Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (of order \(12\), degree \(4\), 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: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.17 | ||
Character | \(\chi\) | \(=\) | 185.8 |
Dual form | 185.2.u.a.162.17 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.10002 | − | 1.21245i | 1.48494 | − | 0.857330i | 0.485086 | − | 0.874467i | \(-0.338788\pi\) |
0.999853 | + | 0.0171367i | \(0.00545505\pi\) | |||||||
\(3\) | 0.586925 | + | 2.19044i | 0.338862 | + | 1.26465i | 0.899622 | + | 0.436670i | \(0.143842\pi\) |
−0.560760 | + | 0.827978i | \(0.689491\pi\) | |||||||
\(4\) | 1.94006 | − | 3.36028i | 0.970029 | − | 1.68014i | ||||
\(5\) | −1.71236 | + | 1.43799i | −0.765792 | + | 0.643088i | ||||
\(6\) | 3.88834 | + | 3.88834i | 1.58741 | + | 1.58741i | ||||
\(7\) | −0.132002 | − | 0.492639i | −0.0498922 | − | 0.186200i | 0.936483 | − | 0.350714i | \(-0.114061\pi\) |
−0.986375 | + | 0.164514i | \(0.947394\pi\) | |||||||
\(8\) | − | 4.55908i | − | 1.61188i | ||||||
\(9\) | −1.85545 | + | 1.07124i | −0.618483 | + | 0.357081i | ||||
\(10\) | −1.85251 | + | 5.09596i | −0.585815 | + | 1.61148i | ||||
\(11\) | − | 3.54199i | − | 1.06795i | −0.845500 | − | 0.533975i | \(-0.820697\pi\) | ||
0.845500 | − | 0.533975i | \(-0.179303\pi\) | |||||||
\(12\) | 8.49914 | + | 2.27734i | 2.45349 | + | 0.657411i | ||||
\(13\) | −3.22442 | − | 1.86162i | −0.894292 | − | 0.516320i | −0.0189483 | − | 0.999820i | \(-0.506032\pi\) |
−0.875344 | + | 0.483501i | \(0.839365\pi\) | |||||||
\(14\) | −0.874506 | − | 0.874506i | −0.233722 | − | 0.233722i | ||||
\(15\) | −4.15485 | − | 2.90683i | −1.07278 | − | 0.750540i | ||||
\(16\) | −1.64753 | − | 2.85361i | −0.411884 | − | 0.713404i | ||||
\(17\) | −2.57840 | − | 4.46592i | −0.625354 | − | 1.08315i | −0.988472 | − | 0.151402i | \(-0.951621\pi\) |
0.363118 | − | 0.931743i | \(-0.381712\pi\) | |||||||
\(18\) | −2.59765 | + | 4.49927i | −0.612273 | + | 1.06049i | ||||
\(19\) | 1.61089 | + | 6.01191i | 0.369563 | + | 1.37923i | 0.861129 | + | 0.508387i | \(0.169758\pi\) |
−0.491566 | + | 0.870841i | \(0.663575\pi\) | |||||||
\(20\) | 1.50996 | + | 8.54380i | 0.337638 | + | 1.91045i | ||||
\(21\) | 1.00162 | − | 0.578285i | 0.218571 | − | 0.126192i | ||||
\(22\) | −4.29448 | − | 7.43826i | −0.915586 | − | 1.58584i | ||||
\(23\) | − | 0.338516i | − | 0.0705855i | −0.999377 | − | 0.0352927i | \(-0.988764\pi\) | ||
0.999377 | − | 0.0352927i | \(-0.0112364\pi\) | |||||||
\(24\) | 9.98638 | − | 2.67584i | 2.03846 | − | 0.546204i | ||||
\(25\) | 0.864372 | − | 4.92472i | 0.172874 | − | 0.984944i | ||||
\(26\) | −9.02846 | −1.77063 | ||||||||
\(27\) | 1.37503 | + | 1.37503i | 0.264624 | + | 0.264624i | ||||
\(28\) | −1.91150 | − | 0.512184i | −0.361239 | − | 0.0967937i | ||||
\(29\) | 2.27033 | + | 2.27033i | 0.421589 | + | 0.421589i | 0.885751 | − | 0.464161i | \(-0.153644\pi\) |
−0.464161 | + | 0.885751i | \(0.653644\pi\) | |||||||
\(30\) | −12.2497 | − | 1.06686i | −2.23647 | − | 0.194781i | ||||
\(31\) | −5.38302 | + | 5.38302i | −0.966820 | + | 0.966820i | −0.999467 | − | 0.0326474i | \(-0.989606\pi\) |
0.0326474 | + | 0.999467i | \(0.489606\pi\) | |||||||
\(32\) | 0.976852 | + | 0.563986i | 0.172685 | + | 0.0996995i | ||||
\(33\) | 7.75850 | − | 2.07889i | 1.35058 | − | 0.361887i | ||||
\(34\) | −10.8294 | − | 6.25235i | −1.85723 | − | 1.07227i | ||||
\(35\) | 0.934445 | + | 0.653759i | 0.157950 | + | 0.110505i | ||||
\(36\) | 8.31310i | 1.38552i | ||||||||
\(37\) | −5.22969 | + | 3.10650i | −0.859756 | + | 0.510705i | ||||
\(38\) | 10.6720 | + | 10.6720i | 1.73123 | + | 1.73123i | ||||
\(39\) | 2.18526 | − | 8.15551i | 0.349922 | − | 1.30593i | ||||
\(40\) | 6.55592 | + | 7.80681i | 1.03658 | + | 1.23436i | ||||
\(41\) | 3.68619 | + | 2.12823i | 0.575687 | + | 0.332373i | 0.759417 | − | 0.650604i | \(-0.225484\pi\) |
−0.183731 | + | 0.982977i | \(0.558817\pi\) | |||||||
\(42\) | 1.40228 | − | 2.42882i | 0.216376 | − | 0.374775i | ||||
\(43\) | − | 7.27408i | − | 1.10929i | −0.832088 | − | 0.554643i | \(-0.812855\pi\) | ||
0.832088 | − | 0.554643i | \(-0.187145\pi\) | |||||||
\(44\) | −11.9021 | − | 6.87167i | −1.79431 | − | 1.03594i | ||||
\(45\) | 1.63676 | − | 4.50247i | 0.243994 | − | 0.671189i | ||||
\(46\) | −0.410433 | − | 0.710891i | −0.0605150 | − | 0.104815i | ||||
\(47\) | 5.08602 | − | 5.08602i | 0.741872 | − | 0.741872i | −0.231066 | − | 0.972938i | \(-0.574221\pi\) |
0.972938 | + | 0.231066i | \(0.0742214\pi\) | |||||||
\(48\) | 5.28368 | − | 5.28368i | 0.762633 | − | 0.762633i | ||||
\(49\) | 5.83691 | − | 3.36994i | 0.833844 | − | 0.481420i | ||||
\(50\) | −4.15576 | − | 11.3900i | −0.587714 | − | 1.61079i | ||||
\(51\) | 8.26899 | − | 8.26899i | 1.15789 | − | 1.15789i | ||||
\(52\) | −12.5111 | + | 7.22329i | −1.73498 | + | 1.00169i | ||||
\(53\) | −3.06455 | + | 11.4370i | −0.420948 | + | 1.57100i | 0.351668 | + | 0.936125i | \(0.385615\pi\) |
−0.772616 | + | 0.634874i | \(0.781052\pi\) | |||||||
\(54\) | 4.55474 | + | 1.22044i | 0.619822 | + | 0.166081i | ||||
\(55\) | 5.09335 | + | 6.06518i | 0.686787 | + | 0.817828i | ||||
\(56\) | −2.24598 | + | 0.601809i | −0.300132 | + | 0.0804202i | ||||
\(57\) | −12.2232 | + | 7.05709i | −1.61901 | + | 0.934734i | ||||
\(58\) | 7.52039 | + | 2.01508i | 0.987476 | + | 0.264593i | ||||
\(59\) | −4.75083 | − | 1.27298i | −0.618505 | − | 0.165728i | −0.0640571 | − | 0.997946i | \(-0.520404\pi\) |
−0.554448 | + | 0.832218i | \(0.687071\pi\) | |||||||
\(60\) | −17.8284 | + | 8.32205i | −2.30164 | + | 1.07437i | ||||
\(61\) | 3.52938 | + | 13.1718i | 0.451890 | + | 1.68648i | 0.697073 | + | 0.717001i | \(0.254486\pi\) |
−0.245182 | + | 0.969477i | \(0.578848\pi\) | |||||||
\(62\) | −4.77783 | + | 17.8311i | −0.606785 | + | 2.26455i | ||||
\(63\) | 0.772660 | + | 0.772660i | 0.0973460 | + | 0.0973460i | ||||
\(64\) | 9.32535 | 1.16567 | ||||||||
\(65\) | 8.19836 | − | 1.44891i | 1.01688 | − | 0.179716i | ||||
\(66\) | 13.7725 | − | 13.7725i | 1.69528 | − | 1.69528i | ||||
\(67\) | −6.51128 | + | 1.74469i | −0.795480 | + | 0.213148i | −0.633599 | − | 0.773662i | \(-0.718423\pi\) |
−0.161881 | + | 0.986810i | \(0.551756\pi\) | |||||||
\(68\) | −20.0090 | −2.42645 | ||||||||
\(69\) | 0.741497 | − | 0.198684i | 0.0892658 | − | 0.0239187i | ||||
\(70\) | 2.75500 | + | 0.239941i | 0.329286 | + | 0.0286784i | ||||
\(71\) | 4.65903 | − | 8.06967i | 0.552925 | − | 0.957694i | −0.445137 | − | 0.895463i | \(-0.646845\pi\) |
0.998062 | − | 0.0622314i | \(-0.0198217\pi\) | |||||||
\(72\) | 4.88389 | + | 8.45915i | 0.575572 | + | 0.996920i | ||||
\(73\) | −3.04875 | + | 3.04875i | −0.356829 | + | 0.356829i | −0.862643 | − | 0.505814i | \(-0.831192\pi\) |
0.505814 | + | 0.862643i | \(0.331192\pi\) | |||||||
\(74\) | −7.21600 | + | 12.8644i | −0.838843 | + | 1.49546i | ||||
\(75\) | 11.2946 | − | 0.997092i | 1.30419 | − | 0.115134i | ||||
\(76\) | 23.3269 | + | 6.25043i | 2.67578 | + | 0.716974i | ||||
\(77\) | −1.74492 | + | 0.467551i | −0.198853 | + | 0.0532824i | ||||
\(78\) | −5.29903 | − | 19.7763i | −0.599997 | − | 2.23922i | ||||
\(79\) | −0.309140 | − | 1.15373i | −0.0347810 | − | 0.129804i | 0.946352 | − | 0.323136i | \(-0.104737\pi\) |
−0.981133 | + | 0.193332i | \(0.938071\pi\) | |||||||
\(80\) | 6.92464 | + | 2.51728i | 0.774199 | + | 0.281441i | ||||
\(81\) | −5.41860 | + | 9.38530i | −0.602067 | + | 1.04281i | ||||
\(82\) | 10.3214 | 1.13981 | ||||||||
\(83\) | 2.96248 | − | 11.0561i | 0.325174 | − | 1.21357i | −0.588962 | − | 0.808161i | \(-0.700463\pi\) |
0.914137 | − | 0.405406i | \(-0.132870\pi\) | |||||||
\(84\) | − | 4.48762i | − | 0.489640i | ||||||
\(85\) | 10.8371 | + | 3.93957i | 1.17545 | + | 0.427306i | ||||
\(86\) | −8.81944 | − | 15.2757i | −0.951025 | − | 1.64722i | ||||
\(87\) | −3.64049 | + | 6.30552i | −0.390302 | + | 0.676023i | ||||
\(88\) | −16.1482 | −1.72141 | ||||||||
\(89\) | 3.23761 | − | 12.0829i | 0.343186 | − | 1.28079i | −0.551531 | − | 0.834155i | \(-0.685956\pi\) |
0.894717 | − | 0.446634i | \(-0.147377\pi\) | |||||||
\(90\) | −2.02178 | − | 11.4398i | −0.213114 | − | 1.20586i | ||||
\(91\) | −0.491475 | + | 1.83421i | −0.0515206 | + | 0.192278i | ||||
\(92\) | −1.13751 | − | 0.656741i | −0.118593 | − | 0.0684700i | ||||
\(93\) | −14.9506 | − | 8.63173i | −1.55030 | − | 0.895069i | ||||
\(94\) | 4.51421 | − | 16.8473i | 0.465606 | − | 1.73766i | ||||
\(95\) | −11.4035 | − | 7.97814i | −1.16997 | − | 0.818540i | ||||
\(96\) | −0.662035 | + | 2.47075i | −0.0675686 | + | 0.252170i | ||||
\(97\) | −4.72808 | −0.480064 | −0.240032 | − | 0.970765i | \(-0.577158\pi\) | ||||
−0.240032 | + | 0.970765i | \(0.577158\pi\) | |||||||
\(98\) | 8.17175 | − | 14.1539i | 0.825472 | − | 1.42976i | ||||
\(99\) | 3.79434 | + | 6.57199i | 0.381345 | + | 0.660509i | ||||
\(100\) | −14.8715 | − | 12.4588i | −1.48715 | − | 1.24588i | ||||
\(101\) | − | 7.82698i | − | 0.778814i | −0.921066 | − | 0.389407i | \(-0.872680\pi\) | ||
0.921066 | − | 0.389407i | \(-0.127320\pi\) | |||||||
\(102\) | 7.33933 | − | 27.3908i | 0.726702 | − | 2.71209i | ||||
\(103\) | 4.11567 | 0.405529 | 0.202764 | − | 0.979228i | \(-0.435007\pi\) | ||||
0.202764 | + | 0.979228i | \(0.435007\pi\) | |||||||
\(104\) | −8.48727 | + | 14.7004i | −0.832246 | + | 1.44149i | ||||
\(105\) | −0.883567 | + | 2.43055i | −0.0862273 | + | 0.237197i | ||||
\(106\) | 7.43120 | + | 27.7336i | 0.721782 | + | 2.69373i | ||||
\(107\) | −4.12965 | − | 15.4121i | −0.399229 | − | 1.48994i | −0.814457 | − | 0.580224i | \(-0.802965\pi\) |
0.415228 | − | 0.909717i | \(-0.363702\pi\) | |||||||
\(108\) | 7.28812 | − | 1.95285i | 0.701299 | − | 0.187913i | ||||
\(109\) | 8.54823 | + | 2.29049i | 0.818772 | + | 0.219389i | 0.643809 | − | 0.765186i | \(-0.277353\pi\) |
0.174962 | + | 0.984575i | \(0.444020\pi\) | |||||||
\(110\) | 18.0498 | + | 6.56158i | 1.72099 | + | 0.625622i | ||||
\(111\) | −9.87402 | − | 9.63202i | −0.937200 | − | 0.914231i | ||||
\(112\) | −1.18832 | + | 1.18832i | −0.112286 | + | 0.112286i | ||||
\(113\) | 1.99398 | + | 3.45367i | 0.187578 | + | 0.324894i | 0.944442 | − | 0.328678i | \(-0.106603\pi\) |
−0.756864 | + | 0.653572i | \(0.773270\pi\) | |||||||
\(114\) | −17.1127 | + | 29.6401i | −1.60275 | + | 2.77605i | ||||
\(115\) | 0.486782 | + | 0.579662i | 0.0453927 | + | 0.0540538i | ||||
\(116\) | 12.0335 | − | 3.22437i | 1.11728 | − | 0.299375i | ||||
\(117\) | 7.97699 | 0.737473 | ||||||||
\(118\) | −11.5203 | + | 3.08684i | −1.06053 | + | 0.284167i | ||||
\(119\) | −1.85973 | + | 1.85973i | −0.170481 | + | 0.170481i | ||||
\(120\) | −13.2525 | + | 18.9423i | −1.20978 | + | 1.72919i | ||||
\(121\) | −1.54571 | −0.140519 | ||||||||
\(122\) | 23.3819 | + | 23.3819i | 2.11690 | + | 2.11690i | ||||
\(123\) | −2.49822 | + | 9.32348i | −0.225257 | + | 0.840670i | ||||
\(124\) | 7.64508 | + | 28.5318i | 0.686549 | + | 2.56223i | ||||
\(125\) | 5.60158 | + | 9.67586i | 0.501020 | + | 0.865436i | ||||
\(126\) | 2.55941 | + | 0.685792i | 0.228011 | + | 0.0610952i | ||||
\(127\) | −10.7680 | − | 2.88527i | −0.955504 | − | 0.256027i | −0.252808 | − | 0.967516i | \(-0.581354\pi\) |
−0.702696 | + | 0.711490i | \(0.748021\pi\) | |||||||
\(128\) | 17.6297 | − | 10.1785i | 1.55826 | − | 0.899663i | ||||
\(129\) | 15.9334 | − | 4.26934i | 1.40286 | − | 0.375895i | ||||
\(130\) | 15.4600 | − | 12.9828i | 1.35593 | − | 1.13867i | ||||
\(131\) | −3.98701 | − | 1.06832i | −0.348347 | − | 0.0933393i | 0.0804031 | − | 0.996762i | \(-0.474379\pi\) |
−0.428750 | + | 0.903423i | \(0.641046\pi\) | |||||||
\(132\) | 8.06632 | − | 30.1039i | 0.702083 | − | 2.62021i | ||||
\(133\) | 2.74906 | − | 1.58717i | 0.238374 | − | 0.137625i | ||||
\(134\) | −11.5585 | + | 11.5585i | −0.998501 | + | 0.998501i | ||||
\(135\) | −4.33183 | − | 0.377271i | −0.372824 | − | 0.0324703i | ||||
\(136\) | −20.3605 | + | 11.7552i | −1.74590 | + | 1.00800i | ||||
\(137\) | −10.9312 | + | 10.9312i | −0.933918 | + | 0.933918i | −0.997948 | − | 0.0640304i | \(-0.979605\pi\) |
0.0640304 | + | 0.997948i | \(0.479605\pi\) | |||||||
\(138\) | 1.31627 | − | 1.31627i | 0.112048 | − | 0.112048i | ||||
\(139\) | −3.85294 | − | 6.67349i | −0.326802 | − | 0.566038i | 0.655073 | − | 0.755566i | \(-0.272638\pi\) |
−0.981875 | + | 0.189527i | \(0.939304\pi\) | |||||||
\(140\) | 4.00969 | − | 1.87167i | 0.338881 | − | 0.158185i | ||||
\(141\) | 14.1257 | + | 8.15548i | 1.18960 | + | 0.686815i | ||||
\(142\) | − | 22.5953i | − | 1.89616i | ||||||
\(143\) | −6.59384 | + | 11.4209i | −0.551404 | + | 0.955060i | ||||
\(144\) | 6.11383 | + | 3.52982i | 0.509486 | + | 0.294152i | ||||
\(145\) | −7.15234 | − | 0.622917i | −0.593969 | − | 0.0517305i | ||||
\(146\) | −2.70599 | + | 10.0989i | −0.223949 | + | 0.835789i | ||||
\(147\) | 10.8075 | + | 10.8075i | 0.891385 | + | 0.891385i | ||||
\(148\) | 0.292792 | + | 23.6000i | 0.0240674 | + | 1.93991i | ||||
\(149\) | − | 4.52038i | − | 0.370324i | −0.982708 | − | 0.185162i | \(-0.940719\pi\) | ||
0.982708 | − | 0.185162i | \(-0.0592810\pi\) | |||||||
\(150\) | 22.5100 | − | 15.7880i | 1.83793 | − | 1.28909i | ||||
\(151\) | 7.34080 | + | 4.23821i | 0.597386 | + | 0.344901i | 0.768013 | − | 0.640435i | \(-0.221246\pi\) |
−0.170626 | + | 0.985336i | \(0.554579\pi\) | |||||||
\(152\) | 27.4088 | − | 7.34417i | 2.22315 | − | 0.595691i | ||||
\(153\) | 9.56819 | + | 5.52419i | 0.773542 | + | 0.446605i | ||||
\(154\) | −3.09749 | + | 3.09749i | −0.249603 | + | 0.249603i | ||||
\(155\) | 1.47696 | − | 16.9584i | 0.118632 | − | 1.36213i | ||||
\(156\) | −23.1652 | − | 23.1652i | −1.85470 | − | 1.85470i | ||||
\(157\) | −6.25734 | − | 1.67665i | −0.499390 | − | 0.133811i | 0.000326679 | − | 1.00000i | \(-0.499896\pi\) |
−0.499717 | + | 0.866189i | \(0.666563\pi\) | |||||||
\(158\) | −2.04803 | − | 2.04803i | −0.162933 | − | 0.162933i | ||||
\(159\) | −26.8508 | −2.12940 | ||||||||
\(160\) | −2.48373 | + | 0.438955i | −0.196356 | + | 0.0347024i | ||||
\(161\) | −0.166766 | + | 0.0446849i | −0.0131430 | + | 0.00352166i | ||||
\(162\) | 26.2791i | 2.06468i | ||||||||
\(163\) | 5.44041 | + | 9.42307i | 0.426126 | + | 0.738072i | 0.996525 | − | 0.0832960i | \(-0.0265447\pi\) |
−0.570399 | + | 0.821368i | \(0.693211\pi\) | |||||||
\(164\) | 14.3029 | − | 8.25776i | 1.11687 | − | 0.644823i | ||||
\(165\) | −10.2960 | + | 14.7165i | −0.801539 | + | 1.14567i | ||||
\(166\) | −7.18370 | − | 26.8099i | −0.557563 | − | 2.08085i | ||||
\(167\) | −0.0342983 | + | 0.0594064i | −0.00265408 | + | 0.00459701i | −0.867349 | − | 0.497700i | \(-0.834178\pi\) |
0.864695 | + | 0.502297i | \(0.167511\pi\) | |||||||
\(168\) | −2.63645 | − | 4.56646i | −0.203406 | − | 0.352310i | ||||
\(169\) | 0.431244 | + | 0.746936i | 0.0331726 | + | 0.0574566i | ||||
\(170\) | 27.5347 | − | 4.86626i | 2.11181 | − | 0.373225i | ||||
\(171\) | −9.42915 | − | 9.42915i | −0.721065 | − | 0.721065i | ||||
\(172\) | −24.4429 | − | 14.1121i | −1.86376 | − | 1.07604i | ||||
\(173\) | 5.77870 | + | 1.54840i | 0.439346 | + | 0.117722i | 0.471710 | − | 0.881754i | \(-0.343637\pi\) |
−0.0323639 | + | 0.999476i | \(0.510304\pi\) | |||||||
\(174\) | 17.6556i | 1.33847i | ||||||||
\(175\) | −2.54021 | + | 0.224251i | −0.192022 | + | 0.0169517i | ||||
\(176\) | −10.1075 | + | 5.83556i | −0.761880 | + | 0.439872i | ||||
\(177\) | − | 11.1535i | − | 0.838351i | ||||||
\(178\) | −7.85087 | − | 29.2999i | −0.588448 | − | 2.19612i | ||||
\(179\) | 11.7111 | + | 11.7111i | 0.875328 | + | 0.875328i | 0.993047 | − | 0.117719i | \(-0.0375583\pi\) |
−0.117719 | + | 0.993047i | \(0.537558\pi\) | |||||||
\(180\) | −11.9542 | − | 14.2350i | −0.891010 | − | 1.06102i | ||||
\(181\) | −7.37562 | + | 12.7750i | −0.548226 | + | 0.949555i | 0.450171 | + | 0.892943i | \(0.351363\pi\) |
−0.998396 | + | 0.0566121i | \(0.981970\pi\) | |||||||
\(182\) | 1.19178 | + | 4.44777i | 0.0883404 | + | 0.329691i | ||||
\(183\) | −26.7805 | + | 15.4617i | −1.97967 | + | 1.14296i | ||||
\(184\) | −1.54332 | −0.113775 | ||||||||
\(185\) | 4.48802 | − | 12.8397i | 0.329966 | − | 0.943993i | ||||
\(186\) | −41.8621 | −3.06948 | ||||||||
\(187\) | −15.8183 | + | 9.13268i | −1.15675 | + | 0.667848i | ||||
\(188\) | −7.22327 | − | 26.9576i | −0.526811 | − | 1.96609i | ||||
\(189\) | 0.495886 | − | 0.858900i | 0.0360704 | − | 0.0624758i | ||||
\(190\) | −33.6207 | − | 2.92812i | −2.43910 | − | 0.212428i | ||||
\(191\) | −5.10682 | − | 5.10682i | −0.369517 | − | 0.369517i | 0.497784 | − | 0.867301i | \(-0.334147\pi\) |
−0.867301 | + | 0.497784i | \(0.834147\pi\) | |||||||
\(192\) | 5.47328 | + | 20.4266i | 0.395000 | + | 1.47416i | ||||
\(193\) | 16.0854i | 1.15785i | 0.815381 | + | 0.578925i | \(0.196528\pi\) | ||||
−0.815381 | + | 0.578925i | \(0.803472\pi\) | |||||||
\(194\) | −9.92906 | + | 5.73255i | −0.712865 | + | 0.411573i | ||||
\(195\) | 7.98557 | + | 17.1076i | 0.571859 | + | 1.22510i | ||||
\(196\) | − | 26.1515i | − | 1.86797i | ||||||
\(197\) | −1.27500 | − | 0.341636i | −0.0908403 | − | 0.0243406i | 0.213113 | − | 0.977028i | \(-0.431640\pi\) |
−0.303953 | + | 0.952687i | \(0.598307\pi\) | |||||||
\(198\) | 15.9364 | + | 9.20087i | 1.13255 | + | 0.653877i | ||||
\(199\) | −6.93417 | − | 6.93417i | −0.491550 | − | 0.491550i | 0.417244 | − | 0.908794i | \(-0.362996\pi\) |
−0.908794 | + | 0.417244i | \(0.862996\pi\) | |||||||
\(200\) | −22.4522 | − | 3.94075i | −1.58761 | − | 0.278653i | ||||
\(201\) | −7.64327 | − | 13.2385i | −0.539115 | − | 0.933775i | ||||
\(202\) | −9.48980 | − | 16.4368i | −0.667700 | − | 1.15649i | ||||
\(203\) | 0.818764 | − | 1.41814i | 0.0574660 | − | 0.0995340i | ||||
\(204\) | −11.7438 | − | 43.8284i | −0.822230 | − | 3.06860i | ||||
\(205\) | −9.37247 | + | 1.65642i | −0.654602 | + | 0.115689i | ||||
\(206\) | 8.64298 | − | 4.99003i | 0.602185 | − | 0.347672i | ||||
\(207\) | 0.362633 | + | 0.628099i | 0.0252048 | + | 0.0436559i | ||||
\(208\) | 12.2683i | 0.850655i | ||||||||
\(209\) | 21.2942 | − | 5.70575i | 1.47295 | − | 0.394675i | ||||
\(210\) | 1.09141 | + | 6.17548i | 0.0753142 | + | 0.426149i | ||||
\(211\) | 20.0827 | 1.38255 | 0.691276 | − | 0.722591i | \(-0.257049\pi\) | ||||
0.691276 | + | 0.722591i | \(0.257049\pi\) | |||||||
\(212\) | 32.4863 | + | 32.4863i | 2.23117 | + | 2.23117i | ||||
\(213\) | 20.4106 | + | 5.46900i | 1.39851 | + | 0.374730i | ||||
\(214\) | −27.3587 | − | 27.3587i | −1.87020 | − | 1.87020i | ||||
\(215\) | 10.4601 | + | 12.4559i | 0.713370 | + | 0.849483i | ||||
\(216\) | 6.26887 | − | 6.26887i | 0.426543 | − | 0.426543i | ||||
\(217\) | 3.36246 | + | 1.94132i | 0.228259 | + | 0.131785i | ||||
\(218\) | 20.7286 | − | 5.55420i | 1.40391 | − | 0.376178i | ||||
\(219\) | −8.46747 | − | 4.88870i | −0.572179 | − | 0.330348i | ||||
\(220\) | 30.2621 | − | 5.34828i | 2.04027 | − | 0.360581i | ||||
\(221\) | 19.2000i | 1.29153i | ||||||||
\(222\) | −32.4140 | − | 8.25571i | −2.17548 | − | 0.554087i | ||||
\(223\) | 7.38420 | + | 7.38420i | 0.494483 | + | 0.494483i | 0.909715 | − | 0.415233i | \(-0.136300\pi\) |
−0.415233 | + | 0.909715i | \(0.636300\pi\) | |||||||
\(224\) | 0.148895 | − | 0.555683i | 0.00994844 | − | 0.0371281i | ||||
\(225\) | 3.67178 | + | 10.0635i | 0.244785 | + | 0.670901i | ||||
\(226\) | 8.37480 | + | 4.83519i | 0.557083 | + | 0.321632i | ||||
\(227\) | 7.02187 | − | 12.1622i | 0.466058 | − | 0.807236i | −0.533190 | − | 0.845995i | \(-0.679007\pi\) |
0.999249 | + | 0.0387589i | \(0.0123404\pi\) | |||||||
\(228\) | 54.7647i | 3.62688i | ||||||||
\(229\) | −4.87436 | − | 2.81421i | −0.322107 | − | 0.185968i | 0.330224 | − | 0.943902i | \(-0.392876\pi\) |
−0.652331 | + | 0.757934i | \(0.726209\pi\) | |||||||
\(230\) | 1.72506 | + | 0.627104i | 0.113747 | + | 0.0413500i | ||||
\(231\) | −2.04828 | − | 3.54772i | −0.134767 | − | 0.233423i | ||||
\(232\) | 10.3506 | − | 10.3506i | 0.679552 | − | 0.679552i | ||||
\(233\) | −0.663810 | + | 0.663810i | −0.0434877 | + | 0.0434877i | −0.728516 | − | 0.685029i | \(-0.759790\pi\) |
0.685029 | + | 0.728516i | \(0.259790\pi\) | |||||||
\(234\) | 16.7518 | − | 9.67168i | 1.09510 | − | 0.632258i | ||||
\(235\) | −1.39547 | + | 16.0227i | −0.0910302 | + | 1.04521i | ||||
\(236\) | −13.4945 | + | 13.4945i | −0.878414 | + | 0.878414i | ||||
\(237\) | 2.34572 | − | 1.35430i | 0.152371 | − | 0.0879714i | ||||
\(238\) | −1.65065 | + | 6.16031i | −0.106996 | + | 0.399313i | ||||
\(239\) | −16.2404 | − | 4.35161i | −1.05051 | − | 0.281482i | −0.308046 | − | 0.951372i | \(-0.599675\pi\) |
−0.742461 | + | 0.669889i | \(0.766342\pi\) | |||||||
\(240\) | −1.44970 | + | 16.6454i | −0.0935777 | + | 1.07446i | ||||
\(241\) | −17.7499 | + | 4.75606i | −1.14337 | + | 0.306365i | −0.780305 | − | 0.625399i | \(-0.784936\pi\) |
−0.363065 | + | 0.931764i | \(0.618270\pi\) | |||||||
\(242\) | −3.24602 | + | 1.87409i | −0.208662 | + | 0.120471i | ||||
\(243\) | −18.1032 | − | 4.85075i | −1.16132 | − | 0.311176i | ||||
\(244\) | 51.1082 | + | 13.6944i | 3.27186 | + | 0.876693i | ||||
\(245\) | −5.14897 | + | 14.1640i | −0.328955 | + | 0.904903i | ||||
\(246\) | 6.05792 | + | 22.6085i | 0.386239 | + | 1.44146i | ||||
\(247\) | 5.99772 | − | 22.3838i | 0.381625 | − | 1.42425i | ||||
\(248\) | 24.5417 | + | 24.5417i | 1.55840 | + | 1.55840i | ||||
\(249\) | 25.9565 | 1.64492 | ||||||||
\(250\) | 23.4949 | + | 13.5279i | 1.48595 | + | 0.855579i | ||||
\(251\) | −5.87927 | + | 5.87927i | −0.371096 | + | 0.371096i | −0.867876 | − | 0.496780i | \(-0.834516\pi\) |
0.496780 | + | 0.867876i | \(0.334516\pi\) | |||||||
\(252\) | 4.09536 | − | 1.09735i | 0.257983 | − | 0.0691264i | ||||
\(253\) | −1.19902 | −0.0753818 | ||||||||
\(254\) | −26.1112 | + | 6.99649i | −1.63836 | + | 0.438999i | ||||
\(255\) | −2.26879 | + | 26.0502i | −0.142077 | + | 1.63133i | ||||
\(256\) | 15.3565 | − | 26.5983i | 0.959782 | − | 1.66239i | ||||
\(257\) | −7.49045 | − | 12.9738i | −0.467241 | − | 0.809286i | 0.532058 | − | 0.846708i | \(-0.321419\pi\) |
−0.999300 | + | 0.0374219i | \(0.988085\pi\) | |||||||
\(258\) | 28.2841 | − | 28.2841i | 1.76089 | − | 1.76089i | ||||
\(259\) | 2.22071 | + | 2.16629i | 0.137988 | + | 0.134606i | ||||
\(260\) | 11.0365 | − | 30.3598i | 0.684457 | − | 1.88283i | ||||
\(261\) | −6.64456 | − | 1.78040i | −0.411288 | − | 0.110204i | ||||
\(262\) | −9.66809 | + | 2.59056i | −0.597297 | + | 0.160045i | ||||
\(263\) | −3.63934 | − | 13.5822i | −0.224411 | − | 0.837514i | −0.982640 | − | 0.185525i | \(-0.940601\pi\) |
0.758228 | − | 0.651989i | \(-0.226065\pi\) | |||||||
\(264\) | −9.47781 | − | 35.3717i | −0.583319 | − | 2.17698i | ||||
\(265\) | −11.1987 | − | 23.9912i | −0.687933 | − | 1.47376i | ||||
\(266\) | 3.84873 | − | 6.66619i | 0.235981 | − | 0.408730i | ||||
\(267\) | 28.3671 | 1.73604 | ||||||||
\(268\) | −6.76961 | + | 25.2645i | −0.413520 | + | 1.54328i | ||||
\(269\) | 1.04920i | 0.0639708i | 0.999488 | + | 0.0319854i | \(0.0101830\pi\) | ||||
−0.999488 | + | 0.0319854i | \(0.989817\pi\) | |||||||
\(270\) | −9.55435 | + | 4.45983i | −0.581459 | + | 0.271417i | ||||
\(271\) | −6.57360 | − | 11.3858i | −0.399318 | − | 0.691638i | 0.594324 | − | 0.804225i | \(-0.297420\pi\) |
−0.993642 | + | 0.112587i | \(0.964086\pi\) | |||||||
\(272\) | −8.49601 | + | 14.7155i | −0.515147 | + | 0.892260i | ||||
\(273\) | −4.30618 | −0.260622 | ||||||||
\(274\) | −9.70226 | + | 36.2093i | −0.586135 | + | 2.18749i | ||||
\(275\) | −17.4433 | − | 3.06160i | −1.05187 | − | 0.184621i | ||||
\(276\) | 0.770916 | − | 2.87710i | 0.0464037 | − | 0.173181i | ||||
\(277\) | 13.8716 | + | 8.00875i | 0.833461 | + | 0.481199i | 0.855036 | − | 0.518568i | \(-0.173535\pi\) |
−0.0215750 | + | 0.999767i | \(0.506868\pi\) | |||||||
\(278\) | −16.1825 | − | 9.34298i | −0.970563 | − | 0.560355i | ||||
\(279\) | 4.22139 | − | 15.7545i | 0.252728 | − | 0.943195i | ||||
\(280\) | 2.98054 | − | 4.26022i | 0.178121 | − | 0.254597i | ||||
\(281\) | 1.07217 | − | 4.00139i | 0.0639603 | − | 0.238703i | −0.926544 | − | 0.376187i | \(-0.877235\pi\) |
0.990504 | + | 0.137484i | \(0.0439016\pi\) | |||||||
\(282\) | 39.5524 | 2.35531 | ||||||||
\(283\) | −10.2040 | + | 17.6738i | −0.606563 | + | 1.05060i | 0.385239 | + | 0.922817i | \(0.374119\pi\) |
−0.991802 | + | 0.127782i | \(0.959214\pi\) | |||||||
\(284\) | −18.0776 | − | 31.3113i | −1.07271 | − | 1.85798i | ||||
\(285\) | 10.7826 | − | 29.6612i | 0.638706 | − | 1.75698i | ||||
\(286\) | 31.9787i | 1.89094i | ||||||||
\(287\) | 0.561861 | − | 2.09689i | 0.0331656 | − | 0.123776i | ||||
\(288\) | −2.41666 | −0.142403 | ||||||||
\(289\) | −4.79631 | + | 8.30746i | −0.282136 | + | 0.488674i | ||||
\(290\) | −15.7753 | + | 7.36369i | −0.926358 | + | 0.432411i | ||||
\(291\) | −2.77503 | − | 10.3566i | −0.162675 | − | 0.607112i | ||||
\(292\) | 4.32990 | + | 16.1594i | 0.253388 | + | 0.945657i | ||||
\(293\) | 14.8251 | − | 3.97236i | 0.866090 | − | 0.232068i | 0.201694 | − | 0.979449i | \(-0.435356\pi\) |
0.664396 | + | 0.747381i | \(0.268689\pi\) | |||||||
\(294\) | 35.7994 | + | 9.59242i | 2.08786 | + | 0.559441i | ||||
\(295\) | 9.96568 | − | 4.65184i | 0.580224 | − | 0.270840i | ||||
\(296\) | 14.1628 | + | 23.8426i | 0.823195 | + | 1.38582i | ||||
\(297\) | 4.87034 | − | 4.87034i | 0.282606 | − | 0.282606i | ||||
\(298\) | −5.48072 | − | 9.49289i | −0.317490 | − | 0.549908i | ||||
\(299\) | −0.630188 | + | 1.09152i | −0.0364447 | + | 0.0631240i | ||||
\(300\) | 18.5617 | − | 39.8874i | 1.07166 | − | 2.30290i | ||||
\(301\) | −3.58350 | + | 0.960195i | −0.206549 | + | 0.0553447i | ||||
\(302\) | 20.5545 | 1.18278 | ||||||||
\(303\) | 17.1445 | − | 4.59385i | 0.984925 | − | 0.263910i | ||||
\(304\) | 14.5017 | − | 14.5017i | 0.831729 | − | 0.831729i | ||||
\(305\) | −24.9845 | − | 17.4797i | −1.43061 | − | 1.00089i | ||||
\(306\) | 26.7912 | 1.53155 | ||||||||
\(307\) | 12.4311 | + | 12.4311i | 0.709480 | + | 0.709480i | 0.966426 | − | 0.256946i | \(-0.0827161\pi\) |
−0.256946 | + | 0.966426i | \(0.582716\pi\) | |||||||
\(308\) | −1.81415 | + | 6.77051i | −0.103371 | + | 0.385785i | ||||
\(309\) | 2.41559 | + | 9.01510i | 0.137418 | + | 0.512851i | ||||
\(310\) | −17.4596 | − | 37.4038i | −0.991636 | − | 2.12439i | ||||
\(311\) | −14.7974 | − | 3.96496i | −0.839085 | − | 0.224832i | −0.186412 | − | 0.982472i | \(-0.559686\pi\) |
−0.652673 | + | 0.757639i | \(0.726353\pi\) | |||||||
\(312\) | −37.1817 | − | 9.96279i | −2.10500 | − | 0.564032i | ||||
\(313\) | 7.67727 | − | 4.43247i | 0.433945 | − | 0.250538i | −0.267081 | − | 0.963674i | \(-0.586059\pi\) |
0.701026 | + | 0.713136i | \(0.252726\pi\) | |||||||
\(314\) | −15.1734 | + | 4.06570i | −0.856285 | + | 0.229441i | ||||
\(315\) | −2.43415 | − | 0.211997i | −0.137149 | − | 0.0119447i | ||||
\(316\) | −4.47659 | − | 1.19950i | −0.251828 | − | 0.0674771i | ||||
\(317\) | −4.48626 | + | 16.7429i | −0.251973 | + | 0.940377i | 0.717776 | + | 0.696274i | \(0.245160\pi\) |
−0.969749 | + | 0.244103i | \(0.921506\pi\) | |||||||
\(318\) | −56.3872 | + | 32.5551i | −3.16204 | + | 1.82560i | ||||
\(319\) | 8.04149 | − | 8.04149i | 0.450237 | − | 0.450237i | ||||
\(320\) | −15.9684 | + | 13.4098i | −0.892660 | + | 0.749628i | ||||
\(321\) | 31.3354 | − | 18.0915i | 1.74897 | − | 1.00977i | ||||
\(322\) | −0.296034 | + | 0.296034i | −0.0164974 | + | 0.0164974i | ||||
\(323\) | 22.6952 | − | 22.6952i | 1.26280 | − | 1.26280i | ||||
\(324\) | 21.0248 | + | 36.4160i | 1.16805 | + | 2.02311i | ||||
\(325\) | −11.9550 | + | 14.2702i | −0.663146 | + | 0.791569i | ||||
\(326\) | 22.8500 | + | 13.1924i | 1.26554 | + | 0.730661i | ||||
\(327\) | 20.0687i | 1.10980i | ||||||||
\(328\) | 9.70276 | − | 16.8057i | 0.535745 | − | 0.927938i | ||||
\(329\) | −3.17694 | − | 1.83421i | −0.175150 | − | 0.101123i | ||||
\(330\) | −3.77880 | + | 43.3882i | −0.208016 | + | 2.38844i | ||||
\(331\) | 5.45207 | − | 20.3474i | 0.299673 | − | 1.11839i | −0.637762 | − | 0.770234i | \(-0.720140\pi\) |
0.937435 | − | 0.348161i | \(-0.113194\pi\) | |||||||
\(332\) | −31.4043 | − | 31.4043i | −1.72353 | − | 1.72353i | ||||
\(333\) | 6.37561 | − | 11.3662i | 0.349381 | − | 0.622865i | ||||
\(334\) | 0.166340i | 0.00910170i | ||||||||
\(335\) | 8.64083 | − | 12.3507i | 0.472099 | − | 0.674791i | ||||
\(336\) | −3.30040 | − | 1.90549i | −0.180052 | − | 0.103953i | ||||
\(337\) | 31.0294 | − | 8.31429i | 1.69028 | − | 0.452908i | 0.719816 | − | 0.694165i | \(-0.244226\pi\) |
0.970461 | + | 0.241257i | \(0.0775596\pi\) | |||||||
\(338\) | 1.81124 | + | 1.04572i | 0.0985186 | + | 0.0568797i | ||||
\(339\) | −6.39473 | + | 6.39473i | −0.347314 | + | 0.347314i | ||||
\(340\) | 34.2627 | − | 28.7727i | 1.85815 | − | 1.56042i | ||||
\(341\) | 19.0666 | + | 19.0666i | 1.03252 | + | 1.03252i | ||||
\(342\) | −31.2338 | − | 8.36906i | −1.68893 | − | 0.452547i | ||||
\(343\) | −4.95511 | − | 4.95511i | −0.267551 | − | 0.267551i | ||||
\(344\) | −33.1632 | −1.78804 | ||||||||
\(345\) | −0.984007 | + | 1.40648i | −0.0529772 | + | 0.0757225i | ||||
\(346\) | 14.0127 | − | 3.75470i | 0.753329 | − | 0.201854i | ||||
\(347\) | − | 3.43520i | − | 0.184411i | −0.995740 | − | 0.0922055i | \(-0.970608\pi\) | ||
0.995740 | − | 0.0922055i | \(-0.0293917\pi\) | |||||||
\(348\) | 14.1255 | + | 24.4662i | 0.757209 | + | 1.31152i | ||||
\(349\) | 2.54502 | − | 1.46937i | 0.136232 | − | 0.0786533i | −0.430335 | − | 0.902669i | \(-0.641605\pi\) |
0.566567 | + | 0.824016i | \(0.308271\pi\) | |||||||
\(350\) | −5.06260 | + | 3.55080i | −0.270607 | + | 0.189798i | ||||
\(351\) | −1.87389 | − | 6.99345i | −0.100021 | − | 0.373283i | ||||
\(352\) | 1.99763 | − | 3.46000i | 0.106474 | − | 0.184419i | ||||
\(353\) | 1.46544 | + | 2.53821i | 0.0779974 | + | 0.135095i | 0.902386 | − | 0.430929i | \(-0.141814\pi\) |
−0.824388 | + | 0.566025i | \(0.808481\pi\) | |||||||
\(354\) | −13.5231 | − | 23.4226i | −0.718743 | − | 1.24490i | ||||
\(355\) | 3.62616 | + | 20.5178i | 0.192457 | + | 1.08897i | ||||
\(356\) | −34.3209 | − | 34.3209i | −1.81900 | − | 1.81900i | ||||
\(357\) | −5.16515 | − | 2.98210i | −0.273369 | − | 0.157829i | ||||
\(358\) | 38.7926 | + | 10.3944i | 2.05025 | + | 0.549364i | ||||
\(359\) | 33.4016i | 1.76287i | 0.472306 | + | 0.881435i | \(0.343422\pi\) | ||||
−0.472306 | + | 0.881435i | \(0.656578\pi\) | |||||||
\(360\) | −20.5272 | − | 7.46215i | −1.08188 | − | 0.393290i | ||||
\(361\) | −17.0937 | + | 9.86904i | −0.899667 | + | 0.519423i | ||||
\(362\) | 35.7702i | 1.88004i | ||||||||
\(363\) | −0.907216 | − | 3.38578i | −0.0476165 | − | 0.177707i | ||||
\(364\) | 5.20997 | + | 5.20997i | 0.273077 | + | 0.273077i | ||||
\(365\) | 0.836495 | − | 9.60463i | 0.0437841 | − | 0.502729i | ||||
\(366\) | −37.4931 | + | 64.9399i | −1.95980 | + | 3.39447i | ||||
\(367\) | −1.84441 | − | 6.88341i | −0.0962772 | − | 0.359311i | 0.900933 | − | 0.433959i | \(-0.142884\pi\) |
−0.997210 | + | 0.0746473i | \(0.976217\pi\) | |||||||
\(368\) | −0.965994 | + | 0.557717i | −0.0503559 | + | 0.0290730i | ||||
\(369\) | −9.11939 | −0.474737 | ||||||||
\(370\) | −6.14252 | − | 32.4051i | −0.319334 | − | 1.68466i | ||||
\(371\) | 6.03886 | 0.313522 | ||||||||
\(372\) | −58.0101 | + | 33.4921i | −3.00768 | + | 1.73649i | ||||
\(373\) | −8.66861 | − | 32.3517i | −0.448843 | − | 1.67511i | −0.705584 | − | 0.708626i | \(-0.749315\pi\) |
0.256741 | − | 0.966480i | \(-0.417351\pi\) | |||||||
\(374\) | −22.1458 | + | 38.3576i | −1.14513 | + | 1.98343i | ||||
\(375\) | −17.9066 | + | 17.9489i | −0.924695 | + | 0.926877i | ||||
\(376\) | −23.1876 | − | 23.1876i | −1.19581 | − | 1.19581i | ||||
\(377\) | −3.09400 | − | 11.5470i | −0.159349 | − | 0.594699i | ||||
\(378\) | − | 2.40494i | − | 0.123697i | ||||||
\(379\) | 0.843406 | − | 0.486941i | 0.0433229 | − | 0.0250125i | −0.478182 | − | 0.878261i | \(-0.658704\pi\) |
0.521505 | + | 0.853248i | \(0.325371\pi\) | |||||||
\(380\) | −48.9322 | + | 22.8409i | −2.51017 | + | 1.17171i | ||||
\(381\) | − | 25.2800i | − | 1.29513i | ||||||
\(382\) | −16.9162 | − | 4.53268i | −0.865507 | − | 0.231912i | ||||
\(383\) | −26.3897 | − | 15.2361i | −1.34845 | − | 0.778527i | −0.360419 | − | 0.932790i | \(-0.617366\pi\) |
−0.988030 | + | 0.154263i | \(0.950700\pi\) | |||||||
\(384\) | 32.6427 | + | 32.6427i | 1.66579 | + | 1.66579i | ||||
\(385\) | 2.31561 | − | 3.30980i | 0.118014 | − | 0.168683i | ||||
\(386\) | 19.5027 | + | 33.7796i | 0.992660 | + | 1.71934i | ||||
\(387\) | 7.79232 | + | 13.4967i | 0.396106 | + | 0.686075i | ||||
\(388\) | −9.17275 | + | 15.8877i | −0.465676 | + | 0.806574i | ||||
\(389\) | 0.145105 | + | 0.541538i | 0.00735710 | + | 0.0274571i | 0.969507 | − | 0.245064i | \(-0.0788091\pi\) |
−0.962150 | + | 0.272521i | \(0.912142\pi\) | |||||||
\(390\) | 37.5119 | + | 26.2442i | 1.89949 | + | 1.32892i | ||||
\(391\) | −1.51179 | + | 0.872830i | −0.0764543 | + | 0.0441409i | ||||
\(392\) | −15.3638 | − | 26.6110i | −0.775991 | − | 1.34406i | ||||
\(393\) | − | 9.36032i | − | 0.472166i | ||||||
\(394\) | −3.09175 | + | 0.828432i | −0.155760 | + | 0.0417358i | ||||
\(395\) | 2.18841 | + | 1.53106i | 0.110111 | + | 0.0770359i | ||||
\(396\) | 29.4449 | 1.47966 | ||||||||
\(397\) | −12.8419 | − | 12.8419i | −0.644519 | − | 0.644519i | 0.307144 | − | 0.951663i | \(-0.400627\pi\) |
−0.951663 | + | 0.307144i | \(0.900627\pi\) | |||||||
\(398\) | −22.9692 | − | 6.15458i | −1.15134 | − | 0.308501i | ||||
\(399\) | 5.09009 | + | 5.09009i | 0.254823 | + | 0.254823i | ||||
\(400\) | −15.4773 | + | 5.64706i | −0.773867 | + | 0.282353i | ||||
\(401\) | 19.2588 | − | 19.2588i | 0.961739 | − | 0.961739i | −0.0375556 | − | 0.999295i | \(-0.511957\pi\) |
0.999295 | + | 0.0375556i | \(0.0119571\pi\) | |||||||
\(402\) | −32.1021 | − | 18.5341i | −1.60111 | − | 0.924399i | ||||
\(403\) | 27.3782 | − | 7.33598i | 1.36381 | − | 0.365431i | ||||
\(404\) | −26.3008 | − | 15.1848i | −1.30852 | − | 0.755472i | ||||
\(405\) | −4.21734 | − | 23.8629i | −0.209562 | − | 1.18576i | ||||
\(406\) | − | 3.97083i | − | 0.197069i | ||||||
\(407\) | 11.0032 | + | 18.5235i | 0.545408 | + | 0.918177i | ||||
\(408\) | −37.6990 | − | 37.6990i | −1.86638 | − | 1.86638i | ||||
\(409\) | −4.51734 | + | 16.8590i | −0.223368 | + | 0.833622i | 0.759683 | + | 0.650293i | \(0.225354\pi\) |
−0.983052 | + | 0.183329i | \(0.941313\pi\) | |||||||
\(410\) | −17.6741 | + | 14.8421i | −0.872860 | + | 0.733001i | ||||
\(411\) | −30.3600 | − | 17.5283i | −1.49755 | − | 0.864609i | ||||
\(412\) | 7.98463 | − | 13.8298i | 0.393375 | − | 0.681345i | ||||
\(413\) | 2.50848i | 0.123434i | ||||||||
\(414\) | 1.52307 | + | 0.879348i | 0.0748550 | + | 0.0432176i | ||||
\(415\) | 10.8257 | + | 23.1921i | 0.531415 | + | 1.13846i | ||||
\(416\) | −2.09985 | − | 3.63705i | −0.102954 | − | 0.178321i | ||||
\(417\) | 12.3565 | − | 12.3565i | 0.605099 | − | 0.605099i | ||||
\(418\) | 37.8002 | − | 37.8002i | 1.84887 | − | 1.84887i | ||||
\(419\) | 28.8474 | − | 16.6550i | 1.40929 | − | 0.813652i | 0.413967 | − | 0.910292i | \(-0.364143\pi\) |
0.995319 | + | 0.0966398i | \(0.0308095\pi\) | |||||||
\(420\) | 6.45316 | + | 7.68444i | 0.314882 | + | 0.374962i | ||||
\(421\) | −22.7419 | + | 22.7419i | −1.10837 | + | 1.10837i | −0.115006 | + | 0.993365i | \(0.536689\pi\) |
−0.993365 | + | 0.115006i | \(0.963311\pi\) | |||||||
\(422\) | 42.1741 | − | 24.3493i | 2.05301 | − | 1.18530i | ||||
\(423\) | −3.98848 | + | 14.8852i | −0.193927 | + | 0.723744i | ||||
\(424\) | 52.1425 | + | 13.9715i | 2.53226 | + | 0.678517i | ||||
\(425\) | −24.2221 | + | 8.83769i | −1.17495 | + | 0.428691i | ||||
\(426\) | 49.4936 | − | 13.2618i | 2.39797 | − | 0.642534i | ||||
\(427\) | 6.02306 | − | 3.47742i | 0.291476 | − | 0.168284i | ||||
\(428\) | −59.8007 | − | 16.0235i | −2.89057 | − | 0.774527i | ||||
\(429\) | −28.8867 | − | 7.74018i | −1.39467 | − | 0.373699i | ||||
\(430\) | 37.0684 | + | 13.4753i | 1.78760 | + | 0.649837i | ||||
\(431\) | 1.81621 | + | 6.77820i | 0.0874840 | + | 0.326495i | 0.995773 | − | 0.0918486i | \(-0.0292776\pi\) |
−0.908289 | + | 0.418343i | \(0.862611\pi\) | |||||||
\(432\) | 1.65839 | − | 6.18921i | 0.0797895 | − | 0.297779i | ||||
\(433\) | −25.1107 | − | 25.1107i | −1.20674 | − | 1.20674i | −0.972076 | − | 0.234667i | \(-0.924600\pi\) |
−0.234667 | − | 0.972076i | \(-0.575400\pi\) | |||||||
\(434\) | 9.41498 | 0.451933 | ||||||||
\(435\) | −2.83343 | − | 16.0323i | −0.135852 | − | 0.768692i | ||||
\(436\) | 24.2807 | − | 24.2807i | 1.16284 | − | 1.16284i | ||||
\(437\) | 2.03513 | − | 0.545311i | 0.0973534 | − | 0.0260858i | ||||
\(438\) | −23.7092 | −1.13287 | ||||||||
\(439\) | 29.9057 | − | 8.01322i | 1.42732 | − | 0.382450i | 0.539247 | − | 0.842148i | \(-0.318709\pi\) |
0.888076 | + | 0.459698i | \(0.152042\pi\) | |||||||
\(440\) | 27.6516 | − | 23.2210i | 1.31824 | − | 1.10702i | ||||
\(441\) | −7.22006 | + | 12.5055i | −0.343812 | + | 0.595500i | ||||
\(442\) | 23.2790 | + | 40.3204i | 1.10727 | + | 1.91785i | ||||
\(443\) | 0.346705 | − | 0.346705i | 0.0164725 | − | 0.0164725i | −0.698823 | − | 0.715295i | \(-0.746292\pi\) |
0.715295 | + | 0.698823i | \(0.246292\pi\) | |||||||
\(444\) | −51.5224 | + | 14.4928i | −2.44515 | + | 0.687797i | ||||
\(445\) | 11.8312 | + | 25.3460i | 0.560851 | + | 1.20152i | ||||
\(446\) | 24.4599 | + | 6.55402i | 1.15821 | + | 0.310342i | ||||
\(447\) | 9.90160 | − | 2.65313i | 0.468329 | − | 0.125489i | ||||
\(448\) | −1.23097 | − | 4.59403i | −0.0581577 | − | 0.217048i | ||||
\(449\) | −0.545210 | − | 2.03475i | −0.0257301 | − | 0.0960259i | 0.951867 | − | 0.306512i | \(-0.0991620\pi\) |
−0.977597 | + | 0.210486i | \(0.932495\pi\) | |||||||
\(450\) | 19.9123 | + | 16.6818i | 0.938675 | + | 0.786386i | ||||
\(451\) | 7.53816 | − | 13.0565i | 0.354958 | − | 0.614805i | ||||
\(452\) | 15.4737 | 0.727824 | ||||||||
\(453\) | −4.97503 | + | 18.5671i | −0.233747 | + | 0.872357i | ||||
\(454\) | − | 34.0546i | − | 1.59826i | ||||||
\(455\) | −1.79599 | − | 3.84757i | −0.0841974 | − | 0.180377i | ||||
\(456\) | 32.1739 | + | 55.7268i | 1.50668 | + | 2.60965i | ||||
\(457\) | −15.6850 | + | 27.1673i | −0.733715 | + | 1.27083i | 0.221570 | + | 0.975144i | \(0.428882\pi\) |
−0.955285 | + | 0.295687i | \(0.904452\pi\) | |||||||
\(458\) | −13.6483 | −0.637745 | ||||||||
\(459\) | 2.59540 | − | 9.68615i | 0.121143 | − | 0.452111i | ||||
\(460\) | 2.89221 | − | 0.511147i | 0.134850 | − | 0.0238323i | ||||
\(461\) | −8.90787 | + | 33.2446i | −0.414881 | + | 1.54836i | 0.370194 | + | 0.928955i | \(0.379291\pi\) |
−0.785075 | + | 0.619401i | \(0.787375\pi\) | |||||||
\(462\) | −8.60286 | − | 4.96686i | −0.400241 | − | 0.231079i | ||||
\(463\) | −11.9951 | − | 6.92538i | −0.557460 | − | 0.321850i | 0.194665 | − | 0.980870i | \(-0.437638\pi\) |
−0.752125 | + | 0.659020i | \(0.770971\pi\) | |||||||
\(464\) | 2.73820 | − | 10.2191i | 0.127118 | − | 0.474409i | ||||
\(465\) | 38.0132 | − | 6.71815i | 1.76282 | − | 0.311547i | ||||
\(466\) | −0.589180 | + | 2.19885i | −0.0272932 | + | 0.101860i | ||||
\(467\) | −12.9629 | −0.599850 | −0.299925 | − | 0.953963i | \(-0.596962\pi\) | ||||
−0.299925 | + | 0.953963i | \(0.596962\pi\) | |||||||
\(468\) | 15.4758 | − | 26.8049i | 0.715370 | − | 1.23906i | ||||
\(469\) | 1.71901 | + | 2.97741i | 0.0793764 | + | 0.137484i | ||||
\(470\) | 16.4962 | + | 35.3400i | 0.760914 | + | 1.63011i | ||||
\(471\) | − | 14.6904i | − | 0.676897i | ||||||
\(472\) | −5.80363 | + | 21.6594i | −0.267134 | + | 0.996956i | ||||
\(473\) | −25.7647 | −1.18466 | ||||||||
\(474\) | 3.28404 | − | 5.68813i | 0.150841 | − | 0.261264i | ||||
\(475\) | 30.9994 | − | 2.73664i | 1.42235 | − | 0.125566i | ||||
\(476\) | 2.64123 | + | 9.85721i | 0.121061 | + | 0.451805i | ||||
\(477\) | −6.56575 | − | 24.5037i | −0.300625 | − | 1.12195i | ||||
\(478\) | −39.3814 | + | 10.5522i | −1.80126 | + | 0.482647i | ||||
\(479\) | −20.7631 | − | 5.56346i | −0.948691 | − | 0.254201i | −0.248884 | − | 0.968533i | \(-0.580064\pi\) |
−0.699807 | + | 0.714332i | \(0.746731\pi\) | |||||||
\(480\) | −2.41927 | − | 5.18281i | −0.110424 | − | 0.236562i | ||||
\(481\) | 22.6458 | − | 0.280954i | 1.03256 | − | 0.0128104i | ||||
\(482\) | −31.5086 | + | 31.5086i | −1.43518 | + | 1.43518i | ||||
\(483\) | −0.195759 | − | 0.339064i | −0.00890733 | − | 0.0154279i | ||||
\(484\) | −2.99877 | + | 5.19401i | −0.136308 | + | 0.236092i | ||||
\(485\) | 8.09619 | − | 6.79893i | 0.367629 | − | 0.308723i | ||||
\(486\) | −43.8984 | + | 11.7626i | −1.99127 | + | 0.533560i | ||||
\(487\) | −11.9469 | −0.541367 | −0.270684 | − | 0.962668i | \(-0.587250\pi\) | ||||
−0.270684 | + | 0.962668i | \(0.587250\pi\) | |||||||
\(488\) | 60.0514 | − | 16.0907i | 2.71840 | − | 0.728393i | ||||
\(489\) | −17.4475 | + | 17.4475i | −0.789004 | + | 0.789004i | ||||
\(490\) | 6.36014 | + | 35.9875i | 0.287322 | + | 1.62575i | ||||
\(491\) | 14.8679 | 0.670980 | 0.335490 | − | 0.942044i | \(-0.391098\pi\) | ||||
0.335490 | + | 0.942044i | \(0.391098\pi\) | |||||||
\(492\) | 26.4828 | + | 26.4828i | 1.19394 | + | 1.19394i | ||||
\(493\) | 4.28529 | − | 15.9929i | 0.193000 | − | 0.720286i | ||||
\(494\) | −14.5438 | − | 54.2783i | −0.654358 | − | 2.44210i | ||||
\(495\) | −15.9477 | − | 5.79741i | −0.716797 | − | 0.260574i | ||||
\(496\) | 24.2298 | + | 6.49235i | 1.08795 | + | 0.291515i | ||||
\(497\) | −4.59044 | − | 1.23000i | −0.205909 | − | 0.0551732i | ||||
\(498\) | 54.5091 | − | 31.4709i | 2.44261 | − | 1.41024i | ||||
\(499\) | 7.92150 | − | 2.12256i | 0.354615 | − | 0.0950188i | −0.0771137 | − | 0.997022i | \(-0.524570\pi\) |
0.431729 | + | 0.902003i | \(0.357904\pi\) | |||||||
\(500\) | 43.3810 | − | 0.0511234i | 1.94006 | − | 0.00228631i | ||||
\(501\) | −0.150256 | − | 0.0402611i | −0.00671296 | − | 0.00179873i | ||||
\(502\) | −5.21828 | + | 19.4749i | −0.232903 | + | 0.869207i | ||||
\(503\) | −9.43924 | + | 5.44975i | −0.420875 | + | 0.242992i | −0.695452 | − | 0.718573i | \(-0.744796\pi\) |
0.274577 | + | 0.961565i | \(0.411462\pi\) | |||||||
\(504\) | 3.52262 | − | 3.52262i | 0.156910 | − | 0.156910i | ||||
\(505\) | 11.2551 | + | 13.4026i | 0.500846 | + | 0.596409i | ||||
\(506\) | −2.51797 | + | 1.45375i | −0.111937 | + | 0.0646271i | ||||
\(507\) | −1.38301 | + | 1.38301i | −0.0614215 | + | 0.0614215i | ||||
\(508\) | −30.5858 | + | 30.5858i | −1.35703 | + | 1.35703i | ||||
\(509\) | 18.1888 | + | 31.5039i | 0.806204 | + | 1.39639i | 0.915475 | + | 0.402374i | \(0.131815\pi\) |
−0.109272 | + | 0.994012i | \(0.534852\pi\) | |||||||
\(510\) | 26.8200 | + | 57.4568i | 1.18761 | + | 2.54423i | ||||
\(511\) | 1.90437 | + | 1.09949i | 0.0842445 | + | 0.0486386i | ||||
\(512\) | − | 33.7617i | − | 1.49207i | ||||||
\(513\) | −6.05154 | + | 10.4816i | −0.267182 | + | 0.462773i | ||||
\(514\) | −31.4602 | − | 18.1636i | −1.38765 | − | 0.801160i | ||||
\(515\) | −7.04751 | + | 5.91828i | −0.310551 | + | 0.260791i | ||||
\(516\) | 16.5655 | − | 61.8235i | 0.729257 | − | 2.72163i | ||||
\(517\) | −18.0146 | − | 18.0146i | −0.792283 | − | 0.792283i | ||||
\(518\) | 7.29005 | + | 1.85675i | 0.320306 | + | 0.0815808i | ||||
\(519\) | 13.5667i | 0.595510i | ||||||||
\(520\) | −6.60572 | − | 37.3770i | −0.289680 | − | 1.63909i | ||||
\(521\) | −8.37998 | − | 4.83818i | −0.367134 | − | 0.211965i | 0.305072 | − | 0.952329i | \(-0.401320\pi\) |
−0.672205 | + | 0.740365i | \(0.734653\pi\) | |||||||
\(522\) | −16.1124 | + | 4.31729i | −0.705218 | + | 0.188963i | ||||
\(523\) | 38.2833 | + | 22.1028i | 1.67401 | + | 0.966490i | 0.965357 | + | 0.260933i | \(0.0840302\pi\) |
0.708653 | + | 0.705557i | \(0.249303\pi\) | |||||||
\(524\) | −11.3249 | + | 11.3249i | −0.494730 | + | 0.494730i | ||||
\(525\) | −1.98212 | − | 5.43254i | −0.0865068 | − | 0.237096i | ||||
\(526\) | −24.1104 | − | 24.1104i | −1.05126 | − | 1.05126i | ||||
\(527\) | 37.9198 | + | 10.1606i | 1.65181 | + | 0.442601i | ||||
\(528\) | −18.7147 | − | 18.7147i | −0.814455 | − | 0.814455i | ||||
\(529\) | 22.8854 | 0.995018 | ||||||||
\(530\) | −52.6056 | − | 36.8040i | −2.28504 | − | 1.59867i | ||||
\(531\) | 10.1786 | − | 2.72735i | 0.441713 | − | 0.118357i | ||||
\(532\) | − | 12.3168i | − | 0.534002i | ||||||
\(533\) | −7.92389 | − | 13.7246i | −0.343222 | − | 0.594477i | ||||
\(534\) | 59.5716 | − | 34.3937i | 2.57791 | − | 1.48836i | ||||
\(535\) | 29.2339 | + | 20.4527i | 1.26389 | + | 0.884246i | ||||
\(536\) | 7.95420 | + | 29.6855i | 0.343569 | + | 1.28222i | ||||
\(537\) | −18.7788 | + | 32.5259i | −0.810367 | + | 1.40360i | ||||
\(538\) | 1.27210 | + | 2.20334i | 0.0548441 | + | 0.0949927i | ||||
\(539\) | −11.9363 | − | 20.6743i | −0.514133 | − | 0.890505i | ||||
\(540\) | −9.67173 | + | 13.8242i | −0.416205 | + | 0.594900i | ||||
\(541\) | 0.733586 | + | 0.733586i | 0.0315393 | + | 0.0315393i | 0.722701 | − | 0.691161i | \(-0.242901\pi\) |
−0.691161 | + | 0.722701i | \(0.742901\pi\) | |||||||
\(542\) | −27.6094 | − | 15.9403i | −1.18592 | − | 0.684694i | ||||
\(543\) | −32.3116 | − | 8.65788i | −1.38663 | − | 0.371545i | ||||
\(544\) | − | 5.81673i | − | 0.249390i | ||||||
\(545\) | −17.9314 | + | 8.37011i | −0.768095 | + | 0.358536i | ||||
\(546\) | −9.04307 | + | 5.22102i | −0.387008 | + | 0.223439i | ||||
\(547\) | − | 11.8157i | − | 0.505204i | −0.967570 | − | 0.252602i | \(-0.918714\pi\) | ||
0.967570 | − | 0.252602i | \(-0.0812864\pi\) | |||||||
\(548\) | 15.5248 | + | 57.9392i | 0.663185 | + | 2.47504i | ||||
\(549\) | −20.6588 | − | 20.6588i | −0.881696 | − | 0.881696i | ||||
\(550\) | −40.3434 | + | 14.7197i | −1.72025 | + | 0.627650i | ||||
\(551\) | −9.99178 | + | 17.3063i | −0.425664 | + | 0.737272i | ||||
\(552\) | −0.905815 | − | 3.38055i | −0.0385541 | − | 0.143886i | ||||
\(553\) | −0.527563 | + | 0.304589i | −0.0224343 | + | 0.0129524i | ||||
\(554\) | 38.8408 | 1.65019 | ||||||||
\(555\) | 30.7586 | + | 2.29477i | 1.30563 | + | 0.0974077i | ||||
\(556\) | −29.8997 | −1.26803 | ||||||||
\(557\) | 5.59913 | − | 3.23266i | 0.237243 | − | 0.136972i | −0.376666 | − | 0.926349i | \(-0.622930\pi\) |
0.613909 | + | 0.789377i | \(0.289596\pi\) | |||||||
\(558\) | −10.2364 | − | 38.2029i | −0.433343 | − | 1.61726i | ||||
\(559\) | −13.5416 | + | 23.4547i | −0.572747 | + | 0.992027i | ||||
\(560\) | 0.326044 | − | 3.74364i | 0.0137779 | − | 0.158198i | ||||
\(561\) | −29.2887 | − | 29.2887i | −1.23657 | − | 1.23657i | ||||
\(562\) | −2.59990 | − | 9.70295i | −0.109670 | − | 0.409294i | ||||
\(563\) | − | 1.58134i | − | 0.0666457i | −0.999445 | − | 0.0333229i | \(-0.989391\pi\) | ||
0.999445 | − | 0.0333229i | \(-0.0106090\pi\) | |||||||
\(564\) | 54.8094 | − | 31.6442i | 2.30789 | − | 1.33246i | ||||
\(565\) | −8.38076 | − | 3.04662i | −0.352581 | − | 0.128172i | ||||
\(566\) | 49.4871i | 2.08010i | ||||||||
\(567\) | 5.33883 | + | 1.43054i | 0.224210 | + | 0.0600769i | ||||
\(568\) | −36.7903 | − | 21.2409i | −1.54369 | − | 0.891248i | ||||
\(569\) | −16.2660 | − | 16.2660i | −0.681906 | − | 0.681906i | 0.278524 | − | 0.960429i | \(-0.410155\pi\) |
−0.960429 | + | 0.278524i | \(0.910155\pi\) | |||||||
\(570\) | −13.3190 | − | 75.3624i | −0.557870 | − | 3.15659i | ||||
\(571\) | 9.98899 | + | 17.3014i | 0.418026 | + | 0.724043i | 0.995741 | − | 0.0921960i | \(-0.0293886\pi\) |
−0.577715 | + | 0.816239i | \(0.696055\pi\) | |||||||
\(572\) | 25.5849 | + | 44.3143i | 1.06976 | + | 1.85287i | ||||
\(573\) | 8.18884 | − | 14.1835i | 0.342094 | − | 0.592524i | ||||
\(574\) | −1.36245 | − | 5.08475i | −0.0568677 | − | 0.212233i | ||||
\(575\) | −1.66710 | − | 0.292604i | −0.0695227 | − | 0.0122024i | ||||
\(576\) | −17.3027 | + | 9.98973i | −0.720946 | + | 0.416239i | ||||
\(577\) | 1.76615 | + | 3.05906i | 0.0735258 | + | 0.127350i | 0.900444 | − | 0.434971i | \(-0.143242\pi\) |
−0.826918 | + | 0.562322i | \(0.809908\pi\) | |||||||
\(578\) | 23.2611i | 0.967535i | ||||||||
\(579\) | −35.2340 | + | 9.44091i | −1.46427 | + | 0.392351i | ||||
\(580\) | −15.9691 | + | 22.8253i | −0.663082 | + | 0.947771i | ||||
\(581\) | −5.83773 | −0.242190 | ||||||||
\(582\) | −18.3844 | − | 18.3844i | −0.762058 | − | 0.762058i | ||||
\(583\) | 40.5099 | + | 10.8546i | 1.67775 | + | 0.449552i | ||||
\(584\) | 13.8995 | + | 13.8995i | 0.575165 | + | 0.575165i | ||||
\(585\) | −13.6595 | + | 11.4708i | −0.564751 | + | 0.474260i | ||||
\(586\) | 26.3167 | − | 26.3167i | 1.08713 | − | 1.08713i | ||||
\(587\) | −2.48280 | − | 1.43345i | −0.102476 | − | 0.0591647i | 0.447886 | − | 0.894091i | \(-0.352177\pi\) |
−0.550362 | + | 0.834926i | \(0.685510\pi\) | |||||||
\(588\) | 57.2832 | − | 15.3490i | 2.36232 | − | 0.632982i | ||||
\(589\) | −41.0337 | − | 23.6908i | −1.69077 | − | 0.976164i | ||||
\(590\) | 15.2880 | − | 21.8518i | 0.629398 | − | 0.899625i | ||||
\(591\) | − | 2.99333i | − | 0.123129i | ||||||
\(592\) | 17.4808 | + | 9.80546i | 0.718458 | + | 0.403002i | ||||
\(593\) | 29.6868 | + | 29.6868i | 1.21909 | + | 1.21909i | 0.967951 | + | 0.251137i | \(0.0808046\pi\) |
0.251137 | + | 0.967951i | \(0.419195\pi\) | |||||||
\(594\) | 4.32279 | − | 16.1329i | 0.177366 | − | 0.661939i | ||||
\(595\) | 0.510261 | − | 5.85881i | 0.0209187 | − | 0.240188i | ||||
\(596\) | −15.1897 | − | 8.76980i | −0.622196 | − | 0.359225i | ||||
\(597\) | 11.1190 | − | 19.2587i | 0.455071 | − | 0.788206i | ||||
\(598\) | 3.05628i | 0.124980i | ||||||||
\(599\) | 11.0786 | + | 6.39622i | 0.452658 | + | 0.261342i | 0.708952 | − | 0.705256i | \(-0.249168\pi\) |
−0.256294 | + | 0.966599i | \(0.582501\pi\) | |||||||
\(600\) | −4.54583 | − | 51.4930i | −0.185583 | − | 2.10219i | ||||
\(601\) | 24.2575 | + | 42.0153i | 0.989486 | + | 1.71384i | 0.619997 | + | 0.784604i | \(0.287134\pi\) |
0.369488 | + | 0.929235i | \(0.379533\pi\) | |||||||
\(602\) | −6.36123 | + | 6.36123i | −0.259264 | + | 0.259264i | ||||
\(603\) | 10.2124 | − | 10.2124i | 0.415880 | − | 0.415880i | ||||
\(604\) | 28.4832 | − | 16.4448i | 1.15896 | − | 0.669128i | ||||
\(605\) | 2.64681 | − | 2.22271i | 0.107608 | − | 0.0903662i | ||||
\(606\) | 30.4340 | − | 30.4340i | 1.23630 | − | 1.23630i | ||||
\(607\) | −2.64364 | + | 1.52631i | −0.107302 | + | 0.0619509i | −0.552691 | − | 0.833386i | \(-0.686399\pi\) |
0.445389 | + | 0.895337i | \(0.353066\pi\) | |||||||
\(608\) | −1.81703 | + | 6.78127i | −0.0736905 | + | 0.275017i | ||||
\(609\) | 3.58690 | + | 0.961107i | 0.145349 | + | 0.0389460i | ||||
\(610\) | −73.6612 | − | 6.41536i | −2.98245 | − | 0.259750i | ||||
\(611\) | −25.8677 | + | 6.93122i | −1.04649 | + | 0.280407i | ||||
\(612\) | 37.1257 | − | 21.4345i | 1.50072 | − | 0.866439i | ||||
\(613\) | 26.2765 | + | 7.04077i | 1.06130 | + | 0.284374i | 0.746913 | − | 0.664922i | \(-0.231535\pi\) |
0.314385 | + | 0.949296i | \(0.398202\pi\) | |||||||
\(614\) | 41.1776 | + | 11.0335i | 1.66179 | + | 0.445276i | ||||
\(615\) | −9.12921 | − | 19.5576i | −0.368125 | − | 0.788638i | ||||
\(616\) | 2.13160 | + | 7.95525i | 0.0858848 | + | 0.320526i | ||||
\(617\) | −8.29972 | + | 30.9750i | −0.334134 | + | 1.24701i | 0.570671 | + | 0.821179i | \(0.306683\pi\) |
−0.904805 | + | 0.425827i | \(0.859983\pi\) | |||||||
\(618\) | 16.0031 | + | 16.0031i | 0.643740 | + | 0.643740i | ||||
\(619\) | −48.2130 | −1.93785 | −0.968923 | − | 0.247363i | \(-0.920436\pi\) | ||||
−0.968923 | + | 0.247363i | \(0.920436\pi\) | |||||||
\(620\) | −54.1196 | − | 37.8633i | −2.17350 | − | 1.52063i | ||||
\(621\) | 0.465469 | − | 0.465469i | 0.0186786 | − | 0.0186786i | ||||
\(622\) | −35.8822 | + | 9.61461i | −1.43875 | + | 0.385511i | ||||
\(623\) | −6.37990 | −0.255605 | ||||||||
\(624\) | −26.8730 | + | 7.20059i | −1.07578 | + | 0.288254i | ||||
\(625\) | −23.5057 | − | 8.51358i | −0.940229 | − | 0.340543i | ||||
\(626\) | 10.7483 | − | 18.6166i | 0.429588 | − | 0.744068i | ||||
\(627\) | 24.9962 | + | 43.2946i | 0.998250 | + | 1.72902i | ||||
\(628\) | −17.7736 | + | 17.7736i | −0.709245 | + | 0.709245i | ||||
\(629\) | 27.3576 | + | 15.3456i | 1.09082 | + | 0.611869i | ||||
\(630\) | −5.36880 | + | 2.50608i | −0.213898 | + | 0.0998447i | ||||
\(631\) | −34.6187 | − | 9.27605i | −1.37815 | − | 0.369274i | −0.507700 | − | 0.861534i | \(-0.669504\pi\) |
−0.870448 | + | 0.492260i | \(0.836171\pi\) | |||||||
\(632\) | −5.25994 | + | 1.40940i | −0.209229 | + | 0.0560627i | ||||
\(633\) | 11.7871 | + | 43.9899i | 0.468494 | + | 1.74844i | ||||
\(634\) | 10.8787 | + | 40.5999i | 0.432049 | + | 1.61243i | ||||
\(635\) | 22.5877 | − | 10.5436i | 0.896365 | − | 0.418411i | ||||
\(636\) | −52.0920 | + | 90.2261i | −2.06558 | + | 3.57770i | ||||
\(637\) | −25.0942 | −0.994267 | ||||||||
\(638\) | 7.13741 | − | 26.6372i | 0.282573 | − | 1.05458i | ||||
\(639\) | 19.9638i | 0.789757i | ||||||||
\(640\) | −15.5519 | + | 42.7807i | −0.614742 | + | 1.69106i | ||||
\(641\) | 12.8244 | + | 22.2125i | 0.506532 | + | 0.877339i | 0.999971 | + | 0.00755909i | \(0.00240616\pi\) |
−0.493439 | + | 0.869780i | \(0.664261\pi\) | |||||||
\(642\) | 43.8699 | − | 75.9850i | 1.73141 | − | 2.99889i | ||||
\(643\) | 38.4606 | 1.51674 | 0.758369 | − | 0.651825i | \(-0.225996\pi\) | ||||
0.758369 | + | 0.651825i | \(0.225996\pi\) | |||||||
\(644\) | −0.173382 | + | 0.647072i | −0.00683223 | + | 0.0254982i | ||||
\(645\) | −21.1445 | + | 30.2227i | −0.832564 | + | 1.19002i | ||||
\(646\) | 20.1437 | − | 75.1772i | 0.792543 | − | 2.95781i | ||||
\(647\) | 8.15295 | + | 4.70711i | 0.320526 | + | 0.185056i | 0.651627 | − | 0.758540i | \(-0.274087\pi\) |
−0.331101 | + | 0.943595i | \(0.607420\pi\) | |||||||
\(648\) | 42.7884 | + | 24.7039i | 1.68089 | + | 0.970460i | ||||
\(649\) | −4.50889 | + | 16.8274i | −0.176989 | + | 0.660533i | ||||
\(650\) | −7.80395 | + | 44.4626i | −0.306096 | + | 1.74397i | ||||
\(651\) | −2.27882 | + | 8.50466i | −0.0893138 | + | 0.333324i | ||||
\(652\) | 42.2189 | 1.65342 | ||||||||
\(653\) | 10.8330 | − | 18.7633i | 0.423928 | − | 0.734265i | −0.572392 | − | 0.819980i | \(-0.693984\pi\) |
0.996320 | + | 0.0857155i | \(0.0273176\pi\) | |||||||
\(654\) | 24.3322 | + | 42.1446i | 0.951465 | + | 1.64799i | ||||
\(655\) | 8.36344 | − | 3.90394i | 0.326787 | − | 0.152539i | ||||
\(656\) | − | 14.0253i | − | 0.547596i | ||||||
\(657\) | 2.39084 | − | 8.92275i | 0.0932757 | − | 0.348110i | ||||
\(658\) | −8.89551 | −0.346783 | ||||||||
\(659\) | −5.40133 | + | 9.35537i | −0.210406 | + | 0.364433i | −0.951842 | − | 0.306590i | \(-0.900812\pi\) |
0.741436 | + | 0.671024i | \(0.234145\pi\) | |||||||
\(660\) | 29.4766 | + | 63.1481i | 1.14738 | + | 2.45804i | ||||
\(661\) | −4.86688 | − | 18.1634i | −0.189300 | − | 0.706476i | −0.993669 | − | 0.112346i | \(-0.964163\pi\) |
0.804370 | − | 0.594129i | \(-0.202503\pi\) | |||||||
\(662\) | −13.2207 | − | 49.3403i | −0.513837 | − | 1.91767i | ||||
\(663\) | −42.0564 | + | 11.2690i | −1.63333 | + | 0.437650i | ||||
\(664\) | −50.4058 | − | 13.5062i | −1.95612 | − | 0.524142i | ||||
\(665\) | −2.42506 | + | 6.67094i | −0.0940396 | + | 0.258688i | ||||
\(666\) | −0.392036 | − | 31.5994i | −0.0151911 | − | 1.22445i | ||||
\(667\) | 0.768543 | − | 0.768543i | 0.0297581 | − | 0.0297581i | ||||
\(668\) | 0.133081 | + | 0.230504i | 0.00514907 | + | 0.00891846i | ||||
\(669\) | −11.8406 | + | 20.5086i | −0.457786 | + | 0.792908i | ||||
\(670\) | 3.17134 | − | 36.4133i | 0.122519 | − | 1.40677i | ||||
\(671\) | 46.6545 | − | 12.5010i | 1.80108 | − | 0.482597i | ||||
\(672\) | 1.30458 | 0.0503251 | ||||||||
\(673\) | −43.4302 | + | 11.6371i | −1.67411 | + | 0.448577i | −0.966214 | − | 0.257740i | \(-0.917022\pi\) |
−0.707896 | + | 0.706316i | \(0.750356\pi\) | |||||||
\(674\) | 55.0817 | − | 55.0817i | 2.12167 | − | 2.12167i | ||||
\(675\) | 7.96017 | − | 5.58310i | 0.306387 | − | 0.214893i | ||||
\(676\) | 3.34655 | 0.128714 | ||||||||
\(677\) | −26.3401 | − | 26.3401i | −1.01233 | − | 1.01233i | −0.999923 | − | 0.0124109i | \(-0.996049\pi\) |
−0.0124109 | − | 0.999923i | \(-0.503951\pi\) | |||||||
\(678\) | −5.67579 | + | 21.1823i | −0.217978 | + | 0.813503i | ||||
\(679\) | 0.624117 | + | 2.32924i | 0.0239514 | + | 0.0893879i | ||||
\(680\) | 17.9608 | − | 49.4073i | 0.688766 | − | 1.89468i | ||||
\(681\) | 30.7619 | + | 8.24263i | 1.17880 | + | 0.315858i | ||||
\(682\) | 63.1576 | + | 16.9230i | 2.41843 | + | 0.648016i | ||||
\(683\) | −19.6576 | + | 11.3493i | −0.752178 | + | 0.434270i | −0.826481 | − | 0.562965i | \(-0.809660\pi\) |
0.0743020 | + | 0.997236i | \(0.476327\pi\) | |||||||
\(684\) | −49.9777 | + | 13.3915i | −1.91094 | + | 0.512036i | ||||
\(685\) | 2.99923 | − | 34.4372i | 0.114595 | − | 1.31578i | ||||
\(686\) | −16.4136 | − | 4.39802i | −0.626676 | − | 0.167917i | ||||
\(687\) | 3.30347 | − | 12.3287i | 0.126035 | − | 0.470369i | ||||
\(688\) | −20.7574 | + | 11.9843i | −0.791369 | + | 0.456897i | ||||
\(689\) | 31.1728 | − | 31.1728i | 1.18759 | − | 1.18759i | ||||
\(690\) | −0.361148 | + | 4.14670i | −0.0137487 | + | 0.157862i | ||||
\(691\) | 3.35727 | − | 1.93832i | 0.127716 | − | 0.0737371i | −0.434781 | − | 0.900536i | \(-0.643174\pi\) |
0.562497 | + | 0.826799i | \(0.309841\pi\) | |||||||
\(692\) | 16.4141 | − | 16.4141i | 0.623969 | − | 0.623969i | ||||
\(693\) | 2.73676 | − | 2.73676i | 0.103961 | − | 0.103961i | ||||
\(694\) | −4.16500 | − | 7.21398i | −0.158101 | − | 0.273839i | ||||
\(695\) | 16.1940 | + | 5.88695i | 0.614275 | + | 0.223305i | ||||
\(696\) | 28.7474 | + | 16.5973i | 1.08967 | + | 0.629120i | ||||
\(697\) | − | 21.9497i | − | 0.831403i | ||||||
\(698\) | 3.56306 | − | 6.17139i | 0.134864 | − | 0.233591i | ||||
\(699\) | −1.84364 | − | 1.06443i | −0.0697329 | − | 0.0402603i | ||||
\(700\) | −4.17461 | + | 8.97087i | −0.157785 | + | 0.339067i | ||||
\(701\) | −0.649780 | + | 2.42501i | −0.0245418 | + | 0.0915914i | −0.977111 | − | 0.212732i | \(-0.931764\pi\) |
0.952569 | + | 0.304324i | \(0.0984304\pi\) | |||||||
\(702\) | −12.4144 | − | 12.4144i | −0.468551 | − | 0.468551i | ||||
\(703\) | −27.1004 | − | 26.4362i | −1.02211 | − | 0.997062i | ||||
\(704\) | − | 33.0303i | − | 1.24488i | ||||||
\(705\) | −35.9158 | + | 6.34748i | −1.35267 | + | 0.239060i | ||||
\(706\) | 6.15490 | + | 3.55353i | 0.231643 | + | 0.133739i | ||||
\(707\) | −3.85588 | + | 1.03318i | −0.145015 | + | 0.0388567i | ||||
\(708\) | −37.4790 | − | 21.6385i | −1.40855 | − | 0.813224i | ||||
\(709\) | −1.48911 | + | 1.48911i | −0.0559246 | + | 0.0559246i | −0.734516 | − | 0.678591i | \(-0.762591\pi\) |
0.678591 | + | 0.734516i | \(0.262591\pi\) | |||||||
\(710\) | 32.4918 | + | 38.6914i | 1.21940 | + | 1.45206i | ||||
\(711\) | 1.80952 | + | 1.80952i | 0.0678621 | + | 0.0678621i | ||||
\(712\) | −55.0871 | − | 14.7606i | −2.06448 | − | 0.553175i | ||||
\(713\) | 1.82224 | + | 1.82224i | 0.0682434 | + | 0.0682434i | ||||
\(714\) | −14.4626 | −0.541248 | ||||||||
\(715\) | −5.13204 | − | 29.0385i | −0.191927 | − | 1.08598i | ||||
\(716\) | 62.0727 | − | 16.6323i | 2.31977 | − | 0.621579i | ||||
\(717\) | − | 38.1277i | − | 1.42391i | ||||||
\(718\) | 40.4977 | + | 70.1441i | 1.51136 | + | 2.61775i | ||||
\(719\) | 39.8189 | − | 22.9894i | 1.48499 | − | 0.857361i | 0.485138 | − | 0.874437i | \(-0.338769\pi\) |
0.999854 | + | 0.0170766i | \(0.00543590\pi\) | |||||||
\(720\) | −15.5450 | + | 2.74729i | −0.579326 | + | 0.102385i | ||||
\(721\) | −0.543277 | − | 2.02754i | −0.0202327 | − | 0.0755094i | ||||
\(722\) | −23.9314 | + | 41.4504i | −0.890634 | + | 1.54262i | ||||
\(723\) | −20.8357 | − | 36.0885i | −0.774888 | − | 1.34215i | ||||
\(724\) | 28.6183 | + | 49.5683i | 1.06359 | + | 1.84219i | ||||
\(725\) | 13.1431 | − | 9.21832i | 0.488124 | − | 0.342360i | ||||
\(726\) | −6.01025 | − | 6.01025i | −0.223061 | − | 0.223061i | ||||
\(727\) | 3.64009 | + | 2.10161i | 0.135003 | + | 0.0779443i | 0.565981 | − | 0.824419i | \(-0.308498\pi\) |
−0.430977 | + | 0.902363i | \(0.641831\pi\) | |||||||
\(728\) | 8.36233 | + | 2.24068i | 0.309928 | + | 0.0830451i | ||||
\(729\) | − | 9.98935i | − | 0.369976i | ||||||
\(730\) | −9.88845 | − | 21.1841i | −0.365988 | − | 0.784060i | ||||
\(731\) | −32.4855 | + | 18.7555i | −1.20152 | + | 0.693697i | ||||
\(732\) | 119.987i | 4.43484i | ||||||||
\(733\) | −6.69183 | − | 24.9742i | −0.247168 | − | 0.922444i | −0.972281 | − | 0.233814i | \(-0.924879\pi\) |
0.725113 | − | 0.688630i | \(-0.241787\pi\) | |||||||
\(734\) | −12.2191 | − | 12.2191i | −0.451014 | − | 0.451014i | ||||
\(735\) | −34.0473 | − | 2.96528i | −1.25585 | − | 0.109376i | ||||
\(736\) | 0.190918 | − | 0.330680i | 0.00703734 | − | 0.0121890i | ||||
\(737\) | 6.17969 | + | 23.0629i | 0.227632 | + | 0.849533i | ||||
\(738\) | −19.1509 | + | 11.0568i | −0.704955 | + | 0.407006i | ||||
\(739\) | 21.1987 | 0.779807 | 0.389904 | − | 0.920856i | \(-0.372508\pi\) | ||||
0.389904 | + | 0.920856i | \(0.372508\pi\) | |||||||
\(740\) | −34.4379 | − | 39.9907i | −1.26596 | − | 1.47009i | ||||
\(741\) | 52.5504 | 1.93049 | ||||||||
\(742\) | 12.6817 | − | 7.32180i | 0.465561 | − | 0.268792i | ||||
\(743\) | 12.0248 | + | 44.8773i | 0.441148 | + | 1.64639i | 0.725911 | + | 0.687789i | \(0.241418\pi\) |
−0.284763 | + | 0.958598i | \(0.591915\pi\) | |||||||
\(744\) | −39.3528 | + | 68.1610i | −1.44274 | + | 2.49890i | ||||
\(745\) | 6.50026 | + | 7.74053i | 0.238151 | + | 0.283591i | ||||
\(746\) | −57.4290 | − | 57.4290i | −2.10262 | − | 2.10262i | ||||
\(747\) | 6.34708 | + | 23.6876i | 0.232227 | + | 0.866684i | ||||
\(748\) | 70.8717i | 2.59133i | ||||||||
\(749\) | −7.04747 | + | 4.06886i | −0.257509 | + | 0.148673i | ||||
\(750\) | −15.8422 | + | 59.4039i | −0.578476 | + | 2.16912i | ||||
\(751\) | 15.3386i | 0.559713i | 0.960042 | + | 0.279857i | \(0.0902869\pi\) | ||||
−0.960042 | + | 0.279857i | \(0.909713\pi\) | |||||||
\(752\) | −22.8929 | − | 6.13414i | −0.834819 | − | 0.223689i | ||||
\(753\) | −16.3288 | − | 9.42747i | −0.595056 | − | 0.343556i | ||||
\(754\) | −20.4976 | − | 20.4976i | −0.746477 | − | 0.746477i | ||||
\(755\) | −18.6646 | + | 3.29864i | −0.679275 | + | 0.120050i | ||||
\(756\) | −1.92410 | − | 3.33263i | −0.0699787 | − | 0.121207i | ||||
\(757\) | −2.29300 | − | 3.97159i | −0.0833404 | − | 0.144350i | 0.821342 | − | 0.570435i | \(-0.193226\pi\) |
−0.904683 | + | 0.426086i | \(0.859892\pi\) | |||||||
\(758\) | 1.18078 | − | 2.04517i | 0.0428879 | − | 0.0742840i | ||||
\(759\) | −0.703736 | − | 2.62638i | −0.0255440 | − | 0.0953315i | ||||
\(760\) | −36.3730 | + | 51.9895i | −1.31939 | + | 1.88586i | ||||
\(761\) | −36.6280 | + | 21.1472i | −1.32776 | + | 0.766584i | −0.984953 | − | 0.172821i | \(-0.944712\pi\) |
−0.342809 | + | 0.939405i | \(0.611378\pi\) | |||||||
\(762\) | −30.6507 | − | 53.0886i | −1.11036 | − | 1.92320i | ||||
\(763\) | − | 4.51354i | − | 0.163401i | ||||||
\(764\) | −27.0679 | + | 7.25282i | −0.979281 | + | 0.262398i | ||||
\(765\) | −24.3279 | + | 4.29953i | −0.879579 | + | 0.155450i | ||||
\(766\) | −73.8918 | −2.66982 | ||||||||
\(767\) | 12.9489 | + | 12.9489i | 0.467556 | + | 0.467556i | ||||
\(768\) | 67.2749 | + | 18.0263i | 2.42757 | + | 0.650466i | ||||
\(769\) | −18.0202 | − | 18.0202i | −0.649824 | − | 0.649824i | 0.303126 | − | 0.952950i | \(-0.401970\pi\) |
−0.952950 | + | 0.303126i | \(0.901970\pi\) | |||||||
\(770\) | 0.849869 | − | 9.75820i | 0.0306272 | − | 0.351661i | ||||
\(771\) | 24.0220 | − | 24.0220i | 0.865132 | − | 0.865132i | ||||
\(772\) | 54.0513 | + | 31.2066i | 1.94535 | + | 1.12315i | ||||
\(773\) | 6.80793 | − | 1.82418i | 0.244864 | − | 0.0656112i | −0.134299 | − | 0.990941i | \(-0.542878\pi\) |
0.379164 | + | 0.925330i | \(0.376212\pi\) | |||||||
\(774\) | 32.7280 | + | 18.8955i | 1.17639 | + | 0.679186i | ||||
\(775\) | 21.8569 | + | 31.1628i | 0.785125 | + | 1.11940i | ||||
\(776\) | 21.5557i | 0.773805i | ||||||||
\(777\) | −3.44172 | + | 6.13578i | −0.123471 | + | 0.220120i | ||||
\(778\) | 0.961310 | + | 0.961310i | 0.0344646 | + | 0.0344646i | ||||
\(779\) | −6.85666 | + | 25.5894i | −0.245665 | + | 0.916836i | ||||
\(780\) | 72.9787 | + | 6.35592i | 2.61306 | + | 0.227579i | ||||
\(781\) | −28.5827 | − | 16.5022i | −1.02277 | − | 0.590497i | ||||
\(782\) | −2.11652 | + | 3.66592i | −0.0756867 | + | 0.131093i | ||||
\(783\) | 6.24354i | 0.223126i | ||||||||
\(784\) | −19.2330 | − | 11.1042i | −0.686894 | − | 0.396578i | ||||
\(785\) | 13.1258 | − | 6.12696i | 0.468482 | − | 0.218681i | ||||
\(786\) | −11.3489 | − | 19.6569i | −0.404802 | − | 0.701137i | ||||
\(787\) | −27.3926 | + | 27.3926i | −0.976441 | + | 0.976441i | −0.999729 | − | 0.0232881i | \(-0.992586\pi\) |
0.0232881 | + | 0.999729i | \(0.492586\pi\) | |||||||
\(788\) | −3.62158 | + | 3.62158i | −0.129013 | + | 0.129013i | ||||
\(789\) | 27.6149 | − | 15.9435i | 0.983116 | − | 0.567602i | ||||
\(790\) | 6.45202 | + | 0.561925i | 0.229553 | + | 0.0199924i | ||||
\(791\) | 1.43820 | − | 1.43820i | 0.0511367 | − | 0.0511367i | ||||
\(792\) | 29.9622 | − | 17.2987i | 1.06466 | − | 0.614683i | ||||
\(793\) | 13.1407 | − | 49.0418i | 0.466640 | − | 1.74152i | ||||
\(794\) | −42.5385 | − | 11.3982i | −1.50964 | − | 0.404506i | ||||
\(795\) | 45.9782 | − | 38.6111i | 1.63068 | − | 1.36940i | ||||
\(796\) | −36.7534 | + | 9.84805i | −1.30269 | + | 0.349055i | ||||
\(797\) | 3.44250 | − | 1.98753i | 0.121939 | − | 0.0704018i | −0.437790 | − | 0.899077i | \(-0.644239\pi\) |
0.559729 | + | 0.828676i | \(0.310905\pi\) | |||||||
\(798\) | 16.8608 | + | 4.51783i | 0.596865 | + | 0.159929i | ||||
\(799\) | −35.8276 | − | 9.59997i | −1.26749 | − | 0.339622i | ||||
\(800\) | 3.62183 | − | 4.32323i | 0.128051 | − | 0.152849i | ||||
\(801\) | 6.93655 | + | 25.8875i | 0.245091 | + | 0.914691i | ||||
\(802\) | 17.0936 | − | 63.7942i | 0.603596 | − | 2.25265i | ||||
\(803\) | 10.7986 | + | 10.7986i | 0.381076 | + | 0.381076i | ||||
\(804\) | −59.3136 | −2.09183 | ||||||||
\(805\) | 0.221308 | − | 0.316325i | 0.00780008 | − | 0.0111490i | ||||
\(806\) | 48.6004 | − | 48.6004i | 1.71188 | − | 1.71188i | ||||
\(807\) | −2.29820 | + | 0.615801i | −0.0809005 | + | 0.0216772i | ||||
\(808\) | −35.6839 | −1.25535 | ||||||||
\(809\) | 4.43352 | − | 1.18796i | 0.155874 | − | 0.0417664i | −0.180038 | − | 0.983660i | \(-0.557622\pi\) |
0.335912 | + | 0.941893i | \(0.390955\pi\) | |||||||
\(810\) | −37.7891 | − | 44.9993i | −1.32777 | − | 1.58112i | ||||
\(811\) | −1.06741 | + | 1.84880i | −0.0374817 | + | 0.0649202i | −0.884158 | − | 0.467189i | \(-0.845267\pi\) |
0.846676 | + | 0.532109i | \(0.178600\pi\) | |||||||
\(812\) | −3.17690 | − | 5.50255i | −0.111487 | − | 0.193102i | ||||
\(813\) | 21.0817 | − | 21.0817i | 0.739366 | − | 0.739366i | ||||
\(814\) | 45.5657 | + | 25.5590i | 1.59708 | + | 0.895843i | ||||
\(815\) | −22.8662 | − | 8.31246i | −0.800969 | − | 0.291173i | ||||
\(816\) | −37.2199 | − | 9.97305i | −1.30296 | − | 0.349127i | ||||
\(817\) | 43.7312 | − | 11.7177i | 1.52996 | − | 0.409951i | ||||
\(818\) | 10.9541 | + | 40.8812i | 0.383001 | + | 1.42938i | ||||
\(819\) | −1.05298 | − | 3.92978i | −0.0367941 | − | 0.137317i | ||||
\(820\) | −12.6171 | + | 34.7076i | −0.440609 | + | 1.21204i | ||||
\(821\) | 5.94240 | − | 10.2925i | 0.207391 | − | 0.359212i | −0.743501 | − | 0.668735i | \(-0.766836\pi\) |
0.950892 | + | 0.309523i | \(0.100169\pi\) | |||||||
\(822\) | −85.0087 | −2.96502 | ||||||||
\(823\) | 3.87588 | − | 14.4650i | 0.135105 | − | 0.504217i | −0.864893 | − | 0.501957i | \(-0.832614\pi\) |
0.999997 | − | 0.00226077i | \(-0.000719627\pi\) | |||||||
\(824\) | − | 18.7637i | − | 0.653663i | ||||||
\(825\) | −3.53169 | − | 40.0054i | −0.122958 | − | 1.39281i | ||||
\(826\) | 3.04140 | + | 5.26786i | 0.105824 | + | 0.183292i | ||||
\(827\) | −1.58873 | + | 2.75176i | −0.0552456 | + | 0.0956881i | −0.892326 | − | 0.451392i | \(-0.850928\pi\) |
0.837080 | + | 0.547080i | \(0.184261\pi\) | |||||||
\(828\) | 2.81412 | 0.0977974 | ||||||||
\(829\) | −4.75678 | + | 17.7525i | −0.165210 | + | 0.616571i | 0.832804 | + | 0.553569i | \(0.186734\pi\) |
−0.998013 | + | 0.0630026i | \(0.979932\pi\) | |||||||
\(830\) | 50.8535 | + | 35.5782i | 1.76515 | + | 1.23494i | ||||
\(831\) | −9.40108 | + | 35.0853i | −0.326120 | + | 1.21710i | ||||
\(832\) | −30.0688 | − | 17.3602i | −1.04245 | − | 0.601858i | ||||
\(833\) | −30.0998 | − | 17.3781i | −1.04290 | − | 0.602116i | ||||
\(834\) | 10.9673 | − | 40.9304i | 0.379765 | − | 1.41730i | ||||
\(835\) | −0.0266947 | − | 0.151046i | −0.000923807 | − | 0.00522716i | ||||
\(836\) | 22.1390 | − | 82.6238i | 0.765693 | − | 2.85760i | ||||
\(837\) | −14.8036 | −0.511688 | ||||||||
\(838\) | 40.3867 | − | 69.9519i | 1.39514 | − | 2.41645i | ||||
\(839\) | 1.61759 | + | 2.80176i | 0.0558456 | + | 0.0967274i | 0.892597 | − | 0.450856i | \(-0.148881\pi\) |
−0.836751 | + | 0.547583i | \(0.815548\pi\) | |||||||
\(840\) | 11.0811 | + | 4.02826i | 0.382334 | + | 0.138988i | ||||
\(841\) | − | 18.6912i | − | 0.644525i | ||||||
\(842\) | −20.1851 | + | 75.3317i | −0.695624 | + | 2.59610i | ||||
\(843\) | 9.39407 | 0.323549 | ||||||||
\(844\) | 38.9617 | − | 67.4836i | 1.34112 | − | 2.32288i | ||||
\(845\) | −1.81253 | − | 0.658902i | −0.0623530 | − | 0.0226669i | ||||
\(846\) | 9.67165 | + | 36.0951i | 0.332518 | + | 1.24097i | ||||
\(847\) | 0.204037 | + | 0.761477i | 0.00701080 | + | 0.0261646i | ||||
\(848\) | 37.6859 | − | 10.0979i | 1.29414 | − | 0.346763i | ||||
\(849\) | −44.7023 | − | 11.9779i | −1.53418 | − | 0.411082i | ||||
\(850\) | −40.1517 | + | 47.9274i | −1.37719 | + | 1.64390i | ||||
\(851\) | 1.05160 | + | 1.77033i | 0.0360483 | + | 0.0606863i | ||||
\(852\) | 57.9751 | − | 57.9751i | 1.98619 | − | 1.98619i | ||||
\(853\) | 15.2299 | + | 26.3789i | 0.521461 | + | 0.903197i | 0.999688 | + | 0.0249611i | \(0.00794618\pi\) |
−0.478227 | + | 0.878236i | \(0.658720\pi\) | |||||||
\(854\) | 8.43237 | − | 14.6053i | 0.288550 | − | 0.499783i | ||||
\(855\) | 29.7051 | + | 2.58710i | 1.01589 | + | 0.0884771i | ||||
\(856\) | −70.2650 | + | 18.8274i | −2.40161 | + | 0.643509i | ||||
\(857\) | 20.7543 | 0.708954 | 0.354477 | − | 0.935065i | \(-0.384659\pi\) | ||||
0.354477 | + | 0.935065i | \(0.384659\pi\) | |||||||
\(858\) | −70.0473 | + | 18.7691i | −2.39138 | + | 0.640767i | ||||
\(859\) | 3.76826 | − | 3.76826i | 0.128571 | − | 0.128571i | −0.639893 | − | 0.768464i | \(-0.721021\pi\) |
0.768464 | + | 0.639893i | \(0.221021\pi\) | |||||||
\(860\) | 62.1483 | − | 10.9836i | 2.11924 | − | 0.374537i | ||||
\(861\) | 4.92288 | 0.167771 | ||||||||
\(862\) | 12.0323 | + | 12.0323i | 0.409822 | + | 0.409822i | ||||
\(863\) | −7.29310 | + | 27.2182i | −0.248260 | + | 0.926519i | 0.723457 | + | 0.690370i | \(0.242552\pi\) |
−0.971717 | + | 0.236149i | \(0.924115\pi\) | |||||||
\(864\) | 0.567703 | + | 2.11870i | 0.0193136 | + | 0.0720795i | ||||
\(865\) | −12.1218 | + | 5.65829i | −0.412154 | + | 0.192388i | ||||
\(866\) | −83.1784 | − | 22.2876i | −2.82652 | − | 0.757363i | ||||
\(867\) | −21.0120 | − | 5.63015i | −0.713606 | − | 0.191210i | ||||
\(868\) | 13.0467 | − | 7.53253i | 0.442835 | − | 0.255671i | ||||
\(869\) | −4.08649 | + | 1.09497i | −0.138625 | + | 0.0371444i | ||||
\(870\) | −25.3886 | − | 30.2329i | −0.860755 | − | 1.02499i | ||||
\(871\) | 24.2430 | + | 6.49590i | 0.821444 | + | 0.220105i | ||||
\(872\) | 10.4425 | − | 38.9721i | 0.353629 | − | 1.31976i | ||||
\(873\) | 8.77271 | − | 5.06493i | 0.296911 | − | 0.171422i | ||||
\(874\) | 3.61265 | − | 3.61265i | 0.122200 | − | 0.122200i | ||||
\(875\) | 4.02729 | − | 4.03679i | 0.136147 | − | 0.136468i | ||||
\(876\) | −32.8548 | + | 18.9687i | −1.11006 | + | 0.640894i | ||||
\(877\) | −9.40855 | + | 9.40855i | −0.317704 | + | 0.317704i | −0.847885 | − | 0.530181i | \(-0.822124\pi\) |
0.530181 | + | 0.847885i | \(0.322124\pi\) | |||||||
\(878\) | 53.0871 | − | 53.0871i | 1.79160 | − | 1.79160i | ||||
\(879\) | 17.4024 | + | 30.1419i | 0.586969 | + | 1.01666i | ||||
\(880\) | 8.91620 | − | 24.5270i | 0.300565 | − | 0.826806i | ||||
\(881\) | −5.73392 | − | 3.31048i | −0.193181 | − | 0.111533i | 0.400290 | − | 0.916388i | \(-0.368909\pi\) |
−0.593471 | + | 0.804856i | \(0.702243\pi\) | |||||||
\(882\) | 35.0158i | 1.17904i | ||||||||
\(883\) | −18.1081 | + | 31.3641i | −0.609385 | + | 1.05549i | 0.381957 | + | 0.924180i | \(0.375250\pi\) |
−0.991342 | + | 0.131305i | \(0.958083\pi\) | |||||||
\(884\) | 64.5174 | + | 37.2491i | 2.16995 | + | 1.25282i | ||||
\(885\) | 16.0387 | + | 19.0989i | 0.539134 | + | 0.642002i | ||||
\(886\) | 0.307726 | − | 1.14845i | 0.0103383 | − | 0.0385829i | ||||
\(887\) | −10.3036 | − | 10.3036i | −0.345961 | − | 0.345961i | 0.512642 | − | 0.858603i | \(-0.328667\pi\) |
−0.858603 | + | 0.512642i | \(0.828667\pi\) | |||||||
\(888\) | −43.9132 | + | 45.0165i | −1.47363 | + | 1.51065i | ||||
\(889\) | 5.68559i | 0.190689i | ||||||||
\(890\) | 55.5764 | + | 38.8825i | 1.86293 | + | 1.30334i | ||||
\(891\) | 33.2427 | + | 19.1927i | 1.11367 | + | 0.642978i | ||||
\(892\) | 39.1388 | − | 10.4872i | 1.31046 | − | 0.351137i | ||||
\(893\) | 38.7697 | + | 22.3837i | 1.29738 | + | 0.749042i | ||||
\(894\) | 17.5768 | − | 17.5768i | 0.587856 | − | 0.587856i | ||||
\(895\) | −36.8940 | − | 3.21321i | −1.23323 | − | 0.107406i | ||||
\(896\) | −7.34150 | − | 7.34150i | −0.245262 | − | 0.245262i | ||||
\(897\) | −2.76077 | − | 0.739746i | −0.0921794 | − | 0.0246994i | ||||
\(898\) | −3.61198 | − | 3.61198i | −0.120533 | − | 0.120533i | ||||
\(899\) | −24.4425 | −0.815202 | ||||||||
\(900\) | 40.9397 | + | 7.18561i | 1.36466 | + | 0.239520i | ||||
\(901\) | 58.9786 | − | 15.8033i | 1.96486 | − | 0.526483i | ||||
\(902\) | − | 36.5585i | − | 1.21726i | ||||||
\(903\) | −4.20649 | − | 7.28585i | −0.139983 | − | 0.242458i | ||||
\(904\) | 15.7456 | − | 9.09072i | 0.523691 | − | 0.302353i | ||||
\(905\) | −5.74051 | − | 32.4814i | −0.190821 | − | 1.07972i | ||||
\(906\) | 12.0639 | + | 45.0232i | 0.400797 | + | 1.49580i | ||||
\(907\) | −5.54646 | + | 9.60675i | −0.184167 | + | 0.318987i | −0.943296 | − | 0.331954i | \(-0.892292\pi\) |
0.759128 | + | 0.650941i | \(0.225625\pi\) | |||||||
\(908\) | −27.2457 | − | 47.1909i | −0.904180 | − | 1.56609i | ||||
\(909\) | 8.38461 | + | 14.5226i | 0.278100 | + | 0.481683i | ||||
\(910\) | −8.43660 | − | 5.90243i | −0.279671 | − | 0.195664i | ||||
\(911\) | 2.08304 | + | 2.08304i | 0.0690141 | + | 0.0690141i | 0.740771 | − | 0.671757i | \(-0.234460\pi\) |
−0.671757 | + | 0.740771i | \(0.734460\pi\) | |||||||
\(912\) | 40.2764 | + | 23.2536i | 1.33369 | + | 0.770004i | ||||
\(913\) | −39.1607 | − | 10.4931i | −1.29603 | − | 0.347270i | ||||
\(914\) | 76.0691i | 2.51614i | ||||||||
\(915\) | 23.6241 | − | 64.9862i | 0.780990 | − | 2.14838i | ||||
\(916\) | −18.9131 | + | 10.9195i | −0.624906 | + | 0.360790i | ||||
\(917\) | 2.10518i | 0.0695191i | ||||||||
\(918\) | −6.29356 | − | 23.4879i | −0.207719 | − | 0.775216i | ||||
\(919\) | 5.66143 | + | 5.66143i | 0.186753 | + | 0.186753i | 0.794291 | − | 0.607538i | \(-0.207843\pi\) |
−0.607538 | + | 0.794291i | \(0.707843\pi\) | |||||||
\(920\) | 2.64273 | − | 2.21928i | 0.0871282 | − | 0.0731676i | ||||
\(921\) | −19.9334 | + | 34.5256i | −0.656828 | + | 1.13766i | ||||
\(922\) | 21.6006 | + | 80.6147i | 0.711379 | + | 2.65490i | ||||
\(923\) | −30.0453 | + | 17.3467i | −0.988953 | + | 0.570972i | ||||
\(924\) | −15.8951 | −0.522911 | ||||||||
\(925\) | 10.7782 | + | 28.4399i | 0.354386 | + | 0.935099i | ||||
\(926\) | −33.5866 | −1.10373 | ||||||||
\(927\) | −7.63641 | + | 4.40888i | −0.250813 | + | 0.144807i | ||||
\(928\) | 0.937342 | + | 3.49821i | 0.0307697 | + | 0.114834i | ||||
\(929\) | 11.4336 | − | 19.8035i | 0.375124 | − | 0.649733i | −0.615222 | − | 0.788354i | \(-0.710934\pi\) |
0.990346 | + | 0.138621i | \(0.0442669\pi\) | |||||||
\(930\) | 71.6831 | − | 60.1972i | 2.35058 | − | 1.97395i | ||||
\(931\) | 29.6624 | + | 29.6624i | 0.972146 | + | 0.972146i | ||||
\(932\) | 0.942757 | + | 3.51842i | 0.0308810 | + | 0.115250i | ||||
\(933\) | − | 34.7400i | − | 1.13734i | ||||||
\(934\) | −27.2223 | + | 15.7168i | −0.890740 | + | 0.514269i | ||||
\(935\) | 13.9539 | − | 38.3850i | 0.456342 | − | 1.25532i | ||||
\(936\) | − | 36.3678i | − | 1.18872i | ||||||
\(937\) | 33.4153 | + | 8.95361i | 1.09163 | + | 0.292502i | 0.759352 | − | 0.650680i | \(-0.225516\pi\) |
0.332279 | + | 0.943181i | \(0.392183\pi\) | |||||||
\(938\) | 7.21990 | + | 4.16841i | 0.235738 | + | 0.136104i | ||||
\(939\) | 14.2150 | + | 14.2150i | 0.463890 | + | 0.463890i | ||||
\(940\) | 51.1336 | + | 35.7742i | 1.66779 | + | 1.16683i | ||||
\(941\) | −7.81481 | − | 13.5357i | −0.254756 | − | 0.441250i | 0.710074 | − | 0.704128i | \(-0.248662\pi\) |
−0.964829 | + | 0.262878i | \(0.915328\pi\) | |||||||
\(942\) | −17.8113 | − | 30.8501i | −0.580324 | − | 1.00515i | ||||
\(943\) | 0.720438 | − | 1.24784i | 0.0234607 | − | 0.0406351i | ||||
\(944\) | 4.19456 | + | 15.6543i | 0.136521 | + | 0.509504i | ||||
\(945\) | 0.385952 | + | 2.18383i | 0.0125550 | + | 0.0710399i | ||||
\(946\) | −54.1065 | + | 31.2384i | −1.75915 | + | 1.01565i | ||||
\(947\) | −13.3898 | − | 23.1918i | −0.435109 | − | 0.753631i | 0.562196 | − | 0.827004i | \(-0.309957\pi\) |
−0.997305 | + | 0.0733735i | \(0.976623\pi\) | |||||||
\(948\) | − | 10.5097i | − | 0.341339i | ||||||
\(949\) | 15.5060 | − | 4.15483i | 0.503347 | − | 0.134872i | ||||
\(950\) | 61.7814 | − | 43.3321i | 2.00445 | − | 1.40588i | ||||
\(951\) | −39.3074 | −1.27463 | ||||||||
\(952\) | 8.47868 | + | 8.47868i | 0.274796 | + | 0.274796i | ||||
\(953\) | 8.42269 | + | 2.25685i | 0.272838 | + | 0.0731067i | 0.392644 | − | 0.919691i | \(-0.371561\pi\) |
−0.119806 | + | 0.992797i | \(0.538227\pi\) | |||||||
\(954\) | −43.4977 | − | 43.4977i | −1.40829 | − | 1.40829i | ||||
\(955\) | 16.0883 | + | 1.40117i | 0.520605 | + | 0.0453409i | ||||
\(956\) | −46.1300 | + | 46.1300i | −1.49195 | + | 1.49195i | ||||
\(957\) | 22.3341 | + | 12.8946i | 0.721959 | + | 0.416823i | ||||
\(958\) | −50.3484 | + | 13.4908i | −1.62668 | + | 0.435868i | ||||
\(959\) | 6.82809 | + | 3.94220i | 0.220491 | + | 0.127300i | ||||
\(960\) | −38.7455 | − | 27.1072i | −1.25050 | − | 0.874881i | ||||
\(961\) | − | 26.9539i | − | 0.869480i | ||||||
\(962\) | 47.2160 | − | 28.0469i | 1.52231 | − | 0.904268i | ||||
\(963\) | 24.1725 | + | 24.1725i | 0.778947 | + | 0.778947i | ||||
\(964\) | −18.4541 | + | 68.8716i | −0.594366 | + | 2.21820i | ||||
\(965\) | −23.1306 | − | 27.5440i | −0.744600 | − | 0.886672i | ||||
\(966\) | −0.822194 | − | 0.474694i | −0.0264537 | − | 0.0152730i | ||||
\(967\) | 18.3121 | − | 31.7175i | 0.588877 | − | 1.01996i | −0.405503 | − | 0.914094i | \(-0.632904\pi\) |
0.994380 | − | 0.105871i | \(-0.0337630\pi\) | |||||||
\(968\) | 7.04702i | 0.226500i | ||||||||
\(969\) | 63.0328 | + | 36.3920i | 2.02491 | + | 1.16908i | ||||
\(970\) | 8.75882 | − | 24.0941i | 0.281229 | − | 0.773615i | ||||
\(971\) | 13.4291 | + | 23.2599i | 0.430961 | + | 0.746446i | 0.996956 | − | 0.0779623i | \(-0.0248414\pi\) |
−0.565996 | + | 0.824408i | \(0.691508\pi\) | |||||||
\(972\) | −51.4212 | + | 51.4212i | −1.64934 | + | 1.64934i | ||||
\(973\) | −2.77903 | + | 2.77903i | −0.0890915 | + | 0.0890915i | ||||
\(974\) | −25.0888 | + | 14.4850i | −0.803897 | + | 0.464130i | ||||
\(975\) | −38.2747 | − | 17.8112i | −1.22577 | − | 0.570415i | ||||
\(976\) | 31.7725 | − | 31.7725i | 1.01701 | − | 1.01701i | ||||
\(977\) | 11.8665 | − | 6.85116i | 0.379645 | − | 0.219188i | −0.298019 | − | 0.954560i | \(-0.596326\pi\) |
0.677664 | + | 0.735372i | \(0.262993\pi\) | |||||||
\(978\) | −15.4859 | + | 57.7943i | −0.495186 | + | 1.84806i | ||||
\(979\) | −42.7977 | − | 11.4676i | −1.36782 | − | 0.366506i | ||||
\(980\) | 37.6056 | + | 44.7809i | 1.20127 | + | 1.43047i | ||||
\(981\) | −18.3145 | + | 4.90735i | −0.584736 | + | 0.156680i | ||||
\(982\) | 31.2230 | − | 18.0266i | 0.996365 | − | 0.575251i | ||||
\(983\) | −15.2749 | − | 4.09290i | −0.487194 | − | 0.130543i | 0.00685662 | − | 0.999976i | \(-0.497817\pi\) |
−0.494050 | + | 0.869433i | \(0.664484\pi\) | |||||||
\(984\) | 42.5065 | + | 11.3896i | 1.35506 | + | 0.363087i | ||||
\(985\) | 2.67454 | − | 1.24844i | 0.0852179 | − | 0.0397785i | ||||
\(986\) | −10.3914 | − | 38.7812i | −0.330929 | − | 1.23504i | ||||
\(987\) | 2.15308 | − | 8.03542i | 0.0685334 | − | 0.255770i | ||||
\(988\) | −63.5798 | − | 63.5798i | −2.02274 | − | 2.02274i | ||||
\(989\) | −2.46239 | −0.0782995 | ||||||||
\(990\) | −40.5196 | + | 7.16111i | −1.28780 | + | 0.227595i | ||||
\(991\) | 42.9379 | − | 42.9379i | 1.36397 | − | 1.36397i | 0.495169 | − | 0.868797i | \(-0.335106\pi\) |
0.868797 | − | 0.495169i | \(-0.164894\pi\) | |||||||
\(992\) | −8.29436 | + | 2.22247i | −0.263346 | + | 0.0705634i | ||||
\(993\) | 47.7696 | 1.51592 | ||||||||
\(994\) | −11.1313 | + | 2.98263i | −0.353064 | + | 0.0946033i | ||||
\(995\) | 21.8451 | + | 1.90255i | 0.692535 | + | 0.0603149i | ||||
\(996\) | 50.3571 | − | 87.2210i | 1.59562 | − | 2.76370i | ||||
\(997\) | 19.5601 | + | 33.8791i | 0.619475 | + | 1.07296i | 0.989582 | + | 0.143973i | \(0.0459879\pi\) |
−0.370106 | + | 0.928989i | \(0.620679\pi\) | |||||||
\(998\) | 14.0618 | − | 14.0618i | 0.445119 | − | 0.445119i | ||||
\(999\) | −11.4625 | − | 2.91945i | −0.362658 | − | 0.0923674i |
(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 | 185.2.u.a.8.17 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.82.17 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.82.1 | 68 | |||
5.4 | even | 2 | 925.2.y.b.193.1 | 68 | |||
37.14 | odd | 12 | 185.2.p.a.88.17 | yes | 68 | ||
185.14 | odd | 12 | 925.2.t.b.643.1 | 68 | |||
185.88 | even | 12 | 925.2.y.b.532.1 | 68 | |||
185.162 | even | 12 | inner | 185.2.u.a.162.17 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.82.17 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.88.17 | yes | 68 | 37.14 | odd | 12 | ||
185.2.u.a.8.17 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.162.17 | yes | 68 | 185.162 | even | 12 | inner | |
925.2.t.b.82.1 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.643.1 | 68 | 185.14 | odd | 12 | |||
925.2.y.b.193.1 | 68 | 5.4 | even | 2 | |||
925.2.y.b.532.1 | 68 | 185.88 | even | 12 |