Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [138,3,Mod(29,138)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(138, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 18]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("138.29");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 138 = 2 \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 138.g (of order \(22\), degree \(10\), 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: | \(3.76022764817\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 29.9 | ||
Character | \(\chi\) | \(=\) | 138.29 |
Dual form | 138.3.g.a.119.9 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/138\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(97\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{11}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28641 | + | 0.587486i | 0.643207 | + | 0.293743i | ||||
\(3\) | −2.99735 | + | 0.126139i | −0.999116 | + | 0.0420465i | ||||
\(4\) | 1.30972 | + | 1.51150i | 0.327430 | + | 0.377875i | ||||
\(5\) | −2.91988 | − | 4.54342i | −0.583976 | − | 0.908684i | 0.416024 | − | 0.909354i | \(-0.363423\pi\) |
−1.00000 | 0.000669622i | \(0.999787\pi\) | ||||||||
\(6\) | −3.92993 | − | 1.59863i | −0.654989 | − | 0.266438i | ||||
\(7\) | 1.52608 | − | 10.6142i | 0.218012 | − | 1.51631i | −0.527350 | − | 0.849648i | \(-0.676814\pi\) |
0.745362 | − | 0.666660i | \(-0.232276\pi\) | |||||||
\(8\) | 0.796860 | + | 2.71386i | 0.0996075 | + | 0.339232i | ||||
\(9\) | 8.96818 | − | 0.756167i | 0.996464 | − | 0.0840186i | ||||
\(10\) | −1.08698 | − | 7.56011i | −0.108698 | − | 0.756011i | ||||
\(11\) | −0.358486 | + | 0.163715i | −0.0325896 | + | 0.0148832i | −0.431643 | − | 0.902044i | \(-0.642066\pi\) |
0.399054 | + | 0.916928i | \(0.369339\pi\) | |||||||
\(12\) | −4.11635 | − | 4.36528i | −0.343029 | − | 0.363773i | ||||
\(13\) | −2.10755 | − | 14.6583i | −0.162119 | − | 1.12756i | −0.894630 | − | 0.446807i | \(-0.852561\pi\) |
0.732511 | − | 0.680755i | \(-0.238348\pi\) | |||||||
\(14\) | 8.19884 | − | 12.7576i | 0.585631 | − | 0.911260i | ||||
\(15\) | 9.32499 | + | 13.2499i | 0.621666 | + | 0.883326i | ||||
\(16\) | −0.569259 | + | 3.95929i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 12.5527 | + | 10.8770i | 0.738395 | + | 0.639823i | 0.940599 | − | 0.339521i | \(-0.110265\pi\) |
−0.202204 | + | 0.979343i | \(0.564810\pi\) | |||||||
\(18\) | 11.9810 | + | 4.29593i | 0.665613 | + | 0.238663i | ||||
\(19\) | −17.2378 | − | 19.8934i | −0.907250 | − | 1.04702i | −0.998688 | − | 0.0512120i | \(-0.983692\pi\) |
0.0914373 | − | 0.995811i | \(-0.470854\pi\) | |||||||
\(20\) | 3.04315 | − | 10.3640i | 0.152157 | − | 0.518200i | ||||
\(21\) | −3.23534 | + | 32.0068i | −0.154064 | + | 1.52413i | ||||
\(22\) | −0.557342 | −0.0253337 | ||||||||
\(23\) | −4.88536 | + | 22.4752i | −0.212407 | + | 0.977181i | ||||
\(24\) | −2.73079 | − | 8.03385i | −0.113783 | − | 0.334744i | ||||
\(25\) | −1.73160 | + | 3.79167i | −0.0692639 | + | 0.151667i | ||||
\(26\) | 5.90037 | − | 20.0948i | 0.226937 | − | 0.772877i | ||||
\(27\) | −26.7854 | + | 3.39774i | −0.992050 | + | 0.125842i | ||||
\(28\) | 18.0420 | − | 11.5949i | 0.644358 | − | 0.414104i | ||||
\(29\) | −30.0536 | − | 26.0416i | −1.03633 | − | 0.897987i | −0.0414614 | − | 0.999140i | \(-0.513201\pi\) |
−0.994871 | + | 0.101153i | \(0.967747\pi\) | |||||||
\(30\) | 4.21168 | + | 22.5231i | 0.140389 | + | 0.750772i | ||||
\(31\) | 3.53241 | − | 1.03721i | 0.113949 | − | 0.0334583i | −0.224261 | − | 0.974529i | \(-0.571997\pi\) |
0.338210 | + | 0.941071i | \(0.390179\pi\) | |||||||
\(32\) | −3.05833 | + | 4.75885i | −0.0955727 | + | 0.148714i | ||||
\(33\) | 1.05386 | − | 0.535930i | 0.0319350 | − | 0.0162403i | ||||
\(34\) | 9.75791 | + | 21.3668i | 0.286997 | + | 0.628436i | ||||
\(35\) | −52.6805 | + | 24.0584i | −1.50516 | + | 0.687383i | ||||
\(36\) | 12.8888 | + | 12.5650i | 0.358021 | + | 0.349028i | ||||
\(37\) | 48.6290 | + | 31.2520i | 1.31430 | + | 0.844648i | 0.994691 | − | 0.102903i | \(-0.0328131\pi\) |
0.319606 | + | 0.947551i | \(0.396449\pi\) | |||||||
\(38\) | −10.4878 | − | 35.7181i | −0.275994 | − | 0.939951i | ||||
\(39\) | 8.16604 | + | 43.6702i | 0.209386 | + | 1.11975i | ||||
\(40\) | 10.0035 | − | 11.5446i | 0.250086 | − | 0.288615i | ||||
\(41\) | 33.1242 | + | 51.5422i | 0.807906 | + | 1.25713i | 0.963073 | + | 0.269239i | \(0.0867721\pi\) |
−0.155167 | + | 0.987888i | \(0.549592\pi\) | |||||||
\(42\) | −22.9655 | + | 39.2733i | −0.546798 | + | 0.935078i | ||||
\(43\) | 12.8834 | + | 3.78290i | 0.299614 | + | 0.0879745i | 0.428084 | − | 0.903739i | \(-0.359189\pi\) |
−0.128471 | + | 0.991713i | \(0.541007\pi\) | |||||||
\(44\) | −0.716972 | − | 0.327430i | −0.0162948 | − | 0.00744159i | ||||
\(45\) | −29.6216 | − | 38.5383i | −0.658257 | − | 0.856406i | ||||
\(46\) | −19.4884 | + | 26.0423i | −0.423661 | + | 0.566137i | ||||
\(47\) | − | 43.9125i | − | 0.934308i | −0.884176 | − | 0.467154i | \(-0.845279\pi\) | ||
0.884176 | − | 0.467154i | \(-0.154721\pi\) | |||||||
\(48\) | 1.20685 | − | 11.9392i | 0.0251426 | − | 0.248732i | ||||
\(49\) | −63.3161 | − | 18.5913i | −1.29217 | − | 0.379414i | ||||
\(50\) | −4.45510 | + | 3.86037i | −0.0891021 | + | 0.0772074i | ||||
\(51\) | −38.9968 | − | 31.0187i | −0.764644 | − | 0.608210i | ||||
\(52\) | 19.3957 | − | 22.3839i | 0.372995 | − | 0.430459i | ||||
\(53\) | 93.2511 | + | 13.4075i | 1.75946 | + | 0.252971i | 0.944957 | − | 0.327195i | \(-0.106103\pi\) |
0.814498 | + | 0.580166i | \(0.197012\pi\) | |||||||
\(54\) | −36.4532 | − | 11.3651i | −0.675059 | − | 0.210465i | ||||
\(55\) | 1.79056 | + | 1.15072i | 0.0325557 | + | 0.0209223i | ||||
\(56\) | 30.0214 | − | 4.31642i | 0.536096 | − | 0.0770789i | ||||
\(57\) | 54.1769 | + | 57.4532i | 0.950472 | + | 1.00795i | ||||
\(58\) | −23.3623 | − | 51.1564i | −0.402799 | − | 0.882007i | ||||
\(59\) | −49.2402 | + | 7.07968i | −0.834580 | + | 0.119994i | −0.546340 | − | 0.837564i | \(-0.683979\pi\) |
−0.288240 | + | 0.957558i | \(0.593070\pi\) | |||||||
\(60\) | −7.81406 | + | 31.4484i | −0.130234 | + | 0.524140i | ||||
\(61\) | 66.8186 | − | 19.6197i | 1.09539 | − | 0.321635i | 0.316369 | − | 0.948636i | \(-0.397536\pi\) |
0.779018 | + | 0.627001i | \(0.215718\pi\) | |||||||
\(62\) | 5.15348 | + | 0.740959i | 0.0831207 | + | 0.0119510i | ||||
\(63\) | 5.66012 | − | 96.3436i | 0.0898432 | − | 1.52926i | ||||
\(64\) | −6.73003 | + | 4.32513i | −0.105157 | + | 0.0675801i | ||||
\(65\) | −60.4451 | + | 52.3760i | −0.929924 | + | 0.805784i | ||||
\(66\) | 1.67055 | − | 0.0703028i | 0.0253113 | − | 0.00106519i | ||||
\(67\) | −6.12825 | + | 13.4190i | −0.0914664 | + | 0.200283i | −0.949836 | − | 0.312748i | \(-0.898750\pi\) |
0.858370 | + | 0.513032i | \(0.171478\pi\) | |||||||
\(68\) | 33.2192i | 0.488518i | ||||||||
\(69\) | 11.8081 | − | 67.9821i | 0.171132 | − | 0.985248i | ||||
\(70\) | −81.9029 | −1.17004 | ||||||||
\(71\) | −19.5966 | − | 8.94947i | −0.276009 | − | 0.126049i | 0.272602 | − | 0.962127i | \(-0.412116\pi\) |
−0.548611 | + | 0.836078i | \(0.684843\pi\) | |||||||
\(72\) | 9.19851 | + | 23.7358i | 0.127757 | + | 0.329664i | ||||
\(73\) | 7.26416 | + | 8.38328i | 0.0995090 | + | 0.114840i | 0.803320 | − | 0.595548i | \(-0.203065\pi\) |
−0.703811 | + | 0.710388i | \(0.748520\pi\) | |||||||
\(74\) | 44.1969 | + | 68.7718i | 0.597256 | + | 0.929349i | ||||
\(75\) | 4.71192 | − | 11.5834i | 0.0628256 | − | 0.154445i | ||||
\(76\) | 7.49225 | − | 52.1097i | 0.0985822 | − | 0.685654i | ||||
\(77\) | 1.19062 | + | 4.05487i | 0.0154626 | + | 0.0526606i | ||||
\(78\) | −15.1507 | + | 60.9754i | −0.194240 | + | 0.781736i | ||||
\(79\) | 6.16555 | + | 42.8824i | 0.0780450 | + | 0.542815i | 0.990907 | + | 0.134547i | \(0.0429579\pi\) |
−0.912862 | + | 0.408268i | \(0.866133\pi\) | |||||||
\(80\) | 19.6509 | − | 8.97425i | 0.245636 | − | 0.112178i | ||||
\(81\) | 79.8564 | − | 13.5629i | 0.985882 | − | 0.167443i | ||||
\(82\) | 12.3311 | + | 85.7646i | 0.150379 | + | 1.04591i | ||||
\(83\) | 29.2656 | − | 45.5382i | 0.352598 | − | 0.548653i | −0.618970 | − | 0.785415i | \(-0.712450\pi\) |
0.971568 | + | 0.236762i | \(0.0760861\pi\) | |||||||
\(84\) | −52.6156 | + | 37.0298i | −0.626377 | + | 0.440831i | ||||
\(85\) | 12.7663 | − | 88.7917i | 0.150192 | − | 1.04461i | ||||
\(86\) | 14.3510 | + | 12.4352i | 0.166872 | + | 0.144595i | ||||
\(87\) | 93.3661 | + | 74.2648i | 1.07317 | + | 0.853619i | ||||
\(88\) | −0.729962 | − | 0.842421i | −0.00829503 | − | 0.00957297i | ||||
\(89\) | 11.9471 | − | 40.6882i | 0.134237 | − | 0.457171i | −0.864748 | − | 0.502206i | \(-0.832522\pi\) |
0.998985 | + | 0.0450355i | \(0.0143401\pi\) | |||||||
\(90\) | −15.4649 | − | 66.9784i | −0.171833 | − | 0.744205i | ||||
\(91\) | −158.802 | −1.74507 | ||||||||
\(92\) | −40.3697 | + | 22.0520i | −0.438801 | + | 0.239696i | ||||
\(93\) | −10.4570 | + | 3.55445i | −0.112441 | + | 0.0382199i | ||||
\(94\) | 25.7980 | − | 56.4896i | 0.274446 | − | 0.600954i | ||||
\(95\) | −40.0521 | + | 136.405i | −0.421601 | + | 1.43584i | ||||
\(96\) | 8.56659 | − | 14.6497i | 0.0892353 | − | 0.152601i | ||||
\(97\) | 22.0575 | − | 14.1755i | 0.227397 | − | 0.146139i | −0.421982 | − | 0.906604i | \(-0.638665\pi\) |
0.649379 | + | 0.760465i | \(0.275029\pi\) | |||||||
\(98\) | −70.5286 | − | 61.1134i | −0.719680 | − | 0.623606i | ||||
\(99\) | −3.09117 | + | 1.73930i | −0.0312239 | + | 0.0175687i | ||||
\(100\) | −7.99902 | + | 2.34872i | −0.0799902 | + | 0.0234872i | ||||
\(101\) | 79.1515 | − | 123.162i | 0.783679 | − | 1.21943i | −0.187778 | − | 0.982211i | \(-0.560129\pi\) |
0.971457 | − | 0.237216i | \(-0.0762350\pi\) | |||||||
\(102\) | −31.9430 | − | 62.8130i | −0.313167 | − | 0.615813i | ||||
\(103\) | 10.9393 | + | 23.9537i | 0.106207 | + | 0.232560i | 0.955273 | − | 0.295727i | \(-0.0955618\pi\) |
−0.849066 | + | 0.528287i | \(0.822835\pi\) | |||||||
\(104\) | 38.1011 | − | 17.4002i | 0.366357 | − | 0.167310i | ||||
\(105\) | 154.867 | − | 78.7564i | 1.47493 | − | 0.750061i | ||||
\(106\) | 112.083 | + | 72.0313i | 1.05739 | + | 0.679540i | ||||
\(107\) | 18.3958 | + | 62.6502i | 0.171923 | + | 0.585516i | 0.999701 | + | 0.0244597i | \(0.00778655\pi\) |
−0.827778 | + | 0.561056i | \(0.810395\pi\) | |||||||
\(108\) | −40.2170 | − | 36.0360i | −0.372380 | − | 0.333666i | ||||
\(109\) | 87.4897 | − | 100.968i | 0.802657 | − | 0.926316i | −0.195867 | − | 0.980631i | \(-0.562752\pi\) |
0.998524 | + | 0.0543146i | \(0.0172974\pi\) | |||||||
\(110\) | 1.62737 | + | 2.53224i | 0.0147943 | + | 0.0230203i | ||||
\(111\) | −149.700 | − | 87.5389i | −1.34865 | − | 0.788639i | ||||
\(112\) | 41.1557 | + | 12.0844i | 0.367462 | + | 0.107897i | ||||
\(113\) | −83.3701 | − | 38.0738i | −0.737788 | − | 0.336937i | 0.0108268 | − | 0.999941i | \(-0.496554\pi\) |
−0.748615 | + | 0.663005i | \(0.769281\pi\) | |||||||
\(114\) | 35.9410 | + | 105.737i | 0.315272 | + | 0.927515i | ||||
\(115\) | 116.379 | − | 43.4286i | 1.01199 | − | 0.377640i | ||||
\(116\) | − | 79.5333i | − | 0.685632i | ||||||
\(117\) | −29.9850 | − | 129.865i | −0.256282 | − | 1.10995i | ||||
\(118\) | −67.5025 | − | 19.8205i | −0.572055 | − | 0.167971i | ||||
\(119\) | 134.606 | − | 116.637i | 1.13115 | − | 0.980144i | ||||
\(120\) | −28.5276 | + | 35.8650i | −0.237730 | + | 0.298875i | ||||
\(121\) | −79.1364 | + | 91.3283i | −0.654020 | + | 0.754779i | ||||
\(122\) | 97.4827 | + | 14.0159i | 0.799039 | + | 0.114884i | ||||
\(123\) | −105.786 | − | 150.312i | −0.860050 | − | 1.22205i | ||||
\(124\) | 6.19421 | + | 3.98078i | 0.0499533 | + | 0.0321030i | ||||
\(125\) | −111.362 | + | 16.0114i | −0.890895 | + | 0.128091i | ||||
\(126\) | 63.8817 | − | 120.612i | 0.506998 | − | 0.957242i | ||||
\(127\) | −3.41580 | − | 7.47955i | −0.0268960 | − | 0.0588941i | 0.895707 | − | 0.444644i | \(-0.146670\pi\) |
−0.922603 | + | 0.385750i | \(0.873943\pi\) | |||||||
\(128\) | −11.1986 | + | 1.61011i | −0.0874887 | + | 0.0125790i | ||||
\(129\) | −39.0932 | − | 9.71357i | −0.303048 | − | 0.0752990i | ||||
\(130\) | −108.527 | + | 31.8665i | −0.834827 | + | 0.245127i | ||||
\(131\) | −56.9268 | − | 8.18483i | −0.434555 | − | 0.0624796i | −0.0784339 | − | 0.996919i | \(-0.524992\pi\) |
−0.356121 | + | 0.934440i | \(0.615901\pi\) | |||||||
\(132\) | 2.19032 | + | 0.890983i | 0.0165933 | + | 0.00674987i | ||||
\(133\) | −237.458 | + | 152.605i | −1.78540 | + | 1.14741i | ||||
\(134\) | −15.7669 | + | 13.6621i | −0.117664 | + | 0.101956i | ||||
\(135\) | 93.6473 | + | 111.776i | 0.693684 | + | 0.827971i | ||||
\(136\) | −19.5158 | + | 42.7337i | −0.143499 | + | 0.314218i | ||||
\(137\) | − | 16.4720i | − | 0.120234i | −0.998191 | − | 0.0601168i | \(-0.980853\pi\) | ||
0.998191 | − | 0.0601168i | \(-0.0191473\pi\) | |||||||
\(138\) | 55.1286 | − | 80.5161i | 0.399483 | − | 0.583450i | ||||
\(139\) | 130.331 | 0.937633 | 0.468817 | − | 0.883295i | \(-0.344680\pi\) | ||||
0.468817 | + | 0.883295i | \(0.344680\pi\) | |||||||
\(140\) | −105.361 | − | 48.1168i | −0.752579 | − | 0.343691i | ||||
\(141\) | 5.53910 | + | 131.621i | 0.0392844 | + | 0.933482i | ||||
\(142\) | −19.9517 | − | 23.0254i | −0.140505 | − | 0.162151i | ||||
\(143\) | 3.15531 | + | 4.90976i | 0.0220651 | + | 0.0343340i | ||||
\(144\) | −2.11134 | + | 35.9380i | −0.0146621 | + | 0.249570i | ||||
\(145\) | −30.5651 | + | 212.585i | −0.210794 | + | 1.46610i | ||||
\(146\) | 4.41965 | + | 15.0520i | 0.0302716 | + | 0.103096i | ||||
\(147\) | 192.126 | + | 47.7379i | 1.30698 | + | 0.324748i | ||||
\(148\) | 16.4531 | + | 114.434i | 0.111170 | + | 0.773203i | ||||
\(149\) | −112.968 | + | 51.5906i | −0.758172 | + | 0.346246i | −0.756708 | − | 0.653753i | \(-0.773193\pi\) |
−0.00146444 | + | 0.999999i | \(0.500466\pi\) | |||||||
\(150\) | 12.8665 | − | 12.1328i | 0.0857770 | − | 0.0808855i | ||||
\(151\) | −10.4266 | − | 72.5188i | −0.0690505 | − | 0.480257i | −0.994778 | − | 0.102065i | \(-0.967455\pi\) |
0.925727 | − | 0.378192i | \(-0.123454\pi\) | |||||||
\(152\) | 40.2518 | − | 62.6331i | 0.264815 | − | 0.412060i | ||||
\(153\) | 120.800 | + | 88.0548i | 0.789541 | + | 0.575521i | ||||
\(154\) | −0.850550 | + | 5.91571i | −0.00552306 | + | 0.0384137i | ||||
\(155\) | −15.0267 | − | 13.0207i | −0.0969463 | − | 0.0840045i | ||||
\(156\) | −55.3122 | + | 69.5387i | −0.354566 | + | 0.445761i | ||||
\(157\) | 200.250 | + | 231.101i | 1.27548 | + | 1.47198i | 0.809420 | + | 0.587230i | \(0.199782\pi\) |
0.466061 | + | 0.884753i | \(0.345673\pi\) | |||||||
\(158\) | −17.2613 | + | 58.7867i | −0.109249 | + | 0.372067i | ||||
\(159\) | −281.197 | − | 28.4242i | −1.76854 | − | 0.178769i | ||||
\(160\) | 30.5514 | 0.190946 | ||||||||
\(161\) | 231.099 | + | 86.1529i | 1.43540 | + | 0.535111i | ||||
\(162\) | 110.696 | + | 29.4670i | 0.683311 | + | 0.181895i | ||||
\(163\) | −84.5883 | + | 185.222i | −0.518946 | + | 1.13633i | 0.450890 | + | 0.892579i | \(0.351107\pi\) |
−0.969837 | + | 0.243755i | \(0.921621\pi\) | |||||||
\(164\) | −34.5226 | + | 117.573i | −0.210503 | + | 0.716909i | ||||
\(165\) | −5.51209 | − | 3.22326i | −0.0334066 | − | 0.0195349i | ||||
\(166\) | 64.4007 | − | 41.3878i | 0.387956 | − | 0.249324i | ||||
\(167\) | 242.257 | + | 209.917i | 1.45064 | + | 1.25699i | 0.909274 | + | 0.416198i | \(0.136638\pi\) |
0.541365 | + | 0.840788i | \(0.317908\pi\) | |||||||
\(168\) | −89.4400 | + | 16.7247i | −0.532381 | + | 0.0995517i | ||||
\(169\) | −48.2699 | + | 14.1733i | −0.285621 | + | 0.0838659i | ||||
\(170\) | 68.5866 | − | 106.723i | 0.403451 | − | 0.627782i | ||||
\(171\) | −169.634 | − | 165.373i | −0.992012 | − | 0.967095i | ||||
\(172\) | 11.1558 | + | 24.4278i | 0.0648593 | + | 0.142022i | ||||
\(173\) | −246.272 | + | 112.469i | −1.42354 | + | 0.650109i | −0.970438 | − | 0.241350i | \(-0.922410\pi\) |
−0.453102 | + | 0.891459i | \(0.649683\pi\) | |||||||
\(174\) | 76.4779 | + | 150.387i | 0.439528 | + | 0.864290i | ||||
\(175\) | 37.6028 | + | 24.1659i | 0.214873 | + | 0.138091i | ||||
\(176\) | −0.444123 | − | 1.51254i | −0.00252343 | − | 0.00859400i | ||||
\(177\) | 146.697 | − | 27.4314i | 0.828797 | − | 0.154980i | ||||
\(178\) | 39.2727 | − | 45.3231i | 0.220633 | − | 0.254624i | ||||
\(179\) | −78.1252 | − | 121.565i | −0.436454 | − | 0.679135i | 0.551449 | − | 0.834208i | \(-0.314075\pi\) |
−0.987903 | + | 0.155073i | \(0.950439\pi\) | |||||||
\(180\) | 19.4546 | − | 95.2474i | 0.108081 | − | 0.529152i | ||||
\(181\) | −337.022 | − | 98.9585i | −1.86200 | − | 0.546732i | −0.999148 | − | 0.0412718i | \(-0.986859\pi\) |
−0.862850 | − | 0.505460i | \(-0.831323\pi\) | |||||||
\(182\) | −204.285 | − | 93.2938i | −1.12244 | − | 0.512603i | ||||
\(183\) | −197.804 | + | 67.2356i | −1.08089 | + | 0.367407i | ||||
\(184\) | −64.8873 | + | 4.65141i | −0.352648 | + | 0.0252794i | ||||
\(185\) | − | 312.194i | − | 1.68753i | ||||||
\(186\) | −15.5402 | − | 1.57085i | −0.0835497 | − | 0.00844545i | ||||
\(187\) | −6.28070 | − | 1.84418i | −0.0335866 | − | 0.00986192i | ||||
\(188\) | 66.3737 | − | 57.5131i | 0.353052 | − | 0.305921i | ||||
\(189\) | −4.81263 | + | 289.489i | −0.0254637 | + | 1.53169i | ||||
\(190\) | −131.659 | + | 151.943i | −0.692944 | + | 0.799700i | ||||
\(191\) | 90.4781 | + | 13.0088i | 0.473707 | + | 0.0681088i | 0.375034 | − | 0.927011i | \(-0.377631\pi\) |
0.0986733 | + | 0.995120i | \(0.468540\pi\) | |||||||
\(192\) | 19.6267 | − | 13.8128i | 0.102222 | − | 0.0719418i | ||||
\(193\) | 131.910 | + | 84.7737i | 0.683474 | + | 0.439242i | 0.835760 | − | 0.549094i | \(-0.185027\pi\) |
−0.152286 | + | 0.988336i | \(0.548664\pi\) | |||||||
\(194\) | 36.7030 | − | 5.27710i | 0.189191 | − | 0.0272015i | ||||
\(195\) | 174.568 | − | 164.613i | 0.895221 | − | 0.844171i | ||||
\(196\) | −54.8258 | − | 120.052i | −0.279723 | − | 0.612509i | ||||
\(197\) | −41.1434 | + | 5.91553i | −0.208850 | + | 0.0300281i | −0.245945 | − | 0.969284i | \(-0.579098\pi\) |
0.0370958 | + | 0.999312i | \(0.488189\pi\) | |||||||
\(198\) | −4.99834 | + | 0.421443i | −0.0252441 | + | 0.00212850i | ||||
\(199\) | 43.2978 | − | 12.7134i | 0.217577 | − | 0.0638863i | −0.171127 | − | 0.985249i | \(-0.554741\pi\) |
0.388704 | + | 0.921363i | \(0.372923\pi\) | |||||||
\(200\) | −11.6699 | − | 1.67788i | −0.0583494 | − | 0.00838938i | ||||
\(201\) | 16.6758 | − | 40.9944i | 0.0829643 | − | 0.203952i | ||||
\(202\) | 174.178 | − | 111.937i | 0.862266 | − | 0.554145i | ||||
\(203\) | −322.274 | + | 279.252i | −1.58756 | + | 1.37563i | ||||
\(204\) | −4.19025 | − | 99.5696i | −0.0205405 | − | 0.488086i | ||||
\(205\) | 137.459 | − | 300.994i | 0.670533 | − | 1.46826i | ||||
\(206\) | 37.2411i | 0.180782i | ||||||||
\(207\) | −26.8177 | + | 205.255i | −0.129554 | + | 0.991572i | ||||
\(208\) | 59.2362 | 0.284789 | ||||||||
\(209\) | 9.43635 | + | 4.30944i | 0.0451500 | + | 0.0206193i | ||||
\(210\) | 245.492 | − | 10.3312i | 1.16901 | − | 0.0491961i | ||||
\(211\) | −79.9026 | − | 92.2125i | −0.378685 | − | 0.437026i | 0.534128 | − | 0.845404i | \(-0.320640\pi\) |
−0.912813 | + | 0.408378i | \(0.866095\pi\) | |||||||
\(212\) | 101.868 | + | 158.509i | 0.480507 | + | 0.747684i | ||||
\(213\) | 59.8667 | + | 24.3528i | 0.281064 | + | 0.114332i | ||||
\(214\) | −13.1415 | + | 91.4013i | −0.0614090 | + | 0.427109i | ||||
\(215\) | −20.4306 | − | 69.5803i | −0.0950261 | − | 0.323629i | ||||
\(216\) | −30.5651 | − | 69.9841i | −0.141505 | − | 0.324000i | ||||
\(217\) | −5.61834 | − | 39.0764i | −0.0258910 | − | 0.180076i | ||||
\(218\) | 171.865 | − | 78.4883i | 0.788373 | − | 0.360038i | ||||
\(219\) | −22.8307 | − | 24.2113i | −0.104250 | − | 0.110554i | ||||
\(220\) | 0.605819 | + | 4.21356i | 0.00275372 | + | 0.0191526i | ||||
\(221\) | 132.983 | − | 206.925i | 0.601732 | − | 0.936313i | ||||
\(222\) | −141.148 | − | 200.558i | −0.635804 | − | 0.903414i | ||||
\(223\) | 61.7434 | − | 429.435i | 0.276876 | − | 1.92572i | −0.0910195 | − | 0.995849i | \(-0.529013\pi\) |
0.367896 | − | 0.929867i | \(-0.380078\pi\) | |||||||
\(224\) | 45.8439 | + | 39.7239i | 0.204660 | + | 0.177339i | ||||
\(225\) | −12.6621 | + | 35.3138i | −0.0562762 | + | 0.156950i | ||||
\(226\) | −84.8806 | − | 97.9575i | −0.375578 | − | 0.433440i | ||||
\(227\) | −25.0754 | + | 85.3990i | −0.110464 | + | 0.376207i | −0.996106 | − | 0.0881620i | \(-0.971901\pi\) |
0.885642 | + | 0.464369i | \(0.153719\pi\) | |||||||
\(228\) | −15.8838 | + | 157.136i | −0.0696657 | + | 0.689193i | ||||
\(229\) | 214.562 | 0.936953 | 0.468476 | − | 0.883476i | \(-0.344803\pi\) | ||||
0.468476 | + | 0.883476i | \(0.344803\pi\) | |||||||
\(230\) | 175.225 | + | 12.5038i | 0.761848 | + | 0.0543642i | ||||
\(231\) | −4.08017 | − | 12.0037i | −0.0176631 | − | 0.0519639i | ||||
\(232\) | 46.7247 | − | 102.313i | 0.201399 | − | 0.441003i | ||||
\(233\) | 41.0853 | − | 139.924i | 0.176332 | − | 0.600531i | −0.823134 | − | 0.567847i | \(-0.807776\pi\) |
0.999466 | − | 0.0326840i | \(-0.0104055\pi\) | |||||||
\(234\) | 37.7205 | − | 184.675i | 0.161199 | − | 0.789211i | ||||
\(235\) | −199.513 | + | 128.219i | −0.848991 | + | 0.545613i | ||||
\(236\) | −75.1919 | − | 65.1542i | −0.318610 | − | 0.276077i | ||||
\(237\) | −23.8895 | − | 127.756i | −0.100799 | − | 0.539053i | ||||
\(238\) | 241.682 | − | 70.9643i | 1.01547 | − | 0.298169i | ||||
\(239\) | 83.5642 | − | 130.029i | 0.349641 | − | 0.544052i | −0.621238 | − | 0.783622i | \(-0.713370\pi\) |
0.970879 | + | 0.239570i | \(0.0770063\pi\) | |||||||
\(240\) | −57.7685 | + | 29.3777i | −0.240702 | + | 0.122407i | ||||
\(241\) | 78.5553 | + | 172.012i | 0.325955 | + | 0.713743i | 0.999681 | − | 0.0252384i | \(-0.00803449\pi\) |
−0.673726 | + | 0.738981i | \(0.735307\pi\) | |||||||
\(242\) | −155.456 | + | 70.9945i | −0.642381 | + | 0.293366i | ||||
\(243\) | −237.647 | + | 50.7257i | −0.977970 | + | 0.208748i | ||||
\(244\) | 117.169 | + | 75.2999i | 0.480201 | + | 0.308606i | ||||
\(245\) | 100.407 | + | 341.956i | 0.409826 | + | 1.39574i | ||||
\(246\) | −47.7788 | − | 255.511i | −0.194223 | − | 1.03866i | ||||
\(247\) | −255.275 | + | 294.603i | −1.03350 | + | 1.19272i | ||||
\(248\) | 5.62967 | + | 8.75994i | 0.0227003 | + | 0.0353223i | ||||
\(249\) | −81.9750 | + | 140.185i | −0.329217 | + | 0.562993i | ||||
\(250\) | −152.664 | − | 44.8262i | −0.610656 | − | 0.179305i | ||||
\(251\) | 32.3079 | + | 14.7545i | 0.128717 | + | 0.0587830i | 0.478732 | − | 0.877961i | \(-0.341096\pi\) |
−0.350015 | + | 0.936744i | \(0.613824\pi\) | |||||||
\(252\) | 153.036 | − | 117.628i | 0.607287 | − | 0.466778i | ||||
\(253\) | −1.92819 | − | 8.85684i | −0.00762132 | − | 0.0350073i | ||||
\(254\) | − | 11.6285i | − | 0.0457816i | ||||||
\(255\) | −27.0650 | + | 267.750i | −0.106137 | + | 1.05000i | ||||
\(256\) | −15.3519 | − | 4.50772i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | −113.271 | + | 98.1500i | −0.440744 | + | 0.381906i | −0.846774 | − | 0.531953i | \(-0.821458\pi\) |
0.406030 | + | 0.913860i | \(0.366913\pi\) | |||||||
\(258\) | −44.5834 | − | 35.4623i | −0.172804 | − | 0.137451i | ||||
\(259\) | 405.925 | − | 468.462i | 1.56728 | − | 1.80874i | ||||
\(260\) | −158.332 | − | 22.7648i | −0.608971 | − | 0.0875568i | ||||
\(261\) | −289.218 | − | 210.820i | −1.10812 | − | 0.807741i | ||||
\(262\) | −68.4229 | − | 43.9727i | −0.261156 | − | 0.167835i | ||||
\(263\) | 397.571 | − | 57.1621i | 1.51168 | − | 0.217346i | 0.663950 | − | 0.747777i | \(-0.268879\pi\) |
0.847728 | + | 0.530431i | \(0.177970\pi\) | |||||||
\(264\) | 2.29421 | + | 2.43295i | 0.00869020 | + | 0.00921573i | ||||
\(265\) | −211.366 | − | 462.827i | −0.797608 | − | 1.74652i | ||||
\(266\) | −395.123 | + | 56.8101i | −1.48542 | + | 0.213572i | ||||
\(267\) | −30.6773 | + | 123.464i | −0.114896 | + | 0.462410i | ||||
\(268\) | −28.3091 | + | 8.31230i | −0.105631 | + | 0.0310160i | ||||
\(269\) | −433.262 | − | 62.2937i | −1.61064 | − | 0.231575i | −0.722575 | − | 0.691293i | \(-0.757041\pi\) |
−0.888065 | + | 0.459718i | \(0.847950\pi\) | |||||||
\(270\) | 54.8024 | + | 198.807i | 0.202972 | + | 0.736322i | ||||
\(271\) | −275.606 | + | 177.121i | −1.01700 | + | 0.653584i | −0.939195 | − | 0.343385i | \(-0.888426\pi\) |
−0.0778014 | + | 0.996969i | \(0.524790\pi\) | |||||||
\(272\) | −50.2108 | + | 43.5079i | −0.184599 | + | 0.159956i | ||||
\(273\) | 475.984 | − | 20.0312i | 1.74353 | − | 0.0733742i | ||||
\(274\) | 9.67706 | − | 21.1898i | 0.0353177 | − | 0.0773351i | ||||
\(275\) | − | 1.64275i | − | 0.00597363i | ||||||
\(276\) | 118.220 | − | 71.1897i | 0.428334 | − | 0.257934i | ||||
\(277\) | 78.5506 | 0.283576 | 0.141788 | − | 0.989897i | \(-0.454715\pi\) | ||||
0.141788 | + | 0.989897i | \(0.454715\pi\) | |||||||
\(278\) | 167.660 | + | 76.5676i | 0.603092 | + | 0.275423i | ||||
\(279\) | 30.8950 | − | 11.9730i | 0.110735 | − | 0.0429138i | ||||
\(280\) | −107.270 | − | 123.796i | −0.383107 | − | 0.442129i | ||||
\(281\) | 117.912 | + | 183.475i | 0.419616 | + | 0.652936i | 0.985131 | − | 0.171802i | \(-0.0549590\pi\) |
−0.565515 | + | 0.824738i | \(0.691323\pi\) | |||||||
\(282\) | −70.1998 | + | 172.573i | −0.248936 | + | 0.611962i | ||||
\(283\) | 54.8789 | − | 381.691i | 0.193919 | − | 1.34873i | −0.627593 | − | 0.778541i | \(-0.715960\pi\) |
0.821512 | − | 0.570192i | \(-0.193131\pi\) | |||||||
\(284\) | −12.1390 | − | 41.3416i | −0.0427429 | − | 0.145569i | ||||
\(285\) | 102.844 | − | 413.905i | 0.360856 | − | 1.45230i | ||||
\(286\) | 1.17462 | + | 8.16968i | 0.00410707 | + | 0.0285653i | ||||
\(287\) | 597.627 | − | 272.927i | 2.08232 | − | 0.950966i | ||||
\(288\) | −23.8291 | + | 44.9908i | −0.0827400 | + | 0.156218i | ||||
\(289\) | −1.86727 | − | 12.9871i | −0.00646113 | − | 0.0449382i | ||||
\(290\) | −164.210 | + | 255.515i | −0.566241 | + | 0.881087i | ||||
\(291\) | −64.3260 | + | 45.2713i | −0.221051 | + | 0.155571i | ||||
\(292\) | −3.15730 | + | 21.9595i | −0.0108127 | + | 0.0752039i | ||||
\(293\) | 131.135 | + | 113.629i | 0.447558 | + | 0.387811i | 0.849273 | − | 0.527953i | \(-0.177040\pi\) |
−0.401715 | + | 0.915765i | \(0.631586\pi\) | |||||||
\(294\) | 219.108 | + | 174.282i | 0.745264 | + | 0.592795i | ||||
\(295\) | 175.941 | + | 203.047i | 0.596412 | + | 0.688296i | ||||
\(296\) | −46.0628 | + | 156.876i | −0.155618 | + | 0.529985i | ||||
\(297\) | 9.04591 | − | 5.60321i | 0.0304576 | − | 0.0188660i | ||||
\(298\) | −175.632 | −0.589369 | ||||||||
\(299\) | 339.744 | + | 24.2436i | 1.13627 | + | 0.0810822i | ||||
\(300\) | 23.6796 | − | 8.04893i | 0.0789319 | − | 0.0268298i | ||||
\(301\) | 59.8135 | − | 130.973i | 0.198716 | − | 0.435127i | ||||
\(302\) | 29.1908 | − | 99.4147i | 0.0966582 | − | 0.329188i | ||||
\(303\) | −221.709 | + | 379.144i | −0.731713 | + | 1.25130i | ||||
\(304\) | 88.5765 | − | 56.9247i | 0.291370 | − | 0.187252i | ||||
\(305\) | −284.243 | − | 246.298i | −0.931944 | − | 0.807534i | ||||
\(306\) | 103.668 | + | 184.243i | 0.338783 | + | 0.602101i | ||||
\(307\) | 219.261 | − | 64.3808i | 0.714205 | − | 0.209709i | 0.0956092 | − | 0.995419i | \(-0.469520\pi\) |
0.618596 | + | 0.785709i | \(0.287702\pi\) | |||||||
\(308\) | −4.56955 | + | 7.11036i | −0.0148362 | + | 0.0230856i | ||||
\(309\) | −35.8104 | − | 70.4177i | −0.115891 | − | 0.227889i | ||||
\(310\) | −11.6811 | − | 25.5780i | −0.0376808 | − | 0.0825095i | ||||
\(311\) | 255.677 | − | 116.764i | 0.822113 | − | 0.375447i | 0.0404766 | − | 0.999180i | \(-0.487112\pi\) |
0.781637 | + | 0.623734i | \(0.214385\pi\) | |||||||
\(312\) | −112.007 | + | 56.9605i | −0.358998 | + | 0.182566i | ||||
\(313\) | −372.626 | − | 239.472i | −1.19050 | − | 0.765088i | −0.213212 | − | 0.977006i | \(-0.568393\pi\) |
−0.977287 | + | 0.211918i | \(0.932029\pi\) | |||||||
\(314\) | 121.836 | + | 414.936i | 0.388014 | + | 1.32145i | ||||
\(315\) | −454.256 | + | 255.595i | −1.44208 | + | 0.811413i | ||||
\(316\) | −56.7415 | + | 65.4832i | −0.179562 | + | 0.207225i | ||||
\(317\) | 174.349 | + | 271.292i | 0.549997 | + | 0.855812i | 0.999294 | − | 0.0375706i | \(-0.0119619\pi\) |
−0.449297 | + | 0.893382i | \(0.648326\pi\) | |||||||
\(318\) | −345.037 | − | 201.765i | −1.08502 | − | 0.634480i | ||||
\(319\) | 15.0372 | + | 4.41532i | 0.0471386 | + | 0.0138411i | ||||
\(320\) | 39.3017 | + | 17.9485i | 0.122818 | + | 0.0560891i | ||||
\(321\) | −63.0411 | − | 185.464i | −0.196390 | − | 0.577769i | ||||
\(322\) | 246.676 | + | 246.596i | 0.766074 | + | 0.765826i | ||||
\(323\) | − | 437.211i | − | 1.35360i | ||||||
\(324\) | 125.090 | + | 102.939i | 0.386080 | + | 0.317714i | ||||
\(325\) | 59.2289 | + | 17.3912i | 0.182243 | + | 0.0535113i | ||||
\(326\) | −217.631 | + | 188.578i | −0.667580 | + | 0.578461i | ||||
\(327\) | −249.501 | + | 313.673i | −0.762999 | + | 0.959246i | ||||
\(328\) | −113.483 | + | 130.966i | −0.345984 | + | 0.399287i | ||||
\(329\) | −466.094 | − | 67.0142i | −1.41670 | − | 0.203691i | ||||
\(330\) | −5.19721 | − | 7.38472i | −0.0157491 | − | 0.0223779i | ||||
\(331\) | 295.711 | + | 190.042i | 0.893387 | + | 0.574145i | 0.904822 | − | 0.425790i | \(-0.140004\pi\) |
−0.0114352 | + | 0.999935i | \(0.503640\pi\) | |||||||
\(332\) | 107.161 | − | 15.4074i | 0.322773 | − | 0.0464078i | ||||
\(333\) | 459.745 | + | 243.501i | 1.38062 | + | 0.731236i | ||||
\(334\) | 188.319 | + | 412.362i | 0.563831 | + | 1.23462i | ||||
\(335\) | 78.8618 | − | 11.3386i | 0.235408 | − | 0.0338466i | ||||
\(336\) | −124.882 | − | 31.0298i | −0.371674 | − | 0.0923506i | ||||
\(337\) | 138.349 | − | 40.6230i | 0.410532 | − | 0.120543i | −0.0699441 | − | 0.997551i | \(-0.522282\pi\) |
0.480476 | + | 0.877008i | \(0.340464\pi\) | |||||||
\(338\) | −70.4217 | − | 10.1251i | −0.208348 | − | 0.0299560i | ||||
\(339\) | 254.692 | + | 103.604i | 0.751303 | + | 0.305617i | ||||
\(340\) | 150.929 | − | 96.9961i | 0.443909 | − | 0.285283i | ||||
\(341\) | −1.09651 | + | 0.950133i | −0.00321558 | + | 0.00278631i | ||||
\(342\) | −121.065 | − | 312.396i | −0.353992 | − | 0.913439i | ||||
\(343\) | −75.6803 | + | 165.717i | −0.220642 | + | 0.483139i | ||||
\(344\) | 37.9781i | 0.110401i | ||||||||
\(345\) | −343.350 | + | 144.850i | −0.995216 | + | 0.419856i | ||||
\(346\) | −382.882 | −1.10660 | ||||||||
\(347\) | −588.797 | − | 268.895i | −1.69682 | − | 0.774913i | −0.998235 | − | 0.0593874i | \(-0.981085\pi\) |
−0.698587 | − | 0.715525i | \(-0.746187\pi\) | |||||||
\(348\) | 10.0323 | + | 238.389i | 0.0288284 | + | 0.685026i | ||||
\(349\) | 200.892 | + | 231.842i | 0.575623 | + | 0.664304i | 0.966658 | − | 0.256072i | \(-0.0824284\pi\) |
−0.391035 | + | 0.920376i | \(0.627883\pi\) | |||||||
\(350\) | 34.1757 | + | 53.1784i | 0.0976448 | + | 0.151938i | ||||
\(351\) | 106.256 | + | 385.467i | 0.302725 | + | 1.09820i | ||||
\(352\) | 0.317272 | − | 2.20667i | 0.000901341 | − | 0.00626896i | ||||
\(353\) | −116.032 | − | 395.170i | −0.328704 | − | 1.11946i | −0.943664 | − | 0.330904i | \(-0.892646\pi\) |
0.614961 | − | 0.788558i | \(-0.289172\pi\) | |||||||
\(354\) | 204.829 | + | 50.8943i | 0.578612 | + | 0.143769i | ||||
\(355\) | 16.5585 | + | 115.167i | 0.0466437 | + | 0.324414i | ||||
\(356\) | 77.1475 | − | 35.2321i | 0.216707 | − | 0.0989666i | ||||
\(357\) | −388.750 | + | 366.581i | −1.08893 | + | 1.02684i | ||||
\(358\) | −29.0836 | − | 202.281i | −0.0812390 | − | 0.565029i | ||||
\(359\) | −13.5179 | + | 21.0342i | −0.0376543 | + | 0.0585912i | −0.859570 | − | 0.511017i | \(-0.829269\pi\) |
0.821916 | + | 0.569608i | \(0.192905\pi\) | |||||||
\(360\) | 80.9831 | − | 111.098i | 0.224953 | − | 0.308606i | ||||
\(361\) | −47.2327 | + | 328.511i | −0.130839 | + | 0.910003i | ||||
\(362\) | −375.413 | − | 325.297i | −1.03705 | − | 0.898610i | ||||
\(363\) | 225.679 | − | 283.725i | 0.621706 | − | 0.781611i | ||||
\(364\) | −207.986 | − | 240.029i | −0.571390 | − | 0.659420i | ||||
\(365\) | 16.8783 | − | 57.4823i | 0.0462420 | − | 0.157486i | ||||
\(366\) | −293.957 | − | 29.7141i | −0.803162 | − | 0.0811861i | ||||
\(367\) | −22.4179 | −0.0610841 | −0.0305421 | − | 0.999533i | \(-0.509723\pi\) | ||||
−0.0305421 | + | 0.999533i | \(0.509723\pi\) | |||||||
\(368\) | −86.2046 | − | 32.1367i | −0.234252 | − | 0.0873280i | ||||
\(369\) | 336.038 | + | 437.192i | 0.910672 | + | 1.18480i | ||||
\(370\) | 183.409 | − | 401.611i | 0.495701 | − | 1.08543i | ||||
\(371\) | 284.618 | − | 969.321i | 0.767165 | − | 2.61272i | ||||
\(372\) | −19.0683 | − | 11.1504i | −0.0512590 | − | 0.0299743i | ||||
\(373\) | 135.680 | − | 87.1965i | 0.363754 | − | 0.233771i | −0.345977 | − | 0.938243i | \(-0.612453\pi\) |
0.709732 | + | 0.704472i | \(0.248816\pi\) | |||||||
\(374\) | −6.99615 | − | 6.06220i | −0.0187063 | − | 0.0162091i | ||||
\(375\) | 331.770 | − | 62.0389i | 0.884721 | − | 0.165437i | ||||
\(376\) | 119.172 | − | 34.9921i | 0.316947 | − | 0.0930641i | ||||
\(377\) | −318.387 | + | 495.419i | −0.844527 | + | 1.31411i | ||||
\(378\) | −176.262 | + | 369.575i | −0.466301 | + | 0.977713i | ||||
\(379\) | 94.1528 | + | 206.166i | 0.248424 | + | 0.543973i | 0.992229 | − | 0.124423i | \(-0.0397081\pi\) |
−0.743805 | + | 0.668397i | \(0.766981\pi\) | |||||||
\(380\) | −258.633 | + | 118.114i | −0.680613 | + | 0.310825i | ||||
\(381\) | 11.1818 | + | 21.9879i | 0.0293485 | + | 0.0577111i | ||||
\(382\) | 108.750 | + | 69.8893i | 0.284685 | + | 0.182956i | ||||
\(383\) | 105.139 | + | 358.071i | 0.274515 | + | 0.934912i | 0.975179 | + | 0.221420i | \(0.0710692\pi\) |
−0.700664 | + | 0.713492i | \(0.747113\pi\) | |||||||
\(384\) | 33.3628 | − | 6.23863i | 0.0868824 | − | 0.0162464i | ||||
\(385\) | 14.9465 | − | 17.2492i | 0.0388221 | − | 0.0448031i | ||||
\(386\) | 119.888 | + | 186.550i | 0.310591 | + | 0.483289i | ||||
\(387\) | 118.401 | + | 24.1838i | 0.305946 | + | 0.0624903i | ||||
\(388\) | 50.3155 | + | 14.7740i | 0.129679 | + | 0.0380772i | ||||
\(389\) | −540.833 | − | 246.990i | −1.39032 | − | 0.634936i | −0.427233 | − | 0.904141i | \(-0.640512\pi\) |
−0.963083 | + | 0.269205i | \(0.913239\pi\) | |||||||
\(390\) | 321.275 | − | 109.205i | 0.823782 | − | 0.280012i | ||||
\(391\) | −305.787 | + | 228.986i | −0.782063 | + | 0.585643i | ||||
\(392\) | − | 186.646i | − | 0.476137i | ||||||
\(393\) | 171.662 | + | 17.3521i | 0.436798 | + | 0.0441529i | ||||
\(394\) | −56.4027 | − | 16.5613i | −0.143154 | − | 0.0420338i | ||||
\(395\) | 176.830 | − | 153.224i | 0.447671 | − | 0.387909i | ||||
\(396\) | −6.67752 | − | 2.39430i | −0.0168624 | − | 0.00604621i | ||||
\(397\) | −451.907 | + | 521.529i | −1.13831 | + | 1.31367i | −0.195358 | + | 0.980732i | \(0.562587\pi\) |
−0.942947 | + | 0.332942i | \(0.891959\pi\) | |||||||
\(398\) | 63.1678 | + | 9.08216i | 0.158713 | + | 0.0228195i | ||||
\(399\) | 692.495 | − | 487.363i | 1.73558 | − | 1.22146i | ||||
\(400\) | −14.0266 | − | 9.01434i | −0.0350665 | − | 0.0225358i | ||||
\(401\) | −205.598 | + | 29.5606i | −0.512714 | + | 0.0737172i | −0.393816 | − | 0.919189i | \(-0.628845\pi\) |
−0.118898 | + | 0.992906i | \(0.537936\pi\) | |||||||
\(402\) | 45.5356 | − | 42.9389i | 0.113273 | − | 0.106813i | ||||
\(403\) | −22.6484 | − | 49.5932i | −0.0561996 | − | 0.123060i | ||||
\(404\) | 289.826 | − | 41.6707i | 0.717391 | − | 0.103145i | ||||
\(405\) | −294.793 | − | 323.219i | −0.727884 | − | 0.798072i | ||||
\(406\) | −578.635 | + | 169.902i | −1.42521 | + | 0.418479i | ||||
\(407\) | −22.5492 | − | 3.24209i | −0.0554035 | − | 0.00796582i | ||||
\(408\) | 53.1053 | − | 130.549i | 0.130160 | − | 0.319974i | ||||
\(409\) | −16.4215 | + | 10.5535i | −0.0401505 | + | 0.0258032i | −0.560562 | − | 0.828112i | \(-0.689415\pi\) |
0.520412 | + | 0.853916i | \(0.325779\pi\) | |||||||
\(410\) | 353.659 | − | 306.447i | 0.862584 | − | 0.747433i | ||||
\(411\) | 2.07777 | + | 49.3723i | 0.00505540 | + | 0.120127i | ||||
\(412\) | −21.8786 | + | 47.9074i | −0.0531034 | + | 0.116280i | ||||
\(413\) | 533.447i | 1.29164i | ||||||||
\(414\) | −155.083 | + | 248.288i | −0.374597 | + | 0.599731i | ||||
\(415\) | −292.351 | −0.704461 | ||||||||
\(416\) | 76.2022 | + | 34.8004i | 0.183178 | + | 0.0836548i | ||||
\(417\) | −390.647 | + | 16.4399i | −0.936804 | + | 0.0394242i | ||||
\(418\) | 9.60732 | + | 11.0874i | 0.0229840 | + | 0.0265250i | ||||
\(419\) | 191.895 | + | 298.594i | 0.457983 | + | 0.712635i | 0.991058 | − | 0.133433i | \(-0.0426001\pi\) |
−0.533075 | + | 0.846068i | \(0.678964\pi\) | |||||||
\(420\) | 321.873 | + | 130.933i | 0.766365 | + | 0.311744i | ||||
\(421\) | 62.7524 | − | 436.452i | 0.149056 | − | 1.03670i | −0.768715 | − | 0.639592i | \(-0.779103\pi\) |
0.917770 | − | 0.397112i | \(-0.129988\pi\) | |||||||
\(422\) | −48.6143 | − | 165.565i | −0.115200 | − | 0.392334i | ||||
\(423\) | −33.2052 | − | 393.815i | −0.0784993 | − | 0.931005i | ||||
\(424\) | 37.9221 | + | 263.754i | 0.0894389 | + | 0.622061i | ||||
\(425\) | −62.9782 | + | 28.7612i | −0.148184 | + | 0.0676734i | ||||
\(426\) | 62.7065 | + | 66.4986i | 0.147198 | + | 0.156100i | ||||
\(427\) | −106.276 | − | 739.164i | −0.248889 | − | 1.73106i | ||||
\(428\) | −70.6024 | + | 109.859i | −0.164959 | + | 0.256681i | ||||
\(429\) | −10.0769 | − | 14.3182i | −0.0234892 | − | 0.0333759i | ||||
\(430\) | 14.5952 | − | 101.512i | 0.0339423 | − | 0.236074i | ||||
\(431\) | −31.2029 | − | 27.0375i | −0.0723965 | − | 0.0627320i | 0.617911 | − | 0.786248i | \(-0.287979\pi\) |
−0.690307 | + | 0.723516i | \(0.742525\pi\) | |||||||
\(432\) | 1.79521 | − | 107.985i | 0.00415557 | − | 0.249965i | ||||
\(433\) | 35.1283 | + | 40.5403i | 0.0811278 | + | 0.0936265i | 0.794862 | − | 0.606790i | \(-0.207543\pi\) |
−0.713734 | + | 0.700416i | \(0.752998\pi\) | |||||||
\(434\) | 15.7293 | − | 53.5691i | 0.0362426 | − | 0.123431i | ||||
\(435\) | 64.7988 | − | 641.045i | 0.148963 | − | 1.47367i | ||||
\(436\) | 267.201 | 0.612846 | ||||||||
\(437\) | 531.321 | − | 290.235i | 1.21584 | − | 0.664154i | ||||
\(438\) | −15.1459 | − | 44.5585i | −0.0345796 | − | 0.101732i | ||||
\(439\) | −112.471 | + | 246.278i | −0.256199 | + | 0.560997i | −0.993403 | − | 0.114673i | \(-0.963418\pi\) |
0.737205 | + | 0.675670i | \(0.236145\pi\) | |||||||
\(440\) | −1.69607 | + | 5.77629i | −0.00385471 | + | 0.0131279i | ||||
\(441\) | −581.889 | − | 118.852i | −1.31948 | − | 0.269507i | ||||
\(442\) | 292.636 | − | 188.066i | 0.662073 | − | 0.425489i | ||||
\(443\) | 502.430 | + | 435.358i | 1.13415 | + | 0.982749i | 0.999966 | − | 0.00820658i | \(-0.00261226\pi\) |
0.134187 | + | 0.990956i | \(0.457158\pi\) | |||||||
\(444\) | −63.7504 | − | 340.923i | −0.143582 | − | 0.767845i | ||||
\(445\) | −219.748 | + | 64.5237i | −0.493815 | + | 0.144997i | ||||
\(446\) | 331.714 | − | 516.157i | 0.743754 | − | 1.15730i | ||||
\(447\) | 332.096 | − | 168.885i | 0.742943 | − | 0.377818i | ||||
\(448\) | 35.6370 | + | 78.0341i | 0.0795468 | + | 0.174183i | ||||
\(449\) | −421.589 | + | 192.533i | −0.938951 | + | 0.428805i | −0.825286 | − | 0.564714i | \(-0.808986\pi\) |
−0.113665 | + | 0.993519i | \(0.536259\pi\) | |||||||
\(450\) | −37.0351 | + | 37.9893i | −0.0823002 | + | 0.0844206i | ||||
\(451\) | −20.3128 | − | 13.0542i | −0.0450394 | − | 0.0289451i | ||||
\(452\) | −51.6430 | − | 175.880i | −0.114254 | − | 0.389115i | ||||
\(453\) | 40.3997 | + | 216.049i | 0.0891826 | + | 0.476929i | ||||
\(454\) | −82.4280 | + | 95.1270i | −0.181560 | + | 0.209531i | ||||
\(455\) | 463.682 | + | 721.503i | 1.01908 | + | 1.58572i | ||||
\(456\) | −112.748 | + | 192.810i | −0.247255 | + | 0.422830i | ||||
\(457\) | 234.329 | + | 68.8053i | 0.512756 | + | 0.150559i | 0.527867 | − | 0.849327i | \(-0.322992\pi\) |
−0.0151111 | + | 0.999886i | \(0.504810\pi\) | |||||||
\(458\) | 276.016 | + | 126.052i | 0.602654 | + | 0.275223i | ||||
\(459\) | −373.186 | − | 248.693i | −0.813041 | − | 0.541815i | ||||
\(460\) | 218.066 | + | 119.027i | 0.474057 | + | 0.258755i | ||||
\(461\) | 14.3519i | 0.0311321i | 0.999879 | + | 0.0155660i | \(0.00495503\pi\) | ||||
−0.999879 | + | 0.0155660i | \(0.995045\pi\) | |||||||
\(462\) | 1.80319 | − | 17.8387i | 0.00390301 | − | 0.0386119i | ||||
\(463\) | 238.454 | + | 70.0165i | 0.515020 | + | 0.151223i | 0.528907 | − | 0.848680i | \(-0.322602\pi\) |
−0.0138866 | + | 0.999904i | \(0.504420\pi\) | |||||||
\(464\) | 120.215 | − | 104.166i | 0.259083 | − | 0.224497i | ||||
\(465\) | 46.6826 | + | 37.1321i | 0.100393 | + | 0.0798539i | ||||
\(466\) | 135.056 | − | 155.863i | 0.289820 | − | 0.334470i | ||||
\(467\) | −209.946 | − | 30.1857i | −0.449564 | − | 0.0646375i | −0.0861853 | − | 0.996279i | \(-0.527468\pi\) |
−0.363378 | + | 0.931642i | \(0.618377\pi\) | |||||||
\(468\) | 157.018 | − | 215.409i | 0.335509 | − | 0.460275i | ||||
\(469\) | 133.079 | + | 85.5246i | 0.283750 | + | 0.182355i | ||||
\(470\) | −331.983 | + | 47.7320i | −0.706347 | + | 0.101557i | ||||
\(471\) | −629.371 | − | 667.431i | −1.33624 | − | 1.41705i | ||||
\(472\) | −58.4508 | − | 127.989i | −0.123836 | − | 0.271164i | ||||
\(473\) | −5.23783 | + | 0.753087i | −0.0110736 | + | 0.00159215i | ||||
\(474\) | 44.3228 | − | 178.381i | 0.0935081 | − | 0.376332i | ||||
\(475\) | 105.278 | − | 30.9125i | 0.221638 | − | 0.0650789i | ||||
\(476\) | 352.594 | + | 50.6954i | 0.740744 | + | 0.106503i | ||||
\(477\) | 846.431 | + | 49.7273i | 1.77449 | + | 0.104250i | ||||
\(478\) | 183.888 | − | 118.178i | 0.384703 | − | 0.247234i | ||||
\(479\) | −99.1298 | + | 85.8964i | −0.206952 | + | 0.179325i | −0.752169 | − | 0.658970i | \(-0.770992\pi\) |
0.545218 | + | 0.838294i | \(0.316447\pi\) | |||||||
\(480\) | −91.5731 | + | 3.85373i | −0.190777 | + | 0.00802861i | ||||
\(481\) | 355.613 | − | 778.684i | 0.739320 | − | 1.61889i | ||||
\(482\) | 267.429i | 0.554831i | ||||||||
\(483\) | −703.552 | − | 229.079i | −1.45663 | − | 0.474285i | ||||
\(484\) | −241.689 | −0.499358 | ||||||||
\(485\) | −128.811 | − | 58.8258i | −0.265589 | − | 0.121290i | ||||
\(486\) | −335.513 | − | 74.3597i | −0.690355 | − | 0.153003i | ||||
\(487\) | 624.197 | + | 720.362i | 1.28172 | + | 1.47918i | 0.796302 | + | 0.604899i | \(0.206786\pi\) |
0.485416 | + | 0.874283i | \(0.338668\pi\) | |||||||
\(488\) | 106.490 | + | 165.702i | 0.218218 | + | 0.339553i | ||||
\(489\) | 230.177 | − | 565.846i | 0.470709 | − | 1.15715i | ||||
\(490\) | −71.7288 | + | 498.885i | −0.146385 | + | 1.01813i | ||||
\(491\) | −15.1993 | − | 51.7639i | −0.0309557 | − | 0.105426i | 0.942566 | − | 0.334020i | \(-0.108405\pi\) |
−0.973522 | + | 0.228594i | \(0.926587\pi\) | |||||||
\(492\) | 88.6455 | − | 356.762i | 0.180174 | − | 0.725126i | ||||
\(493\) | −94.0002 | − | 653.786i | −0.190670 | − | 1.32614i | ||||
\(494\) | −501.464 | + | 229.011i | −1.01511 | + | 0.463585i | ||||
\(495\) | 16.9282 | + | 8.96594i | 0.0341984 | + | 0.0181130i | ||||
\(496\) | 2.09575 | + | 14.5763i | 0.00422530 | + | 0.0293876i | ||||
\(497\) | −124.897 | + | 194.344i | −0.251302 | + | 0.391034i | ||||
\(498\) | −187.811 | + | 132.177i | −0.377130 | + | 0.265416i | ||||
\(499\) | −119.767 | + | 832.997i | −0.240014 | + | 1.66933i | 0.412044 | + | 0.911164i | \(0.364815\pi\) |
−0.652058 | + | 0.758169i | \(0.726094\pi\) | |||||||
\(500\) | −170.054 | − | 147.353i | −0.340108 | − | 0.294706i | ||||
\(501\) | −752.606 | − | 598.635i | −1.50221 | − | 1.19488i | ||||
\(502\) | 32.8933 | + | 37.9609i | 0.0655245 | + | 0.0756193i | ||||
\(503\) | −54.3744 | + | 185.182i | −0.108100 | + | 0.368156i | −0.995720 | − | 0.0924214i | \(-0.970539\pi\) |
0.887620 | + | 0.460577i | \(0.152357\pi\) | |||||||
\(504\) | 265.973 | − | 61.4116i | 0.527724 | − | 0.121848i | ||||
\(505\) | −790.691 | −1.56572 | ||||||||
\(506\) | 2.72281 | − | 12.5263i | 0.00538105 | − | 0.0247556i | ||||
\(507\) | 142.894 | − | 48.5711i | 0.281842 | − | 0.0958010i | ||||
\(508\) | 6.83159 | − | 14.9591i | 0.0134480 | − | 0.0294471i | ||||
\(509\) | −176.073 | + | 599.648i | −0.345919 | + | 1.17809i | 0.584439 | + | 0.811438i | \(0.301315\pi\) |
−0.930358 | + | 0.366653i | \(0.880504\pi\) | |||||||
\(510\) | −192.116 | + | 328.537i | −0.376698 | + | 0.644190i | ||||
\(511\) | 100.067 | − | 64.3093i | 0.195826 | − | 0.125850i | ||||
\(512\) | −17.1007 | − | 14.8178i | −0.0333997 | − | 0.0289410i | ||||
\(513\) | 529.312 | + | 474.283i | 1.03180 | + | 0.924529i | ||||
\(514\) | −203.375 | + | 59.7163i | −0.395672 | + | 0.116180i | ||||
\(515\) | 76.8903 | − | 119.644i | 0.149302 | − | 0.232318i | ||||
\(516\) | −36.5191 | − | 71.8114i | −0.0707734 | − | 0.139169i | ||||
\(517\) | 7.18914 | + | 15.7420i | 0.0139055 | + | 0.0304488i | ||||
\(518\) | 797.403 | − | 364.162i | 1.53939 | − | 0.703015i | ||||
\(519\) | 723.977 | − | 368.173i | 1.39495 | − | 0.709389i | ||||
\(520\) | −190.307 | − | 122.303i | −0.365975 | − | 0.235198i | ||||
\(521\) | 86.1067 | + | 293.253i | 0.165272 | + | 0.562865i | 0.999927 | + | 0.0120915i | \(0.00384892\pi\) |
−0.834655 | + | 0.550773i | \(0.814333\pi\) | |||||||
\(522\) | −248.200 | − | 441.114i | −0.475480 | − | 0.845045i | ||||
\(523\) | −676.100 | + | 780.261i | −1.29273 | + | 1.49189i | −0.525042 | + | 0.851077i | \(0.675950\pi\) |
−0.767693 | + | 0.640818i | \(0.778595\pi\) | |||||||
\(524\) | −62.1868 | − | 96.7646i | −0.118677 | − | 0.184665i | ||||
\(525\) | −115.757 | − | 67.6903i | −0.220489 | − | 0.128934i | ||||
\(526\) | 545.023 | + | 160.033i | 1.03617 | + | 0.304246i | ||||
\(527\) | 55.6230 | + | 25.4022i | 0.105546 | + | 0.0482015i | ||||
\(528\) | 1.52198 | + | 4.47760i | 0.00288254 | + | 0.00848030i | ||||
\(529\) | −481.267 | − | 219.598i | −0.909767 | − | 0.415120i | ||||
\(530\) | − | 719.562i | − | 1.35766i | ||||||
\(531\) | −436.242 | + | 100.726i | −0.821547 | + | 0.189690i | ||||
\(532\) | −541.667 | − | 159.048i | −1.01817 | − | 0.298962i | ||||
\(533\) | 685.711 | − | 594.172i | 1.28651 | − | 1.11477i | ||||
\(534\) | −111.997 | + | 140.803i | −0.209732 | + | 0.263676i | ||||
\(535\) | 230.933 | − | 266.511i | 0.431650 | − | 0.498151i | ||||
\(536\) | −41.3005 | − | 5.93812i | −0.0770533 | − | 0.0110786i | ||||
\(537\) | 249.502 | + | 354.518i | 0.464623 | + | 0.660183i | ||||
\(538\) | −520.758 | − | 334.671i | −0.967951 | − | 0.622064i | ||||
\(539\) | 25.7416 | − | 3.70109i | 0.0477581 | − | 0.00686658i | ||||
\(540\) | −46.2976 | + | 287.943i | −0.0857363 | + | 0.533229i | ||||
\(541\) | 260.121 | + | 569.585i | 0.480814 | + | 1.05284i | 0.982239 | + | 0.187635i | \(0.0600822\pi\) |
−0.501424 | + | 0.865201i | \(0.667190\pi\) | |||||||
\(542\) | −458.599 | + | 65.9366i | −0.846124 | + | 0.121654i | ||||
\(543\) | 1022.65 | + | 254.101i | 1.88334 | + | 0.467958i | ||||
\(544\) | −90.1522 | + | 26.4711i | −0.165721 | + | 0.0486601i | ||||
\(545\) | −714.201 | − | 102.687i | −1.31046 | − | 0.188416i | ||||
\(546\) | 624.081 | + | 253.865i | 1.14300 | + | 0.464955i | ||||
\(547\) | −135.734 | + | 87.2308i | −0.248142 | + | 0.159471i | −0.658800 | − | 0.752318i | \(-0.728936\pi\) |
0.410658 | + | 0.911790i | \(0.365299\pi\) | |||||||
\(548\) | 24.8974 | − | 21.5737i | 0.0454332 | − | 0.0393681i | ||||
\(549\) | 584.406 | − | 226.479i | 1.06449 | − | 0.412530i | ||||
\(550\) | 0.965092 | − | 2.11326i | 0.00175471 | − | 0.00384228i | ||||
\(551\) | 1046.77i | 1.89976i | ||||||||
\(552\) | 193.903 | − | 22.1268i | 0.351274 | − | 0.0400847i | ||||
\(553\) | 464.569 | 0.840089 | ||||||||
\(554\) | 101.049 | + | 46.1473i | 0.182398 | + | 0.0832984i | ||||
\(555\) | 39.3800 | + | 935.753i | 0.0709549 | + | 1.68604i | ||||
\(556\) | 170.697 | + | 196.995i | 0.307010 | + | 0.354308i | ||||
\(557\) | 183.638 | + | 285.746i | 0.329691 | + | 0.513009i | 0.966040 | − | 0.258392i | \(-0.0831927\pi\) |
−0.636349 | + | 0.771401i | \(0.719556\pi\) | |||||||
\(558\) | 46.7776 | + | 2.74816i | 0.0838309 | + | 0.00492501i | ||||
\(559\) | 28.2986 | − | 196.821i | 0.0506237 | − | 0.352095i | ||||
\(560\) | −65.2652 | − | 222.273i | −0.116545 | − | 0.396916i | ||||
\(561\) | 19.0581 | + | 4.73540i | 0.0339716 | + | 0.00844100i | ||||
\(562\) | 43.8950 | + | 305.296i | 0.0781050 | + | 0.543232i | ||||
\(563\) | −616.927 | + | 281.741i | −1.09578 | + | 0.500428i | −0.879498 | − | 0.475902i | \(-0.842122\pi\) |
−0.216286 | + | 0.976330i | \(0.569395\pi\) | |||||||
\(564\) | −191.690 | + | 180.759i | −0.339876 | + | 0.320495i | ||||
\(565\) | 70.4451 | + | 489.956i | 0.124682 | + | 0.867179i | ||||
\(566\) | 294.835 | − | 458.773i | 0.520910 | − | 0.810552i | ||||
\(567\) | −22.0909 | − | 868.306i | −0.0389610 | − | 1.53140i | ||||
\(568\) | 8.67182 | − | 60.3138i | 0.0152673 | − | 0.106186i | ||||
\(569\) | −721.747 | − | 625.397i | −1.26845 | − | 1.09912i | −0.990354 | − | 0.138562i | \(-0.955752\pi\) |
−0.278094 | − | 0.960554i | \(-0.589703\pi\) | |||||||
\(570\) | 375.463 | − | 472.033i | 0.658707 | − | 0.828129i | ||||
\(571\) | −276.366 | − | 318.943i | −0.484003 | − | 0.558569i | 0.460250 | − | 0.887789i | \(-0.347760\pi\) |
−0.944253 | + | 0.329220i | \(0.893214\pi\) | |||||||
\(572\) | −3.28852 | + | 11.1997i | −0.00574916 | + | 0.0195798i | ||||
\(573\) | −272.835 | − | 27.5790i | −0.476152 | − | 0.0481309i | ||||
\(574\) | 929.137 | 1.61870 | ||||||||
\(575\) | −76.7590 | − | 57.4416i | −0.133494 | − | 0.0998985i | ||||
\(576\) | −57.0856 | + | 43.8775i | −0.0991069 | + | 0.0761763i | ||||
\(577\) | 257.453 | − | 563.744i | 0.446193 | − | 0.977027i | −0.544227 | − | 0.838938i | \(-0.683177\pi\) |
0.990420 | − | 0.138088i | \(-0.0440958\pi\) | |||||||
\(578\) | 5.22767 | − | 17.8038i | 0.00904442 | − | 0.0308024i | ||||
\(579\) | −406.075 | − | 237.457i | −0.701338 | − | 0.410116i | ||||
\(580\) | −361.353 | + | 232.228i | −0.623023 | + | 0.400393i | ||||
\(581\) | −438.687 | − | 380.125i | −0.755056 | − | 0.654260i | ||||
\(582\) | −109.346 | + | 20.4470i | −0.187880 | + | 0.0351323i | ||||
\(583\) | −35.6242 | + | 10.4602i | −0.0611050 | + | 0.0179421i | ||||
\(584\) | −16.9625 | + | 26.3942i | −0.0290454 | + | 0.0451955i | ||||
\(585\) | −502.477 | + | 515.423i | −0.858935 | + | 0.881066i | ||||
\(586\) | 101.938 | + | 223.213i | 0.173956 | + | 0.380910i | ||||
\(587\) | 156.945 | − | 71.6746i | 0.267369 | − | 0.122103i | −0.277220 | − | 0.960807i | \(-0.589413\pi\) |
0.544589 | + | 0.838703i | \(0.316686\pi\) | |||||||
\(588\) | 179.475 | + | 352.921i | 0.305230 | + | 0.600206i | ||||
\(589\) | −81.5244 | − | 52.3926i | −0.138412 | − | 0.0889517i | ||||
\(590\) | 107.046 | + | 364.566i | 0.181434 | + | 0.617908i | ||||
\(591\) | 122.575 | − | 22.9207i | 0.207402 | − | 0.0387829i | ||||
\(592\) | −151.418 | + | 174.746i | −0.255774 | + | 0.295178i | ||||
\(593\) | −337.243 | − | 524.761i | −0.568707 | − | 0.884925i | 0.431142 | − | 0.902284i | \(-0.358111\pi\) |
−0.999849 | + | 0.0173585i | \(0.994474\pi\) | |||||||
\(594\) | 14.9286 | − | 1.89370i | 0.0251323 | − | 0.00318805i | ||||
\(595\) | −922.966 | − | 271.007i | −1.55120 | − | 0.455475i | ||||
\(596\) | −225.935 | − | 103.181i | −0.379086 | − | 0.173123i | ||||
\(597\) | −128.175 | + | 43.5680i | −0.214698 | + | 0.0729782i | ||||
\(598\) | 422.809 | + | 230.782i | 0.707038 | + | 0.385923i | ||||
\(599\) | − | 30.7186i | − | 0.0512831i | −0.999671 | − | 0.0256415i | \(-0.991837\pi\) | ||
0.999671 | − | 0.0256415i | \(-0.00816285\pi\) | |||||||
\(600\) | 35.1904 | + | 3.55715i | 0.0586506 | + | 0.00592858i | ||||
\(601\) | 149.549 | + | 43.9115i | 0.248834 | + | 0.0730641i | 0.403771 | − | 0.914860i | \(-0.367699\pi\) |
−0.154937 | + | 0.987924i | \(0.549518\pi\) | |||||||
\(602\) | 153.890 | − | 133.346i | 0.255631 | − | 0.221505i | ||||
\(603\) | −44.8122 | + | 124.978i | −0.0743154 | + | 0.207260i | ||||
\(604\) | 95.9561 | − | 110.739i | 0.158868 | − | 0.183343i | ||||
\(605\) | 646.012 | + | 92.8825i | 1.06779 | + | 0.153525i | ||||
\(606\) | −507.951 | + | 357.485i | −0.838203 | + | 0.589910i | ||||
\(607\) | −134.984 | − | 86.7489i | −0.222379 | − | 0.142914i | 0.424708 | − | 0.905330i | \(-0.360377\pi\) |
−0.647087 | + | 0.762416i | \(0.724013\pi\) | |||||||
\(608\) | 147.389 | − | 21.1913i | 0.242415 | − | 0.0348541i | ||||
\(609\) | 930.743 | − | 877.667i | 1.52831 | − | 1.44116i | ||||
\(610\) | −220.958 | − | 483.830i | −0.362226 | − | 0.793163i | ||||
\(611\) | −643.683 | + | 92.5476i | −1.05349 | + | 0.151469i | ||||
\(612\) | 25.1193 | + | 297.916i | 0.0410446 | + | 0.486791i | ||||
\(613\) | −152.591 | + | 44.8049i | −0.248926 | + | 0.0730912i | −0.403815 | − | 0.914841i | \(-0.632316\pi\) |
0.154889 | + | 0.987932i | \(0.450498\pi\) | |||||||
\(614\) | 319.883 | + | 45.9922i | 0.520982 | + | 0.0749059i | ||||
\(615\) | −374.046 | + | 919.522i | −0.608205 | + | 1.49516i | ||||
\(616\) | −10.0556 | + | 6.46232i | −0.0163240 | + | 0.0104908i | ||||
\(617\) | 654.300 | − | 566.954i | 1.06045 | − | 0.918889i | 0.0635863 | − | 0.997976i | \(-0.479746\pi\) |
0.996868 | + | 0.0790878i | \(0.0252007\pi\) | |||||||
\(618\) | −4.69757 | − | 111.624i | −0.00760124 | − | 0.180622i | ||||
\(619\) | −235.278 | + | 515.187i | −0.380094 | + | 0.832289i | 0.618813 | + | 0.785538i | \(0.287614\pi\) |
−0.998907 | + | 0.0467505i | \(0.985113\pi\) | |||||||
\(620\) | − | 39.7663i | − | 0.0641392i | ||||||
\(621\) | 54.4913 | − | 618.605i | 0.0877476 | − | 0.996143i | ||||
\(622\) | 397.504 | 0.639074 | ||||||||
\(623\) | −413.638 | − | 188.902i | −0.663946 | − | 0.303214i | ||||
\(624\) | −177.551 | + | 7.47202i | −0.284537 | + | 0.0119744i | ||||
\(625\) | 466.152 | + | 537.968i | 0.745843 | + | 0.860749i | ||||
\(626\) | −338.665 | − | 526.973i | −0.540999 | − | 0.841810i | ||||
\(627\) | −28.8276 | − | 11.7266i | −0.0459770 | − | 0.0187027i | ||||
\(628\) | −87.0372 | + | 605.357i | −0.138594 | + | 0.963944i | ||||
\(629\) | 270.499 | + | 921.234i | 0.430045 | + | 1.46460i | ||||
\(630\) | −734.520 | + | 61.9323i | −1.16590 | + | 0.0983053i | ||||
\(631\) | −115.513 | − | 803.410i | −0.183063 | − | 1.27323i | −0.849467 | − | 0.527642i | \(-0.823076\pi\) |
0.666404 | − | 0.745591i | \(-0.267833\pi\) | |||||||
\(632\) | −111.464 | + | 50.9037i | −0.176366 | + | 0.0805438i | ||||
\(633\) | 251.127 | + | 266.314i | 0.396726 | + | 0.420717i | ||||
\(634\) | 64.9047 | + | 451.422i | 0.102373 | + | 0.712022i | ||||
\(635\) | −24.0090 | + | 37.3588i | −0.0378095 | + | 0.0588327i | ||||
\(636\) | −325.327 | − | 462.257i | −0.511520 | − | 0.726819i | ||||
\(637\) | −139.075 | + | 967.290i | −0.218328 | + | 1.51851i | ||||
\(638\) | 16.7501 | + | 14.5141i | 0.0262541 | + | 0.0227493i | ||||
\(639\) | −182.513 | − | 65.4421i | −0.285623 | − | 0.102413i | ||||
\(640\) | 40.0138 | + | 46.1784i | 0.0625216 | + | 0.0721537i | ||||
\(641\) | −173.498 | + | 590.880i | −0.270668 | + | 0.921809i | 0.706209 | + | 0.708004i | \(0.250404\pi\) |
−0.976876 | + | 0.213806i | \(0.931414\pi\) | |||||||
\(642\) | 27.8604 | − | 275.619i | 0.0433963 | − | 0.429313i | ||||
\(643\) | 674.651 | 1.04922 | 0.524612 | − | 0.851342i | \(-0.324210\pi\) | ||||
0.524612 | + | 0.851342i | \(0.324210\pi\) | |||||||
\(644\) | 172.456 | + | 462.143i | 0.267789 | + | 0.717613i | ||||
\(645\) | 70.0145 | + | 205.979i | 0.108550 | + | 0.319347i | ||||
\(646\) | 256.855 | − | 562.435i | 0.397609 | − | 0.870642i | ||||
\(647\) | −208.591 | + | 710.394i | −0.322397 | + | 1.09798i | 0.625717 | + | 0.780050i | \(0.284807\pi\) |
−0.948114 | + | 0.317932i | \(0.897012\pi\) | |||||||
\(648\) | 100.442 | + | 205.911i | 0.155003 | + | 0.317764i | ||||
\(649\) | 16.4929 | − | 10.5993i | 0.0254128 | − | 0.0163318i | ||||
\(650\) | 65.9758 | + | 57.1684i | 0.101501 | + | 0.0879513i | ||||
\(651\) | 21.7692 | + | 116.417i | 0.0334396 | + | 0.178828i | ||||
\(652\) | −390.751 | + | 114.735i | −0.599311 | + | 0.175974i | ||||
\(653\) | −0.916629 | + | 1.42630i | −0.00140372 | + | 0.00218423i | −0.841955 | − | 0.539548i | \(-0.818595\pi\) |
0.840551 | + | 0.541732i | \(0.182231\pi\) | |||||||
\(654\) | −505.240 | + | 256.936i | −0.772538 | + | 0.392868i | ||||
\(655\) | 129.032 | + | 282.541i | 0.196996 | + | 0.431360i | ||||
\(656\) | −222.927 | + | 101.807i | −0.339827 | + | 0.155194i | ||||
\(657\) | 71.4854 | + | 69.6899i | 0.108806 | + | 0.106073i | ||||
\(658\) | −560.220 | − | 360.031i | −0.851398 | − | 0.547160i | ||||
\(659\) | −119.422 | − | 406.715i | −0.181217 | − | 0.617169i | −0.999125 | − | 0.0418202i | \(-0.986684\pi\) |
0.817908 | − | 0.575349i | \(-0.195134\pi\) | |||||||
\(660\) | −2.34734 | − | 12.5531i | −0.00355658 | − | 0.0190198i | ||||
\(661\) | 191.583 | − | 221.099i | 0.289839 | − | 0.334492i | −0.592092 | − | 0.805870i | \(-0.701698\pi\) |
0.881931 | + | 0.471378i | \(0.156243\pi\) | |||||||
\(662\) | 268.760 | + | 418.199i | 0.405982 | + | 0.631720i | ||||
\(663\) | −372.494 | + | 637.001i | −0.561831 | + | 0.960786i | ||||
\(664\) | 146.905 | + | 43.1351i | 0.221242 | + | 0.0649625i | ||||
\(665\) | 1386.70 | + | 633.284i | 2.08526 | + | 0.952307i | ||||
\(666\) | 448.369 | + | 583.337i | 0.673227 | + | 0.875882i | ||||
\(667\) | 732.113 | − | 548.238i | 1.09762 | − | 0.821946i | ||||
\(668\) | 641.103i | 0.959735i | ||||||||
\(669\) | −130.898 | + | 1294.95i | −0.195662 | + | 1.93565i | ||||
\(670\) | 108.110 | + | 31.7440i | 0.161359 | + | 0.0473791i | ||||
\(671\) | −20.7415 | + | 17.9726i | −0.0309113 | + | 0.0267848i | ||||
\(672\) | −142.421 | − | 113.284i | −0.211936 | − | 0.168577i | ||||
\(673\) | −185.795 | + | 214.419i | −0.276070 | + | 0.318602i | −0.876805 | − | 0.480847i | \(-0.840329\pi\) |
0.600735 | + | 0.799448i | \(0.294875\pi\) | |||||||
\(674\) | 201.840 | + | 29.0202i | 0.299466 | + | 0.0430567i | ||||
\(675\) | 33.4984 | − | 107.445i | 0.0496272 | − | 0.159177i | ||||
\(676\) | −84.6431 | − | 54.3968i | −0.125212 | − | 0.0804687i | ||||
\(677\) | 1095.47 | − | 157.504i | 1.61812 | − | 0.232650i | 0.727071 | − | 0.686562i | \(-0.240881\pi\) |
0.891047 | + | 0.453912i | \(0.149972\pi\) | |||||||
\(678\) | 266.773 | + | 282.906i | 0.393470 | + | 0.417265i | ||||
\(679\) | −116.799 | − | 255.755i | −0.172017 | − | 0.376664i | ||||
\(680\) | 251.141 | − | 36.1086i | 0.369325 | − | 0.0531009i | ||||
\(681\) | 64.3875 | − | 259.133i | 0.0945485 | − | 0.380519i | ||||
\(682\) | −1.96876 | + | 0.578080i | −0.00288674 | + | 0.000847624i | ||||
\(683\) | 236.156 | + | 33.9541i | 0.345763 | + | 0.0497132i | 0.313009 | − | 0.949750i | \(-0.398663\pi\) |
0.0327542 | + | 0.999463i | \(0.489572\pi\) | |||||||
\(684\) | 27.7881 | − | 472.995i | 0.0406259 | − | 0.691513i | ||||
\(685\) | −74.8392 | + | 48.0962i | −0.109254 | + | 0.0702135i | ||||
\(686\) | −194.712 | + | 168.719i | −0.283837 | + | 0.245946i | ||||
\(687\) | −643.117 | + | 27.0647i | −0.936124 | + | 0.0393956i | ||||
\(688\) | −22.3116 | + | 48.8556i | −0.0324296 | + | 0.0710110i | ||||
\(689\) | − | 1395.16i | − | 2.02491i | ||||||
\(690\) | −526.787 | − | 15.3753i | −0.763460 | − | 0.0222831i | ||||
\(691\) | 1088.08 | 1.57464 | 0.787320 | − | 0.616545i | \(-0.211468\pi\) | ||||
0.787320 | + | 0.616545i | \(0.211468\pi\) | |||||||
\(692\) | −492.545 | − | 224.938i | −0.711770 | − | 0.325055i | ||||
\(693\) | 13.7438 | + | 35.4645i | 0.0198324 | + | 0.0511753i | ||||
\(694\) | −599.465 | − | 691.820i | −0.863783 | − | 0.996858i | ||||
\(695\) | −380.551 | − | 592.149i | −0.547555 | − | 0.852012i | ||||
\(696\) | −127.144 | + | 312.561i | −0.182679 | + | 0.449081i | ||||
\(697\) | −144.826 | + | 1007.29i | −0.207784 | + | 1.44517i | ||||
\(698\) | 122.227 | + | 416.266i | 0.175110 | + | 0.596370i | ||||
\(699\) | −105.497 | + | 424.583i | −0.150926 | + | 0.607415i | ||||
\(700\) | 12.7225 | + | 88.4872i | 0.0181750 | + | 0.126410i | ||||
\(701\) | −502.985 | + | 229.706i | −0.717526 | + | 0.327683i | −0.740503 | − | 0.672053i | \(-0.765413\pi\) |
0.0229774 | + | 0.999736i | \(0.492685\pi\) | |||||||
\(702\) | −89.7666 | + | 558.294i | −0.127873 | + | 0.795291i | ||||
\(703\) | −216.546 | − | 1506.11i | −0.308032 | − | 2.14241i | ||||
\(704\) | 1.70453 | − | 2.65230i | 0.00242121 | − | 0.00376748i | ||||
\(705\) | 581.836 | − | 409.484i | 0.825299 | − | 0.580828i | ||||
\(706\) | 82.8910 | − | 576.519i | 0.117409 | − | 0.816600i | ||||
\(707\) | −1186.47 | − | 1028.08i | −1.67818 | − | 1.45415i | ||||
\(708\) | 233.595 | + | 185.805i | 0.329936 | + | 0.262436i | ||||
\(709\) | −105.894 | − | 122.209i | −0.149357 | − | 0.172368i | 0.676141 | − | 0.736772i | \(-0.263651\pi\) |
−0.825498 | + | 0.564405i | \(0.809106\pi\) | |||||||
\(710\) | −46.3578 | + | 157.880i | −0.0652927 | + | 0.222367i | ||||
\(711\) | 87.7200 | + | 379.915i | 0.123376 | + | 0.534338i | ||||
\(712\) | 119.942 | 0.168458 | ||||||||
\(713\) | 6.05437 | + | 84.4586i | 0.00849141 | + | 0.118455i | ||||
\(714\) | −715.454 | + | 243.190i | −1.00204 | + | 0.340603i | ||||
\(715\) | 13.0940 | − | 28.6718i | 0.0183133 | − | 0.0401004i | ||||
\(716\) | 81.4234 | − | 277.303i | 0.113720 | − | 0.387294i | ||||
\(717\) | −234.069 | + | 400.281i | −0.326457 | + | 0.558272i | ||||
\(718\) | −29.7469 | + | 19.1172i | −0.0414302 | + | 0.0266256i | ||||
\(719\) | −826.495 | − | 716.162i | −1.14951 | − | 0.996053i | −0.999973 | − | 0.00729656i | \(-0.997677\pi\) |
−0.149533 | − | 0.988757i | \(-0.547777\pi\) | |||||||
\(720\) | 169.446 | − | 95.3420i | 0.235342 | − | 0.132419i | ||||
\(721\) | 270.943 | − | 79.5559i | 0.375787 | − | 0.110341i | ||||
\(722\) | −253.756 | + | 394.852i | −0.351463 | + | 0.546887i | ||||
\(723\) | −257.155 | − | 505.671i | −0.355678 | − | 0.699406i | ||||
\(724\) | −291.829 | − | 639.016i | −0.403078 | − | 0.882619i | ||||
\(725\) | 150.782 | − | 68.8599i | 0.207975 | − | 0.0949791i | ||||
\(726\) | 457.001 | − | 232.404i | 0.629478 | − | 0.320116i | ||||
\(727\) | −151.556 | − | 97.3992i | −0.208468 | − | 0.133974i | 0.432241 | − | 0.901758i | \(-0.357723\pi\) |
−0.640709 | + | 0.767784i | \(0.721359\pi\) | |||||||
\(728\) | −126.543 | − | 430.965i | −0.173823 | − | 0.591985i | ||||
\(729\) | 705.911 | − | 182.019i | 0.968328 | − | 0.249683i | ||||
\(730\) | 55.4825 | − | 64.0302i | 0.0760035 | − | 0.0877127i | ||||
\(731\) | 120.575 | + | 187.618i | 0.164945 | + | 0.256660i | ||||
\(732\) | −360.694 | − | 210.920i | −0.492752 | − | 0.288143i | ||||
\(733\) | −185.415 | − | 54.4428i | −0.252954 | − | 0.0742739i | 0.152797 | − | 0.988258i | \(-0.451172\pi\) |
−0.405751 | + | 0.913984i | \(0.632990\pi\) | |||||||
\(734\) | −28.8387 | − | 13.1702i | −0.0392897 | − | 0.0179430i | ||||
\(735\) | −344.090 | − | 1012.30i | −0.468150 | − | 1.37727i | ||||
\(736\) | −92.0149 | − | 91.9851i | −0.125020 | − | 0.124980i | ||||
\(737\) | − | 5.81380i | − | 0.00788847i | ||||||
\(738\) | 175.440 | + | 759.828i | 0.237723 | + | 1.02958i | ||||
\(739\) | 225.687 | + | 66.2678i | 0.305396 | + | 0.0896722i | 0.430840 | − | 0.902428i | \(-0.358217\pi\) |
−0.125444 | + | 0.992101i | \(0.540036\pi\) | |||||||
\(740\) | 471.881 | − | 408.887i | 0.637677 | − | 0.552550i | ||||
\(741\) | 727.986 | − | 915.227i | 0.982437 | − | 1.23512i | ||||
\(742\) | 935.599 | − | 1079.74i | 1.26091 | − | 1.45517i | ||||
\(743\) | 207.303 | + | 29.8056i | 0.279008 | + | 0.0401153i | 0.280398 | − | 0.959884i | \(-0.409533\pi\) |
−0.00139041 | + | 0.999999i | \(0.500443\pi\) | |||||||
\(744\) | −17.9790 | − | 25.5464i | −0.0241654 | − | 0.0343366i | ||||
\(745\) | 564.250 | + | 362.621i | 0.757382 | + | 0.486740i | ||||
\(746\) | 225.768 | − | 32.4605i | 0.302638 | − | 0.0435128i | ||||
\(747\) | 228.025 | − | 430.524i | 0.305254 | − | 0.576338i | ||||
\(748\) | −5.43849 | − | 11.9086i | −0.00727071 | − | 0.0159206i | ||||
\(749\) | 693.052 | − | 99.6458i | 0.925303 | − | 0.133038i | ||||
\(750\) | 463.241 | + | 115.103i | 0.617655 | + | 0.153470i | ||||
\(751\) | 154.487 | − | 45.3615i | 0.205709 | − | 0.0604015i | −0.177255 | − | 0.984165i | \(-0.556722\pi\) |
0.382963 | + | 0.923763i | \(0.374904\pi\) | |||||||
\(752\) | 173.862 | + | 24.9976i | 0.231200 | + | 0.0332415i | ||||
\(753\) | −98.6993 | − | 40.1492i | −0.131075 | − | 0.0533190i | ||||
\(754\) | −700.629 | + | 450.267i | −0.929216 | + | 0.597171i | ||||
\(755\) | −299.039 | + | 259.119i | −0.396078 | + | 0.343204i | ||||
\(756\) | −443.866 | + | 371.876i | −0.587124 | + | 0.491899i | ||||
\(757\) | 265.446 | − | 581.245i | 0.350655 | − | 0.767827i | −0.649318 | − | 0.760517i | \(-0.724946\pi\) |
0.999973 | − | 0.00731050i | \(-0.00232703\pi\) | |||||||
\(758\) | 320.528i | 0.422860i | ||||||||
\(759\) | 6.89666 | + | 26.3038i | 0.00908651 | + | 0.0346559i | ||||
\(760\) | −402.099 | −0.529077 | ||||||||
\(761\) | −4.01770 | − | 1.83482i | −0.00527950 | − | 0.00241107i | 0.412774 | − | 0.910834i | \(-0.364560\pi\) |
−0.418053 | + | 0.908423i | \(0.637287\pi\) | |||||||
\(762\) | 1.46682 | + | 34.8547i | 0.00192496 | + | 0.0457411i | ||||
\(763\) | −938.178 | − | 1082.71i | −1.22959 | − | 1.41902i | ||||
\(764\) | 98.8383 | + | 153.795i | 0.129370 | + | 0.201303i | ||||
\(765\) | 47.3492 | − | 805.953i | 0.0618944 | − | 1.05353i | ||||
\(766\) | −75.1091 | + | 522.396i | −0.0980537 | + | 0.681979i | ||||
\(767\) | 207.552 | + | 706.858i | 0.270603 | + | 0.921587i | ||||
\(768\) | 46.5835 | + | 11.5747i | 0.0606556 | + | 0.0150713i | ||||
\(769\) | −26.1750 | − | 182.051i | −0.0340377 | − | 0.236738i | 0.965699 | − | 0.259662i | \(-0.0836113\pi\) |
−0.999737 | + | 0.0229248i | \(0.992702\pi\) | |||||||
\(770\) | 29.3611 | − | 13.4087i | 0.0381312 | − | 0.0174140i | ||||
\(771\) | 327.132 | − | 308.477i | 0.424296 | − | 0.400100i | ||||
\(772\) | 44.6306 | + | 310.413i | 0.0578116 | + | 0.402089i | ||||
\(773\) | 227.208 | − | 353.542i | 0.293930 | − | 0.457364i | −0.662610 | − | 0.748964i | \(-0.730551\pi\) |
0.956540 | + | 0.291600i | \(0.0941877\pi\) | |||||||
\(774\) | 138.105 | + | 100.669i | 0.178430 | + | 0.130064i | ||||
\(775\) | −2.18396 | + | 15.1898i | −0.00281801 | + | 0.0195997i | ||||
\(776\) | 56.0471 | + | 48.5651i | 0.0722256 | + | 0.0625838i | ||||
\(777\) | −1157.61 | + | 1455.35i | −1.48984 | + | 1.87303i | ||||
\(778\) | −550.632 | − | 635.463i | −0.707753 | − | 0.816791i | ||||
\(779\) | 454.365 | − | 1547.43i | 0.583267 | − | 1.98643i | ||||
\(780\) | 477.449 | + | 48.2619i | 0.612114 | + | 0.0618743i | ||||
\(781\) | 8.49027 | 0.0108710 | ||||||||
\(782\) | −527.894 | + | 114.926i | −0.675057 | + | 0.146964i | ||||
\(783\) | 893.480 | + | 595.420i | 1.14110 | + | 0.760434i | ||||
\(784\) | 109.652 | − | 240.103i | 0.139862 | − | 0.306254i | ||||
\(785\) | 465.283 | − | 1584.61i | 0.592718 | − | 2.01861i | ||||
\(786\) | 210.634 | + | 123.171i | 0.267982 | + | 0.156706i | ||||
\(787\) | 731.349 | − | 470.009i | 0.929287 | − | 0.597216i | 0.0139488 | − | 0.999903i | \(-0.495560\pi\) |
0.915338 | + | 0.402686i | \(0.131923\pi\) | |||||||
\(788\) | −62.8277 | − | 54.4405i | −0.0797306 | − | 0.0690869i | ||||
\(789\) | −1184.45 | + | 221.484i | −1.50120 | + | 0.280715i | ||||
\(790\) | 317.493 | − | 93.2245i | 0.401890 | − | 0.118006i | ||||
\(791\) | −531.351 | + | 826.799i | −0.671746 | + | 1.04526i | ||||
\(792\) | −7.18344 | − | 7.00301i | −0.00907000 | − | 0.00884219i | ||||
\(793\) | −428.415 | − | 938.099i | −0.540246 | − | 1.18297i | ||||
\(794\) | −887.730 | + | 405.413i | −1.11805 | + | 0.510595i | ||||
\(795\) | 691.918 | + | 1360.59i | 0.870338 | + | 1.71144i | ||||
\(796\) | 75.9243 | + | 48.7936i | 0.0953823 | + | 0.0612985i | ||||
\(797\) | 311.041 | + | 1059.31i | 0.390265 | + | 1.32912i | 0.887221 | + | 0.461344i | \(0.152633\pi\) |
−0.496957 | + | 0.867775i | \(0.665549\pi\) | |||||||
\(798\) | 1177.15 | − | 220.120i | 1.47513 | − | 0.275840i | ||||
\(799\) | 477.635 | − | 551.221i | 0.597792 | − | 0.689888i | ||||
\(800\) | −12.7482 | − | 19.8366i | −0.0159352 | − | 0.0247957i | ||||
\(801\) | 76.3769 | − | 373.933i | 0.0953519 | − | 0.466832i | ||||
\(802\) | −281.851 | − | 82.7590i | −0.351435 | − | 0.103191i | ||||
\(803\) | −3.97657 | − | 1.81604i | −0.00495214 | − | 0.00226157i | ||||
\(804\) | 83.8036 | − | 28.4857i | 0.104233 | − | 0.0354300i | ||||
\(805\) | −283.353 | − | 1301.54i | −0.351992 | − | 1.61682i | ||||
\(806\) | − | 77.1030i | − | 0.0956612i | ||||||
\(807\) | 1306.49 | + | 132.064i | 1.61895 | + | 0.163648i | ||||
\(808\) | 397.317 | + | 116.663i | 0.491729 | + | 0.144385i | ||||
\(809\) | 333.061 | − | 288.599i | 0.411695 | − | 0.356736i | −0.424254 | − | 0.905543i | \(-0.639464\pi\) |
0.835949 | + | 0.548808i | \(0.184918\pi\) | |||||||
\(810\) | −189.339 | − | 588.980i | −0.233752 | − | 0.727136i | ||||
\(811\) | −558.432 | + | 644.465i | −0.688572 | + | 0.794654i | −0.987161 | − | 0.159727i | \(-0.948939\pi\) |
0.298589 | + | 0.954382i | \(0.403484\pi\) | |||||||
\(812\) | −844.179 | − | 121.375i | −1.03963 | − | 0.149476i | ||||
\(813\) | 803.745 | − | 565.658i | 0.988616 | − | 0.695767i | ||||
\(814\) | −27.1030 | − | 17.4180i | −0.0332960 | − | 0.0213981i | ||||
\(815\) | 1088.53 | − | 156.507i | 1.33562 | − | 0.192033i | ||||
\(816\) | 145.011 | − | 136.742i | 0.177710 | − | 0.167576i | ||||
\(817\) | −146.826 | − | 321.504i | −0.179713 | − | 0.393517i | ||||
\(818\) | −27.3249 | + | 3.92873i | −0.0334046 | + | 0.00480285i | ||||
\(819\) | −1424.16 | + | 120.081i | −1.73890 | + | 0.146619i | ||||
\(820\) | 634.986 | − | 186.449i | 0.774373 | − | 0.227376i | ||||
\(821\) | 449.545 | + | 64.6348i | 0.547558 | + | 0.0787269i | 0.410542 | − | 0.911842i | \(-0.365340\pi\) |
0.137016 | + | 0.990569i | \(0.456249\pi\) | |||||||
\(822\) | −26.3326 | + | 64.7339i | −0.0320348 | + | 0.0787517i | ||||
\(823\) | −168.709 | + | 108.422i | −0.204992 | + | 0.131741i | −0.639109 | − | 0.769116i | \(-0.720697\pi\) |
0.434117 | + | 0.900857i | \(0.357060\pi\) | |||||||
\(824\) | −56.2898 | + | 48.7754i | −0.0683129 | + | 0.0591935i | ||||
\(825\) | 0.207215 | + | 4.92389i | 0.000251170 | + | 0.00596835i | ||||
\(826\) | −313.393 | + | 686.234i | −0.379410 | + | 0.830792i | ||||
\(827\) | 442.249i | 0.534763i | 0.963591 | + | 0.267381i | \(0.0861584\pi\) | ||||
−0.963591 | + | 0.267381i | \(0.913842\pi\) | |||||||
\(828\) | −345.367 | + | 228.292i | −0.417110 | + | 0.275716i | ||||
\(829\) | −756.385 | −0.912406 | −0.456203 | − | 0.889876i | \(-0.650791\pi\) | ||||
−0.456203 | + | 0.889876i | \(0.650791\pi\) | |||||||
\(830\) | −376.085 | − | 171.752i | −0.453114 | − | 0.206930i | ||||
\(831\) | −235.443 | + | 9.90832i | −0.283325 | + | 0.0119234i | ||||
\(832\) | 77.5829 | + | 89.5354i | 0.0932487 | + | 0.107615i | ||||
\(833\) | −592.572 | − | 922.060i | −0.711371 | − | 1.10691i | ||||
\(834\) | −512.192 | − | 208.351i | −0.614140 | − | 0.249822i | ||||
\(835\) | 246.379 | − | 1713.60i | 0.295065 | − | 2.05222i | ||||
\(836\) | 5.84528 | + | 19.9072i | 0.00699196 | + | 0.0238124i | ||||
\(837\) | −91.0927 | + | 39.7842i | −0.108832 | + | 0.0475319i | ||||
\(838\) | 71.4364 | + | 496.851i | 0.0852463 | + | 0.592901i | ||||
\(839\) | −802.090 | + | 366.302i | −0.956007 | + | 0.436594i | −0.831438 | − | 0.555617i | \(-0.812482\pi\) |
−0.124569 | + | 0.992211i | \(0.539755\pi\) | |||||||
\(840\) | 337.141 | + | 357.529i | 0.401358 | + | 0.425630i | ||||
\(841\) | 105.368 | + | 732.851i | 0.125289 | + | 0.871405i | ||||
\(842\) | 337.135 | − | 524.592i | 0.400398 | − | 0.623031i | ||||
\(843\) | −376.567 | − | 535.065i | −0.446699 | − | 0.634715i | ||||
\(844\) | 34.7290 | − | 241.545i | 0.0411481 | − | 0.286191i | ||||
\(845\) | 205.338 | + | 177.926i | 0.243003 | + | 0.210564i | ||||
\(846\) | 188.645 | − | 526.117i | 0.222985 | − | 0.621887i | ||||
\(847\) | 848.604 | + | 979.341i | 1.00189 | + | 1.15625i | ||||
\(848\) | −106.168 | + | 361.575i | −0.125198 | + | 0.426386i | ||||
\(849\) | −116.345 | + | 1150.98i | −0.137038 | + | 1.35569i | ||||
\(850\) | −97.9128 | −0.115192 | ||||||||
\(851\) | −939.963 | + | 940.268i | −1.10454 | + | 1.10490i | ||||
\(852\) | 41.5995 | + | 122.384i | 0.0488257 | + | 0.143643i | ||||
\(853\) | −292.850 | + | 641.253i | −0.343318 | + | 0.751762i | −0.999997 | − | 0.00240818i | \(-0.999233\pi\) |
0.656679 | + | 0.754170i | \(0.271961\pi\) | |||||||
\(854\) | 297.534 | − | 1013.31i | 0.348400 | − | 1.18654i | ||||
\(855\) | −256.049 | + | 1253.59i | −0.299473 | + | 1.46619i | ||||
\(856\) | −155.365 | + | 99.8468i | −0.181501 | + | 0.116643i | ||||
\(857\) | 378.614 | + | 328.071i | 0.441790 | + | 0.382813i | 0.847158 | − | 0.531340i | \(-0.178311\pi\) |
−0.405369 | + | 0.914153i | \(0.632857\pi\) | |||||||
\(858\) | −4.55127 | − | 24.3392i | −0.00530451 | − | 0.0283674i | ||||
\(859\) | −1508.79 | + | 443.021i | −1.75645 | + | 0.515740i | −0.991698 | − | 0.128586i | \(-0.958956\pi\) |
−0.764751 | + | 0.644326i | \(0.777138\pi\) | |||||||
\(860\) | 78.4121 | − | 122.012i | 0.0911769 | − | 0.141874i | ||||
\(861\) | −1756.87 | + | 893.442i | −2.04050 | + | 1.03768i | ||||
\(862\) | −24.2557 | − | 53.1126i | −0.0281389 | − | 0.0616156i | ||||
\(863\) | 1299.45 | − | 593.438i | 1.50573 | − | 0.687646i | 0.519725 | − | 0.854334i | \(-0.326034\pi\) |
0.986010 | + | 0.166688i | \(0.0533072\pi\) | |||||||
\(864\) | 65.7491 | − | 137.859i | 0.0760984 | − | 0.159559i | ||||
\(865\) | 1230.08 | + | 790.524i | 1.42206 | + | 0.913900i | ||||
\(866\) | 21.3728 | + | 72.7889i | 0.0246799 | + | 0.0840519i | ||||
\(867\) | 7.23504 | + | 38.6914i | 0.00834491 | + | 0.0446268i | ||||
\(868\) | 51.7055 | − | 59.6713i | 0.0595685 | − | 0.0687457i | ||||
\(869\) | −9.23076 | − | 14.3633i | −0.0106223 | − | 0.0165286i | ||||
\(870\) | 459.963 | − | 786.581i | 0.528693 | − | 0.904117i | ||||
\(871\) | 209.615 | + | 61.5486i | 0.240660 | + | 0.0706643i | ||||
\(872\) | 343.731 | + | 156.977i | 0.394187 | + | 0.180019i | ||||
\(873\) | 187.097 | − | 143.808i | 0.214315 | − | 0.164728i | ||||
\(874\) | 854.008 | − | 61.2191i | 0.977125 | − | 0.0700447i | ||||
\(875\) | 1206.45i | 1.37880i | ||||||||
\(876\) | 6.69357 | − | 66.2186i | 0.00764107 | − | 0.0755920i | ||||
\(877\) | −1111.09 | − | 326.245i | −1.26692 | − | 0.372002i | −0.421855 | − | 0.906663i | \(-0.638621\pi\) |
−0.845066 | + | 0.534662i | \(0.820439\pi\) | |||||||
\(878\) | −289.369 | + | 250.740i | −0.329578 | + | 0.285581i | ||||
\(879\) | −407.389 | − | 324.044i | −0.463469 | − | 0.368650i | ||||
\(880\) | −5.57534 | + | 6.43429i | −0.00633561 | + | 0.00731169i | ||||
\(881\) | −153.210 | − | 22.0283i | −0.173905 | − | 0.0250037i | 0.0548122 | − | 0.998497i | \(-0.482544\pi\) |
−0.228717 | + | 0.973493i | \(0.573453\pi\) | |||||||
\(882\) | −678.725 | − | 494.745i | −0.769530 | − | 0.560935i | ||||
\(883\) | 172.802 | + | 111.053i | 0.195698 | + | 0.125768i | 0.634820 | − | 0.772660i | \(-0.281074\pi\) |
−0.439122 | + | 0.898427i | \(0.644710\pi\) | |||||||
\(884\) | 486.938 | − | 70.0111i | 0.550835 | − | 0.0791980i | ||||
\(885\) | −552.970 | − | 586.410i | −0.624825 | − | 0.662610i | ||||
\(886\) | 390.566 | + | 855.221i | 0.440820 | + | 0.965261i | ||||
\(887\) | −1302.82 | + | 187.317i | −1.46879 | + | 0.211180i | −0.829811 | − | 0.558044i | \(-0.811552\pi\) |
−0.638979 | + | 0.769224i | \(0.720643\pi\) | |||||||
\(888\) | 118.278 | − | 476.021i | 0.133196 | − | 0.536059i | ||||
\(889\) | −84.6019 | + | 24.8414i | −0.0951652 | + | 0.0279430i | ||||
\(890\) | −320.593 | − | 46.0943i | −0.360217 | − | 0.0517914i | ||||
\(891\) | −26.4070 | + | 17.9358i | −0.0296374 | + | 0.0201300i | ||||
\(892\) | 729.957 | − | 469.115i | 0.818337 | − | 0.525913i | ||||
\(893\) | −873.570 | + | 756.953i | −0.978242 | + | 0.847652i | ||||
\(894\) | 526.430 | − | 22.1541i | 0.588848 | − | 0.0247809i | ||||
\(895\) | −324.206 | + | 709.911i | −0.362241 | + | 0.793197i | ||||
\(896\) | 121.320i | 0.135402i | ||||||||
\(897\) | −1021.39 | − | 29.8113i | −1.13867 | − | 0.0332344i | ||||
\(898\) | −655.449 | −0.729898 | ||||||||
\(899\) | −133.172 | − | 60.8178i | −0.148134 | − | 0.0676505i | ||||
\(900\) | −69.9606 | + | 27.1124i | −0.0777340 | + | 0.0301249i | ||||
\(901\) | 1024.72 | + | 1182.59i | 1.13732 | + | 1.31253i | ||||
\(902\) | −18.4615 | − | 28.7266i | −0.0204673 | − | 0.0318477i | ||||
\(903\) | −162.761 | + | 400.117i | −0.180245 | + | 0.443098i | ||||
\(904\) | 36.8926 | − | 256.594i | 0.0408104 | − | 0.283843i | ||||
\(905\) | 534.452 | + | 1820.18i | 0.590555 | + | 2.01125i | ||||
\(906\) | −74.9548 | + | 301.662i | −0.0827316 | + | 0.332961i | ||||
\(907\) | 61.1374 | + | 425.220i | 0.0674062 | + | 0.468820i | 0.995367 | + | 0.0961438i | \(0.0306509\pi\) |
−0.927961 | + | 0.372677i | \(0.878440\pi\) | |||||||
\(908\) | −161.922 | + | 73.9475i | −0.178329 | + | 0.0814399i | ||||
\(909\) | 616.714 | − | 1164.39i | 0.678453 | − | 1.28096i | ||||
\(910\) | 172.614 | + | 1200.56i | 0.189686 | + | 1.31929i | ||||
\(911\) | −135.200 | + | 210.375i | −0.148408 | + | 0.230928i | −0.907496 | − | 0.420060i | \(-0.862009\pi\) |
0.759088 | + | 0.650988i | \(0.225645\pi\) | |||||||
\(912\) | −258.314 | + | 181.796i | −0.283239 | + | 0.199338i | ||||
\(913\) | −3.03603 | + | 21.1160i | −0.00332533 | + | 0.0231282i | ||||
\(914\) | 261.022 | + | 226.177i | 0.285583 | + | 0.247459i | ||||
\(915\) | 883.042 | + | 702.386i | 0.965074 | + | 0.767635i | ||||
\(916\) | 281.017 | + | 324.311i | 0.306787 | + | 0.354051i | ||||
\(917\) | −173.750 | + | 591.738i | −0.189477 | + | 0.645298i | ||||
\(918\) | −333.968 | − | 539.164i | −0.363800 | − | 0.587324i | ||||
\(919\) | 493.339 | 0.536822 | 0.268411 | − | 0.963305i | \(-0.413501\pi\) | ||||
0.268411 | + | 0.963305i | \(0.413501\pi\) | |||||||
\(920\) | 210.596 | + | 281.229i | 0.228909 | + | 0.305683i | ||||
\(921\) | −649.080 | + | 220.629i | −0.704756 | + | 0.239554i | ||||
\(922\) | −8.43153 | + | 18.4625i | −0.00914483 | + | 0.0200244i | ||||
\(923\) | −89.8833 | + | 306.114i | −0.0973817 | + | 0.331652i | ||||
\(924\) | 12.7996 | − | 21.8886i | 0.0138524 | − | 0.0236890i | ||||
\(925\) | −202.703 | + | 130.269i | −0.219138 | + | 0.140832i | ||||
\(926\) | 265.617 | + | 230.159i | 0.286844 | + | 0.248551i | ||||
\(927\) | 116.219 | + | 206.549i | 0.125371 | + | 0.222815i | ||||
\(928\) | 215.842 | − | 63.3769i | 0.232588 | − | 0.0682941i | ||||
\(929\) | −163.036 | + | 253.689i | −0.175496 | + | 0.273077i | −0.917847 | − | 0.396934i | \(-0.870074\pi\) |
0.742351 | + | 0.670011i | \(0.233711\pi\) | |||||||
\(930\) | 38.2386 | + | 75.1926i | 0.0411168 | + | 0.0808522i | ||||
\(931\) | 721.584 | + | 1580.05i | 0.775063 | + | 1.69715i | ||||
\(932\) | 265.305 | − | 121.161i | 0.284662 | − | 0.130001i | ||||
\(933\) | −751.625 | + | 382.233i | −0.805600 | + | 0.409682i | ||||
\(934\) | −252.344 | − | 162.172i | −0.270176 | − | 0.173631i | ||||
\(935\) | 9.95999 | + | 33.9206i | 0.0106524 | + | 0.0362787i | ||||
\(936\) | 328.540 | − | 184.859i | 0.351004 | − | 0.197499i | ||||
\(937\) | 795.004 | − | 917.484i | 0.848457 | − | 0.979172i | −0.151500 | − | 0.988457i | \(-0.548410\pi\) |
0.999957 | + | 0.00928550i | \(0.00295571\pi\) | |||||||
\(938\) | 120.950 | + | 188.202i | 0.128945 | + | 0.200642i | ||||
\(939\) | 1147.10 | + | 670.779i | 1.22162 | + | 0.714355i | ||||
\(940\) | −455.109 | − | 133.632i | −0.484159 | − | 0.142162i | ||||
\(941\) | 710.683 | + | 324.558i | 0.755242 | + | 0.344907i | 0.755549 | − | 0.655092i | \(-0.227370\pi\) |
−0.000306676 | 1.00000i | \(0.500098\pi\) | ||||||||
\(942\) | −417.525 | − | 1228.34i | −0.443233 | − | 1.30397i | ||||
\(943\) | −1320.24 | + | 492.669i | −1.40005 | + | 0.522449i | ||||
\(944\) | − | 198.986i | − | 0.210791i | ||||||
\(945\) | 1329.32 | − | 823.407i | 1.40669 | − | 0.871330i | ||||
\(946\) | −7.18045 | − | 2.10837i | −0.00759033 | − | 0.00222872i | ||||
\(947\) | 660.997 | − | 572.757i | 0.697990 | − | 0.604812i | −0.231861 | − | 0.972749i | \(-0.574481\pi\) |
0.929851 | + | 0.367937i | \(0.119936\pi\) | |||||||
\(948\) | 161.814 | − | 203.433i | 0.170690 | − | 0.214592i | ||||
\(949\) | 107.575 | − | 124.148i | 0.113356 | − | 0.130820i | ||||
\(950\) | 153.592 | + | 22.0832i | 0.161676 | + | 0.0232455i | ||||
\(951\) | −556.805 | − | 791.165i | −0.585494 | − | 0.831930i | ||||
\(952\) | 423.799 | + | 272.359i | 0.445167 | + | 0.286091i | ||||
\(953\) | 1370.24 | − | 197.010i | 1.43781 | − | 0.206727i | 0.621083 | − | 0.783745i | \(-0.286693\pi\) |
0.816731 | + | 0.577018i | \(0.195784\pi\) | |||||||
\(954\) | 1059.65 | + | 561.236i | 1.11074 | + | 0.588297i | ||||
\(955\) | −205.081 | − | 449.064i | −0.214744 | − | 0.470224i | ||||
\(956\) | 305.984 | − | 43.9938i | 0.320067 | − | 0.0460187i | ||||
\(957\) | −45.6287 | − | 11.3375i | −0.0476789 | − | 0.0118469i | ||||
\(958\) | −177.985 | + | 52.2611i | −0.185788 | + | 0.0545523i | ||||
\(959\) | −174.836 | − | 25.1377i | −0.182311 | − | 0.0262124i | ||||
\(960\) | −120.065 | − | 48.8404i | −0.125068 | − | 0.0508754i | ||||
\(961\) | −797.043 | + | 512.228i | −0.829389 | + | 0.533016i | ||||
\(962\) | 914.931 | − | 792.792i | 0.951072 | − | 0.824108i | ||||
\(963\) | 212.350 | + | 547.948i | 0.220509 | + | 0.569001i | ||||
\(964\) | −157.111 | + | 344.024i | −0.162978 | + | 0.356871i | ||||
\(965\) | − | 846.854i | − | 0.877569i | ||||||
\(966\) | −770.479 | − | 708.018i | −0.797597 | − | 0.732938i | ||||
\(967\) | −1087.48 | −1.12459 | −0.562293 | − | 0.826938i | \(-0.690081\pi\) | ||||
−0.562293 | + | 0.826938i | \(0.690081\pi\) | |||||||
\(968\) | −310.913 | − | 141.989i | −0.321191 | − | 0.146683i | ||||
\(969\) | 55.1496 | + | 1310.47i | 0.0569139 | + | 1.35240i | ||||
\(970\) | −131.144 | − | 151.349i | −0.135200 | − | 0.156030i | ||||
\(971\) | −734.837 | − | 1143.43i | −0.756784 | − | 1.17758i | −0.979253 | − | 0.202639i | \(-0.935048\pi\) |
0.222470 | − | 0.974940i | \(-0.428588\pi\) | |||||||
\(972\) | −387.923 | − | 292.766i | −0.399097 | − | 0.301200i | ||||
\(973\) | 198.896 | − | 1383.35i | 0.204415 | − | 1.42174i | ||||
\(974\) | 379.774 | + | 1293.39i | 0.389911 | + | 1.32792i | ||||
\(975\) | −179.723 | − | 44.6563i | −0.184332 | − | 0.0458013i | ||||
\(976\) | 39.6429 | + | 275.723i | 0.0406178 | + | 0.282503i | ||||
\(977\) | −844.702 | + | 385.762i | −0.864587 | + | 0.394844i | −0.797799 | − | 0.602923i | \(-0.794002\pi\) |
−0.0667883 | + | 0.997767i | \(0.521275\pi\) | |||||||
\(978\) | 628.529 | − | 592.687i | 0.642667 | − | 0.606019i | ||||
\(979\) | 2.37839 | + | 16.5421i | 0.00242941 | + | 0.0168969i | ||||
\(980\) | −385.361 | + | 599.633i | −0.393225 | + | 0.611870i | ||||
\(981\) | 708.274 | − | 971.660i | 0.721992 | − | 0.990479i | ||||
\(982\) | 10.8580 | − | 75.5192i | 0.0110570 | − | 0.0769034i | ||||
\(983\) | −585.530 | − | 507.365i | −0.595656 | − | 0.516139i | 0.304038 | − | 0.952660i | \(-0.401665\pi\) |
−0.899694 | + | 0.436521i | \(0.856210\pi\) | |||||||
\(984\) | 323.627 | − | 406.866i | 0.328890 | − | 0.413481i | ||||
\(985\) | 147.010 | + | 169.659i | 0.149249 | + | 0.172243i | ||||
\(986\) | 263.167 | − | 896.263i | 0.266903 | − | 0.908989i | ||||
\(987\) | 1405.50 | + | 142.072i | 1.42401 | + | 0.143943i | ||||
\(988\) | −779.631 | −0.789100 | ||||||||
\(989\) | −147.961 | + | 271.076i | −0.149607 | + | 0.274091i | ||||
\(990\) | 16.5093 | + | 21.4790i | 0.0166761 | + | 0.0216959i | ||||
\(991\) | −496.338 | + | 1086.83i | −0.500846 | + | 1.09670i | 0.475348 | + | 0.879798i | \(0.342322\pi\) |
−0.976194 | + | 0.216901i | \(0.930405\pi\) | |||||||
\(992\) | −5.86734 | + | 19.9823i | −0.00591466 | + | 0.0201435i | ||||
\(993\) | −910.321 | − | 532.321i | −0.916738 | − | 0.536073i | ||||
\(994\) | −274.843 | + | 176.631i | −0.276502 | + | 0.177697i | ||||
\(995\) | −184.187 | − | 159.599i | −0.185112 | − | 0.160401i | ||||
\(996\) | −319.254 | + | 59.6985i | −0.320537 | + | 0.0599382i | ||||
\(997\) | −1516.86 | + | 445.390i | −1.52142 | + | 0.446730i | −0.932412 | − | 0.361396i | \(-0.882300\pi\) |
−0.589010 | + | 0.808126i | \(0.700482\pi\) | |||||||
\(998\) | −643.443 | + | 1001.22i | −0.644733 | + | 1.00322i | ||||
\(999\) | −1408.73 | − | 671.866i | −1.41014 | − | 0.672539i |
(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 | 138.3.g.a.29.9 | yes | 160 | |
3.2 | odd | 2 | inner | 138.3.g.a.29.2 | ✓ | 160 | |
23.4 | even | 11 | inner | 138.3.g.a.119.2 | yes | 160 | |
69.50 | odd | 22 | inner | 138.3.g.a.119.9 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.3.g.a.29.2 | ✓ | 160 | 3.2 | odd | 2 | inner | |
138.3.g.a.29.9 | yes | 160 | 1.1 | even | 1 | trivial | |
138.3.g.a.119.2 | yes | 160 | 23.4 | even | 11 | inner | |
138.3.g.a.119.9 | yes | 160 | 69.50 | odd | 22 | inner |