Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(52,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([8, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.52");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.bs (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 52.8 | ||
Character | \(\chi\) | \(=\) | 315.52 |
Dual form | 315.2.bs.e.103.8 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.45962 | − | 1.45962i | −1.03211 | − | 1.03211i | −0.999467 | − | 0.0326432i | \(-0.989607\pi\) |
−0.0326432 | − | 0.999467i | \(-0.510393\pi\) | |||||||
\(3\) | 1.30818 | + | 1.13520i | 0.755277 | + | 0.655405i | ||||
\(4\) | 2.26101i | 1.13050i | ||||||||
\(5\) | 2.22626 | + | 0.209158i | 0.995616 | + | 0.0935382i | ||||
\(6\) | −0.252491 | − | 3.56641i | −0.103079 | − | 1.45598i | ||||
\(7\) | 2.27033 | − | 1.35853i | 0.858104 | − | 0.513476i | ||||
\(8\) | 0.380972 | − | 0.380972i | 0.134694 | − | 0.134694i | ||||
\(9\) | 0.422664 | + | 2.97008i | 0.140888 | + | 0.990026i | ||||
\(10\) | −2.94422 | − | 3.55480i | −0.931044 | − | 1.12413i | ||||
\(11\) | −0.497121 | − | 0.861039i | −0.149888 | − | 0.259613i | 0.781298 | − | 0.624158i | \(-0.214558\pi\) |
−0.931186 | + | 0.364545i | \(0.881225\pi\) | |||||||
\(12\) | −2.56668 | + | 2.95780i | −0.740938 | + | 0.853844i | ||||
\(13\) | −1.39845 | + | 5.21910i | −0.387861 | + | 1.44752i | 0.445746 | + | 0.895159i | \(0.352938\pi\) |
−0.833607 | + | 0.552358i | \(0.813728\pi\) | |||||||
\(14\) | −5.29677 | − | 1.33088i | −1.41562 | − | 0.355694i | ||||
\(15\) | 2.67492 | + | 2.80086i | 0.690661 | + | 0.723179i | ||||
\(16\) | 3.40986 | 0.852465 | ||||||||
\(17\) | −0.897464 | − | 3.34938i | −0.217667 | − | 0.812344i | −0.985211 | − | 0.171348i | \(-0.945188\pi\) |
0.767544 | − | 0.640997i | \(-0.221479\pi\) | |||||||
\(18\) | 3.71827 | − | 4.95213i | 0.876404 | − | 1.16723i | ||||
\(19\) | 2.62423 | + | 4.54530i | 0.602039 | + | 1.04276i | 0.992512 | + | 0.122148i | \(0.0389782\pi\) |
−0.390473 | + | 0.920615i | \(0.627688\pi\) | |||||||
\(20\) | −0.472907 | + | 5.03360i | −0.105745 | + | 1.12555i | ||||
\(21\) | 4.51219 | + | 0.800066i | 0.984641 | + | 0.174589i | ||||
\(22\) | −0.531184 | + | 1.98240i | −0.113249 | + | 0.422650i | ||||
\(23\) | −1.50297 | − | 5.60916i | −0.313391 | − | 1.16959i | −0.925478 | − | 0.378800i | \(-0.876337\pi\) |
0.612088 | − | 0.790790i | \(-0.290330\pi\) | |||||||
\(24\) | 0.930857 | − | 0.0659019i | 0.190010 | − | 0.0134522i | ||||
\(25\) | 4.91251 | + | 0.931281i | 0.982501 | + | 0.186256i | ||||
\(26\) | 9.65914 | − | 5.57671i | 1.89431 | − | 1.09368i | ||||
\(27\) | −2.81870 | + | 4.36520i | −0.542458 | + | 0.840083i | ||||
\(28\) | 3.07165 | + | 5.13323i | 0.580487 | + | 0.970089i | ||||
\(29\) | 0.639335 | + | 0.369120i | 0.118722 | + | 0.0685439i | 0.558185 | − | 0.829717i | \(-0.311498\pi\) |
−0.439463 | + | 0.898261i | \(0.644831\pi\) | |||||||
\(30\) | 0.183829 | − | 7.99258i | 0.0335625 | − | 1.45924i | ||||
\(31\) | − | 0.602745i | − | 0.108256i | −0.998534 | − | 0.0541281i | \(-0.982762\pi\) | ||
0.998534 | − | 0.0541281i | \(-0.0172379\pi\) | |||||||
\(32\) | −5.73906 | − | 5.73906i | −1.01453 | − | 1.01453i | ||||
\(33\) | 0.327124 | − | 1.69072i | 0.0569450 | − | 0.294317i | ||||
\(34\) | −3.57888 | + | 6.19880i | −0.613773 | + | 1.06309i | ||||
\(35\) | 5.33850 | − | 2.54959i | 0.902371 | − | 0.430959i | ||||
\(36\) | −6.71536 | + | 0.955646i | −1.11923 | + | 0.159274i | ||||
\(37\) | 2.06624 | − | 7.71130i | 0.339687 | − | 1.26773i | −0.559010 | − | 0.829161i | \(-0.688819\pi\) |
0.898697 | − | 0.438569i | \(-0.144515\pi\) | |||||||
\(38\) | 2.80404 | − | 10.4648i | 0.454875 | − | 1.69762i | ||||
\(39\) | −7.75412 | + | 5.24000i | −1.24165 | + | 0.839071i | ||||
\(40\) | 0.927827 | − | 0.768461i | 0.146702 | − | 0.121504i | ||||
\(41\) | −4.08844 | + | 2.36046i | −0.638508 | + | 0.368643i | −0.784039 | − | 0.620711i | \(-0.786844\pi\) |
0.145532 | + | 0.989354i | \(0.453511\pi\) | |||||||
\(42\) | −5.41831 | − | 7.75390i | −0.836064 | − | 1.19645i | ||||
\(43\) | −2.52894 | − | 9.43812i | −0.385659 | − | 1.43930i | −0.837125 | − | 0.547011i | \(-0.815765\pi\) |
0.451466 | − | 0.892288i | \(-0.350901\pi\) | |||||||
\(44\) | 1.94682 | − | 1.12399i | 0.293494 | − | 0.169449i | ||||
\(45\) | 0.319747 | + | 6.70058i | 0.0476651 | + | 0.998863i | ||||
\(46\) | −5.99349 | + | 10.3810i | −0.883692 | + | 1.53060i | ||||
\(47\) | −1.53477 | + | 1.53477i | −0.223869 | + | 0.223869i | −0.810125 | − | 0.586257i | \(-0.800601\pi\) |
0.586257 | + | 0.810125i | \(0.300601\pi\) | |||||||
\(48\) | 4.46071 | + | 3.87086i | 0.643848 | + | 0.558710i | ||||
\(49\) | 3.30879 | − | 6.16862i | 0.472684 | − | 0.881232i | ||||
\(50\) | −5.81109 | − | 8.52973i | −0.821813 | − | 1.20629i | ||||
\(51\) | 2.62816 | − | 5.40039i | 0.368016 | − | 0.756205i | ||||
\(52\) | −11.8004 | − | 3.16191i | −1.63642 | − | 0.438478i | ||||
\(53\) | 1.02457 | + | 3.82376i | 0.140736 | + | 0.525234i | 0.999908 | + | 0.0135472i | \(0.00431234\pi\) |
−0.859172 | + | 0.511686i | \(0.829021\pi\) | |||||||
\(54\) | 10.4858 | − | 2.25731i | 1.42693 | − | 0.307181i | ||||
\(55\) | −0.926631 | − | 2.02088i | −0.124947 | − | 0.272495i | ||||
\(56\) | 0.347370 | − | 1.38249i | 0.0464192 | − | 0.184743i | ||||
\(57\) | −1.72684 | + | 8.92507i | −0.228725 | + | 1.18215i | ||||
\(58\) | −0.394412 | − | 1.47197i | −0.0517888 | − | 0.193279i | ||||
\(59\) | 12.0034 | 1.56271 | 0.781355 | − | 0.624087i | \(-0.214529\pi\) | ||||
0.781355 | + | 0.624087i | \(0.214529\pi\) | |||||||
\(60\) | −6.33276 | + | 6.04801i | −0.817556 | + | 0.780794i | ||||
\(61\) | 0.350101i | 0.0448258i | 0.999749 | + | 0.0224129i | \(0.00713485\pi\) | ||||
−0.999749 | + | 0.0224129i | \(0.992865\pi\) | |||||||
\(62\) | −0.879782 | + | 0.879782i | −0.111732 | + | 0.111732i | ||||
\(63\) | 4.99453 | + | 6.16885i | 0.629251 | + | 0.777202i | ||||
\(64\) | 9.93402i | 1.24175i | ||||||||
\(65\) | −4.20494 | + | 11.3266i | −0.521559 | + | 1.40489i | ||||
\(66\) | −2.94530 | + | 1.99034i | −0.362541 | + | 0.244994i | ||||
\(67\) | −5.07281 | − | 5.07281i | −0.619742 | − | 0.619742i | 0.325723 | − | 0.945465i | \(-0.394392\pi\) |
−0.945465 | + | 0.325723i | \(0.894392\pi\) | |||||||
\(68\) | 7.57297 | − | 2.02917i | 0.918358 | − | 0.246073i | ||||
\(69\) | 4.40134 | − | 9.04395i | 0.529859 | − | 1.08876i | ||||
\(70\) | −11.5137 | − | 4.07076i | −1.37614 | − | 0.486549i | ||||
\(71\) | −4.08149 | −0.484384 | −0.242192 | − | 0.970228i | \(-0.577866\pi\) | ||||
−0.242192 | + | 0.970228i | \(0.577866\pi\) | |||||||
\(72\) | 1.29254 | + | 0.970493i | 0.152327 | + | 0.114374i | ||||
\(73\) | −13.1058 | + | 3.51170i | −1.53392 | + | 0.411013i | −0.924296 | − | 0.381677i | \(-0.875347\pi\) |
−0.609625 | + | 0.792690i | \(0.708680\pi\) | |||||||
\(74\) | −14.2715 | + | 8.23967i | −1.65903 | + | 0.957843i | ||||
\(75\) | 5.36925 | + | 6.79493i | 0.619988 | + | 0.784611i | ||||
\(76\) | −10.2769 | + | 5.93340i | −1.17885 | + | 0.680607i | ||||
\(77\) | −2.29838 | − | 1.27949i | −0.261924 | − | 0.145811i | ||||
\(78\) | 18.9665 | + | 3.66968i | 2.14754 | + | 0.415509i | ||||
\(79\) | 13.6870i | 1.53991i | 0.638097 | + | 0.769956i | \(0.279722\pi\) | ||||
−0.638097 | + | 0.769956i | \(0.720278\pi\) | |||||||
\(80\) | 7.59125 | + | 0.713199i | 0.848728 | + | 0.0797381i | ||||
\(81\) | −8.64271 | + | 2.51069i | −0.960301 | + | 0.278965i | ||||
\(82\) | 9.41298 | + | 2.52220i | 1.03949 | + | 0.278531i | ||||
\(83\) | −1.12305 | + | 0.300921i | −0.123271 | + | 0.0330304i | −0.319927 | − | 0.947442i | \(-0.603658\pi\) |
0.196656 | + | 0.980473i | \(0.436992\pi\) | |||||||
\(84\) | −1.80896 | + | 10.2021i | −0.197373 | + | 1.11314i | ||||
\(85\) | −1.29744 | − | 7.64432i | −0.140728 | − | 0.829143i | ||||
\(86\) | −10.0848 | + | 17.4674i | −1.08747 | + | 1.88356i | ||||
\(87\) | 0.417341 | + | 1.20865i | 0.0447436 | + | 0.129580i | ||||
\(88\) | −0.517421 | − | 0.138643i | −0.0551573 | − | 0.0147793i | ||||
\(89\) | −2.54094 | − | 4.40103i | −0.269339 | − | 0.466508i | 0.699352 | − | 0.714777i | \(-0.253472\pi\) |
−0.968691 | + | 0.248269i | \(0.920138\pi\) | |||||||
\(90\) | 9.31362 | − | 10.2470i | 0.981742 | − | 1.08013i | ||||
\(91\) | 3.91535 | + | 13.7489i | 0.410441 | + | 1.44128i | ||||
\(92\) | 12.6823 | − | 3.39822i | 1.32223 | − | 0.354289i | ||||
\(93\) | 0.684233 | − | 0.788499i | 0.0709517 | − | 0.0817635i | ||||
\(94\) | 4.48037 | 0.462115 | ||||||||
\(95\) | 4.89154 | + | 10.6679i | 0.501862 | + | 1.09450i | ||||
\(96\) | −0.992764 | − | 14.0227i | −0.101324 | − | 1.43118i | ||||
\(97\) | −0.0869985 | − | 0.324683i | −0.00883336 | − | 0.0329665i | 0.961368 | − | 0.275265i | \(-0.0887655\pi\) |
−0.970202 | + | 0.242298i | \(0.922099\pi\) | |||||||
\(98\) | −13.8335 | + | 4.17428i | −1.39739 | + | 0.421666i | ||||
\(99\) | 2.34724 | − | 1.84042i | 0.235906 | − | 0.184969i | ||||
\(100\) | −2.10563 | + | 11.1072i | −0.210563 | + | 1.11072i | ||||
\(101\) | −14.8102 | + | 8.55068i | −1.47367 | + | 0.850824i | −0.999561 | − | 0.0296413i | \(-0.990564\pi\) |
−0.474110 | + | 0.880466i | \(0.657230\pi\) | |||||||
\(102\) | −11.7187 | + | 4.04641i | −1.16032 | + | 0.400655i | ||||
\(103\) | −1.11812 | + | 0.299598i | −0.110171 | + | 0.0295203i | −0.313483 | − | 0.949594i | \(-0.601496\pi\) |
0.203312 | + | 0.979114i | \(0.434829\pi\) | |||||||
\(104\) | 1.45556 | + | 2.52110i | 0.142729 | + | 0.247214i | ||||
\(105\) | 9.87800 | + | 2.72492i | 0.963994 | + | 0.265925i | ||||
\(106\) | 4.08576 | − | 7.07674i | 0.396844 | − | 0.687354i | ||||
\(107\) | 1.55729 | − | 5.81190i | 0.150549 | − | 0.561857i | −0.848896 | − | 0.528559i | \(-0.822732\pi\) |
0.999445 | − | 0.0332977i | \(-0.0106010\pi\) | |||||||
\(108\) | −9.86974 | − | 6.37309i | −0.949716 | − | 0.613251i | ||||
\(109\) | −11.3290 | − | 6.54083i | −1.08513 | − | 0.626498i | −0.152852 | − | 0.988249i | \(-0.548846\pi\) |
−0.932275 | + | 0.361751i | \(0.882179\pi\) | |||||||
\(110\) | −1.59719 | + | 4.30226i | −0.152286 | + | 0.410204i | ||||
\(111\) | 11.4568 | − | 7.74218i | 1.08744 | − | 0.734855i | ||||
\(112\) | 7.74151 | − | 4.63240i | 0.731504 | − | 0.437721i | ||||
\(113\) | −12.7935 | − | 3.42802i | −1.20352 | − | 0.322481i | −0.399301 | − | 0.916820i | \(-0.630747\pi\) |
−0.804215 | + | 0.594339i | \(0.797414\pi\) | |||||||
\(114\) | 15.5478 | − | 10.5067i | 1.45618 | − | 0.984044i | ||||
\(115\) | −2.17281 | − | 12.8018i | −0.202615 | − | 1.19378i | ||||
\(116\) | −0.834583 | + | 1.44554i | −0.0774891 | + | 0.134215i | ||||
\(117\) | −16.0922 | − | 1.94759i | −1.48772 | − | 0.180055i | ||||
\(118\) | −17.5205 | − | 17.5205i | −1.61289 | − | 1.61289i | ||||
\(119\) | −6.58778 | − | 6.38497i | −0.603900 | − | 0.585309i | ||||
\(120\) | 2.08612 | + | 0.0479807i | 0.190436 | + | 0.00438002i | ||||
\(121\) | 5.00574 | − | 8.67020i | 0.455067 | − | 0.788200i | ||||
\(122\) | 0.511016 | − | 0.511016i | 0.0462652 | − | 0.0462652i | ||||
\(123\) | −8.02800 | − | 1.55327i | −0.723861 | − | 0.140054i | ||||
\(124\) | 1.36281 | 0.122384 | ||||||||
\(125\) | 10.7418 | + | 3.10077i | 0.960772 | + | 0.277341i | ||||
\(126\) | 1.71407 | − | 16.2943i | 0.152702 | − | 1.45161i | ||||
\(127\) | 5.48306 | + | 5.48306i | 0.486543 | + | 0.486543i | 0.907213 | − | 0.420671i | \(-0.138205\pi\) |
−0.420671 | + | 0.907213i | \(0.638205\pi\) | |||||||
\(128\) | 3.02182 | − | 3.02182i | 0.267094 | − | 0.267094i | ||||
\(129\) | 7.40580 | − | 15.2176i | 0.652045 | − | 1.33983i | ||||
\(130\) | 22.6702 | − | 10.3949i | 1.98831 | − | 0.911697i | ||||
\(131\) | 6.99854 | + | 4.04061i | 0.611465 | + | 0.353030i | 0.773539 | − | 0.633749i | \(-0.218485\pi\) |
−0.162074 | + | 0.986779i | \(0.551818\pi\) | |||||||
\(132\) | 3.82274 | + | 0.739630i | 0.332727 | + | 0.0643765i | ||||
\(133\) | 12.1328 | + | 6.75423i | 1.05205 | + | 0.585666i | ||||
\(134\) | 14.8088i | 1.27928i | ||||||||
\(135\) | −7.18818 | + | 9.12853i | −0.618660 | + | 0.785659i | ||||
\(136\) | −1.61793 | − | 0.934112i | −0.138736 | − | 0.0800994i | ||||
\(137\) | −0.721773 | + | 2.69369i | −0.0616652 | + | 0.230138i | −0.989880 | − | 0.141907i | \(-0.954677\pi\) |
0.928215 | + | 0.372045i | \(0.121343\pi\) | |||||||
\(138\) | −19.6251 | + | 6.77647i | −1.67060 | + | 0.576851i | ||||
\(139\) | −6.27292 | − | 10.8650i | −0.532063 | − | 0.921559i | −0.999299 | − | 0.0374272i | \(-0.988084\pi\) |
0.467237 | − | 0.884132i | \(-0.345250\pi\) | |||||||
\(140\) | 5.76464 | + | 12.0704i | 0.487201 | + | 1.02013i | ||||
\(141\) | −3.75001 | + | 0.265490i | −0.315808 | + | 0.0223583i | ||||
\(142\) | 5.95744 | + | 5.95744i | 0.499938 | + | 0.499938i | ||||
\(143\) | 5.18905 | − | 1.39040i | 0.433930 | − | 0.116271i | ||||
\(144\) | 1.44123 | + | 10.1276i | 0.120102 | + | 0.843963i | ||||
\(145\) | 1.34612 | + | 0.955481i | 0.111790 | + | 0.0793484i | ||||
\(146\) | 24.2553 | + | 14.0038i | 2.00739 | + | 1.15897i | ||||
\(147\) | 11.3311 | − | 4.31354i | 0.934572 | − | 0.355775i | ||||
\(148\) | 17.4353 | + | 4.67178i | 1.43317 | + | 0.384018i | ||||
\(149\) | −3.29592 | − | 1.90290i | −0.270012 | − | 0.155892i | 0.358881 | − | 0.933383i | \(-0.383158\pi\) |
−0.628893 | + | 0.777492i | \(0.716492\pi\) | |||||||
\(150\) | 2.08096 | − | 17.7551i | 0.169910 | − | 1.44970i | ||||
\(151\) | −5.66038 | − | 9.80407i | −0.460635 | − | 0.797844i | 0.538357 | − | 0.842717i | \(-0.319045\pi\) |
−0.998993 | + | 0.0448727i | \(0.985712\pi\) | |||||||
\(152\) | 2.73139 | + | 0.731873i | 0.221545 | + | 0.0593627i | ||||
\(153\) | 9.56859 | − | 4.08120i | 0.773575 | − | 0.329945i | ||||
\(154\) | 1.48719 | + | 5.22234i | 0.119842 | + | 0.420828i | ||||
\(155\) | 0.126069 | − | 1.34187i | 0.0101261 | − | 0.107782i | ||||
\(156\) | −11.8477 | − | 17.5321i | −0.948573 | − | 1.40369i | ||||
\(157\) | −7.21492 | + | 7.21492i | −0.575814 | + | 0.575814i | −0.933747 | − | 0.357933i | \(-0.883481\pi\) |
0.357933 | + | 0.933747i | \(0.383481\pi\) | |||||||
\(158\) | 19.9779 | − | 19.9779i | 1.58936 | − | 1.58936i | ||||
\(159\) | −3.00039 | + | 6.16525i | −0.237946 | + | 0.488936i | ||||
\(160\) | −11.5763 | − | 13.9770i | −0.915187 | − | 1.10498i | ||||
\(161\) | −11.0324 | − | 10.6928i | −0.869479 | − | 0.842711i | ||||
\(162\) | 16.2798 | + | 8.95045i | 1.27906 | + | 0.703214i | ||||
\(163\) | 8.09255 | + | 2.16839i | 0.633857 | + | 0.169842i | 0.561419 | − | 0.827531i | \(-0.310255\pi\) |
0.0724379 | + | 0.997373i | \(0.476922\pi\) | |||||||
\(164\) | −5.33702 | − | 9.24400i | −0.416752 | − | 0.721835i | ||||
\(165\) | 1.08189 | − | 3.69558i | 0.0842252 | − | 0.287700i | ||||
\(166\) | 2.07847 | + | 1.20000i | 0.161320 | + | 0.0931384i | ||||
\(167\) | −1.97351 | − | 0.528799i | −0.152715 | − | 0.0409197i | 0.181652 | − | 0.983363i | \(-0.441856\pi\) |
−0.334366 | + | 0.942443i | \(0.608522\pi\) | |||||||
\(168\) | 2.02382 | − | 1.41422i | 0.156141 | − | 0.109109i | ||||
\(169\) | −14.0250 | − | 8.09733i | −1.07884 | − | 0.622871i | ||||
\(170\) | −9.26406 | + | 13.0516i | −0.710521 | + | 1.00101i | ||||
\(171\) | −12.3907 | + | 9.71529i | −0.947541 | + | 0.742947i | ||||
\(172\) | 21.3396 | − | 5.71794i | 1.62713 | − | 0.435989i | ||||
\(173\) | 0.150589 | + | 0.150589i | 0.0114491 | + | 0.0114491i | 0.712808 | − | 0.701359i | \(-0.247423\pi\) |
−0.701359 | + | 0.712808i | \(0.747423\pi\) | |||||||
\(174\) | 1.15501 | − | 2.37333i | 0.0875608 | − | 0.179922i | ||||
\(175\) | 12.4182 | − | 4.55947i | 0.938726 | − | 0.344664i | ||||
\(176\) | −1.69512 | − | 2.93603i | −0.127774 | − | 0.221311i | ||||
\(177\) | 15.7026 | + | 13.6262i | 1.18028 | + | 1.02421i | ||||
\(178\) | −2.71504 | + | 10.1327i | −0.203501 | + | 0.759475i | ||||
\(179\) | 19.3707 | + | 11.1837i | 1.44783 | + | 0.835906i | 0.998352 | − | 0.0573851i | \(-0.0182763\pi\) |
0.449479 | + | 0.893291i | \(0.351610\pi\) | |||||||
\(180\) | −15.1501 | + | 0.722951i | −1.12922 | + | 0.0538856i | ||||
\(181\) | − | 8.35480i | − | 0.621007i | −0.950572 | − | 0.310504i | \(-0.899502\pi\) | ||
0.950572 | − | 0.310504i | \(-0.100498\pi\) | |||||||
\(182\) | 14.3533 | − | 25.7832i | 1.06394 | − | 1.91118i | ||||
\(183\) | −0.397433 | + | 0.457994i | −0.0293791 | + | 0.0338559i | ||||
\(184\) | −2.70952 | − | 1.56434i | −0.199749 | − | 0.115325i | ||||
\(185\) | 6.21287 | − | 16.7352i | 0.456779 | − | 1.23040i | ||||
\(186\) | −2.14964 | + | 0.152188i | −0.157619 | + | 0.0111590i | ||||
\(187\) | −2.43780 | + | 2.43780i | −0.178270 | + | 0.178270i | ||||
\(188\) | −3.47012 | − | 3.47012i | −0.253085 | − | 0.253085i | ||||
\(189\) | −0.469116 | + | 13.7397i | −0.0341232 | + | 0.999418i | ||||
\(190\) | 8.43133 | − | 22.7110i | 0.611673 | − | 1.64763i | ||||
\(191\) | −8.78348 | −0.635550 | −0.317775 | − | 0.948166i | \(-0.602936\pi\) | ||||
−0.317775 | + | 0.948166i | \(0.602936\pi\) | |||||||
\(192\) | −11.2771 | + | 12.9955i | −0.813851 | + | 0.937868i | ||||
\(193\) | −12.9800 | + | 12.9800i | −0.934320 | + | 0.934320i | −0.997972 | − | 0.0636525i | \(-0.979725\pi\) |
0.0636525 | + | 0.997972i | \(0.479725\pi\) | |||||||
\(194\) | −0.346930 | + | 0.600900i | −0.0249081 | + | 0.0431421i | ||||
\(195\) | −18.3587 | + | 10.0438i | −1.31469 | + | 0.719250i | ||||
\(196\) | 13.9473 | + | 7.48120i | 0.996235 | + | 0.534371i | ||||
\(197\) | −5.39060 | − | 5.39060i | −0.384064 | − | 0.384064i | 0.488500 | − | 0.872564i | \(-0.337544\pi\) |
−0.872564 | + | 0.488500i | \(0.837544\pi\) | |||||||
\(198\) | −6.11241 | − | 0.739765i | −0.434390 | − | 0.0525728i | ||||
\(199\) | 7.28550 | − | 12.6189i | 0.516456 | − | 0.894527i | −0.483362 | − | 0.875421i | \(-0.660584\pi\) |
0.999817 | − | 0.0191068i | \(-0.00608225\pi\) | |||||||
\(200\) | 2.22632 | − | 1.51673i | 0.157424 | − | 0.107249i | ||||
\(201\) | −0.877513 | − | 12.3948i | −0.0618950 | − | 0.874260i | ||||
\(202\) | 34.0981 | + | 9.13656i | 2.39914 | + | 0.642846i | ||||
\(203\) | 1.95296 | − | 0.0305314i | 0.137071 | − | 0.00214288i | ||||
\(204\) | 12.2103 | + | 5.94228i | 0.854893 | + | 0.416043i | ||||
\(205\) | −9.59566 | + | 4.39989i | −0.670190 | + | 0.307301i | ||||
\(206\) | 2.06933 | + | 1.19473i | 0.144177 | + | 0.0832407i | ||||
\(207\) | 16.0244 | − | 6.83472i | 1.11377 | − | 0.475046i | ||||
\(208\) | −4.76853 | + | 17.7964i | −0.330638 | + | 1.23396i | ||||
\(209\) | 2.60912 | − | 4.51913i | 0.180477 | − | 0.312595i | ||||
\(210\) | −10.4408 | − | 18.3955i | −0.720484 | − | 1.26941i | ||||
\(211\) | 3.97825 | + | 6.89053i | 0.273874 | + | 0.474364i | 0.969850 | − | 0.243701i | \(-0.0783615\pi\) |
−0.695976 | + | 0.718065i | \(0.745028\pi\) | |||||||
\(212\) | −8.64554 | + | 2.31657i | −0.593778 | + | 0.159102i | ||||
\(213\) | −5.33932 | − | 4.63329i | −0.365844 | − | 0.317468i | ||||
\(214\) | −10.7562 | + | 6.21012i | −0.735282 | + | 0.424515i | ||||
\(215\) | −3.65603 | − | 21.5407i | −0.249339 | − | 1.46906i | ||||
\(216\) | 0.589173 | + | 2.73686i | 0.0400882 | + | 0.186220i | ||||
\(217\) | −0.818848 | − | 1.36843i | −0.0555870 | − | 0.0928951i | ||||
\(218\) | 6.98900 | + | 26.0833i | 0.473355 | + | 1.76658i | ||||
\(219\) | −21.1312 | − | 10.2837i | −1.42792 | − | 0.694911i | ||||
\(220\) | 4.56922 | − | 2.09512i | 0.308057 | − | 0.141253i | ||||
\(221\) | 18.7358 | 1.26031 | ||||||||
\(222\) | −28.0234 | − | 5.42201i | −1.88080 | − | 0.363901i | ||||
\(223\) | −0.370751 | + | 0.0993425i | −0.0248273 | + | 0.00665247i | −0.271211 | − | 0.962520i | \(-0.587424\pi\) |
0.246384 | + | 0.969172i | \(0.420758\pi\) | |||||||
\(224\) | −20.8262 | − | 5.23287i | −1.39151 | − | 0.349636i | ||||
\(225\) | −0.689635 | + | 14.9841i | −0.0459757 | + | 0.998943i | ||||
\(226\) | 13.6701 | + | 23.6774i | 0.909325 | + | 1.57500i | ||||
\(227\) | 14.7533 | + | 3.95313i | 0.979211 | + | 0.262379i | 0.712712 | − | 0.701457i | \(-0.247467\pi\) |
0.266499 | + | 0.963835i | \(0.414133\pi\) | |||||||
\(228\) | −20.1796 | − | 3.90439i | −1.33643 | − | 0.258575i | ||||
\(229\) | 11.0748 | − | 19.1822i | 0.731845 | − | 1.26759i | −0.224249 | − | 0.974532i | \(-0.571993\pi\) |
0.956094 | − | 0.293060i | \(-0.0946737\pi\) | |||||||
\(230\) | −15.5144 | + | 21.8573i | −1.02299 | + | 1.44123i | ||||
\(231\) | −1.55422 | − | 4.28291i | −0.102260 | − | 0.281795i | ||||
\(232\) | 0.384193 | − | 0.102944i | 0.0252235 | − | 0.00675862i | ||||
\(233\) | 26.0771 | + | 6.98735i | 1.70837 | + | 0.457756i | 0.975024 | − | 0.222099i | \(-0.0712908\pi\) |
0.733346 | + | 0.679855i | \(0.237957\pi\) | |||||||
\(234\) | 20.6458 | + | 26.3313i | 1.34966 | + | 1.72133i | ||||
\(235\) | −3.73781 | + | 3.09579i | −0.243828 | + | 0.201947i | ||||
\(236\) | 27.1398i | 1.76665i | ||||||||
\(237\) | −15.5375 | + | 17.9051i | −1.00927 | + | 1.16306i | ||||
\(238\) | 0.296023 | + | 18.9353i | 0.0191883 | + | 1.22740i | ||||
\(239\) | −2.99819 | + | 1.73100i | −0.193937 | + | 0.111969i | −0.593824 | − | 0.804595i | \(-0.702383\pi\) |
0.399888 | + | 0.916564i | \(0.369049\pi\) | |||||||
\(240\) | 9.12110 | + | 9.55055i | 0.588764 | + | 0.616485i | ||||
\(241\) | −18.3752 | + | 10.6089i | −1.18365 | + | 0.683379i | −0.956856 | − | 0.290564i | \(-0.906157\pi\) |
−0.226792 | + | 0.973943i | \(0.572824\pi\) | |||||||
\(242\) | −19.9617 | + | 5.34873i | −1.28319 | + | 0.343829i | ||||
\(243\) | −14.1563 | − | 6.52673i | −0.908129 | − | 0.418690i | ||||
\(244\) | −0.791580 | −0.0506757 | ||||||||
\(245\) | 8.65646 | − | 13.0409i | 0.553041 | − | 0.833154i | ||||
\(246\) | 9.45067 | + | 13.9851i | 0.602553 | + | 0.891655i | ||||
\(247\) | −27.3922 | + | 7.33972i | −1.74292 | + | 0.467015i | ||||
\(248\) | −0.229629 | − | 0.229629i | −0.0145815 | − | 0.0145815i | ||||
\(249\) | −1.81076 | − | 0.881226i | −0.114752 | − | 0.0558454i | ||||
\(250\) | −11.1530 | − | 20.2049i | −0.705376 | − | 1.27787i | ||||
\(251\) | 13.2777i | 0.838084i | 0.907967 | + | 0.419042i | \(0.137634\pi\) | ||||
−0.907967 | + | 0.419042i | \(0.862366\pi\) | |||||||
\(252\) | −13.9478 | + | 11.2927i | −0.878630 | + | 0.711370i | ||||
\(253\) | −4.08255 | + | 4.08255i | −0.256668 | + | 0.256668i | ||||
\(254\) | − | 16.0064i | − | 1.00433i | ||||||
\(255\) | 6.98051 | − | 11.4730i | 0.437136 | − | 0.718467i | ||||
\(256\) | 11.0466 | 0.690412 | ||||||||
\(257\) | 4.46055 | + | 16.6470i | 0.278241 | + | 1.03841i | 0.953638 | + | 0.300956i | \(0.0973058\pi\) |
−0.675397 | + | 0.737455i | \(0.736028\pi\) | |||||||
\(258\) | −33.0216 | + | 11.4023i | −2.05584 | + | 0.709874i | ||||
\(259\) | −5.78500 | − | 20.3142i | −0.359462 | − | 1.26227i | ||||
\(260\) | −25.6095 | − | 9.50740i | −1.58823 | − | 0.589624i | ||||
\(261\) | −0.826091 | + | 2.05489i | −0.0511338 | + | 0.127194i | ||||
\(262\) | −4.31747 | − | 16.1130i | −0.266734 | − | 0.995465i | ||||
\(263\) | 4.08662 | + | 1.09501i | 0.251992 | + | 0.0675210i | 0.382604 | − | 0.923913i | \(-0.375028\pi\) |
−0.130612 | + | 0.991434i | \(0.541694\pi\) | |||||||
\(264\) | −0.519493 | − | 0.768743i | −0.0319726 | − | 0.0473129i | ||||
\(265\) | 1.48120 | + | 8.72699i | 0.0909895 | + | 0.536095i | ||||
\(266\) | −7.85067 | − | 27.5679i | −0.481356 | − | 1.69030i | ||||
\(267\) | 1.67203 | − | 8.64180i | 0.102327 | − | 0.528869i | ||||
\(268\) | 11.4697 | − | 11.4697i | 0.700621 | − | 0.700621i | ||||
\(269\) | −13.0396 | + | 22.5853i | −0.795041 | + | 1.37705i | 0.127772 | + | 0.991804i | \(0.459217\pi\) |
−0.922813 | + | 0.385248i | \(0.874116\pi\) | |||||||
\(270\) | 23.8163 | − | 2.83219i | 1.44941 | − | 0.172361i | ||||
\(271\) | 18.3903 | − | 10.6176i | 1.11713 | − | 0.644975i | 0.176462 | − | 0.984307i | \(-0.443535\pi\) |
0.940666 | + | 0.339333i | \(0.110201\pi\) | |||||||
\(272\) | −3.06023 | − | 11.4209i | −0.185554 | − | 0.692496i | ||||
\(273\) | −10.4857 | + | 22.4307i | −0.634624 | + | 1.35757i | ||||
\(274\) | 4.98530 | − | 2.87826i | 0.301173 | − | 0.173882i | ||||
\(275\) | −1.64024 | − | 4.69282i | −0.0989103 | − | 0.282988i | ||||
\(276\) | 20.4484 | + | 9.95145i | 1.23085 | + | 0.599007i | ||||
\(277\) | −1.49618 | + | 5.58383i | −0.0898969 | + | 0.335500i | −0.996196 | − | 0.0871362i | \(-0.972228\pi\) |
0.906300 | + | 0.422636i | \(0.138895\pi\) | |||||||
\(278\) | −6.70274 | + | 25.0150i | −0.402004 | + | 1.50030i | ||||
\(279\) | 1.79020 | − | 0.254759i | 0.107176 | − | 0.0152520i | ||||
\(280\) | 1.06250 | − | 3.00514i | 0.0634963 | − | 0.179592i | ||||
\(281\) | 0.399725 | − | 0.692345i | 0.0238456 | − | 0.0413018i | −0.853856 | − | 0.520509i | \(-0.825742\pi\) |
0.877702 | + | 0.479207i | \(0.159076\pi\) | |||||||
\(282\) | 5.86113 | + | 5.08609i | 0.349025 | + | 0.302872i | ||||
\(283\) | 6.55979 | + | 6.55979i | 0.389939 | + | 0.389939i | 0.874666 | − | 0.484727i | \(-0.161081\pi\) |
−0.484727 | + | 0.874666i | \(0.661081\pi\) | |||||||
\(284\) | − | 9.22828i | − | 0.547598i | ||||||
\(285\) | −5.71115 | + | 19.5084i | −0.338299 | + | 1.15558i | ||||
\(286\) | −9.60353 | − | 5.54460i | −0.567869 | − | 0.327859i | ||||
\(287\) | −6.07535 | + | 10.9133i | −0.358617 | + | 0.644192i | ||||
\(288\) | 14.6198 | − | 19.4711i | 0.861477 | − | 1.14735i | ||||
\(289\) | 4.30952 | − | 2.48810i | 0.253501 | − | 0.146359i | ||||
\(290\) | −0.570192 | − | 3.35948i | −0.0334829 | − | 0.197275i | ||||
\(291\) | 0.254769 | − | 0.523503i | 0.0149348 | − | 0.0306883i | ||||
\(292\) | −7.93997 | − | 29.6324i | −0.464652 | − | 1.73410i | ||||
\(293\) | 5.74246 | − | 21.4312i | 0.335478 | − | 1.25202i | −0.567872 | − | 0.823117i | \(-0.692233\pi\) |
0.903350 | − | 0.428904i | \(-0.141100\pi\) | |||||||
\(294\) | −22.8353 | − | 10.2430i | −1.33178 | − | 0.597383i | ||||
\(295\) | 26.7227 | + | 2.51060i | 1.55586 | + | 0.146173i | ||||
\(296\) | −2.15061 | − | 3.72497i | −0.125002 | − | 0.216509i | ||||
\(297\) | 5.15984 | + | 0.256976i | 0.299404 | + | 0.0149113i | ||||
\(298\) | 2.03329 | + | 7.58833i | 0.117785 | + | 0.439580i | ||||
\(299\) | 31.3766 | 1.81455 | ||||||||
\(300\) | −15.3634 | + | 12.1399i | −0.887006 | + | 0.700898i | ||||
\(301\) | −18.5635 | − | 17.9920i | −1.06998 | − | 1.03704i | ||||
\(302\) | −6.04823 | + | 22.5723i | −0.348036 | + | 1.29889i | ||||
\(303\) | −29.0811 | − | 5.62666i | −1.67066 | − | 0.323243i | ||||
\(304\) | 8.94825 | + | 15.4988i | 0.513218 | + | 0.888919i | ||||
\(305\) | −0.0732263 | + | 0.779417i | −0.00419292 | + | 0.0446293i | ||||
\(306\) | −19.9236 | − | 8.00953i | −1.13895 | − | 0.457875i | ||||
\(307\) | 21.4711 | − | 21.4711i | 1.22542 | − | 1.22542i | 0.259742 | − | 0.965678i | \(-0.416362\pi\) |
0.965678 | − | 0.259742i | \(-0.0836376\pi\) | |||||||
\(308\) | 2.89293 | − | 5.19665i | 0.164840 | − | 0.296106i | ||||
\(309\) | −1.80280 | − | 0.877352i | −0.102558 | − | 0.0499108i | ||||
\(310\) | −2.14264 | + | 1.77461i | −0.121694 | + | 0.100791i | ||||
\(311\) | − | 8.96982i | − | 0.508632i | −0.967121 | − | 0.254316i | \(-0.918150\pi\) | ||
0.967121 | − | 0.254316i | \(-0.0818503\pi\) | |||||||
\(312\) | −0.957811 | + | 4.95039i | −0.0542254 | + | 0.280261i | ||||
\(313\) | 10.7188 | + | 10.7188i | 0.605862 | + | 0.605862i | 0.941862 | − | 0.336000i | \(-0.109074\pi\) |
−0.336000 | + | 0.941862i | \(0.609074\pi\) | |||||||
\(314\) | 21.0622 | 1.18861 | ||||||||
\(315\) | 9.82887 | + | 14.7781i | 0.553794 | + | 0.832654i | ||||
\(316\) | −30.9465 | −1.74088 | ||||||||
\(317\) | −2.04572 | − | 2.04572i | −0.114899 | − | 0.114899i | 0.647319 | − | 0.762219i | \(-0.275890\pi\) |
−0.762219 | + | 0.647319i | \(0.775890\pi\) | |||||||
\(318\) | 13.3784 | − | 4.61951i | 0.750223 | − | 0.259049i | ||||
\(319\) | − | 0.733990i | − | 0.0410956i | ||||||
\(320\) | −2.07778 | + | 22.1158i | −0.116151 | + | 1.23631i | ||||
\(321\) | 8.63485 | − | 5.83517i | 0.481950 | − | 0.325687i | ||||
\(322\) | 0.495746 | + | 31.7107i | 0.0276268 | + | 1.76717i | ||||
\(323\) | 12.8688 | − | 12.8688i | 0.716038 | − | 0.716038i | ||||
\(324\) | −5.67668 | − | 19.5412i | −0.315371 | − | 1.08562i | ||||
\(325\) | −11.7304 | + | 24.3365i | −0.650683 | + | 1.34995i | ||||
\(326\) | −8.64704 | − | 14.9771i | −0.478915 | − | 0.829506i | ||||
\(327\) | −7.39531 | − | 21.4173i | −0.408961 | − | 1.18438i | ||||
\(328\) | −0.658312 | + | 2.45685i | −0.0363492 | + | 0.135657i | ||||
\(329\) | −1.39940 | + | 5.56946i | −0.0771514 | + | 0.307054i | ||||
\(330\) | −6.97331 | + | 3.81500i | −0.383868 | + | 0.210009i | ||||
\(331\) | 30.7599 | 1.69072 | 0.845359 | − | 0.534198i | \(-0.179386\pi\) | ||||
0.845359 | + | 0.534198i | \(0.179386\pi\) | |||||||
\(332\) | −0.680385 | − | 2.53923i | −0.0373410 | − | 0.139358i | ||||
\(333\) | 23.7765 | + | 2.87759i | 1.30294 | + | 0.157691i | ||||
\(334\) | 2.10873 | + | 3.65243i | 0.115385 | + | 0.199852i | ||||
\(335\) | −10.2324 | − | 12.3544i | −0.559056 | − | 0.674995i | ||||
\(336\) | 15.3860 | + | 2.72812i | 0.839373 | + | 0.148831i | ||||
\(337\) | −6.43156 | + | 24.0029i | −0.350350 | + | 1.30752i | 0.535887 | + | 0.844290i | \(0.319977\pi\) |
−0.886237 | + | 0.463233i | \(0.846689\pi\) | |||||||
\(338\) | 8.65215 | + | 32.2903i | 0.470615 | + | 1.75636i | ||||
\(339\) | −12.8448 | − | 19.0076i | −0.697632 | − | 1.03235i | ||||
\(340\) | 17.2839 | − | 2.93353i | 0.937349 | − | 0.159093i | ||||
\(341\) | −0.518987 | + | 0.299638i | −0.0281047 | + | 0.0162263i | ||||
\(342\) | 32.2665 | + | 3.90511i | 1.74477 | + | 0.211164i | ||||
\(343\) | −0.868214 | − | 18.4999i | −0.0468791 | − | 0.998901i | ||||
\(344\) | −4.55911 | − | 2.63220i | −0.245811 | − | 0.141919i | ||||
\(345\) | 11.6901 | − | 19.2136i | 0.629377 | − | 1.03443i | ||||
\(346\) | − | 0.439608i | − | 0.0236335i | ||||||
\(347\) | −17.7032 | − | 17.7032i | −0.950355 | − | 0.950355i | 0.0484694 | − | 0.998825i | \(-0.484566\pi\) |
−0.998825 | + | 0.0484694i | \(0.984566\pi\) | |||||||
\(348\) | −2.73275 | + | 0.943611i | −0.146491 | + | 0.0505828i | ||||
\(349\) | 11.3989 | − | 19.7434i | 0.610167 | − | 1.05684i | −0.381045 | − | 0.924557i | \(-0.624436\pi\) |
0.991212 | − | 0.132284i | \(-0.0422310\pi\) | |||||||
\(350\) | −24.7810 | − | 11.4708i | −1.32460 | − | 0.613138i | ||||
\(351\) | −18.8406 | − | 20.8156i | −1.00564 | − | 1.11105i | ||||
\(352\) | −2.08855 | + | 7.79457i | −0.111320 | + | 0.415452i | ||||
\(353\) | 5.74973 | − | 21.4583i | 0.306027 | − | 1.14211i | −0.626030 | − | 0.779799i | \(-0.715321\pi\) |
0.932057 | − | 0.362311i | \(-0.118012\pi\) | |||||||
\(354\) | −3.03075 | − | 42.8090i | −0.161083 | − | 2.27527i | ||||
\(355\) | −9.08648 | − | 0.853675i | −0.482260 | − | 0.0453084i | ||||
\(356\) | 9.95076 | − | 5.74508i | 0.527389 | − | 0.304488i | ||||
\(357\) | −1.36980 | − | 15.8311i | −0.0724977 | − | 0.837870i | ||||
\(358\) | −11.9500 | − | 44.5978i | −0.631575 | − | 2.35707i | ||||
\(359\) | −6.85196 | + | 3.95598i | −0.361632 | + | 0.208789i | −0.669797 | − | 0.742545i | \(-0.733619\pi\) |
0.308164 | + | 0.951333i | \(0.400285\pi\) | |||||||
\(360\) | 2.67455 | + | 2.43092i | 0.140961 | + | 0.128121i | ||||
\(361\) | −4.27315 | + | 7.40130i | −0.224902 | + | 0.389542i | ||||
\(362\) | −12.1949 | + | 12.1949i | −0.640948 | + | 0.640948i | ||||
\(363\) | 16.3908 | − | 5.65968i | 0.860292 | − | 0.297056i | ||||
\(364\) | −31.0864 | + | 8.85264i | −1.62937 | + | 0.464004i | ||||
\(365\) | −29.9115 | + | 5.07678i | −1.56564 | + | 0.265731i | ||||
\(366\) | 1.24860 | − | 0.0883974i | 0.0652655 | − | 0.00462061i | ||||
\(367\) | 18.2704 | + | 4.89553i | 0.953705 | + | 0.255545i | 0.701934 | − | 0.712242i | \(-0.252320\pi\) |
0.251771 | + | 0.967787i | \(0.418987\pi\) | |||||||
\(368\) | −5.12492 | − | 19.1265i | −0.267155 | − | 0.997035i | ||||
\(369\) | −8.73880 | − | 11.1453i | −0.454924 | − | 0.580201i | ||||
\(370\) | −33.4956 | + | 15.3587i | −1.74135 | + | 0.798460i | ||||
\(371\) | 7.52081 | + | 7.28928i | 0.390461 | + | 0.378440i | ||||
\(372\) | 1.78280 | + | 1.54706i | 0.0924339 | + | 0.0802111i | ||||
\(373\) | 1.51872 | + | 5.66792i | 0.0786361 | + | 0.293474i | 0.994033 | − | 0.109078i | \(-0.0347899\pi\) |
−0.915397 | + | 0.402552i | \(0.868123\pi\) | |||||||
\(374\) | 7.11655 | 0.367988 | ||||||||
\(375\) | 10.5322 | + | 16.2503i | 0.543878 | + | 0.839164i | ||||
\(376\) | 1.16941i | 0.0603076i | ||||||||
\(377\) | −2.82055 | + | 2.82055i | −0.145266 | + | 0.145266i | ||||
\(378\) | 20.7396 | − | 19.3701i | 1.06673 | − | 0.996290i | ||||
\(379\) | 0.607404i | 0.0312003i | 0.999878 | + | 0.0156001i | \(0.00496588\pi\) | ||||
−0.999878 | + | 0.0156001i | \(0.995034\pi\) | |||||||
\(380\) | −24.1202 | + | 11.0598i | −1.23734 | + | 0.567356i | ||||
\(381\) | 0.948480 | + | 13.3972i | 0.0485921 | + | 0.686357i | ||||
\(382\) | 12.8206 | + | 12.8206i | 0.655958 | + | 0.655958i | ||||
\(383\) | −2.92049 | + | 0.782543i | −0.149230 | + | 0.0399861i | −0.332661 | − | 0.943047i | \(-0.607946\pi\) |
0.183431 | + | 0.983033i | \(0.441280\pi\) | |||||||
\(384\) | 7.38344 | − | 0.522726i | 0.376785 | − | 0.0266752i | ||||
\(385\) | −4.84918 | − | 3.32920i | −0.247137 | − | 0.169672i | ||||
\(386\) | 37.8918 | 1.92864 | ||||||||
\(387\) | 26.9630 | − | 11.5003i | 1.37061 | − | 0.584592i | ||||
\(388\) | 0.734110 | − | 0.196704i | 0.0372688 | − | 0.00998614i | ||||
\(389\) | −30.9948 | + | 17.8949i | −1.57150 | + | 0.907305i | −0.575513 | + | 0.817793i | \(0.695198\pi\) |
−0.995986 | + | 0.0895126i | \(0.971469\pi\) | |||||||
\(390\) | 41.4570 | + | 12.1367i | 2.09926 | + | 0.614564i | ||||
\(391\) | −17.4384 | + | 10.0680i | −0.881895 | + | 0.509163i | ||||
\(392\) | −1.08952 | − | 3.61063i | −0.0550288 | − | 0.182364i | ||||
\(393\) | 4.56846 | + | 13.2305i | 0.230448 | + | 0.667393i | ||||
\(394\) | 15.7365i | 0.792793i | ||||||||
\(395\) | −2.86275 | + | 30.4710i | −0.144041 | + | 1.53316i | ||||
\(396\) | 4.16120 | + | 5.30712i | 0.209108 | + | 0.266693i | ||||
\(397\) | 4.26341 | + | 1.14238i | 0.213974 | + | 0.0573343i | 0.364214 | − | 0.931315i | \(-0.381338\pi\) |
−0.150239 | + | 0.988650i | \(0.548004\pi\) | |||||||
\(398\) | −29.0529 | + | 7.78470i | −1.45629 | + | 0.390212i | ||||
\(399\) | 8.20449 | + | 22.6088i | 0.410738 | + | 1.13186i | ||||
\(400\) | 16.7510 | + | 3.17554i | 0.837548 | + | 0.158777i | ||||
\(401\) | 1.21508 | − | 2.10457i | 0.0606780 | − | 0.105097i | −0.834091 | − | 0.551627i | \(-0.814007\pi\) |
0.894769 | + | 0.446530i | \(0.147340\pi\) | |||||||
\(402\) | −16.8109 | + | 19.3725i | −0.838450 | + | 0.966215i | ||||
\(403\) | 3.14579 | + | 0.842911i | 0.156703 | + | 0.0419884i | ||||
\(404\) | −19.3331 | − | 33.4860i | −0.961860 | − | 1.66599i | ||||
\(405\) | −19.7661 | + | 3.78177i | −0.982185 | + | 0.187918i | ||||
\(406\) | −2.89515 | − | 2.80603i | −0.143684 | − | 0.139261i | ||||
\(407\) | −7.66691 | + | 2.05434i | −0.380034 | + | 0.101830i | ||||
\(408\) | −1.05614 | − | 3.05865i | −0.0522868 | − | 0.151426i | ||||
\(409\) | −10.1813 | −0.503433 | −0.251716 | − | 0.967801i | \(-0.580995\pi\) | ||||
−0.251716 | + | 0.967801i | \(0.580995\pi\) | |||||||
\(410\) | 20.4282 | + | 7.58388i | 1.00888 | + | 0.374541i | ||||
\(411\) | −4.00207 | + | 2.70448i | −0.197408 | + | 0.133402i | ||||
\(412\) | −0.677394 | − | 2.52807i | −0.0333728 | − | 0.124549i | ||||
\(413\) | 27.2517 | − | 16.3070i | 1.34097 | − | 0.802414i | ||||
\(414\) | −33.3657 | − | 13.4134i | −1.63983 | − | 0.659235i | ||||
\(415\) | −2.56315 | + | 0.435035i | −0.125820 | + | 0.0213550i | ||||
\(416\) | 37.9785 | − | 21.9269i | 1.86205 | − | 1.07506i | ||||
\(417\) | 4.12782 | − | 21.3344i | 0.202140 | − | 1.04475i | ||||
\(418\) | −10.4046 | + | 2.78789i | −0.508904 | + | 0.136360i | ||||
\(419\) | 11.8415 | + | 20.5101i | 0.578494 | + | 1.00198i | 0.995652 | + | 0.0931475i | \(0.0296928\pi\) |
−0.417158 | + | 0.908834i | \(0.636974\pi\) | |||||||
\(420\) | −6.16106 | + | 22.3342i | −0.300629 | + | 1.08980i | ||||
\(421\) | −17.4577 | + | 30.2375i | −0.850834 | + | 1.47369i | 0.0296228 | + | 0.999561i | \(0.490569\pi\) |
−0.880457 | + | 0.474126i | \(0.842764\pi\) | |||||||
\(422\) | 4.25084 | − | 15.8643i | 0.206927 | − | 0.772264i | ||||
\(423\) | −5.20707 | − | 3.90969i | −0.253176 | − | 0.190096i | ||||
\(424\) | 1.84708 | + | 1.06641i | 0.0897020 | + | 0.0517895i | ||||
\(425\) | −1.28958 | − | 17.2896i | −0.0625540 | − | 0.838671i | ||||
\(426\) | 1.03054 | + | 14.5563i | 0.0499299 | + | 0.705253i | ||||
\(427\) | 0.475622 | + | 0.794844i | 0.0230170 | + | 0.0384652i | ||||
\(428\) | 13.1407 | + | 3.52105i | 0.635181 | + | 0.170196i | ||||
\(429\) | 8.36658 | + | 4.07169i | 0.403942 | + | 0.196583i | ||||
\(430\) | −26.1049 | + | 36.7777i | −1.25889 | + | 1.77358i | ||||
\(431\) | 2.99086 | − | 5.18032i | 0.144065 | − | 0.249527i | −0.784959 | − | 0.619548i | \(-0.787316\pi\) |
0.929024 | + | 0.370021i | \(0.120649\pi\) | |||||||
\(432\) | −9.61137 | + | 14.8847i | −0.462427 | + | 0.716141i | ||||
\(433\) | −1.54624 | − | 1.54624i | −0.0743073 | − | 0.0743073i | 0.668976 | − | 0.743284i | \(-0.266733\pi\) |
−0.743284 | + | 0.668976i | \(0.766733\pi\) | |||||||
\(434\) | −0.802184 | + | 3.19260i | −0.0385061 | + | 0.153250i | ||||
\(435\) | 0.676314 | + | 2.77805i | 0.0324268 | + | 0.133197i | ||||
\(436\) | 14.7889 | − | 25.6151i | 0.708258 | − | 1.22674i | ||||
\(437\) | 21.5512 | − | 21.5512i | 1.03093 | − | 1.03093i | ||||
\(438\) | 15.8333 | + | 45.8541i | 0.756542 | + | 2.19099i | ||||
\(439\) | −8.63293 | −0.412027 | −0.206014 | − | 0.978549i | \(-0.566049\pi\) | ||||
−0.206014 | + | 0.978549i | \(0.566049\pi\) | |||||||
\(440\) | −1.12292 | − | 0.416878i | −0.0535330 | − | 0.0198739i | ||||
\(441\) | 19.7198 | + | 7.22011i | 0.939038 | + | 0.343815i | ||||
\(442\) | −27.3472 | − | 27.3472i | −1.30078 | − | 1.30078i | ||||
\(443\) | −14.7455 | + | 14.7455i | −0.700582 | + | 0.700582i | −0.964535 | − | 0.263953i | \(-0.914973\pi\) |
0.263953 | + | 0.964535i | \(0.414973\pi\) | |||||||
\(444\) | 17.5051 | + | 25.9040i | 0.830756 | + | 1.22935i | ||||
\(445\) | −4.73629 | − | 10.3293i | −0.224522 | − | 0.489657i | ||||
\(446\) | 0.686161 | + | 0.396155i | 0.0324906 | + | 0.0187585i | ||||
\(447\) | −2.15149 | − | 6.23085i | −0.101762 | − | 0.294709i | ||||
\(448\) | 13.4957 | + | 22.5535i | 0.637611 | + | 1.06555i | ||||
\(449\) | − | 8.81056i | − | 0.415796i | −0.978151 | − | 0.207898i | \(-0.933338\pi\) | ||
0.978151 | − | 0.207898i | \(-0.0666622\pi\) | |||||||
\(450\) | 22.8778 | − | 20.8646i | 1.07847 | − | 0.983567i | ||||
\(451\) | 4.06491 | + | 2.34687i | 0.191409 | + | 0.110510i | ||||
\(452\) | 7.75078 | − | 28.9263i | 0.364566 | − | 1.36058i | ||||
\(453\) | 3.72474 | − | 19.2511i | 0.175004 | − | 0.904497i | ||||
\(454\) | −15.7642 | − | 27.3044i | −0.739850 | − | 1.28146i | ||||
\(455\) | 5.84092 | + | 31.4276i | 0.273827 | + | 1.47335i | ||||
\(456\) | 2.74232 | + | 4.05808i | 0.128421 | + | 0.190037i | ||||
\(457\) | −5.60423 | − | 5.60423i | −0.262155 | − | 0.262155i | 0.563774 | − | 0.825929i | \(-0.309349\pi\) |
−0.825929 | + | 0.563774i | \(0.809349\pi\) | |||||||
\(458\) | −44.1638 | + | 11.8337i | −2.06364 | + | 0.552951i | ||||
\(459\) | 17.1504 | + | 5.52328i | 0.800512 | + | 0.257805i | ||||
\(460\) | 28.9450 | − | 4.91274i | 1.34957 | − | 0.229057i | ||||
\(461\) | 9.06065 | + | 5.23117i | 0.421997 | + | 0.243640i | 0.695931 | − | 0.718109i | \(-0.254992\pi\) |
−0.273935 | + | 0.961748i | \(0.588325\pi\) | |||||||
\(462\) | −3.98286 | + | 8.52001i | −0.185299 | + | 0.396387i | ||||
\(463\) | −30.1659 | − | 8.08294i | −1.40193 | − | 0.375646i | −0.522892 | − | 0.852399i | \(-0.675147\pi\) |
−0.879037 | + | 0.476753i | \(0.841814\pi\) | |||||||
\(464\) | 2.18004 | + | 1.25865i | 0.101206 | + | 0.0584313i | ||||
\(465\) | 1.68820 | − | 1.61229i | 0.0782886 | − | 0.0747683i | ||||
\(466\) | −27.8639 | − | 48.2617i | −1.29077 | − | 2.23568i | ||||
\(467\) | 28.7019 | + | 7.69065i | 1.32817 | + | 0.355881i | 0.852031 | − | 0.523492i | \(-0.175371\pi\) |
0.476134 | + | 0.879373i | \(0.342038\pi\) | |||||||
\(468\) | 4.40351 | − | 36.3846i | 0.203552 | − | 1.68188i | ||||
\(469\) | −18.4085 | − | 4.62538i | −0.850026 | − | 0.213580i | ||||
\(470\) | 9.97449 | + | 0.937104i | 0.460089 | + | 0.0432254i | ||||
\(471\) | −17.6288 | + | 1.24806i | −0.812290 | + | 0.0575078i | ||||
\(472\) | 4.57296 | − | 4.57296i | 0.210487 | − | 0.210487i | ||||
\(473\) | −6.86940 | + | 6.86940i | −0.315856 | + | 0.315856i | ||||
\(474\) | 48.8136 | − | 3.45586i | 2.24208 | − | 0.158733i | ||||
\(475\) | 8.65859 | + | 24.7727i | 0.397283 | + | 1.13665i | ||||
\(476\) | 14.4365 | − | 14.8950i | 0.661694 | − | 0.682711i | ||||
\(477\) | −10.9238 | + | 4.65922i | −0.500167 | + | 0.213331i | ||||
\(478\) | 6.90284 | + | 1.84961i | 0.315729 | + | 0.0845992i | ||||
\(479\) | 10.0921 | + | 17.4800i | 0.461119 | + | 0.798682i | 0.999017 | − | 0.0443280i | \(-0.0141147\pi\) |
−0.537898 | + | 0.843010i | \(0.680781\pi\) | |||||||
\(480\) | 0.722794 | − | 31.4258i | 0.0329909 | − | 1.43439i | ||||
\(481\) | 37.3565 | + | 21.5678i | 1.70331 | + | 0.983406i | ||||
\(482\) | 42.3058 | + | 11.3358i | 1.92698 | + | 0.516332i | ||||
\(483\) | −2.29399 | − | 26.5121i | −0.104380 | − | 1.20634i | ||||
\(484\) | 19.6034 | + | 11.3180i | 0.891062 | + | 0.514455i | ||||
\(485\) | −0.125772 | − | 0.741026i | −0.00571100 | − | 0.0336483i | ||||
\(486\) | 11.1364 | + | 30.1895i | 0.505155 | + | 1.36942i | ||||
\(487\) | −2.37588 | + | 0.636616i | −0.107661 | + | 0.0288478i | −0.312248 | − | 0.950001i | \(-0.601082\pi\) |
0.204586 | + | 0.978849i | \(0.434415\pi\) | |||||||
\(488\) | 0.133379 | + | 0.133379i | 0.00603776 | + | 0.00603776i | ||||
\(489\) | 8.12495 | + | 12.0233i | 0.367423 | + | 0.543711i | ||||
\(490\) | −31.6700 | + | 6.39967i | −1.43071 | + | 0.289108i | ||||
\(491\) | −8.95402 | − | 15.5088i | −0.404089 | − | 0.699903i | 0.590126 | − | 0.807311i | \(-0.299078\pi\) |
−0.994215 | + | 0.107408i | \(0.965745\pi\) | |||||||
\(492\) | 3.51196 | − | 18.1514i | 0.158331 | − | 0.818327i | ||||
\(493\) | 0.662544 | − | 2.47265i | 0.0298395 | − | 0.111362i | ||||
\(494\) | 50.6956 | + | 29.2691i | 2.28090 | + | 1.31688i | ||||
\(495\) | 5.61051 | − | 3.60632i | 0.252174 | − | 0.162092i | ||||
\(496\) | − | 2.05528i | − | 0.0922847i | ||||||
\(497\) | −9.26633 | + | 5.54483i | −0.415652 | + | 0.248720i | ||||
\(498\) | 1.35677 | + | 3.92929i | 0.0607983 | + | 0.176076i | ||||
\(499\) | −4.66744 | − | 2.69475i | −0.208943 | − | 0.120634i | 0.391877 | − | 0.920018i | \(-0.371826\pi\) |
−0.600820 | + | 0.799384i | \(0.705159\pi\) | |||||||
\(500\) | −7.01085 | + | 24.2872i | −0.313535 | + | 1.08616i | ||||
\(501\) | −1.98141 | − | 2.93208i | −0.0885228 | − | 0.130996i | ||||
\(502\) | 19.3805 | − | 19.3805i | 0.864995 | − | 0.864995i | ||||
\(503\) | −10.3036 | − | 10.3036i | −0.459414 | − | 0.459414i | 0.439049 | − | 0.898463i | \(-0.355315\pi\) |
−0.898463 | + | 0.439049i | \(0.855315\pi\) | |||||||
\(504\) | 4.25293 | + | 0.447385i | 0.189441 | + | 0.0199281i | ||||
\(505\) | −34.7599 | + | 15.9384i | −1.54679 | + | 0.709249i | ||||
\(506\) | 11.9180 | 0.529819 | ||||||||
\(507\) | −9.15514 | − | 26.5138i | −0.406594 | − | 1.17752i | ||||
\(508\) | −12.3972 | + | 12.3972i | −0.550038 | + | 0.550038i | ||||
\(509\) | 11.1734 | − | 19.3529i | 0.495251 | − | 0.857800i | −0.504734 | − | 0.863275i | \(-0.668409\pi\) |
0.999985 | + | 0.00547464i | \(0.00174264\pi\) | |||||||
\(510\) | −26.9352 | + | 6.55734i | −1.19271 | + | 0.290364i | ||||
\(511\) | −24.9838 | + | 25.7774i | −1.10522 | + | 1.14032i | ||||
\(512\) | −22.1675 | − | 22.1675i | −0.979676 | − | 0.979676i | ||||
\(513\) | −27.2380 | − | 1.35654i | −1.20259 | − | 0.0598925i | ||||
\(514\) | 17.7876 | − | 30.8091i | 0.784579 | − | 1.35893i | ||||
\(515\) | −2.55189 | + | 0.433123i | −0.112450 | + | 0.0190857i | ||||
\(516\) | 34.4071 | + | 16.7446i | 1.51469 | + | 0.737139i | ||||
\(517\) | 2.08446 | + | 0.558530i | 0.0916745 | + | 0.0245641i | ||||
\(518\) | −21.2072 | + | 38.0951i | −0.931793 | + | 1.67380i | ||||
\(519\) | 0.0260495 | + | 0.367946i | 0.00114345 | + | 0.0161510i | ||||
\(520\) | 2.71315 | + | 5.91708i | 0.118979 | + | 0.259481i | ||||
\(521\) | −6.54539 | − | 3.77898i | −0.286759 | − | 0.165560i | 0.349720 | − | 0.936854i | \(-0.386277\pi\) |
−0.636479 | + | 0.771294i | \(0.719610\pi\) | |||||||
\(522\) | 4.20515 | − | 1.79358i | 0.184054 | − | 0.0785029i | ||||
\(523\) | 8.18602 | − | 30.5506i | 0.357949 | − | 1.33589i | −0.518782 | − | 0.854906i | \(-0.673615\pi\) |
0.876732 | − | 0.480979i | \(-0.159719\pi\) | |||||||
\(524\) | −9.13584 | + | 15.8237i | −0.399101 | + | 0.691263i | ||||
\(525\) | 21.4211 | + | 8.13245i | 0.934893 | + | 0.354929i | ||||
\(526\) | −4.36663 | − | 7.56323i | −0.190394 | − | 0.329772i | ||||
\(527\) | −2.01882 | + | 0.540942i | −0.0879413 | + | 0.0235638i | ||||
\(528\) | 1.11545 | − | 5.76513i | 0.0485437 | − | 0.250895i | ||||
\(529\) | −9.28516 | + | 5.36079i | −0.403703 | + | 0.233078i | ||||
\(530\) | 10.5761 | − | 14.9001i | 0.459398 | − | 0.647220i | ||||
\(531\) | 5.07341 | + | 35.6510i | 0.220167 | + | 1.54712i | ||||
\(532\) | −15.2714 | + | 27.4323i | −0.662097 | + | 1.18934i | ||||
\(533\) | −6.60200 | − | 24.6390i | −0.285964 | − | 1.06723i | ||||
\(534\) | −15.0543 | + | 10.1732i | −0.651464 | + | 0.440239i | ||||
\(535\) | 4.68255 | − | 12.6131i | 0.202444 | − | 0.545312i | ||||
\(536\) | −3.86519 | −0.166951 | ||||||||
\(537\) | 12.6447 | + | 36.6197i | 0.545657 | + | 1.58026i | ||||
\(538\) | 51.9991 | − | 13.9331i | 2.24184 | − | 0.600699i | ||||
\(539\) | −6.95630 | + | 0.217554i | −0.299629 | + | 0.00937072i | ||||
\(540\) | −20.6397 | − | 16.2525i | −0.888190 | − | 0.699397i | ||||
\(541\) | −14.0387 | − | 24.3157i | −0.603571 | − | 1.04542i | −0.992276 | − | 0.124053i | \(-0.960411\pi\) |
0.388705 | − | 0.921362i | \(-0.372923\pi\) | |||||||
\(542\) | −42.3406 | − | 11.3451i | −1.81869 | − | 0.487315i | ||||
\(543\) | 9.48433 | − | 10.9296i | 0.407012 | − | 0.469033i | ||||
\(544\) | −14.0717 | + | 24.3729i | −0.603319 | + | 1.04498i | ||||
\(545\) | −23.8534 | − | 16.9312i | −1.02177 | − | 0.725252i | ||||
\(546\) | 48.0456 | − | 17.4352i | 2.05616 | − | 0.746159i | ||||
\(547\) | −9.02839 | + | 2.41915i | −0.386026 | + | 0.103435i | −0.446612 | − | 0.894728i | \(-0.647370\pi\) |
0.0605861 | + | 0.998163i | \(0.480703\pi\) | |||||||
\(548\) | −6.09046 | − | 1.63193i | −0.260171 | − | 0.0697127i | ||||
\(549\) | −1.03983 | + | 0.147975i | −0.0443787 | + | 0.00631542i | ||||
\(550\) | −4.45562 | + | 9.24389i | −0.189988 | + | 0.394161i | ||||
\(551\) | 3.87462i | 0.165064i | ||||||||
\(552\) | −1.76870 | − | 5.12227i | −0.0752810 | − | 0.218018i | ||||
\(553\) | 18.5943 | + | 31.0741i | 0.790708 | + | 1.32141i | ||||
\(554\) | 10.3342 | − | 5.96643i | 0.439056 | − | 0.253489i | ||||
\(555\) | 27.1253 | − | 14.8399i | 1.15140 | − | 0.629917i | ||||
\(556\) | 24.5659 | − | 14.1831i | 1.04183 | − | 0.601499i | ||||
\(557\) | −6.04785 | + | 1.62052i | −0.256256 | + | 0.0686635i | −0.384660 | − | 0.923058i | \(-0.625681\pi\) |
0.128404 | + | 0.991722i | \(0.459015\pi\) | |||||||
\(558\) | −2.98487 | − | 2.24117i | −0.126360 | − | 0.0948762i | ||||
\(559\) | 52.7951 | 2.23299 | ||||||||
\(560\) | 18.2035 | − | 8.69375i | 0.769240 | − | 0.367378i | ||||
\(561\) | −5.95646 | + | 0.421700i | −0.251482 | + | 0.0178042i | ||||
\(562\) | −1.59401 | + | 0.427114i | −0.0672394 | + | 0.0180167i | ||||
\(563\) | 28.3389 | + | 28.3389i | 1.19434 | + | 1.19434i | 0.975836 | + | 0.218506i | \(0.0701184\pi\) |
0.218506 | + | 0.975836i | \(0.429882\pi\) | |||||||
\(564\) | −0.600275 | − | 8.47880i | −0.0252761 | − | 0.357022i | ||||
\(565\) | −27.7648 | − | 10.3075i | −1.16807 | − | 0.433642i | ||||
\(566\) | − | 19.1497i | − | 0.804920i | ||||||
\(567\) | −16.2110 | + | 17.4415i | −0.680796 | + | 0.732473i | ||||
\(568\) | −1.55493 | + | 1.55493i | −0.0652436 | + | 0.0652436i | ||||
\(569\) | 3.75120i | 0.157258i | 0.996904 | + | 0.0786292i | \(0.0250543\pi\) | ||||
−0.996904 | + | 0.0786292i | \(0.974946\pi\) | |||||||
\(570\) | 36.8110 | − | 20.1388i | 1.54185 | − | 0.843521i | ||||
\(571\) | −28.4993 | −1.19266 | −0.596329 | − | 0.802740i | \(-0.703375\pi\) | ||||
−0.596329 | + | 0.802740i | \(0.703375\pi\) | |||||||
\(572\) | 3.14371 | + | 11.7325i | 0.131445 | + | 0.490560i | ||||
\(573\) | −11.4904 | − | 9.97096i | −0.480017 | − | 0.416543i | ||||
\(574\) | 24.7971 | − | 7.06159i | 1.03501 | − | 0.294745i | ||||
\(575\) | −2.15965 | − | 28.9547i | −0.0900635 | − | 1.20749i | ||||
\(576\) | −29.5048 | + | 4.19875i | −1.22937 | + | 0.174948i | ||||
\(577\) | 8.37286 | + | 31.2479i | 0.348567 | + | 1.30087i | 0.888390 | + | 0.459090i | \(0.151824\pi\) |
−0.539823 | + | 0.841778i | \(0.681509\pi\) | |||||||
\(578\) | −9.92197 | − | 2.65858i | −0.412699 | − | 0.110582i | ||||
\(579\) | −31.7150 | + | 2.24533i | −1.31803 | + | 0.0933126i | ||||
\(580\) | −2.16035 | + | 3.04360i | −0.0897036 | + | 0.126378i | ||||
\(581\) | −2.14089 | + | 2.20889i | −0.0888191 | + | 0.0916403i | ||||
\(582\) | −1.13598 | + | 0.392252i | −0.0470881 | + | 0.0162594i | ||||
\(583\) | 2.78307 | − | 2.78307i | 0.115263 | − | 0.115263i | ||||
\(584\) | −3.65509 | + | 6.33081i | −0.151249 | + | 0.261971i | ||||
\(585\) | −35.4181 | − | 7.70165i | −1.46436 | − | 0.318424i | ||||
\(586\) | −39.6633 | + | 22.8996i | −1.63847 | + | 0.945974i | ||||
\(587\) | 0.726346 | + | 2.71076i | 0.0299795 | + | 0.111885i | 0.979294 | − | 0.202442i | \(-0.0648878\pi\) |
−0.949315 | + | 0.314327i | \(0.898221\pi\) | |||||||
\(588\) | 9.75294 | + | 25.6197i | 0.402204 | + | 1.05654i | ||||
\(589\) | 2.73966 | − | 1.58174i | 0.112886 | − | 0.0651745i | ||||
\(590\) | −35.3406 | − | 42.6697i | −1.45495 | − | 1.75668i | ||||
\(591\) | −0.932486 | − | 13.1712i | −0.0383573 | − | 0.541793i | ||||
\(592\) | 7.04558 | − | 26.2945i | 0.289572 | − | 1.08070i | ||||
\(593\) | −10.9233 | + | 40.7663i | −0.448566 | + | 1.67407i | 0.257779 | + | 0.966204i | \(0.417009\pi\) |
−0.706345 | + | 0.707867i | \(0.749657\pi\) | |||||||
\(594\) | −7.15634 | − | 7.90652i | −0.293628 | − | 0.324408i | ||||
\(595\) | −13.3307 | − | 15.5925i | −0.546504 | − | 0.639231i | ||||
\(596\) | 4.30247 | − | 7.45210i | 0.176236 | − | 0.305250i | ||||
\(597\) | 23.8556 | − | 8.23726i | 0.976345 | − | 0.337129i | ||||
\(598\) | −45.7980 | − | 45.7980i | −1.87282 | − | 1.87282i | ||||
\(599\) | − | 7.33956i | − | 0.299886i | −0.988695 | − | 0.149943i | \(-0.952091\pi\) | ||
0.988695 | − | 0.149943i | \(-0.0479091\pi\) | |||||||
\(600\) | 4.63421 | + | 0.543145i | 0.189191 | + | 0.0221738i | ||||
\(601\) | 4.01027 | + | 2.31533i | 0.163582 | + | 0.0944442i | 0.579556 | − | 0.814932i | \(-0.303226\pi\) |
−0.415974 | + | 0.909377i | \(0.636559\pi\) | |||||||
\(602\) | 0.834155 | + | 53.3573i | 0.0339976 | + | 2.17468i | ||||
\(603\) | 12.9225 | − | 17.2107i | 0.526246 | − | 0.700875i | ||||
\(604\) | 22.1671 | − | 12.7982i | 0.901965 | − | 0.520750i | ||||
\(605\) | 12.9575 | − | 18.2552i | 0.526799 | − | 0.742178i | ||||
\(606\) | 34.2347 | + | 50.6603i | 1.39069 | + | 2.05793i | ||||
\(607\) | −5.30952 | − | 19.8154i | −0.215507 | − | 0.804282i | −0.985988 | − | 0.166819i | \(-0.946651\pi\) |
0.770481 | − | 0.637463i | \(-0.220016\pi\) | |||||||
\(608\) | 11.0251 | − | 41.1463i | 0.447128 | − | 1.66870i | ||||
\(609\) | 2.58948 | + | 2.17705i | 0.104931 | + | 0.0882186i | ||||
\(610\) | 1.24454 | − | 1.03077i | 0.0503899 | − | 0.0417348i | ||||
\(611\) | −5.86380 | − | 10.1564i | −0.237224 | − | 0.410884i | ||||
\(612\) | 9.22762 | + | 21.6347i | 0.373004 | + | 0.874529i | ||||
\(613\) | 1.59467 | + | 5.95139i | 0.0644081 | + | 0.240374i | 0.990623 | − | 0.136621i | \(-0.0436241\pi\) |
−0.926215 | + | 0.376995i | \(0.876957\pi\) | |||||||
\(614\) | −62.6795 | −2.52954 | ||||||||
\(615\) | −17.5476 | − | 5.13711i | −0.707587 | − | 0.207148i | ||||
\(616\) | −1.36307 | + | 0.388168i | −0.0549195 | + | 0.0156397i | ||||
\(617\) | 3.23139 | − | 12.0597i | 0.130091 | − | 0.485505i | −0.869879 | − | 0.493265i | \(-0.835803\pi\) |
0.999970 | + | 0.00775972i | \(0.00247002\pi\) | |||||||
\(618\) | 1.35081 | + | 3.91201i | 0.0543374 | + | 0.157364i | ||||
\(619\) | −0.506413 | − | 0.877133i | −0.0203545 | − | 0.0352550i | 0.855669 | − | 0.517524i | \(-0.173146\pi\) |
−0.876023 | + | 0.482269i | \(0.839813\pi\) | |||||||
\(620\) | 3.03398 | + | 0.285042i | 0.121847 | + | 0.0114476i | ||||
\(621\) | 28.7215 | + | 9.24976i | 1.15255 | + | 0.371180i | ||||
\(622\) | −13.0926 | + | 13.0926i | −0.524964 | + | 0.524964i | ||||
\(623\) | −11.7477 | − | 6.53985i | −0.470662 | − | 0.262014i | ||||
\(624\) | −26.4405 | + | 17.8677i | −1.05847 | + | 0.715279i | ||||
\(625\) | 23.2654 | + | 9.14984i | 0.930617 | + | 0.365994i | ||||
\(626\) | − | 31.2908i | − | 1.25063i | ||||||
\(627\) | 8.54329 | − | 2.94997i | 0.341186 | − | 0.117810i | ||||
\(628\) | −16.3130 | − | 16.3130i | −0.650959 | − | 0.650959i | ||||
\(629\) | −27.6825 | −1.10377 | ||||||||
\(630\) | 7.22407 | − | 35.9170i | 0.287814 | − | 1.43097i | ||||
\(631\) | 10.4513 | 0.416061 | 0.208030 | − | 0.978122i | \(-0.433295\pi\) | ||||
0.208030 | + | 0.978122i | \(0.433295\pi\) | |||||||
\(632\) | 5.21438 | + | 5.21438i | 0.207417 | + | 0.207417i | ||||
\(633\) | −2.61783 | + | 13.5301i | −0.104050 | + | 0.537775i | ||||
\(634\) | 5.97198i | 0.237178i | ||||||||
\(635\) | 11.0599 | + | 13.3536i | 0.438899 | + | 0.529920i | ||||
\(636\) | −13.9397 | − | 6.78389i | −0.552744 | − | 0.268999i | ||||
\(637\) | 27.5675 | + | 25.8954i | 1.09226 | + | 1.02601i | ||||
\(638\) | −1.07135 | + | 1.07135i | −0.0424151 | + | 0.0424151i | ||||
\(639\) | −1.72510 | − | 12.1223i | −0.0682439 | − | 0.479552i | ||||
\(640\) | 7.35941 | − | 6.09534i | 0.290906 | − | 0.240939i | ||||
\(641\) | 13.3725 | + | 23.1618i | 0.528182 | + | 0.914837i | 0.999460 | + | 0.0328529i | \(0.0104593\pi\) |
−0.471279 | + | 0.881984i | \(0.656207\pi\) | |||||||
\(642\) | −21.1208 | − | 4.08649i | −0.833571 | − | 0.161281i | ||||
\(643\) | −4.12177 | + | 15.3827i | −0.162547 | + | 0.606633i | 0.835794 | + | 0.549044i | \(0.185008\pi\) |
−0.998340 | + | 0.0575890i | \(0.981659\pi\) | |||||||
\(644\) | 24.1765 | − | 24.9444i | 0.952688 | − | 0.982949i | ||||
\(645\) | 19.6702 | − | 32.3294i | 0.774512 | − | 1.27297i | ||||
\(646\) | −37.5672 | −1.47806 | ||||||||
\(647\) | −4.18222 | − | 15.6083i | −0.164420 | − | 0.613624i | −0.998113 | − | 0.0613963i | \(-0.980445\pi\) |
0.833693 | − | 0.552228i | \(-0.186222\pi\) | |||||||
\(648\) | −2.33613 | + | 4.24913i | −0.0917718 | + | 0.166922i | ||||
\(649\) | −5.96715 | − | 10.3354i | −0.234231 | − | 0.405700i | ||||
\(650\) | 52.6441 | − | 18.4002i | 2.06487 | − | 0.721717i | ||||
\(651\) | 0.482236 | − | 2.71970i | 0.0189003 | − | 0.106594i | ||||
\(652\) | −4.90275 | + | 18.2973i | −0.192006 | + | 0.716578i | ||||
\(653\) | −7.79653 | − | 29.0971i | −0.305102 | − | 1.13866i | −0.932858 | − | 0.360245i | \(-0.882693\pi\) |
0.627756 | − | 0.778410i | \(-0.283974\pi\) | |||||||
\(654\) | −20.4668 | + | 42.0555i | −0.800315 | + | 1.64450i | ||||
\(655\) | 14.7355 | + | 10.4593i | 0.575762 | + | 0.408677i | ||||
\(656\) | −13.9410 | + | 8.04886i | −0.544306 | + | 0.314255i | ||||
\(657\) | −15.9694 | − | 37.4410i | −0.623024 | − | 1.46071i | ||||
\(658\) | 10.1719 | − | 6.08672i | 0.396543 | − | 0.237285i | ||||
\(659\) | 26.9620 | + | 15.5665i | 1.05029 | + | 0.606386i | 0.922731 | − | 0.385445i | \(-0.125952\pi\) |
0.127560 | + | 0.991831i | \(0.459285\pi\) | |||||||
\(660\) | 8.35572 | + | 2.44617i | 0.325246 | + | 0.0952169i | ||||
\(661\) | 6.05906i | 0.235670i | 0.993033 | + | 0.117835i | \(0.0375954\pi\) | ||||
−0.993033 | + | 0.117835i | \(0.962405\pi\) | |||||||
\(662\) | −44.8979 | − | 44.8979i | −1.74501 | − | 1.74501i | ||||
\(663\) | 24.5098 | + | 21.2688i | 0.951882 | + | 0.826012i | ||||
\(664\) | −0.313209 | + | 0.542494i | −0.0121549 | + | 0.0210529i | ||||
\(665\) | 25.5981 | + | 17.5744i | 0.992651 | + | 0.681504i | ||||
\(666\) | −30.5045 | − | 38.9049i | −1.18203 | − | 1.50754i | ||||
\(667\) | 1.10955 | − | 4.14091i | 0.0429621 | − | 0.160337i | ||||
\(668\) | 1.19562 | − | 4.46211i | 0.0462599 | − | 0.172644i | ||||
\(669\) | −0.597782 | − | 0.290917i | −0.0231116 | − | 0.0112475i | ||||
\(670\) | −3.09737 | + | 32.9683i | −0.119662 | + | 1.27368i | ||||
\(671\) | 0.301451 | − | 0.174043i | 0.0116374 | − | 0.00671884i | ||||
\(672\) | −21.3041 | − | 30.4874i | −0.821825 | − | 1.17608i | ||||
\(673\) | 8.52080 | + | 31.8000i | 0.328453 | + | 1.22580i | 0.910795 | + | 0.412858i | \(0.135469\pi\) |
−0.582343 | + | 0.812943i | \(0.697864\pi\) | |||||||
\(674\) | 44.4229 | − | 25.6476i | 1.71111 | − | 0.987908i | ||||
\(675\) | −17.9121 | + | 18.8191i | −0.689437 | + | 0.724346i | ||||
\(676\) | 18.3081 | − | 31.7106i | 0.704158 | − | 1.21964i | ||||
\(677\) | 10.5232 | − | 10.5232i | 0.404439 | − | 0.404439i | −0.475355 | − | 0.879794i | \(-0.657681\pi\) |
0.879794 | + | 0.475355i | \(0.157681\pi\) | |||||||
\(678\) | −8.99546 | + | 46.4926i | −0.345469 | + | 1.78554i | ||||
\(679\) | −0.638606 | − | 0.618947i | −0.0245075 | − | 0.0237530i | ||||
\(680\) | −3.40656 | − | 2.41798i | −0.130636 | − | 0.0927254i | ||||
\(681\) | 14.8124 | + | 21.9193i | 0.567611 | + | 0.839949i | ||||
\(682\) | 1.19488 | + | 0.320168i | 0.0457545 | + | 0.0122599i | ||||
\(683\) | 5.00374 | + | 18.6742i | 0.191463 | + | 0.714549i | 0.993154 | + | 0.116811i | \(0.0372670\pi\) |
−0.801691 | + | 0.597738i | \(0.796066\pi\) | |||||||
\(684\) | −21.9663 | − | 28.0155i | −0.839904 | − | 1.07120i | ||||
\(685\) | −2.17026 | + | 5.84591i | −0.0829215 | + | 0.223361i | ||||
\(686\) | −25.7356 | + | 28.2702i | −0.982591 | + | 1.07936i | ||||
\(687\) | 36.2633 | − | 12.5216i | 1.38353 | − | 0.477729i | ||||
\(688\) | −8.62332 | − | 32.1827i | −0.328761 | − | 1.22695i | ||||
\(689\) | −21.3894 | −0.814871 | ||||||||
\(690\) | −45.1079 | + | 10.9815i | −1.71723 | + | 0.418058i | ||||
\(691\) | − | 14.1475i | − | 0.538196i | −0.963113 | − | 0.269098i | \(-0.913274\pi\) | ||
0.963113 | − | 0.269098i | \(-0.0867255\pi\) | |||||||
\(692\) | −0.340484 | + | 0.340484i | −0.0129432 | + | 0.0129432i | ||||
\(693\) | 2.82874 | − | 7.36715i | 0.107455 | − | 0.279855i | ||||
\(694\) | 51.6799i | 1.96174i | ||||||||
\(695\) | −11.6927 | − | 25.5004i | −0.443529 | − | 0.967287i | ||||
\(696\) | 0.619455 | + | 0.301465i | 0.0234804 | + | 0.0114270i | ||||
\(697\) | 11.5753 | + | 11.5753i | 0.438447 | + | 0.438447i | ||||
\(698\) | −45.4560 | + | 12.1799i | −1.72054 | + | 0.461016i | ||||
\(699\) | 26.1816 | + | 38.7433i | 0.990278 | + | 1.46541i | ||||
\(700\) | 10.3090 | + | 28.0776i | 0.389644 | + | 1.06123i | ||||
\(701\) | 50.0928 | 1.89198 | 0.945990 | − | 0.324197i | \(-0.105094\pi\) | ||||
0.945990 | + | 0.324197i | \(0.105094\pi\) | |||||||
\(702\) | −2.88275 | + | 57.8831i | −0.108803 | + | 2.18466i | ||||
\(703\) | 40.4724 | − | 10.8446i | 1.52645 | − | 0.409010i | ||||
\(704\) | 8.55359 | − | 4.93842i | 0.322375 | − | 0.186124i | ||||
\(705\) | −8.40405 | − | 0.193293i | −0.316515 | − | 0.00727984i | ||||
\(706\) | −39.7135 | + | 22.9286i | −1.49464 | + | 0.862929i | ||||
\(707\) | −22.0077 | + | 39.5330i | −0.827685 | + | 1.48679i | ||||
\(708\) | −30.8089 | + | 35.5037i | −1.15787 | + | 1.33431i | ||||
\(709\) | 12.7148i | 0.477514i | 0.971079 | + | 0.238757i | \(0.0767400\pi\) | ||||
−0.971079 | + | 0.238757i | \(0.923260\pi\) | |||||||
\(710\) | 12.0168 | + | 14.5089i | 0.450983 | + | 0.544509i | ||||
\(711\) | −40.6516 | + | 5.78502i | −1.52455 | + | 0.216955i | ||||
\(712\) | −2.64469 | − | 0.708644i | −0.0991141 | − | 0.0265575i | ||||
\(713\) | −3.38089 | + | 0.905908i | −0.126615 | + | 0.0339265i | ||||
\(714\) | −21.1080 | + | 25.1068i | −0.789949 | + | 0.939600i | ||||
\(715\) | 11.8430 | − | 2.01007i | 0.442904 | − | 0.0751724i | ||||
\(716\) | −25.2863 | + | 43.7972i | −0.944994 | + | 1.63678i | ||||
\(717\) | −5.88719 | − | 1.13906i | −0.219861 | − | 0.0425391i | ||||
\(718\) | 15.7755 | + | 4.22704i | 0.588737 | + | 0.157752i | ||||
\(719\) | −1.42414 | − | 2.46669i | −0.0531116 | − | 0.0919919i | 0.838247 | − | 0.545290i | \(-0.183581\pi\) |
−0.891359 | + | 0.453298i | \(0.850247\pi\) | |||||||
\(720\) | 1.09029 | + | 22.8480i | 0.0406329 | + | 0.851497i | ||||
\(721\) | −2.13148 | + | 2.19918i | −0.0793805 | + | 0.0819018i | ||||
\(722\) | 17.0403 | − | 4.56594i | 0.634175 | − | 0.169927i | ||||
\(723\) | −36.0812 | − | 6.98105i | −1.34187 | − | 0.259628i | ||||
\(724\) | 18.8903 | 0.702051 | ||||||||
\(725\) | 2.79698 | + | 2.40871i | 0.103877 | + | 0.0894571i | ||||
\(726\) | −32.1854 | − | 15.6634i | −1.19451 | − | 0.581322i | ||||
\(727\) | 7.87038 | + | 29.3727i | 0.291896 | + | 1.08937i | 0.943651 | + | 0.330942i | \(0.107366\pi\) |
−0.651755 | + | 0.758430i | \(0.725967\pi\) | |||||||
\(728\) | 6.72959 | + | 3.74631i | 0.249415 | + | 0.138847i | ||||
\(729\) | −11.1099 | − | 24.6083i | −0.411478 | − | 0.911420i | ||||
\(730\) | 51.0698 | + | 36.2494i | 1.89018 | + | 1.34165i | ||||
\(731\) | −29.3422 | + | 16.9407i | −1.08526 | + | 0.626576i | ||||
\(732\) | −1.03553 | − | 0.898598i | −0.0382742 | − | 0.0332131i | ||||
\(733\) | −0.375382 | + | 0.100583i | −0.0138651 | + | 0.00371513i | −0.265745 | − | 0.964043i | \(-0.585618\pi\) |
0.251880 | + | 0.967759i | \(0.418951\pi\) | |||||||
\(734\) | −19.5222 | − | 33.8135i | −0.720579 | − | 1.24808i | ||||
\(735\) | 26.1282 | − | 7.23309i | 0.963753 | − | 0.266797i | ||||
\(736\) | −23.5657 | + | 40.8169i | −0.868642 | + | 1.50453i | ||||
\(737\) | −1.84609 | + | 6.88969i | −0.0680015 | + | 0.253785i | ||||
\(738\) | −3.51260 | + | 29.0233i | −0.129301 | + | 1.06836i | ||||
\(739\) | −6.50284 | − | 3.75441i | −0.239211 | − | 0.138108i | 0.375603 | − | 0.926781i | \(-0.377436\pi\) |
−0.614814 | + | 0.788672i | \(0.710769\pi\) | |||||||
\(740\) | 37.8385 | + | 14.0473i | 1.39097 | + | 0.516390i | ||||
\(741\) | −44.1659 | − | 21.4938i | −1.62248 | − | 0.789596i | ||||
\(742\) | −0.337949 | − | 21.6172i | −0.0124065 | − | 0.793591i | ||||
\(743\) | 45.7588 | + | 12.2610i | 1.67873 | + | 0.449813i | 0.967442 | − | 0.253092i | \(-0.0814475\pi\) |
0.711284 | + | 0.702905i | \(0.248114\pi\) | |||||||
\(744\) | −0.0397221 | − | 0.561069i | −0.00145628 | − | 0.0205698i | ||||
\(745\) | −6.93959 | − | 4.92573i | −0.254247 | − | 0.180465i | ||||
\(746\) | 6.05628 | − | 10.4898i | 0.221736 | − | 0.384059i | ||||
\(747\) | −1.36843 | − | 3.20837i | −0.0500684 | − | 0.117388i | ||||
\(748\) | −5.51189 | − | 5.51189i | −0.201534 | − | 0.201534i | ||||
\(749\) | −4.36007 | − | 15.3105i | −0.159313 | − | 0.559435i | ||||
\(750\) | 8.34640 | − | 39.0924i | 0.304767 | − | 1.42745i | ||||
\(751\) | 19.4574 | − | 33.7013i | 0.710012 | − | 1.22978i | −0.254840 | − | 0.966983i | \(-0.582023\pi\) |
0.964852 | − | 0.262794i | \(-0.0846440\pi\) | |||||||
\(752\) | −5.23335 | + | 5.23335i | −0.190841 | + | 0.190841i | ||||
\(753\) | −15.0728 | + | 17.3697i | −0.549285 | + | 0.632986i | ||||
\(754\) | 8.23390 | 0.299861 | ||||||||
\(755\) | −10.5509 | − | 23.0104i | −0.383987 | − | 0.837433i | ||||
\(756\) | −31.0656 | − | 1.06068i | −1.12985 | − | 0.0385764i | ||||
\(757\) | 13.6696 | + | 13.6696i | 0.496829 | + | 0.496829i | 0.910449 | − | 0.413621i | \(-0.135736\pi\) |
−0.413621 | + | 0.910449i | \(0.635736\pi\) | |||||||
\(758\) | 0.886582 | − | 0.886582i | 0.0322021 | − | 0.0322021i | ||||
\(759\) | −9.97519 | + | 0.706215i | −0.362077 | + | 0.0256340i | ||||
\(760\) | 5.92771 | + | 2.20063i | 0.215021 | + | 0.0798254i | ||||
\(761\) | −42.8328 | − | 24.7295i | −1.55269 | − | 0.896444i | −0.997922 | − | 0.0644365i | \(-0.979475\pi\) |
−0.554765 | − | 0.832007i | \(-0.687192\pi\) | |||||||
\(762\) | 18.1704 | − | 20.9392i | 0.658244 | − | 0.758549i | ||||
\(763\) | −34.6066 | + | 0.541018i | −1.25284 | + | 0.0195862i | ||||
\(764\) | − | 19.8595i | − | 0.718492i | ||||||
\(765\) | 22.1558 | − | 7.08449i | 0.801046 | − | 0.256140i | ||||
\(766\) | 5.40504 | + | 3.12060i | 0.195292 | + | 0.112752i | ||||
\(767\) | −16.7862 | + | 62.6469i | −0.606114 | + | 2.26205i | ||||
\(768\) | 14.4509 | + | 12.5400i | 0.521453 | + | 0.452500i | ||||
\(769\) | 26.2897 | + | 45.5351i | 0.948030 | + | 1.64204i | 0.749568 | + | 0.661927i | \(0.230261\pi\) |
0.198462 | + | 0.980109i | \(0.436405\pi\) | |||||||
\(770\) | 2.21860 | + | 11.9374i | 0.0799526 | + | 0.430193i | ||||
\(771\) | −13.0624 | + | 26.8408i | −0.470430 | + | 0.966649i | ||||
\(772\) | −29.3478 | − | 29.3478i | −1.05625 | − | 1.05625i | ||||
\(773\) | −7.92531 | + | 2.12358i | −0.285053 | + | 0.0763798i | −0.398513 | − | 0.917163i | \(-0.630474\pi\) |
0.113459 | + | 0.993543i | \(0.463807\pi\) | |||||||
\(774\) | −56.1420 | − | 22.5698i | −2.01798 | − | 0.811255i | ||||
\(775\) | 0.561325 | − | 2.96099i | 0.0201634 | − | 0.106362i | ||||
\(776\) | −0.156839 | − | 0.0905510i | −0.00563019 | − | 0.00325059i | ||||
\(777\) | 15.4928 | − | 33.1418i | 0.555802 | − | 1.18895i | ||||
\(778\) | 71.3605 | + | 19.1210i | 2.55840 | + | 0.685521i | ||||
\(779\) | −21.4580 | − | 12.3888i | −0.768813 | − | 0.443874i | ||||
\(780\) | −22.7091 | − | 41.5092i | −0.813115 | − | 1.48627i | ||||
\(781\) | 2.02900 | + | 3.51433i | 0.0726032 | + | 0.125752i | ||||
\(782\) | 40.1490 | + | 10.7579i | 1.43573 | + | 0.384701i | ||||
\(783\) | −3.41337 | + | 1.75039i | −0.121984 | + | 0.0625537i | ||||
\(784\) | 11.2825 | − | 21.0341i | 0.402947 | − | 0.751220i | ||||
\(785\) | −17.5714 | + | 14.5533i | −0.627150 | + | 0.519429i | ||||
\(786\) | 12.6434 | − | 25.9799i | 0.450975 | − | 0.926671i | ||||
\(787\) | −4.26062 | + | 4.26062i | −0.151875 | + | 0.151875i | −0.778955 | − | 0.627080i | \(-0.784250\pi\) |
0.627080 | + | 0.778955i | \(0.284250\pi\) | |||||||
\(788\) | 12.1882 | − | 12.1882i | 0.434186 | − | 0.434186i | ||||
\(789\) | 4.10298 | + | 6.07157i | 0.146070 | + | 0.216154i | ||||
\(790\) | 48.6547 | − | 40.2976i | 1.73106 | − | 1.43373i | ||||
\(791\) | −33.7026 | + | 9.59768i | −1.19833 | + | 0.341254i | ||||
\(792\) | 0.193084 | − | 1.59538i | 0.00686093 | − | 0.0566893i | ||||
\(793\) | −1.82721 | − | 0.489599i | −0.0648861 | − | 0.0173862i | ||||
\(794\) | −4.55554 | − | 7.89042i | −0.161670 | − | 0.280021i | ||||
\(795\) | −7.96916 | + | 13.0979i | −0.282637 | + | 0.464535i | ||||
\(796\) | 28.5313 | + | 16.4726i | 1.01127 | + | 0.583855i | ||||
\(797\) | −43.6611 | − | 11.6990i | −1.54656 | − | 0.414398i | −0.618178 | − | 0.786038i | \(-0.712129\pi\) |
−0.928377 | + | 0.371640i | \(0.878796\pi\) | |||||||
\(798\) | 21.0249 | − | 44.9758i | 0.744274 | − | 1.59213i | ||||
\(799\) | 6.51792 | + | 3.76312i | 0.230588 | + | 0.133130i | ||||
\(800\) | −22.8485 | − | 33.5379i | −0.807816 | − | 1.18574i | ||||
\(801\) | 11.9974 | − | 9.40693i | 0.423909 | − | 0.332378i | ||||
\(802\) | −4.84544 | + | 1.29833i | −0.171098 | + | 0.0458457i | ||||
\(803\) | 9.53890 | + | 9.53890i | 0.336620 | + | 0.336620i | ||||
\(804\) | 28.0247 | − | 1.98406i | 0.988353 | − | 0.0699725i | ||||
\(805\) | −22.3247 | − | 26.1125i | −0.786841 | − | 0.920346i | ||||
\(806\) | −3.36133 | − | 5.82200i | −0.118398 | − | 0.205071i | ||||
\(807\) | −42.6969 | + | 14.7431i | −1.50300 | + | 0.518982i | ||||
\(808\) | −2.38471 | + | 8.89984i | −0.0838936 | + | 0.313095i | ||||
\(809\) | 38.9593 | + | 22.4932i | 1.36974 | + | 0.790818i | 0.990894 | − | 0.134642i | \(-0.0429886\pi\) |
0.378843 | + | 0.925461i | \(0.376322\pi\) | |||||||
\(810\) | 34.3710 | + | 23.3311i | 1.20767 | + | 0.819771i | ||||
\(811\) | − | 7.03631i | − | 0.247078i | −0.992340 | − | 0.123539i | \(-0.960576\pi\) | ||
0.992340 | − | 0.123539i | \(-0.0394244\pi\) | |||||||
\(812\) | 0.0690317 | + | 4.41566i | 0.00242254 | + | 0.154959i | ||||
\(813\) | 36.1108 | + | 6.98679i | 1.26646 | + | 0.245037i | ||||
\(814\) | 14.1894 | + | 8.19224i | 0.497337 | + | 0.287138i | ||||
\(815\) | 17.5626 | + | 6.52003i | 0.615192 | + | 0.228387i | ||||
\(816\) | 8.96166 | − | 18.4146i | 0.313721 | − | 0.644639i | ||||
\(817\) | 36.2625 | − | 36.2625i | 1.26867 | − | 1.26867i | ||||
\(818\) | 14.8609 | + | 14.8609i | 0.519598 | + | 0.519598i | ||||
\(819\) | −39.1804 | + | 17.4401i | −1.36908 | + | 0.609405i | ||||
\(820\) | −9.94817 | − | 21.6959i | −0.347405 | − | 0.757652i | ||||
\(821\) | 4.10400 | 0.143231 | 0.0716153 | − | 0.997432i | \(-0.477185\pi\) | ||||
0.0716153 | + | 0.997432i | \(0.477185\pi\) | |||||||
\(822\) | 9.78905 | + | 1.89400i | 0.341432 | + | 0.0660609i | ||||
\(823\) | 17.9490 | − | 17.9490i | 0.625664 | − | 0.625664i | −0.321310 | − | 0.946974i | \(-0.604123\pi\) |
0.946974 | + | 0.321310i | \(0.104123\pi\) | |||||||
\(824\) | −0.311832 | + | 0.540110i | −0.0108632 | + | 0.0188156i | ||||
\(825\) | 3.18154 | − | 8.00104i | 0.110767 | − | 0.278561i | ||||
\(826\) | −63.5793 | − | 15.9751i | −2.21221 | − | 0.555846i | ||||
\(827\) | 7.43452 | + | 7.43452i | 0.258524 | + | 0.258524i | 0.824453 | − | 0.565930i | \(-0.191483\pi\) |
−0.565930 | + | 0.824453i | \(0.691483\pi\) | |||||||
\(828\) | 15.4534 | + | 36.2312i | 0.537041 | + | 1.25912i | ||||
\(829\) | 7.43908 | − | 12.8849i | 0.258370 | − | 0.447510i | −0.707436 | − | 0.706778i | \(-0.750148\pi\) |
0.965805 | + | 0.259268i | \(0.0834814\pi\) | |||||||
\(830\) | 4.37623 | + | 3.10625i | 0.151901 | + | 0.107820i | ||||
\(831\) | −8.29601 | + | 5.60619i | −0.287785 | + | 0.194477i | ||||
\(832\) | −51.8466 | − | 13.8923i | −1.79746 | − | 0.481628i | ||||
\(833\) | −23.6306 | − | 5.54629i | −0.818751 | − | 0.192167i | ||||
\(834\) | −37.1653 | + | 25.1151i | −1.28693 | + | 0.869666i | ||||
\(835\) | −4.28294 | − | 1.59002i | −0.148217 | − | 0.0550250i | ||||
\(836\) | 10.2178 | + | 5.89924i | 0.353389 | + | 0.204029i | ||||
\(837\) | 2.63110 | + | 1.69896i | 0.0909442 | + | 0.0587245i | ||||
\(838\) | 12.6529 | − | 47.2211i | 0.437086 | − | 1.63123i | ||||
\(839\) | −21.7837 | + | 37.7304i | −0.752056 | + | 1.30260i | 0.194769 | + | 0.980849i | \(0.437604\pi\) |
−0.946825 | + | 0.321749i | \(0.895729\pi\) | |||||||
\(840\) | 4.80136 | − | 2.72512i | 0.165663 | − | 0.0940256i | ||||
\(841\) | −14.2275 | − | 24.6428i | −0.490603 | − | 0.849750i | ||||
\(842\) | 69.6171 | − | 18.6538i | 2.39916 | − | 0.642854i | ||||
\(843\) | 1.30886 | − | 0.451944i | 0.0450795 | − | 0.0155658i | ||||
\(844\) | −15.5795 | + | 8.99485i | −0.536270 | + | 0.309615i | ||||
\(845\) | −29.5297 | − | 20.9602i | −1.01585 | − | 0.721054i | ||||
\(846\) | 1.89369 | + | 13.3070i | 0.0651064 | + | 0.457506i | ||||
\(847\) | −0.414045 | − | 26.4847i | −0.0142267 | − | 0.910023i | ||||
\(848\) | 3.49365 | + | 13.0385i | 0.119972 | + | 0.447743i | ||||
\(849\) | 1.13474 | + | 16.0280i | 0.0389441 | + | 0.550080i | ||||
\(850\) | −23.3541 | + | 27.1187i | −0.801039 | + | 0.930164i | ||||
\(851\) | −46.3594 | −1.58918 | ||||||||
\(852\) | 10.4759 | − | 12.0722i | 0.358898 | − | 0.413588i | ||||
\(853\) | −10.0482 | + | 2.69242i | −0.344045 | + | 0.0921867i | −0.426704 | − | 0.904391i | \(-0.640325\pi\) |
0.0826589 | + | 0.996578i | \(0.473659\pi\) | |||||||
\(854\) | 0.465944 | − | 1.85440i | 0.0159443 | − | 0.0634564i | ||||
\(855\) | −29.6170 | + | 19.0372i | −1.01288 | + | 0.651058i | ||||
\(856\) | −1.62088 | − | 2.80745i | −0.0554007 | − | 0.0959568i | ||||
\(857\) | 42.0909 | + | 11.2782i | 1.43780 | + | 0.385257i | 0.891762 | − | 0.452506i | \(-0.149470\pi\) |
0.546035 | + | 0.837762i | \(0.316136\pi\) | |||||||
\(858\) | −6.26893 | − | 18.1552i | −0.214018 | − | 0.619809i | ||||
\(859\) | −19.9256 | + | 34.5121i | −0.679851 | + | 1.17754i | 0.295174 | + | 0.955444i | \(0.404622\pi\) |
−0.975025 | + | 0.222094i | \(0.928711\pi\) | |||||||
\(860\) | 48.7037 | − | 8.26630i | 1.66078 | − | 0.281878i | ||||
\(861\) | −20.3364 | + | 7.37984i | −0.693062 | + | 0.251504i | ||||
\(862\) | −11.9268 | + | 3.19579i | −0.406230 | + | 0.108849i | ||||
\(863\) | −1.77797 | − | 0.476405i | −0.0605228 | − | 0.0162170i | 0.228431 | − | 0.973560i | \(-0.426641\pi\) |
−0.288953 | + | 0.957343i | \(0.593307\pi\) | |||||||
\(864\) | 41.2288 | − | 8.87547i | 1.40263 | − | 0.301949i | ||||
\(865\) | 0.303755 | + | 0.366749i | 0.0103280 | + | 0.0124698i | ||||
\(866\) | 4.51385i | 0.153387i | ||||||||
\(867\) | 8.46210 | + | 1.63726i | 0.287388 | + | 0.0556043i | ||||
\(868\) | 3.09403 | − | 1.85142i | 0.105018 | − | 0.0628413i | ||||
\(869\) | 11.7851 | − | 6.80412i | 0.399782 | − | 0.230814i | ||||
\(870\) | 3.06775 | − | 5.04208i | 0.104006 | − | 0.170942i | ||||
\(871\) | 33.5696 | − | 19.3814i | 1.13746 | − | 0.656714i | ||||
\(872\) | −6.80792 | + | 1.82418i | −0.230545 | + | 0.0617744i | ||||
\(873\) | 0.927561 | − | 0.395624i | 0.0313932 | − | 0.0133898i | ||||
\(874\) | −62.9132 | −2.12807 | ||||||||
\(875\) | 28.5998 | − | 7.55324i | 0.966850 | − | 0.255346i | ||||
\(876\) | 23.2516 | − | 47.7779i | 0.785599 | − | 1.61426i | ||||
\(877\) | −11.1208 | + | 2.97980i | −0.375522 | + | 0.100621i | −0.441643 | − | 0.897191i | \(-0.645604\pi\) |
0.0661214 | + | 0.997812i | \(0.478938\pi\) | |||||||
\(878\) | 12.6008 | + | 12.6008i | 0.425257 | + | 0.425257i | ||||
\(879\) | 31.8407 | − | 21.5170i | 1.07396 | − | 0.725749i | ||||
\(880\) | −3.15968 | − | 6.89092i | −0.106513 | − | 0.232293i | ||||
\(881\) | − | 41.9100i | − | 1.41198i | −0.708221 | − | 0.705991i | \(-0.750502\pi\) | ||
0.708221 | − | 0.705991i | \(-0.249498\pi\) | |||||||
\(882\) | −18.2448 | − | 39.3221i | −0.614336 | − | 1.32405i | ||||
\(883\) | −16.9929 | + | 16.9929i | −0.571856 | + | 0.571856i | −0.932647 | − | 0.360791i | \(-0.882507\pi\) |
0.360791 | + | 0.932647i | \(0.382507\pi\) | |||||||
\(884\) | 42.3618i | 1.42478i | ||||||||
\(885\) | 32.1081 | + | 33.6198i | 1.07930 | + | 1.13012i | ||||
\(886\) | 43.0459 | 1.44616 | ||||||||
\(887\) | 4.61230 | + | 17.2133i | 0.154866 | + | 0.577967i | 0.999117 | + | 0.0420191i | \(0.0133790\pi\) |
−0.844251 | + | 0.535948i | \(0.819954\pi\) | |||||||
\(888\) | 1.41518 | − | 7.31429i | 0.0474904 | − | 0.245451i | ||||
\(889\) | 19.8972 | + | 4.99945i | 0.667332 | + | 0.167676i | ||||
\(890\) | −8.16372 | + | 21.9901i | −0.273649 | + | 0.737111i | ||||
\(891\) | 6.45828 | + | 6.19360i | 0.216360 | + | 0.207493i | ||||
\(892\) | −0.224614 | − | 0.838271i | −0.00752064 | − | 0.0280674i | ||||
\(893\) | −11.0036 | − | 2.94839i | −0.368220 | − | 0.0986642i | ||||
\(894\) | −5.95433 | + | 12.2351i | −0.199143 | + | 0.409202i | ||||
\(895\) | 40.7851 | + | 28.9493i | 1.36329 | + | 0.967668i | ||||
\(896\) | 2.75529 | − | 10.9658i | 0.0920479 | − | 0.366341i | ||||
\(897\) | 41.0462 | + | 35.6185i | 1.37049 | + | 1.18927i | ||||
\(898\) | −12.8601 | + | 12.8601i | −0.429147 | + | 0.429147i | ||||
\(899\) | 0.222485 | − | 0.385356i | 0.00742030 | − | 0.0128523i | ||||
\(900\) | −33.8792 | − | 1.55927i | −1.12931 | − | 0.0519757i | ||||
\(901\) | 11.8877 | − | 6.86337i | 0.396037 | − | 0.228652i | ||||
\(902\) | −2.50768 | − | 9.35879i | −0.0834966 | − | 0.311614i | ||||
\(903\) | −3.85993 | − | 44.6099i | −0.128450 | − | 1.48453i | ||||
\(904\) | −6.17996 | + | 3.56800i | −0.205542 | + | 0.118670i | ||||
\(905\) | 1.74747 | − | 18.6000i | 0.0580879 | − | 0.618285i | ||||
\(906\) | −33.5361 | + | 22.6627i | −1.11416 | + | 0.752917i | ||||
\(907\) | −10.1334 | + | 37.8182i | −0.336473 | + | 1.25573i | 0.565791 | + | 0.824549i | \(0.308571\pi\) |
−0.902264 | + | 0.431185i | \(0.858096\pi\) | |||||||
\(908\) | −8.93806 | + | 33.3573i | −0.296620 | + | 1.10700i | ||||
\(909\) | −31.6559 | − | 40.3734i | −1.04996 | − | 1.33910i | ||||
\(910\) | 37.3470 | − | 54.3981i | 1.23804 | − | 1.80328i | ||||
\(911\) | −16.1811 | + | 28.0265i | −0.536104 | + | 0.928559i | 0.463005 | + | 0.886355i | \(0.346771\pi\) |
−0.999109 | + | 0.0422034i | \(0.986562\pi\) | |||||||
\(912\) | −5.88828 | + | 30.4333i | −0.194980 | + | 1.00775i | ||||
\(913\) | 0.817399 | + | 0.817399i | 0.0270520 | + | 0.0270520i | ||||
\(914\) | 16.3601i | 0.541145i | ||||||||
\(915\) | −0.980583 | + | 0.936491i | −0.0324171 | + | 0.0309594i | ||||
\(916\) | 43.3710 | + | 25.0402i | 1.43302 | + | 0.827353i | ||||
\(917\) | 21.3783 | − | 0.334215i | 0.705973 | − | 0.0110367i | ||||
\(918\) | −16.9712 | − | 33.0950i | −0.560134 | − | 1.09230i | ||||
\(919\) | −11.9595 | + | 6.90481i | −0.394507 | + | 0.227769i | −0.684111 | − | 0.729378i | \(-0.739810\pi\) |
0.289604 | + | 0.957146i | \(0.406476\pi\) | |||||||
\(920\) | −5.70492 | − | 4.04936i | −0.188085 | − | 0.133503i | ||||
\(921\) | 52.4619 | − | 3.71415i | 1.72868 | − | 0.122385i | ||||
\(922\) | −5.58960 | − | 20.8607i | −0.184084 | − | 0.687010i | ||||
\(923\) | 5.70777 | − | 21.3017i | 0.187874 | − | 0.701154i | ||||
\(924\) | 9.68368 | − | 3.51410i | 0.318570 | − | 0.115605i | ||||
\(925\) | 17.3318 | − | 35.9576i | 0.569866 | − | 1.18228i | ||||
\(926\) | 32.2329 | + | 55.8290i | 1.05924 | + | 1.83465i | ||||
\(927\) | −1.36242 | − | 3.19426i | −0.0447477 | − | 0.104913i | ||||
\(928\) | −1.55078 | − | 5.78759i | −0.0509068 | − | 0.189987i | ||||
\(929\) | 46.8625 | 1.53751 | 0.768754 | − | 0.639544i | \(-0.220877\pi\) | ||||
0.768754 | + | 0.639544i | \(0.220877\pi\) | |||||||
\(930\) | −4.81749 | − | 0.110802i | −0.157972 | − | 0.00363335i | ||||
\(931\) | 36.7212 | − | 1.14843i | 1.20349 | − | 0.0376384i | ||||
\(932\) | −15.7984 | + | 58.9606i | −0.517495 | + | 1.93132i | ||||
\(933\) | 10.1825 | − | 11.7341i | 0.333360 | − | 0.384158i | ||||
\(934\) | −30.6685 | − | 53.1194i | −1.00350 | − | 1.73812i | ||||
\(935\) | −5.93708 | + | 4.91731i | −0.194163 | + | 0.160813i | ||||
\(936\) | −6.87265 | + | 5.38870i | −0.224640 | + | 0.176135i | ||||
\(937\) | 12.4788 | − | 12.4788i | 0.407664 | − | 0.407664i | −0.473259 | − | 0.880923i | \(-0.656923\pi\) |
0.880923 | + | 0.473259i | \(0.156923\pi\) | |||||||
\(938\) | 20.1182 | + | 33.6208i | 0.656882 | + | 1.09776i | ||||
\(939\) | 1.85418 | + | 26.1900i | 0.0605087 | + | 0.854678i | ||||
\(940\) | −6.99960 | − | 8.45121i | −0.228302 | − | 0.275648i | ||||
\(941\) | − | 9.96771i | − | 0.324938i | −0.986714 | − | 0.162469i | \(-0.948054\pi\) | ||
0.986714 | − | 0.162469i | \(-0.0519458\pi\) | |||||||
\(942\) | 27.5531 | + | 23.9097i | 0.897728 | + | 0.779019i | ||||
\(943\) | 19.3850 | + | 19.3850i | 0.631263 | + | 0.631263i | ||||
\(944\) | 40.9299 | 1.33216 | ||||||||
\(945\) | −3.91815 | + | 30.4901i | −0.127457 | + | 0.991844i | ||||
\(946\) | 20.0535 | 0.651996 | ||||||||
\(947\) | −17.6982 | − | 17.6982i | −0.575115 | − | 0.575115i | 0.358438 | − | 0.933553i | \(-0.383309\pi\) |
−0.933553 | + | 0.358438i | \(0.883309\pi\) | |||||||
\(948\) | −40.4836 | − | 35.1303i | −1.31484 | − | 1.14098i | ||||
\(949\) | − | 73.3115i | − | 2.37979i | ||||||
\(950\) | 23.5205 | − | 48.7971i | 0.763107 | − | 1.58319i | ||||
\(951\) | −0.353877 | − | 4.99847i | −0.0114753 | − | 0.162087i | ||||
\(952\) | −4.94225 | + | 0.0772641i | −0.160179 | + | 0.00250414i | ||||
\(953\) | 1.81744 | − | 1.81744i | 0.0588728 | − | 0.0588728i | −0.677057 | − | 0.735930i | \(-0.736745\pi\) |
0.735930 | + | 0.677057i | \(0.236745\pi\) | |||||||
\(954\) | 22.7454 | + | 9.14393i | 0.736408 | + | 0.296046i | ||||
\(955\) | −19.5543 | − | 1.83713i | −0.632764 | − | 0.0594482i | ||||
\(956\) | −3.91381 | − | 6.77892i | −0.126582 | − | 0.219246i | ||||
\(957\) | 0.833222 | − | 0.960190i | 0.0269342 | − | 0.0310385i | ||||
\(958\) | 10.7836 | − | 40.2449i | 0.348402 | − | 1.30025i | ||||
\(959\) | 2.02080 | + | 7.09612i | 0.0652550 | + | 0.229146i | ||||
\(960\) | −27.8238 | + | 26.5727i | −0.898010 | + | 0.857630i | ||||
\(961\) | 30.6367 | 0.988281 | ||||||||
\(962\) | −23.0456 | − | 86.0073i | −0.743020 | − | 2.77299i | ||||
\(963\) | 17.9200 | + | 2.16880i | 0.577463 | + | 0.0698886i | ||||
\(964\) | −23.9868 | − | 41.5464i | −0.772563 | − | 1.33812i | ||||
\(965\) | −31.6117 | + | 26.1820i | −1.01762 | + | 0.842829i | ||||
\(966\) | −35.3493 | + | 42.0461i | −1.13735 | + | 1.35281i | ||||
\(967\) | −5.23673 | + | 19.5437i | −0.168402 | + | 0.628484i | 0.829180 | + | 0.558982i | \(0.188808\pi\) |
−0.997582 | + | 0.0695023i | \(0.977859\pi\) | |||||||
\(968\) | −1.39605 | − | 5.21015i | −0.0448709 | − | 0.167460i | ||||
\(969\) | 31.4432 | − | 2.22609i | 1.01010 | − | 0.0715123i | ||||
\(970\) | −0.898040 | + | 1.26520i | −0.0288343 | + | 0.0406231i | ||||
\(971\) | −27.2751 | + | 15.7473i | −0.875299 | + | 0.505354i | −0.869106 | − | 0.494627i | \(-0.835305\pi\) |
−0.00619370 | + | 0.999981i | \(0.501972\pi\) | |||||||
\(972\) | 14.7570 | − | 32.0076i | 0.473331 | − | 1.02664i | ||||
\(973\) | −29.0021 | − | 16.1452i | −0.929764 | − | 0.517592i | ||||
\(974\) | 4.39711 | + | 2.53868i | 0.140893 | + | 0.0813444i | ||||
\(975\) | −42.9721 | + | 18.5203i | −1.37621 | + | 0.593123i | ||||
\(976\) | 1.19380i | 0.0382125i | ||||||||
\(977\) | 26.9136 | + | 26.9136i | 0.861043 | + | 0.861043i | 0.991459 | − | 0.130416i | \(-0.0416314\pi\) |
−0.130416 | + | 0.991459i | \(0.541631\pi\) | |||||||
\(978\) | 5.69007 | − | 29.4088i | 0.181948 | − | 0.940391i | ||||
\(979\) | −2.52631 | + | 4.37569i | −0.0807412 | + | 0.139848i | ||||
\(980\) | 29.4856 | + | 19.5723i | 0.941884 | + | 0.625215i | ||||
\(981\) | 14.6384 | − | 36.4127i | 0.467368 | − | 1.16257i | ||||
\(982\) | −9.56754 | + | 35.7065i | −0.305312 | + | 1.13944i | ||||
\(983\) | 7.81205 | − | 29.1550i | 0.249166 | − | 0.929899i | −0.722078 | − | 0.691812i | \(-0.756813\pi\) |
0.971244 | − | 0.238088i | \(-0.0765205\pi\) | |||||||
\(984\) | −3.65020 | + | 2.46669i | −0.116364 | + | 0.0786352i | ||||
\(985\) | −10.8734 | − | 13.1284i | −0.346456 | − | 0.418305i | ||||
\(986\) | −4.57620 | + | 2.64207i | −0.145736 | + | 0.0841407i | ||||
\(987\) | −8.15309 | + | 5.69725i | −0.259516 | + | 0.181346i | ||||
\(988\) | −16.5952 | − | 61.9340i | −0.527962 | − | 1.97038i | ||||
\(989\) | −49.1390 | + | 28.3704i | −1.56253 | + | 0.902126i | ||||
\(990\) | −13.4531 | − | 2.92537i | −0.427568 | − | 0.0929744i | ||||
\(991\) | 17.5648 | − | 30.4231i | 0.557964 | − | 0.966423i | −0.439702 | − | 0.898144i | \(-0.644916\pi\) |
0.997666 | − | 0.0682788i | \(-0.0217507\pi\) | |||||||
\(992\) | −3.45919 | + | 3.45919i | −0.109829 | + | 0.109829i | ||||
\(993\) | 40.2395 | + | 34.9185i | 1.27696 | + | 1.10811i | ||||
\(994\) | 21.6187 | + | 5.43199i | 0.685704 | + | 0.172292i | ||||
\(995\) | 18.8588 | − | 26.5691i | 0.597864 | − | 0.842297i | ||||
\(996\) | 1.99246 | − | 4.09414i | 0.0631335 | − | 0.129728i | ||||
\(997\) | −12.9083 | − | 3.45877i | −0.408810 | − | 0.109540i | 0.0485527 | − | 0.998821i | \(-0.484539\pi\) |
−0.457362 | + | 0.889280i | \(0.651206\pi\) | |||||||
\(998\) | 2.87939 | + | 10.7460i | 0.0911455 | + | 0.340160i | ||||
\(999\) | 27.8373 | + | 30.7554i | 0.880732 | + | 0.973056i |
(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 | 315.2.bs.e.52.8 | ✓ | 160 | |
3.2 | odd | 2 | 945.2.bv.e.262.33 | 160 | |||
5.3 | odd | 4 | inner | 315.2.bs.e.178.8 | yes | 160 | |
7.5 | odd | 6 | 315.2.cg.e.187.8 | yes | 160 | ||
9.4 | even | 3 | 315.2.cg.e.157.33 | yes | 160 | ||
9.5 | odd | 6 | 945.2.cj.e.577.8 | 160 | |||
15.8 | even | 4 | 945.2.bv.e.73.33 | 160 | |||
21.5 | even | 6 | 945.2.cj.e.397.33 | 160 | |||
35.33 | even | 12 | 315.2.cg.e.313.33 | yes | 160 | ||
45.13 | odd | 12 | 315.2.cg.e.283.8 | yes | 160 | ||
45.23 | even | 12 | 945.2.cj.e.388.33 | 160 | |||
63.5 | even | 6 | 945.2.bv.e.712.33 | 160 | |||
63.40 | odd | 6 | inner | 315.2.bs.e.292.8 | yes | 160 | |
105.68 | odd | 12 | 945.2.cj.e.208.8 | 160 | |||
315.68 | odd | 12 | 945.2.bv.e.523.33 | 160 | |||
315.103 | even | 12 | inner | 315.2.bs.e.103.8 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.bs.e.52.8 | ✓ | 160 | 1.1 | even | 1 | trivial | |
315.2.bs.e.103.8 | yes | 160 | 315.103 | even | 12 | inner | |
315.2.bs.e.178.8 | yes | 160 | 5.3 | odd | 4 | inner | |
315.2.bs.e.292.8 | yes | 160 | 63.40 | odd | 6 | inner | |
315.2.cg.e.157.33 | yes | 160 | 9.4 | even | 3 | ||
315.2.cg.e.187.8 | yes | 160 | 7.5 | odd | 6 | ||
315.2.cg.e.283.8 | yes | 160 | 45.13 | odd | 12 | ||
315.2.cg.e.313.33 | yes | 160 | 35.33 | even | 12 | ||
945.2.bv.e.73.33 | 160 | 15.8 | even | 4 | |||
945.2.bv.e.262.33 | 160 | 3.2 | odd | 2 | |||
945.2.bv.e.523.33 | 160 | 315.68 | odd | 12 | |||
945.2.bv.e.712.33 | 160 | 63.5 | even | 6 | |||
945.2.cj.e.208.8 | 160 | 105.68 | odd | 12 | |||
945.2.cj.e.388.33 | 160 | 45.23 | even | 12 | |||
945.2.cj.e.397.33 | 160 | 21.5 | even | 6 | |||
945.2.cj.e.577.8 | 160 | 9.5 | odd | 6 |