29.9110i | −0.567805 | + | 0.983468i | ||||
\(926\) | −39.6628 | + | 22.8993i | −1.30340 | + | 0.752518i | ||||
\(927\) | 0.780881 | − | 11.8778i | 0.0256475 | − | 0.390120i | ||||
\(928\) | 10.5872 | + | 18.3376i | 0.347542 | + | 0.601961i | ||||
\(929\) | −55.2566 | −1.81291 | −0.906455 | − | 0.422303i | \(-0.861222\pi\) | ||||
−0.906455 | + | 0.422303i | \(0.861222\pi\) | |||||||
\(930\) | 0.215182 | − | 6.55326i | 0.00705609 | − | 0.214890i | ||||
\(931\) | 2.65224 | + | 11.9414i | 0.0869238 | + | 0.391363i | ||||
\(932\) | 106.960 | − | 61.7535i | 3.50360 | − | 2.02280i | ||||
\(933\) | 0.805060 | − | 24.5177i | 0.0263565 | − | 0.802674i | ||||
\(934\) | − | 33.1890i | − | 1.08598i | ||||||
\(935\) | −3.65816 | + | 2.11204i | −0.119635 | + | 0.0690712i | ||||
\(936\) | −97.7806 | + | 29.9057i | −3.19606 | + | 0.977499i | ||||
\(937\) | − | 47.9496i | − | 1.56645i | −0.621741 | − | 0.783223i | \(-0.713574\pi\) | ||
0.621741 | − | 0.783223i | \(-0.286426\pi\) | |||||||
\(938\) | 5.49748 | + | 7.49453i | 0.179499 | + | 0.244705i | ||||
\(939\) | −15.5679 | − | 29.1325i | −0.508040 | − | 0.950703i | ||||
\(940\) | −0.235138 | −0.00766936 | ||||||||
\(941\) | −6.00405 | − | 10.3993i | −0.195727 | − | 0.339008i | 0.751412 | − | 0.659833i | \(-0.229373\pi\) |
−0.947138 | + | 0.320825i | \(0.896040\pi\) | |||||||
\(942\) | 20.6045 | − | 11.0107i | 0.671332 | − | 0.358749i | ||||
\(943\) | 4.52862i | 0.147472i | ||||||||
\(944\) | 40.4490 | 1.31650 | ||||||||
\(945\) | 1.63522 | − | 2.90432i | 0.0531937 | − | 0.0944775i | ||||
\(946\) | 15.9222 | − | 27.5781i | 0.517676 | − | 0.896641i | ||||
\(947\) | 4.75283 | − | 2.74405i | 0.154446 | − | 0.0891695i | −0.420785 | − | 0.907160i | \(-0.638245\pi\) |
0.575231 | + | 0.817991i | \(0.304912\pi\) | |||||||
\(948\) | 1.01157 | − | 30.8067i | 0.0328541 | − | 1.00056i | ||||
\(949\) | 10.8961 | − | 4.13193i | 0.353702 | − | 0.134128i | ||||
\(950\) | −11.7926 | + | 20.4254i | −0.382604 | + | 0.662689i | ||||
\(951\) | 0.905161 | + | 1.69384i | 0.0293519 | + | 0.0549266i | ||||
\(952\) | 35.2534 | − | 80.1620i | 1.14257 | − | 2.59806i | ||||
\(953\) | 18.2471 | − | 10.5350i | 0.591082 | − | 0.341261i | −0.174443 | − | 0.984667i | \(-0.555813\pi\) |
0.765525 | + | 0.643406i | \(0.222479\pi\) | |||||||
\(954\) | 36.4934 | + | 2.39917i | 1.18152 | + | 0.0776760i | ||||
\(955\) | −3.28176 | − | 1.89472i | −0.106195 | − | 0.0613118i | ||||
\(956\) | 131.708 | + | 76.0419i | 4.25975 | + | 2.45937i | ||||
\(957\) | 7.38676 | − | 3.94736i | 0.238780 | − | 0.127600i | ||||
\(958\) | 80.1488 | − | 46.2739i | 2.58949 | − | 1.49504i | ||||
\(959\) | −5.29546 | + | 12.0412i | −0.170999 | + | 0.388832i | ||||
\(960\) | −11.0072 | + | 5.88207i | −0.355256 | + | 0.189843i | ||||
\(961\) | 0.839128 | − | 1.45341i | 0.0270687 | − | 0.0468843i | ||||
\(962\) | −53.3213 | − | 43.5384i | −1.71915 | − | 1.40373i | ||||
\(963\) | 31.9685 | + | 21.3698i | 1.03017 | + | 0.688633i | ||||
\(964\) | 81.1315 | − | 46.8413i | 2.61307 | − | 1.50866i | ||||
\(965\) | −0.314073 | + | 0.543990i | −0.0101104 | + | 0.0175117i | ||||
\(966\) | 19.9964 | + | 29.2253i | 0.643374 | + | 0.940309i | ||||
\(967\) | −50.7556 | −1.63219 | −0.816094 | − | 0.577919i | \(-0.803865\pi\) | ||||
−0.816094 | + | 0.577919i | \(0.803865\pi\) | |||||||
\(968\) | − | 130.091i | − | 4.18129i | ||||||
\(969\) | −4.99476 | − | 9.34677i | −0.160455 | − | 0.300262i | ||||
\(970\) | −1.69760 | − | 2.94033i | −0.0545066 | − | 0.0944082i | ||||
\(971\) | −27.1011 | −0.869717 | −0.434858 | − | 0.900499i | \(-0.643202\pi\) | ||||
−0.434858 | + | 0.900499i | \(0.643202\pi\) | |||||||
\(972\) | −13.9083 | + | 83.9824i | −0.446109 | + | 2.69374i | ||||
\(973\) | 12.7286 | + | 17.3525i | 0.408060 | + | 0.556295i | ||||
\(974\) | 61.9381i | 1.98463i | ||||||||
\(975\) | −5.94787 | + | 30.2793i | −0.190484 | + | 0.969713i | ||||
\(976\) | −114.898 | + | 66.3366i | −3.67781 | + | 2.12338i | ||||
\(977\) | − | 47.7563i | − | 1.52786i | −0.645299 | − | 0.763930i | \(-0.723267\pi\) | ||
0.645299 | − | 0.763930i | \(-0.276733\pi\) | |||||||
\(978\) | 11.4597 | + | 0.376289i | 0.366441 | + | 0.0120324i | ||||
\(979\) | 42.0007 | − | 24.2491i | 1.34235 | − | 0.775004i | ||||
\(980\) | 6.26375 | + | 6.83031i | 0.200088 | + | 0.218186i | ||||
\(981\) | 18.2311 | − | 27.2730i | 0.582073 | − | 0.870760i | ||||
\(982\) | −46.9824 | −1.49927 | ||||||||
\(983\) | −10.2197 | − | 17.7011i | −0.325959 | − | 0.564577i | 0.655747 | − | 0.754981i | \(-0.272354\pi\) |
−0.981706 | + | 0.190403i | \(0.939020\pi\) | |||||||
\(984\) | −12.3529 | − | 23.1162i | −0.393796 | − | 0.736916i | ||||
\(985\) | −0.712918 | + | 0.411603i | −0.0227154 | + | 0.0131148i | ||||
\(986\) | −4.64677 | + | 8.04844i | −0.147983 | + | 0.256314i | ||||
\(987\) | −0.459593 | − | 0.671707i | −0.0146290 | − | 0.0213807i | ||||
\(988\) | −26.6510 | − | 21.7613i | −0.847881 | − | 0.692319i | ||||
\(989\) | −5.74012 | − | 3.31406i | −0.182525 | − | 0.105381i | ||||
\(990\) | 4.37062 | + | 8.86718i | 0.138908 | + | 0.281817i | ||||
\(991\) | −13.7487 | −0.436743 | −0.218372 | − | 0.975866i | \(-0.570074\pi\) | ||||
−0.218372 | + | 0.975866i | \(0.570074\pi\) | |||||||
\(992\) | −124.563 | −3.95489 | ||||||||
\(993\) | 22.2960 | + | 13.8676i | 0.707542 | + | 0.440075i | ||||
\(994\) | −26.5012 | − | 11.6546i | −0.840566 | − | 0.369661i | ||||
\(995\) | −4.38559 | + | 2.53202i | −0.139033 | + | 0.0802705i | ||||
\(996\) | 95.4703 | − | 51.0177i | 3.02509 | − | 1.61656i | ||||
\(997\) | 21.9503 | + | 12.6730i | 0.695172 | + | 0.401358i | 0.805547 | − | 0.592532i | \(-0.201872\pi\) |
−0.110374 | + | 0.993890i | \(0.535205\pi\) | |||||||
\(998\) | 29.9319i | 0.947478i | ||||||||
\(999\) | −33.0872 | + | 14.9797i | −1.04683 | + | 0.473938i |
(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 | 273.2.bf.b.152.1 | yes | 64 | |
3.2 | odd | 2 | inner | 273.2.bf.b.152.32 | yes | 64 | |
7.3 | odd | 6 | 273.2.r.b.269.1 | yes | 64 | ||
13.3 | even | 3 | 273.2.r.b.68.1 | ✓ | 64 | ||
21.17 | even | 6 | 273.2.r.b.269.32 | yes | 64 | ||
39.29 | odd | 6 | 273.2.r.b.68.32 | yes | 64 | ||
91.3 | odd | 6 | inner | 273.2.bf.b.185.32 | yes | 64 | |
273.185 | even | 6 | inner | 273.2.bf.b.185.1 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.r.b.68.1 | ✓ | 64 | 13.3 | even | 3 | ||
273.2.r.b.68.32 | yes | 64 | 39.29 | odd | 6 | ||
273.2.r.b.269.1 | yes | 64 | 7.3 | odd | 6 | ||
273.2.r.b.269.32 | yes | 64 | 21.17 | even | 6 | ||
273.2.bf.b.152.1 | yes | 64 | 1.1 | even | 1 | trivial | |
273.2.bf.b.152.32 | yes | 64 | 3.2 | odd | 2 | inner | |
273.2.bf.b.185.1 | yes | 64 | 273.185 | even | 6 | inner | |
273.2.bf.b.185.32 | yes | 64 | 91.3 | odd | 6 | inner |