Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 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("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.5 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.17890 | − | 0.781149i | −0.833608 | − | 0.552356i | ||||
\(3\) | −1.69048 | − | 0.377192i | −0.976000 | − | 0.217772i | ||||
\(4\) | 0.779612 | + | 1.84179i | 0.389806 | + | 0.920897i | ||||
\(5\) | 1.05401 | + | 0.282421i | 0.471368 | + | 0.126303i | 0.486681 | − | 0.873580i | \(-0.338208\pi\) |
−0.0153123 | + | 0.999883i | \(0.504874\pi\) | |||||||
\(6\) | 1.69826 | + | 1.76519i | 0.693314 | + | 0.720636i | ||||
\(7\) | −1.93586 | + | 3.35301i | −0.731687 | + | 1.26732i | 0.224475 | + | 0.974480i | \(0.427933\pi\) |
−0.956162 | + | 0.292839i | \(0.905400\pi\) | |||||||
\(8\) | 0.519632 | − | 2.78028i | 0.183718 | − | 0.982979i | ||||
\(9\) | 2.71545 | + | 1.27527i | 0.905151 | + | 0.425091i | ||||
\(10\) | −1.02196 | − | 1.15629i | −0.323172 | − | 0.365650i | ||||
\(11\) | 3.53182 | − | 0.946349i | 1.06488 | − | 0.285335i | 0.316495 | − | 0.948594i | \(-0.397494\pi\) |
0.748390 | + | 0.663259i | \(0.230827\pi\) | |||||||
\(12\) | −0.623208 | − | 3.40758i | −0.179905 | − | 0.983684i | ||||
\(13\) | 3.87946 | + | 1.03950i | 1.07597 | + | 0.288305i | 0.752943 | − | 0.658085i | \(-0.228633\pi\) |
0.323025 | + | 0.946390i | \(0.395300\pi\) | |||||||
\(14\) | 4.90139 | − | 2.44067i | 1.30995 | − | 0.652296i | ||||
\(15\) | −1.67526 | − | 0.874993i | −0.432550 | − | 0.225922i | ||||
\(16\) | −2.78441 | + | 2.87177i | −0.696103 | + | 0.717942i | ||||
\(17\) | 1.55026i | 0.375994i | 0.982170 | + | 0.187997i | \(0.0601995\pi\) | ||||
−0.982170 | + | 0.187997i | \(0.939800\pi\) | |||||||
\(18\) | −2.20507 | − | 3.62459i | −0.519740 | − | 0.854325i | ||||
\(19\) | 4.06175 | + | 4.06175i | 0.931829 | + | 0.931829i | 0.997820 | − | 0.0659916i | \(-0.0210211\pi\) |
−0.0659916 | + | 0.997820i | \(0.521021\pi\) | |||||||
\(20\) | 0.301557 | + | 2.16145i | 0.0674302 | + | 0.483315i | ||||
\(21\) | 4.53727 | − | 4.93801i | 0.990113 | − | 1.07756i | ||||
\(22\) | −4.90291 | − | 1.64323i | −1.04530 | − | 0.350338i | ||||
\(23\) | −3.86595 | + | 2.23201i | −0.806106 | + | 0.465405i | −0.845602 | − | 0.533814i | \(-0.820758\pi\) |
0.0394958 | + | 0.999220i | \(0.487425\pi\) | |||||||
\(24\) | −1.92713 | + | 4.50402i | −0.393374 | + | 0.919379i | ||||
\(25\) | −3.29895 | − | 1.90465i | −0.659790 | − | 0.380930i | ||||
\(26\) | −3.76149 | − | 4.25590i | −0.737690 | − | 0.834651i | ||||
\(27\) | −4.10940 | − | 3.18007i | −0.790854 | − | 0.612005i | ||||
\(28\) | −7.68478 | − | 0.951413i | −1.45229 | − | 0.179800i | ||||
\(29\) | −4.28493 | + | 1.14814i | −0.795691 | + | 0.213205i | −0.633691 | − | 0.773586i | \(-0.718461\pi\) |
−0.162000 | + | 0.986791i | \(0.551794\pi\) | |||||||
\(30\) | 1.29146 | + | 2.34016i | 0.235788 | + | 0.427252i | ||||
\(31\) | 1.85935 | − | 1.07349i | 0.333948 | − | 0.192805i | −0.323644 | − | 0.946179i | \(-0.604908\pi\) |
0.657593 | + | 0.753374i | \(0.271575\pi\) | |||||||
\(32\) | 5.52582 | − | 1.21049i | 0.976837 | − | 0.213986i | ||||
\(33\) | −6.32743 | + | 0.267609i | −1.10146 | + | 0.0465847i | ||||
\(34\) | 1.21099 | − | 1.82761i | 0.207683 | − | 0.313432i | ||||
\(35\) | −2.98738 | + | 2.98738i | −0.504960 | + | 0.504960i | ||||
\(36\) | −0.231793 | + | 5.99552i | −0.0386321 | + | 0.999254i | ||||
\(37\) | 6.04318 | + | 6.04318i | 0.993493 | + | 0.993493i | 0.999979 | − | 0.00648560i | \(-0.00206445\pi\) |
−0.00648560 | + | 0.999979i | \(0.502064\pi\) | |||||||
\(38\) | −1.61556 | − | 7.96122i | −0.262079 | − | 1.29148i | ||||
\(39\) | −6.16606 | − | 3.22055i | −0.987360 | − | 0.515702i | ||||
\(40\) | 1.33291 | − | 2.78370i | 0.210752 | − | 0.440141i | ||||
\(41\) | 1.59725 | + | 2.76652i | 0.249449 | + | 0.432058i | 0.963373 | − | 0.268165i | \(-0.0864173\pi\) |
−0.713924 | + | 0.700223i | \(0.753084\pi\) | |||||||
\(42\) | −9.20631 | + | 2.27714i | −1.42056 | + | 0.351370i | ||||
\(43\) | −1.47814 | − | 5.51650i | −0.225415 | − | 0.841259i | −0.982238 | − | 0.187639i | \(-0.939916\pi\) |
0.756823 | − | 0.653619i | \(-0.226750\pi\) | |||||||
\(44\) | 4.49643 | + | 5.76711i | 0.677862 | + | 0.869424i | ||||
\(45\) | 2.50195 | + | 2.11105i | 0.372969 | + | 0.314697i | ||||
\(46\) | 6.30110 | + | 0.388570i | 0.929046 | + | 0.0572915i | ||||
\(47\) | 0.0494357 | − | 0.0856252i | 0.00721094 | − | 0.0124897i | −0.862397 | − | 0.506232i | \(-0.831038\pi\) |
0.869608 | + | 0.493742i | \(0.164371\pi\) | |||||||
\(48\) | 5.79020 | − | 3.80441i | 0.835744 | − | 0.549119i | ||||
\(49\) | −3.99512 | − | 6.91976i | −0.570732 | − | 0.988537i | ||||
\(50\) | 2.40132 | + | 4.82236i | 0.339597 | + | 0.681985i | ||||
\(51\) | 0.584747 | − | 2.62069i | 0.0818810 | − | 0.366970i | ||||
\(52\) | 1.10993 | + | 7.95557i | 0.153920 | + | 1.10324i | ||||
\(53\) | −1.72094 | + | 1.72094i | −0.236389 | + | 0.236389i | −0.815353 | − | 0.578964i | \(-0.803457\pi\) |
0.578964 | + | 0.815353i | \(0.303457\pi\) | |||||||
\(54\) | 2.36046 | + | 6.95904i | 0.321218 | + | 0.947005i | ||||
\(55\) | 3.98985 | 0.537991 | ||||||||
\(56\) | 8.31639 | + | 7.12458i | 1.11132 | + | 0.952062i | ||||
\(57\) | −5.33425 | − | 8.39837i | −0.706538 | − | 1.11239i | ||||
\(58\) | 5.94838 | + | 1.99362i | 0.781060 | + | 0.261776i | ||||
\(59\) | 3.58531 | − | 13.3806i | 0.466768 | − | 1.74200i | −0.184192 | − | 0.982890i | \(-0.558967\pi\) |
0.650960 | − | 0.759112i | \(-0.274367\pi\) | |||||||
\(60\) | 0.305506 | − | 3.76764i | 0.0394407 | − | 0.486400i | ||||
\(61\) | −2.33005 | − | 8.69586i | −0.298332 | − | 1.11339i | −0.938535 | − | 0.345184i | \(-0.887816\pi\) |
0.640203 | − | 0.768206i | \(-0.278850\pi\) | |||||||
\(62\) | −3.03054 | − | 0.186885i | −0.384879 | − | 0.0237344i | ||||
\(63\) | −9.53275 | + | 6.63619i | −1.20101 | + | 0.836081i | ||||
\(64\) | −7.45997 | − | 2.88945i | −0.932496 | − | 0.361181i | ||||
\(65\) | 3.79542 | + | 2.19129i | 0.470764 | + | 0.271796i | ||||
\(66\) | 7.66846 | + | 4.62719i | 0.943922 | + | 0.569567i | ||||
\(67\) | 0.251689 | − | 0.939315i | 0.0307487 | − | 0.114756i | −0.948846 | − | 0.315740i | \(-0.897747\pi\) |
0.979594 | + | 0.200984i | \(0.0644140\pi\) | |||||||
\(68\) | −2.85527 | + | 1.20860i | −0.346252 | + | 0.146565i | ||||
\(69\) | 7.37721 | − | 2.31496i | 0.888111 | − | 0.278688i | ||||
\(70\) | 5.85542 | − | 1.18823i | 0.699856 | − | 0.142021i | ||||
\(71\) | 7.11471i | 0.844361i | 0.906512 | + | 0.422180i | \(0.138735\pi\) | ||||
−0.906512 | + | 0.422180i | \(0.861265\pi\) | |||||||
\(72\) | 4.95666 | − | 6.88706i | 0.584148 | − | 0.811647i | ||||
\(73\) | − | 10.4116i | − | 1.21859i | −0.792945 | − | 0.609293i | \(-0.791453\pi\) | ||
0.792945 | − | 0.609293i | \(-0.208547\pi\) | |||||||
\(74\) | −2.40368 | − | 11.8449i | −0.279422 | − | 1.37695i | ||||
\(75\) | 4.85839 | + | 4.46411i | 0.560999 | + | 0.515471i | ||||
\(76\) | −4.31432 | + | 10.6475i | −0.494886 | + | 1.22135i | ||||
\(77\) | −3.66400 | + | 13.6742i | −0.417552 | + | 1.55832i | ||||
\(78\) | 4.75344 | + | 8.61333i | 0.538221 | + | 0.975267i | ||||
\(79\) | 14.2402 | + | 8.22160i | 1.60215 | + | 0.925003i | 0.991056 | + | 0.133446i | \(0.0426041\pi\) |
0.611095 | + | 0.791557i | \(0.290729\pi\) | |||||||
\(80\) | −3.74585 | + | 2.24050i | −0.418799 | + | 0.250495i | ||||
\(81\) | 5.74736 | + | 6.92588i | 0.638595 | + | 0.769543i | ||||
\(82\) | 0.278065 | − | 4.50914i | 0.0307072 | − | 0.497951i | ||||
\(83\) | −4.02380 | − | 15.0170i | −0.441669 | − | 1.64833i | −0.724584 | − | 0.689186i | \(-0.757968\pi\) |
0.282915 | − | 0.959145i | \(-0.408698\pi\) | |||||||
\(84\) | 12.6321 | + | 4.50698i | 1.37828 | + | 0.491752i | ||||
\(85\) | −0.437828 | + | 1.63399i | −0.0474891 | + | 0.177232i | ||||
\(86\) | −2.56663 | + | 7.65806i | −0.276767 | + | 0.825789i | ||||
\(87\) | 7.67666 | − | 0.324672i | 0.823025 | − | 0.0348085i | ||||
\(88\) | −0.795872 | − | 10.3112i | −0.0848402 | − | 1.09918i | ||||
\(89\) | −11.2398 | −1.19142 | −0.595710 | − | 0.803200i | \(-0.703129\pi\) | ||||
−0.595710 | + | 0.803200i | \(0.703129\pi\) | |||||||
\(90\) | −1.30050 | − | 4.44312i | −0.137085 | − | 0.468346i | ||||
\(91\) | −10.9956 | + | 10.9956i | −1.15265 | + | 1.15265i | ||||
\(92\) | −7.12483 | − | 5.38018i | −0.742815 | − | 0.560923i | ||||
\(93\) | −3.54810 | + | 1.11339i | −0.367921 | + | 0.115453i | ||||
\(94\) | −0.125166 | + | 0.0623269i | −0.0129099 | + | 0.00642852i | ||||
\(95\) | 3.13400 | + | 5.42825i | 0.321542 | + | 0.556927i | ||||
\(96\) | −9.79789 | − | 0.0379930i | −0.999992 | − | 0.00387764i | ||||
\(97\) | 0.0532804 | − | 0.0922843i | 0.00540980 | − | 0.00937005i | −0.863308 | − | 0.504678i | \(-0.831611\pi\) |
0.868718 | + | 0.495308i | \(0.164945\pi\) | |||||||
\(98\) | −0.695511 | + | 11.2785i | −0.0702572 | + | 1.13930i | ||||
\(99\) | 10.7973 | + | 1.93427i | 1.08517 | + | 0.194402i | ||||
\(100\) | 0.936073 | − | 7.56087i | 0.0936073 | − | 0.756087i | ||||
\(101\) | −1.12101 | − | 4.18366i | −0.111545 | − | 0.416290i | 0.887461 | − | 0.460883i | \(-0.152467\pi\) |
−0.999005 | + | 0.0445936i | \(0.985801\pi\) | |||||||
\(102\) | −2.73651 | + | 2.63276i | −0.270955 | + | 0.260682i | ||||
\(103\) | −1.25063 | − | 2.16615i | −0.123228 | − | 0.213437i | 0.797811 | − | 0.602908i | \(-0.205991\pi\) |
−0.921039 | + | 0.389470i | \(0.872658\pi\) | |||||||
\(104\) | 4.90599 | − | 10.2458i | 0.481072 | − | 1.00469i | ||||
\(105\) | 6.17693 | − | 3.92330i | 0.602807 | − | 0.382874i | ||||
\(106\) | 3.37312 | − | 0.684504i | 0.327626 | − | 0.0664849i | ||||
\(107\) | 6.01074 | + | 6.01074i | 0.581080 | + | 0.581080i | 0.935200 | − | 0.354120i | \(-0.115220\pi\) |
−0.354120 | + | 0.935200i | \(0.615220\pi\) | |||||||
\(108\) | 2.65331 | − | 10.0479i | 0.255314 | − | 0.966858i | ||||
\(109\) | 0.880973 | − | 0.880973i | 0.0843819 | − | 0.0843819i | −0.663656 | − | 0.748038i | \(-0.730996\pi\) |
0.748038 | + | 0.663656i | \(0.230996\pi\) | |||||||
\(110\) | −4.70364 | − | 3.11667i | −0.448474 | − | 0.297163i | ||||
\(111\) | −7.93645 | − | 12.4953i | −0.753294 | − | 1.18600i | ||||
\(112\) | −4.23883 | − | 14.8955i | −0.400532 | − | 1.40749i | ||||
\(113\) | 2.13357 | − | 1.23182i | 0.200709 | − | 0.115880i | −0.396277 | − | 0.918131i | \(-0.629698\pi\) |
0.596986 | + | 0.802251i | \(0.296365\pi\) | |||||||
\(114\) | −0.271834 | + | 14.0677i | −0.0254595 | + | 1.31756i | ||||
\(115\) | −4.70512 | + | 1.26073i | −0.438755 | + | 0.117564i | ||||
\(116\) | −5.45522 | − | 6.99685i | −0.506505 | − | 0.649641i | ||||
\(117\) | 9.20884 | + | 7.77008i | 0.851358 | + | 0.718344i | ||||
\(118\) | −14.6790 | + | 12.9737i | −1.35131 | + | 1.19433i | ||||
\(119\) | −5.19805 | − | 3.00110i | −0.476504 | − | 0.275110i | ||||
\(120\) | −3.30325 | + | 4.20302i | −0.301544 | + | 0.383682i | ||||
\(121\) | 2.05191 | − | 1.18467i | 0.186538 | − | 0.107698i | ||||
\(122\) | −4.04587 | + | 12.0717i | −0.366296 | + | 1.09292i | ||||
\(123\) | −1.65661 | − | 5.27922i | −0.149372 | − | 0.476011i | ||||
\(124\) | 3.42672 | + | 2.58762i | 0.307729 | + | 0.232375i | ||||
\(125\) | −6.79716 | − | 6.79716i | −0.607957 | − | 0.607957i | ||||
\(126\) | 16.4220 | − | 0.376907i | 1.46299 | − | 0.0335776i | ||||
\(127\) | − | 3.76697i | − | 0.334264i | −0.985934 | − | 0.167132i | \(-0.946549\pi\) | ||
0.985934 | − | 0.167132i | \(-0.0534507\pi\) | |||||||
\(128\) | 6.53746 | + | 9.23372i | 0.577836 | + | 0.816153i | ||||
\(129\) | 0.417989 | + | 9.88309i | 0.0368019 | + | 0.870157i | ||||
\(130\) | −2.76270 | − | 5.54810i | −0.242305 | − | 0.486600i | ||||
\(131\) | 1.28665 | + | 0.344757i | 0.112415 | + | 0.0301216i | 0.314588 | − | 0.949228i | \(-0.398134\pi\) |
−0.202173 | + | 0.979350i | \(0.564800\pi\) | |||||||
\(132\) | −5.42582 | − | 11.4452i | −0.472257 | − | 0.996177i | ||||
\(133\) | −21.4821 | + | 5.75610i | −1.86273 | + | 0.499117i | ||||
\(134\) | −1.03046 | + | 0.910752i | −0.0890183 | + | 0.0786770i | ||||
\(135\) | −3.43323 | − | 4.51241i | −0.295485 | − | 0.388367i | ||||
\(136\) | 4.31017 | + | 0.805566i | 0.369594 | + | 0.0690767i | ||||
\(137\) | −5.59673 | + | 9.69382i | −0.478161 | + | 0.828199i | −0.999687 | − | 0.0250365i | \(-0.992030\pi\) |
0.521526 | + | 0.853236i | \(0.325363\pi\) | |||||||
\(138\) | −10.5053 | − | 3.03360i | −0.894272 | − | 0.258237i | ||||
\(139\) | −3.01559 | − | 0.808026i | −0.255779 | − | 0.0685359i | 0.128651 | − | 0.991690i | \(-0.458935\pi\) |
−0.384430 | + | 0.923154i | \(0.625602\pi\) | |||||||
\(140\) | −7.83114 | − | 3.17315i | −0.661852 | − | 0.268180i | ||||
\(141\) | −0.115867 | + | 0.126101i | −0.00975779 | + | 0.0106196i | ||||
\(142\) | 5.55765 | − | 8.38753i | 0.466388 | − | 0.703866i | ||||
\(143\) | 14.6853 | 1.22805 | ||||||||
\(144\) | −11.2232 | + | 4.24726i | −0.935269 | + | 0.353939i | ||||
\(145\) | −4.84062 | −0.401992 | ||||||||
\(146\) | −8.13301 | + | 12.2742i | −0.673093 | + | 1.01582i | ||||
\(147\) | 4.14360 | + | 13.2047i | 0.341759 | + | 1.08910i | ||||
\(148\) | −6.41897 | + | 15.8416i | −0.527636 | + | 1.30217i | ||||
\(149\) | −14.4685 | − | 3.87683i | −1.18531 | − | 0.317602i | −0.388277 | − | 0.921543i | \(-0.626930\pi\) |
−0.797029 | + | 0.603941i | \(0.793596\pi\) | |||||||
\(150\) | −2.24042 | − | 9.05787i | −0.182930 | − | 0.739572i | ||||
\(151\) | −0.301388 | + | 0.522019i | −0.0245266 | + | 0.0424813i | −0.878028 | − | 0.478609i | \(-0.841141\pi\) |
0.853502 | + | 0.521090i | \(0.174475\pi\) | |||||||
\(152\) | 13.4034 | − | 9.18220i | 1.08716 | − | 0.744775i | ||||
\(153\) | −1.97701 | + | 4.20966i | −0.159832 | + | 0.340331i | ||||
\(154\) | 15.0011 | − | 13.2584i | 1.20882 | − | 1.06840i | ||||
\(155\) | 2.26295 | − | 0.606355i | 0.181764 | − | 0.0487036i | ||||
\(156\) | 1.12446 | − | 13.8674i | 0.0900293 | − | 1.11028i | ||||
\(157\) | 6.72554 | + | 1.80210i | 0.536756 | + | 0.143823i | 0.517006 | − | 0.855981i | \(-0.327046\pi\) |
0.0197500 | + | 0.999805i | \(0.493713\pi\) | |||||||
\(158\) | −10.3655 | − | 20.8162i | −0.824636 | − | 1.65605i | ||||
\(159\) | 3.55833 | − | 2.26009i | 0.282194 | − | 0.179237i | ||||
\(160\) | 6.16615 | + | 0.284744i | 0.487477 | + | 0.0225110i | ||||
\(161\) | − | 17.2834i | − | 1.36212i | ||||||
\(162\) | −1.36541 | − | 12.6545i | −0.107277 | − | 0.994229i | ||||
\(163\) | 7.73897 | + | 7.73897i | 0.606163 | + | 0.606163i | 0.941941 | − | 0.335778i | \(-0.108999\pi\) |
−0.335778 | + | 0.941941i | \(0.608999\pi\) | |||||||
\(164\) | −3.85012 | + | 5.09862i | −0.300644 | + | 0.398135i | ||||
\(165\) | −6.74477 | − | 1.50494i | −0.525079 | − | 0.117159i | ||||
\(166\) | −6.98687 | + | 20.8467i | −0.542287 | + | 1.61802i | ||||
\(167\) | 16.3533 | − | 9.44158i | 1.26546 | − | 0.730611i | 0.291331 | − | 0.956622i | \(-0.405902\pi\) |
0.974125 | + | 0.226011i | \(0.0725684\pi\) | |||||||
\(168\) | −11.3714 | − | 15.1808i | −0.877320 | − | 1.17123i | ||||
\(169\) | 2.71133 | + | 1.56539i | 0.208564 | + | 0.120414i | ||||
\(170\) | 1.79255 | − | 1.58431i | 0.137482 | − | 0.121511i | ||||
\(171\) | 5.84964 | + | 16.2093i | 0.447333 | + | 1.23956i | ||||
\(172\) | 9.00789 | − | 7.02316i | 0.686845 | − | 0.535511i | ||||
\(173\) | 16.3589 | − | 4.38336i | 1.24375 | − | 0.333261i | 0.423829 | − | 0.905742i | \(-0.360686\pi\) |
0.819918 | + | 0.572481i | \(0.194019\pi\) | |||||||
\(174\) | −9.30364 | − | 5.61386i | −0.705307 | − | 0.425586i | ||||
\(175\) | 12.7726 | − | 7.37428i | 0.965519 | − | 0.557443i | ||||
\(176\) | −7.11635 | + | 12.7776i | −0.536415 | + | 0.963148i | ||||
\(177\) | −11.1080 | + | 21.2673i | −0.834925 | + | 1.59854i | ||||
\(178\) | 13.2506 | + | 8.77998i | 0.993177 | + | 0.658088i | ||||
\(179\) | 4.85114 | − | 4.85114i | 0.362591 | − | 0.362591i | −0.502175 | − | 0.864766i | \(-0.667467\pi\) |
0.864766 | + | 0.502175i | \(0.167467\pi\) | |||||||
\(180\) | −1.93758 | + | 6.25388i | −0.144418 | + | 0.466137i | ||||
\(181\) | −1.98842 | − | 1.98842i | −0.147798 | − | 0.147798i | 0.629336 | − | 0.777134i | \(-0.283327\pi\) |
−0.777134 | + | 0.629336i | \(0.783327\pi\) | |||||||
\(182\) | 21.5518 | − | 4.37349i | 1.59753 | − | 0.324185i | ||||
\(183\) | 0.658891 | + | 15.5791i | 0.0487066 | + | 1.15164i | ||||
\(184\) | 4.19674 | + | 11.9083i | 0.309388 | + | 0.877888i | ||||
\(185\) | 4.66286 | + | 8.07631i | 0.342820 | + | 0.593782i | ||||
\(186\) | 5.05258 | + | 1.45902i | 0.370473 | + | 0.106981i | ||||
\(187\) | 1.46709 | + | 5.47525i | 0.107284 | + | 0.400390i | ||||
\(188\) | 0.196245 | + | 0.0242960i | 0.0143126 | + | 0.00177197i | ||||
\(189\) | 18.6180 | − | 7.62267i | 1.35426 | − | 0.554468i | ||||
\(190\) | 0.545598 | − | 8.84749i | 0.0395819 | − | 0.641864i | ||||
\(191\) | −10.1997 | + | 17.6664i | −0.738025 | + | 1.27830i | 0.215358 | + | 0.976535i | \(0.430908\pi\) |
−0.953383 | + | 0.301762i | \(0.902425\pi\) | |||||||
\(192\) | 11.5211 | + | 7.69840i | 0.831460 | + | 0.555584i | ||||
\(193\) | −8.30403 | − | 14.3830i | −0.597737 | − | 1.03531i | −0.993154 | − | 0.116809i | \(-0.962733\pi\) |
0.395417 | − | 0.918502i | \(-0.370600\pi\) | |||||||
\(194\) | −0.134900 | + | 0.0671741i | −0.00968526 | + | 0.00482282i | ||||
\(195\) | −5.58955 | − | 5.13593i | −0.400276 | − | 0.367792i | ||||
\(196\) | 9.63013 | − | 12.7529i | 0.687866 | − | 0.910923i | ||||
\(197\) | 2.03806 | − | 2.03806i | 0.145206 | − | 0.145206i | −0.630767 | − | 0.775972i | \(-0.717260\pi\) |
0.775972 | + | 0.630767i | \(0.217260\pi\) | |||||||
\(198\) | −11.2180 | − | 10.7147i | −0.797231 | − | 0.761457i | ||||
\(199\) | −9.19698 | −0.651956 | −0.325978 | − | 0.945377i | \(-0.605694\pi\) | ||||
−0.325978 | + | 0.945377i | \(0.605694\pi\) | |||||||
\(200\) | −7.00971 | + | 8.18230i | −0.495661 | + | 0.578576i | ||||
\(201\) | −0.779777 | + | 1.49296i | −0.0550012 | + | 0.105305i | ||||
\(202\) | −1.94651 | + | 5.80779i | −0.136956 | + | 0.408635i | ||||
\(203\) | 4.44529 | − | 16.5901i | 0.311999 | − | 1.16439i | ||||
\(204\) | 5.28265 | − | 0.966136i | 0.369859 | − | 0.0676431i | ||||
\(205\) | 0.902196 | + | 3.36704i | 0.0630121 | + | 0.235164i | ||||
\(206\) | −0.217722 | + | 3.53061i | −0.0151694 | + | 0.245989i | ||||
\(207\) | −13.3442 | + | 1.13077i | −0.927487 | + | 0.0785937i | ||||
\(208\) | −13.7872 | + | 8.24652i | −0.955971 | + | 0.571793i | ||||
\(209\) | 18.1892 | + | 10.5015i | 1.25817 | + | 0.726407i | ||||
\(210\) | −10.3467 | − | 0.199931i | −0.713988 | − | 0.0137966i | ||||
\(211\) | 3.99524 | − | 14.9104i | 0.275043 | − | 1.02648i | −0.680769 | − | 0.732498i | \(-0.738354\pi\) |
0.955812 | − | 0.293978i | \(-0.0949792\pi\) | |||||||
\(212\) | −4.51127 | − | 1.82795i | −0.309836 | − | 0.125544i | ||||
\(213\) | 2.68361 | − | 12.0273i | 0.183878 | − | 0.824096i | ||||
\(214\) | −2.39078 | − | 11.7813i | −0.163430 | − | 0.805356i | ||||
\(215\) | − | 6.23192i | − | 0.425013i | ||||||
\(216\) | −10.9769 | + | 9.77282i | −0.746882 | + | 0.664956i | ||||
\(217\) | 8.31254i | 0.564292i | ||||||||
\(218\) | −1.72675 | + | 0.350408i | −0.116950 | + | 0.0237326i | ||||
\(219\) | −3.92718 | + | 17.6006i | −0.265374 | + | 1.18934i | ||||
\(220\) | 3.11053 | + | 7.34848i | 0.209712 | + | 0.495435i | ||||
\(221\) | −1.61150 | + | 6.01418i | −0.108401 | + | 0.404558i | ||||
\(222\) | −0.404442 | + | 20.9303i | −0.0271444 | + | 1.40475i | ||||
\(223\) | −15.1760 | − | 8.76186i | −1.01626 | − | 0.586738i | −0.103241 | − | 0.994656i | \(-0.532921\pi\) |
−0.913018 | + | 0.407918i | \(0.866255\pi\) | |||||||
\(224\) | −6.63845 | + | 20.8715i | −0.443550 | + | 1.39453i | ||||
\(225\) | −6.52919 | − | 9.37904i | −0.435279 | − | 0.625270i | ||||
\(226\) | −3.47750 | − | 0.214447i | −0.231320 | − | 0.0142648i | ||||
\(227\) | 5.24944 | + | 19.5912i | 0.348418 | + | 1.30031i | 0.888568 | + | 0.458745i | \(0.151701\pi\) |
−0.540150 | + | 0.841569i | \(0.681633\pi\) | |||||||
\(228\) | 11.3094 | − | 16.3720i | 0.748985 | − | 1.08427i | ||||
\(229\) | −4.02901 | + | 15.0365i | −0.266244 | + | 0.993638i | 0.695240 | + | 0.718778i | \(0.255298\pi\) |
−0.961484 | + | 0.274860i | \(0.911369\pi\) | |||||||
\(230\) | 6.53169 | + | 2.18912i | 0.430687 | + | 0.144346i | ||||
\(231\) | 11.3517 | − | 21.7340i | 0.746890 | − | 1.42999i | ||||
\(232\) | 0.965579 | + | 12.5099i | 0.0633934 | + | 0.821318i | ||||
\(233\) | 27.1681 | 1.77984 | 0.889920 | − | 0.456116i | \(-0.150760\pi\) | ||||
0.889920 | + | 0.456116i | \(0.150760\pi\) | |||||||
\(234\) | −4.78672 | − | 16.3536i | −0.312917 | − | 1.06907i | ||||
\(235\) | 0.0762882 | − | 0.0762882i | 0.00497649 | − | 0.00497649i | ||||
\(236\) | 27.4394 | − | 3.82824i | 1.78615 | − | 0.249197i | ||||
\(237\) | −20.9717 | − | 19.2698i | −1.36226 | − | 1.25171i | ||||
\(238\) | 3.78368 | + | 7.59844i | 0.245259 | + | 0.492534i | ||||
\(239\) | −2.48037 | − | 4.29612i | −0.160442 | − | 0.277893i | 0.774586 | − | 0.632469i | \(-0.217959\pi\) |
−0.935027 | + | 0.354576i | \(0.884625\pi\) | |||||||
\(240\) | 7.17739 | − | 2.37461i | 0.463298 | − | 0.153281i | ||||
\(241\) | −4.93768 | + | 8.55231i | −0.318064 | + | 0.550903i | −0.980084 | − | 0.198583i | \(-0.936366\pi\) |
0.662020 | + | 0.749486i | \(0.269699\pi\) | |||||||
\(242\) | −3.34441 | − | 0.206240i | −0.214987 | − | 0.0132576i | ||||
\(243\) | −7.10341 | − | 13.8759i | −0.455684 | − | 0.890142i | ||||
\(244\) | 14.1994 | − | 11.0709i | 0.909026 | − | 0.708739i | ||||
\(245\) | −2.25662 | − | 8.42181i | −0.144170 | − | 0.538050i | ||||
\(246\) | −2.17088 | + | 7.51774i | −0.138410 | + | 0.479313i | ||||
\(247\) | 11.5352 | + | 19.9796i | 0.733968 | + | 1.27127i | ||||
\(248\) | −2.01844 | − | 5.72733i | −0.128171 | − | 0.363686i | ||||
\(249\) | 1.13785 | + | 26.9037i | 0.0721082 | + | 1.70495i | ||||
\(250\) | 2.70358 | + | 13.3228i | 0.170989 | + | 0.842607i | ||||
\(251\) | −1.77292 | − | 1.77292i | −0.111906 | − | 0.111906i | 0.648937 | − | 0.760842i | \(-0.275214\pi\) |
−0.760842 | + | 0.648937i | \(0.775214\pi\) | |||||||
\(252\) | −19.6543 | − | 12.3837i | −1.23811 | − | 0.780100i | ||||
\(253\) | −11.5416 | + | 11.5416i | −0.725613 | + | 0.725613i | ||||
\(254\) | −2.94256 | + | 4.44088i | −0.184633 | + | 0.278646i | ||||
\(255\) | 1.35647 | − | 2.59709i | 0.0849454 | − | 0.162636i | ||||
\(256\) | −0.494104 | − | 15.9924i | −0.0308815 | − | 0.999523i | ||||
\(257\) | 14.6473 | − | 8.45663i | 0.913674 | − | 0.527510i | 0.0320628 | − | 0.999486i | \(-0.489792\pi\) |
0.881612 | + | 0.471976i | \(0.156459\pi\) | |||||||
\(258\) | 7.22740 | − | 11.9777i | 0.449958 | − | 0.745698i | ||||
\(259\) | −31.9616 | + | 8.56410i | −1.98600 | + | 0.532147i | ||||
\(260\) | −1.07695 | + | 8.69873i | −0.0667893 | + | 0.539472i | ||||
\(261\) | −13.0997 | − | 2.34673i | −0.810852 | − | 0.145259i | ||||
\(262\) | −1.24753 | − | 1.41150i | −0.0770724 | − | 0.0872028i | ||||
\(263\) | −17.9408 | − | 10.3581i | −1.10627 | − | 0.638708i | −0.168413 | − | 0.985717i | \(-0.553864\pi\) |
−0.937862 | + | 0.347009i | \(0.887197\pi\) | |||||||
\(264\) | −2.54391 | + | 17.7311i | −0.156567 | + | 1.09128i | ||||
\(265\) | −2.29992 | + | 1.32786i | −0.141283 | + | 0.0815696i | ||||
\(266\) | 29.8216 | + | 9.99483i | 1.82848 | + | 0.612822i | ||||
\(267\) | 19.0007 | + | 4.23958i | 1.16282 | + | 0.259458i | ||||
\(268\) | 1.92624 | − | 0.268742i | 0.117664 | − | 0.0164160i | ||||
\(269\) | −15.1523 | − | 15.1523i | −0.923853 | − | 0.923853i | 0.0734463 | − | 0.997299i | \(-0.476600\pi\) |
−0.997299 | + | 0.0734463i | \(0.976600\pi\) | |||||||
\(270\) | 0.522566 | + | 8.00155i | 0.0318024 | + | 0.486959i | ||||
\(271\) | − | 20.0322i | − | 1.21687i | −0.793603 | − | 0.608436i | \(-0.791797\pi\) | ||
0.793603 | − | 0.608436i | \(-0.208203\pi\) | |||||||
\(272\) | −4.45200 | − | 4.31657i | −0.269942 | − | 0.261731i | ||||
\(273\) | 22.7352 | − | 14.4403i | 1.37600 | − | 0.873969i | ||||
\(274\) | 14.1703 | − | 7.05617i | 0.856060 | − | 0.426279i | ||||
\(275\) | −13.4538 | − | 3.60493i | −0.811293 | − | 0.217385i | ||||
\(276\) | 10.0150 | + | 11.7825i | 0.602834 | + | 0.709225i | ||||
\(277\) | 26.8731 | − | 7.20063i | 1.61465 | − | 0.432644i | 0.665226 | − | 0.746642i | \(-0.268335\pi\) |
0.949424 | + | 0.313998i | \(0.101669\pi\) | |||||||
\(278\) | 2.92389 | + | 3.30821i | 0.175364 | + | 0.198413i | ||||
\(279\) | 6.41796 | − | 0.543847i | 0.384233 | − | 0.0325593i | ||||
\(280\) | 6.75344 | + | 9.85811i | 0.403595 | + | 0.589135i | ||||
\(281\) | 8.83494 | − | 15.3026i | 0.527048 | − | 0.912874i | −0.472455 | − | 0.881355i | \(-0.656632\pi\) |
0.999503 | − | 0.0315195i | \(-0.0100346\pi\) | |||||||
\(282\) | 0.235100 | − | 0.0581508i | 0.0140000 | − | 0.00346283i | ||||
\(283\) | −23.5142 | − | 6.30060i | −1.39777 | − | 0.374532i | −0.520228 | − | 0.854028i | \(-0.674153\pi\) |
−0.877544 | + | 0.479496i | \(0.840820\pi\) | |||||||
\(284\) | −13.1038 | + | 5.54671i | −0.777569 | + | 0.329137i | ||||
\(285\) | −3.25048 | − | 10.3585i | −0.192542 | − | 0.613583i | ||||
\(286\) | −17.3125 | − | 11.4714i | −1.02371 | − | 0.678319i | ||||
\(287\) | −12.3682 | −0.730074 | ||||||||
\(288\) | 16.5488 | + | 3.75991i | 0.975148 | + | 0.221555i | ||||
\(289\) | 14.5967 | 0.858629 | ||||||||
\(290\) | 5.70661 | + | 3.78125i | 0.335104 | + | 0.222043i | ||||
\(291\) | −0.124878 | + | 0.135908i | −0.00732050 | + | 0.00796706i | ||||
\(292\) | 19.1760 | − | 8.11700i | 1.12219 | − | 0.475012i | ||||
\(293\) | −5.03527 | − | 1.34920i | −0.294164 | − | 0.0788209i | 0.108719 | − | 0.994073i | \(-0.465325\pi\) |
−0.402883 | + | 0.915252i | \(0.631992\pi\) | |||||||
\(294\) | 5.42991 | − | 18.8037i | 0.316679 | − | 1.09666i | ||||
\(295\) | 7.55792 | − | 13.0907i | 0.440039 | − | 0.762170i | ||||
\(296\) | 19.9420 | − | 13.6615i | 1.15911 | − | 0.794061i | ||||
\(297\) | −17.5231 | − | 7.34253i | −1.01679 | − | 0.426057i | ||||
\(298\) | 14.0286 | + | 15.8725i | 0.812652 | + | 0.919467i | ||||
\(299\) | −17.3180 | + | 4.64033i | −1.00152 | + | 0.268357i | ||||
\(300\) | −4.43432 | + | 12.4284i | −0.256015 | + | 0.717556i | ||||
\(301\) | 21.3584 | + | 5.72296i | 1.23108 | + | 0.329866i | ||||
\(302\) | 0.763080 | − | 0.379979i | 0.0439103 | − | 0.0218653i | ||||
\(303\) | 0.316999 | + | 7.49524i | 0.0182111 | + | 0.430590i | ||||
\(304\) | −22.9740 | + | 0.354820i | −1.31765 | + | 0.0203503i | ||||
\(305\) | − | 9.82358i | − | 0.562497i | ||||||
\(306\) | 5.61907 | − | 3.41844i | 0.321221 | − | 0.195419i | ||||
\(307\) | 2.82663 | + | 2.82663i | 0.161324 | + | 0.161324i | 0.783153 | − | 0.621829i | \(-0.213610\pi\) |
−0.621829 | + | 0.783153i | \(0.713610\pi\) | |||||||
\(308\) | −28.0416 | + | 3.91226i | −1.59782 | + | 0.222922i | ||||
\(309\) | 1.29711 | + | 4.13357i | 0.0737899 | + | 0.235150i | ||||
\(310\) | −3.14144 | − | 1.05287i | −0.178422 | − | 0.0597989i | ||||
\(311\) | −2.51789 | + | 1.45371i | −0.142777 | + | 0.0824322i | −0.569687 | − | 0.821862i | \(-0.692935\pi\) |
0.426910 | + | 0.904294i | \(0.359602\pi\) | |||||||
\(312\) | −12.1581 | + | 15.4699i | −0.688319 | + | 0.875811i | ||||
\(313\) | 18.0136 | + | 10.4002i | 1.01819 | + | 0.587852i | 0.913579 | − | 0.406661i | \(-0.133307\pi\) |
0.104611 | + | 0.994513i | \(0.466640\pi\) | |||||||
\(314\) | −6.52103 | − | 7.37815i | −0.368003 | − | 0.416373i | ||||
\(315\) | −11.9218 | + | 4.30237i | −0.671719 | + | 0.242411i | ||||
\(316\) | −4.04065 | + | 32.6372i | −0.227304 | + | 1.83599i | ||||
\(317\) | −10.1525 | + | 2.72034i | −0.570219 | + | 0.152790i | −0.532397 | − | 0.846495i | \(-0.678709\pi\) |
−0.0378219 | + | 0.999284i | \(0.512042\pi\) | |||||||
\(318\) | −5.96039 | − | 0.115174i | −0.334242 | − | 0.00645865i | ||||
\(319\) | −14.0471 | + | 8.11008i | −0.786485 | + | 0.454077i | ||||
\(320\) | −7.04684 | − | 5.15237i | −0.393931 | − | 0.288026i | ||||
\(321\) | −7.89383 | − | 12.4282i | −0.440591 | − | 0.693677i | ||||
\(322\) | −13.5009 | + | 20.3754i | −0.752378 | + | 1.13548i | ||||
\(323\) | −6.29678 | + | 6.29678i | −0.350362 | + | 0.350362i | ||||
\(324\) | −8.27535 | + | 15.9849i | −0.459742 | + | 0.888053i | ||||
\(325\) | −10.8183 | − | 10.8183i | −0.600089 | − | 0.600089i | ||||
\(326\) | −3.07818 | − | 15.1688i | −0.170485 | − | 0.840120i | ||||
\(327\) | −1.82157 | + | 1.15697i | −0.100733 | + | 0.0639807i | ||||
\(328\) | 8.52170 | − | 3.00324i | 0.470532 | − | 0.165826i | ||||
\(329\) | 0.191401 | + | 0.331517i | 0.0105523 | + | 0.0182771i | ||||
\(330\) | 6.77582 | + | 7.04284i | 0.372997 | + | 0.387696i | ||||
\(331\) | −1.99815 | − | 7.45721i | −0.109828 | − | 0.409885i | 0.889020 | − | 0.457869i | \(-0.151387\pi\) |
−0.998848 | + | 0.0479837i | \(0.984720\pi\) | |||||||
\(332\) | 24.5212 | − | 19.1184i | 1.34578 | − | 1.04926i | ||||
\(333\) | 8.70327 | + | 24.1167i | 0.476936 | + | 1.32159i | ||||
\(334\) | −26.6542 | − | 1.64369i | −1.45845 | − | 0.0899384i | ||||
\(335\) | 0.530565 | − | 0.918966i | 0.0289879 | − | 0.0502085i | ||||
\(336\) | 1.54720 | + | 26.7794i | 0.0844065 | + | 1.46094i | ||||
\(337\) | −15.1525 | − | 26.2448i | −0.825407 | − | 1.42965i | −0.901608 | − | 0.432554i | \(-0.857613\pi\) |
0.0762015 | − | 0.997092i | \(-0.475721\pi\) | |||||||
\(338\) | −1.97358 | − | 3.96338i | −0.107349 | − | 0.215580i | ||||
\(339\) | −4.07139 | + | 1.27760i | −0.221128 | + | 0.0693896i | ||||
\(340\) | −3.35082 | + | 0.467493i | −0.181724 | + | 0.0253534i | ||||
\(341\) | 5.55098 | − | 5.55098i | 0.300602 | − | 0.300602i | ||||
\(342\) | 5.76575 | − | 23.6786i | 0.311776 | − | 1.28039i | ||||
\(343\) | 3.83397 | 0.207015 | ||||||||
\(344\) | −16.1055 | + | 1.24311i | −0.868352 | + | 0.0670238i | ||||
\(345\) | 8.42945 | − | 0.356510i | 0.453827 | − | 0.0191939i | ||||
\(346\) | −22.7096 | − | 7.61122i | −1.22088 | − | 0.409182i | ||||
\(347\) | −7.40762 | + | 27.6456i | −0.397662 | + | 1.48409i | 0.419537 | + | 0.907738i | \(0.362192\pi\) |
−0.817199 | + | 0.576356i | \(0.804474\pi\) | |||||||
\(348\) | 6.58279 | + | 13.8857i | 0.352875 | + | 0.744352i | ||||
\(349\) | −1.32426 | − | 4.94221i | −0.0708861 | − | 0.264551i | 0.921383 | − | 0.388656i | \(-0.127061\pi\) |
−0.992269 | + | 0.124105i | \(0.960394\pi\) | |||||||
\(350\) | −20.8181 | − | 1.28379i | −1.11277 | − | 0.0686213i | ||||
\(351\) | −12.6366 | − | 16.6087i | −0.674490 | − | 0.886506i | ||||
\(352\) | 18.3707 | − | 9.50458i | 0.979161 | − | 0.506596i | ||||
\(353\) | 10.6375 | + | 6.14156i | 0.566176 | + | 0.326882i | 0.755621 | − | 0.655009i | \(-0.227335\pi\) |
−0.189444 | + | 0.981891i | \(0.560669\pi\) | |||||||
\(354\) | 29.7081 | − | 16.3950i | 1.57897 | − | 0.871384i | ||||
\(355\) | −2.00935 | + | 7.49899i | −0.106645 | + | 0.398005i | ||||
\(356\) | −8.76270 | − | 20.7014i | −0.464422 | − | 1.09717i | ||||
\(357\) | 7.65521 | + | 7.03396i | 0.405157 | + | 0.372277i | ||||
\(358\) | −9.50847 | + | 1.92954i | −0.502538 | + | 0.101980i | ||||
\(359\) | 8.35783i | 0.441109i | 0.975375 | + | 0.220555i | \(0.0707867\pi\) | ||||
−0.975375 | + | 0.220555i | \(0.929213\pi\) | |||||||
\(360\) | 7.16943 | − | 5.85917i | 0.377862 | − | 0.308805i | ||||
\(361\) | 13.9956i | 0.736609i | ||||||||
\(362\) | 0.790894 | + | 3.89739i | 0.0415685 | + | 0.204842i | ||||
\(363\) | −3.91557 | + | 1.22870i | −0.205514 | + | 0.0644901i | ||||
\(364\) | −28.8238 | − | 11.6793i | −1.51078 | − | 0.612161i | ||||
\(365\) | 2.94046 | − | 10.9739i | 0.153911 | − | 0.574403i | ||||
\(366\) | 11.3928 | − | 18.8808i | 0.595511 | − | 0.986917i | ||||
\(367\) | 5.59831 | + | 3.23218i | 0.292229 | + | 0.168719i | 0.638947 | − | 0.769251i | \(-0.279370\pi\) |
−0.346718 | + | 0.937970i | \(0.612704\pi\) | |||||||
\(368\) | 4.35459 | − | 17.3169i | 0.226999 | − | 0.902707i | ||||
\(369\) | 0.809190 | + | 9.54928i | 0.0421248 | + | 0.497116i | ||||
\(370\) | 0.811757 | − | 13.1636i | 0.0422012 | − | 0.684340i | ||||
\(371\) | −2.43882 | − | 9.10182i | −0.126617 | − | 0.472543i | ||||
\(372\) | −4.81678 | − | 5.66686i | −0.249738 | − | 0.293813i | ||||
\(373\) | −3.08351 | + | 11.5078i | −0.159658 | + | 0.595853i | 0.839003 | + | 0.544127i | \(0.183139\pi\) |
−0.998661 | + | 0.0517262i | \(0.983528\pi\) | |||||||
\(374\) | 2.54744 | − | 7.60079i | 0.131725 | − | 0.393028i | ||||
\(375\) | 8.92664 | + | 14.0543i | 0.460970 | + | 0.725762i | ||||
\(376\) | −0.212374 | − | 0.181939i | −0.0109524 | − | 0.00938278i | ||||
\(377\) | −17.8167 | −0.917607 | ||||||||
\(378\) | −27.9033 | − | 5.55710i | −1.43519 | − | 0.285826i | ||||
\(379\) | 7.76444 | − | 7.76444i | 0.398833 | − | 0.398833i | −0.478988 | − | 0.877821i | \(-0.658996\pi\) |
0.877821 | + | 0.478988i | \(0.158996\pi\) | |||||||
\(380\) | −7.55442 | + | 10.0041i | −0.387533 | + | 0.513200i | ||||
\(381\) | −1.42087 | + | 6.36799i | −0.0727935 | + | 0.326242i | ||||
\(382\) | 25.8246 | − | 12.8594i | 1.32130 | − | 0.657947i | ||||
\(383\) | 2.86264 | + | 4.95824i | 0.146274 | + | 0.253354i | 0.929848 | − | 0.367945i | \(-0.119939\pi\) |
−0.783573 | + | 0.621299i | \(0.786605\pi\) | |||||||
\(384\) | −7.56857 | − | 18.0753i | −0.386232 | − | 0.922402i | ||||
\(385\) | −7.72380 | + | 13.3780i | −0.393641 | + | 0.681807i | ||||
\(386\) | −1.44565 | + | 23.4428i | −0.0735816 | + | 1.19321i | ||||
\(387\) | 3.02122 | − | 16.8648i | 0.153577 | − | 0.857288i | ||||
\(388\) | 0.211507 | + | 0.0261856i | 0.0107376 | + | 0.00132937i | ||||
\(389\) | 1.82769 | + | 6.82104i | 0.0926677 | + | 0.345841i | 0.996656 | − | 0.0817177i | \(-0.0260406\pi\) |
−0.903988 | + | 0.427558i | \(0.859374\pi\) | |||||||
\(390\) | 2.57759 | + | 10.4210i | 0.130521 | + | 0.527689i | ||||
\(391\) | −3.46020 | − | 5.99324i | −0.174990 | − | 0.303091i | ||||
\(392\) | −21.3149 | + | 7.51186i | −1.07656 | + | 0.379406i | ||||
\(393\) | −2.04502 | − | 1.06812i | −0.103158 | − | 0.0538795i | ||||
\(394\) | −3.99469 | + | 0.810639i | −0.201250 | + | 0.0408394i | ||||
\(395\) | 12.6874 | + | 12.6874i | 0.638373 | + | 0.638373i | ||||
\(396\) | 4.85520 | + | 21.3945i | 0.243983 | + | 1.07511i | ||||
\(397\) | −1.86429 | + | 1.86429i | −0.0935661 | + | 0.0935661i | −0.752340 | − | 0.658774i | \(-0.771075\pi\) |
0.658774 | + | 0.752340i | \(0.271075\pi\) | |||||||
\(398\) | 10.8423 | + | 7.18421i | 0.543476 | + | 0.360112i | ||||
\(399\) | 38.4862 | − | 1.62771i | 1.92672 | − | 0.0814874i | ||||
\(400\) | 14.6553 | − | 4.17049i | 0.732767 | − | 0.208524i | ||||
\(401\) | −34.3098 | + | 19.8088i | −1.71335 | + | 0.989204i | −0.783402 | + | 0.621516i | \(0.786517\pi\) |
−0.929949 | + | 0.367688i | \(0.880149\pi\) | |||||||
\(402\) | 2.08550 | − | 1.15093i | 0.104015 | − | 0.0574030i | ||||
\(403\) | 8.32915 | − | 2.23179i | 0.414905 | − | 0.111173i | ||||
\(404\) | 6.83149 | − | 5.32630i | 0.339879 | − | 0.264993i | ||||
\(405\) | 4.10176 | + | 8.92314i | 0.203818 | + | 0.443394i | ||||
\(406\) | −18.1999 | + | 16.0856i | −0.903245 | + | 0.798315i | ||||
\(407\) | 27.0624 | + | 15.6245i | 1.34143 | + | 0.774477i | ||||
\(408\) | −6.98241 | − | 2.98756i | −0.345681 | − | 0.147906i | ||||
\(409\) | 19.5426 | − | 11.2829i | 0.966317 | − | 0.557903i | 0.0682056 | − | 0.997671i | \(-0.478273\pi\) |
0.898111 | + | 0.439768i | \(0.144939\pi\) | |||||||
\(410\) | 1.56656 | − | 4.67416i | 0.0773670 | − | 0.230840i | ||||
\(411\) | 13.1176 | − | 14.2762i | 0.647044 | − | 0.704192i | ||||
\(412\) | 3.01460 | − | 3.99216i | 0.148519 | − | 0.196680i | ||||
\(413\) | 37.9245 | + | 37.9245i | 1.86614 | + | 1.86614i | ||||
\(414\) | 16.6148 | + | 9.09076i | 0.816573 | + | 0.446787i | ||||
\(415\) | − | 16.9645i | − | 0.832755i | ||||||
\(416\) | 22.6955 | + | 1.04805i | 1.11274 | + | 0.0513847i | ||||
\(417\) | 4.79302 | + | 2.50341i | 0.234715 | + | 0.122593i | ||||
\(418\) | −13.2400 | − | 26.5887i | −0.647589 | − | 1.30050i | ||||
\(419\) | −0.541167 | − | 0.145005i | −0.0264377 | − | 0.00708397i | 0.245576 | − | 0.969377i | \(-0.421023\pi\) |
−0.272014 | + | 0.962293i | \(0.587690\pi\) | |||||||
\(420\) | 12.0415 | + | 8.31799i | 0.587566 | + | 0.405876i | ||||
\(421\) | 21.1102 | − | 5.65647i | 1.02885 | − | 0.275679i | 0.295364 | − | 0.955385i | \(-0.404559\pi\) |
0.733485 | + | 0.679706i | \(0.237892\pi\) | |||||||
\(422\) | −16.3573 | + | 14.4570i | −0.796259 | + | 0.703757i | ||||
\(423\) | 0.243436 | − | 0.169467i | 0.0118363 | − | 0.00823977i | ||||
\(424\) | 3.89044 | + | 5.67895i | 0.188936 | + | 0.275794i | ||||
\(425\) | 2.95271 | − | 5.11424i | 0.143227 | − | 0.248077i | ||||
\(426\) | −12.5588 | + | 12.0827i | −0.608477 | + | 0.585407i | ||||
\(427\) | 33.6680 | + | 9.02130i | 1.62931 | + | 0.436571i | ||||
\(428\) | −6.38450 | + | 15.7566i | −0.308606 | + | 0.761623i | ||||
\(429\) | −24.8252 | − | 5.53918i | −1.19857 | − | 0.267434i | ||||
\(430\) | −4.86806 | + | 7.34681i | −0.234759 | + | 0.354294i | ||||
\(431\) | −8.09784 | −0.390059 | −0.195030 | − | 0.980797i | \(-0.562480\pi\) | ||||
−0.195030 | + | 0.980797i | \(0.562480\pi\) | |||||||
\(432\) | 20.5747 | − | 2.94660i | 0.989900 | − | 0.141769i | ||||
\(433\) | 28.0379 | 1.34742 | 0.673708 | − | 0.738997i | \(-0.264700\pi\) | ||||
0.673708 | + | 0.738997i | \(0.264700\pi\) | |||||||
\(434\) | 6.49334 | − | 9.79966i | 0.311690 | − | 0.470399i | ||||
\(435\) | 8.18298 | + | 1.82585i | 0.392344 | + | 0.0875426i | ||||
\(436\) | 2.30939 | + | 0.935755i | 0.110600 | + | 0.0448145i | ||||
\(437\) | −24.7683 | − | 6.63666i | −1.18483 | − | 0.317474i | ||||
\(438\) | 18.3785 | − | 17.6817i | 0.878157 | − | 0.844862i | ||||
\(439\) | 14.3003 | − | 24.7689i | 0.682518 | − | 1.18216i | −0.291692 | − | 0.956512i | \(-0.594218\pi\) |
0.974210 | − | 0.225644i | \(-0.0724485\pi\) | |||||||
\(440\) | 2.07325 | − | 11.0929i | 0.0988385 | − | 0.528834i | ||||
\(441\) | −2.02399 | − | 23.8851i | −0.0963803 | − | 1.13739i | ||||
\(442\) | 6.59777 | − | 5.83130i | 0.313824 | − | 0.277367i | ||||
\(443\) | −6.49785 | + | 1.74109i | −0.308722 | + | 0.0827218i | −0.409854 | − | 0.912151i | \(-0.634420\pi\) |
0.101132 | + | 0.994873i | \(0.467754\pi\) | |||||||
\(444\) | 16.8265 | − | 24.3588i | 0.798550 | − | 1.15602i | ||||
\(445\) | −11.8469 | − | 3.17437i | −0.561597 | − | 0.150479i | ||||
\(446\) | 11.0467 | + | 22.1841i | 0.523074 | + | 1.05045i | ||||
\(447\) | 22.9964 | + | 12.0111i | 1.08769 | + | 0.568106i | ||||
\(448\) | 24.1298 | − | 19.4198i | 1.14003 | − | 0.917498i | ||||
\(449\) | 34.1293i | 1.61066i | 0.592827 | + | 0.805330i | \(0.298012\pi\) | ||||
−0.592827 | + | 0.805330i | \(0.701988\pi\) | |||||||
\(450\) | 0.370830 | + | 16.1572i | 0.0174811 | + | 0.761659i | ||||
\(451\) | 8.25930 | + | 8.25930i | 0.388915 | + | 0.388915i | ||||
\(452\) | 3.93211 | + | 2.96926i | 0.184951 | + | 0.139662i | ||||
\(453\) | 0.706391 | − | 0.768781i | 0.0331892 | − | 0.0361205i | ||||
\(454\) | 9.11508 | − | 27.1967i | 0.427792 | − | 1.27640i | ||||
\(455\) | −14.6948 | + | 8.48405i | −0.688903 | + | 0.397739i | ||||
\(456\) | −26.1217 | + | 10.4667i | −1.22326 | + | 0.490146i | ||||
\(457\) | 0.228748 | + | 0.132067i | 0.0107004 | + | 0.00617786i | 0.505341 | − | 0.862920i | \(-0.331367\pi\) |
−0.494640 | + | 0.869098i | \(0.664700\pi\) | |||||||
\(458\) | 16.4955 | − | 14.5792i | 0.770785 | − | 0.681243i | ||||
\(459\) | 4.92995 | − | 6.37064i | 0.230110 | − | 0.297356i | ||||
\(460\) | −5.99018 | − | 7.68298i | −0.279293 | − | 0.358221i | ||||
\(461\) | 22.1554 | − | 5.93653i | 1.03188 | − | 0.276492i | 0.297136 | − | 0.954835i | \(-0.403968\pi\) |
0.734745 | + | 0.678343i | \(0.237302\pi\) | |||||||
\(462\) | −30.3601 | + | 16.7548i | −1.41248 | + | 0.779505i | ||||
\(463\) | −25.1678 | + | 14.5306i | −1.16964 | + | 0.675295i | −0.953596 | − | 0.301088i | \(-0.902650\pi\) |
−0.216048 | + | 0.976383i | \(0.569317\pi\) | |||||||
\(464\) | 8.63381 | − | 15.5022i | 0.400814 | − | 0.719673i | ||||
\(465\) | −4.05418 | + | 0.171465i | −0.188008 | + | 0.00795150i | ||||
\(466\) | −32.0285 | − | 21.2223i | −1.48369 | − | 0.983106i | ||||
\(467\) | 1.46976 | − | 1.46976i | 0.0680123 | − | 0.0680123i | −0.672282 | − | 0.740295i | \(-0.734686\pi\) |
0.740295 | + | 0.672282i | \(0.234686\pi\) | |||||||
\(468\) | −7.13156 | + | 23.0184i | −0.329657 | + | 1.06403i | ||||
\(469\) | 2.66230 | + | 2.66230i | 0.122934 | + | 0.122934i | ||||
\(470\) | −0.149529 | + | 0.0303437i | −0.00689724 | + | 0.00139965i | ||||
\(471\) | −10.6897 | − | 5.58324i | −0.492553 | − | 0.257262i | ||||
\(472\) | −35.3388 | − | 16.9212i | −1.62660 | − | 0.778860i | ||||
\(473\) | −10.4411 | − | 18.0845i | −0.480081 | − | 0.831525i | ||||
\(474\) | 9.67100 | + | 39.0992i | 0.444204 | + | 1.79588i | ||||
\(475\) | −5.66329 | − | 21.1357i | −0.259850 | − | 0.969772i | ||||
\(476\) | 1.47494 | − | 11.9134i | 0.0676038 | − | 0.546051i | ||||
\(477\) | −6.86778 | + | 2.47846i | −0.314454 | + | 0.113481i | ||||
\(478\) | −0.431807 | + | 7.00224i | −0.0197504 | + | 0.320275i | ||||
\(479\) | −11.8147 | + | 20.4636i | −0.539826 | + | 0.935006i | 0.459087 | + | 0.888391i | \(0.348177\pi\) |
−0.998913 | + | 0.0466149i | \(0.985157\pi\) | |||||||
\(480\) | −10.3164 | − | 2.80718i | −0.470875 | − | 0.128130i | ||||
\(481\) | 17.1624 | + | 29.7262i | 0.782539 | + | 1.35540i | ||||
\(482\) | 12.5017 | − | 6.22526i | 0.569435 | − | 0.283553i | ||||
\(483\) | −6.51918 | + | 29.2173i | −0.296633 | + | 1.32943i | ||||
\(484\) | 3.78162 | + | 2.85562i | 0.171892 | + | 0.129801i | ||||
\(485\) | 0.0822212 | − | 0.0822212i | 0.00373347 | − | 0.00373347i | ||||
\(486\) | −2.46497 | + | 21.9072i | −0.111813 | + | 0.993729i | ||||
\(487\) | −8.44298 | −0.382588 | −0.191294 | − | 0.981533i | \(-0.561268\pi\) | ||||
−0.191294 | + | 0.981533i | \(0.561268\pi\) | |||||||
\(488\) | −25.3877 | + | 1.95955i | −1.14925 | + | 0.0887047i | ||||
\(489\) | −10.1635 | − | 16.0017i | −0.459610 | − | 0.723620i | ||||
\(490\) | −3.91837 | + | 11.6912i | −0.177014 | + | 0.528156i | ||||
\(491\) | 1.32013 | − | 4.92678i | 0.0595765 | − | 0.222342i | −0.929719 | − | 0.368270i | \(-0.879950\pi\) |
0.989295 | + | 0.145928i | \(0.0466167\pi\) | |||||||
\(492\) | 8.43172 | − | 7.16688i | 0.380131 | − | 0.323108i | ||||
\(493\) | −1.77992 | − | 6.64277i | −0.0801638 | − | 0.299175i | ||||
\(494\) | 2.00816 | − | 32.5646i | 0.0903516 | − | 1.46515i | ||||
\(495\) | 10.8342 | + | 5.08815i | 0.486963 | + | 0.228695i | ||||
\(496\) | −2.09436 | + | 8.32866i | −0.0940395 | + | 0.373968i | ||||
\(497\) | −23.8557 | − | 13.7731i | −1.07007 | − | 0.617808i | ||||
\(498\) | 19.6744 | − | 32.6056i | 0.881631 | − | 1.46109i | ||||
\(499\) | 5.34256 | − | 19.9387i | 0.239166 | − | 0.892579i | −0.737061 | − | 0.675827i | \(-0.763787\pi\) |
0.976227 | − | 0.216753i | \(-0.0695465\pi\) | |||||||
\(500\) | 7.21983 | − | 17.8181i | 0.322881 | − | 0.796851i | ||||
\(501\) | −31.2062 | + | 9.79247i | −1.39419 | + | 0.437495i | ||||
\(502\) | 0.705181 | + | 3.47501i | 0.0314738 | + | 0.155097i | ||||
\(503\) | 25.8852i | 1.15417i | 0.816686 | + | 0.577083i | \(0.195809\pi\) | ||||
−0.816686 | + | 0.577083i | \(0.804191\pi\) | |||||||
\(504\) | 13.4970 | + | 29.9521i | 0.601203 | + | 1.33417i | ||||
\(505\) | − | 4.72622i | − | 0.210314i | ||||||
\(506\) | 22.6221 | − | 4.59068i | 1.00567 | − | 0.204080i | ||||
\(507\) | −3.99299 | − | 3.66895i | −0.177335 | − | 0.162944i | ||||
\(508\) | 6.93798 | − | 2.93677i | 0.307823 | − | 0.130298i | ||||
\(509\) | 3.39138 | − | 12.6568i | 0.150320 | − | 0.561003i | −0.849140 | − | 0.528167i | \(-0.822879\pi\) |
0.999461 | − | 0.0328359i | \(-0.0104539\pi\) | |||||||
\(510\) | −3.62786 | + | 2.00211i | −0.160644 | + | 0.0886548i | ||||
\(511\) | 34.9102 | + | 20.1554i | 1.54434 | + | 0.891623i | ||||
\(512\) | −11.9099 | + | 19.2394i | −0.526349 | + | 0.850268i | ||||
\(513\) | −3.77468 | − | 29.6080i | −0.166656 | − | 1.30722i | ||||
\(514\) | −23.8736 | − | 1.47221i | −1.05302 | − | 0.0649366i | ||||
\(515\) | −0.706409 | − | 2.63635i | −0.0311281 | − | 0.116172i | ||||
\(516\) | −17.8767 | + | 8.47482i | −0.786980 | + | 0.373083i | ||||
\(517\) | 0.0935669 | − | 0.349196i | 0.00411507 | − | 0.0153576i | ||||
\(518\) | 44.3694 | + | 14.8706i | 1.94948 | + | 0.653377i | ||||
\(519\) | −29.3078 | + | 1.23953i | −1.28647 | + | 0.0544092i | ||||
\(520\) | 8.06462 | − | 9.41368i | 0.353657 | − | 0.412817i | ||||
\(521\) | −15.9529 | −0.698909 | −0.349454 | − | 0.936953i | \(-0.613633\pi\) | ||||
−0.349454 | + | 0.936953i | \(0.613633\pi\) | |||||||
\(522\) | 13.6101 | + | 12.9994i | 0.595699 | + | 0.568968i | ||||
\(523\) | 8.00417 | − | 8.00417i | 0.349998 | − | 0.349998i | −0.510111 | − | 0.860109i | \(-0.670396\pi\) |
0.860109 | + | 0.510111i | \(0.170396\pi\) | |||||||
\(524\) | 0.368116 | + | 2.63852i | 0.0160812 | + | 0.115264i | ||||
\(525\) | −24.3734 | + | 7.64834i | −1.06374 | + | 0.333801i | ||||
\(526\) | 13.0591 | + | 26.2256i | 0.569406 | + | 1.14349i | ||||
\(527\) | 1.66420 | + | 2.88247i | 0.0724936 | + | 0.125563i | ||||
\(528\) | 16.8497 | − | 18.9161i | 0.733288 | − | 0.823216i | ||||
\(529\) | −1.53630 | + | 2.66094i | −0.0667955 | + | 0.115693i | ||||
\(530\) | 3.74863 | + | 0.231167i | 0.162830 | + | 0.0100412i | ||||
\(531\) | 26.7996 | − | 31.7620i | 1.16300 | − | 1.37836i | ||||
\(532\) | −27.3492 | − | 35.0780i | −1.18574 | − | 1.52082i | ||||
\(533\) | 3.32068 | + | 12.3929i | 0.143835 | + | 0.536798i | ||||
\(534\) | −19.0882 | − | 19.8404i | −0.826027 | − | 0.858579i | ||||
\(535\) | 4.63782 | + | 8.03294i | 0.200511 | + | 0.347294i | ||||
\(536\) | −2.48078 | − | 1.18786i | −0.107153 | − | 0.0513079i | ||||
\(537\) | −10.0306 | + | 6.37095i | −0.432851 | + | 0.274927i | ||||
\(538\) | 6.02685 | + | 29.6993i | 0.259836 | + | 1.28043i | ||||
\(539\) | −20.6586 | − | 20.6586i | −0.889828 | − | 0.889828i | ||||
\(540\) | 5.63435 | − | 9.84123i | 0.242464 | − | 0.423499i | ||||
\(541\) | −16.5746 | + | 16.5746i | −0.712599 | + | 0.712599i | −0.967078 | − | 0.254479i | \(-0.918096\pi\) |
0.254479 | + | 0.967078i | \(0.418096\pi\) | |||||||
\(542\) | −15.6482 | + | 23.6160i | −0.672146 | + | 1.01439i | ||||
\(543\) | 2.61136 | + | 4.11139i | 0.112064 | + | 0.176437i | ||||
\(544\) | 1.87657 | + | 8.56648i | 0.0804574 | + | 0.367285i | ||||
\(545\) | 1.17736 | − | 0.679750i | 0.0504326 | − | 0.0291173i | ||||
\(546\) | −38.0826 | − | 0.735880i | −1.62978 | − | 0.0314928i | ||||
\(547\) | 3.72043 | − | 0.996886i | 0.159074 | − | 0.0426238i | −0.178403 | − | 0.983957i | \(-0.557093\pi\) |
0.337477 | + | 0.941334i | \(0.390426\pi\) | |||||||
\(548\) | −22.2173 | − | 2.75061i | −0.949076 | − | 0.117500i | ||||
\(549\) | 4.76246 | − | 26.5846i | 0.203257 | − | 1.13460i | ||||
\(550\) | 13.0447 | + | 14.7592i | 0.556226 | + | 0.629336i | ||||
\(551\) | −22.0678 | − | 12.7408i | −0.940118 | − | 0.542778i | ||||
\(552\) | −2.60281 | − | 21.7137i | −0.110783 | − | 0.924195i | ||||
\(553\) | −55.1343 | + | 31.8318i | −2.34455 | + | 1.35362i | ||||
\(554\) | −37.3055 | − | 12.5031i | −1.58496 | − | 0.531206i | ||||
\(555\) | −4.83615 | − | 15.4116i | −0.205283 | − | 0.654188i | ||||
\(556\) | −0.862774 | − | 6.18405i | −0.0365898 | − | 0.262262i | ||||
\(557\) | −14.2615 | − | 14.2615i | −0.604278 | − | 0.604278i | 0.337167 | − | 0.941445i | \(-0.390531\pi\) |
−0.941445 | + | 0.337167i | \(0.890531\pi\) | |||||||
\(558\) | −7.99096 | − | 4.37224i | −0.338284 | − | 0.185092i | ||||
\(559\) | − | 22.9376i | − | 0.970156i | ||||||
\(560\) | −0.260967 | − | 16.8972i | −0.0110279 | − | 0.714036i | ||||
\(561\) | −0.414864 | − | 9.80919i | −0.0175156 | − | 0.414144i | ||||
\(562\) | −22.3691 | + | 11.1388i | −0.943583 | + | 0.469861i | ||||
\(563\) | 35.1298 | + | 9.41300i | 1.48054 | + | 0.396711i | 0.906532 | − | 0.422136i | \(-0.138720\pi\) |
0.574012 | + | 0.818847i | \(0.305386\pi\) | |||||||
\(564\) | −0.322583 | − | 0.115094i | −0.0135832 | − | 0.00484633i | ||||
\(565\) | 2.59670 | − | 0.695783i | 0.109244 | − | 0.0292718i | ||||
\(566\) | 22.7991 | + | 25.7958i | 0.958319 | + | 1.08428i | ||||
\(567\) | −34.3487 | + | 5.86340i | −1.44251 | + | 0.246240i | ||||
\(568\) | 19.7809 | + | 3.69703i | 0.829989 | + | 0.155124i | ||||
\(569\) | 12.2488 | − | 21.2155i | 0.513496 | − | 0.889402i | −0.486381 | − | 0.873747i | \(-0.661683\pi\) |
0.999877 | − | 0.0156550i | \(-0.00498336\pi\) | |||||||
\(570\) | −4.25953 | + | 14.7507i | −0.178412 | + | 0.617840i | ||||
\(571\) | 7.91280 | + | 2.12023i | 0.331140 | + | 0.0887288i | 0.420559 | − | 0.907265i | \(-0.361834\pi\) |
−0.0894183 | + | 0.995994i | \(0.528501\pi\) | |||||||
\(572\) | 11.4488 | + | 27.0473i | 0.478699 | + | 1.13090i | ||||
\(573\) | 23.9061 | − | 26.0175i | 0.998690 | − | 1.08690i | ||||
\(574\) | 14.5809 | + | 9.66143i | 0.608595 | + | 0.403260i | ||||
\(575\) | 17.0048 | 0.709147 | ||||||||
\(576\) | −16.5723 | − | 17.3597i | −0.690514 | − | 0.723319i | ||||
\(577\) | −19.0192 | −0.791779 | −0.395889 | − | 0.918298i | \(-0.629564\pi\) | ||||
−0.395889 | + | 0.918298i | \(0.629564\pi\) | |||||||
\(578\) | −17.2080 | − | 11.4022i | −0.715760 | − | 0.474269i | ||||
\(579\) | 8.61265 | + | 27.4464i | 0.357929 | + | 1.14063i | ||||
\(580\) | −3.77381 | − | 8.91543i | −0.156699 | − | 0.370193i | ||||
\(581\) | 58.1417 | + | 15.5790i | 2.41213 | + | 0.646327i | ||||
\(582\) | 0.253383 | − | 0.0626732i | 0.0105031 | − | 0.00259789i | ||||
\(583\) | −4.44944 | + | 7.70665i | −0.184277 | + | 0.319177i | ||||
\(584\) | −28.9472 | − | 5.41020i | −1.19784 | − | 0.223876i | ||||
\(585\) | 7.51179 | + | 10.7905i | 0.310574 | + | 0.446133i | ||||
\(586\) | 4.88216 | + | 5.52386i | 0.201680 | + | 0.228189i | ||||
\(587\) | −9.79477 | + | 2.62450i | −0.404274 | + | 0.108325i | −0.455225 | − | 0.890376i | \(-0.650441\pi\) |
0.0509516 | + | 0.998701i | \(0.483775\pi\) | |||||||
\(588\) | −21.0898 | + | 17.9262i | −0.869731 | + | 0.739262i | ||||
\(589\) | 11.9124 | + | 3.19193i | 0.490844 | + | 0.131521i | ||||
\(590\) | −19.1358 | + | 9.52877i | −0.787810 | + | 0.392293i | ||||
\(591\) | −4.21404 | + | 2.67656i | −0.173342 | + | 0.110099i | ||||
\(592\) | −34.1813 | + | 0.527912i | −1.40484 | + | 0.0216970i | ||||
\(593\) | − | 16.0166i | − | 0.657724i | −0.944378 | − | 0.328862i | \(-0.893335\pi\) | ||
0.944378 | − | 0.328862i | \(-0.106665\pi\) | |||||||
\(594\) | 14.9224 | + | 22.3443i | 0.612273 | + | 0.916797i | ||||
\(595\) | −4.63123 | − | 4.63123i | −0.189862 | − | 0.189862i | ||||
\(596\) | −4.13950 | − | 29.6704i | −0.169561 | − | 1.21535i | ||||
\(597\) | 15.5473 | + | 3.46903i | 0.636309 | + | 0.141978i | ||||
\(598\) | 24.0409 | + | 8.05742i | 0.983107 | + | 0.329492i | ||||
\(599\) | 2.72485 | − | 1.57319i | 0.111334 | − | 0.0642790i | −0.443299 | − | 0.896374i | \(-0.646192\pi\) |
0.554633 | + | 0.832095i | \(0.312859\pi\) | |||||||
\(600\) | 14.9361 | − | 11.1880i | 0.609763 | − | 0.456749i | ||||
\(601\) | 6.88132 | + | 3.97293i | 0.280695 | + | 0.162059i | 0.633738 | − | 0.773548i | \(-0.281520\pi\) |
−0.353043 | + | 0.935607i | \(0.614853\pi\) | |||||||
\(602\) | −20.7089 | − | 23.4309i | −0.844032 | − | 0.954971i | ||||
\(603\) | 1.88133 | − | 2.22969i | 0.0766137 | − | 0.0908001i | ||||
\(604\) | −1.19642 | − | 0.148122i | −0.0486815 | − | 0.00602700i | ||||
\(605\) | 2.49732 | − | 0.669154i | 0.101530 | − | 0.0272050i | ||||
\(606\) | 5.48119 | − | 9.08376i | 0.222658 | − | 0.369002i | ||||
\(607\) | −28.2159 | + | 16.2905i | −1.14525 | + | 0.661209i | −0.947725 | − | 0.319089i | \(-0.896623\pi\) |
−0.197523 | + | 0.980298i | \(0.563290\pi\) | |||||||
\(608\) | 27.3612 | + | 17.5278i | 1.10964 | + | 0.710846i | ||||
\(609\) | −13.7723 | + | 26.3685i | −0.558083 | + | 1.06850i | ||||
\(610\) | −7.67369 | + | 11.5810i | −0.310698 | + | 0.468902i | ||||
\(611\) | 0.280791 | − | 0.280791i | 0.0113596 | − | 0.0113596i | ||||
\(612\) | −9.29463 | − | 0.359340i | −0.375713 | − | 0.0145254i | ||||
\(613\) | 1.74081 | + | 1.74081i | 0.0703105 | + | 0.0703105i | 0.741388 | − | 0.671077i | \(-0.234168\pi\) |
−0.671077 | + | 0.741388i | \(0.734168\pi\) | |||||||
\(614\) | −1.12429 | − | 5.54033i | −0.0453728 | − | 0.223589i | ||||
\(615\) | −0.255123 | − | 6.03222i | −0.0102875 | − | 0.243243i | ||||
\(616\) | 36.1144 | + | 17.2925i | 1.45509 | + | 0.696736i | ||||
\(617\) | 8.76552 | + | 15.1823i | 0.352887 | + | 0.611218i | 0.986754 | − | 0.162224i | \(-0.0518668\pi\) |
−0.633867 | + | 0.773442i | \(0.718533\pi\) | |||||||
\(618\) | 1.69977 | − | 5.88630i | 0.0683749 | − | 0.236782i | ||||
\(619\) | 3.30420 | + | 12.3314i | 0.132807 | + | 0.495643i | 0.999997 | − | 0.00233438i | \(-0.000743057\pi\) |
−0.867190 | + | 0.497977i | \(0.834076\pi\) | |||||||
\(620\) | 2.88100 | + | 3.69516i | 0.115704 | + | 0.148401i | ||||
\(621\) | 22.9847 | + | 3.12180i | 0.922342 | + | 0.125273i | ||||
\(622\) | 4.10391 | + | 0.253076i | 0.164552 | + | 0.0101474i | ||||
\(623\) | 21.7588 | − | 37.6873i | 0.871746 | − | 1.50991i | ||||
\(624\) | 26.4175 | − | 8.74015i | 1.05755 | − | 0.349886i | ||||
\(625\) | 4.27862 | + | 7.41079i | 0.171145 | + | 0.296432i | ||||
\(626\) | −13.1122 | − | 26.3321i | −0.524068 | − | 1.05244i | ||||
\(627\) | −26.7874 | − | 24.6135i | −1.06979 | − | 0.982968i | ||||
\(628\) | 1.92421 | + | 13.7920i | 0.0767842 | + | 0.550361i | ||||
\(629\) | −9.36852 | + | 9.36852i | −0.373548 | + | 0.373548i | ||||
\(630\) | 17.4154 | + | 4.24066i | 0.693847 | + | 0.168952i | ||||
\(631\) | −24.1690 | −0.962153 | −0.481076 | − | 0.876679i | \(-0.659754\pi\) | ||||
−0.481076 | + | 0.876679i | \(0.659754\pi\) | |||||||
\(632\) | 30.2581 | − | 35.3197i | 1.20360 | − | 1.40494i | ||||
\(633\) | −12.3780 | + | 23.6988i | −0.491980 | + | 0.941944i | ||||
\(634\) | 14.0937 | + | 4.72357i | 0.559733 | + | 0.187597i | ||||
\(635\) | 1.06387 | − | 3.97043i | 0.0422185 | − | 0.157562i | ||||
\(636\) | 6.93673 | + | 4.79173i | 0.275059 | + | 0.190004i | ||||
\(637\) | −8.30585 | − | 30.9979i | −0.329090 | − | 1.22818i | ||||
\(638\) | 22.8953 | + | 1.41188i | 0.906433 | + | 0.0558970i | ||||
\(639\) | −9.07320 | + | 19.3197i | −0.358930 | + | 0.764274i | ||||
\(640\) | 4.28276 | + | 11.5788i | 0.169291 | + | 0.457691i | ||||
\(641\) | −19.3938 | − | 11.1970i | −0.766010 | − | 0.442256i | 0.0654392 | − | 0.997857i | \(-0.479155\pi\) |
−0.831450 | + | 0.555600i | \(0.812489\pi\) | |||||||
\(642\) | −0.402270 | + | 20.8179i | −0.0158763 | + | 0.821617i | ||||
\(643\) | 1.00422 | − | 3.74778i | 0.0396024 | − | 0.147798i | −0.943294 | − | 0.331960i | \(-0.892290\pi\) |
0.982896 | + | 0.184161i | \(0.0589569\pi\) | |||||||
\(644\) | 31.8325 | − | 13.4744i | 1.25438 | − | 0.530964i | ||||
\(645\) | −2.35063 | + | 10.5349i | −0.0925560 | + | 0.414813i | ||||
\(646\) | 12.3420 | − | 2.50455i | 0.485589 | − | 0.0985401i | ||||
\(647\) | − | 36.0008i | − | 1.41534i | −0.706544 | − | 0.707669i | \(-0.749747\pi\) | ||
0.706544 | − | 0.707669i | \(-0.250253\pi\) | |||||||
\(648\) | 22.2424 | − | 12.3804i | 0.873766 | − | 0.486347i | ||||
\(649\) | − | 50.6508i | − | 1.98822i | ||||||
\(650\) | 4.30297 | + | 21.2043i | 0.168777 | + | 0.831702i | ||||
\(651\) | 3.13543 | − | 14.0522i | 0.122887 | − | 0.550749i | ||||
\(652\) | −8.22020 | + | 20.2870i | −0.321928 | + | 0.794500i | ||||
\(653\) | 1.19679 | − | 4.46647i | 0.0468339 | − | 0.174786i | −0.938547 | − | 0.345151i | \(-0.887828\pi\) |
0.985381 | + | 0.170364i | \(0.0544945\pi\) | |||||||
\(654\) | 3.05121 | + | 0.0589594i | 0.119312 | + | 0.00230549i | ||||
\(655\) | 1.25878 | + | 0.726755i | 0.0491845 | + | 0.0283967i | ||||
\(656\) | −12.3922 | − | 3.11620i | −0.483834 | − | 0.121667i | ||||
\(657\) | 13.2776 | − | 28.2722i | 0.518010 | − | 1.10300i | ||||
\(658\) | 0.0333211 | − | 0.540339i | 0.00129899 | − | 0.0210646i | ||||
\(659\) | 9.49427 | + | 35.4331i | 0.369844 | + | 1.38028i | 0.860734 | + | 0.509056i | \(0.170005\pi\) |
−0.490889 | + | 0.871222i | \(0.663328\pi\) | |||||||
\(660\) | −2.48651 | − | 13.5957i | −0.0967871 | − | 0.529213i | ||||
\(661\) | 6.83035 | − | 25.4912i | 0.265670 | − | 0.991493i | −0.696169 | − | 0.717878i | \(-0.745114\pi\) |
0.961839 | − | 0.273616i | \(-0.0882196\pi\) | |||||||
\(662\) | −3.46957 | + | 10.3522i | −0.134849 | + | 0.402348i | ||||
\(663\) | 4.99271 | − | 9.55902i | 0.193901 | − | 0.371242i | ||||
\(664\) | −43.8425 | + | 3.38398i | −1.70142 | + | 0.131324i | ||||
\(665\) | −24.2680 | −0.941072 | ||||||||
\(666\) | 8.57845 | − | 35.2297i | 0.332408 | − | 1.36512i | ||||
\(667\) | 14.0027 | − | 14.0027i | 0.542185 | − | 0.542185i | ||||
\(668\) | 30.1387 | + | 22.7586i | 1.16610 | + | 0.880558i | ||||
\(669\) | 22.3498 | + | 20.5360i | 0.864094 | + | 0.793969i | ||||
\(670\) | −1.34333 | + | 0.668919i | −0.0518975 | + | 0.0258426i | ||||
\(671\) | −16.4586 | − | 28.5072i | −0.635378 | − | 1.10051i | ||||
\(672\) | 19.0947 | − | 32.7789i | 0.736596 | − | 1.26447i | ||||
\(673\) | −11.8530 | + | 20.5299i | −0.456898 | + | 0.791371i | −0.998795 | − | 0.0490741i | \(-0.984373\pi\) |
0.541897 | + | 0.840445i | \(0.317706\pi\) | |||||||
\(674\) | −2.63789 | + | 42.7763i | −0.101608 | + | 1.64768i | ||||
\(675\) | 7.49977 | + | 18.3179i | 0.288666 | + | 0.705055i | ||||
\(676\) | −0.769336 | + | 6.21410i | −0.0295898 | + | 0.239004i | ||||
\(677\) | −0.158680 | − | 0.592200i | −0.00609855 | − | 0.0227601i | 0.962810 | − | 0.270181i | \(-0.0870836\pi\) |
−0.968908 | + | 0.247421i | \(0.920417\pi\) | |||||||
\(678\) | 5.79776 | + | 1.67420i | 0.222662 | + | 0.0642974i | ||||
\(679\) | 0.206287 | + | 0.357299i | 0.00791656 | + | 0.0137119i | ||||
\(680\) | 4.31546 | + | 2.06636i | 0.165490 | + | 0.0792413i | ||||
\(681\) | −1.48444 | − | 35.0986i | −0.0568838 | − | 1.34498i | ||||
\(682\) | −10.8802 | + | 2.20791i | −0.416624 | + | 0.0845451i | ||||
\(683\) | 7.92296 | + | 7.92296i | 0.303164 | + | 0.303164i | 0.842250 | − | 0.539087i | \(-0.181230\pi\) |
−0.539087 | + | 0.842250i | \(0.681230\pi\) | |||||||
\(684\) | −25.2938 | + | 23.4108i | −0.967131 | + | 0.895134i | ||||
\(685\) | −8.63676 | + | 8.63676i | −0.329994 | + | 0.329994i | ||||
\(686\) | −4.51987 | − | 2.99490i | −0.172569 | − | 0.114346i | ||||
\(687\) | 12.4826 | − | 23.8992i | 0.476241 | − | 0.911810i | ||||
\(688\) | 19.9579 | + | 11.1153i | 0.760887 | + | 0.423768i | ||||
\(689\) | −8.46522 | + | 4.88739i | −0.322499 | + | 0.186195i | ||||
\(690\) | −10.2160 | − | 6.16437i | −0.388915 | − | 0.234674i | ||||
\(691\) | 10.1756 | − | 2.72654i | 0.387097 | − | 0.103722i | −0.0600214 | − | 0.998197i | \(-0.519117\pi\) |
0.447118 | + | 0.894475i | \(0.352450\pi\) | |||||||
\(692\) | 20.8269 | + | 26.7125i | 0.791719 | + | 1.01546i | ||||
\(693\) | −27.3878 | + | 32.4591i | −1.04038 | + | 1.23302i | ||||
\(694\) | 30.3282 | − | 26.8050i | 1.15124 | − | 1.01750i | ||||
\(695\) | −2.95027 | − | 1.70334i | −0.111910 | − | 0.0646112i | ||||
\(696\) | 3.08636 | − | 21.5120i | 0.116988 | − | 0.815411i | ||||
\(697\) | −4.28883 | + | 2.47616i | −0.162451 | + | 0.0937912i | ||||
\(698\) | −2.29943 | + | 6.86082i | −0.0870348 | + | 0.259686i | ||||
\(699\) | −45.9271 | − | 10.2476i | −1.73712 | − | 0.387600i | ||||
\(700\) | 23.5396 | + | 17.7755i | 0.889713 | + | 0.671850i | ||||
\(701\) | −17.1029 | − | 17.1029i | −0.645968 | − | 0.645968i | 0.306048 | − | 0.952016i | \(-0.400993\pi\) |
−0.952016 | + | 0.306048i | \(0.900993\pi\) | |||||||
\(702\) | 1.92339 | + | 29.4510i | 0.0725937 | + | 1.11156i | ||||
\(703\) | 49.0918i | 1.85153i | ||||||||
\(704\) | −29.0817 | − | 3.14529i | −1.09606 | − | 0.118543i | ||||
\(705\) | −0.157739 | + | 0.100188i | −0.00594080 | + | 0.00377331i | ||||
\(706\) | −7.74306 | − | 15.5497i | −0.291414 | − | 0.585222i | ||||
\(707\) | 16.1980 | + | 4.34024i | 0.609188 | + | 0.163231i | ||||
\(708\) | −47.8298 | − | 3.87837i | −1.79755 | − | 0.145758i | ||||
\(709\) | 1.33738 | − | 0.358349i | 0.0502263 | − | 0.0134581i | −0.233618 | − | 0.972328i | \(-0.575057\pi\) |
0.283845 | + | 0.958870i | \(0.408390\pi\) | |||||||
\(710\) | 8.22665 | − | 7.27096i | 0.308741 | − | 0.272874i | ||||
\(711\) | 28.1839 | + | 40.4856i | 1.05698 | + | 1.51833i | ||||
\(712\) | −5.84057 | + | 31.2499i | −0.218885 | + | 1.17114i | ||||
\(713\) | −4.79209 | + | 8.30014i | −0.179465 | + | 0.310843i | ||||
\(714\) | −3.53016 | − | 14.2722i | −0.132113 | − | 0.534124i | ||||
\(715\) | 15.4785 | + | 4.14744i | 0.578862 | + | 0.155106i | ||||
\(716\) | 12.7168 | + | 5.15279i | 0.475249 | + | 0.192569i | ||||
\(717\) | 2.57255 | + | 8.19809i | 0.0960736 | + | 0.306163i | ||||
\(718\) | 6.52871 | − | 9.85305i | 0.243649 | − | 0.367712i | ||||
\(719\) | 3.58660 | 0.133758 | 0.0668789 | − | 0.997761i | \(-0.478696\pi\) | ||||
0.0668789 | + | 0.997761i | \(0.478696\pi\) | |||||||
\(720\) | −13.0289 | + | 1.30698i | −0.485559 | + | 0.0487084i | ||||
\(721\) | 9.68418 | 0.360658 | ||||||||
\(722\) | 10.9326 | − | 16.4994i | 0.406870 | − | 0.614043i | ||||
\(723\) | 11.5729 | − | 12.5951i | 0.430401 | − | 0.468415i | ||||
\(724\) | 2.11206 | − | 5.21244i | 0.0784941 | − | 0.193719i | ||||
\(725\) | 16.3226 | + | 4.37362i | 0.606205 | + | 0.162432i | ||||
\(726\) | 5.57587 | + | 1.61013i | 0.206940 | + | 0.0597575i | ||||
\(727\) | −19.8338 | + | 34.3531i | −0.735594 | + | 1.27409i | 0.218869 | + | 0.975754i | \(0.429763\pi\) |
−0.954462 | + | 0.298331i | \(0.903570\pi\) | |||||||
\(728\) | 24.8571 | + | 36.2844i | 0.921266 | + | 1.34479i | ||||
\(729\) | 6.77428 | + | 26.1364i | 0.250899 | + | 0.968013i | ||||
\(730\) | −12.0388 | + | 10.6402i | −0.445576 | + | 0.393813i | ||||
\(731\) | 8.55203 | − | 2.29151i | 0.316308 | − | 0.0847545i | ||||
\(732\) | −28.1797 | + | 13.3592i | −1.04155 | + | 0.493768i | ||||
\(733\) | 7.45317 | + | 1.99707i | 0.275289 | + | 0.0737635i | 0.393822 | − | 0.919187i | \(-0.371153\pi\) |
−0.118533 | + | 0.992950i | \(0.537819\pi\) | |||||||
\(734\) | −4.07503 | − | 8.18353i | −0.150412 | − | 0.302060i | ||||
\(735\) | 0.638126 | + | 15.0881i | 0.0235376 | + | 0.556533i | ||||
\(736\) | −18.6607 | + | 17.0134i | −0.687844 | + | 0.627120i | ||||
\(737\) | − | 3.55568i | − | 0.130975i | ||||||
\(738\) | 6.50546 | − | 11.8897i | 0.239469 | − | 0.437668i | ||||
\(739\) | −3.67791 | − | 3.67791i | −0.135294 | − | 0.135294i | 0.636216 | − | 0.771511i | \(-0.280499\pi\) |
−0.771511 | + | 0.636216i | \(0.780499\pi\) | |||||||
\(740\) | −11.2397 | + | 14.8844i | −0.413179 | + | 0.547162i | ||||
\(741\) | −11.9639 | − | 38.1261i | −0.439505 | − | 1.40060i | ||||
\(742\) | −4.23475 | + | 12.6352i | −0.155462 | + | 0.463854i | ||||
\(743\) | 29.0142 | − | 16.7513i | 1.06443 | − | 0.614547i | 0.137773 | − | 0.990464i | \(-0.456005\pi\) |
0.926654 | + | 0.375917i | \(0.122672\pi\) | |||||||
\(744\) | 1.25183 | + | 10.4433i | 0.0458944 | + | 0.382869i | ||||
\(745\) | −14.1551 | − | 8.17244i | −0.518602 | − | 0.299415i | ||||
\(746\) | 12.6245 | − | 11.1579i | 0.462216 | − | 0.408520i | ||||
\(747\) | 8.22436 | − | 45.9094i | 0.300914 | − | 1.67974i | ||||
\(748\) | −8.94053 | + | 6.97065i | −0.326898 | + | 0.254872i | ||||
\(749\) | −31.7900 | + | 8.51811i | −1.16158 | + | 0.311245i | ||||
\(750\) | 0.454902 | − | 23.5417i | 0.0166107 | − | 0.859620i | ||||
\(751\) | −28.3480 | + | 16.3667i | −1.03443 | + | 0.597231i | −0.918252 | − | 0.395997i | \(-0.870399\pi\) |
−0.116182 | + | 0.993228i | \(0.537066\pi\) | |||||||
\(752\) | 0.108246 | + | 0.380384i | 0.00394733 | + | 0.0138712i | ||||
\(753\) | 2.32836 | + | 3.66582i | 0.0848501 | + | 0.133590i | ||||
\(754\) | 21.0041 | + | 13.9175i | 0.764925 | + | 0.506846i | ||||
\(755\) | −0.465095 | + | 0.465095i | −0.0169265 | + | 0.0169265i | ||||
\(756\) | 28.5542 | + | 28.3479i | 1.03851 | + | 1.03100i | ||||
\(757\) | −32.1096 | − | 32.1096i | −1.16704 | − | 1.16704i | −0.982900 | − | 0.184143i | \(-0.941049\pi\) |
−0.184143 | − | 0.982900i | \(-0.558951\pi\) | |||||||
\(758\) | −15.2187 | + | 3.08832i | −0.552768 | + | 0.112173i | ||||
\(759\) | 23.8642 | − | 15.1574i | 0.866217 | − | 0.550180i | ||||
\(760\) | 16.7206 | − | 5.89273i | 0.606520 | − | 0.213752i | ||||
\(761\) | −11.3534 | − | 19.6647i | −0.411562 | − | 0.712847i | 0.583499 | − | 0.812114i | \(-0.301683\pi\) |
−0.995061 | + | 0.0992676i | \(0.968350\pi\) | |||||||
\(762\) | 6.64942 | − | 6.39731i | 0.240883 | − | 0.231750i | ||||
\(763\) | 1.24847 | + | 4.65936i | 0.0451977 | + | 0.168680i | ||||
\(764\) | −40.4897 | − | 5.01282i | −1.46487 | − | 0.181358i | ||||
\(765\) | −3.27269 | + | 3.87868i | −0.118324 | + | 0.140234i | ||||
\(766\) | 0.498357 | − | 8.08142i | 0.0180064 | − | 0.291994i | ||||
\(767\) | 27.8182 | − | 48.1825i | 1.00446 | − | 1.73977i | ||||
\(768\) | −5.19693 | + | 27.2212i | −0.187528 | + | 0.982259i | ||||
\(769\) | 23.6477 | + | 40.9590i | 0.852757 | + | 1.47702i | 0.878710 | + | 0.477356i | \(0.158405\pi\) |
−0.0259531 | + | 0.999663i | \(0.508262\pi\) | |||||||
\(770\) | 19.5558 | − | 9.73790i | 0.704743 | − | 0.350930i | ||||
\(771\) | −27.9508 | + | 8.77092i | −1.00662 | + | 0.315877i | ||||
\(772\) | 20.0166 | − | 26.5075i | 0.720414 | − | 0.954025i | ||||
\(773\) | 13.5761 | − | 13.5761i | 0.488297 | − | 0.488297i | −0.419472 | − | 0.907768i | \(-0.637785\pi\) |
0.907768 | + | 0.419472i | \(0.137785\pi\) | |||||||
\(774\) | −16.7357 | + | 17.5219i | −0.601551 | + | 0.629813i | ||||
\(775\) | −8.17852 | −0.293781 | ||||||||
\(776\) | −0.228890 | − | 0.196088i | −0.00821669 | − | 0.00703916i | ||||
\(777\) | 57.2609 | − | 2.42175i | 2.05422 | − | 0.0868800i | ||||
\(778\) | 3.17358 | − | 9.46903i | 0.113779 | − | 0.339481i | ||||
\(779\) | −4.74927 | + | 17.7245i | −0.170160 | + | 0.635047i | ||||
\(780\) | 5.10165 | − | 14.2988i | 0.182668 | − | 0.511980i | ||||
\(781\) | 6.73300 | + | 25.1279i | 0.240926 | + | 0.899147i | ||||
\(782\) | −0.602386 | + | 9.76836i | −0.0215413 | + | 0.349316i | ||||
\(783\) | 21.2597 | + | 8.90821i | 0.759758 | + | 0.318353i | ||||
\(784\) | 30.9960 | + | 7.79438i | 1.10700 | + | 0.278371i | ||||
\(785\) | 6.57984 | + | 3.79887i | 0.234845 | + | 0.135588i | ||||
\(786\) | 1.57651 | + | 2.85667i | 0.0562323 | + | 0.101894i | ||||
\(787\) | −2.13054 | + | 7.95128i | −0.0759455 | + | 0.283432i | −0.993446 | − | 0.114302i | \(-0.963537\pi\) |
0.917501 | + | 0.397735i | \(0.130203\pi\) | |||||||
\(788\) | 5.34258 | + | 2.16479i | 0.190321 | + | 0.0771174i | ||||
\(789\) | 26.4215 | + | 24.2773i | 0.940631 | + | 0.864294i | ||||
\(790\) | −5.04643 | − | 24.8680i | −0.179544 | − | 0.884762i | ||||
\(791\) | 9.53851i | 0.339150i | ||||||||
\(792\) | 10.9885 | − | 29.0146i | 0.390458 | − | 1.03099i | ||||
\(793\) | − | 36.1573i | − | 1.28398i | ||||||
\(794\) | 3.65410 | − | 0.741523i | 0.129679 | − | 0.0263157i | ||||
\(795\) | 4.38882 | − | 1.37721i | 0.155655 | − | 0.0488445i | ||||
\(796\) | −7.17007 | − | 16.9389i | −0.254136 | − | 0.600385i | ||||
\(797\) | −9.57723 | + | 35.7427i | −0.339243 | + | 1.26607i | 0.559953 | + | 0.828525i | \(0.310819\pi\) |
−0.899195 | + | 0.437547i | \(0.855847\pi\) | |||||||
\(798\) | −46.6429 | − | 28.1445i | −1.65114 | − | 0.996306i | ||||
\(799\) | 0.132742 | + | 0.0766384i | 0.00469606 | + | 0.00271127i | ||||
\(800\) | −20.5350 | − | 6.53142i | −0.726021 | − | 0.230921i | ||||
\(801\) | −30.5212 | − | 14.3338i | −1.07841 | − | 0.506462i | ||||
\(802\) | 55.9215 | + | 3.44851i | 1.97466 | + | 0.121771i | ||||
\(803\) | −9.85301 | − | 36.7719i | −0.347705 | − | 1.29765i | ||||
\(804\) | −3.35765 | − | 0.272261i | −0.118415 | − | 0.00960191i | ||||
\(805\) | 4.88121 | − | 18.2169i | 0.172040 | − | 0.642062i | ||||
\(806\) | −11.5626 | − | 3.87525i | −0.407275 | − | 0.136500i | ||||
\(807\) | 19.8994 | + | 31.3300i | 0.700491 | + | 1.10287i | ||||
\(808\) | −12.2143 | + | 0.942759i | −0.429697 | + | 0.0331662i | ||||
\(809\) | 42.6915 | 1.50095 | 0.750477 | − | 0.660897i | \(-0.229824\pi\) | ||||
0.750477 | + | 0.660897i | \(0.229824\pi\) | |||||||
\(810\) | 2.13474 | − | 13.7236i | 0.0750070 | − | 0.482197i | ||||
\(811\) | −21.6324 | + | 21.6324i | −0.759616 | + | 0.759616i | −0.976252 | − | 0.216637i | \(-0.930491\pi\) |
0.216637 | + | 0.976252i | \(0.430491\pi\) | |||||||
\(812\) | 34.0211 | − | 4.74649i | 1.19391 | − | 0.166569i | ||||
\(813\) | −7.55600 | + | 33.8641i | −0.265001 | + | 1.18767i | ||||
\(814\) | −19.6988 | − | 39.5595i | −0.690444 | − | 1.38656i | ||||
\(815\) | 5.97131 | + | 10.3426i | 0.209166 | + | 0.362286i | ||||
\(816\) | 5.89784 | + | 8.97634i | 0.206466 | + | 0.314235i | ||||
\(817\) | 16.4028 | − | 28.4105i | 0.573861 | − | 0.993957i | ||||
\(818\) | −31.8523 | − | 1.96424i | −1.11369 | − | 0.0686780i | ||||
\(819\) | −43.8802 | + | 15.8356i | −1.53330 | + | 0.553339i | ||||
\(820\) | −5.49803 | + | 4.28664i | −0.192000 | + | 0.149696i | ||||
\(821\) | 11.1896 | + | 41.7600i | 0.390519 | + | 1.45744i | 0.829281 | + | 0.558832i | \(0.188750\pi\) |
−0.438762 | + | 0.898603i | \(0.644583\pi\) | |||||||
\(822\) | −26.6162 | + | 6.58338i | −0.928346 | + | 0.229622i | ||||
\(823\) | −7.47369 | − | 12.9448i | −0.260516 | − | 0.451227i | 0.705863 | − | 0.708348i | \(-0.250559\pi\) |
−0.966379 | + | 0.257121i | \(0.917226\pi\) | |||||||
\(824\) | −6.67239 | + | 2.35150i | −0.232444 | + | 0.0819185i | ||||
\(825\) | 21.3836 | + | 11.1687i | 0.744481 | + | 0.388845i | ||||
\(826\) | −15.0845 | − | 74.3340i | −0.524858 | − | 2.58641i | ||||
\(827\) | −3.17437 | − | 3.17437i | −0.110384 | − | 0.110384i | 0.649758 | − | 0.760141i | \(-0.274870\pi\) |
−0.760141 | + | 0.649758i | \(0.774870\pi\) | |||||||
\(828\) | −12.4859 | − | 23.6957i | −0.433916 | − | 0.823484i | ||||
\(829\) | −6.24227 | + | 6.24227i | −0.216803 | + | 0.216803i | −0.807150 | − | 0.590347i | \(-0.798991\pi\) |
0.590347 | + | 0.807150i | \(0.298991\pi\) | |||||||
\(830\) | −13.2518 | + | 19.9995i | −0.459977 | + | 0.694191i | ||||
\(831\) | −48.1445 | + | 2.03619i | −1.67012 | + | 0.0706348i | ||||
\(832\) | −25.9371 | − | 18.9641i | −0.899206 | − | 0.657463i | ||||
\(833\) | 10.7274 | − | 6.19349i | 0.371684 | − | 0.214592i | ||||
\(834\) | −3.69496 | − | 6.69534i | −0.127946 | − | 0.231841i | ||||
\(835\) | 19.9031 | − | 5.33301i | 0.688774 | − | 0.184556i | ||||
\(836\) | −5.16116 | + | 41.6879i | −0.178503 | + | 1.44181i | ||||
\(837\) | −11.0546 | − | 1.50144i | −0.382102 | − | 0.0518974i | ||||
\(838\) | 0.524711 | + | 0.593679i | 0.0181258 | + | 0.0205083i | ||||
\(839\) | 8.61601 | + | 4.97446i | 0.297458 | + | 0.171737i | 0.641300 | − | 0.767290i | \(-0.278395\pi\) |
−0.343842 | + | 0.939027i | \(0.611729\pi\) | |||||||
\(840\) | −7.69815 | − | 19.2123i | −0.265611 | − | 0.662887i | ||||
\(841\) | −8.07235 | + | 4.66057i | −0.278357 | + | 0.160709i | ||||
\(842\) | −29.3054 | − | 9.82182i | −1.00993 | − | 0.338482i | ||||
\(843\) | −20.7073 | + | 22.5362i | −0.713197 | + | 0.776189i | ||||
\(844\) | 30.5767 | − | 4.26594i | 1.05249 | − | 0.146840i | ||||
\(845\) | 2.41567 | + | 2.41567i | 0.0831016 | + | 0.0831016i | ||||
\(846\) | −0.419366 | + | 0.00962500i | −0.0144181 | + | 0.000330914i | ||||
\(847\) | 9.17346i | 0.315204i | ||||||||
\(848\) | −0.150335 | − | 9.73393i | −0.00516253 | − | 0.334264i | ||||
\(849\) | 37.3737 | + | 19.5204i | 1.28266 | + | 0.669939i | ||||
\(850\) | −7.47593 | + | 3.72267i | −0.256422 | + | 0.127687i | ||||
\(851\) | −36.8511 | − | 9.87421i | −1.26324 | − | 0.338484i | ||||
\(852\) | 24.2440 | − | 4.43394i | 0.830584 | − | 0.151904i | ||||
\(853\) | 20.6477 | − | 5.53253i | 0.706963 | − | 0.189430i | 0.112616 | − | 0.993639i | \(-0.464077\pi\) |
0.594347 | + | 0.804208i | \(0.297410\pi\) | |||||||
\(854\) | −32.6442 | − | 36.9349i | −1.11706 | − | 1.26389i | ||||
\(855\) | 1.58773 | + | 18.7369i | 0.0542992 | + | 0.640787i | ||||
\(856\) | 19.8349 | − | 13.5882i | 0.677944 | − | 0.464435i | ||||
\(857\) | −6.86646 | + | 11.8931i | −0.234554 | + | 0.406259i | −0.959143 | − | 0.282922i | \(-0.908696\pi\) |
0.724589 | + | 0.689181i | \(0.242030\pi\) | |||||||
\(858\) | 24.9395 | + | 25.9223i | 0.851421 | + | 0.884974i | ||||
\(859\) | 13.6273 | + | 3.65143i | 0.464958 | + | 0.124585i | 0.483690 | − | 0.875239i | \(-0.339296\pi\) |
−0.0187321 | + | 0.999825i | \(0.505963\pi\) | |||||||
\(860\) | 11.4779 | − | 4.85847i | 0.391393 | − | 0.165673i | ||||
\(861\) | 20.9083 | + | 4.66520i | 0.712552 | + | 0.158990i | ||||
\(862\) | 9.54655 | + | 6.32562i | 0.325157 | + | 0.215452i | ||||
\(863\) | −30.6861 | −1.04457 | −0.522284 | − | 0.852772i | \(-0.674920\pi\) | ||||
−0.522284 | + | 0.852772i | \(0.674920\pi\) | |||||||
\(864\) | −26.5572 | − | 12.5981i | −0.903495 | − | 0.428598i | ||||
\(865\) | 18.4805 | 0.628355 | ||||||||
\(866\) | −33.0539 | − | 21.9018i | −1.12322 | − | 0.744254i | ||||
\(867\) | −24.6754 | − | 5.50576i | −0.838021 | − | 0.186985i | ||||
\(868\) | −15.3100 | + | 6.48055i | −0.519655 | + | 0.219964i | ||||
\(869\) | 58.0745 | + | 15.5610i | 1.97004 | + | 0.527871i | ||||
\(870\) | −8.22066 | − | 8.54462i | −0.278707 | − | 0.289690i | ||||
\(871\) | 1.95283 | − | 3.38240i | 0.0661692 | − | 0.114608i | ||||
\(872\) | −1.99157 | − | 2.90714i | −0.0674432 | − | 0.0984481i | ||||
\(873\) | 0.262368 | − | 0.182647i | 0.00887981 | − | 0.00618165i | ||||
\(874\) | 24.0152 | + | 27.1717i | 0.812326 | + | 0.919098i | ||||
\(875\) | 35.9493 | − | 9.63260i | 1.21531 | − | 0.325641i | ||||
\(876\) | −35.4784 | + | 6.48859i | −1.19870 | + | 0.219229i | ||||
\(877\) | −21.1730 | − | 5.67328i | −0.714960 | − | 0.191573i | −0.117038 | − | 0.993127i | \(-0.537340\pi\) |
−0.597922 | + | 0.801554i | \(0.704007\pi\) | |||||||
\(878\) | −36.2069 | + | 18.0294i | −1.22192 | + | 0.608462i | ||||
\(879\) | 8.00312 | + | 4.18005i | 0.269938 | + | 0.140990i | ||||
\(880\) | −11.1094 | + | 11.4579i | −0.374497 | + | 0.386247i | ||||
\(881\) | 15.7695i | 0.531287i | 0.964071 | + | 0.265644i | \(0.0855845\pi\) | ||||
−0.964071 | + | 0.265644i | \(0.914416\pi\) | |||||||
\(882\) | −16.2718 | + | 29.7392i | −0.547900 | + | 1.00137i | ||||
\(883\) | −32.1210 | − | 32.1210i | −1.08096 | − | 1.08096i | −0.996420 | − | 0.0845378i | \(-0.973059\pi\) |
−0.0845378 | − | 0.996420i | \(-0.526941\pi\) | |||||||
\(884\) | −12.3332 | + | 1.72068i | −0.414811 | + | 0.0578729i | ||||
\(885\) | −17.7142 | + | 19.2788i | −0.595458 | + | 0.648050i | ||||
\(886\) | 9.02037 | + | 3.02321i | 0.303045 | + | 0.101567i | ||||
\(887\) | 5.68281 | − | 3.28097i | 0.190810 | − | 0.110164i | −0.401552 | − | 0.915836i | \(-0.631529\pi\) |
0.592362 | + | 0.805672i | \(0.298196\pi\) | |||||||
\(888\) | −38.8646 | + | 15.5726i | −1.30421 | + | 0.522582i | ||||
\(889\) | 12.6307 | + | 7.29233i | 0.423620 | + | 0.244577i | ||||
\(890\) | 11.4867 | + | 12.9965i | 0.385034 | + | 0.435642i | ||||
\(891\) | 26.8530 | + | 19.0220i | 0.899608 | + | 0.637261i | ||||
\(892\) | 4.30617 | − | 34.7819i | 0.144181 | − | 1.16458i | ||||
\(893\) | 0.548583 | − | 0.146992i | 0.0183576 | − | 0.00491891i | ||||
\(894\) | −17.7280 | − | 32.1236i | −0.592914 | − | 1.07437i | ||||
\(895\) | 6.48322 | − | 3.74309i | 0.216710 | − | 0.125118i | ||||
\(896\) | −43.6164 | + | 4.04498i | −1.45712 | + | 0.135133i | ||||
\(897\) | 31.0260 | − | 1.31219i | 1.03593 | − | 0.0438129i | ||||
\(898\) | 26.6601 | − | 40.2350i | 0.889657 | − | 1.34266i | ||||
\(899\) | −6.73464 | + | 6.73464i | −0.224613 | + | 0.224613i | ||||
\(900\) | 12.1840 | − | 19.3374i | 0.406135 | − | 0.644581i | ||||
\(901\) | −2.66790 | − | 2.66790i | −0.0888808 | − | 0.0888808i | ||||
\(902\) | −3.28514 | − | 16.1886i | −0.109383 | − | 0.539023i | ||||
\(903\) | −33.9473 | − | 17.7308i | −1.12969 | − | 0.590043i | ||||
\(904\) | −2.31613 | − | 6.57202i | −0.0770334 | − | 0.218582i | ||||
\(905\) | −1.53424 | − | 2.65738i | −0.0509999 | − | 0.0883344i | ||||
\(906\) | −1.43330 | + | 0.354519i | −0.0476181 | + | 0.0117781i | ||||
\(907\) | 5.88760 | + | 21.9728i | 0.195495 | + | 0.729596i | 0.992138 | + | 0.125147i | \(0.0399401\pi\) |
−0.796644 | + | 0.604449i | \(0.793393\pi\) | |||||||
\(908\) | −31.9904 | + | 24.9419i | −1.06164 | + | 0.827727i | ||||
\(909\) | 2.29127 | − | 12.7901i | 0.0759965 | − | 0.424222i | ||||
\(910\) | 23.9510 | + | 1.47699i | 0.793969 | + | 0.0489617i | ||||
\(911\) | −5.27703 | + | 9.14009i | −0.174836 | + | 0.302825i | −0.940104 | − | 0.340887i | \(-0.889273\pi\) |
0.765269 | + | 0.643711i | \(0.222606\pi\) | |||||||
\(912\) | 38.9709 | + | 8.06579i | 1.29046 | + | 0.267085i | ||||
\(913\) | −28.4227 | − | 49.2295i | −0.940653 | − | 1.62926i | ||||
\(914\) | −0.166506 | − | 0.334380i | −0.00550753 | − | 0.0110603i | ||||
\(915\) | −3.70538 | + | 16.6066i | −0.122496 | + | 0.548997i | ||||
\(916\) | −30.8351 | + | 4.30200i | −1.01882 | + | 0.142142i | ||||
\(917\) | −3.64675 | + | 3.64675i | −0.120426 | + | 0.120426i | ||||
\(918\) | −10.7883 | + | 3.65933i | −0.356068 | + | 0.120776i | ||||
\(919\) | −0.366138 | −0.0120778 | −0.00603890 | − | 0.999982i | \(-0.501922\pi\) | ||||
−0.00603890 | + | 0.999982i | \(0.501922\pi\) | |||||||
\(920\) | 1.06027 | + | 13.7367i | 0.0349559 | + | 0.452885i | ||||
\(921\) | −3.71217 | − | 5.84454i | −0.122320 | − | 0.192584i | ||||
\(922\) | −30.7564 | − | 10.3081i | −1.01291 | − | 0.339480i | ||||
\(923\) | −7.39573 | + | 27.6012i | −0.243433 | + | 0.908506i | ||||
\(924\) | 48.8795 | + | 3.96349i | 1.60802 | + | 0.130389i | ||||
\(925\) | −8.42601 | − | 31.4463i | −0.277046 | − | 1.03395i | ||||
\(926\) | 41.0208 | + | 2.52963i | 1.34803 | + | 0.0831289i | ||||
\(927\) | −0.633587 | − | 7.47698i | −0.0208097 | − | 0.245576i | ||||
\(928\) | −22.2880 | + | 11.5313i | −0.731638 | + | 0.378533i | ||||
\(929\) | −40.6720 | − | 23.4820i | −1.33440 | − | 0.770419i | −0.348433 | − | 0.937334i | \(-0.613286\pi\) |
−0.985971 | + | 0.166915i | \(0.946619\pi\) | |||||||
\(930\) | 4.91342 | + | 2.96478i | 0.161117 | + | 0.0972191i | ||||
\(931\) | 11.8791 | − | 44.3335i | 0.389323 | − | 1.45297i | ||||
\(932\) | 21.1806 | + | 50.0380i | 0.693792 | + | 1.63905i | ||||
\(933\) | 4.80478 | − | 1.50773i | 0.157301 | − | 0.0493610i | ||||
\(934\) | −2.88080 | + | 0.584598i | −0.0942626 | + | 0.0191286i | ||||
\(935\) | 6.18532i | 0.202281i | ||||||||
\(936\) | 26.3882 | − | 21.5656i | 0.862527 | − | 0.704895i | ||||
\(937\) | 52.8156i | 1.72541i | 0.505706 | + | 0.862706i | \(0.331232\pi\) | ||||
−0.505706 | + | 0.862706i | \(0.668768\pi\) | |||||||
\(938\) | −1.05893 | − | 5.21824i | −0.0345754 | − | 0.170382i | ||||
\(939\) | −26.5288 | − | 24.3759i | −0.865735 | − | 0.795477i | ||||
\(940\) | 0.199982 | + | 0.0810320i | 0.00652270 | + | 0.00264297i | ||||
\(941\) | 14.2433 | − | 53.1569i | 0.464320 | − | 1.73286i | −0.194816 | − | 0.980840i | \(-0.562411\pi\) |
0.659135 | − | 0.752024i | \(-0.270922\pi\) | |||||||
\(942\) | 8.24069 | + | 14.9323i | 0.268496 | + | 0.486521i | ||||
\(943\) | −12.3498 | − | 7.13015i | −0.402164 | − | 0.232190i | ||||
\(944\) | 28.4429 | + | 47.5532i | 0.925738 | + | 1.54773i | ||||
\(945\) | 21.7764 | − | 2.77625i | 0.708387 | − | 0.0903113i | ||||
\(946\) | −1.81769 | + | 29.4758i | −0.0590981 | + | 0.958342i | ||||
\(947\) | 5.03273 | + | 18.7824i | 0.163542 | + | 0.610346i | 0.998222 | + | 0.0596105i | \(0.0189859\pi\) |
−0.834680 | + | 0.550735i | \(0.814347\pi\) | |||||||
\(948\) | 19.1412 | − | 53.6485i | 0.621676 | − | 1.74242i | ||||
\(949\) | 10.8228 | − | 40.3914i | 0.351324 | − | 1.31116i | ||||
\(950\) | −9.83368 | + | 29.3408i | −0.319047 | + | 0.951940i | ||||
\(951\) | 18.1886 | − | 0.769258i | 0.589807 | − | 0.0249449i | ||||
\(952\) | −11.0450 | + | 12.8926i | −0.357970 | + | 0.417851i | ||||
\(953\) | 32.2129 | 1.04348 | 0.521739 | − | 0.853105i | \(-0.325283\pi\) | ||||
0.521739 | + | 0.853105i | \(0.325283\pi\) | |||||||
\(954\) | 10.0325 | + | 2.44291i | 0.324813 | + | 0.0790922i | ||||
\(955\) | −15.7400 | + | 15.7400i | −0.509334 | + | 0.509334i | ||||
\(956\) | 5.97885 | − | 7.91763i | 0.193370 | − | 0.256075i | ||||
\(957\) | 26.8054 | − | 8.41149i | 0.866494 | − | 0.271905i | ||||
\(958\) | 29.9135 | − | 14.8955i | 0.966460 | − | 0.481253i | ||||
\(959\) | −21.6690 | − | 37.5318i | −0.699729 | − | 1.21197i | ||||
\(960\) | 9.96912 | + | 11.3680i | 0.321752 | + | 0.366900i | ||||
\(961\) | −13.1952 | + | 22.8548i | −0.425652 | + | 0.737251i | ||||
\(962\) | 2.98780 | − | 48.4506i | 0.0963307 | − | 1.56211i | ||||
\(963\) | 8.65653 | + | 23.9872i | 0.278953 | + | 0.772976i | ||||
\(964\) | −19.6011 | − | 2.42671i | −0.631308 | − | 0.0781590i | ||||
\(965\) | −4.69047 | − | 17.5051i | −0.150992 | − | 0.563508i | ||||
\(966\) | 30.5085 | − | 29.3518i | 0.981596 | − | 0.944380i | ||||
\(967\) | −6.78008 | − | 11.7434i | −0.218033 | − | 0.377644i | 0.736174 | − | 0.676793i | \(-0.236631\pi\) |
−0.954206 | + | 0.299149i | \(0.903297\pi\) | |||||||
\(968\) | −2.22749 | − | 6.32050i | −0.0715942 | − | 0.203149i | ||||
\(969\) | 13.0197 | − | 8.26948i | 0.418252 | − | 0.265654i | ||||
\(970\) | −0.161158 | + | 0.0327035i | −0.00517446 | + | 0.00105005i | ||||
\(971\) | 1.29201 | + | 1.29201i | 0.0414626 | + | 0.0414626i | 0.727534 | − | 0.686072i | \(-0.240666\pi\) |
−0.686072 | + | 0.727534i | \(0.740666\pi\) | |||||||
\(972\) | 20.0187 | − | 23.9009i | 0.642101 | − | 0.766620i | ||||
\(973\) | 8.54709 | − | 8.54709i | 0.274007 | − | 0.274007i | ||||
\(974\) | 9.95343 | + | 6.59523i | 0.318929 | + | 0.211325i | ||||
\(975\) | 14.2075 | + | 22.3686i | 0.455004 | + | 0.716370i | ||||
\(976\) | 31.4603 | + | 17.5215i | 1.00702 | + | 0.560849i | ||||
\(977\) | −30.8504 | + | 17.8115i | −0.986993 | + | 0.569841i | −0.904374 | − | 0.426741i | \(-0.859662\pi\) |
−0.0826189 | + | 0.996581i | \(0.526328\pi\) | |||||||
\(978\) | −0.517933 | + | 26.8036i | −0.0165617 | + | 0.857084i | ||||
\(979\) | −39.6971 | + | 10.6368i | −1.26872 | + | 0.339954i | ||||
\(980\) | 13.7520 | − | 10.7220i | 0.439290 | − | 0.342501i | ||||
\(981\) | 3.51572 | − | 1.26876i | 0.112248 | − | 0.0405084i | ||||
\(982\) | −5.40485 | + | 4.77697i | −0.172476 | + | 0.152439i | ||||
\(983\) | 44.7746 | + | 25.8506i | 1.42809 | + | 0.824507i | 0.996970 | − | 0.0777882i | \(-0.0247858\pi\) |
0.431118 | + | 0.902295i | \(0.358119\pi\) | |||||||
\(984\) | −15.5386 | + | 1.86260i | −0.495351 | + | 0.0593776i | ||||
\(985\) | 2.72373 | − | 1.57254i | 0.0867852 | − | 0.0501054i | ||||
\(986\) | −3.09064 | + | 9.22155i | −0.0984260 | + | 0.293674i | ||||
\(987\) | −0.198515 | − | 0.632618i | −0.00631880 | − | 0.0201365i | ||||
\(988\) | −27.8053 | + | 36.8218i | −0.884603 | + | 1.17146i | ||||
\(989\) | 18.0273 | + | 18.0273i | 0.573235 | + | 0.573235i | ||||
\(990\) | −8.79789 | − | 14.4616i | −0.279615 | − | 0.459619i | ||||
\(991\) | − | 27.3724i | − | 0.869513i | −0.900548 | − | 0.434756i | \(-0.856834\pi\) | ||
0.900548 | − | 0.434756i | \(-0.143166\pi\) | |||||||
\(992\) | 8.97496 | − | 8.18265i | 0.284955 | − | 0.259799i | ||||
\(993\) | 0.565038 | + | 13.3600i | 0.0179309 | + | 0.423966i | ||||
\(994\) | 17.3647 | + | 34.8720i | 0.550773 | + | 1.10607i | ||||
\(995\) | −9.69372 | − | 2.59742i | −0.307311 | − | 0.0823439i | ||||
\(996\) | −48.6640 | + | 23.0701i | −1.54198 | + | 0.731005i | ||||
\(997\) | −52.2174 | + | 13.9916i | −1.65374 | + | 0.443119i | −0.960657 | − | 0.277737i | \(-0.910416\pi\) |
−0.693085 | + | 0.720856i | \(0.743749\pi\) | |||||||
\(998\) | −21.8735 | + | 19.3324i | −0.692392 | + | 0.611957i | ||||
\(999\) | −5.61608 | − | 44.0516i | −0.177685 | − | 1.39373i |
(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 | 144.2.u.a.11.5 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.18 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.21 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.19 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.4 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.9 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.4 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.13 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.13 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.9 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.9 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.19 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.9 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.18 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.21 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.5 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.5 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.4 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.4 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.5 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.19 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.18 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.18 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.19 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.13 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.21 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.21 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.13 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.9 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.9 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.9 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.9 | 88 | 144.13 | even | 12 |