Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(11,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 15, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bf (of order \(24\), degree \(8\), 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: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 288.11 |
Dual form | 288.2.bf.a.131.9 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{8}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18241 | − | 0.775832i | −0.836088 | − | 0.548596i | ||||
\(3\) | −0.200716 | + | 1.72038i | −0.115884 | + | 0.993263i | ||||
\(4\) | 0.796170 | + | 1.83470i | 0.398085 | + | 0.917349i | ||||
\(5\) | −0.263676 | − | 2.00282i | −0.117919 | − | 0.895686i | −0.943493 | − | 0.331392i | \(-0.892482\pi\) |
0.825574 | − | 0.564294i | \(-0.190852\pi\) | |||||||
\(6\) | 1.57205 | − | 1.87847i | 0.641789 | − | 0.766881i | ||||
\(7\) | −0.327090 | − | 1.22072i | −0.123628 | − | 0.461388i | 0.876159 | − | 0.482023i | \(-0.160098\pi\) |
−0.999787 | + | 0.0206352i | \(0.993431\pi\) | |||||||
\(8\) | 0.482020 | − | 2.78705i | 0.170420 | − | 0.985372i | ||||
\(9\) | −2.91943 | − | 0.690617i | −0.973142 | − | 0.230206i | ||||
\(10\) | −1.24208 | + | 2.57271i | −0.392779 | + | 0.813562i | ||||
\(11\) | 4.33754 | − | 3.32831i | 1.30782 | − | 1.00352i | 0.309197 | − | 0.950998i | \(-0.399940\pi\) |
0.998620 | − | 0.0525253i | \(-0.0167270\pi\) | |||||||
\(12\) | −3.31618 | + | 1.00146i | −0.957300 | + | 0.289097i | ||||
\(13\) | −1.58016 | + | 2.05931i | −0.438258 | + | 0.571149i | −0.959302 | − | 0.282381i | \(-0.908876\pi\) |
0.521044 | + | 0.853530i | \(0.325543\pi\) | |||||||
\(14\) | −0.560318 | + | 1.69715i | −0.149751 | + | 0.453583i | ||||
\(15\) | 3.49853 | − | 0.0516253i | 0.903317 | − | 0.0133296i | ||||
\(16\) | −2.73223 | + | 2.92146i | −0.683057 | + | 0.730365i | ||||
\(17\) | 4.55567 | 1.10491 | 0.552456 | − | 0.833542i | \(-0.313691\pi\) | ||||
0.552456 | + | 0.833542i | \(0.313691\pi\) | |||||||
\(18\) | 2.91615 | + | 3.08157i | 0.687342 | + | 0.726334i | ||||
\(19\) | 5.75676 | − | 2.38453i | 1.32069 | − | 0.547048i | 0.392705 | − | 0.919664i | \(-0.371539\pi\) |
0.927985 | + | 0.372616i | \(0.121539\pi\) | |||||||
\(20\) | 3.46463 | − | 2.07835i | 0.774715 | − | 0.464732i | ||||
\(21\) | 2.16575 | − | 0.317702i | 0.472606 | − | 0.0693283i | ||||
\(22\) | −7.71094 | + | 0.570215i | −1.64398 | + | 0.121570i | ||||
\(23\) | 2.66447 | + | 0.713943i | 0.555581 | + | 0.148868i | 0.525675 | − | 0.850685i | \(-0.323813\pi\) |
0.0299057 | + | 0.999553i | \(0.490479\pi\) | |||||||
\(24\) | 4.69804 | + | 1.38866i | 0.958984 | + | 0.283460i | ||||
\(25\) | 0.887885 | − | 0.237908i | 0.177577 | − | 0.0475816i | ||||
\(26\) | 3.46607 | − | 1.20900i | 0.679752 | − | 0.237104i | ||||
\(27\) | 1.77410 | − | 4.88391i | 0.341426 | − | 0.939909i | ||||
\(28\) | 1.97923 | − | 1.57201i | 0.374039 | − | 0.297082i | ||||
\(29\) | −9.89471 | − | 1.30266i | −1.83740 | − | 0.241899i | −0.869626 | − | 0.493711i | \(-0.835640\pi\) |
−0.967776 | + | 0.251813i | \(0.918973\pi\) | |||||||
\(30\) | −4.17674 | − | 2.65323i | −0.762565 | − | 0.484411i | ||||
\(31\) | 3.42244 | − | 1.97595i | 0.614689 | − | 0.354891i | −0.160109 | − | 0.987099i | \(-0.551185\pi\) |
0.774798 | + | 0.632208i | \(0.217851\pi\) | |||||||
\(32\) | 5.49717 | − | 1.33461i | 0.971771 | − | 0.235927i | ||||
\(33\) | 4.85535 | + | 8.13027i | 0.845208 | + | 1.41530i | ||||
\(34\) | −5.38665 | − | 3.53443i | −0.923803 | − | 0.606150i | ||||
\(35\) | −2.35863 | + | 0.976975i | −0.398681 | + | 0.165139i | ||||
\(36\) | −1.05729 | − | 5.90611i | −0.176214 | − | 0.984352i | ||||
\(37\) | −2.63059 | + | 6.35081i | −0.432467 | + | 1.04407i | 0.546023 | + | 0.837770i | \(0.316141\pi\) |
−0.978490 | + | 0.206297i | \(0.933859\pi\) | |||||||
\(38\) | −8.65682 | − | 1.64680i | −1.40432 | − | 0.267145i | ||||
\(39\) | −3.22563 | − | 3.13182i | −0.516514 | − | 0.501492i | ||||
\(40\) | −5.70905 | − | 0.230519i | −0.902680 | − | 0.0364483i | ||||
\(41\) | 2.39889 | − | 8.95279i | 0.374644 | − | 1.39819i | −0.479220 | − | 0.877695i | \(-0.659080\pi\) |
0.853864 | − | 0.520496i | \(-0.174253\pi\) | |||||||
\(42\) | −2.80728 | − | 1.30461i | −0.433173 | − | 0.201305i | ||||
\(43\) | −0.0159977 | − | 0.0208487i | −0.00243963 | − | 0.00317939i | 0.792132 | − | 0.610350i | \(-0.208971\pi\) |
−0.794572 | + | 0.607171i | \(0.792304\pi\) | |||||||
\(44\) | 9.55986 | + | 5.30817i | 1.44120 | + | 0.800236i | ||||
\(45\) | −0.613396 | + | 6.02917i | −0.0914397 | + | 0.898776i | ||||
\(46\) | −2.59659 | − | 2.91135i | −0.382846 | − | 0.429256i | ||||
\(47\) | −0.938219 | − | 0.541681i | −0.136853 | − | 0.0790123i | 0.430010 | − | 0.902824i | \(-0.358510\pi\) |
−0.566863 | + | 0.823812i | \(0.691843\pi\) | |||||||
\(48\) | −4.47763 | − | 5.28686i | −0.646290 | − | 0.763092i | ||||
\(49\) | 4.67901 | − | 2.70143i | 0.668431 | − | 0.385919i | ||||
\(50\) | −1.23442 | − | 0.407545i | −0.174573 | − | 0.0576356i | ||||
\(51\) | −0.914396 | + | 7.83749i | −0.128041 | + | 1.09747i | ||||
\(52\) | −5.03628 | − | 1.25956i | −0.698407 | − | 0.174670i | ||||
\(53\) | −0.240880 | + | 0.581535i | −0.0330874 | + | 0.0798800i | −0.939559 | − | 0.342386i | \(-0.888765\pi\) |
0.906472 | + | 0.422266i | \(0.138765\pi\) | |||||||
\(54\) | −5.88680 | + | 4.39836i | −0.801092 | + | 0.598541i | ||||
\(55\) | −7.80969 | − | 7.80969i | −1.05306 | − | 1.05306i | ||||
\(56\) | −3.55987 | + | 0.323207i | −0.475707 | + | 0.0431904i | ||||
\(57\) | 2.94682 | + | 10.3824i | 0.390316 | + | 1.37519i | ||||
\(58\) | 10.6889 | + | 9.21691i | 1.40352 | + | 1.21024i | ||||
\(59\) | −10.3062 | + | 1.35684i | −1.34176 | + | 0.176646i | −0.766984 | − | 0.641667i | \(-0.778243\pi\) |
−0.574774 | + | 0.818312i | \(0.694910\pi\) | |||||||
\(60\) | 2.88014 | + | 6.37764i | 0.371825 | + | 0.823350i | ||||
\(61\) | 0.259109 | − | 1.96813i | 0.0331755 | − | 0.251993i | −0.966819 | − | 0.255464i | \(-0.917772\pi\) |
0.999994 | + | 0.00347153i | \(0.00110502\pi\) | |||||||
\(62\) | −5.57972 | − | 0.318866i | −0.708626 | − | 0.0404960i | ||||
\(63\) | 0.111868 | + | 3.78969i | 0.0140940 | + | 0.477456i | ||||
\(64\) | −7.53531 | − | 2.68683i | −0.941914 | − | 0.335854i | ||||
\(65\) | 4.54106 | + | 2.62178i | 0.563249 | + | 0.325192i | ||||
\(66\) | 0.566723 | − | 13.3802i | 0.0697588 | − | 1.64699i | ||||
\(67\) | −0.569713 | + | 0.742465i | −0.0696016 | + | 0.0907065i | −0.826857 | − | 0.562413i | \(-0.809873\pi\) |
0.757255 | + | 0.653119i | \(0.226540\pi\) | |||||||
\(68\) | 3.62709 | + | 8.35827i | 0.439849 | + | 1.01359i | ||||
\(69\) | −1.76306 | + | 4.44061i | −0.212247 | + | 0.534587i | ||||
\(70\) | 3.54682 | + | 0.674716i | 0.423926 | + | 0.0806439i | ||||
\(71\) | 7.83003 | + | 7.83003i | 0.929253 | + | 0.929253i | 0.997658 | − | 0.0684044i | \(-0.0217908\pi\) |
−0.0684044 | + | 0.997658i | \(0.521791\pi\) | |||||||
\(72\) | −3.33201 | + | 7.80370i | −0.392681 | + | 0.919675i | ||||
\(73\) | −5.95511 | + | 5.95511i | −0.696993 | + | 0.696993i | −0.963761 | − | 0.266768i | \(-0.914044\pi\) |
0.266768 | + | 0.963761i | \(0.414044\pi\) | |||||||
\(74\) | 8.03759 | − | 5.46834i | 0.934351 | − | 0.635682i | ||||
\(75\) | 0.231080 | + | 1.57525i | 0.0266828 | + | 0.181894i | ||||
\(76\) | 8.95824 | + | 8.66342i | 1.02758 | + | 0.993762i | ||||
\(77\) | −5.48169 | − | 4.20625i | −0.624697 | − | 0.479347i | ||||
\(78\) | 1.38424 | + | 6.20563i | 0.156735 | + | 0.702649i | ||||
\(79\) | 0.917276 | − | 1.58877i | 0.103202 | − | 0.178750i | −0.809800 | − | 0.586705i | \(-0.800425\pi\) |
0.913002 | + | 0.407955i | \(0.133758\pi\) | |||||||
\(80\) | 6.57157 | + | 4.70183i | 0.734724 | + | 0.525680i | ||||
\(81\) | 8.04610 | + | 4.03241i | 0.894011 | + | 0.448045i | ||||
\(82\) | −9.78233 | + | 8.72470i | −1.08028 | + | 0.963482i | ||||
\(83\) | −2.87282 | − | 0.378214i | −0.315333 | − | 0.0415144i | −0.0288013 | − | 0.999585i | \(-0.509169\pi\) |
−0.286532 | + | 0.958071i | \(0.592502\pi\) | |||||||
\(84\) | 2.30719 | + | 3.72055i | 0.251736 | + | 0.405946i | ||||
\(85\) | −1.20122 | − | 9.12416i | −0.130290 | − | 0.989654i | ||||
\(86\) | 0.00274078 | + | 0.0370631i | 0.000295545 | + | 0.00399662i | ||||
\(87\) | 4.22711 | − | 16.7612i | 0.453193 | − | 1.79699i | ||||
\(88\) | −7.18539 | − | 13.6933i | −0.765965 | − | 1.45971i | ||||
\(89\) | −4.48131 | + | 4.48131i | −0.475018 | + | 0.475018i | −0.903534 | − | 0.428516i | \(-0.859037\pi\) |
0.428516 | + | 0.903534i | \(0.359037\pi\) | |||||||
\(90\) | 5.40291 | − | 6.65304i | 0.569516 | − | 0.701292i | ||||
\(91\) | 3.03069 | + | 1.25535i | 0.317702 | + | 0.131597i | ||||
\(92\) | 0.811504 | + | 5.45692i | 0.0846051 | + | 0.568923i | ||||
\(93\) | 2.71245 | + | 6.28451i | 0.281268 | + | 0.651674i | ||||
\(94\) | 0.689103 | + | 1.36839i | 0.0710756 | + | 0.141138i | ||||
\(95\) | −6.29368 | − | 10.9010i | −0.645718 | − | 1.11842i | ||||
\(96\) | 1.19266 | + | 9.72510i | 0.121726 | + | 0.992564i | ||||
\(97\) | −7.05812 | + | 12.2250i | −0.716644 | + | 1.24126i | 0.245678 | + | 0.969351i | \(0.420989\pi\) |
−0.962322 | + | 0.271912i | \(0.912344\pi\) | |||||||
\(98\) | −7.62835 | − | 0.435940i | −0.770580 | − | 0.0440366i | ||||
\(99\) | −14.9617 | + | 6.72118i | −1.50371 | + | 0.675504i | ||||
\(100\) | 1.14340 | + | 1.43958i | 0.114340 | + | 0.143958i | ||||
\(101\) | −9.10255 | + | 6.98463i | −0.905737 | + | 0.694997i | −0.952704 | − | 0.303900i | \(-0.901711\pi\) |
0.0469666 | + | 0.998896i | \(0.485045\pi\) | |||||||
\(102\) | 7.16176 | − | 8.55768i | 0.709120 | − | 0.847336i | ||||
\(103\) | 11.4115 | + | 3.05769i | 1.12441 | + | 0.301283i | 0.772665 | − | 0.634814i | \(-0.218923\pi\) |
0.351740 | + | 0.936098i | \(0.385590\pi\) | |||||||
\(104\) | 4.97773 | + | 5.39662i | 0.488106 | + | 0.529182i | ||||
\(105\) | −1.20736 | − | 4.25383i | −0.117826 | − | 0.415131i | ||||
\(106\) | 0.735991 | − | 0.500729i | 0.0714858 | − | 0.0486351i | ||||
\(107\) | −4.31674 | − | 1.78805i | −0.417315 | − | 0.172858i | 0.164138 | − | 0.986437i | \(-0.447516\pi\) |
−0.581453 | + | 0.813580i | \(0.697516\pi\) | |||||||
\(108\) | 10.3730 | − | 0.633485i | 0.998140 | − | 0.0609571i | ||||
\(109\) | −1.51965 | − | 3.66875i | −0.145556 | − | 0.351403i | 0.834241 | − | 0.551401i | \(-0.185906\pi\) |
−0.979796 | + | 0.199998i | \(0.935906\pi\) | |||||||
\(110\) | 3.17522 | + | 15.2932i | 0.302746 | + | 1.45815i | ||||
\(111\) | −10.3978 | − | 5.80033i | −0.986917 | − | 0.550543i | ||||
\(112\) | 4.45996 | + | 2.37970i | 0.421427 | + | 0.224860i | ||||
\(113\) | −5.90161 | − | 10.2219i | −0.555177 | − | 0.961595i | −0.997890 | − | 0.0649314i | \(-0.979317\pi\) |
0.442713 | − | 0.896664i | \(-0.354016\pi\) | |||||||
\(114\) | 4.57068 | − | 14.5625i | 0.428083 | − | 1.36390i | ||||
\(115\) | 0.727340 | − | 5.52470i | 0.0678248 | − | 0.515181i | ||||
\(116\) | −5.48788 | − | 19.1909i | −0.509537 | − | 1.78183i | ||||
\(117\) | 6.03536 | − | 4.92071i | 0.557969 | − | 0.454920i | ||||
\(118\) | 13.2388 | + | 6.39156i | 1.21873 | + | 0.588391i | ||||
\(119\) | −1.49011 | − | 5.56118i | −0.136599 | − | 0.509793i | ||||
\(120\) | 1.54248 | − | 9.77547i | 0.140808 | − | 0.892374i | ||||
\(121\) | 4.88958 | − | 18.2482i | 0.444507 | − | 1.65892i | ||||
\(122\) | −1.83331 | + | 2.12610i | −0.165980 | + | 0.192488i | ||||
\(123\) | 14.9207 | + | 5.92398i | 1.34536 | + | 0.534147i | ||||
\(124\) | 6.35011 | + | 4.70596i | 0.570257 | + | 0.422607i | ||||
\(125\) | −4.57589 | − | 11.0472i | −0.409280 | − | 0.988089i | ||||
\(126\) | 2.80789 | − | 4.56774i | 0.250146 | − | 0.406927i | ||||
\(127\) | − | 5.23044i | − | 0.464126i | −0.972701 | − | 0.232063i | \(-0.925452\pi\) | ||
0.972701 | − | 0.232063i | \(-0.0745476\pi\) | |||||||
\(128\) | 6.82528 | + | 9.02306i | 0.603275 | + | 0.797533i | ||||
\(129\) | 0.0390786 | − | 0.0233375i | 0.00344068 | − | 0.00205476i | ||||
\(130\) | −3.33532 | − | 6.62311i | −0.292527 | − | 0.580885i | ||||
\(131\) | −4.01381 | − | 3.07990i | −0.350688 | − | 0.269092i | 0.418363 | − | 0.908280i | \(-0.362604\pi\) |
−0.769051 | + | 0.639188i | \(0.779271\pi\) | |||||||
\(132\) | −11.0509 | + | 15.3812i | −0.961857 | + | 1.33876i | ||||
\(133\) | −4.79381 | − | 6.24742i | −0.415676 | − | 0.541720i | ||||
\(134\) | 1.24966 | − | 0.435894i | 0.107954 | − | 0.0376555i | ||||
\(135\) | −10.2494 | − | 2.26543i | −0.882124 | − | 0.194977i | ||||
\(136\) | 2.19592 | − | 12.6969i | 0.188299 | − | 1.08875i | ||||
\(137\) | −4.49163 | + | 1.20353i | −0.383746 | + | 0.102824i | −0.445534 | − | 0.895265i | \(-0.646986\pi\) |
0.0617885 | + | 0.998089i | \(0.480320\pi\) | |||||||
\(138\) | 5.52982 | − | 3.88277i | 0.470729 | − | 0.330523i | ||||
\(139\) | 0.223667 | − | 0.0294464i | 0.0189712 | − | 0.00249761i | −0.121035 | − | 0.992648i | \(-0.538621\pi\) |
0.140006 | + | 0.990151i | \(0.455288\pi\) | |||||||
\(140\) | −3.67032 | − | 3.54953i | −0.310199 | − | 0.299990i | ||||
\(141\) | 1.12021 | − | 1.50537i | 0.0943390 | − | 0.126775i | ||||
\(142\) | −3.18349 | − | 15.3331i | −0.267153 | − | 1.28672i | ||||
\(143\) | 14.1916i | 1.18676i | ||||||||
\(144\) | 9.99414 | − | 6.64207i | 0.832845 | − | 0.553506i | ||||
\(145\) | 20.1608i | 1.67426i | ||||||||
\(146\) | 11.6615 | − | 2.42120i | 0.965115 | − | 0.200380i | ||||
\(147\) | 3.70834 | + | 8.59191i | 0.305859 | + | 0.708649i | ||||
\(148\) | −13.7462 | + | 0.229986i | −1.12993 | + | 0.0189047i | ||||
\(149\) | 15.0440 | − | 1.98058i | 1.23245 | − | 0.162256i | 0.513975 | − | 0.857805i | \(-0.328172\pi\) |
0.718478 | + | 0.695549i | \(0.244839\pi\) | |||||||
\(150\) | 0.948901 | − | 2.04187i | 0.0774774 | − | 0.166718i | ||||
\(151\) | 19.5206 | − | 5.23053i | 1.58857 | − | 0.425655i | 0.647002 | − | 0.762489i | \(-0.276023\pi\) |
0.941564 | + | 0.336834i | \(0.109356\pi\) | |||||||
\(152\) | −3.87093 | − | 17.1938i | −0.313974 | − | 1.39460i | ||||
\(153\) | −13.2999 | − | 3.14622i | −1.07524 | − | 0.254357i | ||||
\(154\) | 3.21825 | + | 9.22637i | 0.259334 | + | 0.743482i | ||||
\(155\) | −4.85988 | − | 6.33351i | −0.390355 | − | 0.508720i | ||||
\(156\) | 3.17779 | − | 8.41151i | 0.254427 | − | 0.673460i | ||||
\(157\) | 4.83053 | + | 3.70660i | 0.385519 | + | 0.295819i | 0.783279 | − | 0.621671i | \(-0.213546\pi\) |
−0.397760 | + | 0.917489i | \(0.630212\pi\) | |||||||
\(158\) | −2.31721 | + | 1.16692i | −0.184347 | + | 0.0928350i | ||||
\(159\) | −0.952114 | − | 0.531129i | −0.0755075 | − | 0.0421212i | ||||
\(160\) | −4.12244 | − | 10.6579i | −0.325907 | − | 0.842581i | ||||
\(161\) | − | 3.48609i | − | 0.274743i | ||||||
\(162\) | −6.38529 | − | 11.0104i | −0.501675 | − | 0.865056i | ||||
\(163\) | 5.58820 | + | 13.4911i | 0.437702 | + | 1.05671i | 0.976741 | + | 0.214424i | \(0.0687875\pi\) |
−0.539039 | + | 0.842281i | \(0.681212\pi\) | |||||||
\(164\) | 18.3356 | − | 2.72670i | 1.43177 | − | 0.212920i | ||||
\(165\) | 15.0032 | − | 11.8681i | 1.16800 | − | 0.923932i | ||||
\(166\) | 3.10341 | + | 2.67603i | 0.240871 | + | 0.207700i | ||||
\(167\) | −3.85581 | + | 14.3901i | −0.298371 | + | 1.11354i | 0.640131 | + | 0.768265i | \(0.278880\pi\) |
−0.938503 | + | 0.345272i | \(0.887787\pi\) | |||||||
\(168\) | 0.158483 | − | 6.18920i | 0.0122272 | − | 0.477507i | ||||
\(169\) | 1.62081 | + | 6.04896i | 0.124678 | + | 0.465305i | ||||
\(170\) | −5.65849 | + | 11.7204i | −0.433986 | + | 0.898915i | ||||
\(171\) | −18.4532 | + | 2.98574i | −1.41115 | + | 0.228325i | ||||
\(172\) | 0.0255141 | − | 0.0459501i | 0.00194543 | − | 0.00350366i | ||||
\(173\) | −2.20950 | + | 16.7828i | −0.167985 | + | 1.27597i | 0.674912 | + | 0.737898i | \(0.264182\pi\) |
−0.842897 | + | 0.538075i | \(0.819152\pi\) | |||||||
\(174\) | −18.0020 | + | 16.5390i | −1.36473 | + | 1.25382i | ||||
\(175\) | −0.580837 | − | 1.00604i | −0.0439071 | − | 0.0760494i | ||||
\(176\) | −2.12761 | + | 21.7656i | −0.160374 | + | 1.64065i | ||||
\(177\) | −0.265657 | − | 18.0030i | −0.0199680 | − | 1.35319i | ||||
\(178\) | 8.77547 | − | 1.82199i | 0.657750 | − | 0.136564i | ||||
\(179\) | 7.45450 | + | 17.9968i | 0.557176 | + | 1.34514i | 0.911993 | + | 0.410206i | \(0.134543\pi\) |
−0.354817 | + | 0.934936i | \(0.615457\pi\) | |||||||
\(180\) | −11.5501 | + | 3.67485i | −0.860891 | + | 0.273907i | ||||
\(181\) | −16.1706 | − | 6.69808i | −1.20195 | − | 0.497865i | −0.310322 | − | 0.950631i | \(-0.600437\pi\) |
−0.891629 | + | 0.452767i | \(0.850437\pi\) | |||||||
\(182\) | −2.60956 | − | 3.83564i | −0.193434 | − | 0.284317i | ||||
\(183\) | 3.33392 | + | 0.840801i | 0.246451 | + | 0.0621538i | ||||
\(184\) | 3.27413 | − | 7.08189i | 0.241372 | − | 0.522084i | ||||
\(185\) | 13.4131 | + | 3.59404i | 0.986152 | + | 0.264239i | ||||
\(186\) | 1.66851 | − | 9.53525i | 0.122341 | − | 0.699159i | ||||
\(187\) | 19.7604 | − | 15.1627i | 1.44502 | − | 1.10880i | ||||
\(188\) | 0.246839 | − | 2.15262i | 0.0180026 | − | 0.156996i | ||||
\(189\) | −6.54216 | − | 0.568196i | −0.475872 | − | 0.0413302i | ||||
\(190\) | −1.01563 | + | 17.7722i | −0.0736819 | + | 1.28933i | ||||
\(191\) | −9.08076 | + | 15.7283i | −0.657061 | + | 1.13806i | 0.324312 | + | 0.945950i | \(0.394867\pi\) |
−0.981373 | + | 0.192113i | \(0.938466\pi\) | |||||||
\(192\) | 6.13483 | − | 12.4243i | 0.442743 | − | 0.896648i | ||||
\(193\) | 4.03491 | + | 6.98867i | 0.290439 | + | 0.503055i | 0.973914 | − | 0.226919i | \(-0.0728653\pi\) |
−0.683475 | + | 0.729974i | \(0.739532\pi\) | |||||||
\(194\) | 17.8301 | − | 8.97903i | 1.28013 | − | 0.644657i | ||||
\(195\) | −5.42193 | + | 7.28612i | −0.388273 | + | 0.521770i | ||||
\(196\) | 8.68160 | + | 6.43378i | 0.620114 | + | 0.459555i | ||||
\(197\) | 10.2940 | + | 4.26391i | 0.733417 | + | 0.303791i | 0.717955 | − | 0.696089i | \(-0.245078\pi\) |
0.0154617 | + | 0.999880i | \(0.495078\pi\) | |||||||
\(198\) | 22.9053 | + | 3.66060i | 1.62781 | + | 0.260148i | ||||
\(199\) | 3.30532 | − | 3.30532i | 0.234308 | − | 0.234308i | −0.580180 | − | 0.814488i | \(-0.697018\pi\) |
0.814488 | + | 0.580180i | \(0.197018\pi\) | |||||||
\(200\) | −0.235084 | − | 2.58926i | −0.0166229 | − | 0.183088i | ||||
\(201\) | −1.16297 | − | 1.12915i | −0.0820297 | − | 0.0796440i | ||||
\(202\) | 16.1818 | − | 1.19663i | 1.13855 | − | 0.0841943i | ||||
\(203\) | 1.64628 | + | 12.5047i | 0.115546 | + | 0.877660i | ||||
\(204\) | −15.1074 | + | 4.56233i | −1.05773 | + | 0.319427i | ||||
\(205\) | −18.5633 | − | 2.44391i | −1.29652 | − | 0.170690i | ||||
\(206\) | −11.1207 | − | 12.4688i | −0.774818 | − | 0.868743i | ||||
\(207\) | −7.28567 | − | 3.92444i | −0.506389 | − | 0.272767i | ||||
\(208\) | −1.69883 | − | 10.2429i | −0.117792 | − | 0.710216i | ||||
\(209\) | 17.0337 | − | 29.5032i | 1.17825 | − | 2.04078i | ||||
\(210\) | −1.87267 | + | 5.96646i | −0.129227 | + | 0.411725i | ||||
\(211\) | 6.31725 | + | 4.84739i | 0.434897 | + | 0.333708i | 0.802897 | − | 0.596117i | \(-0.203291\pi\) |
−0.368000 | + | 0.929826i | \(0.619957\pi\) | |||||||
\(212\) | −1.25872 | + | 0.0210595i | −0.0864494 | + | 0.00144637i | ||||
\(213\) | −15.0422 | + | 11.8990i | −1.03068 | + | 0.815308i | ||||
\(214\) | 3.71692 | + | 5.46327i | 0.254083 | + | 0.373462i | ||||
\(215\) | −0.0375378 | + | 0.0375378i | −0.00256006 | + | 0.00256006i | ||||
\(216\) | −12.7566 | − | 7.29865i | −0.867974 | − | 0.496610i | ||||
\(217\) | −3.53152 | − | 3.53152i | −0.239735 | − | 0.239735i | ||||
\(218\) | −1.04949 | + | 5.51695i | −0.0710807 | + | 0.373655i | ||||
\(219\) | −9.04977 | − | 11.4403i | −0.611527 | − | 0.773067i | ||||
\(220\) | 8.11058 | − | 20.5463i | 0.546815 | − | 1.38523i | ||||
\(221\) | −7.19869 | + | 9.38152i | −0.484236 | + | 0.631069i | ||||
\(222\) | 7.79436 | + | 14.9253i | 0.523123 | + | 1.00172i | ||||
\(223\) | −18.0899 | − | 10.4442i | −1.21139 | − | 0.699398i | −0.248330 | − | 0.968676i | \(-0.579882\pi\) |
−0.963063 | + | 0.269278i | \(0.913215\pi\) | |||||||
\(224\) | −3.42725 | − | 6.27395i | −0.228993 | − | 0.419196i | ||||
\(225\) | −2.75642 | + | 0.0813667i | −0.183761 | + | 0.00542444i | ||||
\(226\) | −0.952365 | + | 16.6651i | −0.0633504 | + | 1.10855i | ||||
\(227\) | −2.47554 | + | 18.8036i | −0.164307 | + | 1.24804i | 0.688278 | + | 0.725447i | \(0.258367\pi\) |
−0.852585 | + | 0.522589i | \(0.824966\pi\) | |||||||
\(228\) | −16.7024 | + | 13.6727i | −1.10615 | + | 0.905497i | ||||
\(229\) | −0.759987 | + | 0.100054i | −0.0502214 | + | 0.00661177i | −0.155595 | − | 0.987821i | \(-0.549729\pi\) |
0.105374 | + | 0.994433i | \(0.466396\pi\) | |||||||
\(230\) | −5.14625 | + | 5.96814i | −0.339334 | + | 0.393528i | ||||
\(231\) | 8.33662 | − | 8.58634i | 0.548509 | − | 0.564940i | ||||
\(232\) | −8.40004 | + | 26.9492i | −0.551490 | + | 1.76930i | ||||
\(233\) | 0.724953 | + | 0.724953i | 0.0474933 | + | 0.0474933i | 0.730455 | − | 0.682961i | \(-0.239308\pi\) |
−0.682961 | + | 0.730455i | \(0.739308\pi\) | |||||||
\(234\) | −10.9539 | + | 1.13585i | −0.716078 | + | 0.0742531i | ||||
\(235\) | −0.837502 | + | 2.02191i | −0.0546326 | + | 0.131895i | ||||
\(236\) | −10.6949 | − | 17.8285i | −0.696179 | − | 1.16054i | ||||
\(237\) | 2.54918 | + | 1.89696i | 0.165587 | + | 0.123221i | ||||
\(238\) | −2.55262 | + | 7.73166i | −0.165462 | + | 0.501169i | ||||
\(239\) | 25.5871 | − | 14.7727i | 1.65509 | − | 0.955567i | 0.680159 | − | 0.733065i | \(-0.261911\pi\) |
0.974932 | − | 0.222503i | \(-0.0714226\pi\) | |||||||
\(240\) | −9.40796 | + | 10.3619i | −0.607281 | + | 0.668856i | ||||
\(241\) | 12.3171 | + | 7.11131i | 0.793417 | + | 0.458080i | 0.841164 | − | 0.540780i | \(-0.181871\pi\) |
−0.0477470 | + | 0.998859i | \(0.515204\pi\) | |||||||
\(242\) | −19.9390 | + | 17.7832i | −1.28173 | + | 1.14315i | ||||
\(243\) | −8.55226 | + | 13.0330i | −0.548628 | + | 0.836067i | ||||
\(244\) | 3.81721 | − | 1.09158i | 0.244372 | − | 0.0698811i | ||||
\(245\) | −6.64421 | − | 8.65890i | −0.424483 | − | 0.553197i | ||||
\(246\) | −13.0463 | − | 18.5805i | −0.831804 | − | 1.18465i | ||||
\(247\) | −4.18613 | + | 15.6229i | −0.266357 | + | 0.994059i | ||||
\(248\) | −3.85739 | − | 10.4910i | −0.244944 | − | 0.666178i | ||||
\(249\) | 1.22729 | − | 4.86643i | 0.0777766 | − | 0.308398i | ||||
\(250\) | −3.16019 | + | 16.6124i | −0.199868 | + | 1.05066i | ||||
\(251\) | 4.38515 | − | 10.5867i | 0.276788 | − | 0.668226i | −0.722955 | − | 0.690896i | \(-0.757216\pi\) |
0.999743 | + | 0.0226692i | \(0.00721646\pi\) | |||||||
\(252\) | −6.86386 | + | 3.22248i | −0.432383 | + | 0.202997i | ||||
\(253\) | 13.9335 | − | 5.77144i | 0.875990 | − | 0.362847i | ||||
\(254\) | −4.05794 | + | 6.18450i | −0.254618 | + | 0.388050i | ||||
\(255\) | 15.9381 | − | 0.235188i | 0.998085 | − | 0.0147280i | ||||
\(256\) | −1.06987 | − | 15.9642i | −0.0668672 | − | 0.997762i | ||||
\(257\) | 1.50445 | − | 0.868593i | 0.0938448 | − | 0.0541813i | −0.452343 | − | 0.891844i | \(-0.649412\pi\) |
0.546188 | + | 0.837663i | \(0.316078\pi\) | |||||||
\(258\) | −0.0643129 | − | 0.00272399i | −0.00400394 | − | 0.000169588i | ||||
\(259\) | 8.61299 | + | 1.13392i | 0.535185 | + | 0.0704584i | ||||
\(260\) | −1.19472 | + | 10.4189i | −0.0740934 | + | 0.646150i | ||||
\(261\) | 27.9872 | + | 10.6365i | 1.73237 | + | 0.658382i | ||||
\(262\) | 2.35647 | + | 6.75574i | 0.145583 | + | 0.417371i | ||||
\(263\) | 6.25459 | − | 1.67591i | 0.385674 | − | 0.103341i | −0.0607717 | − | 0.998152i | \(-0.519356\pi\) |
0.446446 | + | 0.894811i | \(0.352689\pi\) | |||||||
\(264\) | 24.9998 | − | 9.61316i | 1.53863 | − | 0.591649i | ||||
\(265\) | 1.22822 | + | 0.329101i | 0.0754490 | + | 0.0202165i | ||||
\(266\) | 0.821289 | + | 11.1062i | 0.0503565 | + | 0.680964i | ||||
\(267\) | −6.81009 | − | 8.60904i | −0.416771 | − | 0.526864i | ||||
\(268\) | −1.81579 | − | 0.454123i | −0.110917 | − | 0.0277400i | ||||
\(269\) | −15.5138 | + | 6.42603i | −0.945894 | + | 0.391802i | −0.801686 | − | 0.597745i | \(-0.796063\pi\) |
−0.144208 | + | 0.989547i | \(0.546063\pi\) | |||||||
\(270\) | 10.3613 | + | 10.6304i | 0.630569 | + | 0.646948i | ||||
\(271\) | −13.3512 | −0.811026 | −0.405513 | − | 0.914089i | \(-0.632907\pi\) | ||||
−0.405513 | + | 0.914089i | \(0.632907\pi\) | |||||||
\(272\) | −12.4471 | + | 13.3092i | −0.754717 | + | 0.806989i | ||||
\(273\) | −2.76799 | + | 4.96197i | −0.167526 | + | 0.300312i | ||||
\(274\) | 6.24466 | + | 2.06169i | 0.377254 | + | 0.124551i | ||||
\(275\) | 3.05940 | − | 3.98709i | 0.184489 | − | 0.240431i | ||||
\(276\) | −9.55087 | + | 0.300804i | −0.574895 | + | 0.0181063i | ||||
\(277\) | 18.3468 | − | 14.0780i | 1.10235 | − | 0.845864i | 0.113318 | − | 0.993559i | \(-0.463852\pi\) |
0.989033 | + | 0.147695i | \(0.0471853\pi\) | |||||||
\(278\) | −0.287311 | − | 0.138711i | −0.0172318 | − | 0.00831931i | ||||
\(279\) | −11.3562 | + | 3.40504i | −0.679878 | + | 0.203854i | ||||
\(280\) | 1.58597 | + | 7.04453i | 0.0947801 | + | 0.420991i | ||||
\(281\) | 0.251777 | + | 0.939646i | 0.0150198 | + | 0.0560546i | 0.973029 | − | 0.230683i | \(-0.0740960\pi\) |
−0.958009 | + | 0.286737i | \(0.907429\pi\) | |||||||
\(282\) | −2.49246 | + | 0.910863i | −0.148424 | + | 0.0542411i | ||||
\(283\) | 2.47527 | + | 18.8016i | 0.147140 | + | 1.11764i | 0.892523 | + | 0.451001i | \(0.148933\pi\) |
−0.745384 | + | 0.666635i | \(0.767734\pi\) | |||||||
\(284\) | −8.13169 | + | 20.5998i | −0.482527 | + | 1.22237i | ||||
\(285\) | 20.0171 | − | 8.63953i | 1.18571 | − | 0.511762i | ||||
\(286\) | 11.0103 | − | 16.7802i | 0.651052 | − | 0.992236i | ||||
\(287\) | −11.7135 | −0.691425 | ||||||||
\(288\) | −16.9703 | + | 0.0998504i | −0.999983 | + | 0.00588374i | ||||
\(289\) | 3.75411 | 0.220830 | ||||||||
\(290\) | 15.6414 | − | 23.8382i | 0.918492 | − | 1.39983i | ||||
\(291\) | −19.6150 | − | 14.5964i | −1.14985 | − | 0.855657i | ||||
\(292\) | −15.6671 | − | 6.18454i | −0.916848 | − | 0.361923i | ||||
\(293\) | −3.58108 | − | 27.2010i | −0.209209 | − | 1.58910i | −0.697609 | − | 0.716479i | \(-0.745753\pi\) |
0.488400 | − | 0.872620i | \(-0.337581\pi\) | |||||||
\(294\) | 2.28112 | − | 13.0362i | 0.133037 | − | 0.760285i | ||||
\(295\) | 5.43500 | + | 20.2837i | 0.316438 | + | 1.18096i | ||||
\(296\) | 16.4320 | + | 10.3928i | 0.955093 | + | 0.604070i | ||||
\(297\) | −8.55993 | − | 27.0889i | −0.496698 | − | 1.57186i | ||||
\(298\) | −19.3247 | − | 9.32977i | −1.11945 | − | 0.540459i | ||||
\(299\) | −5.68053 | + | 4.35882i | −0.328513 | + | 0.252077i | ||||
\(300\) | −2.70613 | + | 1.67813i | −0.156239 | + | 0.0968869i | ||||
\(301\) | −0.0202176 | + | 0.0263481i | −0.00116532 | + | 0.00151868i | ||||
\(302\) | −27.1393 | − | 8.96010i | −1.56169 | − | 0.515596i | ||||
\(303\) | −10.1892 | − | 17.0618i | −0.585354 | − | 0.980174i | ||||
\(304\) | −8.76246 | + | 23.3332i | −0.502562 | + | 1.33825i | ||||
\(305\) | −4.01011 | −0.229618 | ||||||||
\(306\) | 13.2850 | + | 14.0386i | 0.759452 | + | 0.802535i | ||||
\(307\) | 3.72231 | − | 1.54183i | 0.212443 | − | 0.0879969i | −0.273924 | − | 0.961751i | \(-0.588322\pi\) |
0.486367 | + | 0.873754i | \(0.338322\pi\) | |||||||
\(308\) | 3.35284 | − | 13.4061i | 0.191046 | − | 0.763885i | ||||
\(309\) | −7.55086 | + | 19.0183i | −0.429554 | + | 1.08192i | ||||
\(310\) | 0.832607 | + | 11.2592i | 0.0472889 | + | 0.639481i | ||||
\(311\) | 19.3019 | + | 5.17192i | 1.09451 | + | 0.293273i | 0.760527 | − | 0.649306i | \(-0.224941\pi\) |
0.333982 | + | 0.942579i | \(0.391607\pi\) | |||||||
\(312\) | −10.2834 | + | 7.48040i | −0.582180 | + | 0.423494i | ||||
\(313\) | −11.3791 | + | 3.04903i | −0.643186 | + | 0.172341i | −0.565646 | − | 0.824648i | \(-0.691373\pi\) |
−0.0775400 | + | 0.996989i | \(0.524707\pi\) | |||||||
\(314\) | −2.83596 | − | 8.13039i | −0.160042 | − | 0.458824i | ||||
\(315\) | 7.56055 | − | 1.22330i | 0.425989 | − | 0.0689251i | ||||
\(316\) | 3.64522 | + | 0.417994i | 0.205059 | + | 0.0235140i | ||||
\(317\) | 2.87683 | + | 0.378742i | 0.161579 | + | 0.0212722i | 0.210881 | − | 0.977512i | \(-0.432367\pi\) |
−0.0493027 | + | 0.998784i | \(0.515700\pi\) | |||||||
\(318\) | 0.713719 | + | 1.36669i | 0.0400234 | + | 0.0766402i | ||||
\(319\) | −47.2544 | + | 27.2823i | −2.64574 | + | 1.52752i | ||||
\(320\) | −3.39434 | + | 15.8003i | −0.189749 | + | 0.883263i | ||||
\(321\) | 3.94257 | − | 7.06755i | 0.220053 | − | 0.394472i | ||||
\(322\) | −2.70462 | + | 4.12198i | −0.150723 | + | 0.229709i | ||||
\(323\) | 26.2259 | − | 10.8631i | 1.45925 | − | 0.604440i | ||||
\(324\) | −0.992189 | + | 17.9726i | −0.0551216 | + | 0.998480i | ||||
\(325\) | −0.913076 | + | 2.20436i | −0.0506483 | + | 0.122276i | ||||
\(326\) | 3.85931 | − | 20.2875i | 0.213747 | − | 1.12362i | ||||
\(327\) | 6.61667 | − | 1.87800i | 0.365903 | − | 0.103853i | ||||
\(328\) | −23.7956 | − | 11.0013i | −1.31389 | − | 0.607443i | ||||
\(329\) | −0.354357 | + | 1.32248i | −0.0195363 | + | 0.0729106i | ||||
\(330\) | −26.9475 | + | 2.39300i | −1.48341 | + | 0.131730i | ||||
\(331\) | −14.9631 | − | 19.5003i | −0.822446 | − | 1.07183i | −0.996204 | − | 0.0870444i | \(-0.972258\pi\) |
0.173758 | − | 0.984788i | \(-0.444409\pi\) | |||||||
\(332\) | −1.59335 | − | 5.57188i | −0.0874462 | − | 0.305796i | ||||
\(333\) | 12.0658 | − | 16.7240i | 0.661201 | − | 0.916469i | ||||
\(334\) | 15.7234 | − | 14.0235i | 0.860347 | − | 0.767329i | ||||
\(335\) | 1.63724 | + | 0.945261i | 0.0894520 | + | 0.0516451i | ||||
\(336\) | −4.98917 | + | 7.19520i | −0.272182 | + | 0.392530i | ||||
\(337\) | −23.5217 | + | 13.5803i | −1.28131 | + | 0.739765i | −0.977088 | − | 0.212835i | \(-0.931730\pi\) |
−0.304223 | + | 0.952601i | \(0.598397\pi\) | |||||||
\(338\) | 2.77651 | − | 8.40981i | 0.151023 | − | 0.457433i | ||||
\(339\) | 18.7701 | − | 8.10133i | 1.01945 | − | 0.440004i | ||||
\(340\) | 15.7837 | − | 9.46826i | 0.855991 | − | 0.513488i | ||||
\(341\) | 8.26841 | − | 19.9617i | 0.447759 | − | 1.08099i | ||||
\(342\) | 24.1356 | + | 10.7862i | 1.30511 | + | 0.583253i | ||||
\(343\) | −11.0835 | − | 11.0835i | −0.598455 | − | 0.598455i | ||||
\(344\) | −0.0658175 | + | 0.0345371i | −0.00354864 | + | 0.00186211i | ||||
\(345\) | 9.35860 | + | 2.36020i | 0.503850 | + | 0.127069i | ||||
\(346\) | 15.6332 | − | 18.1299i | 0.840444 | − | 0.974669i | ||||
\(347\) | −29.3045 | + | 3.85801i | −1.57315 | + | 0.207109i | −0.866033 | − | 0.499988i | \(-0.833338\pi\) |
−0.707117 | + | 0.707097i | \(0.750005\pi\) | |||||||
\(348\) | 34.1172 | − | 5.58932i | 1.82888 | − | 0.299619i | ||||
\(349\) | −2.15904 | + | 16.3995i | −0.115571 | + | 0.877847i | 0.831208 | + | 0.555962i | \(0.187650\pi\) |
−0.946779 | + | 0.321885i | \(0.895683\pi\) | |||||||
\(350\) | −0.0937318 | + | 1.64018i | −0.00501017 | + | 0.0876712i | ||||
\(351\) | 7.25410 | + | 11.3708i | 0.387195 | + | 0.606928i | ||||
\(352\) | 19.4022 | − | 24.0852i | 1.03414 | − | 1.28374i | ||||
\(353\) | 1.37659 | + | 0.794772i | 0.0732682 | + | 0.0423014i | 0.536187 | − | 0.844099i | \(-0.319864\pi\) |
−0.462918 | + | 0.886401i | \(0.653198\pi\) | |||||||
\(354\) | −13.6532 | + | 21.4930i | −0.725658 | + | 1.14234i | ||||
\(355\) | 13.6175 | − | 17.7467i | 0.722742 | − | 0.941896i | ||||
\(356\) | −11.7897 | − | 4.65396i | −0.624855 | − | 0.246660i | ||||
\(357\) | 9.86645 | − | 1.44735i | 0.522188 | − | 0.0766017i | ||||
\(358\) | 5.14821 | − | 27.0629i | 0.272091 | − | 1.43032i | ||||
\(359\) | 6.51734 | + | 6.51734i | 0.343972 | + | 0.343972i | 0.857858 | − | 0.513886i | \(-0.171795\pi\) |
−0.513886 | + | 0.857858i | \(0.671795\pi\) | |||||||
\(360\) | 16.5079 | + | 4.61575i | 0.870045 | + | 0.243271i | ||||
\(361\) | 14.0193 | − | 14.0193i | 0.737855 | − | 0.737855i | ||||
\(362\) | 13.9236 | + | 20.4655i | 0.731810 | + | 1.07564i | ||||
\(363\) | 30.4124 | + | 12.0746i | 1.59624 | + | 0.633754i | ||||
\(364\) | 0.109752 | + | 6.55987i | 0.00575257 | + | 0.343830i | ||||
\(365\) | 13.4972 | + | 10.3568i | 0.706476 | + | 0.542098i | ||||
\(366\) | −3.28973 | − | 3.58073i | −0.171957 | − | 0.187168i | ||||
\(367\) | −6.35270 | + | 11.0032i | −0.331608 | + | 0.574362i | −0.982827 | − | 0.184527i | \(-0.940925\pi\) |
0.651219 | + | 0.758890i | \(0.274258\pi\) | |||||||
\(368\) | −9.36570 | + | 5.83350i | −0.488221 | + | 0.304092i | ||||
\(369\) | −13.1863 | + | 24.4803i | −0.686453 | + | 1.27439i | ||||
\(370\) | −13.0714 | − | 14.6559i | −0.679550 | − | 0.761926i | ||||
\(371\) | 0.788679 | + | 0.103832i | 0.0409462 | + | 0.00539067i | ||||
\(372\) | −9.37061 | + | 9.98006i | −0.485844 | + | 0.517442i | ||||
\(373\) | −2.74555 | − | 20.8545i | −0.142159 | − | 1.07981i | −0.902625 | − | 0.430428i | \(-0.858363\pi\) |
0.760466 | − | 0.649378i | \(-0.224971\pi\) | |||||||
\(374\) | −35.1285 | + | 2.59771i | −1.81645 | + | 0.134324i | ||||
\(375\) | 19.9238 | − | 5.65493i | 1.02886 | − | 0.292019i | ||||
\(376\) | −1.96193 | + | 2.35376i | −0.101179 | + | 0.121386i | ||||
\(377\) | 18.3178 | − | 18.3178i | 0.943416 | − | 0.943416i | ||||
\(378\) | 7.29467 | + | 5.74746i | 0.375197 | + | 0.295617i | ||||
\(379\) | 13.5241 | + | 5.60185i | 0.694685 | + | 0.287748i | 0.701950 | − | 0.712226i | \(-0.252313\pi\) |
−0.00726571 | + | 0.999974i | \(0.502313\pi\) | |||||||
\(380\) | 14.9892 | − | 20.2260i | 0.768927 | − | 1.03757i | ||||
\(381\) | 8.99835 | + | 1.04983i | 0.460999 | + | 0.0537846i | ||||
\(382\) | 22.9397 | − | 11.5521i | 1.17370 | − | 0.591059i | ||||
\(383\) | 2.34591 | + | 4.06324i | 0.119870 | + | 0.207622i | 0.919716 | − | 0.392584i | \(-0.128419\pi\) |
−0.799846 | + | 0.600206i | \(0.795085\pi\) | |||||||
\(384\) | −16.8930 | + | 9.93101i | −0.862070 | + | 0.506790i | ||||
\(385\) | −6.97895 | + | 12.0879i | −0.355680 | + | 0.616057i | ||||
\(386\) | 0.651128 | − | 11.3939i | 0.0331415 | − | 0.579932i | ||||
\(387\) | 0.0323058 | + | 0.0719144i | 0.00164219 | + | 0.00365562i | ||||
\(388\) | −28.0487 | − | 3.21632i | −1.42396 | − | 0.163284i | ||||
\(389\) | −14.9116 | + | 11.4421i | −0.756048 | + | 0.580136i | −0.913235 | − | 0.407433i | \(-0.866424\pi\) |
0.157187 | + | 0.987569i | \(0.449757\pi\) | |||||||
\(390\) | 12.0637 | − | 4.40865i | 0.610871 | − | 0.223241i | ||||
\(391\) | 12.1385 | + | 3.25249i | 0.613868 | + | 0.164485i | ||||
\(392\) | −5.27365 | − | 14.3428i | −0.266359 | − | 0.724421i | ||||
\(393\) | 6.10425 | − | 6.28710i | 0.307918 | − | 0.317142i | ||||
\(394\) | −8.86361 | − | 13.0281i | −0.446542 | − | 0.656346i | ||||
\(395\) | −3.42387 | − | 1.41821i | −0.172274 | − | 0.0713581i | ||||
\(396\) | −24.2434 | − | 22.0990i | −1.21828 | − | 1.11052i | ||||
\(397\) | 10.0842 | + | 24.3455i | 0.506113 | + | 1.22186i | 0.946104 | + | 0.323863i | \(0.104982\pi\) |
−0.439991 | + | 0.898002i | \(0.645018\pi\) | |||||||
\(398\) | −6.47261 | + | 1.34386i | −0.324443 | + | 0.0673617i | ||||
\(399\) | 11.7101 | − | 6.99323i | 0.586240 | − | 0.350099i | ||||
\(400\) | −1.73086 | + | 3.24394i | −0.0865432 | + | 0.162197i | ||||
\(401\) | 2.77190 | + | 4.80107i | 0.138422 | + | 0.239754i | 0.926900 | − | 0.375310i | \(-0.122464\pi\) |
−0.788477 | + | 0.615064i | \(0.789130\pi\) | |||||||
\(402\) | 0.499076 | + | 2.23738i | 0.0248917 | + | 0.111591i | ||||
\(403\) | −1.33893 | + | 10.1702i | −0.0666968 | + | 0.506613i | ||||
\(404\) | −20.0619 | − | 11.1395i | −0.998115 | − | 0.554209i | ||||
\(405\) | 5.95461 | − | 17.1781i | 0.295887 | − | 0.853586i | ||||
\(406\) | 7.75500 | − | 16.0629i | 0.384874 | − | 0.797189i | ||||
\(407\) | 9.72717 | + | 36.3023i | 0.482158 | + | 1.79944i | ||||
\(408\) | 21.4027 | + | 6.32629i | 1.05959 | + | 0.313198i | ||||
\(409\) | 0.597440 | − | 2.22968i | 0.0295415 | − | 0.110250i | −0.949581 | − | 0.313522i | \(-0.898491\pi\) |
0.979122 | + | 0.203272i | \(0.0651576\pi\) | |||||||
\(410\) | 20.0533 | + | 17.2917i | 0.990363 | + | 0.853976i | ||||
\(411\) | −1.16899 | − | 7.96888i | −0.0576618 | − | 0.393076i | ||||
\(412\) | 3.47553 | + | 23.3710i | 0.171227 | + | 1.15141i | ||||
\(413\) | 5.02739 | + | 12.1372i | 0.247382 | + | 0.597232i | ||||
\(414\) | 5.56992 | + | 10.2927i | 0.273747 | + | 0.505860i | ||||
\(415\) | 5.85345i | 0.287335i | ||||||||
\(416\) | −5.93805 | + | 13.4292i | −0.291137 | + | 0.658423i | ||||
\(417\) | 0.00576533 | + | 0.390704i | 0.000282330 | + | 0.0191328i | ||||
\(418\) | −43.0303 | + | 21.6695i | −2.10468 | + | 1.05989i | ||||
\(419\) | 1.83478 | + | 1.40788i | 0.0896351 | + | 0.0687794i | 0.652607 | − | 0.757697i | \(-0.273675\pi\) |
−0.562972 | + | 0.826476i | \(0.690342\pi\) | |||||||
\(420\) | 6.84323 | − | 5.60190i | 0.333916 | − | 0.273345i | ||||
\(421\) | −19.2506 | − | 25.0879i | −0.938219 | − | 1.22271i | −0.974732 | − | 0.223378i | \(-0.928292\pi\) |
0.0365128 | − | 0.999333i | \(-0.488375\pi\) | |||||||
\(422\) | −3.70879 | − | 10.6327i | −0.180541 | − | 0.517592i | ||||
\(423\) | 2.36497 | + | 2.22935i | 0.114989 | + | 0.108395i | ||||
\(424\) | 1.50466 | + | 0.951656i | 0.0730727 | + | 0.0462165i | ||||
\(425\) | 4.04491 | − | 1.08383i | 0.196207 | − | 0.0525735i | ||||
\(426\) | 27.0177 | − | 2.39923i | 1.30901 | − | 0.116243i | ||||
\(427\) | −2.48728 | + | 0.327456i | −0.120368 | + | 0.0158467i | ||||
\(428\) | −0.156325 | − | 9.34351i | −0.00755624 | − | 0.451636i | ||||
\(429\) | −24.4150 | − | 2.84848i | −1.17876 | − | 0.137526i | ||||
\(430\) | 0.0735079 | − | 0.0152619i | 0.00354487 | − | 0.000735995i | ||||
\(431\) | 15.4999i | 0.746605i | 0.927710 | + | 0.373303i | \(0.121775\pi\) | ||||
−0.927710 | + | 0.373303i | \(0.878225\pi\) | |||||||
\(432\) | 9.42091 | + | 18.5269i | 0.453264 | + | 0.891377i | ||||
\(433\) | 3.24904i | 0.156139i | 0.996948 | + | 0.0780694i | \(0.0248756\pi\) | ||||
−0.996948 | + | 0.0780694i | \(0.975124\pi\) | |||||||
\(434\) | 1.43583 | + | 6.91556i | 0.0689219 | + | 0.331958i | ||||
\(435\) | −34.6842 | − | 4.04659i | −1.66298 | − | 0.194019i | ||||
\(436\) | 5.52115 | − | 5.70904i | 0.264415 | − | 0.273414i | ||||
\(437\) | 17.0411 | − | 2.24351i | 0.815188 | − | 0.107322i | ||||
\(438\) | 1.82473 | + | 20.5482i | 0.0871888 | + | 0.981833i | ||||
\(439\) | −31.1586 | + | 8.34893i | −1.48712 | + | 0.398473i | −0.908764 | − | 0.417311i | \(-0.862973\pi\) |
−0.578357 | + | 0.815784i | \(0.696306\pi\) | |||||||
\(440\) | −25.5304 | + | 18.0016i | −1.21712 | + | 0.858192i | ||||
\(441\) | −15.5257 | + | 4.65522i | −0.739319 | + | 0.221677i | ||||
\(442\) | 15.7903 | − | 5.50779i | 0.751066 | − | 0.261979i | ||||
\(443\) | −15.7597 | − | 20.5384i | −0.748764 | − | 0.975809i | −0.999969 | − | 0.00787460i | \(-0.997493\pi\) |
0.251205 | − | 0.967934i | \(-0.419173\pi\) | |||||||
\(444\) | 2.36342 | − | 23.6949i | 0.112163 | − | 1.12451i | ||||
\(445\) | 10.1569 | + | 7.79363i | 0.481481 | + | 0.369453i | ||||
\(446\) | 13.2867 | + | 26.3841i | 0.629143 | + | 1.24932i | ||||
\(447\) | 0.387780 | + | 26.2790i | 0.0183414 | + | 1.24295i | ||||
\(448\) | −0.815130 | + | 10.0773i | −0.0385113 | + | 0.476109i | ||||
\(449\) | 22.0262i | 1.03948i | 0.854324 | + | 0.519741i | \(0.173972\pi\) | ||||
−0.854324 | + | 0.519741i | \(0.826028\pi\) | |||||||
\(450\) | 3.32233 | + | 2.04231i | 0.156616 | + | 0.0962753i | ||||
\(451\) | −19.3924 | − | 46.8173i | −0.913151 | − | 2.20454i | ||||
\(452\) | 14.0554 | − | 18.9660i | 0.661110 | − | 0.892087i | ||||
\(453\) | 5.08041 | + | 34.6328i | 0.238699 | + | 1.62719i | ||||
\(454\) | 17.5155 | − | 20.3128i | 0.822042 | − | 0.953329i | ||||
\(455\) | 1.71512 | − | 6.40091i | 0.0804060 | − | 0.300079i | ||||
\(456\) | 30.3568 | − | 3.20841i | 1.42159 | − | 0.150247i | ||||
\(457\) | 4.79296 | + | 17.8876i | 0.224205 | + | 0.836745i | 0.982721 | + | 0.185091i | \(0.0592580\pi\) |
−0.758516 | + | 0.651654i | \(0.774075\pi\) | |||||||
\(458\) | 0.976239 | + | 0.471317i | 0.0456166 | + | 0.0220232i | ||||
\(459\) | 8.08221 | − | 22.2495i | 0.377245 | − | 1.03852i | ||||
\(460\) | 10.7152 | − | 3.06415i | 0.499600 | − | 0.142867i | ||||
\(461\) | −0.469815 | + | 3.56860i | −0.0218815 | + | 0.166206i | −0.998897 | − | 0.0469637i | \(-0.985045\pi\) |
0.977015 | + | 0.213170i | \(0.0683788\pi\) | |||||||
\(462\) | −16.5188 | + | 3.68473i | −0.768526 | + | 0.171429i | ||||
\(463\) | −7.93318 | − | 13.7407i | −0.368686 | − | 0.638583i | 0.620674 | − | 0.784068i | \(-0.286859\pi\) |
−0.989360 | + | 0.145485i | \(0.953526\pi\) | |||||||
\(464\) | 30.8403 | − | 25.3478i | 1.43172 | − | 1.17674i | ||||
\(465\) | 11.8715 | − | 7.08960i | 0.550528 | − | 0.328772i | ||||
\(466\) | −0.294748 | − | 1.41963i | −0.0136539 | − | 0.0657631i | ||||
\(467\) | −7.72826 | − | 18.6577i | −0.357621 | − | 0.863374i | −0.995634 | − | 0.0933480i | \(-0.970243\pi\) |
0.638012 | − | 0.770026i | \(-0.279757\pi\) | |||||||
\(468\) | 13.8332 | + | 7.15533i | 0.639439 | + | 0.330755i | ||||
\(469\) | 1.09269 | + | 0.452606i | 0.0504556 | + | 0.0208994i | ||||
\(470\) | 2.55893 | − | 1.74096i | 0.118035 | − | 0.0803043i | ||||
\(471\) | −7.34633 | + | 7.56639i | −0.338501 | + | 0.348641i | ||||
\(472\) | −1.18622 | + | 29.3780i | −0.0546003 | + | 1.35223i | ||||
\(473\) | −0.138782 | − | 0.0371864i | −0.00638118 | − | 0.00170983i | ||||
\(474\) | −1.54244 | − | 4.22071i | −0.0708468 | − | 0.193863i | ||||
\(475\) | 4.54404 | − | 3.48676i | 0.208495 | − | 0.159984i | ||||
\(476\) | 9.01670 | − | 7.16156i | 0.413280 | − | 0.328249i | ||||
\(477\) | 1.10485 | − | 1.53139i | 0.0505875 | − | 0.0701177i | ||||
\(478\) | −41.7155 | − | 2.38393i | −1.90802 | − | 0.109038i | ||||
\(479\) | 19.6902 | − | 34.1044i | 0.899667 | − | 1.55827i | 0.0717476 | − | 0.997423i | \(-0.477142\pi\) |
0.827920 | − | 0.560847i | \(-0.189524\pi\) | |||||||
\(480\) | 19.1631 | − | 4.95296i | 0.874672 | − | 0.226070i | ||||
\(481\) | −8.92151 | − | 15.4525i | −0.406786 | − | 0.704573i | ||||
\(482\) | −9.04669 | − | 17.9645i | −0.412066 | − | 0.818260i | ||||
\(483\) | 5.99741 | + | 0.699715i | 0.272892 | + | 0.0318381i | ||||
\(484\) | 37.3728 | − | 5.55774i | 1.69876 | − | 0.252625i | ||||
\(485\) | 26.3455 | + | 10.9127i | 1.19629 | + | 0.495519i | ||||
\(486\) | 20.2237 | − | 8.77517i | 0.917364 | − | 0.398050i | ||||
\(487\) | 15.1909 | − | 15.1909i | 0.688366 | − | 0.688366i | −0.273504 | − | 0.961871i | \(-0.588183\pi\) |
0.961871 | + | 0.273504i | \(0.0881828\pi\) | |||||||
\(488\) | −5.36037 | − | 1.67083i | −0.242653 | − | 0.0756347i | ||||
\(489\) | −24.3315 | + | 6.90595i | −1.10031 | + | 0.312298i | ||||
\(490\) | 1.13830 | + | 15.3931i | 0.0514233 | + | 0.695391i | ||||
\(491\) | −0.602058 | − | 4.57308i | −0.0271705 | − | 0.206380i | 0.972475 | − | 0.233007i | \(-0.0748566\pi\) |
−0.999645 | + | 0.0266271i | \(0.991523\pi\) | |||||||
\(492\) | 1.01072 | + | 32.0915i | 0.0455667 | + | 1.44680i | ||||
\(493\) | −45.0770 | − | 5.93450i | −2.03017 | − | 0.267277i | ||||
\(494\) | 17.0704 | − | 15.2248i | 0.768035 | − | 0.684998i | ||||
\(495\) | 17.4063 | + | 28.1933i | 0.782356 | + | 1.26720i | ||||
\(496\) | −3.57823 | + | 15.3973i | −0.160667 | + | 0.691358i | ||||
\(497\) | 6.99712 | − | 12.1194i | 0.313864 | − | 0.543628i | ||||
\(498\) | −5.22669 | + | 4.80193i | −0.234214 | + | 0.215180i | ||||
\(499\) | −33.2610 | − | 25.5220i | −1.48896 | − | 1.14252i | −0.954841 | − | 0.297116i | \(-0.903975\pi\) |
−0.534123 | − | 0.845407i | \(-0.679358\pi\) | |||||||
\(500\) | 16.6250 | − | 17.1908i | 0.743494 | − | 0.768796i | ||||
\(501\) | −23.9825 | − | 9.52178i | −1.07146 | − | 0.425402i | ||||
\(502\) | −13.3985 | + | 9.11564i | −0.598006 | + | 0.406851i | ||||
\(503\) | −4.57278 | + | 4.57278i | −0.203890 | + | 0.203890i | −0.801665 | − | 0.597774i | \(-0.796052\pi\) |
0.597774 | + | 0.801665i | \(0.296052\pi\) | |||||||
\(504\) | 10.6160 | + | 1.51492i | 0.472873 | + | 0.0674801i | ||||
\(505\) | 16.3890 | + | 16.3890i | 0.729303 | + | 0.729303i | ||||
\(506\) | −20.9527 | − | 3.98585i | −0.931461 | − | 0.177193i | ||||
\(507\) | −10.7318 | + | 1.57429i | −0.476618 | + | 0.0699169i | ||||
\(508\) | 9.59627 | − | 4.16432i | 0.425765 | − | 0.184762i | ||||
\(509\) | −23.8501 | + | 31.0821i | −1.05714 | + | 1.37769i | −0.134993 | + | 0.990847i | \(0.543101\pi\) |
−0.922146 | + | 0.386843i | \(0.873566\pi\) | |||||||
\(510\) | −19.0278 | − | 12.0872i | −0.842567 | − | 0.535232i | ||||
\(511\) | 9.21736 | + | 5.32165i | 0.407752 | + | 0.235416i | ||||
\(512\) | −11.1205 | + | 19.7062i | −0.491461 | + | 0.870899i | ||||
\(513\) | −1.43275 | − | 32.3459i | −0.0632573 | − | 1.42810i | ||||
\(514\) | −2.45275 | − | 0.140168i | −0.108186 | − | 0.00618255i | ||||
\(515\) | 3.11507 | − | 23.6613i | 0.137266 | − | 1.04264i | ||||
\(516\) | 0.0739306 | + | 0.0531168i | 0.00325461 | + | 0.00233834i | ||||
\(517\) | −5.87244 | + | 0.773122i | −0.258270 | + | 0.0340019i | ||||
\(518\) | −9.30432 | − | 8.02298i | −0.408808 | − | 0.352510i | ||||
\(519\) | −28.4293 | − | 7.16976i | −1.24791 | − | 0.314718i | ||||
\(520\) | 9.49593 | − | 11.3924i | 0.416424 | − | 0.499591i | ||||
\(521\) | −13.1462 | − | 13.1462i | −0.575945 | − | 0.575945i | 0.357838 | − | 0.933784i | \(-0.383514\pi\) |
−0.933784 | + | 0.357838i | \(0.883514\pi\) | |||||||
\(522\) | −24.8402 | − | 34.2900i | −1.08722 | − | 1.50083i | ||||
\(523\) | −5.54810 | + | 13.3943i | −0.242601 | + | 0.585692i | −0.997540 | − | 0.0701042i | \(-0.977667\pi\) |
0.754938 | + | 0.655796i | \(0.227667\pi\) | |||||||
\(524\) | 2.45502 | − | 9.81625i | 0.107248 | − | 0.428825i | ||||
\(525\) | 1.84735 | − | 0.797333i | 0.0806251 | − | 0.0347985i | ||||
\(526\) | −8.69569 | − | 2.87090i | −0.379150 | − | 0.125177i | ||||
\(527\) | 15.5915 | − | 9.00177i | 0.679177 | − | 0.392123i | ||||
\(528\) | −37.0182 | − | 8.02901i | −1.61101 | − | 0.349418i | ||||
\(529\) | −13.3289 | − | 7.69543i | −0.579517 | − | 0.334584i | ||||
\(530\) | −1.19693 | − | 1.34202i | −0.0519913 | − | 0.0582938i | ||||
\(531\) | 31.0253 | + | 3.15646i | 1.34639 | + | 0.136979i | ||||
\(532\) | 7.64543 | − | 13.7692i | 0.331471 | − | 0.596971i | ||||
\(533\) | 14.6459 | + | 19.0869i | 0.634385 | + | 0.826746i | ||||
\(534\) | 1.37313 | + | 15.4629i | 0.0594213 | + | 0.669144i | ||||
\(535\) | −2.44292 | + | 9.11710i | −0.105617 | + | 0.394167i | ||||
\(536\) | 1.79467 | + | 1.94570i | 0.0775181 | + | 0.0840416i | ||||
\(537\) | −32.4575 | + | 9.21235i | −1.40065 | + | 0.397542i | ||||
\(538\) | 23.3292 | + | 4.43793i | 1.00579 | + | 0.191333i | ||||
\(539\) | 11.3042 | − | 27.2908i | 0.486907 | − | 1.17550i | ||||
\(540\) | −4.00386 | − | 20.6081i | −0.172298 | − | 0.886833i | ||||
\(541\) | 35.5371 | − | 14.7199i | 1.52786 | − | 0.632859i | 0.548711 | − | 0.836012i | \(-0.315119\pi\) |
0.979147 | + | 0.203153i | \(0.0651188\pi\) | |||||||
\(542\) | 15.7865 | + | 10.3583i | 0.678089 | + | 0.444926i | ||||
\(543\) | 14.7690 | − | 26.4752i | 0.633797 | − | 1.13616i | ||||
\(544\) | 25.0433 | − | 6.08002i | 1.07372 | − | 0.260679i | ||||
\(545\) | −6.94714 | + | 4.01093i | −0.297583 | + | 0.171810i | ||||
\(546\) | 7.12254 | − | 3.71957i | 0.304817 | − | 0.159183i | ||||
\(547\) | 26.9141 | + | 3.54330i | 1.15076 | + | 0.151501i | 0.681677 | − | 0.731653i | \(-0.261251\pi\) |
0.469084 | + | 0.883153i | \(0.344584\pi\) | |||||||
\(548\) | −5.78421 | − | 7.28256i | −0.247089 | − | 0.311096i | ||||
\(549\) | −2.11567 | + | 5.56685i | −0.0902946 | + | 0.237588i | ||||
\(550\) | −6.71077 | + | 2.34078i | −0.286148 | + | 0.0998112i | ||||
\(551\) | −60.0677 | + | 16.0951i | −2.55897 | + | 0.685674i | ||||
\(552\) | 11.5264 | + | 7.05420i | 0.490595 | + | 0.300247i | ||||
\(553\) | −2.23947 | − | 0.600064i | −0.0952319 | − | 0.0255173i | ||||
\(554\) | −32.6155 | + | 2.41188i | −1.38570 | + | 0.102471i | ||||
\(555\) | −8.87534 | + | 22.3543i | −0.376737 | + | 0.948888i | ||||
\(556\) | 0.232102 | + | 0.386918i | 0.00984334 | + | 0.0164090i | ||||
\(557\) | 33.4645 | − | 13.8614i | 1.41794 | − | 0.587328i | 0.463595 | − | 0.886047i | \(-0.346559\pi\) |
0.954341 | + | 0.298719i | \(0.0965593\pi\) | |||||||
\(558\) | 16.0694 | + | 4.78436i | 0.680271 | + | 0.202538i | ||||
\(559\) | 0.0682128 | 0.00288509 | ||||||||
\(560\) | 3.59011 | − | 9.55995i | 0.151710 | − | 0.403982i | ||||
\(561\) | 22.1194 | + | 37.0388i | 0.933880 | + | 1.56378i | ||||
\(562\) | 0.431304 | − | 1.30638i | 0.0181935 | − | 0.0551064i | ||||
\(563\) | 5.69136 | − | 7.41712i | 0.239862 | − | 0.312594i | −0.657874 | − | 0.753128i | \(-0.728544\pi\) |
0.897736 | + | 0.440534i | \(0.145211\pi\) | |||||||
\(564\) | 3.65378 | + | 0.856722i | 0.153852 | + | 0.0360745i | ||||
\(565\) | −18.9165 | + | 14.5151i | −0.795821 | + | 0.610655i | ||||
\(566\) | 11.6601 | − | 24.1515i | 0.490109 | − | 1.01516i | ||||
\(567\) | 2.29063 | − | 11.1410i | 0.0961975 | − | 0.467877i | ||||
\(568\) | 25.5969 | − | 18.0485i | 1.07402 | − | 0.757297i | ||||
\(569\) | 4.66587 | + | 17.4133i | 0.195603 | + | 0.730002i | 0.992110 | + | 0.125372i | \(0.0400124\pi\) |
−0.796506 | + | 0.604630i | \(0.793321\pi\) | |||||||
\(570\) | −30.3712 | − | 5.31445i | −1.27211 | − | 0.222598i | ||||
\(571\) | 4.53485 | + | 34.4456i | 0.189777 | + | 1.44150i | 0.775683 | + | 0.631123i | \(0.217406\pi\) |
−0.585905 | + | 0.810379i | \(0.699261\pi\) | |||||||
\(572\) | −26.0373 | + | 11.2989i | −1.08867 | + | 0.472431i | ||||
\(573\) | −25.2361 | − | 18.7793i | −1.05425 | − | 0.784517i | ||||
\(574\) | 13.8501 | + | 9.08769i | 0.578092 | + | 0.379313i | ||||
\(575\) | 2.53560 | 0.105742 | ||||||||
\(576\) | 20.1432 | + | 13.0480i | 0.839301 | + | 0.543667i | ||||
\(577\) | −6.04244 | −0.251550 | −0.125775 | − | 0.992059i | \(-0.540142\pi\) | ||||
−0.125775 | + | 0.992059i | \(0.540142\pi\) | |||||||
\(578\) | −4.43889 | − | 2.91256i | −0.184633 | − | 0.121147i | ||||
\(579\) | −12.8330 | + | 5.53884i | −0.533323 | + | 0.230186i | ||||
\(580\) | −36.9889 | + | 16.0514i | −1.53588 | + | 0.666498i | ||||
\(581\) | 0.477979 | + | 3.63061i | 0.0198299 | + | 0.150623i | ||||
\(582\) | 11.8686 | + | 32.4769i | 0.491968 | + | 1.34621i | ||||
\(583\) | 0.890704 | + | 3.32415i | 0.0368892 | + | 0.137672i | ||||
\(584\) | 13.7267 | + | 19.4677i | 0.568016 | + | 0.805578i | ||||
\(585\) | −11.4466 | − | 10.7902i | −0.473261 | − | 0.446121i | ||||
\(586\) | −16.8691 | + | 34.9409i | −0.696856 | + | 1.44340i | ||||
\(587\) | 22.0765 | − | 16.9399i | 0.911196 | − | 0.699185i | −0.0427750 | − | 0.999085i | \(-0.513620\pi\) |
0.953971 | + | 0.299900i | \(0.0969532\pi\) | |||||||
\(588\) | −12.8111 | + | 13.6443i | −0.528320 | + | 0.562681i | ||||
\(589\) | 14.9905 | − | 19.5360i | 0.617672 | − | 0.804965i | ||||
\(590\) | 9.31037 | − | 28.2002i | 0.383302 | − | 1.16099i | ||||
\(591\) | −9.40173 | + | 16.8538i | −0.386736 | + | 0.693272i | ||||
\(592\) | −11.3663 | − | 25.0370i | −0.467151 | − | 1.02902i | ||||
\(593\) | −37.3176 | −1.53245 | −0.766226 | − | 0.642572i | \(-0.777868\pi\) | ||||
−0.766226 | + | 0.642572i | \(0.777868\pi\) | |||||||
\(594\) | −10.8951 | + | 38.6712i | −0.447032 | + | 1.58670i | ||||
\(595\) | −10.7451 | + | 4.45077i | −0.440507 | + | 0.182464i | ||||
\(596\) | 15.6114 | + | 26.0243i | 0.639466 | + | 1.06600i | ||||
\(597\) | 5.02299 | + | 6.34985i | 0.205577 | + | 0.259882i | ||||
\(598\) | 10.0984 | − | 0.746765i | 0.412954 | − | 0.0305375i | ||||
\(599\) | −9.66704 | − | 2.59028i | −0.394984 | − | 0.105836i | 0.0558593 | − | 0.998439i | \(-0.482210\pi\) |
−0.450844 | + | 0.892603i | \(0.648877\pi\) | |||||||
\(600\) | 4.50169 | + | 0.115272i | 0.183781 | + | 0.00470595i | ||||
\(601\) | 13.2200 | − | 3.54229i | 0.539256 | − | 0.144493i | 0.0210969 | − | 0.999777i | \(-0.493284\pi\) |
0.518159 | + | 0.855284i | \(0.326617\pi\) | |||||||
\(602\) | 0.0443471 | − | 0.0154687i | 0.00180745 | − | 0.000630457i | ||||
\(603\) | 2.17599 | − | 1.77412i | 0.0886134 | − | 0.0722477i | ||||
\(604\) | 25.1382 | + | 31.6500i | 1.02286 | + | 1.28782i | ||||
\(605\) | −37.8370 | − | 4.98133i | −1.53829 | − | 0.202520i | ||||
\(606\) | −1.18930 | + | 28.0791i | −0.0483119 | + | 1.14063i | ||||
\(607\) | 8.01566 | − | 4.62784i | 0.325346 | − | 0.187838i | −0.328427 | − | 0.944529i | \(-0.606519\pi\) |
0.653773 | + | 0.756691i | \(0.273185\pi\) | |||||||
\(608\) | 28.4634 | − | 20.7911i | 1.15434 | − | 0.843192i | ||||
\(609\) | −21.8434 | + | 0.322327i | −0.885137 | + | 0.0130613i | ||||
\(610\) | 4.74158 | + | 3.11117i | 0.191981 | + | 0.125968i | ||||
\(611\) | 2.59803 | − | 1.07614i | 0.105105 | − | 0.0435359i | ||||
\(612\) | −4.81665 | − | 26.9063i | −0.194701 | − | 1.08762i | ||||
\(613\) | 9.68206 | − | 23.3746i | 0.391055 | − | 0.944090i | −0.598656 | − | 0.801006i | \(-0.704298\pi\) |
0.989711 | − | 0.143083i | \(-0.0457017\pi\) | |||||||
\(614\) | −5.59748 | − | 1.06481i | −0.225896 | − | 0.0429724i | ||||
\(615\) | 7.93041 | − | 31.4455i | 0.319785 | − | 1.26800i | ||||
\(616\) | −14.3653 | + | 13.2503i | −0.578795 | + | 0.533868i | ||||
\(617\) | −8.26416 | + | 30.8423i | −0.332703 | + | 1.24166i | 0.573636 | + | 0.819111i | \(0.305533\pi\) |
−0.906338 | + | 0.422553i | \(0.861134\pi\) | |||||||
\(618\) | 23.6832 | − | 16.6292i | 0.952679 | − | 0.668925i | ||||
\(619\) | 21.6463 | + | 28.2099i | 0.870036 | + | 1.13385i | 0.989999 | + | 0.141075i | \(0.0450559\pi\) |
−0.119963 | + | 0.992778i | \(0.538277\pi\) | |||||||
\(620\) | 7.75079 | − | 13.9590i | 0.311279 | − | 0.560605i | ||||
\(621\) | 8.21388 | − | 11.7464i | 0.329612 | − | 0.471368i | ||||
\(622\) | −18.8101 | − | 21.0903i | −0.754217 | − | 0.845645i | ||||
\(623\) | 6.93621 | + | 4.00462i | 0.277893 | + | 0.160442i | ||||
\(624\) | 17.9626 | − | 0.866718i | 0.719081 | − | 0.0346965i | ||||
\(625\) | −16.9386 | + | 9.77952i | −0.677545 | + | 0.391181i | ||||
\(626\) | 15.8203 | + | 5.22310i | 0.632306 | + | 0.208757i | ||||
\(627\) | 47.3379 | + | 35.2263i | 1.89049 | + | 1.40680i | ||||
\(628\) | −2.95456 | + | 11.8136i | −0.117900 | + | 0.471416i | ||||
\(629\) | −11.9841 | + | 28.9322i | −0.477837 | + | 1.15360i | ||||
\(630\) | −9.88872 | − | 4.41928i | −0.393976 | − | 0.176068i | ||||
\(631\) | −12.6730 | − | 12.6730i | −0.504505 | − | 0.504505i | 0.408329 | − | 0.912835i | \(-0.366112\pi\) |
−0.912835 | + | 0.408329i | \(0.866112\pi\) | |||||||
\(632\) | −3.98584 | − | 3.32231i | −0.158548 | − | 0.132155i | ||||
\(633\) | −9.60734 | + | 9.89513i | −0.381858 | + | 0.393296i | ||||
\(634\) | −3.10774 | − | 2.67976i | −0.123424 | − | 0.106427i | ||||
\(635\) | −10.4756 | + | 1.37914i | −0.415711 | + | 0.0547295i | ||||
\(636\) | 0.216415 | − | 2.16971i | 0.00858143 | − | 0.0860346i | ||||
\(637\) | −1.83053 | + | 13.9042i | −0.0725281 | + | 0.550905i | ||||
\(638\) | 77.0403 | + | 4.40265i | 3.05006 | + | 0.174302i | ||||
\(639\) | −17.4516 | − | 28.2667i | −0.690376 | − | 1.11821i | ||||
\(640\) | 16.2719 | − | 16.0489i | 0.643202 | − | 0.634390i | ||||
\(641\) | −21.2176 | − | 12.2500i | −0.838044 | − | 0.483845i | 0.0185552 | − | 0.999828i | \(-0.494093\pi\) |
−0.856599 | + | 0.515983i | \(0.827427\pi\) | |||||||
\(642\) | −10.1450 | + | 5.29795i | −0.400390 | + | 0.209093i | ||||
\(643\) | −17.6156 | + | 22.9571i | −0.694692 | + | 0.905341i | −0.998882 | − | 0.0472706i | \(-0.984948\pi\) |
0.304190 | + | 0.952612i | \(0.401614\pi\) | |||||||
\(644\) | 6.39592 | − | 2.77552i | 0.252035 | − | 0.109371i | ||||
\(645\) | −0.0570449 | − | 0.0721138i | −0.00224614 | − | 0.00283948i | ||||
\(646\) | −39.4376 | − | 7.50225i | −1.55165 | − | 0.295172i | ||||
\(647\) | 7.35806 | + | 7.35806i | 0.289275 | + | 0.289275i | 0.836794 | − | 0.547519i | \(-0.184427\pi\) |
−0.547519 | + | 0.836794i | \(0.684427\pi\) | |||||||
\(648\) | 15.1169 | − | 20.4812i | 0.593848 | − | 0.804577i | ||||
\(649\) | −40.1877 | + | 40.1877i | −1.57750 | + | 1.57750i | ||||
\(650\) | 2.78984 | − | 1.89806i | 0.109426 | − | 0.0744479i | ||||
\(651\) | 6.78440 | − | 5.36673i | 0.265902 | − | 0.210339i | ||||
\(652\) | −20.3029 | + | 20.9939i | −0.795124 | + | 0.822183i | ||||
\(653\) | −27.4633 | − | 21.0734i | −1.07472 | − | 0.824664i | −0.0895084 | − | 0.995986i | \(-0.528530\pi\) |
−0.985215 | + | 0.171322i | \(0.945196\pi\) | |||||||
\(654\) | −9.28060 | − | 2.91287i | −0.362900 | − | 0.113902i | ||||
\(655\) | −5.11013 | + | 8.85101i | −0.199669 | + | 0.345838i | ||||
\(656\) | 19.6009 | + | 31.4693i | 0.765287 | + | 1.22867i | ||||
\(657\) | 21.4982 | − | 13.2728i | 0.838725 | − | 0.517821i | ||||
\(658\) | 1.44502 | − | 1.28879i | 0.0563326 | − | 0.0502421i | ||||
\(659\) | 8.08934 | + | 1.06498i | 0.315116 | + | 0.0414858i | 0.286425 | − | 0.958103i | \(-0.407533\pi\) |
0.0286906 | + | 0.999588i | \(0.490866\pi\) | |||||||
\(660\) | 33.7195 | + | 18.0773i | 1.31253 | + | 0.703656i | ||||
\(661\) | 5.26123 | + | 39.9630i | 0.204638 | + | 1.55438i | 0.717899 | + | 0.696148i | \(0.245104\pi\) |
−0.513260 | + | 0.858233i | \(0.671563\pi\) | |||||||
\(662\) | 2.56352 | + | 34.6661i | 0.0996340 | + | 1.34734i | ||||
\(663\) | −14.6949 | − | 14.2675i | −0.570703 | − | 0.554105i | ||||
\(664\) | −2.43886 | + | 7.82439i | −0.0946460 | + | 0.303645i | ||||
\(665\) | −11.2484 | + | 11.2484i | −0.436195 | + | 0.436195i | ||||
\(666\) | −27.2417 | + | 10.4135i | −1.05559 | + | 0.403516i | ||||
\(667\) | −25.4342 | − | 10.5352i | −0.984815 | − | 0.407924i | ||||
\(668\) | −29.4713 | + | 4.38270i | −1.14028 | + | 0.169572i | ||||
\(669\) | 21.5990 | − | 29.0253i | 0.835066 | − | 1.12218i | ||||
\(670\) | −1.20252 | − | 2.38790i | −0.0464574 | − | 0.0922528i | ||||
\(671\) | −5.42664 | − | 9.39922i | −0.209493 | − | 0.362853i | ||||
\(672\) | 11.4815 | − | 4.63689i | 0.442908 | − | 0.178872i | ||||
\(673\) | 14.3618 | − | 24.8753i | 0.553605 | − | 0.958873i | −0.444405 | − | 0.895826i | \(-0.646585\pi\) |
0.998011 | − | 0.0630468i | \(-0.0200817\pi\) | |||||||
\(674\) | 38.3483 | + | 2.19150i | 1.47712 | + | 0.0844135i | ||||
\(675\) | 0.413276 | − | 4.75842i | 0.0159070 | − | 0.183152i | ||||
\(676\) | −9.80757 | + | 7.78970i | −0.377214 | + | 0.299604i | ||||
\(677\) | 8.62306 | − | 6.61671i | 0.331411 | − | 0.254301i | −0.429629 | − | 0.903006i | \(-0.641356\pi\) |
0.761040 | + | 0.648705i | \(0.224689\pi\) | |||||||
\(678\) | −28.4792 | − | 4.98339i | −1.09374 | − | 0.191386i | ||||
\(679\) | 17.2319 | + | 4.61729i | 0.661301 | + | 0.177195i | ||||
\(680\) | −26.0085 | − | 1.05017i | −0.997381 | − | 0.0402721i | ||||
\(681\) | −31.8524 | − | 8.03304i | −1.22059 | − | 0.307827i | ||||
\(682\) | −25.2635 | + | 17.1880i | −0.967391 | + | 0.658161i | ||||
\(683\) | 8.11168 | + | 3.35997i | 0.310385 | + | 0.128566i | 0.532438 | − | 0.846469i | \(-0.321276\pi\) |
−0.222053 | + | 0.975035i | \(0.571276\pi\) | |||||||
\(684\) | −20.1698 | − | 31.4789i | −0.771212 | − | 1.20363i | ||||
\(685\) | 3.59478 | + | 8.67856i | 0.137349 | + | 0.331591i | ||||
\(686\) | 4.50628 | + | 21.7042i | 0.172051 | + | 0.828670i | ||||
\(687\) | −0.0195897 | − | 1.32755i | −0.000747394 | − | 0.0506492i | ||||
\(688\) | 0.104618 | + | 0.0102265i | 0.00398852 | + | 0.000389881i | ||||
\(689\) | −0.816930 | − | 1.41496i | −0.0311226 | − | 0.0539059i | ||||
\(690\) | −9.23455 | − | 10.0514i | −0.351553 | − | 0.382651i | ||||
\(691\) | 2.07623 | − | 15.7706i | 0.0789836 | − | 0.599940i | −0.905485 | − | 0.424379i | \(-0.860493\pi\) |
0.984468 | − | 0.175561i | \(-0.0561741\pi\) | |||||||
\(692\) | −32.5505 | + | 9.30821i | −1.23738 | + | 0.353845i | ||||
\(693\) | 13.0985 | + | 16.0656i | 0.497570 | + | 0.610281i | ||||
\(694\) | 37.6430 | + | 18.1736i | 1.42891 | + | 0.689862i | ||||
\(695\) | −0.117951 | − | 0.440200i | −0.00447415 | − | 0.0166977i | ||||
\(696\) | −44.6768 | − | 19.8604i | −1.69347 | − | 0.752807i | ||||
\(697\) | 10.9286 | − | 40.7859i | 0.413949 | − | 1.54488i | ||||
\(698\) | 15.2761 | − | 17.7159i | 0.578210 | − | 0.670555i | ||||
\(699\) | −1.39271 | + | 1.10169i | −0.0526770 | + | 0.0416696i | ||||
\(700\) | 1.38333 | − | 1.86664i | 0.0522850 | − | 0.0705523i | ||||
\(701\) | 13.0511 | + | 31.5082i | 0.492935 | + | 1.19005i | 0.953220 | + | 0.302278i | \(0.0977472\pi\) |
−0.460285 | + | 0.887771i | \(0.652253\pi\) | |||||||
\(702\) | 0.244519 | − | 19.0728i | 0.00922877 | − | 0.719858i | ||||
\(703\) | 42.8328i | 1.61547i | ||||||||
\(704\) | −41.6273 | + | 13.4256i | −1.56889 | + | 0.505998i | ||||
\(705\) | −3.31035 | − | 1.84665i | −0.124675 | − | 0.0695490i | ||||
\(706\) | −1.01107 | − | 2.00774i | −0.0380523 | − | 0.0755624i | ||||
\(707\) | 11.5036 | + | 8.82703i | 0.432638 | + | 0.331975i | ||||
\(708\) | 32.8185 | − | 14.8208i | 1.23340 | − | 0.557001i | ||||
\(709\) | 19.2471 | + | 25.0833i | 0.722839 | + | 0.942022i | 0.999822 | − | 0.0188529i | \(-0.00600141\pi\) |
−0.276984 | + | 0.960875i | \(0.589335\pi\) | |||||||
\(710\) | −29.8699 | + | 10.4189i | −1.12100 | + | 0.391014i | ||||
\(711\) | −3.77515 | + | 4.00481i | −0.141579 | + | 0.150192i | ||||
\(712\) | 10.3296 | + | 14.6497i | 0.387117 | + | 0.549022i | ||||
\(713\) | 10.5297 | − | 2.82143i | 0.394341 | − | 0.105663i | ||||
\(714\) | −12.7890 | − | 5.94335i | −0.478618 | − | 0.222424i | ||||
\(715\) | 28.4231 | − | 3.74198i | 1.06296 | − | 0.139942i | ||||
\(716\) | −27.0836 | + | 28.0052i | −1.01216 | + | 1.04661i | ||||
\(717\) | 20.2790 | + | 46.9847i | 0.757332 | + | 1.75467i | ||||
\(718\) | −2.64978 | − | 12.7625i | −0.0988891 | − | 0.476292i | ||||
\(719\) | − | 7.72243i | − | 0.287998i | −0.989578 | − | 0.143999i | \(-0.954004\pi\) | ||
0.989578 | − | 0.143999i | \(-0.0459962\pi\) | |||||||
\(720\) | −15.9381 | − | 18.2651i | −0.593976 | − | 0.680699i | ||||
\(721\) | − | 14.9303i | − | 0.556034i | ||||||
\(722\) | −27.4530 | + | 5.69987i | −1.02170 | + | 0.212127i | ||||
\(723\) | −14.7064 | + | 19.7628i | −0.546937 | + | 0.734988i | ||||
\(724\) | −0.585596 | − | 35.0010i | −0.0217635 | − | 1.30080i | ||||
\(725\) | −9.09528 | + | 1.19742i | −0.337790 | + | 0.0444709i | ||||
\(726\) | −26.5919 | − | 37.8720i | −0.986918 | − | 1.40556i | ||||
\(727\) | 33.3123 | − | 8.92600i | 1.23548 | − | 0.331047i | 0.418772 | − | 0.908092i | \(-0.362461\pi\) |
0.816713 | + | 0.577044i | \(0.195794\pi\) | |||||||
\(728\) | 4.95958 | − | 7.84158i | 0.183814 | − | 0.290628i | ||||
\(729\) | −20.7051 | − | 17.3291i | −0.766857 | − | 0.641818i | ||||
\(730\) | −7.92407 | − | 22.7175i | −0.293283 | − | 0.840811i | ||||
\(731\) | −0.0728804 | − | 0.0949796i | −0.00269558 | − | 0.00351295i | ||||
\(732\) | 1.11175 | + | 6.78615i | 0.0410916 | + | 0.250823i | ||||
\(733\) | −24.4099 | − | 18.7303i | −0.901599 | − | 0.691821i | 0.0501363 | − | 0.998742i | \(-0.484034\pi\) |
−0.951735 | + | 0.306922i | \(0.900701\pi\) | |||||||
\(734\) | 16.0481 | − | 8.08163i | 0.592346 | − | 0.298298i | ||||
\(735\) | 16.2302 | − | 9.69259i | 0.598661 | − | 0.357517i | ||||
\(736\) | 15.5999 | + | 0.368642i | 0.575019 | + | 0.0135883i | ||||
\(737\) | 5.11665i | 0.188474i | ||||||||
\(738\) | 34.5842 | − | 18.7153i | 1.27306 | − | 0.688919i | ||||
\(739\) | −3.96081 | − | 9.56225i | −0.145701 | − | 0.351753i | 0.834134 | − | 0.551562i | \(-0.185968\pi\) |
−0.979835 | + | 0.199809i | \(0.935968\pi\) | |||||||
\(740\) | 4.08516 | + | 27.4705i | 0.150173 | + | 1.00983i | ||||
\(741\) | −26.0371 | − | 10.3375i | −0.956496 | − | 0.379758i | ||||
\(742\) | −0.851984 | − | 0.734654i | −0.0312773 | − | 0.0269700i | ||||
\(743\) | 4.84432 | − | 18.0793i | 0.177721 | − | 0.663264i | −0.818351 | − | 0.574718i | \(-0.805112\pi\) |
0.996072 | − | 0.0885452i | \(-0.0282218\pi\) | |||||||
\(744\) | 18.8227 | − | 4.53047i | 0.690074 | − | 0.166095i | ||||
\(745\) | −7.93348 | − | 29.6082i | −0.290660 | − | 1.08476i | ||||
\(746\) | −12.9332 | + | 26.7886i | −0.473520 | + | 0.980800i | ||||
\(747\) | 8.12578 | + | 3.08819i | 0.297307 | + | 0.112991i | ||||
\(748\) | 43.5515 | + | 24.1823i | 1.59240 | + | 0.884191i | ||||
\(749\) | −0.770743 | + | 5.85438i | −0.0281623 | + | 0.213914i | ||||
\(750\) | −27.9453 | − | 8.77110i | −1.02042 | − | 0.320275i | ||||
\(751\) | −4.93547 | − | 8.54848i | −0.180098 | − | 0.311939i | 0.761816 | − | 0.647794i | \(-0.224308\pi\) |
−0.941914 | + | 0.335855i | \(0.890975\pi\) | |||||||
\(752\) | 4.14593 | − | 1.26098i | 0.151186 | − | 0.0459831i | ||||
\(753\) | 17.3330 | + | 9.66906i | 0.631649 | + | 0.352360i | ||||
\(754\) | −35.8707 | + | 7.44756i | −1.30633 | + | 0.271224i | ||||
\(755\) | −15.6229 | − | 37.7170i | −0.568576 | − | 1.37266i | ||||
\(756\) | −4.16621 | − | 12.4553i | −0.151523 | − | 0.452994i | ||||
\(757\) | 23.5354 | + | 9.74869i | 0.855409 | + | 0.354322i | 0.766910 | − | 0.641754i | \(-0.221793\pi\) |
0.0884987 | + | 0.996076i | \(0.471793\pi\) | |||||||
\(758\) | −11.6449 | − | 17.1161i | −0.422960 | − | 0.621684i | ||||
\(759\) | 7.13240 | + | 25.1293i | 0.258890 | + | 0.912137i | ||||
\(760\) | −33.4153 | + | 12.2863i | −1.21210 | + | 0.445672i | ||||
\(761\) | 30.2740 | + | 8.11189i | 1.09743 | + | 0.294056i | 0.761718 | − | 0.647909i | \(-0.224356\pi\) |
0.335713 | + | 0.941964i | \(0.391023\pi\) | |||||||
\(762\) | −9.82521 | − | 8.22253i | −0.355930 | − | 0.297871i | ||||
\(763\) | −3.98145 | + | 3.05507i | −0.144138 | + | 0.110601i | ||||
\(764\) | −36.0866 | − | 4.13801i | −1.30557 | − | 0.149708i | ||||
\(765\) | −2.79443 | + | 27.4669i | −0.101033 | + | 0.993068i | ||||
\(766\) | 0.378568 | − | 6.62443i | 0.0136782 | − | 0.239350i | ||||
\(767\) | 13.4914 | − | 23.3677i | 0.487145 | − | 0.843760i | ||||
\(768\) | 27.6792 | + | 1.36368i | 0.998789 | + | 0.0492075i | ||||
\(769\) | 4.03859 | + | 6.99504i | 0.145635 | + | 0.252248i | 0.929610 | − | 0.368545i | \(-0.120144\pi\) |
−0.783974 | + | 0.620793i | \(0.786811\pi\) | |||||||
\(770\) | 17.6301 | − | 8.87832i | 0.635346 | − | 0.319952i | ||||
\(771\) | 1.19234 | + | 2.76256i | 0.0429412 | + | 0.0994913i | ||||
\(772\) | −9.60961 | + | 12.9670i | −0.345858 | + | 0.466693i | ||||
\(773\) | −33.4583 | − | 13.8589i | −1.20341 | − | 0.498470i | −0.311312 | − | 0.950308i | \(-0.600769\pi\) |
−0.892100 | + | 0.451838i | \(0.850769\pi\) | |||||||
\(774\) | 0.0175949 | − | 0.110096i | 0.000632437 | − | 0.00395732i | ||||
\(775\) | 2.56864 | − | 2.56864i | 0.0922683 | − | 0.0922683i | ||||
\(776\) | 30.6696 | + | 25.5641i | 1.10098 | + | 0.917696i | ||||
\(777\) | −3.67954 | + | 14.5900i | −0.132003 | + | 0.523414i | ||||
\(778\) | 26.5087 | − | 1.96029i | 0.950382 | − | 0.0702797i | ||||
\(779\) | −7.53833 | − | 57.2593i | −0.270089 | − | 2.05153i | ||||
\(780\) | −17.6846 | − | 4.14661i | −0.633211 | − | 0.148472i | ||||
\(781\) | 60.0238 | + | 7.90228i | 2.14782 | + | 0.282766i | ||||
\(782\) | −11.8292 | − | 13.2632i | −0.423011 | − | 0.474290i | ||||
\(783\) | −23.9163 | + | 46.0138i | −0.854699 | + | 1.64440i | ||||
\(784\) | −4.89200 | + | 21.0505i | −0.174714 | + | 0.751803i | ||||
\(785\) | 6.14994 | − | 10.6520i | 0.219501 | − | 0.380186i | ||||
\(786\) | −12.0954 | + | 2.69803i | −0.431430 | + | 0.0962357i | ||||
\(787\) | −34.8624 | − | 26.7509i | −1.24271 | − | 0.953566i | −0.242847 | − | 0.970065i | \(-0.578081\pi\) |
−0.999864 | + | 0.0164990i | \(0.994748\pi\) | |||||||
\(788\) | 0.372783 | + | 22.2812i | 0.0132798 | + | 0.793734i | ||||
\(789\) | 1.62781 | + | 11.0967i | 0.0579516 | + | 0.395052i | ||||
\(790\) | 2.94811 | + | 4.33326i | 0.104889 | + | 0.154170i | ||||
\(791\) | −10.5477 | + | 10.5477i | −0.375033 | + | 0.375033i | ||||
\(792\) | 11.5204 | + | 44.9388i | 0.409361 | + | 1.59683i | ||||
\(793\) | 3.64354 | + | 3.64354i | 0.129386 | + | 0.129386i | ||||
\(794\) | 6.96434 | − | 36.6099i | 0.247155 | − | 1.29924i | ||||
\(795\) | −0.812703 | + | 2.04695i | −0.0288236 | + | 0.0725980i | ||||
\(796\) | 8.69587 | + | 3.43267i | 0.308217 | + | 0.121668i | ||||
\(797\) | 7.53090 | − | 9.81446i | 0.266758 | − | 0.347646i | −0.640698 | − | 0.767793i | \(-0.721355\pi\) |
0.907456 | + | 0.420147i | \(0.138021\pi\) | |||||||
\(798\) | −19.2717 | − | 0.816259i | −0.682211 | − | 0.0288953i | ||||
\(799\) | −4.27422 | − | 2.46772i | −0.151211 | − | 0.0873016i | ||||
\(800\) | 4.56333 | − | 2.49280i | 0.161338 | − | 0.0881337i | ||||
\(801\) | 16.1777 | − | 9.98799i | 0.571612 | − | 0.352908i | ||||
\(802\) | 0.447312 | − | 7.82735i | 0.0157951 | − | 0.276393i | ||||
\(803\) | −6.01006 | + | 45.6510i | −0.212091 | + | 1.61099i | ||||
\(804\) | 1.14572 | − | 3.03270i | 0.0404065 | − | 0.106955i | ||||
\(805\) | −6.98200 | + | 0.919198i | −0.246083 | + | 0.0323975i | ||||
\(806\) | 9.47351 | − | 10.9865i | 0.333690 | − | 0.386983i | ||||
\(807\) | −7.94136 | − | 27.9795i | −0.279549 | − | 0.984925i | ||||
\(808\) | 15.0789 | + | 28.7360i | 0.530475 | + | 1.01093i | ||||
\(809\) | 20.1552 | + | 20.1552i | 0.708618 | + | 0.708618i | 0.966244 | − | 0.257627i | \(-0.0829405\pi\) |
−0.257627 | + | 0.966244i | \(0.582941\pi\) | |||||||
\(810\) | −20.3681 | + | 15.6917i | −0.715662 | + | 0.551351i | ||||
\(811\) | −0.0879265 | + | 0.212273i | −0.00308752 | + | 0.00745393i | −0.925416 | − | 0.378953i | \(-0.876284\pi\) |
0.922328 | + | 0.386407i | \(0.126284\pi\) | |||||||
\(812\) | −21.6317 | + | 12.9763i | −0.759123 | + | 0.455380i | ||||
\(813\) | 2.67980 | − | 22.9691i | 0.0939846 | − | 0.805562i | ||||
\(814\) | 16.6630 | − | 50.4707i | 0.584038 | − | 1.76900i | ||||
\(815\) | 25.5467 | − | 14.7494i | 0.894863 | − | 0.516649i | ||||
\(816\) | −20.3986 | − | 24.0852i | −0.714093 | − | 0.843149i | ||||
\(817\) | −0.141809 | − | 0.0818736i | −0.00496128 | − | 0.00286440i | ||||
\(818\) | −2.43627 | + | 2.17287i | −0.0851822 | + | 0.0759726i | ||||
\(819\) | −7.98090 | − | 5.75795i | −0.278875 | − | 0.201199i | ||||
\(820\) | −10.2957 | − | 36.0038i | −0.359542 | − | 1.25731i | ||||
\(821\) | 29.3115 | + | 38.1994i | 1.02298 | + | 1.33317i | 0.941691 | + | 0.336479i | \(0.109236\pi\) |
0.0812861 | + | 0.996691i | \(0.474097\pi\) | |||||||
\(822\) | −4.80030 | + | 10.3294i | −0.167430 | + | 0.360279i | ||||
\(823\) | 8.24869 | − | 30.7845i | 0.287531 | − | 1.07308i | −0.659439 | − | 0.751758i | \(-0.729206\pi\) |
0.946970 | − | 0.321323i | \(-0.104127\pi\) | |||||||
\(824\) | 14.0225 | − | 30.3305i | 0.488497 | − | 1.05661i | ||||
\(825\) | 6.24525 | + | 6.06361i | 0.217432 | + | 0.211108i | ||||
\(826\) | 3.47200 | − | 18.2515i | 0.120806 | − | 0.635051i | ||||
\(827\) | −3.94538 | + | 9.52499i | −0.137194 | + | 0.331216i | −0.977513 | − | 0.210877i | \(-0.932368\pi\) |
0.840318 | + | 0.542093i | \(0.182368\pi\) | |||||||
\(828\) | 1.39952 | − | 16.4915i | 0.0486366 | − | 0.573120i | ||||
\(829\) | 46.9698 | − | 19.4555i | 1.63133 | − | 0.675718i | 0.635948 | − | 0.771732i | \(-0.280609\pi\) |
0.995380 | + | 0.0960132i | \(0.0306091\pi\) | |||||||
\(830\) | 4.54130 | − | 6.92116i | 0.157631 | − | 0.240237i | ||||
\(831\) | 20.5370 | + | 34.3892i | 0.712421 | + | 1.19295i | ||||
\(832\) | 17.4400 | − | 11.2719i | 0.604624 | − | 0.390783i | ||||
\(833\) | 21.3160 | − | 12.3068i | 0.738557 | − | 0.426406i | ||||
\(834\) | 0.296303 | − | 0.466443i | 0.0102601 | − | 0.0161516i | ||||
\(835\) | 29.8373 | + | 3.92816i | 1.03256 | + | 0.135940i | ||||
\(836\) | 67.6912 | + | 7.76209i | 2.34115 | + | 0.268458i | ||||
\(837\) | −3.57860 | − | 20.2204i | −0.123694 | − | 0.698920i | ||||
\(838\) | −1.07718 | − | 3.08817i | −0.0372107 | − | 0.106679i | ||||
\(839\) | −16.9392 | + | 4.53883i | −0.584805 | + | 0.156698i | −0.539078 | − | 0.842256i | \(-0.681227\pi\) |
−0.0457270 | + | 0.998954i | \(0.514560\pi\) | |||||||
\(840\) | −12.4376 | + | 1.31453i | −0.429139 | + | 0.0453556i | ||||
\(841\) | 68.1965 | + | 18.2732i | 2.35161 | + | 0.630111i | ||||
\(842\) | 3.29807 | + | 44.5994i | 0.113659 | + | 1.53700i | ||||
\(843\) | −1.66709 | + | 0.244551i | −0.0574175 | + | 0.00842279i | ||||
\(844\) | −3.86390 | + | 15.4496i | −0.133001 | + | 0.531797i | ||||
\(845\) | 11.6876 | − | 4.84115i | 0.402065 | − | 0.166541i | ||||
\(846\) | −1.06675 | − | 4.47081i | −0.0366758 | − | 0.153710i | ||||
\(847\) | −23.8752 | −0.820361 | ||||||||
\(848\) | −1.04079 | − | 2.29261i | −0.0357410 | − | 0.0787284i | ||||
\(849\) | −32.8427 | + | 0.484636i | −1.12716 | + | 0.0166327i | ||||
\(850\) | −5.62359 | − | 1.85664i | −0.192888 | − | 0.0636823i | ||||
\(851\) | −11.5433 | + | 15.0435i | −0.395698 | + | 0.515684i | ||||
\(852\) | −33.8073 | − | 18.1243i | −1.15822 | − | 0.620929i | ||||
\(853\) | 22.5258 | − | 17.2846i | 0.771268 | − | 0.591815i | −0.146371 | − | 0.989230i | \(-0.546759\pi\) |
0.917639 | + | 0.397415i | \(0.130093\pi\) | |||||||
\(854\) | 3.19502 | + | 1.54252i | 0.109331 | + | 0.0527840i | ||||
\(855\) | 10.8455 | + | 36.1711i | 0.370910 | + | 1.23703i | ||||
\(856\) | −7.06415 | + | 11.1691i | −0.241448 | + | 0.381752i | ||||
\(857\) | −0.543927 | − | 2.02996i | −0.0185802 | − | 0.0693422i | 0.956013 | − | 0.293323i | \(-0.0947613\pi\) |
−0.974593 | + | 0.223981i | \(0.928095\pi\) | |||||||
\(858\) | 26.6585 | + | 22.3100i | 0.910105 | + | 0.761649i | ||||
\(859\) | 1.94185 | + | 14.7498i | 0.0662550 | + | 0.503257i | 0.992109 | + | 0.125376i | \(0.0400137\pi\) |
−0.925854 | + | 0.377881i | \(0.876653\pi\) | |||||||
\(860\) | −0.0987569 | − | 0.0389840i | −0.00336758 | − | 0.00132934i | ||||
\(861\) | 2.35109 | − | 20.1517i | 0.0801248 | − | 0.686767i | ||||
\(862\) | 12.0253 | − | 18.3272i | 0.409585 | − | 0.624227i | ||||
\(863\) | −9.45227 | −0.321759 | −0.160880 | − | 0.986974i | \(-0.551433\pi\) | ||||
−0.160880 | + | 0.986974i | \(0.551433\pi\) | |||||||
\(864\) | 3.23443 | − | 29.2154i | 0.110037 | − | 0.993927i | ||||
\(865\) | 34.1955 | 1.16268 | ||||||||
\(866\) | 2.52071 | − | 3.84168i | 0.0856571 | − | 0.130546i | ||||
\(867\) | −0.753511 | + | 6.45851i | −0.0255906 | + | 0.219342i | ||||
\(868\) | 3.66758 | − | 9.29097i | 0.124486 | − | 0.315356i | ||||
\(869\) | −1.30920 | − | 9.94432i | −0.0444114 | − | 0.337338i | ||||
\(870\) | 37.8714 | + | 31.6938i | 1.28396 | + | 1.07452i | ||||
\(871\) | −0.628724 | − | 2.34643i | −0.0213035 | − | 0.0795057i | ||||
\(872\) | −10.9575 | + | 2.46692i | −0.371068 | + | 0.0835406i | ||||
\(873\) | 29.0485 | − | 30.8156i | 0.983142 | − | 1.04295i | ||||
\(874\) | −21.8901 | − | 10.5683i | −0.740445 | − | 0.357479i | ||||
\(875\) | −11.9887 | + | 9.19929i | −0.405294 | + | 0.310993i | ||||
\(876\) | 13.7844 | − | 25.7121i | 0.465732 | − | 0.868730i | ||||
\(877\) | 15.0518 | − | 19.6159i | 0.508265 | − | 0.662383i | −0.466785 | − | 0.884371i | \(-0.654588\pi\) |
0.975049 | + | 0.221988i | \(0.0712544\pi\) | |||||||
\(878\) | 43.3196 | + | 14.3020i | 1.46196 | + | 0.482670i | ||||
\(879\) | 47.5148 | − | 0.701143i | 1.60264 | − | 0.0236490i | ||||
\(880\) | 44.1536 | − | 1.47787i | 1.48842 | − | 0.0498189i | ||||
\(881\) | −38.1147 | −1.28412 | −0.642059 | − | 0.766656i | \(-0.721919\pi\) | ||||
−0.642059 | + | 0.766656i | \(0.721919\pi\) | |||||||
\(882\) | 21.9693 | + | 6.54096i | 0.739746 | + | 0.220246i | ||||
\(883\) | −5.89871 | + | 2.44333i | −0.198507 | + | 0.0822245i | −0.479722 | − | 0.877420i | \(-0.659263\pi\) |
0.281215 | + | 0.959645i | \(0.409263\pi\) | |||||||
\(884\) | −22.9436 | − | 5.73814i | −0.771678 | − | 0.192994i | ||||
\(885\) | −35.9866 | + | 5.27901i | −1.20968 | + | 0.177452i | ||||
\(886\) | 2.69999 | + | 36.5116i | 0.0907079 | + | 1.22663i | ||||
\(887\) | 15.1366 | + | 4.05583i | 0.508236 | + | 0.136182i | 0.503820 | − | 0.863809i | \(-0.331928\pi\) |
0.00441648 | + | 0.999990i | \(0.498594\pi\) | |||||||
\(888\) | −21.1778 | + | 26.1834i | −0.710680 | + | 0.878656i | ||||
\(889\) | −6.38489 | + | 1.71082i | −0.214142 | + | 0.0573792i | ||||
\(890\) | −5.96298 | − | 17.0952i | −0.199880 | − | 0.573034i | ||||
\(891\) | 48.3214 | − | 9.28918i | 1.61883 | − | 0.311199i | ||||
\(892\) | 4.75934 | − | 41.5050i | 0.159354 | − | 1.38969i | ||||
\(893\) | −6.69275 | − | 0.881118i | −0.223964 | − | 0.0294855i | ||||
\(894\) | 19.9296 | − | 31.3733i | 0.666544 | − | 1.04928i | ||||
\(895\) | 34.0786 | − | 19.6753i | 1.13912 | − | 0.657673i | ||||
\(896\) | 8.78212 | − | 11.2831i | 0.293390 | − | 0.376942i | ||||
\(897\) | −6.35866 | − | 10.6476i | −0.212310 | − | 0.355512i | ||||
\(898\) | 17.0887 | − | 26.0440i | 0.570256 | − | 0.869099i | ||||
\(899\) | −36.4381 | + | 15.0932i | −1.21528 | + | 0.503385i | ||||
\(900\) | −2.34386 | − | 4.99241i | −0.0781287 | − | 0.166414i | ||||
\(901\) | −1.09737 | + | 2.64928i | −0.0365586 | + | 0.0882603i | ||||
\(902\) | −13.3927 | + | 70.4023i | −0.445928 | + | 2.34414i | ||||
\(903\) | −0.0412708 | − | 0.0400705i | −0.00137341 | − | 0.00133346i | ||||
\(904\) | −31.3336 | + | 11.5209i | −1.04214 | + | 0.383181i | ||||
\(905\) | −9.15123 | + | 34.1529i | −0.304197 | + | 1.13528i | ||||
\(906\) | 20.8621 | − | 44.8916i | 0.693097 | − | 1.49142i | ||||
\(907\) | 3.39309 | + | 4.42196i | 0.112666 | + | 0.146829i | 0.846282 | − | 0.532735i | \(-0.178836\pi\) |
−0.733616 | + | 0.679564i | \(0.762169\pi\) | |||||||
\(908\) | −36.4698 | + | 10.4290i | −1.21029 | + | 0.346098i | ||||
\(909\) | 31.3979 | − | 14.1047i | 1.04140 | − | 0.467825i | ||||
\(910\) | −6.99400 | + | 6.23784i | −0.231849 | + | 0.206782i | ||||
\(911\) | −12.3305 | − | 7.11904i | −0.408529 | − | 0.235864i | 0.281628 | − | 0.959524i | \(-0.409125\pi\) |
−0.690157 | + | 0.723659i | \(0.742459\pi\) | |||||||
\(912\) | −38.3833 | − | 19.7581i | −1.27100 | − | 0.654257i | ||||
\(913\) | −13.7198 | + | 7.92112i | −0.454058 | + | 0.262151i | ||||
\(914\) | 8.21052 | − | 24.8689i | 0.271580 | − | 0.822590i | ||||
\(915\) | 0.804895 | − | 6.89893i | 0.0266090 | − | 0.228071i | ||||
\(916\) | −0.788648 | − | 1.31469i | −0.0260577 | − | 0.0434384i | ||||
\(917\) | −2.44681 | + | 5.90713i | −0.0808009 | + | 0.195071i | ||||
\(918\) | −26.8183 | + | 20.0375i | −0.885136 | + | 0.661335i | ||||
\(919\) | −31.7164 | − | 31.7164i | −1.04623 | − | 1.04623i | −0.998878 | − | 0.0473494i | \(-0.984923\pi\) |
−0.0473494 | − | 0.998878i | \(-0.515077\pi\) | |||||||
\(920\) | −15.0470 | − | 4.69015i | −0.496086 | − | 0.154630i | ||||
\(921\) | 1.90541 | + | 6.71326i | 0.0627854 | + | 0.221209i | ||||
\(922\) | 3.32415 | − | 3.85504i | 0.109475 | − | 0.126959i | ||||
\(923\) | −28.4971 | + | 3.75172i | −0.937995 | + | 0.123489i | ||||
\(924\) | 22.3907 | + | 8.45899i | 0.736600 | + | 0.278280i | ||||
\(925\) | −0.824754 | + | 6.26463i | −0.0271177 | + | 0.205980i | ||||
\(926\) | −1.28021 | + | 22.4019i | −0.0420702 | + | 0.736171i | ||||
\(927\) | −31.2032 | − | 16.8077i | −1.02485 | − | 0.552036i | ||||
\(928\) | −56.1314 | + | 6.04459i | −1.84260 | + | 0.198423i | ||||
\(929\) | 14.5035 | + | 8.37358i | 0.475843 | + | 0.274728i | 0.718683 | − | 0.695338i | \(-0.244745\pi\) |
−0.242839 | + | 0.970067i | \(0.578079\pi\) | |||||||
\(930\) | −19.5373 | − | 0.827508i | −0.640653 | − | 0.0271351i | ||||
\(931\) | 20.4943 | − | 26.7087i | 0.671674 | − | 0.875343i | ||||
\(932\) | −0.752883 | + | 1.90726i | −0.0246615 | + | 0.0624742i | ||||
\(933\) | −12.7719 | + | 32.1685i | −0.418133 | + | 1.05315i | ||||
\(934\) | −5.33727 | + | 28.0568i | −0.174641 | + | 0.918046i | ||||
\(935\) | −35.5784 | − | 35.5784i | −1.16354 | − | 1.16354i | ||||
\(936\) | −10.8051 | − | 19.1927i | −0.353176 | − | 0.627334i | ||||
\(937\) | 31.8100 | − | 31.8100i | 1.03919 | − | 1.03919i | 0.0399880 | − | 0.999200i | \(-0.487268\pi\) |
0.999200 | − | 0.0399880i | \(-0.0127320\pi\) | |||||||
\(938\) | −0.940855 | − | 1.38291i | −0.0307200 | − | 0.0451535i | ||||
\(939\) | −2.96152 | − | 20.1884i | −0.0966454 | − | 0.658824i | ||||
\(940\) | −4.37638 | + | 0.0732206i | −0.142742 | + | 0.00238819i | ||||
\(941\) | −31.1264 | − | 23.8842i | −1.01469 | − | 0.778602i | −0.0393344 | − | 0.999226i | \(-0.512524\pi\) |
−0.975359 | + | 0.220625i | \(0.929190\pi\) | |||||||
\(942\) | 14.5566 | − | 3.24703i | 0.474279 | − | 0.105794i | ||||
\(943\) | 12.7836 | − | 22.1418i | 0.416290 | − | 0.721036i | ||||
\(944\) | 24.1950 | − | 33.8165i | 0.787480 | − | 1.10063i | ||||
\(945\) | 0.587017 | + | 13.2526i | 0.0190957 | + | 0.431106i | ||||
\(946\) | 0.135246 | + | 0.151641i | 0.00439722 | + | 0.00493026i | ||||
\(947\) | 54.9180 | + | 7.23009i | 1.78459 | + | 0.234946i | 0.949193 | − | 0.314694i | \(-0.101902\pi\) |
0.835401 | + | 0.549641i | \(0.185235\pi\) | |||||||
\(948\) | −1.45076 | + | 6.18727i | −0.0471186 | + | 0.200953i | ||||
\(949\) | −2.85336 | − | 21.6734i | −0.0926240 | − | 0.703549i | ||||
\(950\) | −8.07804 | + | 0.597362i | −0.262086 | + | 0.0193810i | ||||
\(951\) | −1.22901 | + | 4.87322i | −0.0398532 | + | 0.158025i | ||||
\(952\) | −16.2176 | + | 1.47243i | −0.525614 | + | 0.0477216i | ||||
\(953\) | −1.73657 | + | 1.73657i | −0.0562531 | + | 0.0562531i | −0.734674 | − | 0.678421i | \(-0.762665\pi\) |
0.678421 | + | 0.734674i | \(0.262665\pi\) | |||||||
\(954\) | −2.49448 | + | 0.953552i | −0.0807619 | + | 0.0308724i | ||||
\(955\) | 33.8953 | + | 14.0399i | 1.09683 | + | 0.454321i | ||||
\(956\) | 47.4751 | + | 35.1830i | 1.53546 | + | 1.13790i | ||||
\(957\) | −37.4513 | − | 86.7715i | −1.21063 | − | 2.80493i | ||||
\(958\) | −49.7411 | + | 25.0490i | −1.60706 | + | 0.809296i | ||||
\(959\) | 2.93834 | + | 5.08935i | 0.0948838 | + | 0.164344i | ||||
\(960\) | −26.5012 | − | 9.01094i | −0.855324 | − | 0.290827i | ||||
\(961\) | −7.69125 | + | 13.3216i | −0.248105 | + | 0.429730i | ||||
\(962\) | −1.43970 | + | 25.1927i | −0.0464177 | + | 0.812246i | ||||
\(963\) | 11.3675 | + | 8.20130i | 0.366314 | + | 0.264283i | ||||
\(964\) | −3.24055 | + | 28.2600i | −0.104371 | + | 0.910195i | ||||
\(965\) | 12.9331 | − | 9.92392i | 0.416331 | − | 0.319462i | ||||
\(966\) | −6.54852 | − | 5.48033i | −0.210695 | − | 0.176327i | ||||
\(967\) | −10.9299 | − | 2.92865i | −0.351481 | − | 0.0941790i | 0.0787589 | − | 0.996894i | \(-0.474904\pi\) |
−0.430240 | + | 0.902715i | \(0.641571\pi\) | |||||||
\(968\) | −48.5017 | − | 22.4235i | −1.55890 | − | 0.720718i | ||||
\(969\) | 13.4247 | + | 47.2989i | 0.431265 | + | 1.51946i | ||||
\(970\) | −22.6847 | − | 33.3429i | −0.728362 | − | 1.07058i | ||||
\(971\) | −25.6462 | − | 10.6230i | −0.823027 | − | 0.340909i | −0.0688884 | − | 0.997624i | \(-0.521945\pi\) |
−0.754138 | + | 0.656715i | \(0.771945\pi\) | |||||||
\(972\) | −30.7206 | − | 5.31434i | −0.985365 | − | 0.170458i | ||||
\(973\) | −0.109105 | − | 0.263403i | −0.00349775 | − | 0.00844431i | ||||
\(974\) | −29.7474 | + | 6.17624i | −0.953169 | + | 0.197900i | ||||
\(975\) | −3.60907 | − | 2.01329i | −0.115583 | − | 0.0644769i | ||||
\(976\) | 5.04186 | + | 6.13434i | 0.161386 | + | 0.196356i | ||||
\(977\) | 7.94833 | + | 13.7669i | 0.254290 | + | 0.440443i | 0.964702 | − | 0.263343i | \(-0.0848250\pi\) |
−0.710413 | + | 0.703785i | \(0.751492\pi\) | |||||||
\(978\) | 34.1276 | + | 10.7115i | 1.09128 | + | 0.342516i | ||||
\(979\) | −4.52266 | + | 34.3530i | −0.144545 | + | 1.09793i | ||||
\(980\) | 10.5965 | − | 19.0841i | 0.338494 | − | 0.609618i | ||||
\(981\) | 1.90280 | + | 11.7601i | 0.0607516 | + | 0.375473i | ||||
\(982\) | −2.83607 | + | 5.87434i | −0.0905025 | + | 0.187458i | ||||
\(983\) | −7.80698 | − | 29.1360i | −0.249004 | − | 0.929295i | −0.971329 | − | 0.237741i | \(-0.923593\pi\) |
0.722325 | − | 0.691554i | \(-0.243074\pi\) | |||||||
\(984\) | 23.7025 | − | 38.7293i | 0.755609 | − | 1.23465i | ||||
\(985\) | 5.82556 | − | 21.7413i | 0.185618 | − | 0.692734i | ||||
\(986\) | 48.6952 | + | 41.9892i | 1.55077 | + | 1.33721i | ||||
\(987\) | −2.20404 | − | 0.875073i | −0.0701555 | − | 0.0278539i | ||||
\(988\) | −31.9961 | + | 4.75817i | −1.01793 | + | 0.151378i | ||||
\(989\) | −0.0277408 | − | 0.0669722i | −0.000882105 | − | 0.00212959i | ||||
\(990\) | 1.29194 | − | 46.8403i | 0.0410605 | − | 1.48868i | ||||
\(991\) | − | 8.80828i | − | 0.279804i | −0.990165 | − | 0.139902i | \(-0.955321\pi\) | ||
0.990165 | − | 0.139902i | \(-0.0446788\pi\) | |||||||
\(992\) | 16.1766 | − | 15.4297i | 0.513608 | − | 0.489895i | ||||
\(993\) | 36.5513 | − | 21.8282i | 1.15992 | − | 0.692697i | ||||
\(994\) | −17.6760 | + | 8.90144i | −0.560650 | + | 0.282336i | ||||
\(995\) | −7.49149 | − | 5.74842i | −0.237496 | − | 0.182237i | ||||
\(996\) | 9.90557 | − | 1.62280i | 0.313870 | − | 0.0514203i | ||||
\(997\) | −19.1310 | − | 24.9320i | −0.605885 | − | 0.789605i | 0.385200 | − | 0.922833i | \(-0.374132\pi\) |
−0.991085 | + | 0.133228i | \(0.957466\pi\) | |||||||
\(998\) | 19.5272 | + | 55.9823i | 0.618122 | + | 1.77209i | ||||
\(999\) | 26.3498 | + | 24.1145i | 0.833672 | + | 0.762950i |
(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 | 288.2.bf.a.11.9 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bn.a.683.38 | 368 | |||
9.4 | even | 3 | 864.2.bn.a.395.39 | 368 | |||
9.5 | odd | 6 | inner | 288.2.bf.a.203.8 | yes | 368 | |
32.3 | odd | 8 | inner | 288.2.bf.a.227.8 | yes | 368 | |
96.35 | even | 8 | 864.2.bn.a.35.39 | 368 | |||
288.67 | odd | 24 | 864.2.bn.a.611.38 | 368 | |||
288.131 | even | 24 | inner | 288.2.bf.a.131.9 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bf.a.11.9 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bf.a.131.9 | yes | 368 | 288.131 | even | 24 | inner | |
288.2.bf.a.203.8 | yes | 368 | 9.5 | odd | 6 | inner | |
288.2.bf.a.227.8 | yes | 368 | 32.3 | odd | 8 | inner | |
864.2.bn.a.35.39 | 368 | 96.35 | even | 8 | |||
864.2.bn.a.395.39 | 368 | 9.4 | even | 3 | |||
864.2.bn.a.611.38 | 368 | 288.67 | odd | 24 | |||
864.2.bn.a.683.38 | 368 | 3.2 | odd | 2 |