Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [81,2,Mod(4,81)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(81, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("81.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 81 = 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 81.g (of order \(27\), degree \(18\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.646788256372\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 81.4 |
Dual form | 81.2.g.a.61.7 |
$q$-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 \(\left(\mathbb{Z}/81\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{27}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.69853 | + | 0.198530i | 1.20104 | + | 0.140382i | 0.692991 | − | 0.720946i | \(-0.256292\pi\) |
0.508050 | + | 0.861328i | \(0.330367\pi\) | |||||||
\(3\) | −1.07544 | + | 1.35773i | −0.620905 | + | 0.783886i | ||||
\(4\) | 0.899496 | + | 0.213184i | 0.449748 | + | 0.106592i | ||||
\(5\) | 1.22732 | − | 0.616384i | 0.548875 | − | 0.275655i | −0.152674 | − | 0.988277i | \(-0.548788\pi\) |
0.701549 | + | 0.712621i | \(0.252492\pi\) | |||||||
\(6\) | −2.09621 | + | 2.09264i | −0.855776 | + | 0.854315i | ||||
\(7\) | 0.0889729 | − | 0.297190i | 0.0336286 | − | 0.112327i | −0.939527 | − | 0.342474i | \(-0.888735\pi\) |
0.973156 | + | 0.230146i | \(0.0739205\pi\) | |||||||
\(8\) | −1.72842 | − | 0.629095i | −0.611091 | − | 0.222419i | ||||
\(9\) | −0.686860 | − | 2.92031i | −0.228953 | − | 0.973437i | ||||
\(10\) | 2.20701 | − | 0.803287i | 0.697918 | − | 0.254022i | ||||
\(11\) | 0.140180 | + | 2.40680i | 0.0422659 | + | 0.725678i | 0.951169 | + | 0.308671i | \(0.0998841\pi\) |
−0.908903 | + | 0.417008i | \(0.863079\pi\) | |||||||
\(12\) | −1.25680 | + | 0.992005i | −0.362807 | + | 0.286367i | ||||
\(13\) | −2.75712 | − | 3.70345i | −0.764687 | − | 1.02715i | −0.998494 | − | 0.0548697i | \(-0.982526\pi\) |
0.233807 | − | 0.972283i | \(-0.424882\pi\) | |||||||
\(14\) | 0.210124 | − | 0.487122i | 0.0561580 | − | 0.130189i | ||||
\(15\) | −0.483027 | + | 2.32926i | −0.124717 | + | 0.601411i | ||||
\(16\) | −4.46306 | − | 2.24143i | −1.11576 | − | 0.560358i | ||||
\(17\) | 0.161307 | + | 0.135352i | 0.0391226 | + | 0.0328277i | 0.662139 | − | 0.749381i | \(-0.269649\pi\) |
−0.623017 | + | 0.782209i | \(0.714093\pi\) | |||||||
\(18\) | −0.586883 | − | 5.09660i | −0.138330 | − | 1.20128i | ||||
\(19\) | 2.66964 | − | 2.24009i | 0.612457 | − | 0.513913i | −0.282965 | − | 0.959130i | \(-0.591318\pi\) |
0.895422 | + | 0.445218i | \(0.146874\pi\) | |||||||
\(20\) | 1.23537 | − | 0.292789i | 0.276238 | − | 0.0654696i | ||||
\(21\) | 0.307819 | + | 0.440411i | 0.0671716 | + | 0.0961056i | ||||
\(22\) | −0.239721 | + | 4.11585i | −0.0511087 | + | 0.877503i | ||||
\(23\) | 2.29728 | + | 7.67346i | 0.479017 | + | 1.60003i | 0.766502 | + | 0.642242i | \(0.221996\pi\) |
−0.287485 | + | 0.957785i | \(0.592819\pi\) | |||||||
\(24\) | 2.71296 | − | 1.67018i | 0.553780 | − | 0.340924i | ||||
\(25\) | −1.85940 | + | 2.49761i | −0.371881 | + | 0.499522i | ||||
\(26\) | −3.94780 | − | 6.83779i | −0.774227 | − | 1.34100i | ||||
\(27\) | 4.70367 | + | 2.20805i | 0.905222 | + | 0.424939i | ||||
\(28\) | 0.143387 | − | 0.248354i | 0.0270976 | − | 0.0469344i | ||||
\(29\) | 3.29291 | + | 7.63382i | 0.611478 | + | 1.41756i | 0.889475 | + | 0.456983i | \(0.151070\pi\) |
−0.277998 | + | 0.960582i | \(0.589671\pi\) | |||||||
\(30\) | −1.28286 | + | 3.86041i | −0.234217 | + | 0.704812i | ||||
\(31\) | −0.550159 | + | 0.583135i | −0.0988115 | + | 0.104734i | −0.774892 | − | 0.632094i | \(-0.782196\pi\) |
0.676080 | + | 0.736828i | \(0.263677\pi\) | |||||||
\(32\) | −4.06213 | − | 2.67170i | −0.718090 | − | 0.472295i | ||||
\(33\) | −3.41854 | − | 2.39804i | −0.595092 | − | 0.417446i | ||||
\(34\) | 0.247112 | + | 0.261924i | 0.0423794 | + | 0.0449196i | ||||
\(35\) | −0.0739849 | − | 0.419589i | −0.0125057 | − | 0.0709236i | ||||
\(36\) | 0.00473728 | − | 2.77324i | 0.000789547 | − | 0.462206i | ||||
\(37\) | 1.88786 | − | 10.7066i | 0.310362 | − | 1.76015i | −0.286764 | − | 0.958001i | \(-0.592580\pi\) |
0.597126 | − | 0.802148i | \(-0.296309\pi\) | |||||||
\(38\) | 4.97918 | − | 3.27486i | 0.807730 | − | 0.531252i | ||||
\(39\) | 7.99340 | + | 0.239417i | 1.27997 | + | 0.0383375i | ||||
\(40\) | −2.50910 | + | 0.293272i | −0.396723 | + | 0.0463703i | ||||
\(41\) | −4.66578 | + | 0.545352i | −0.728673 | + | 0.0851697i | −0.472337 | − | 0.881418i | \(-0.656589\pi\) |
−0.256336 | + | 0.966588i | \(0.582515\pi\) | |||||||
\(42\) | 0.435405 | + | 0.809162i | 0.0671844 | + | 0.124856i | ||||
\(43\) | −6.21456 | + | 4.08738i | −0.947711 | + | 0.623319i | −0.926435 | − | 0.376454i | \(-0.877143\pi\) |
−0.0212756 | + | 0.999774i | \(0.506773\pi\) | |||||||
\(44\) | −0.387001 | + | 2.19479i | −0.0583426 | + | 0.330877i | ||||
\(45\) | −2.64303 | − | 3.16079i | −0.394000 | − | 0.471183i | ||||
\(46\) | 2.37859 | + | 13.4897i | 0.350704 | + | 1.98894i | ||||
\(47\) | −4.27143 | − | 4.52745i | −0.623052 | − | 0.660397i | 0.336580 | − | 0.941655i | \(-0.390730\pi\) |
−0.959632 | + | 0.281258i | \(0.909248\pi\) | |||||||
\(48\) | 7.84301 | − | 3.64910i | 1.13204 | − | 0.526702i | ||||
\(49\) | 5.76801 | + | 3.79368i | 0.824001 | + | 0.541954i | ||||
\(50\) | −3.65410 | + | 3.87312i | −0.516768 | + | 0.547742i | ||||
\(51\) | −0.357247 | + | 0.0734475i | −0.0500246 | + | 0.0102847i | ||||
\(52\) | −1.69050 | − | 3.91901i | −0.234430 | − | 0.543470i | ||||
\(53\) | 4.27003 | − | 7.39591i | 0.586533 | − | 1.01591i | −0.408149 | − | 0.912915i | \(-0.633826\pi\) |
0.994682 | − | 0.102990i | \(-0.0328411\pi\) | |||||||
\(54\) | 7.55096 | + | 4.68425i | 1.02756 | + | 0.637446i | ||||
\(55\) | 1.65556 | + | 2.86752i | 0.223236 | + | 0.386656i | ||||
\(56\) | −0.340744 | + | 0.457698i | −0.0455338 | + | 0.0611625i | ||||
\(57\) | 0.170406 | + | 6.03373i | 0.0225708 | + | 0.799187i | ||||
\(58\) | 4.07756 | + | 13.6200i | 0.535410 | + | 1.78839i | ||||
\(59\) | 0.410699 | − | 7.05143i | 0.0534685 | − | 0.918018i | −0.859793 | − | 0.510643i | \(-0.829407\pi\) |
0.913261 | − | 0.407375i | \(-0.133556\pi\) | |||||||
\(60\) | −0.931042 | + | 1.99218i | −0.120197 | + | 0.257190i | ||||
\(61\) | 9.74699 | − | 2.31008i | 1.24797 | − | 0.295775i | 0.447032 | − | 0.894518i | \(-0.352481\pi\) |
0.800941 | + | 0.598743i | \(0.204333\pi\) | |||||||
\(62\) | −1.05023 | + | 0.881248i | −0.133379 | + | 0.111919i | ||||
\(63\) | −0.929000 | − | 0.0557005i | −0.117043 | − | 0.00701761i | ||||
\(64\) | 1.28246 | + | 1.07611i | 0.160308 | + | 0.134514i | ||||
\(65\) | −5.66662 | − | 2.84588i | −0.702858 | − | 0.352988i | ||||
\(66\) | −5.33041 | − | 4.75183i | −0.656128 | − | 0.584909i | ||||
\(67\) | −0.497063 | + | 1.15232i | −0.0607259 | + | 0.140778i | −0.945877 | − | 0.324525i | \(-0.894796\pi\) |
0.885151 | + | 0.465303i | \(0.154055\pi\) | |||||||
\(68\) | 0.116240 | + | 0.156137i | 0.0140961 | + | 0.0189344i | ||||
\(69\) | −12.8891 | − | 5.13325i | −1.55166 | − | 0.617971i | ||||
\(70\) | −0.0423646 | − | 0.727373i | −0.00506354 | − | 0.0869377i | ||||
\(71\) | −1.68007 | + | 0.611494i | −0.199387 | + | 0.0725710i | −0.439784 | − | 0.898104i | \(-0.644945\pi\) |
0.240396 | + | 0.970675i | \(0.422723\pi\) | |||||||
\(72\) | −0.649968 | + | 5.47964i | −0.0765995 | + | 0.645782i | ||||
\(73\) | −12.6834 | − | 4.61640i | −1.48448 | − | 0.540308i | −0.532494 | − | 0.846434i | \(-0.678745\pi\) |
−0.951991 | + | 0.306126i | \(0.900967\pi\) | |||||||
\(74\) | 5.33215 | − | 17.8106i | 0.619850 | − | 2.07044i | ||||
\(75\) | −1.39141 | − | 5.21060i | −0.160666 | − | 0.601668i | ||||
\(76\) | 2.87888 | − | 1.44583i | 0.330230 | − | 0.165848i | ||||
\(77\) | 0.727750 | + | 0.172480i | 0.0829348 | + | 0.0196559i | ||||
\(78\) | 13.5295 | + | 1.99358i | 1.53191 | + | 0.225729i | ||||
\(79\) | 3.14586 | + | 0.367698i | 0.353937 | + | 0.0413693i | 0.291204 | − | 0.956661i | \(-0.405944\pi\) |
0.0627332 | + | 0.998030i | \(0.480018\pi\) | |||||||
\(80\) | −6.85919 | −0.766881 | ||||||||
\(81\) | −8.05645 | + | 4.01169i | −0.895161 | + | 0.445744i | ||||
\(82\) | −8.03324 | −0.887123 | ||||||||
\(83\) | −0.796837 | − | 0.0931369i | −0.0874642 | − | 0.0102231i | 0.0722482 | − | 0.997387i | \(-0.476983\pi\) |
−0.159712 | + | 0.987164i | \(0.551057\pi\) | |||||||
\(84\) | 0.182993 | + | 0.461770i | 0.0199662 | + | 0.0503833i | ||||
\(85\) | 0.281404 | + | 0.0666940i | 0.0305226 | + | 0.00723398i | ||||
\(86\) | −11.3671 | + | 5.70875i | −1.22574 | + | 0.615591i | ||||
\(87\) | −13.9060 | − | 3.73883i | −1.49088 | − | 0.400845i | ||||
\(88\) | 1.27182 | − | 4.24816i | 0.135576 | − | 0.452856i | ||||
\(89\) | 12.2626 | + | 4.46322i | 1.29983 | + | 0.473101i | 0.896942 | − | 0.442147i | \(-0.145783\pi\) |
0.402891 | + | 0.915248i | \(0.368005\pi\) | |||||||
\(90\) | −3.86176 | − | 5.89342i | −0.407065 | − | 0.621221i | ||||
\(91\) | −1.34594 | + | 0.489881i | −0.141093 | + | 0.0513535i | ||||
\(92\) | 0.430534 | + | 7.39199i | 0.0448863 | + | 0.770668i | ||||
\(93\) | −0.200076 | − | 1.37409i | −0.0207470 | − | 0.142487i | ||||
\(94\) | −6.35631 | − | 8.53801i | −0.655604 | − | 0.880628i | ||||
\(95\) | 1.89575 | − | 4.39484i | 0.194500 | − | 0.450901i | ||||
\(96\) | 7.99603 | − | 2.64202i | 0.816091 | − | 0.269650i | ||||
\(97\) | −5.96090 | − | 2.99368i | −0.605237 | − | 0.303962i | 0.119664 | − | 0.992814i | \(-0.461818\pi\) |
−0.724901 | + | 0.688853i | \(0.758115\pi\) | |||||||
\(98\) | 9.04397 | + | 7.58879i | 0.913579 | + | 0.766584i | ||||
\(99\) | 6.93233 | − | 2.06251i | 0.696725 | − | 0.207290i | ||||
\(100\) | −2.20498 | + | 1.85020i | −0.220498 | + | 0.185020i | ||||
\(101\) | −9.06888 | + | 2.14936i | −0.902387 | + | 0.213870i | −0.655518 | − | 0.755179i | \(-0.727550\pi\) |
−0.246869 | + | 0.969049i | \(0.579402\pi\) | |||||||
\(102\) | −0.621376 | + | 0.0538286i | −0.0615254 | + | 0.00532983i | ||||
\(103\) | 0.0763459 | − | 1.31081i | 0.00752258 | − | 0.129158i | −0.992456 | − | 0.122602i | \(-0.960876\pi\) |
0.999979 | − | 0.00655584i | \(-0.00208680\pi\) | |||||||
\(104\) | 2.43565 | + | 8.13563i | 0.238835 | + | 0.797764i | ||||
\(105\) | 0.649255 | + | 0.350791i | 0.0633608 | + | 0.0342337i | ||||
\(106\) | 8.72107 | − | 11.7144i | 0.847065 | − | 1.13781i | ||||
\(107\) | 0.386855 | + | 0.670052i | 0.0373987 | + | 0.0647764i | 0.884119 | − | 0.467262i | \(-0.154760\pi\) |
−0.846720 | + | 0.532038i | \(0.821426\pi\) | |||||||
\(108\) | 3.76021 | + | 2.98888i | 0.361826 | + | 0.287605i | ||||
\(109\) | 1.03104 | − | 1.78582i | 0.0987559 | − | 0.171050i | −0.812414 | − | 0.583081i | \(-0.801847\pi\) |
0.911170 | + | 0.412031i | \(0.135180\pi\) | |||||||
\(110\) | 2.24273 | + | 5.19924i | 0.213836 | + | 0.495728i | ||||
\(111\) | 12.5063 | + | 14.0775i | 1.18705 | + | 1.33617i | ||||
\(112\) | −1.06322 | + | 1.12695i | −0.100465 | + | 0.106487i | ||||
\(113\) | 4.91077 | + | 3.22986i | 0.461966 | + | 0.303840i | 0.759074 | − | 0.651004i | \(-0.225652\pi\) |
−0.297108 | + | 0.954844i | \(0.596022\pi\) | |||||||
\(114\) | −0.908434 | + | 10.2823i | −0.0850827 | + | 0.963025i | ||||
\(115\) | 7.54931 | + | 8.00180i | 0.703977 | + | 0.746171i | ||||
\(116\) | 1.33455 | + | 7.56859i | 0.123909 | + | 0.702726i | ||||
\(117\) | −8.92148 | + | 10.5954i | −0.824791 | + | 0.979545i | ||||
\(118\) | 2.09750 | − | 11.8955i | 0.193091 | − | 1.09507i | ||||
\(119\) | 0.0545773 | − | 0.0358960i | 0.00500309 | − | 0.00329058i | ||||
\(120\) | 2.30020 | − | 3.72207i | 0.209979 | − | 0.339777i | ||||
\(121\) | 5.15258 | − | 0.602250i | 0.468416 | − | 0.0547500i | ||||
\(122\) | 17.0142 | − | 1.98867i | 1.54039 | − | 0.180046i | ||||
\(123\) | 4.27733 | − | 6.92137i | 0.385674 | − | 0.624079i | ||||
\(124\) | −0.619181 | + | 0.407242i | −0.0556041 | + | 0.0365714i | ||||
\(125\) | −1.93505 | + | 10.9742i | −0.173076 | + | 0.981562i | ||||
\(126\) | −1.56687 | − | 0.279043i | −0.139588 | − | 0.0248591i | ||||
\(127\) | 1.81538 | + | 10.2955i | 0.161089 | + | 0.913580i | 0.953006 | + | 0.302951i | \(0.0979720\pi\) |
−0.791917 | + | 0.610628i | \(0.790917\pi\) | |||||||
\(128\) | 8.63765 | + | 9.15537i | 0.763468 | + | 0.809228i | ||||
\(129\) | 1.13382 | − | 12.8334i | 0.0998276 | − | 1.12992i | ||||
\(130\) | −9.05993 | − | 5.95881i | −0.794608 | − | 0.522622i | ||||
\(131\) | 4.11030 | − | 4.35667i | 0.359119 | − | 0.380644i | −0.522473 | − | 0.852656i | \(-0.674991\pi\) |
0.881592 | + | 0.472012i | \(0.156472\pi\) | |||||||
\(132\) | −2.56374 | − | 2.88581i | −0.223145 | − | 0.251178i | ||||
\(133\) | −0.428208 | − | 0.992698i | −0.0371303 | − | 0.0860778i | ||||
\(134\) | −1.07305 | + | 1.85857i | −0.0926970 | + | 0.160556i | ||||
\(135\) | 7.13393 | − | 0.189282i | 0.613991 | − | 0.0162908i | ||||
\(136\) | −0.193657 | − | 0.335423i | −0.0166059 | − | 0.0287623i | ||||
\(137\) | 0.693717 | − | 0.931823i | 0.0592682 | − | 0.0796110i | −0.771501 | − | 0.636228i | \(-0.780494\pi\) |
0.830769 | + | 0.556617i | \(0.187901\pi\) | |||||||
\(138\) | −20.8734 | − | 11.2778i | −1.77686 | − | 0.960033i | ||||
\(139\) | −4.67728 | − | 15.6232i | −0.396722 | − | 1.32514i | −0.890273 | − | 0.455427i | \(-0.849487\pi\) |
0.493551 | − | 0.869717i | \(-0.335699\pi\) | |||||||
\(140\) | 0.0229008 | − | 0.393191i | 0.00193547 | − | 0.0332307i | ||||
\(141\) | 10.7407 | − | 0.930448i | 0.904532 | − | 0.0783578i | ||||
\(142\) | −2.97504 | + | 0.705098i | −0.249660 | + | 0.0591705i | ||||
\(143\) | 8.52698 | − | 7.15499i | 0.713062 | − | 0.598330i | ||||
\(144\) | −3.48018 | + | 14.5731i | −0.290015 | + | 1.21442i | ||||
\(145\) | 8.74683 | + | 7.33946i | 0.726384 | + | 0.609509i | ||||
\(146\) | −20.6267 | − | 10.3591i | −1.70708 | − | 0.857327i | ||||
\(147\) | −11.3539 | + | 3.75153i | −0.936457 | + | 0.309421i | ||||
\(148\) | 3.98059 | − | 9.22805i | 0.327203 | − | 0.758541i | ||||
\(149\) | −5.33177 | − | 7.16181i | −0.436796 | − | 0.586719i | 0.528156 | − | 0.849148i | \(-0.322884\pi\) |
−0.964951 | + | 0.262429i | \(0.915476\pi\) | |||||||
\(150\) | −1.32889 | − | 9.12658i | −0.108503 | − | 0.745182i | ||||
\(151\) | 0.906740 | + | 15.5681i | 0.0737894 | + | 1.26692i | 0.808484 | + | 0.588518i | \(0.200288\pi\) |
−0.734695 | + | 0.678398i | \(0.762675\pi\) | |||||||
\(152\) | −6.02350 | + | 2.19238i | −0.488571 | + | 0.177825i | ||||
\(153\) | 0.284476 | − | 0.564034i | 0.0229985 | − | 0.0455994i | ||||
\(154\) | 1.20186 | + | 0.437442i | 0.0968488 | + | 0.0352501i | ||||
\(155\) | −0.315787 | + | 1.05480i | −0.0253647 | + | 0.0847238i | ||||
\(156\) | 7.13899 | + | 1.91942i | 0.571577 | + | 0.153677i | ||||
\(157\) | 10.9371 | − | 5.49283i | 0.872878 | − | 0.438376i | 0.0448048 | − | 0.998996i | \(-0.485733\pi\) |
0.828073 | + | 0.560620i | \(0.189437\pi\) | |||||||
\(158\) | 5.27034 | + | 1.24909i | 0.419285 | + | 0.0993725i | ||||
\(159\) | 5.44948 | + | 13.7514i | 0.432172 | + | 1.09056i | ||||
\(160\) | −6.63234 | − | 0.775209i | −0.524332 | − | 0.0612857i | ||||
\(161\) | 2.48487 | 0.195835 | ||||||||
\(162\) | −14.4805 | + | 5.21453i | −1.13770 | + | 0.409692i | ||||
\(163\) | −25.0816 | −1.96454 | −0.982271 | − | 0.187465i | \(-0.939973\pi\) | ||||
−0.982271 | + | 0.187465i | \(0.939973\pi\) | |||||||
\(164\) | −4.31311 | − | 0.504131i | −0.336798 | − | 0.0393660i | ||||
\(165\) | −5.67377 | − | 0.836035i | −0.441702 | − | 0.0650853i | ||||
\(166\) | −1.33496 | − | 0.316391i | −0.103613 | − | 0.0245567i | ||||
\(167\) | 7.19682 | − | 3.61438i | 0.556907 | − | 0.279689i | −0.148002 | − | 0.988987i | \(-0.547284\pi\) |
0.704909 | + | 0.709298i | \(0.250988\pi\) | |||||||
\(168\) | −0.254981 | − | 0.954865i | −0.0196722 | − | 0.0736694i | ||||
\(169\) | −2.38542 | + | 7.96785i | −0.183494 | + | 0.612911i | ||||
\(170\) | 0.464732 | + | 0.169149i | 0.0356433 | + | 0.0129731i | ||||
\(171\) | −8.37544 | − | 6.25755i | −0.640486 | − | 0.478527i | ||||
\(172\) | −6.46133 | + | 2.35173i | −0.492672 | + | 0.179318i | ||||
\(173\) | 1.03421 | + | 17.7567i | 0.0786295 | + | 1.35002i | 0.774830 | + | 0.632170i | \(0.217835\pi\) |
−0.696201 | + | 0.717847i | \(0.745128\pi\) | |||||||
\(174\) | −22.8775 | − | 9.11126i | −1.73434 | − | 0.690723i | ||||
\(175\) | 0.576829 | + | 0.774816i | 0.0436042 | + | 0.0585706i | ||||
\(176\) | 4.76905 | − | 11.0559i | 0.359481 | − | 0.833370i | ||||
\(177\) | 9.13226 | + | 8.14101i | 0.686423 | + | 0.611916i | ||||
\(178\) | 19.9423 | + | 10.0154i | 1.49474 | + | 0.750686i | ||||
\(179\) | −13.5735 | − | 11.3896i | −1.01453 | − | 0.851295i | −0.0256035 | − | 0.999672i | \(-0.508151\pi\) |
−0.988931 | + | 0.148377i | \(0.952595\pi\) | |||||||
\(180\) | −1.70357 | − | 3.40657i | −0.126976 | − | 0.253911i | ||||
\(181\) | 20.5130 | − | 17.2124i | 1.52472 | − | 1.27939i | 0.699377 | − | 0.714753i | \(-0.253461\pi\) |
0.825340 | − | 0.564636i | \(-0.190983\pi\) | |||||||
\(182\) | −2.38337 | + | 0.564869i | −0.176667 | + | 0.0418709i | ||||
\(183\) | −7.34583 | + | 15.7181i | −0.543019 | + | 1.16192i | ||||
\(184\) | 0.856656 | − | 14.7082i | 0.0631535 | − | 1.08430i | ||||
\(185\) | −4.28235 | − | 14.3040i | −0.314845 | − | 1.05165i | ||||
\(186\) | −0.0670374 | − | 2.37366i | −0.00491542 | − | 0.174045i | ||||
\(187\) | −0.303154 | + | 0.407207i | −0.0221688 | + | 0.0297779i | ||||
\(188\) | −2.87695 | − | 4.98303i | −0.209823 | − | 0.363424i | ||||
\(189\) | 1.07471 | − | 1.20143i | 0.0781736 | − | 0.0873910i | ||||
\(190\) | 4.09249 | − | 7.08840i | 0.296900 | − | 0.514246i | ||||
\(191\) | −1.24181 | − | 2.87885i | −0.0898545 | − | 0.208306i | 0.867363 | − | 0.497677i | \(-0.165813\pi\) |
−0.957217 | + | 0.289370i | \(0.906554\pi\) | |||||||
\(192\) | −2.84028 | + | 0.583941i | −0.204979 | + | 0.0421423i | ||||
\(193\) | −6.78035 | + | 7.18675i | −0.488060 | + | 0.517314i | −0.923860 | − | 0.382730i | \(-0.874984\pi\) |
0.435800 | + | 0.900043i | \(0.356465\pi\) | |||||||
\(194\) | −9.53042 | − | 6.26826i | −0.684244 | − | 0.450035i | ||||
\(195\) | 9.95805 | − | 4.63316i | 0.713111 | − | 0.331788i | ||||
\(196\) | 4.37955 | + | 4.64205i | 0.312825 | + | 0.331575i | ||||
\(197\) | 0.354010 | + | 2.00769i | 0.0252221 | + | 0.143042i | 0.994818 | − | 0.101669i | \(-0.0324182\pi\) |
−0.969596 | + | 0.244711i | \(0.921307\pi\) | |||||||
\(198\) | 12.1842 | − | 2.12695i | 0.865895 | − | 0.151156i | ||||
\(199\) | −2.26949 | + | 12.8709i | −0.160880 | + | 0.912396i | 0.792331 | + | 0.610091i | \(0.208867\pi\) |
−0.953211 | + | 0.302305i | \(0.902244\pi\) | |||||||
\(200\) | 4.78507 | − | 3.14719i | 0.338356 | − | 0.222540i | ||||
\(201\) | −1.02998 | − | 1.91413i | −0.0726492 | − | 0.135012i | ||||
\(202\) | −15.8305 | + | 1.85032i | −1.11383 | + | 0.130188i | ||||
\(203\) | 2.56168 | − | 0.299417i | 0.179794 | − | 0.0210149i | ||||
\(204\) | −0.337000 | − | 0.0100938i | −0.0235947 | − | 0.000706707i | ||||
\(205\) | −5.39027 | + | 3.54524i | −0.376473 | + | 0.247610i | ||||
\(206\) | 0.389910 | − | 2.21129i | 0.0271663 | − | 0.154068i | ||||
\(207\) | 20.8310 | − | 11.9794i | 1.44785 | − | 0.832624i | ||||
\(208\) | 4.00414 | + | 22.7086i | 0.277637 | + | 1.57456i | ||||
\(209\) | 5.76569 | + | 6.11128i | 0.398821 | + | 0.422726i | ||||
\(210\) | 1.03314 | + | 0.724726i | 0.0712932 | + | 0.0500108i | ||||
\(211\) | 13.2622 | + | 8.72269i | 0.913008 | + | 0.600495i | 0.916734 | − | 0.399498i | \(-0.130816\pi\) |
−0.00372605 | + | 0.999993i | \(0.501186\pi\) | |||||||
\(212\) | 5.41756 | − | 5.74228i | 0.372080 | − | 0.394382i | ||||
\(213\) | 0.976566 | − | 2.93870i | 0.0669132 | − | 0.201357i | ||||
\(214\) | 0.524059 | + | 1.21491i | 0.0358239 | + | 0.0830492i | ||||
\(215\) | −5.10787 | + | 8.84708i | −0.348354 | + | 0.603366i | ||||
\(216\) | −6.74087 | − | 6.77550i | −0.458658 | − | 0.461015i | ||||
\(217\) | 0.124353 | + | 0.215385i | 0.00844160 | + | 0.0146213i | ||||
\(218\) | 2.10579 | − | 2.82857i | 0.142622 | − | 0.191575i | ||||
\(219\) | 19.9081 | − | 12.2560i | 1.34526 | − | 0.828186i | ||||
\(220\) | 0.877861 | + | 2.93226i | 0.0591854 | + | 0.197693i | ||||
\(221\) | 0.0565295 | − | 0.970573i | 0.00380258 | − | 0.0652878i | ||||
\(222\) | 18.4476 | + | 26.3939i | 1.23812 | + | 1.77144i | ||||
\(223\) | −1.84454 | + | 0.437163i | −0.123519 | + | 0.0292746i | −0.291910 | − | 0.956446i | \(-0.594291\pi\) |
0.168391 | + | 0.985720i | \(0.446143\pi\) | |||||||
\(224\) | −1.15542 | + | 0.969515i | −0.0772000 | + | 0.0647785i | ||||
\(225\) | 8.57096 | + | 3.71453i | 0.571397 | + | 0.247635i | ||||
\(226\) | 7.69986 | + | 6.46095i | 0.512187 | + | 0.429776i | ||||
\(227\) | −22.8390 | − | 11.4702i | −1.51588 | − | 0.761301i | −0.520186 | − | 0.854053i | \(-0.674138\pi\) |
−0.995689 | + | 0.0927514i | \(0.970434\pi\) | |||||||
\(228\) | −1.13302 | + | 5.46364i | −0.0750360 | + | 0.361839i | ||||
\(229\) | −1.85823 | + | 4.30787i | −0.122795 | + | 0.284672i | −0.968515 | − | 0.248956i | \(-0.919912\pi\) |
0.845719 | + | 0.533628i | \(0.179172\pi\) | |||||||
\(230\) | 11.2341 | + | 15.0900i | 0.740756 | + | 0.995008i | ||||
\(231\) | −1.01683 | + | 0.802596i | −0.0669026 | + | 0.0528070i | ||||
\(232\) | −0.889146 | − | 15.2660i | −0.0583753 | − | 1.00226i | ||||
\(233\) | −10.7706 | + | 3.92018i | −0.705605 | + | 0.256819i | −0.669802 | − | 0.742540i | \(-0.733621\pi\) |
−0.0358031 | + | 0.999359i | \(0.511399\pi\) | |||||||
\(234\) | −17.2569 | + | 16.2254i | −1.12812 | + | 1.06069i | ||||
\(235\) | −8.03307 | − | 2.92380i | −0.524020 | − | 0.190728i | ||||
\(236\) | 1.87268 | − | 6.25518i | 0.121901 | − | 0.407178i | ||||
\(237\) | −3.88242 | + | 3.87579i | −0.252190 | + | 0.251760i | ||||
\(238\) | 0.0998275 | − | 0.0501352i | 0.00647085 | − | 0.00324978i | ||||
\(239\) | −11.4299 | − | 2.70892i | −0.739336 | − | 0.175226i | −0.156343 | − | 0.987703i | \(-0.549970\pi\) |
−0.582993 | + | 0.812477i | \(0.698119\pi\) | |||||||
\(240\) | 7.37665 | − | 9.31293i | 0.476160 | − | 0.601147i | ||||
\(241\) | −4.38905 | − | 0.513006i | −0.282723 | − | 0.0330456i | −0.0264506 | − | 0.999650i | \(-0.508420\pi\) |
−0.256273 | + | 0.966605i | \(0.582495\pi\) | |||||||
\(242\) | 8.87136 | 0.570273 | ||||||||
\(243\) | 3.21743 | − | 15.2528i | 0.206398 | − | 0.978468i | ||||
\(244\) | 9.25985 | 0.592801 | ||||||||
\(245\) | 9.41757 | + | 1.10076i | 0.601666 | + | 0.0703247i | ||||
\(246\) | 8.63926 | − | 10.9070i | 0.550819 | − | 0.695403i | ||||
\(247\) | −15.6566 | − | 3.71068i | −0.996205 | − | 0.236105i | ||||
\(248\) | 1.31776 | − | 0.661802i | 0.0836776 | − | 0.0420245i | ||||
\(249\) | 0.983404 | − | 0.981726i | 0.0623207 | − | 0.0622143i | ||||
\(250\) | −5.46543 | + | 18.2558i | −0.345664 | + | 1.15460i | ||||
\(251\) | −5.90077 | − | 2.14770i | −0.372453 | − | 0.135562i | 0.149010 | − | 0.988836i | \(-0.452391\pi\) |
−0.521463 | + | 0.853274i | \(0.674614\pi\) | |||||||
\(252\) | −0.823757 | − | 0.248151i | −0.0518918 | − | 0.0156320i | ||||
\(253\) | −18.1465 | + | 6.60477i | −1.14086 | + | 0.415239i | ||||
\(254\) | 1.03951 | + | 17.8476i | 0.0652245 | + | 1.11986i | ||||
\(255\) | −0.393186 | + | 0.310345i | −0.0246222 | + | 0.0194346i | ||||
\(256\) | 10.8542 | + | 14.5798i | 0.678390 | + | 0.911236i | ||||
\(257\) | −0.936302 | + | 2.17059i | −0.0584049 | + | 0.135398i | −0.944919 | − | 0.327303i | \(-0.893860\pi\) |
0.886515 | + | 0.462701i | \(0.153120\pi\) | |||||||
\(258\) | 4.47364 | − | 21.5728i | 0.278517 | − | 1.34307i | ||||
\(259\) | −3.01392 | − | 1.51365i | −0.187276 | − | 0.0940534i | ||||
\(260\) | −4.49040 | − | 3.76790i | −0.278483 | − | 0.233675i | ||||
\(261\) | 20.0314 | − | 14.8597i | 1.23991 | − | 0.919792i | ||||
\(262\) | 7.84639 | − | 6.58390i | 0.484752 | − | 0.406755i | ||||
\(263\) | −13.6191 | + | 3.22778i | −0.839787 | + | 0.199033i | −0.627932 | − | 0.778268i | \(-0.716098\pi\) |
−0.211855 | + | 0.977301i | \(0.567950\pi\) | |||||||
\(264\) | 4.40010 | + | 6.29543i | 0.270807 | + | 0.387457i | ||||
\(265\) | 0.681979 | − | 11.7091i | 0.0418937 | − | 0.719286i | ||||
\(266\) | −0.530244 | − | 1.77114i | −0.0325113 | − | 0.108595i | ||||
\(267\) | −19.2475 | + | 11.8494i | −1.17793 | + | 0.725170i | ||||
\(268\) | −0.692763 | + | 0.930542i | −0.0423172 | + | 0.0568419i | ||||
\(269\) | 12.8630 | + | 22.2793i | 0.784268 | + | 1.35839i | 0.929435 | + | 0.368985i | \(0.120295\pi\) |
−0.145167 | + | 0.989407i | \(0.546372\pi\) | |||||||
\(270\) | 12.1548 | + | 1.09479i | 0.739715 | + | 0.0666270i | ||||
\(271\) | −6.52248 | + | 11.2973i | −0.396212 | + | 0.686260i | −0.993255 | − | 0.115950i | \(-0.963009\pi\) |
0.597043 | + | 0.802209i | \(0.296342\pi\) | |||||||
\(272\) | −0.416538 | − | 0.965643i | −0.0252563 | − | 0.0585507i | ||||
\(273\) | 0.782348 | − | 2.35426i | 0.0473499 | − | 0.142486i | ||||
\(274\) | 1.36329 | − | 1.44501i | 0.0823595 | − | 0.0872959i | ||||
\(275\) | −6.27191 | − | 4.12510i | −0.378210 | − | 0.248753i | ||||
\(276\) | −10.4993 | − | 7.36509i | −0.631986 | − | 0.443326i | ||||
\(277\) | −3.58097 | − | 3.79560i | −0.215159 | − | 0.228056i | 0.610800 | − | 0.791785i | \(-0.290848\pi\) |
−0.825960 | + | 0.563729i | \(0.809366\pi\) | |||||||
\(278\) | −4.84283 | − | 27.4651i | −0.290454 | − | 1.64725i | ||||
\(279\) | 2.08082 | + | 1.20610i | 0.124575 | + | 0.0722076i | ||||
\(280\) | −0.136084 | + | 0.771772i | −0.00813259 | + | 0.0461222i | ||||
\(281\) | 4.74552 | − | 3.12118i | 0.283094 | − | 0.186194i | −0.400019 | − | 0.916507i | \(-0.630996\pi\) |
0.683112 | + | 0.730313i | \(0.260626\pi\) | |||||||
\(282\) | 18.4281 | + | 0.551957i | 1.09738 | + | 0.0328686i | ||||
\(283\) | 11.2778 | − | 1.31819i | 0.670396 | − | 0.0783580i | 0.225916 | − | 0.974147i | \(-0.427463\pi\) |
0.444480 | + | 0.895789i | \(0.353388\pi\) | |||||||
\(284\) | −1.64157 | + | 0.191872i | −0.0974095 | + | 0.0113855i | ||||
\(285\) | 3.92824 | + | 7.30030i | 0.232689 | + | 0.432432i | ||||
\(286\) | 15.9038 | − | 10.4601i | 0.940412 | − | 0.618518i | ||||
\(287\) | −0.253055 | + | 1.43515i | −0.0149374 | + | 0.0847140i | ||||
\(288\) | −5.01210 | + | 13.6978i | −0.295341 | + | 0.807149i | ||||
\(289\) | −2.94432 | − | 16.6981i | −0.173195 | − | 0.982239i | ||||
\(290\) | 13.3996 | + | 14.2028i | 0.786854 | + | 0.834016i | ||||
\(291\) | 10.4752 | − | 4.87377i | 0.614066 | − | 0.285706i | ||||
\(292\) | −10.4246 | − | 6.85634i | −0.610051 | − | 0.401237i | ||||
\(293\) | −11.8588 | + | 12.5696i | −0.692799 | + | 0.734324i | −0.974304 | − | 0.225236i | \(-0.927685\pi\) |
0.281506 | + | 0.959560i | \(0.409166\pi\) | |||||||
\(294\) | −20.0298 | + | 4.11798i | −1.16816 | + | 0.240166i | ||||
\(295\) | −3.84233 | − | 8.90753i | −0.223709 | − | 0.518616i | ||||
\(296\) | −9.99847 | + | 17.3179i | −0.581149 | + | 1.00658i | ||||
\(297\) | −4.65497 | + | 11.6303i | −0.270109 | + | 0.674860i | ||||
\(298\) | −7.63434 | − | 13.2231i | −0.442245 | − | 0.765991i | ||||
\(299\) | 22.0844 | − | 29.6645i | 1.27717 | − | 1.71554i | ||||
\(300\) | −0.140746 | − | 4.98354i | −0.00812598 | − | 0.287725i | ||||
\(301\) | 0.661801 | + | 2.21057i | 0.0381456 | + | 0.127415i | ||||
\(302\) | −1.55061 | + | 26.6229i | −0.0892275 | + | 1.53198i | ||||
\(303\) | 6.83477 | − | 14.6246i | 0.392648 | − | 0.840161i | ||||
\(304\) | −16.9358 | + | 4.01385i | −0.971333 | + | 0.230210i | ||||
\(305\) | 10.5388 | − | 8.84310i | 0.603450 | − | 0.506354i | ||||
\(306\) | 0.595168 | − | 0.901550i | 0.0340235 | − | 0.0515382i | ||||
\(307\) | −6.44460 | − | 5.40766i | −0.367812 | − | 0.308631i | 0.440083 | − | 0.897957i | \(-0.354949\pi\) |
−0.807895 | + | 0.589326i | \(0.799393\pi\) | |||||||
\(308\) | 0.617838 | + | 0.310290i | 0.0352046 | + | 0.0176804i | ||||
\(309\) | 1.69762 | + | 1.51335i | 0.0965741 | + | 0.0860916i | ||||
\(310\) | −0.745784 | + | 1.72892i | −0.0423577 | + | 0.0981961i | ||||
\(311\) | 3.91461 | + | 5.25824i | 0.221977 | + | 0.298167i | 0.899136 | − | 0.437670i | \(-0.144196\pi\) |
−0.677158 | + | 0.735837i | \(0.736789\pi\) | |||||||
\(312\) | −13.6654 | − | 5.44243i | −0.773650 | − | 0.308117i | ||||
\(313\) | −0.317011 | − | 5.44287i | −0.0179185 | − | 0.307649i | −0.995345 | − | 0.0963741i | \(-0.969275\pi\) |
0.977427 | − | 0.211275i | \(-0.0677616\pi\) | |||||||
\(314\) | 19.6675 | − | 7.15839i | 1.10990 | − | 0.403971i | ||||
\(315\) | −1.17451 | + | 0.504258i | −0.0661764 | + | 0.0284117i | ||||
\(316\) | 2.75130 | + | 1.00139i | 0.154773 | + | 0.0563327i | ||||
\(317\) | 1.03115 | − | 3.44428i | 0.0579151 | − | 0.193450i | −0.924136 | − | 0.382063i | \(-0.875214\pi\) |
0.982052 | + | 0.188613i | \(0.0603991\pi\) | |||||||
\(318\) | 6.52605 | + | 24.4390i | 0.365963 | + | 1.37047i | ||||
\(319\) | −17.9115 | + | 8.99549i | −1.00285 | + | 0.503651i | ||||
\(320\) | 2.23729 | + | 0.530248i | 0.125068 | + | 0.0296417i | ||||
\(321\) | −1.32579 | − | 0.195356i | −0.0739983 | − | 0.0109037i | ||||
\(322\) | 4.22063 | + | 0.493321i | 0.235206 | + | 0.0274917i | ||||
\(323\) | 0.733832 | 0.0408315 | ||||||||
\(324\) | −8.10197 | + | 1.89099i | −0.450109 | + | 0.105055i | ||||
\(325\) | 14.3764 | 0.797458 | ||||||||
\(326\) | −42.6018 | − | 4.97944i | −2.35950 | − | 0.275786i | ||||
\(327\) | 1.31583 | + | 3.32042i | 0.0727658 | + | 0.183619i | ||||
\(328\) | 8.40754 | + | 1.99262i | 0.464229 | + | 0.110024i | ||||
\(329\) | −1.72555 | + | 0.866606i | −0.0951329 | + | 0.0477775i | ||||
\(330\) | −9.47108 | − | 2.54644i | −0.521366 | − | 0.140177i | ||||
\(331\) | 7.68837 | − | 25.6809i | 0.422591 | − | 1.41155i | −0.436488 | − | 0.899710i | \(-0.643778\pi\) |
0.859079 | − | 0.511842i | \(-0.171037\pi\) | |||||||
\(332\) | −0.696896 | − | 0.253649i | −0.0382471 | − | 0.0139208i | ||||
\(333\) | −32.5632 | + | 1.84078i | −1.78445 | + | 0.100874i | ||||
\(334\) | 12.9416 | − | 4.71034i | 0.708131 | − | 0.257739i | ||||
\(335\) | 0.100216 | + | 1.72065i | 0.00547541 | + | 0.0940092i | ||||
\(336\) | −0.386662 | − | 2.65553i | −0.0210941 | − | 0.144871i | ||||
\(337\) | 12.9090 | + | 17.3398i | 0.703198 | + | 0.944559i | 0.999946 | − | 0.0103968i | \(-0.00330947\pi\) |
−0.296748 | + | 0.954956i | \(0.595902\pi\) | |||||||
\(338\) | −5.63355 | + | 13.0600i | −0.306425 | + | 0.710372i | ||||
\(339\) | −9.66651 | + | 3.19397i | −0.525013 | + | 0.173473i | ||||
\(340\) | 0.238904 | + | 0.119982i | 0.0129564 | + | 0.00650693i | ||||
\(341\) | −1.48061 | − | 1.24238i | −0.0801796 | − | 0.0672787i | ||||
\(342\) | −12.9836 | − | 12.2914i | −0.702073 | − | 0.664643i | ||||
\(343\) | 3.30415 | − | 2.77251i | 0.178407 | − | 0.149702i | ||||
\(344\) | 13.3127 | − | 3.15518i | 0.717775 | − | 0.170116i | ||||
\(345\) | −18.9831 | + | 1.64447i | −1.02202 | + | 0.0885353i | ||||
\(346\) | −1.76859 | + | 30.3656i | −0.0950802 | + | 1.63246i | ||||
\(347\) | −4.83041 | − | 16.1347i | −0.259310 | − | 0.866156i | −0.984165 | − | 0.177254i | \(-0.943278\pi\) |
0.724855 | − | 0.688901i | \(-0.241907\pi\) | |||||||
\(348\) | −11.7113 | − | 6.32760i | −0.627793 | − | 0.339195i | ||||
\(349\) | −1.17716 | + | 1.58120i | −0.0630118 | + | 0.0846396i | −0.832512 | − | 0.554007i | \(-0.813098\pi\) |
0.769500 | + | 0.638647i | \(0.220505\pi\) | |||||||
\(350\) | 0.825937 | + | 1.43056i | 0.0441482 | + | 0.0764669i | ||||
\(351\) | −4.79117 | − | 23.5077i | −0.255734 | − | 1.25475i | ||||
\(352\) | 5.86083 | − | 10.1513i | 0.312384 | − | 0.541064i | ||||
\(353\) | 2.30243 | + | 5.33762i | 0.122546 | + | 0.284093i | 0.968435 | − | 0.249265i | \(-0.0801890\pi\) |
−0.845889 | + | 0.533358i | \(0.820930\pi\) | |||||||
\(354\) | 13.8952 | + | 15.6408i | 0.738520 | + | 0.831297i | ||||
\(355\) | −1.68507 | + | 1.78607i | −0.0894341 | + | 0.0947946i | ||||
\(356\) | 10.0787 | + | 6.62885i | 0.534168 | + | 0.351328i | ||||
\(357\) | −0.00995743 | + | 0.112705i | −0.000527003 | + | 0.00596499i | ||||
\(358\) | −20.7939 | − | 22.0402i | −1.09899 | − | 1.16486i | ||||
\(359\) | 3.38611 | + | 19.2036i | 0.178712 | + | 1.01353i | 0.933771 | + | 0.357871i | \(0.116497\pi\) |
−0.755059 | + | 0.655657i | \(0.772392\pi\) | |||||||
\(360\) | 2.57984 | + | 7.12591i | 0.135970 | + | 0.375569i | ||||
\(361\) | −1.19036 | + | 6.75087i | −0.0626506 | + | 0.355309i | ||||
\(362\) | 38.2590 | − | 25.1634i | 2.01085 | − | 1.32256i | ||||
\(363\) | −4.72359 | + | 7.64349i | −0.247924 | + | 0.401179i | ||||
\(364\) | −1.31510 | + | 0.153713i | −0.0689300 | + | 0.00805676i | ||||
\(365\) | −18.4121 | + | 2.15207i | −0.963736 | + | 0.112645i | ||||
\(366\) | −15.5976 | + | 25.2393i | −0.815300 | + | 1.31928i | ||||
\(367\) | 15.7834 | − | 10.3809i | 0.823885 | − | 0.541878i | −0.0661288 | − | 0.997811i | \(-0.521065\pi\) |
0.890014 | + | 0.455933i | \(0.150694\pi\) | |||||||
\(368\) | 6.94663 | − | 39.3963i | 0.362118 | − | 2.05367i | ||||
\(369\) | 4.79734 | + | 13.2510i | 0.249740 | + | 0.689818i | ||||
\(370\) | −4.43392 | − | 25.1460i | −0.230509 | − | 1.30728i | ||||
\(371\) | −1.81807 | − | 1.92704i | −0.0943897 | − | 0.100047i | ||||
\(372\) | 0.112967 | − | 1.27864i | 0.00585709 | − | 0.0662946i | ||||
\(373\) | 18.6275 | + | 12.2515i | 0.964495 | + | 0.634359i | 0.930976 | − | 0.365079i | \(-0.118958\pi\) |
0.0335191 | + | 0.999438i | \(0.489329\pi\) | |||||||
\(374\) | −0.595759 | + | 0.631467i | −0.0308059 | + | 0.0326524i | ||||
\(375\) | −12.8190 | − | 14.4294i | −0.661968 | − | 0.745128i | ||||
\(376\) | 4.53465 | + | 10.5125i | 0.233857 | + | 0.542141i | ||||
\(377\) | 19.1926 | − | 33.2425i | 0.988467 | − | 1.71207i | ||||
\(378\) | 2.06394 | − | 1.82730i | 0.106158 | − | 0.0939861i | ||||
\(379\) | 5.97107 | + | 10.3422i | 0.306713 | + | 0.531243i | 0.977641 | − | 0.210280i | \(-0.0674374\pi\) |
−0.670928 | + | 0.741522i | \(0.734104\pi\) | |||||||
\(380\) | 2.64213 | − | 3.54899i | 0.135538 | − | 0.182060i | ||||
\(381\) | −15.9309 | − | 8.60742i | −0.816163 | − | 0.440971i | ||||
\(382\) | −1.53772 | − | 5.13634i | −0.0786766 | − | 0.262798i | ||||
\(383\) | −1.21579 | + | 20.8743i | −0.0621238 | + | 1.06662i | 0.812856 | + | 0.582465i | \(0.197912\pi\) |
−0.874980 | + | 0.484160i | \(0.839125\pi\) | |||||||
\(384\) | −21.7198 | + | 1.88154i | −1.10838 | + | 0.0960171i | ||||
\(385\) | 0.999498 | − | 0.236885i | 0.0509391 | − | 0.0120728i | ||||
\(386\) | −12.9434 | + | 10.8608i | −0.658802 | + | 0.552800i | ||||
\(387\) | 16.2049 | + | 15.3410i | 0.823744 | + | 0.779826i | ||||
\(388\) | −4.72360 | − | 3.96357i | −0.239804 | − | 0.201220i | ||||
\(389\) | 8.58044 | + | 4.30926i | 0.435046 | + | 0.218488i | 0.652823 | − | 0.757510i | \(-0.273584\pi\) |
−0.217778 | + | 0.975998i | \(0.569881\pi\) | |||||||
\(390\) | 17.8339 | − | 5.89260i | 0.903052 | − | 0.298383i | ||||
\(391\) | −0.668054 | + | 1.54872i | −0.0337849 | + | 0.0783222i | ||||
\(392\) | −7.58299 | − | 10.1857i | −0.382999 | − | 0.514456i | ||||
\(393\) | 1.49479 | + | 10.2660i | 0.0754024 | + | 0.517852i | ||||
\(394\) | 0.202710 | + | 3.48040i | 0.0102124 | + | 0.175340i | ||||
\(395\) | 4.08763 | − | 1.48777i | 0.205671 | − | 0.0748581i | ||||
\(396\) | 6.67530 | − | 0.377351i | 0.335446 | − | 0.0189626i | ||||
\(397\) | 1.93277 | + | 0.703471i | 0.0970030 | + | 0.0353062i | 0.390066 | − | 0.920787i | \(-0.372452\pi\) |
−0.293063 | + | 0.956093i | \(0.594674\pi\) | |||||||
\(398\) | −6.41005 | + | 21.4111i | −0.321307 | + | 1.07324i | ||||
\(399\) | 1.80833 | + | 0.486195i | 0.0905296 | + | 0.0243402i | ||||
\(400\) | 13.8969 | − | 6.97926i | 0.694843 | − | 0.348963i | ||||
\(401\) | 0.658673 | + | 0.156108i | 0.0328925 | + | 0.00779568i | 0.247029 | − | 0.969008i | \(-0.420546\pi\) |
−0.214137 | + | 0.976804i | \(0.568694\pi\) | |||||||
\(402\) | −1.36944 | − | 3.45568i | −0.0683014 | − | 0.172354i | ||||
\(403\) | 3.67646 | + | 0.429717i | 0.183138 | + | 0.0214057i | ||||
\(404\) | −8.61563 | −0.428644 | ||||||||
\(405\) | −7.41511 | + | 9.88950i | −0.368460 | + | 0.491413i | ||||
\(406\) | 4.41052 | 0.218891 | ||||||||
\(407\) | 26.0332 | + | 3.04285i | 1.29042 | + | 0.150828i | ||||
\(408\) | 0.663681 | + | 0.0977940i | 0.0328571 | + | 0.00484152i | ||||
\(409\) | 16.6911 | + | 3.95585i | 0.825319 | + | 0.195604i | 0.621510 | − | 0.783406i | \(-0.286520\pi\) |
0.203810 | + | 0.979011i | \(0.434668\pi\) | |||||||
\(410\) | −9.85937 | + | 4.95156i | −0.486920 | + | 0.244540i | ||||
\(411\) | 0.519114 | + | 1.94400i | 0.0256060 | + | 0.0958904i | ||||
\(412\) | 0.348117 | − | 1.16279i | 0.0171505 | − | 0.0572866i | ||||
\(413\) | −2.05907 | − | 0.749442i | −0.101320 | − | 0.0368776i | ||||
\(414\) | 37.7603 | − | 16.2118i | 1.85582 | − | 0.796764i | ||||
\(415\) | −1.03538 | + | 0.376849i | −0.0508250 | + | 0.0184988i | ||||
\(416\) | 1.30524 | + | 22.4101i | 0.0639947 | + | 1.09875i | ||||
\(417\) | 26.2422 | + | 10.4513i | 1.28509 | + | 0.511804i | ||||
\(418\) | 8.57992 | + | 11.5248i | 0.419658 | + | 0.563698i | ||||
\(419\) | −11.1249 | + | 25.7904i | −0.543486 | + | 1.25994i | 0.396282 | + | 0.918129i | \(0.370300\pi\) |
−0.939768 | + | 0.341813i | \(0.888959\pi\) | |||||||
\(420\) | 0.509219 | + | 0.453947i | 0.0248474 | + | 0.0221503i | ||||
\(421\) | −8.98026 | − | 4.51006i | −0.437671 | − | 0.219807i | 0.216299 | − | 0.976327i | \(-0.430601\pi\) |
−0.653970 | + | 0.756521i | \(0.726898\pi\) | |||||||
\(422\) | 20.7945 | + | 17.4487i | 1.01226 | + | 0.849388i | ||||
\(423\) | −10.2877 | + | 15.5836i | −0.500205 | + | 0.757702i | ||||
\(424\) | −12.0332 | + | 10.0970i | −0.584382 | + | 0.490354i | ||||
\(425\) | −0.637991 | + | 0.151207i | −0.0309471 | + | 0.00733460i | ||||
\(426\) | 2.24214 | − | 4.79759i | 0.108632 | − | 0.232444i | ||||
\(427\) | 0.180685 | − | 3.10224i | 0.00874396 | − | 0.150128i | ||||
\(428\) | 0.205130 | + | 0.685181i | 0.00991532 | + | 0.0331195i | ||||
\(429\) | 0.544287 | + | 19.2721i | 0.0262784 | + | 0.930466i | ||||
\(430\) | −10.4323 | + | 14.0130i | −0.503088 | + | 0.675765i | ||||
\(431\) | −2.67380 | − | 4.63116i | −0.128792 | − | 0.223075i | 0.794417 | − | 0.607373i | \(-0.207777\pi\) |
−0.923209 | + | 0.384298i | \(0.874443\pi\) | |||||||
\(432\) | −16.0436 | − | 20.3976i | −0.771896 | − | 0.981380i | ||||
\(433\) | 3.44686 | − | 5.97014i | 0.165646 | − | 0.286906i | −0.771239 | − | 0.636546i | \(-0.780363\pi\) |
0.936884 | + | 0.349639i | \(0.113696\pi\) | |||||||
\(434\) | 0.168456 | + | 0.390525i | 0.00808615 | + | 0.0187458i | ||||
\(435\) | −19.3717 | + | 3.98268i | −0.928801 | + | 0.190955i | ||||
\(436\) | 1.30813 | − | 1.38653i | 0.0626479 | − | 0.0664029i | ||||
\(437\) | 23.3222 | + | 15.3392i | 1.11565 | + | 0.733775i | ||||
\(438\) | 36.2477 | − | 16.8649i | 1.73198 | − | 0.805835i | ||||
\(439\) | −10.6865 | − | 11.3270i | −0.510039 | − | 0.540610i | 0.420264 | − | 0.907402i | \(-0.361937\pi\) |
−0.930303 | + | 0.366792i | \(0.880456\pi\) | |||||||
\(440\) | −1.05757 | − | 5.99779i | −0.0504178 | − | 0.285934i | ||||
\(441\) | 7.11691 | − | 19.4501i | 0.338901 | − | 0.926196i | ||||
\(442\) | 0.288704 | − | 1.63732i | 0.0137323 | − | 0.0778796i | ||||
\(443\) | 23.3555 | − | 15.3611i | 1.10965 | − | 0.729830i | 0.143977 | − | 0.989581i | \(-0.454011\pi\) |
0.965675 | + | 0.259751i | \(0.0836407\pi\) | |||||||
\(444\) | 8.24831 | + | 15.3288i | 0.391448 | + | 0.727472i | ||||
\(445\) | 17.8012 | − | 2.08066i | 0.843859 | − | 0.0986330i | ||||
\(446\) | −3.21979 | + | 0.376339i | −0.152461 | + | 0.0178202i | ||||
\(447\) | 15.4578 | + | 0.462990i | 0.731129 | + | 0.0218987i | ||||
\(448\) | 0.433914 | − | 0.285390i | 0.0205005 | − | 0.0134834i | ||||
\(449\) | −1.89891 | + | 10.7693i | −0.0896152 | + | 0.508233i | 0.906650 | + | 0.421884i | \(0.138631\pi\) |
−0.996265 | + | 0.0863489i | \(0.972480\pi\) | |||||||
\(450\) | 13.8206 | + | 8.01082i | 0.651508 | + | 0.377634i | ||||
\(451\) | −1.96661 | − | 11.1532i | −0.0926038 | − | 0.525182i | ||||
\(452\) | 3.72866 | + | 3.95215i | 0.175381 | + | 0.185893i | ||||
\(453\) | −22.1124 | − | 15.5115i | −1.03893 | − | 0.728792i | ||||
\(454\) | −36.5155 | − | 24.0166i | −1.71376 | − | 1.12716i | ||||
\(455\) | −1.34994 | + | 1.43086i | −0.0632864 | + | 0.0670796i | ||||
\(456\) | 3.50126 | − | 10.5361i | 0.163961 | − | 0.493396i | ||||
\(457\) | −6.50790 | − | 15.0870i | −0.304427 | − | 0.705740i | 0.695492 | − | 0.718534i | \(-0.255187\pi\) |
−0.999918 | + | 0.0127940i | \(0.995927\pi\) | |||||||
\(458\) | −4.01150 | + | 6.94812i | −0.187445 | + | 0.324664i | ||||
\(459\) | 0.459869 | + | 0.992825i | 0.0214648 | + | 0.0463411i | ||||
\(460\) | 5.08471 | + | 8.80698i | 0.237076 | + | 0.410627i | ||||
\(461\) | −14.9299 | + | 20.0543i | −0.695355 | + | 0.934024i | −0.999829 | − | 0.0184970i | \(-0.994112\pi\) |
0.304474 | + | 0.952521i | \(0.401519\pi\) | |||||||
\(462\) | −1.88646 | + | 1.16136i | −0.0877660 | + | 0.0540314i | ||||
\(463\) | −3.89051 | − | 12.9952i | −0.180807 | − | 0.603938i | −0.999556 | − | 0.0297865i | \(-0.990517\pi\) |
0.818749 | − | 0.574151i | \(-0.194668\pi\) | |||||||
\(464\) | 2.41425 | − | 41.4510i | 0.112079 | − | 1.92431i | ||||
\(465\) | −1.09253 | − | 1.56313i | −0.0506648 | − | 0.0724885i | ||||
\(466\) | −19.0724 | + | 4.52025i | −0.883514 | + | 0.209397i | ||||
\(467\) | −26.2848 | + | 22.0556i | −1.21632 | + | 1.02061i | −0.217308 | + | 0.976103i | \(0.569728\pi\) |
−0.999009 | + | 0.0445082i | \(0.985828\pi\) | |||||||
\(468\) | −10.2836 | + | 7.62860i | −0.475360 | + | 0.352632i | ||||
\(469\) | 0.298233 | + | 0.250247i | 0.0137711 | + | 0.0115554i | ||||
\(470\) | −13.0639 | − | 6.56096i | −0.602595 | − | 0.302634i | ||||
\(471\) | −4.30444 | + | 20.7569i | −0.198338 | + | 0.956426i | ||||
\(472\) | −5.14589 | + | 11.9295i | −0.236859 | + | 0.549100i | ||||
\(473\) | −10.7087 | − | 14.3842i | −0.492385 | − | 0.661388i | ||||
\(474\) | −7.36386 | + | 5.81237i | −0.338233 | + | 0.266971i | ||||
\(475\) | 0.630948 | + | 10.8330i | 0.0289499 | + | 0.497050i | ||||
\(476\) | 0.0567445 | − | 0.0206533i | 0.00260088 | − | 0.000946643i | ||||
\(477\) | −24.5313 | − | 7.38986i | −1.12321 | − | 0.338359i | ||||
\(478\) | −18.8761 | − | 6.87035i | −0.863374 | − | 0.314242i | ||||
\(479\) | 6.21271 | − | 20.7519i | 0.283866 | − | 0.948178i | −0.690523 | − | 0.723310i | \(-0.742620\pi\) |
0.974389 | − | 0.224868i | \(-0.0721951\pi\) | |||||||
\(480\) | 8.18520 | − | 8.17123i | 0.373602 | − | 0.372964i | ||||
\(481\) | −44.8563 | + | 22.5277i | −2.04527 | + | 1.02717i | ||||
\(482\) | −7.35307 | − | 1.74271i | −0.334923 | − | 0.0793783i | ||||
\(483\) | −2.67233 | + | 3.37379i | −0.121595 | + | 0.153513i | ||||
\(484\) | 4.76311 | + | 0.556728i | 0.216505 | + | 0.0253058i | ||||
\(485\) | −9.16119 | −0.415988 | ||||||||
\(486\) | 8.49302 | − | 25.2686i | 0.385251 | − | 1.14621i | ||||
\(487\) | 38.8502 | 1.76047 | 0.880235 | − | 0.474538i | \(-0.157385\pi\) | ||||
0.880235 | + | 0.474538i | \(0.157385\pi\) | |||||||
\(488\) | −18.3002 | − | 2.13899i | −0.828411 | − | 0.0968273i | ||||
\(489\) | 26.9737 | − | 34.0540i | 1.21979 | − | 1.53998i | ||||
\(490\) | 15.7775 | + | 3.73933i | 0.712754 | + | 0.168926i | ||||
\(491\) | 26.1680 | − | 13.1421i | 1.18095 | − | 0.593093i | 0.253604 | − | 0.967308i | \(-0.418384\pi\) |
0.927342 | + | 0.374215i | \(0.122088\pi\) | |||||||
\(492\) | 5.32297 | − | 5.31388i | 0.239978 | − | 0.239568i | ||||
\(493\) | −0.502087 | + | 1.67709i | −0.0226129 | + | 0.0755322i | ||||
\(494\) | −25.8565 | − | 9.41099i | −1.16334 | − | 0.423420i | ||||
\(495\) | 7.23690 | − | 6.80434i | 0.325275 | − | 0.305832i | ||||
\(496\) | 3.76245 | − | 1.36942i | 0.168939 | − | 0.0614887i | ||||
\(497\) | 0.0322497 | + | 0.553706i | 0.00144660 | + | 0.0248371i | ||||
\(498\) | 1.86524 | − | 1.47225i | 0.0835835 | − | 0.0659733i | ||||
\(499\) | −16.4063 | − | 22.0374i | −0.734445 | − | 0.986531i | −0.999750 | − | 0.0223667i | \(-0.992880\pi\) |
0.265304 | − | 0.964165i | \(-0.414528\pi\) | |||||||
\(500\) | −4.08009 | + | 9.45872i | −0.182467 | + | 0.423007i | ||||
\(501\) | −2.83239 | + | 13.6584i | −0.126542 | + | 0.610211i | ||||
\(502\) | −9.59624 | − | 4.81941i | −0.428301 | − | 0.215101i | ||||
\(503\) | −25.2177 | − | 21.1601i | −1.12440 | − | 0.943484i | −0.125583 | − | 0.992083i | \(-0.540080\pi\) |
−0.998818 | + | 0.0485988i | \(0.984524\pi\) | |||||||
\(504\) | 1.57067 | + | 0.680704i | 0.0699630 | + | 0.0303209i | ||||
\(505\) | −9.80560 | + | 8.22788i | −0.436343 | + | 0.366136i | ||||
\(506\) | −32.1335 | + | 7.61579i | −1.42851 | + | 0.338563i | ||||
\(507\) | −8.25281 | − | 11.8077i | −0.366520 | − | 0.524398i | ||||
\(508\) | −0.561920 | + | 9.64779i | −0.0249312 | + | 0.428051i | ||||
\(509\) | −1.47242 | − | 4.91823i | −0.0652639 | − | 0.217997i | 0.919137 | − | 0.393939i | \(-0.128888\pi\) |
−0.984400 | + | 0.175942i | \(0.943703\pi\) | |||||||
\(510\) | −0.729450 | + | 0.449072i | −0.0323006 | + | 0.0198852i | ||||
\(511\) | −2.50043 | + | 3.35866i | −0.110612 | + | 0.148578i | ||||
\(512\) | 2.95483 | + | 5.11791i | 0.130586 | + | 0.226182i | ||||
\(513\) | 17.5033 | − | 4.64197i | 0.772791 | − | 0.204948i | ||||
\(514\) | −2.02126 | + | 3.50093i | −0.0891541 | + | 0.154419i | ||||
\(515\) | −0.714261 | − | 1.65584i | −0.0314741 | − | 0.0729651i | ||||
\(516\) | 3.75575 | − | 11.3019i | 0.165338 | − | 0.497538i | ||||
\(517\) | 10.2979 | − | 10.9151i | 0.452902 | − | 0.480048i | ||||
\(518\) | −4.81872 | − | 3.16932i | −0.211722 | − | 0.139252i | ||||
\(519\) | −25.2210 | − | 17.6921i | −1.10708 | − | 0.776596i | ||||
\(520\) | 8.00400 | + | 8.48374i | 0.350999 | + | 0.372037i | ||||
\(521\) | −1.32353 | − | 7.50611i | −0.0579849 | − | 0.328849i | 0.941992 | − | 0.335635i | \(-0.108951\pi\) |
−0.999977 | + | 0.00678637i | \(0.997840\pi\) | |||||||
\(522\) | 36.9739 | − | 21.2628i | 1.61831 | − | 0.930647i | ||||
\(523\) | −1.93766 | + | 10.9890i | −0.0847279 | + | 0.480516i | 0.912687 | + | 0.408659i | \(0.134004\pi\) |
−0.997415 | + | 0.0718566i | \(0.977108\pi\) | |||||||
\(524\) | 4.62597 | − | 3.04255i | 0.202087 | − | 0.132914i | ||||
\(525\) | −1.67234 | − | 0.0500896i | −0.0729867 | − | 0.00218609i | ||||
\(526\) | −23.7732 | + | 2.77868i | −1.03656 | + | 0.121156i | ||||
\(527\) | −0.167673 | + | 0.0195981i | −0.00730395 | + | 0.000853709i | ||||
\(528\) | 9.88210 | + | 18.3650i | 0.430063 | + | 0.799236i | ||||
\(529\) | −34.3883 | + | 22.6175i | −1.49514 | + | 0.983370i | ||||
\(530\) | 3.48297 | − | 19.7529i | 0.151291 | − | 0.858012i | ||||
\(531\) | −20.8745 | + | 3.64398i | −0.905875 | + | 0.158135i | ||||
\(532\) | −0.173544 | − | 0.984215i | −0.00752407 | − | 0.0426711i | ||||
\(533\) | 14.8838 | + | 15.7759i | 0.644689 | + | 0.683331i | ||||
\(534\) | −35.0449 | + | 16.3053i | −1.51654 | + | 0.705599i | ||||
\(535\) | 0.887805 | + | 0.583919i | 0.0383832 | + | 0.0252450i | ||||
\(536\) | 1.58406 | − | 1.67900i | 0.0684208 | − | 0.0725218i | ||||
\(537\) | 30.0615 | − | 6.18043i | 1.29725 | − | 0.266705i | ||||
\(538\) | 17.4250 | + | 40.3957i | 0.751245 | + | 1.74158i | ||||
\(539\) | −8.32207 | + | 14.4143i | −0.358457 | + | 0.620866i | ||||
\(540\) | 6.45729 | + | 1.35058i | 0.277877 | + | 0.0581198i | ||||
\(541\) | 12.8996 | + | 22.3428i | 0.554598 | + | 0.960592i | 0.997935 | + | 0.0642366i | \(0.0204612\pi\) |
−0.443337 | + | 0.896355i | \(0.646205\pi\) | |||||||
\(542\) | −13.3215 | + | 17.8938i | −0.572206 | + | 0.768605i | ||||
\(543\) | 1.30937 | + | 46.3620i | 0.0561902 | + | 1.98958i | ||||
\(544\) | −0.293627 | − | 0.980782i | −0.0125891 | − | 0.0420507i | ||||
\(545\) | 0.164671 | − | 2.82729i | 0.00705373 | − | 0.121108i | ||||
\(546\) | 1.79623 | − | 3.84346i | 0.0768716 | − | 0.164485i | ||||
\(547\) | 35.1748 | − | 8.33659i | 1.50397 | − | 0.356447i | 0.605628 | − | 0.795748i | \(-0.292922\pi\) |
0.898340 | + | 0.439301i | \(0.144774\pi\) | |||||||
\(548\) | 0.822645 | − | 0.690281i | 0.0351417 | − | 0.0294874i | ||||
\(549\) | −13.4410 | − | 26.8775i | −0.573646 | − | 1.14711i | ||||
\(550\) | −9.83406 | − | 8.25176i | −0.419326 | − | 0.351856i | ||||
\(551\) | 25.8913 | + | 13.0031i | 1.10301 | + | 0.553952i | ||||
\(552\) | 19.0485 | + | 16.9809i | 0.810758 | + | 0.722755i | ||||
\(553\) | 0.389173 | − | 0.902203i | 0.0165493 | − | 0.0383656i | ||||
\(554\) | −5.32884 | − | 7.15787i | −0.226401 | − | 0.304109i | ||||
\(555\) | 24.0264 | + | 9.56886i | 1.01987 | + | 0.406176i | ||||
\(556\) | −0.876571 | − | 15.0501i | −0.0371749 | − | 0.638268i | ||||
\(557\) | 31.3174 | − | 11.3986i | 1.32696 | − | 0.482974i | 0.421278 | − | 0.906931i | \(-0.361582\pi\) |
0.905682 | + | 0.423957i | \(0.139359\pi\) | |||||||
\(558\) | 3.29488 | + | 2.46171i | 0.139483 | + | 0.104212i | ||||
\(559\) | 32.2717 | + | 11.7459i | 1.36495 | + | 0.496800i | ||||
\(560\) | −0.610282 | + | 2.03848i | −0.0257891 | + | 0.0861417i | ||||
\(561\) | −0.226853 | − | 0.849528i | −0.00957773 | − | 0.0358671i | ||||
\(562\) | 8.68004 | − | 4.35928i | 0.366145 | − | 0.183885i | ||||
\(563\) | 33.7166 | + | 7.99099i | 1.42099 | + | 0.336780i | 0.868064 | − | 0.496453i | \(-0.165364\pi\) |
0.552923 | + | 0.833233i | \(0.313512\pi\) | |||||||
\(564\) | 9.85959 | + | 1.45282i | 0.415164 | + | 0.0611748i | ||||
\(565\) | 8.01793 | + | 0.937162i | 0.337317 | + | 0.0394267i | ||||
\(566\) | 19.4174 | 0.816173 | ||||||||
\(567\) | 0.475430 | + | 2.75123i | 0.0199662 | + | 0.115541i | ||||
\(568\) | 3.28856 | 0.137985 | ||||||||
\(569\) | −32.6401 | − | 3.81508i | −1.36834 | − | 0.159936i | −0.600013 | − | 0.799990i | \(-0.704838\pi\) |
−0.768330 | + | 0.640054i | \(0.778912\pi\) | |||||||
\(570\) | 5.22290 | + | 13.1796i | 0.218763 | + | 0.552034i | ||||
\(571\) | −14.8522 | − | 3.52004i | −0.621545 | − | 0.147309i | −0.0922351 | − | 0.995737i | \(-0.529401\pi\) |
−0.529310 | + | 0.848428i | \(0.677549\pi\) | |||||||
\(572\) | 9.19532 | − | 4.61806i | 0.384476 | − | 0.193091i | ||||
\(573\) | 5.24419 | + | 1.40998i | 0.219079 | + | 0.0589027i | ||||
\(574\) | −0.714740 | + | 2.38740i | −0.0298327 | + | 0.0996481i | ||||
\(575\) | −23.4369 | − | 8.53034i | −0.977386 | − | 0.355740i | ||||
\(576\) | 2.26171 | − | 4.48432i | 0.0942380 | − | 0.186847i | ||||
\(577\) | 9.00255 | − | 3.27666i | 0.374781 | − | 0.136409i | −0.147760 | − | 0.989023i | \(-0.547206\pi\) |
0.522541 | + | 0.852614i | \(0.324984\pi\) | |||||||
\(578\) | −1.68595 | − | 28.9467i | −0.0701264 | − | 1.20402i | ||||
\(579\) | −2.46581 | − | 16.9348i | −0.102476 | − | 0.703786i | ||||
\(580\) | 6.30308 | + | 8.46650i | 0.261721 | + | 0.351552i | ||||
\(581\) | −0.0985762 | + | 0.228525i | −0.00408963 | + | 0.00948083i | ||||
\(582\) | 18.7600 | − | 6.19861i | 0.777627 | − | 0.256940i | ||||
\(583\) | 18.3991 | + | 9.24035i | 0.762011 | + | 0.382696i | ||||
\(584\) | 19.0182 | + | 15.9582i | 0.786980 | + | 0.660355i | ||||
\(585\) | −4.41869 | + | 18.5030i | −0.182691 | + | 0.765006i | ||||
\(586\) | −22.6380 | + | 18.9955i | −0.935165 | + | 0.784697i | ||||
\(587\) | −27.7523 | + | 6.57742i | −1.14546 | + | 0.271479i | −0.759166 | − | 0.650897i | \(-0.774393\pi\) |
−0.386294 | + | 0.922376i | \(0.626245\pi\) | |||||||
\(588\) | −11.0126 | + | 0.953999i | −0.454151 | + | 0.0393423i | ||||
\(589\) | −0.162450 | + | 2.78917i | −0.00669365 | + | 0.114926i | ||||
\(590\) | −4.75790 | − | 15.8925i | −0.195880 | − | 0.654284i | ||||
\(591\) | −3.10661 | − | 1.67850i | −0.127789 | − | 0.0690442i | ||||
\(592\) | −32.4237 | + | 43.5525i | −1.33260 | + | 1.79000i | ||||
\(593\) | −21.1230 | − | 36.5862i | −0.867419 | − | 1.50241i | −0.864625 | − | 0.502418i | \(-0.832444\pi\) |
−0.00279478 | − | 0.999996i | \(-0.500890\pi\) | |||||||
\(594\) | −10.2156 | + | 18.8303i | −0.419150 | + | 0.772617i | ||||
\(595\) | 0.0448581 | − | 0.0776966i | 0.00183900 | − | 0.00318525i | ||||
\(596\) | −3.26912 | − | 7.57867i | −0.133908 | − | 0.310434i | ||||
\(597\) | −15.0345 | − | 16.9233i | −0.615323 | − | 0.692623i | ||||
\(598\) | 43.4003 | − | 46.0016i | 1.77477 | − | 1.88115i | ||||
\(599\) | 14.9593 | + | 9.83888i | 0.611220 | + | 0.402006i | 0.817037 | − | 0.576585i | \(-0.195615\pi\) |
−0.205818 | + | 0.978590i | \(0.565985\pi\) | |||||||
\(600\) | −0.873020 | + | 9.88145i | −0.0356409 | + | 0.403409i | ||||
\(601\) | 6.88063 | + | 7.29305i | 0.280667 | + | 0.297490i | 0.852336 | − | 0.522995i | \(-0.175185\pi\) |
−0.571669 | + | 0.820484i | \(0.693704\pi\) | |||||||
\(602\) | 0.685225 | + | 3.88610i | 0.0279277 | + | 0.158386i | ||||
\(603\) | 3.70655 | + | 0.660095i | 0.150942 | + | 0.0268812i | ||||
\(604\) | −2.50327 | + | 14.1968i | −0.101857 | + | 0.577658i | ||||
\(605\) | 5.95265 | − | 3.91512i | 0.242010 | − | 0.159172i | ||||
\(606\) | 14.5125 | − | 23.4834i | 0.589529 | − | 0.953948i | ||||
\(607\) | 11.8705 | − | 1.38747i | 0.481811 | − | 0.0563156i | 0.128279 | − | 0.991738i | \(-0.459055\pi\) |
0.353532 | + | 0.935423i | \(0.384981\pi\) | |||||||
\(608\) | −16.8293 | + | 1.96706i | −0.682518 | + | 0.0797749i | ||||
\(609\) | −2.34840 | + | 3.80007i | −0.0951619 | + | 0.153987i | ||||
\(610\) | 19.6561 | − | 12.9280i | 0.795851 | − | 0.523439i | ||||
\(611\) | −4.99036 | + | 28.3018i | −0.201888 | + | 1.14497i | ||||
\(612\) | 0.376128 | − | 0.446700i | 0.0152041 | − | 0.0180568i | ||||
\(613\) | −6.82305 | − | 38.6954i | −0.275580 | − | 1.56289i | −0.737112 | − | 0.675771i | \(-0.763811\pi\) |
0.461532 | − | 0.887124i | \(-0.347300\pi\) | |||||||
\(614\) | −9.87275 | − | 10.4645i | −0.398432 | − | 0.422313i | ||||
\(615\) | 0.983437 | − | 11.1312i | 0.0396560 | − | 0.448854i | ||||
\(616\) | −1.14936 | − | 0.755943i | −0.0463088 | − | 0.0304578i | ||||
\(617\) | 28.0503 | − | 29.7316i | 1.12926 | − | 1.19695i | 0.151230 | − | 0.988499i | \(-0.451677\pi\) |
0.978033 | − | 0.208450i | \(-0.0668419\pi\) | |||||||
\(618\) | 2.58301 | + | 2.90750i | 0.103904 | + | 0.116957i | ||||
\(619\) | 10.1196 | + | 23.4598i | 0.406740 | + | 0.942928i | 0.991305 | + | 0.131582i | \(0.0420057\pi\) |
−0.584566 | + | 0.811346i | \(0.698735\pi\) | |||||||
\(620\) | −0.508917 | + | 0.881470i | −0.0204386 | + | 0.0354007i | ||||
\(621\) | −6.13771 | + | 41.1659i | −0.246298 | + | 1.65193i | ||||
\(622\) | 5.60517 | + | 9.70843i | 0.224747 | + | 0.389273i | ||||
\(623\) | 2.41746 | − | 3.24722i | 0.0968537 | − | 0.130097i | ||||
\(624\) | −35.1384 | − | 18.9852i | −1.40666 | − | 0.760016i | ||||
\(625\) | −0.0757739 | − | 0.253102i | −0.00303095 | − | 0.0101241i | ||||
\(626\) | 0.542118 | − | 9.30781i | 0.0216674 | − | 0.372015i | ||||
\(627\) | −14.4981 | + | 1.25594i | −0.578999 | + | 0.0501576i | ||||
\(628\) | 11.0089 | − | 2.60915i | 0.439303 | − | 0.104117i | ||||
\(629\) | 1.75368 | − | 1.47151i | 0.0699239 | − | 0.0586731i | ||||
\(630\) | −2.09506 | + | 0.623321i | −0.0834691 | + | 0.0248337i | ||||
\(631\) | −3.09592 | − | 2.59779i | −0.123247 | − | 0.103416i | 0.579081 | − | 0.815270i | \(-0.303411\pi\) |
−0.702328 | + | 0.711854i | \(0.747856\pi\) | |||||||
\(632\) | −5.20607 | − | 2.61459i | −0.207086 | − | 0.104003i | ||||
\(633\) | −26.1058 | + | 8.62577i | −1.03761 | + | 0.342843i | ||||
\(634\) | 2.43523 | − | 5.64549i | 0.0967152 | − | 0.224211i | ||||
\(635\) | 8.57405 | + | 11.5170i | 0.340251 | + | 0.457036i | ||||
\(636\) | 1.97021 | + | 13.5311i | 0.0781237 | + | 0.536542i | ||||
\(637\) | −1.85337 | − | 31.8212i | −0.0734333 | − | 1.26080i | ||||
\(638\) | −32.2091 | + | 11.7231i | −1.27517 | + | 0.464123i | ||||
\(639\) | 2.93972 | + | 4.48631i | 0.116294 | + | 0.177476i | ||||
\(640\) | 16.2444 | + | 5.91248i | 0.642116 | + | 0.233711i | ||||
\(641\) | −3.39146 | + | 11.3283i | −0.133955 | + | 0.447440i | −0.998478 | − | 0.0551528i | \(-0.982435\pi\) |
0.864523 | + | 0.502593i | \(0.167621\pi\) | |||||||
\(642\) | −2.21311 | − | 0.595027i | −0.0873443 | − | 0.0234838i | ||||
\(643\) | −18.1003 | + | 9.09029i | −0.713804 | + | 0.358486i | −0.768354 | − | 0.640025i | \(-0.778924\pi\) |
0.0545496 | + | 0.998511i | \(0.482628\pi\) | |||||||
\(644\) | 2.23513 | + | 0.529736i | 0.0880766 | + | 0.0208745i | ||||
\(645\) | −6.51875 | − | 16.4496i | −0.256675 | − | 0.647702i | ||||
\(646\) | 1.24643 | + | 0.145687i | 0.0490403 | + | 0.00573199i | ||||
\(647\) | 25.4173 | 0.999257 | 0.499629 | − | 0.866240i | \(-0.333470\pi\) | ||||
0.499629 | + | 0.866240i | \(0.333470\pi\) | |||||||
\(648\) | 16.4487 | − | 1.86564i | 0.646166 | − | 0.0732891i | ||||
\(649\) | 17.0290 | 0.668446 | ||||||||
\(650\) | 24.4187 | + | 2.85414i | 0.957780 | + | 0.111948i | ||||
\(651\) | −0.426168 | − | 0.0627963i | −0.0167029 | − | 0.00246118i | ||||
\(652\) | −22.5608 | − | 5.34701i | −0.883549 | − | 0.209405i | ||||
\(653\) | 5.84284 | − | 2.93439i | 0.228648 | − | 0.114831i | −0.330787 | − | 0.943705i | \(-0.607314\pi\) |
0.559435 | + | 0.828874i | \(0.311018\pi\) | |||||||
\(654\) | 1.57578 | + | 5.90105i | 0.0616179 | + | 0.230749i | ||||
\(655\) | 2.35928 | − | 7.88056i | 0.0921848 | − | 0.307919i | ||||
\(656\) | 22.0460 | + | 8.02410i | 0.860753 | + | 0.313289i | ||||
\(657\) | −4.76957 | + | 40.2104i | −0.186078 | + | 1.56876i | ||||
\(658\) | −3.10295 | + | 1.12938i | −0.120966 | + | 0.0440279i | ||||
\(659\) | 1.45025 | + | 24.8998i | 0.0564936 | + | 0.969958i | 0.900838 | + | 0.434156i | \(0.142953\pi\) |
−0.844344 | + | 0.535802i | \(0.820010\pi\) | |||||||
\(660\) | −4.92530 | − | 1.96157i | −0.191717 | − | 0.0763540i | ||||
\(661\) | −26.8875 | − | 36.1162i | −1.04580 | − | 1.40476i | −0.910285 | − | 0.413982i | \(-0.864138\pi\) |
−0.135518 | − | 0.990775i | \(-0.543270\pi\) | |||||||
\(662\) | 18.1573 | − | 42.0934i | 0.705705 | − | 1.63601i | ||||
\(663\) | 1.25698 | + | 1.12054i | 0.0488171 | + | 0.0435183i | ||||
\(664\) | 1.31868 | + | 0.662266i | 0.0511747 | + | 0.0257009i | ||||
\(665\) | −1.13743 | − | 0.954419i | −0.0441077 | − | 0.0370108i | ||||
\(666\) | −55.6750 | − | 3.33814i | −2.15736 | − | 0.129350i | ||||
\(667\) | −51.0131 | + | 42.8051i | −1.97523 | + | 1.65742i | ||||
\(668\) | 7.24404 | − | 1.71687i | 0.280280 | − | 0.0664276i | ||||
\(669\) | 1.39014 | − | 2.97452i | 0.0537458 | − | 0.115002i | ||||
\(670\) | −0.171379 | + | 2.94247i | −0.00662096 | + | 0.113678i | ||||
\(671\) | 6.92624 | + | 23.1352i | 0.267384 | + | 0.893126i | ||||
\(672\) | −0.0737520 | − | 2.61141i | −0.00284504 | − | 0.100737i | ||||
\(673\) | 7.24462 | − | 9.73122i | 0.279260 | − | 0.375111i | −0.640258 | − | 0.768160i | \(-0.721172\pi\) |
0.919517 | + | 0.393049i | \(0.128580\pi\) | |||||||
\(674\) | 18.4838 | + | 32.0150i | 0.711971 | + | 1.23317i | ||||
\(675\) | −14.2609 | + | 7.64229i | −0.548901 | + | 0.294152i | ||||
\(676\) | −3.84429 | + | 6.65851i | −0.147857 | + | 0.256097i | ||||
\(677\) | −2.36922 | − | 5.49247i | −0.0910566 | − | 0.211093i | 0.866602 | − | 0.499001i | \(-0.166300\pi\) |
−0.957658 | + | 0.287908i | \(0.907040\pi\) | |||||||
\(678\) | −17.0529 | + | 3.50597i | −0.654915 | + | 0.134646i | ||||
\(679\) | −1.42005 | + | 1.50516i | −0.0544965 | + | 0.0577629i | ||||
\(680\) | −0.444429 | − | 0.292306i | −0.0170431 | − | 0.0112094i | ||||
\(681\) | 40.1353 | − | 18.6737i | 1.53799 | − | 0.715577i | ||||
\(682\) | −2.26821 | − | 2.40416i | −0.0868543 | − | 0.0920602i | ||||
\(683\) | 4.79324 | + | 27.1838i | 0.183408 | + | 1.04016i | 0.927984 | + | 0.372621i | \(0.121541\pi\) |
−0.744575 | + | 0.667538i | \(0.767348\pi\) | |||||||
\(684\) | −6.19966 | − | 7.41415i | −0.237050 | − | 0.283487i | ||||
\(685\) | 0.277053 | − | 1.57124i | 0.0105856 | − | 0.0600341i | ||||
\(686\) | 6.16262 | − | 4.05322i | 0.235290 | − | 0.154753i | ||||
\(687\) | −3.85050 | − | 7.15583i | −0.146906 | − | 0.273012i | ||||
\(688\) | 36.8975 | − | 4.31270i | 1.40670 | − | 0.164420i | ||||
\(689\) | −39.1634 | + | 4.57754i | −1.49200 | + | 0.174390i | ||||
\(690\) | −32.5698 | − | 0.975527i | −1.23991 | − | 0.0371377i | ||||
\(691\) | 24.5061 | − | 16.1179i | 0.932254 | − | 0.613153i | 0.0100889 | − | 0.999949i | \(-0.496789\pi\) |
0.922165 | + | 0.386796i | \(0.126418\pi\) | |||||||
\(692\) | −2.85518 | + | 16.1926i | −0.108538 | + | 0.615549i | ||||
\(693\) | 0.00383277 | − | 2.24373i | 0.000145595 | − | 0.0852321i | ||||
\(694\) | −5.00138 | − | 28.3642i | −0.189850 | − | 1.07669i | ||||
\(695\) | −15.3704 | − | 16.2917i | −0.583034 | − | 0.617980i | ||||
\(696\) | 21.6834 | + | 15.2105i | 0.821906 | + | 0.576552i | ||||
\(697\) | −0.826436 | − | 0.543556i | −0.0313035 | − | 0.0205886i | ||||
\(698\) | −2.31335 | + | 2.45201i | −0.0875617 | + | 0.0928099i | ||||
\(699\) | 6.26058 | − | 18.8395i | 0.236797 | − | 0.712574i | ||||
\(700\) | 0.353677 | + | 0.819915i | 0.0133677 | + | 0.0309899i | ||||
\(701\) | −1.45226 | + | 2.51539i | −0.0548512 | + | 0.0950051i | −0.892147 | − | 0.451745i | \(-0.850802\pi\) |
0.837296 | + | 0.546750i | \(0.184135\pi\) | |||||||
\(702\) | −3.47098 | − | 40.8796i | −0.131004 | − | 1.54290i | ||||
\(703\) | −18.9438 | − | 32.8116i | −0.714479 | − | 1.23751i | ||||
\(704\) | −2.41021 | + | 3.23748i | −0.0908383 | + | 0.122017i | ||||
\(705\) | 12.6088 | − | 7.76237i | 0.474875 | − | 0.292348i | ||||
\(706\) | 2.85106 | + | 9.52321i | 0.107301 | + | 0.358411i | ||||
\(707\) | −0.168115 | + | 2.88642i | −0.00632260 | + | 0.108555i | ||||
\(708\) | 6.47889 | + | 9.26966i | 0.243492 | + | 0.348375i | ||||
\(709\) | −24.0474 | + | 5.69934i | −0.903119 | + | 0.214043i | −0.655839 | − | 0.754901i | \(-0.727685\pi\) |
−0.247280 | + | 0.968944i | \(0.579537\pi\) | |||||||
\(710\) | −3.21672 | + | 2.69915i | −0.120721 | + | 0.101297i | ||||
\(711\) | −1.08697 | − | 9.43945i | −0.0407646 | − | 0.354007i | ||||
\(712\) | −18.3872 | − | 15.4287i | −0.689089 | − | 0.578215i | ||||
\(713\) | −5.73853 | − | 2.88200i | −0.214910 | − | 0.107932i | ||||
\(714\) | −0.0392883 | + | 0.189456i | −0.00147033 | + | 0.00709022i | ||||
\(715\) | 6.05513 | − | 14.0374i | 0.226449 | − | 0.524968i | ||||
\(716\) | −9.78127 | − | 13.1385i | −0.365543 | − | 0.491010i | ||||
\(717\) | 15.9701 | − | 12.6054i | 0.596414 | − | 0.470756i | ||||
\(718\) | 1.93893 | + | 33.2901i | 0.0723602 | + | 1.24238i | ||||
\(719\) | 23.8425 | − | 8.67796i | 0.889175 | − | 0.323633i | 0.143269 | − | 0.989684i | \(-0.454239\pi\) |
0.745907 | + | 0.666051i | \(0.232017\pi\) | |||||||
\(720\) | 4.71131 | + | 20.0310i | 0.175580 | + | 0.746511i | ||||
\(721\) | −0.382767 | − | 0.139316i | −0.0142550 | − | 0.00518838i | ||||
\(722\) | −3.36211 | + | 11.2302i | −0.125125 | + | 0.417946i | ||||
\(723\) | 5.41668 | − | 5.40743i | 0.201448 | − | 0.201105i | ||||
\(724\) | 22.1207 | − | 11.1095i | 0.822111 | − | 0.412880i | ||||
\(725\) | −25.1892 | − | 5.96994i | −0.935502 | − | 0.221718i | ||||
\(726\) | −9.54061 | + | 12.0449i | −0.354085 | + | 0.447029i | ||||
\(727\) | −17.6415 | − | 2.06200i | −0.654288 | − | 0.0764754i | −0.217529 | − | 0.976054i | \(-0.569800\pi\) |
−0.436759 | + | 0.899578i | \(0.643874\pi\) | |||||||
\(728\) | 2.63453 | 0.0976424 | ||||||||
\(729\) | 17.2490 | + | 20.7719i | 0.638853 | + | 0.769328i | ||||
\(730\) | −31.7008 | −1.17330 | ||||||||
\(731\) | −1.55568 | − | 0.181833i | −0.0575391 | − | 0.00672535i | ||||
\(732\) | −9.95840 | + | 12.5724i | −0.368073 | + | 0.464688i | ||||
\(733\) | 9.01202 | + | 2.13589i | 0.332866 | + | 0.0788908i | 0.393651 | − | 0.919260i | \(-0.371212\pi\) |
−0.0607842 | + | 0.998151i | \(0.519360\pi\) | |||||||
\(734\) | 28.8694 | − | 14.4988i | 1.06559 | − | 0.535159i | ||||
\(735\) | −11.6226 | + | 11.6027i | −0.428704 | + | 0.427973i | ||||
\(736\) | 11.1694 | − | 37.3083i | 0.411708 | − | 1.37520i | ||||
\(737\) | −2.84309 | − | 1.03480i | −0.104726 | − | 0.0381173i | ||||
\(738\) | 5.51771 | + | 23.4596i | 0.203110 | + | 0.863558i | ||||
\(739\) | 5.02496 | − | 1.82894i | 0.184846 | − | 0.0672785i | −0.247939 | − | 0.968776i | \(-0.579753\pi\) |
0.432785 | + | 0.901497i | \(0.357531\pi\) | |||||||
\(740\) | −0.802557 | − | 13.7794i | −0.0295026 | − | 0.506540i | ||||
\(741\) | 21.8758 | − | 17.2668i | 0.803628 | − | 0.634312i | ||||
\(742\) | −2.70547 | − | 3.63408i | −0.0993211 | − | 0.133411i | ||||
\(743\) | −10.3074 | + | 23.8952i | −0.378141 | + | 0.876629i | 0.617776 | + | 0.786354i | \(0.288034\pi\) |
−0.995917 | + | 0.0902752i | \(0.971225\pi\) | |||||||
\(744\) | −0.518619 | + | 2.50088i | −0.0190135 | + | 0.0916869i | ||||
\(745\) | −10.9582 | − | 5.50343i | −0.401478 | − | 0.201630i | ||||
\(746\) | 29.2071 | + | 24.5076i | 1.06935 | + | 0.897288i | ||||
\(747\) | 0.275327 | + | 2.39098i | 0.0100737 | + | 0.0874815i | ||||
\(748\) | −0.359496 | + | 0.301653i | −0.0131445 | + | 0.0110295i | ||||
\(749\) | 0.233553 | − | 0.0553530i | 0.00853382 | − | 0.00202255i | ||||
\(750\) | −18.9087 | − | 27.0536i | −0.690449 | − | 0.987858i | ||||
\(751\) | 0.211970 | − | 3.63939i | 0.00773490 | − | 0.132803i | −0.992230 | − | 0.124418i | \(-0.960294\pi\) |
0.999965 | − | 0.00838551i | \(-0.00266922\pi\) | |||||||
\(752\) | 8.91566 | + | 29.7804i | 0.325121 | + | 1.08598i | ||||
\(753\) | 9.26192 | − | 5.70192i | 0.337523 | − | 0.207790i | ||||
\(754\) | 39.1987 | − | 52.6530i | 1.42753 | − | 1.91751i | ||||
\(755\) | 10.7088 | + | 18.5482i | 0.389733 | + | 0.675038i | ||||
\(756\) | 1.22282 | − | 0.851568i | 0.0444736 | − | 0.0309712i | ||||
\(757\) | −5.44196 | + | 9.42576i | −0.197792 | + | 0.342585i | −0.947812 | − | 0.318830i | \(-0.896710\pi\) |
0.750021 | + | 0.661415i | \(0.230044\pi\) | |||||||
\(758\) | 8.08880 | + | 18.7519i | 0.293798 | + | 0.681101i | ||||
\(759\) | 10.5479 | − | 31.7410i | 0.382866 | − | 1.15213i | ||||
\(760\) | −6.04143 | + | 6.40354i | −0.219146 | + | 0.232281i | ||||
\(761\) | −20.6250 | − | 13.5653i | −0.747655 | − | 0.491740i | 0.117607 | − | 0.993060i | \(-0.462478\pi\) |
−0.865262 | + | 0.501320i | \(0.832848\pi\) | |||||||
\(762\) | −25.3502 | − | 17.7827i | −0.918341 | − | 0.644199i | ||||
\(763\) | −0.438992 | − | 0.465305i | −0.0158926 | − | 0.0168452i | ||||
\(764\) | −0.503281 | − | 2.85425i | −0.0182081 | − | 0.103263i | ||||
\(765\) | 0.00148204 | − | 0.867597i | 5.35834e−5 | − | 0.0313680i | ||||
\(766\) | −6.20921 | + | 35.2142i | −0.224348 | + | 1.27234i | ||||
\(767\) | −27.2470 | + | 17.9206i | −0.983832 | + | 0.647076i | ||||
\(768\) | −31.4685 | − | 0.942540i | −1.13552 | − | 0.0340110i | ||||
\(769\) | −31.0819 | + | 3.63295i | −1.12084 | + | 0.131008i | −0.656269 | − | 0.754527i | \(-0.727866\pi\) |
−0.464573 | + | 0.885535i | \(0.653792\pi\) | |||||||
\(770\) | 1.74470 | − | 0.203927i | 0.0628748 | − | 0.00734901i | ||||
\(771\) | −1.94014 | − | 3.60559i | −0.0698725 | − | 0.129852i | ||||
\(772\) | −7.63100 | + | 5.01899i | −0.274646 | + | 0.180637i | ||||
\(773\) | 2.32846 | − | 13.2054i | 0.0837490 | − | 0.474964i | −0.913871 | − | 0.406006i | \(-0.866921\pi\) |
0.997620 | − | 0.0689585i | \(-0.0219676\pi\) | |||||||
\(774\) | 24.4789 | + | 29.2743i | 0.879877 | + | 1.05224i | ||||
\(775\) | −0.433476 | − | 2.45837i | −0.0155709 | − | 0.0883071i | ||||
\(776\) | 8.41966 | + | 8.92431i | 0.302248 | + | 0.320364i | ||||
\(777\) | 5.29641 | − | 2.46425i | 0.190008 | − | 0.0884045i | ||||
\(778\) | 13.7186 | + | 9.02287i | 0.491836 | + | 0.323486i | ||||
\(779\) | −11.2343 | + | 11.9077i | −0.402511 | + | 0.426637i | ||||
\(780\) | 9.94494 | − | 2.04461i | 0.356086 | − | 0.0732088i | ||||
\(781\) | −1.70726 | − | 3.95787i | −0.0610905 | − | 0.141624i | ||||
\(782\) | −1.44218 | + | 2.49792i | −0.0515721 | + | 0.0893255i | ||||
\(783\) | −1.36709 | + | 43.1779i | −0.0488557 | + | 1.54305i | ||||
\(784\) | −17.2397 | − | 29.8600i | −0.615703 | − | 1.06643i | ||||
\(785\) | 10.0377 | − | 13.4830i | 0.358260 | − | 0.481227i | ||||
\(786\) | 0.500844 | + | 17.7339i | 0.0178645 | + | 0.632546i | ||||
\(787\) | −5.98854 | − | 20.0031i | −0.213468 | − | 0.713034i | −0.995913 | − | 0.0903142i | \(-0.971213\pi\) |
0.782445 | − | 0.622720i | \(-0.213972\pi\) | |||||||
\(788\) | −0.109578 | + | 1.88138i | −0.00390354 | + | 0.0670213i | ||||
\(789\) | 10.2640 | − | 21.9623i | 0.365409 | − | 0.781878i | ||||
\(790\) | 7.23832 | − | 1.71551i | 0.257528 | − | 0.0610352i | ||||
\(791\) | 1.39681 | − | 1.17206i | 0.0496648 | − | 0.0416737i | ||||
\(792\) | −13.2795 | − | 0.796208i | −0.471867 | − | 0.0282920i | ||||
\(793\) | −35.4289 | − | 29.7283i | −1.25812 | − | 1.05568i | ||||
\(794\) | 3.14321 | + | 1.57858i | 0.111548 | + | 0.0560216i | ||||
\(795\) | 15.1644 | + | 13.5184i | 0.537826 | + | 0.479449i | ||||
\(796\) | −4.78528 | + | 11.0935i | −0.169610 | + | 0.393199i | ||||
\(797\) | 31.0967 | + | 41.7701i | 1.10150 | + | 1.47957i | 0.860778 | + | 0.508980i | \(0.169977\pi\) |
0.240724 | + | 0.970594i | \(0.422615\pi\) | |||||||
\(798\) | 2.97497 | + | 1.18482i | 0.105313 | + | 0.0419423i | ||||
\(799\) | −0.0762088 | − | 1.30846i | −0.00269608 | − | 0.0462898i | ||||
\(800\) | 14.2260 | − | 5.17785i | 0.502966 | − | 0.183065i | ||||
\(801\) | 4.61131 | − | 38.8762i | 0.162933 | − | 1.37362i | ||||
\(802\) | 1.08778 | + | 0.395920i | 0.0384109 | + | 0.0139804i | ||||
\(803\) | 9.33278 | − | 31.1737i | 0.329347 | − | 1.10009i | ||||
\(804\) | −0.518400 | − | 1.94133i | −0.0182826 | − | 0.0684653i | ||||
\(805\) | 3.04974 | − | 1.53164i | 0.107489 | − | 0.0539831i | ||||
\(806\) | 6.15927 | + | 1.45977i | 0.216951 | + | 0.0514183i | ||||
\(807\) | −44.0826 | − | 6.49561i | −1.55178 | − | 0.228656i | ||||
\(808\) | 17.0270 | + | 1.99017i | 0.599009 | + | 0.0700141i | ||||
\(809\) | −41.7858 | −1.46911 | −0.734554 | − | 0.678550i | \(-0.762609\pi\) | ||||
−0.734554 | + | 0.678550i | \(0.762609\pi\) | |||||||
\(810\) | −14.5581 | + | 15.3255i | −0.511521 | + | 0.538483i | ||||
\(811\) | 5.44750 | 0.191287 | 0.0956437 | − | 0.995416i | \(-0.469509\pi\) | ||||
0.0956437 | + | 0.995416i | \(0.469509\pi\) | |||||||
\(812\) | 2.36805 | + | 0.276785i | 0.0831022 | + | 0.00971325i | ||||
\(813\) | −8.32410 | − | 21.0053i | −0.291939 | − | 0.736687i | ||||
\(814\) | 43.6141 | + | 10.3367i | 1.52867 | + | 0.362302i | ||||
\(815\) | −30.7832 | + | 15.4599i | −1.07829 | + | 0.541537i | ||||
\(816\) | 1.75904 | + | 0.472945i | 0.0615788 | + | 0.0165564i | ||||
\(817\) | −7.43451 | + | 24.8330i | −0.260101 | + | 0.868797i | ||||
\(818\) | 27.5649 | + | 10.0328i | 0.963783 | + | 0.350788i | ||||
\(819\) | 2.35508 | + | 3.59408i | 0.0822931 | + | 0.125587i | ||||
\(820\) | −5.60432 | + | 2.03981i | −0.195711 | + | 0.0712331i | ||||
\(821\) | −1.78967 | − | 30.7275i | −0.0624600 | − | 1.07240i | −0.873317 | − | 0.487152i | \(-0.838036\pi\) |
0.810857 | − | 0.585244i | \(-0.199001\pi\) | |||||||
\(822\) | 0.495788 | + | 3.40500i | 0.0172926 | + | 0.118763i | ||||
\(823\) | 11.1564 | + | 14.9856i | 0.388886 | + | 0.522365i | 0.952853 | − | 0.303433i | \(-0.0981327\pi\) |
−0.563967 | + | 0.825798i | \(0.690725\pi\) | |||||||
\(824\) | −0.956581 | + | 2.21760i | −0.0333241 | + | 0.0772539i | ||||
\(825\) | 12.3458 | − | 4.07926i | 0.429827 | − | 0.142022i | ||||
\(826\) | −3.34861 | − | 1.68174i | −0.116513 | − | 0.0585151i | ||||
\(827\) | −1.28456 | − | 1.07787i | −0.0446686 | − | 0.0374814i | 0.620180 | − | 0.784459i | \(-0.287060\pi\) |
−0.664849 | + | 0.746978i | \(0.731504\pi\) | |||||||
\(828\) | 21.2912 | − | 6.33456i | 0.739921 | − | 0.220141i | ||||
\(829\) | 23.5451 | − | 19.7567i | 0.817755 | − | 0.686178i | −0.134690 | − | 0.990888i | \(-0.543004\pi\) |
0.952445 | + | 0.304710i | \(0.0985595\pi\) | |||||||
\(830\) | −1.83344 | + | 0.434534i | −0.0636398 | + | 0.0150829i | ||||
\(831\) | 9.00452 | − | 0.780044i | 0.312363 | − | 0.0270594i | ||||
\(832\) | 0.449435 | − | 7.71650i | 0.0155813 | − | 0.267521i | ||||
\(833\) | 0.416935 | + | 1.39266i | 0.0144459 | + | 0.0482528i | ||||
\(834\) | 42.4983 | + | 22.9618i | 1.47160 | + | 0.795101i | ||||
\(835\) | 6.60497 | − | 8.87201i | 0.228574 | − | 0.307029i | ||||
\(836\) | 3.88339 | + | 6.72622i | 0.134310 | + | 0.232631i | ||||
\(837\) | −3.87536 | + | 1.52810i | −0.133952 | + | 0.0528187i | ||||
\(838\) | −24.0161 | + | 41.5971i | −0.829622 | + | 1.43695i | ||||
\(839\) | −4.82744 | − | 11.1913i | −0.166662 | − | 0.386366i | 0.814333 | − | 0.580397i | \(-0.197103\pi\) |
−0.980995 | + | 0.194032i | \(0.937844\pi\) | |||||||
\(840\) | −0.901508 | − | 1.01476i | −0.0311050 | − | 0.0350126i | ||||
\(841\) | −27.5310 | + | 29.1811i | −0.949343 | + | 1.00625i | ||||
\(842\) | −14.3579 | − | 9.44331i | −0.494804 | − | 0.325438i | ||||
\(843\) | −0.865803 | + | 9.79976i | −0.0298198 | + | 0.337522i | ||||
\(844\) | 10.0698 | + | 10.6733i | 0.346615 | + | 0.367391i | ||||
\(845\) | 1.98358 | + | 11.2494i | 0.0682373 | + | 0.386993i | ||||
\(846\) | −20.5678 | + | 24.4268i | −0.707134 | + | 0.839812i | ||||
\(847\) | 0.279457 | − | 1.58488i | 0.00960225 | − | 0.0544571i | ||||
\(848\) | −35.6348 | + | 23.4374i | −1.22370 | + | 0.804843i | ||||
\(849\) | −10.3389 | + | 16.7298i | −0.354828 | + | 0.574166i | ||||
\(850\) | −1.11367 | + | 0.130169i | −0.0381984 | + | 0.00446475i | ||||
\(851\) | 86.4934 | − | 10.1096i | 2.96495 | − | 0.346553i | ||||
\(852\) | 1.50490 | − | 2.43516i | 0.0515571 | − | 0.0834272i | ||||
\(853\) | 7.58261 | − | 4.98716i | 0.259624 | − | 0.170757i | −0.413024 | − | 0.910720i | \(-0.635527\pi\) |
0.672647 | + | 0.739963i | \(0.265157\pi\) | |||||||
\(854\) | 0.922785 | − | 5.23338i | 0.0315771 | − | 0.179082i | ||||
\(855\) | −14.1364 | − | 2.51754i | −0.483455 | − | 0.0860980i | ||||
\(856\) | −0.247123 | − | 1.40150i | −0.00844649 | − | 0.0479024i | ||||
\(857\) | −17.4250 | − | 18.4695i | −0.595228 | − | 0.630905i | 0.357796 | − | 0.933800i | \(-0.383528\pi\) |
−0.953024 | + | 0.302895i | \(0.902047\pi\) | |||||||
\(858\) | −2.90159 | + | 32.8423i | −0.0990588 | + | 1.12122i | ||||
\(859\) | 0.357616 | + | 0.235208i | 0.0122017 | + | 0.00802519i | 0.555595 | − | 0.831453i | \(-0.312490\pi\) |
−0.543393 | + | 0.839478i | \(0.682861\pi\) | |||||||
\(860\) | −6.48056 | + | 6.86900i | −0.220985 | + | 0.234231i | ||||
\(861\) | −1.67640 | − | 1.88699i | −0.0571314 | − | 0.0643086i | ||||
\(862\) | −3.62210 | − | 8.39698i | −0.123369 | − | 0.286002i | ||||
\(863\) | 20.6116 | − | 35.7004i | 0.701628 | − | 1.21526i | −0.266267 | − | 0.963899i | \(-0.585790\pi\) |
0.967895 | − | 0.251356i | \(-0.0808764\pi\) | |||||||
\(864\) | −13.2077 | − | 21.5362i | −0.449334 | − | 0.732676i | ||||
\(865\) | 12.2143 | + | 21.1557i | 0.415297 | + | 0.719316i | ||||
\(866\) | 7.03984 | − | 9.45614i | 0.239223 | − | 0.321333i | ||||
\(867\) | 25.8379 | + | 13.9602i | 0.877501 | + | 0.474112i | ||||
\(868\) | 0.0659379 | + | 0.220248i | 0.00223808 | + | 0.00747570i | ||||
\(869\) | −0.443990 | + | 7.62301i | −0.0150613 | + | 0.258593i | ||||
\(870\) | −33.6940 | + | 2.91885i | −1.14233 | + | 0.0989583i | ||||
\(871\) | 5.63803 | − | 1.33624i | 0.191037 | − | 0.0452767i | ||||
\(872\) | −2.90553 | + | 2.43803i | −0.0983936 | + | 0.0825620i | ||||
\(873\) | −4.64816 | + | 19.4639i | −0.157316 | + | 0.658754i | ||||
\(874\) | 36.5681 | + | 30.6843i | 1.23693 | + | 1.03791i | ||||
\(875\) | 3.08926 | + | 1.55148i | 0.104436 | + | 0.0524497i | ||||
\(876\) | 20.5200 | − | 6.78016i | 0.693308 | − | 0.229080i | ||||
\(877\) | −14.9215 | + | 34.5918i | −0.503862 | + | 1.16808i | 0.456600 | + | 0.889672i | \(0.349067\pi\) |
−0.960462 | + | 0.278411i | \(0.910192\pi\) | |||||||
\(878\) | −15.9026 | − | 21.3609i | −0.536686 | − | 0.720894i | ||||
\(879\) | −4.31269 | − | 29.6189i | −0.145463 | − | 0.999020i | ||||
\(880\) | −0.961523 | − | 16.5087i | −0.0324129 | − | 0.556509i | ||||
\(881\) | 2.94091 | − | 1.07040i | 0.0990817 | − | 0.0360628i | −0.292004 | − | 0.956417i | \(-0.594322\pi\) |
0.391085 | + | 0.920354i | \(0.372100\pi\) | |||||||
\(882\) | 15.9497 | − | 31.6237i | 0.537054 | − | 1.06482i | ||||
\(883\) | 46.2681 | + | 16.8402i | 1.55705 | + | 0.566719i | 0.970057 | − | 0.242876i | \(-0.0780909\pi\) |
0.586989 | + | 0.809595i | \(0.300313\pi\) | |||||||
\(884\) | 0.257759 | − | 0.860976i | 0.00866938 | − | 0.0289577i | ||||
\(885\) | 16.2262 | + | 4.36266i | 0.545438 | + | 0.146649i | ||||
\(886\) | 42.7196 | − | 21.4546i | 1.43519 | − | 0.720781i | ||||
\(887\) | −52.8516 | − | 12.5261i | −1.77458 | − | 0.420584i | −0.792629 | − | 0.609704i | \(-0.791288\pi\) |
−0.981954 | + | 0.189121i | \(0.939436\pi\) | |||||||
\(888\) | −12.7602 | − | 32.1995i | −0.428205 | − | 1.08055i | ||||
\(889\) | 3.22125 | + | 0.376510i | 0.108037 | + | 0.0126277i | ||||
\(890\) | 30.6490 | 1.02736 | ||||||||
\(891\) | −10.7847 | − | 18.8279i | −0.361301 | − | 0.630759i | ||||
\(892\) | −1.75235 | −0.0586730 | ||||||||
\(893\) | −21.5451 | − | 2.51826i | −0.720979 | − | 0.0842703i | ||||
\(894\) | 26.1636 | + | 3.85523i | 0.875042 | + | 0.128938i | ||||
\(895\) | −23.6795 | − | 5.61213i | −0.791517 | − | 0.187593i | ||||
\(896\) | 3.48940 | − | 1.75244i | 0.116573 | − | 0.0585450i | ||||
\(897\) | 16.5259 | + | 61.8871i | 0.551785 | + | 2.06635i | ||||
\(898\) | −5.36337 | + | 17.9149i | −0.178978 | + | 0.597828i | ||||
\(899\) | −6.26317 | − | 2.27961i | −0.208888 | − | 0.0760291i | ||||
\(900\) | 6.91766 | + | 5.16840i | 0.230589 | + | 0.172280i | ||||
\(901\) | 1.68984 | − | 0.615050i | 0.0562966 | − | 0.0204903i | ||||
\(902\) | −1.12610 | − | 19.3344i | −0.0374951 | − | 0.643766i | ||||
\(903\) | −3.71308 | − | 1.47879i | −0.123564 | − | 0.0492109i | ||||
\(904\) | −6.45600 | − | 8.67192i | −0.214723 | − | 0.288424i | ||||
\(905\) | 14.5665 | − | 33.7691i | 0.484208 | − | 1.12252i | ||||
\(906\) | −34.4791 | − | 30.7366i | −1.14549 | − | 1.02116i | ||||
\(907\) | 42.0616 | + | 21.1241i | 1.39663 | + | 0.701415i | 0.978360 | − | 0.206908i | \(-0.0663400\pi\) |
0.418271 | + | 0.908322i | \(0.362636\pi\) | |||||||
\(908\) | −18.0983 | − | 15.1863i | −0.600613 | − | 0.503974i | ||||
\(909\) | 12.5059 | + | 25.0076i | 0.414793 | + | 0.829451i | ||||
\(910\) | −2.57699 | + | 2.16235i | −0.0854263 | + | 0.0716811i | ||||
\(911\) | 50.3668 | − | 11.9372i | 1.66873 | − | 0.395496i | 0.715707 | − | 0.698400i | \(-0.246105\pi\) |
0.953021 | + | 0.302905i | \(0.0979564\pi\) | |||||||
\(912\) | 12.7637 | − | 27.3108i | 0.422647 | − | 0.904352i | ||||
\(913\) | 0.112461 | − | 1.93088i | 0.00372192 | − | 0.0639029i | ||||
\(914\) | −8.05864 | − | 26.9177i | −0.266556 | − | 0.890359i | ||||
\(915\) | 0.672703 | + | 23.8191i | 0.0222389 | + | 0.787434i | ||||
\(916\) | −2.58984 | + | 3.47876i | −0.0855708 | + | 0.114942i | ||||
\(917\) | −0.929052 | − | 1.60917i | −0.0306800 | − | 0.0531393i | ||||
\(918\) | 0.583995 | + | 1.77764i | 0.0192747 | + | 0.0586709i | ||||
\(919\) | −6.58049 | + | 11.3977i | −0.217070 | + | 0.375977i | −0.953911 | − | 0.300090i | \(-0.902983\pi\) |
0.736841 | + | 0.676066i | \(0.236317\pi\) | |||||||
\(920\) | −8.01452 | − | 18.5797i | −0.264231 | − | 0.612556i | ||||
\(921\) | 14.2729 | − | 2.93441i | 0.470308 | − | 0.0966921i | ||||
\(922\) | −29.3402 | + | 31.0988i | −0.966270 | + | 1.02419i | ||||
\(923\) | 6.89678 | + | 4.53608i | 0.227010 | + | 0.149307i | ||||
\(924\) | −1.08574 | + | 0.505159i | −0.0357181 | + | 0.0166185i | ||||
\(925\) | 23.2306 | + | 24.6230i | 0.763816 | + | 0.809598i | ||||
\(926\) | −4.02821 | − | 22.8451i | −0.132375 | − | 0.750736i | ||||
\(927\) | −3.88041 | + | 0.677388i | −0.127449 | + | 0.0222483i | ||||
\(928\) | 7.01909 | − | 39.8072i | 0.230413 | − | 1.30674i | ||||
\(929\) | −14.3922 | + | 9.46587i | −0.472191 | + | 0.310565i | −0.763208 | − | 0.646153i | \(-0.776377\pi\) |
0.291017 | + | 0.956718i | \(0.406006\pi\) | |||||||
\(930\) | −1.54536 | − | 2.87192i | −0.0506744 | − | 0.0941740i | ||||
\(931\) | 23.8967 | − | 2.79312i | 0.783182 | − | 0.0915409i | ||||
\(932\) | −10.5238 | + | 1.23006i | −0.344719 | + | 0.0402919i | ||||
\(933\) | −11.3492 | − | 0.339930i | −0.371556 | − | 0.0111288i | ||||
\(934\) | −49.0242 | + | 32.2437i | −1.60412 | + | 1.05505i | ||||
\(935\) | −0.121072 | + | 0.686633i | −0.00395948 | + | 0.0224553i | ||||
\(936\) | 22.0856 | − | 12.7009i | 0.721891 | − | 0.415142i | ||||
\(937\) | 6.62799 | + | 37.5892i | 0.216527 | + | 1.22799i | 0.878237 | + | 0.478226i | \(0.158720\pi\) |
−0.661710 | + | 0.749760i | \(0.730169\pi\) | |||||||
\(938\) | 0.456876 | + | 0.484261i | 0.0149175 | + | 0.0158117i | ||||
\(939\) | 7.73087 | + | 5.42306i | 0.252287 | + | 0.176975i | ||||
\(940\) | −6.60240 | − | 4.34247i | −0.215347 | − | 0.141636i | ||||
\(941\) | 14.6033 | − | 15.4786i | 0.476053 | − | 0.504586i | −0.444191 | − | 0.895932i | \(-0.646509\pi\) |
0.920244 | + | 0.391346i | \(0.127990\pi\) | |||||||
\(942\) | −11.4321 | + | 34.4016i | −0.372477 | + | 1.12086i | ||||
\(943\) | −14.9034 | − | 34.5499i | −0.485320 | − | 1.12510i | ||||
\(944\) | −17.6383 | + | 30.5504i | −0.574077 | + | 0.994331i | ||||
\(945\) | 0.578473 | − | 2.13697i | 0.0188177 | − | 0.0695157i | ||||
\(946\) | −15.3333 | − | 26.5580i | −0.498528 | − | 0.863476i | ||||
\(947\) | −4.64962 | + | 6.24553i | −0.151092 | + | 0.202952i | −0.871225 | − | 0.490884i | \(-0.836674\pi\) |
0.720132 | + | 0.693837i | \(0.244081\pi\) | |||||||
\(948\) | −4.31848 | + | 2.65859i | −0.140258 | + | 0.0863469i | ||||
\(949\) | 17.8731 | + | 59.7005i | 0.580187 | + | 1.93796i | ||||
\(950\) | −1.07898 | + | 18.5253i | −0.0350067 | + | 0.601042i | ||||
\(951\) | 3.56746 | + | 5.10413i | 0.115683 | + | 0.165513i | ||||
\(952\) | −0.116915 | + | 0.0277093i | −0.00378923 | + | 0.000898064i | ||||
\(953\) | 29.0892 | − | 24.4088i | 0.942292 | − | 0.790677i | −0.0356905 | − | 0.999363i | \(-0.511363\pi\) |
0.977983 | + | 0.208686i | \(0.0669186\pi\) | |||||||
\(954\) | −40.1999 | − | 17.4221i | −1.30152 | − | 0.564060i | ||||
\(955\) | −3.29858 | − | 2.76784i | −0.106740 | − | 0.0895652i | ||||
\(956\) | −9.70360 | − | 4.87333i | −0.313837 | − | 0.157615i | ||||
\(957\) | 7.04928 | − | 33.9931i | 0.227871 | − | 1.09884i | ||||
\(958\) | 14.6723 | − | 34.0143i | 0.474041 | − | 1.09895i | ||||
\(959\) | −0.215207 | − | 0.289073i | −0.00694939 | − | 0.00933464i | ||||
\(960\) | −3.12600 | + | 2.46739i | −0.100891 | + | 0.0796346i | ||||
\(961\) | 1.76512 | + | 30.3059i | 0.0569393 | + | 0.977610i | ||||
\(962\) | −80.6621 | + | 29.3586i | −2.60065 | + | 0.946560i | ||||
\(963\) | 1.69105 | − | 1.58997i | 0.0544932 | − | 0.0512360i | ||||
\(964\) | −3.83856 | − | 1.39712i | −0.123632 | − | 0.0449983i | ||||
\(965\) | −3.89187 | + | 12.9998i | −0.125284 | + | 0.418477i | ||||
\(966\) | −5.20882 | + | 5.19993i | −0.167591 | + | 0.167305i | ||||
\(967\) | −4.84104 | + | 2.43126i | −0.155677 | + | 0.0781841i | −0.524932 | − | 0.851144i | \(-0.675909\pi\) |
0.369255 | + | 0.929328i | \(0.379613\pi\) | |||||||
\(968\) | −9.28471 | − | 2.20052i | −0.298422 | − | 0.0707273i | ||||
\(969\) | −0.789192 | + | 0.996345i | −0.0253525 | + | 0.0320072i | ||||
\(970\) | −15.5606 | − | 1.81877i | −0.499619 | − | 0.0583971i | ||||
\(971\) | −45.8419 | −1.47114 | −0.735568 | − | 0.677451i | \(-0.763085\pi\) | ||||
−0.735568 | + | 0.677451i | \(0.763085\pi\) | |||||||
\(972\) | 6.14572 | − | 13.0339i | 0.197124 | − | 0.418064i | ||||
\(973\) | −5.05922 | −0.162191 | ||||||||
\(974\) | 65.9882 | + | 7.71291i | 2.11440 | + | 0.247138i | ||||
\(975\) | −15.4609 | + | 19.5192i | −0.495146 | + | 0.625116i | ||||
\(976\) | −48.6792 | − | 11.5372i | −1.55818 | − | 0.369297i | ||||
\(977\) | −45.3323 | + | 22.7667i | −1.45031 | + | 0.728372i | −0.987431 | − | 0.158050i | \(-0.949479\pi\) |
−0.462877 | + | 0.886422i | \(0.653183\pi\) | |||||||
\(978\) | 52.5764 | − | 52.4867i | 1.68121 | − | 1.67834i | ||||
\(979\) | −9.02312 | + | 30.1393i | −0.288380 | + | 0.963257i | ||||
\(980\) | 8.23640 | + | 2.99780i | 0.263102 | + | 0.0957613i | ||||
\(981\) | −5.92333 | − | 1.78436i | −0.189117 | − | 0.0569702i | ||||
\(982\) | 47.0562 | − | 17.1271i | 1.50162 | − | 0.546546i | ||||
\(983\) | 2.05422 | + | 35.2695i | 0.0655193 | + | 1.12492i | 0.857536 | + | 0.514424i | \(0.171994\pi\) |
−0.792017 | + | 0.610499i | \(0.790969\pi\) | |||||||
\(984\) | −11.7472 | + | 9.27222i | −0.374488 | + | 0.295588i | ||||
\(985\) | 1.67199 | + | 2.24587i | 0.0532741 | + | 0.0715595i | ||||
\(986\) | −1.18576 | + | 2.74890i | −0.0377623 | + | 0.0875429i | ||||
\(987\) | 0.679113 | − | 3.27482i | 0.0216164 | − | 0.104239i | ||||
\(988\) | −13.2920 | − | 6.67548i | −0.422874 | − | 0.212375i | ||||
\(989\) | −45.6409 | − | 38.2973i | −1.45130 | − | 1.21778i | ||||
\(990\) | 13.6430 | − | 10.1206i | 0.433601 | − | 0.321655i | ||||
\(991\) | −3.21935 | + | 2.70136i | −0.102266 | + | 0.0858114i | −0.692487 | − | 0.721430i | \(-0.743485\pi\) |
0.590221 | + | 0.807242i | \(0.299041\pi\) | |||||||
\(992\) | 3.79278 | − | 0.898906i | 0.120421 | − | 0.0285403i | ||||
\(993\) | 26.5994 | + | 38.0570i | 0.844107 | + | 1.20770i | ||||
\(994\) | −0.0551499 | + | 0.946887i | −0.00174925 | + | 0.0300334i | ||||
\(995\) | 5.14804 | + | 17.1956i | 0.163204 | + | 0.545139i | ||||
\(996\) | 1.09386 | − | 0.673412i | 0.0346602 | − | 0.0213379i | ||||
\(997\) | 4.11126 | − | 5.52238i | 0.130205 | − | 0.174896i | −0.732240 | − | 0.681047i | \(-0.761525\pi\) |
0.862445 | + | 0.506151i | \(0.168932\pi\) | |||||||
\(998\) | −23.4914 | − | 40.6884i | −0.743608 | − | 1.28797i | ||||
\(999\) | 32.5205 | − | 46.1917i | 1.02890 | − | 1.46144i |
(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 | 81.2.g.a.4.7 | ✓ | 144 | |
3.2 | odd | 2 | 243.2.g.a.64.2 | 144 | |||
9.2 | odd | 6 | 729.2.g.a.676.7 | 144 | |||
9.4 | even | 3 | 729.2.g.c.190.2 | 144 | |||
9.5 | odd | 6 | 729.2.g.b.190.7 | 144 | |||
9.7 | even | 3 | 729.2.g.d.676.2 | 144 | |||
81.7 | even | 27 | 729.2.g.d.55.2 | 144 | |||
81.20 | odd | 54 | 243.2.g.a.19.2 | 144 | |||
81.34 | even | 27 | 729.2.g.c.541.2 | 144 | |||
81.40 | even | 27 | 6561.2.a.c.1.18 | 72 | |||
81.41 | odd | 54 | 6561.2.a.d.1.55 | 72 | |||
81.47 | odd | 54 | 729.2.g.b.541.7 | 144 | |||
81.61 | even | 27 | inner | 81.2.g.a.61.7 | yes | 144 | |
81.74 | odd | 54 | 729.2.g.a.55.7 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
81.2.g.a.4.7 | ✓ | 144 | 1.1 | even | 1 | trivial | |
81.2.g.a.61.7 | yes | 144 | 81.61 | even | 27 | inner | |
243.2.g.a.19.2 | 144 | 81.20 | odd | 54 | |||
243.2.g.a.64.2 | 144 | 3.2 | odd | 2 | |||
729.2.g.a.55.7 | 144 | 81.74 | odd | 54 | |||
729.2.g.a.676.7 | 144 | 9.2 | odd | 6 | |||
729.2.g.b.190.7 | 144 | 9.5 | odd | 6 | |||
729.2.g.b.541.7 | 144 | 81.47 | odd | 54 | |||
729.2.g.c.190.2 | 144 | 9.4 | even | 3 | |||
729.2.g.c.541.2 | 144 | 81.34 | even | 27 | |||
729.2.g.d.55.2 | 144 | 81.7 | even | 27 | |||
729.2.g.d.676.2 | 144 | 9.7 | even | 3 | |||
6561.2.a.c.1.18 | 72 | 81.40 | even | 27 | |||
6561.2.a.d.1.55 | 72 | 81.41 | odd | 54 |