Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(13,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([4, 9, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.cb (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 13.2 | ||
Character | \(\chi\) | \(=\) | 315.13 |
Dual form | 315.2.cb.a.97.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.62442 | − | 0.703211i | −1.85574 | − | 0.497245i | −0.855940 | − | 0.517074i | \(-0.827021\pi\) |
−0.999803 | + | 0.0198294i | \(0.993688\pi\) | |||||||
\(3\) | 1.23789 | − | 1.21146i | 0.714693 | − | 0.699438i | ||||
\(4\) | 4.66101 | + | 2.69104i | 2.33051 | + | 1.34552i | ||||
\(5\) | 1.95271 | − | 1.08946i | 0.873278 | − | 0.487223i | ||||
\(6\) | −4.10064 | + | 2.30889i | −1.67408 | + | 0.942600i | ||||
\(7\) | −2.50777 | + | 0.843251i | −0.947849 | + | 0.318719i | ||||
\(8\) | −6.49767 | − | 6.49767i | −2.29727 | − | 2.29727i | ||||
\(9\) | 0.0647207 | − | 2.99930i | 0.0215736 | − | 0.999767i | ||||
\(10\) | −5.89084 | + | 1.48604i | −1.86285 | + | 0.469928i | ||||
\(11\) | −0.924101 | − | 1.60059i | −0.278627 | − | 0.482596i | 0.692417 | − | 0.721498i | \(-0.256546\pi\) |
−0.971044 | + | 0.238902i | \(0.923213\pi\) | |||||||
\(12\) | 9.02989 | − | 2.31544i | 2.60670 | − | 0.668411i | ||||
\(13\) | −0.249485 | − | 0.931092i | −0.0691948 | − | 0.258239i | 0.922660 | − | 0.385616i | \(-0.126011\pi\) |
−0.991854 | + | 0.127377i | \(0.959344\pi\) | |||||||
\(14\) | 7.17443 | − | 0.449551i | 1.91745 | − | 0.120148i | ||||
\(15\) | 1.09739 | − | 3.71426i | 0.283344 | − | 0.959018i | ||||
\(16\) | 7.10129 | + | 12.2998i | 1.77532 | + | 3.07495i | ||||
\(17\) | −3.17307 | − | 3.17307i | −0.769583 | − | 0.769583i | 0.208450 | − | 0.978033i | \(-0.433158\pi\) |
−0.978033 | + | 0.208450i | \(0.933158\pi\) | |||||||
\(18\) | −2.27900 | + | 7.82591i | −0.537164 | + | 1.84458i | ||||
\(19\) | 4.59786 | 1.05482 | 0.527411 | − | 0.849610i | \(-0.323163\pi\) | ||||
0.527411 | + | 0.849610i | \(0.323163\pi\) | |||||||
\(20\) | 12.0334 | + | 0.176806i | 2.69075 | + | 0.0395351i | ||||
\(21\) | −2.08277 | + | 4.08192i | −0.454497 | + | 0.890748i | ||||
\(22\) | 1.29968 | + | 4.85046i | 0.277092 | + | 1.03412i | ||||
\(23\) | 4.58351 | − | 1.22815i | 0.955728 | − | 0.256086i | 0.252937 | − | 0.967483i | \(-0.418604\pi\) |
0.702791 | + | 0.711396i | \(0.251937\pi\) | |||||||
\(24\) | −15.9150 | − | 0.171692i | −3.24864 | − | 0.0350465i | ||||
\(25\) | 2.62614 | − | 4.25481i | 0.525228 | − | 0.850962i | ||||
\(26\) | 2.61902i | 0.513631i | ||||||||
\(27\) | −3.55342 | − | 3.79120i | −0.683857 | − | 0.729617i | ||||
\(28\) | −13.9580 | − | 2.81811i | −2.63781 | − | 0.532572i | ||||
\(29\) | −0.575505 | + | 0.332268i | −0.106869 | + | 0.0617006i | −0.552482 | − | 0.833525i | \(-0.686319\pi\) |
0.445613 | + | 0.895226i | \(0.352986\pi\) | |||||||
\(30\) | −5.49191 | + | 8.97608i | −1.00268 | + | 1.63880i | ||||
\(31\) | −5.02022 | − | 2.89843i | −0.901658 | − | 0.520573i | −0.0239205 | − | 0.999714i | \(-0.507615\pi\) |
−0.877738 | + | 0.479141i | \(0.840948\pi\) | |||||||
\(32\) | −5.23079 | − | 19.5216i | −0.924681 | − | 3.45096i | ||||
\(33\) | −3.08299 | − | 0.861834i | −0.536679 | − | 0.150026i | ||||
\(34\) | 6.09613 | + | 10.5588i | 1.04548 | + | 1.81082i | ||||
\(35\) | −3.97826 | + | 4.37875i | −0.672448 | + | 0.740144i | ||||
\(36\) | 8.37290 | − | 13.8056i | 1.39548 | − | 2.30094i | ||||
\(37\) | 4.47787 | − | 4.47787i | 0.736157 | − | 0.736157i | −0.235675 | − | 0.971832i | \(-0.575730\pi\) |
0.971832 | + | 0.235675i | \(0.0757302\pi\) | |||||||
\(38\) | −12.0667 | − | 3.23327i | −1.95748 | − | 0.524505i | ||||
\(39\) | −1.43682 | − | 0.850344i | −0.230075 | − | 0.136164i | ||||
\(40\) | −19.7670 | − | 5.60908i | −3.12544 | − | 0.886873i | ||||
\(41\) | −3.16075 | − | 1.82486i | −0.493627 | − | 0.284996i | 0.232451 | − | 0.972608i | \(-0.425325\pi\) |
−0.726078 | + | 0.687612i | \(0.758659\pi\) | |||||||
\(42\) | 8.33651 | − | 9.24804i | 1.28635 | − | 1.42700i | ||||
\(43\) | −0.763478 | + | 2.84934i | −0.116429 | + | 0.434520i | −0.999390 | − | 0.0349270i | \(-0.988880\pi\) |
0.882960 | + | 0.469447i | \(0.155547\pi\) | |||||||
\(44\) | − | 9.94716i | − | 1.49959i | ||||||
\(45\) | −3.14125 | − | 5.92727i | −0.468270 | − | 0.883586i | ||||
\(46\) | −12.8927 | −1.90092 | ||||||||
\(47\) | −1.62868 | + | 6.07833i | −0.237568 | + | 0.886615i | 0.739407 | + | 0.673259i | \(0.235106\pi\) |
−0.976974 | + | 0.213356i | \(0.931561\pi\) | |||||||
\(48\) | 23.6913 | + | 6.62280i | 3.41955 | + | 0.955918i | ||||
\(49\) | 5.57785 | − | 4.22937i | 0.796836 | − | 0.604195i | ||||
\(50\) | −9.88411 | + | 9.31967i | −1.39782 | + | 1.31800i | ||||
\(51\) | −7.77196 | − | 0.0838442i | −1.08829 | − | 0.0117405i | ||||
\(52\) | 1.34275 | − | 5.01121i | 0.186206 | − | 0.694930i | ||||
\(53\) | 6.88237 | + | 6.88237i | 0.945367 | + | 0.945367i | 0.998583 | − | 0.0532162i | \(-0.0169472\pi\) |
−0.0532162 | + | 0.998583i | \(0.516947\pi\) | |||||||
\(54\) | 6.65966 | + | 12.4485i | 0.906264 | + | 1.69403i | ||||
\(55\) | −3.54828 | − | 2.11871i | −0.478451 | − | 0.285687i | ||||
\(56\) | 21.7738 | + | 10.8155i | 2.90965 | + | 1.44528i | ||||
\(57\) | 5.69163 | − | 5.57013i | 0.753874 | − | 0.737782i | ||||
\(58\) | 1.74402 | − | 0.467309i | 0.229001 | − | 0.0613606i | ||||
\(59\) | −5.45237 | + | 9.44378i | −0.709838 | + | 1.22947i | 0.255079 | + | 0.966920i | \(0.417898\pi\) |
−0.964917 | + | 0.262555i | \(0.915435\pi\) | |||||||
\(60\) | 15.1101 | − | 14.3591i | 1.95071 | − | 1.85375i | ||||
\(61\) | 1.06448 | − | 0.614578i | 0.136293 | − | 0.0786887i | −0.430303 | − | 0.902684i | \(-0.641593\pi\) |
0.566596 | + | 0.823996i | \(0.308260\pi\) | |||||||
\(62\) | 11.1370 | + | 11.1370i | 1.41439 | + | 1.41439i | ||||
\(63\) | 2.36686 | + | 7.57614i | 0.298196 | + | 0.954505i | ||||
\(64\) | 26.5059i | 3.31324i | ||||||||
\(65\) | −1.50156 | − | 1.54635i | −0.186246 | − | 0.191801i | ||||
\(66\) | 7.48499 | + | 4.42980i | 0.921339 | + | 0.545271i | ||||
\(67\) | 0.117576 | + | 0.438800i | 0.0143642 | + | 0.0536080i | 0.972736 | − | 0.231915i | \(-0.0744993\pi\) |
−0.958372 | + | 0.285523i | \(0.907833\pi\) | |||||||
\(68\) | −6.25088 | − | 23.3286i | −0.758030 | − | 2.82901i | ||||
\(69\) | 4.18600 | − | 7.07305i | 0.503936 | − | 0.851495i | ||||
\(70\) | 13.5198 | − | 8.69412i | 1.61592 | − | 1.03915i | ||||
\(71\) | 0.841193 | 0.0998313 | 0.0499156 | − | 0.998753i | \(-0.484105\pi\) | ||||
0.0499156 | + | 0.998753i | \(0.484105\pi\) | |||||||
\(72\) | −19.9090 | + | 19.0679i | −2.34630 | + | 2.24718i | ||||
\(73\) | 2.75264 | − | 2.75264i | 0.322172 | − | 0.322172i | −0.527428 | − | 0.849600i | \(-0.676843\pi\) |
0.849600 | + | 0.527428i | \(0.176843\pi\) | |||||||
\(74\) | −14.9007 | + | 8.60291i | −1.73217 | + | 1.00007i | ||||
\(75\) | −1.90368 | − | 8.44843i | −0.219818 | − | 0.975541i | ||||
\(76\) | 21.4307 | + | 12.3730i | 2.45827 | + | 1.41928i | ||||
\(77\) | 3.66714 | + | 3.23467i | 0.417909 | + | 0.368625i | ||||
\(78\) | 3.17284 | + | 3.24204i | 0.359253 | + | 0.367089i | ||||
\(79\) | 11.0510 | − | 6.38032i | 1.24334 | − | 0.717842i | 0.273567 | − | 0.961853i | \(-0.411797\pi\) |
0.969772 | + | 0.244011i | \(0.0784633\pi\) | |||||||
\(80\) | 27.2669 | + | 16.2813i | 3.04854 | + | 1.82031i | ||||
\(81\) | −8.99162 | − | 0.388234i | −0.999069 | − | 0.0431371i | ||||
\(82\) | 7.01188 | + | 7.01188i | 0.774332 | + | 0.774332i | ||||
\(83\) | 0.153202 | + | 0.0410503i | 0.0168161 | + | 0.00450585i | 0.267217 | − | 0.963636i | \(-0.413896\pi\) |
−0.250401 | + | 0.968142i | \(0.580563\pi\) | |||||||
\(84\) | −20.6924 | + | 13.4211i | −2.25773 | + | 1.46436i | ||||
\(85\) | −9.65303 | − | 2.73914i | −1.04702 | − | 0.297101i | ||||
\(86\) | 4.00737 | − | 6.94097i | 0.432126 | − | 0.748465i | ||||
\(87\) | −0.309879 | + | 1.10851i | −0.0332225 | + | 0.118845i | ||||
\(88\) | −4.39560 | + | 16.4046i | −0.468573 | + | 1.74874i | ||||
\(89\) | −10.5728 | −1.12071 | −0.560357 | − | 0.828251i | \(-0.689336\pi\) | ||||
−0.560357 | + | 0.828251i | \(0.689336\pi\) | |||||||
\(90\) | 4.07583 | + | 17.7646i | 0.429630 | + | 1.87255i | ||||
\(91\) | 1.41080 | + | 2.12459i | 0.147892 | + | 0.222718i | ||||
\(92\) | 24.6688 | + | 6.60998i | 2.57190 | + | 0.689138i | ||||
\(93\) | −9.72579 | + | 2.49389i | −1.00852 | + | 0.258604i | ||||
\(94\) | 8.54869 | − | 14.8068i | 0.881730 | − | 1.52720i | ||||
\(95\) | 8.97828 | − | 5.00920i | 0.921152 | − | 0.513933i | ||||
\(96\) | −30.1247 | − | 17.8286i | −3.07459 | − | 1.81962i | ||||
\(97\) | −1.15352 | + | 4.30501i | −0.117122 | + | 0.437107i | −0.999437 | − | 0.0335533i | \(-0.989318\pi\) |
0.882314 | + | 0.470660i | \(0.155984\pi\) | |||||||
\(98\) | −17.6128 | + | 7.17722i | −1.77916 | + | 0.725009i | ||||
\(99\) | −4.86046 | + | 2.66807i | −0.488495 | + | 0.268151i | ||||
\(100\) | 23.6903 | − | 12.7647i | 2.36903 | − | 1.27647i | ||||
\(101\) | 6.09879 | − | 3.52114i | 0.606852 | − | 0.350366i | −0.164880 | − | 0.986314i | \(-0.552724\pi\) |
0.771732 | + | 0.635947i | \(0.219390\pi\) | |||||||
\(102\) | 20.3379 | + | 5.68537i | 2.01375 | + | 0.562935i | ||||
\(103\) | 4.88957 | + | 18.2481i | 0.481784 | + | 1.79804i | 0.594126 | + | 0.804372i | \(0.297498\pi\) |
−0.112343 | + | 0.993670i | \(0.535835\pi\) | |||||||
\(104\) | −4.42886 | + | 7.67100i | −0.434285 | + | 0.752204i | ||||
\(105\) | 0.380063 | + | 10.2399i | 0.0370904 | + | 0.999312i | ||||
\(106\) | −13.2225 | − | 22.9020i | −1.28428 | − | 2.22444i | ||||
\(107\) | −1.52495 | + | 1.52495i | −0.147423 | + | 0.147423i | −0.776966 | − | 0.629543i | \(-0.783242\pi\) |
0.629543 | + | 0.776966i | \(0.283242\pi\) | |||||||
\(108\) | −6.36029 | − | 27.2332i | −0.612020 | − | 2.62052i | ||||
\(109\) | 5.57444i | 0.533935i | 0.963706 | + | 0.266967i | \(0.0860216\pi\) | ||||
−0.963706 | + | 0.266967i | \(0.913978\pi\) | |||||||
\(110\) | 7.82228 | + | 8.05557i | 0.745825 | + | 0.768069i | ||||
\(111\) | 0.118322 | − | 10.9678i | 0.0112306 | − | 1.04102i | ||||
\(112\) | −28.1803 | − | 24.8569i | −2.66278 | − | 2.34876i | ||||
\(113\) | 9.42835 | − | 2.52632i | 0.886945 | − | 0.237656i | 0.213544 | − | 0.976934i | \(-0.431499\pi\) |
0.673401 | + | 0.739277i | \(0.264833\pi\) | |||||||
\(114\) | −18.8542 | + | 10.6159i | −1.76586 | + | 0.994275i | ||||
\(115\) | 7.61223 | − | 7.39178i | 0.709844 | − | 0.689287i | ||||
\(116\) | −3.57658 | −0.332077 | ||||||||
\(117\) | −2.80877 | + | 0.688021i | −0.259671 | + | 0.0636076i | ||||
\(118\) | 20.9503 | − | 20.9503i | 1.92863 | − | 1.92863i | ||||
\(119\) | 10.6330 | + | 5.28165i | 0.974730 | + | 0.484168i | ||||
\(120\) | −31.2645 | + | 17.0036i | −2.85404 | + | 1.55221i | ||||
\(121\) | 3.79207 | − | 6.56806i | 0.344734 | − | 0.597097i | ||||
\(122\) | −3.22582 | + | 0.864356i | −0.292052 | + | 0.0782551i | ||||
\(123\) | −6.12340 | + | 1.57016i | −0.552129 | + | 0.141577i | ||||
\(124\) | −15.5995 | − | 27.0192i | −1.40088 | − | 2.42640i | ||||
\(125\) | 0.492622 | − | 11.1695i | 0.0440615 | − | 0.999029i | ||||
\(126\) | −0.884006 | − | 21.5474i | −0.0787535 | − | 1.91959i | ||||
\(127\) | −0.704793 | + | 0.704793i | −0.0625403 | + | 0.0625403i | −0.737685 | − | 0.675145i | \(-0.764081\pi\) |
0.675145 | + | 0.737685i | \(0.264081\pi\) | |||||||
\(128\) | 8.17767 | − | 30.5195i | 0.722810 | − | 2.69756i | ||||
\(129\) | 2.50677 | + | 4.45208i | 0.220709 | + | 0.391984i | ||||
\(130\) | 2.85332 | + | 5.11418i | 0.250253 | + | 0.448543i | ||||
\(131\) | 18.4050 | + | 10.6261i | 1.60805 | + | 0.928410i | 0.989805 | + | 0.142428i | \(0.0454910\pi\) |
0.618249 | + | 0.785982i | \(0.287842\pi\) | |||||||
\(132\) | −12.0506 | − | 12.3134i | −1.04887 | − | 1.07175i | ||||
\(133\) | −11.5304 | + | 3.87715i | −0.999812 | + | 0.336192i | ||||
\(134\) | − | 1.23428i | − | 0.106625i | ||||||
\(135\) | −11.0692 | − | 3.53178i | −0.952682 | − | 0.303967i | ||||
\(136\) | 41.2352i | 3.53588i | ||||||||
\(137\) | −2.60652 | − | 0.698414i | −0.222690 | − | 0.0596695i | 0.145749 | − | 0.989322i | \(-0.453441\pi\) |
−0.368439 | + | 0.929652i | \(0.620107\pi\) | |||||||
\(138\) | −15.9597 | + | 15.6190i | −1.35858 | + | 1.32958i | ||||
\(139\) | −7.50438 | + | 12.9980i | −0.636514 | + | 1.10247i | 0.349679 | + | 0.936870i | \(0.386291\pi\) |
−0.986192 | + | 0.165604i | \(0.947043\pi\) | |||||||
\(140\) | −30.3261 | + | 9.70378i | −2.56302 | + | 0.820119i | ||||
\(141\) | 5.34754 | + | 9.49736i | 0.450344 | + | 0.799822i | ||||
\(142\) | −2.20764 | − | 0.591536i | −0.185261 | − | 0.0496406i | ||||
\(143\) | −1.25975 | + | 1.25975i | −0.105345 | + | 0.105345i | ||||
\(144\) | 37.3504 | − | 20.5029i | 3.11253 | − | 1.70857i | ||||
\(145\) | −0.761799 | + | 1.27581i | −0.0632640 | + | 0.105951i | ||||
\(146\) | −9.15977 | + | 5.28840i | −0.758068 | + | 0.437671i | ||||
\(147\) | 1.78103 | − | 11.9928i | 0.146897 | − | 0.989152i | ||||
\(148\) | 32.9215 | − | 8.82129i | 2.70613 | − | 0.725105i | ||||
\(149\) | 3.16716 | + | 1.82856i | 0.259464 | + | 0.149802i | 0.624090 | − | 0.781352i | \(-0.285470\pi\) |
−0.364626 | + | 0.931154i | \(0.618803\pi\) | |||||||
\(150\) | −0.944975 | + | 23.5109i | −0.0771569 | + | 1.91966i | ||||
\(151\) | 4.25259 | + | 7.36570i | 0.346071 | + | 0.599412i | 0.985548 | − | 0.169398i | \(-0.0541824\pi\) |
−0.639477 | + | 0.768810i | \(0.720849\pi\) | |||||||
\(152\) | −29.8754 | − | 29.8754i | −2.42321 | − | 2.42321i | ||||
\(153\) | −9.72237 | + | 9.31164i | −0.786007 | + | 0.752802i | ||||
\(154\) | −7.34945 | − | 11.0679i | −0.592235 | − | 0.891876i | ||||
\(155\) | −12.9608 | − | 0.190432i | −1.04103 | − | 0.0152959i | ||||
\(156\) | −4.40872 | − | 7.82999i | −0.352980 | − | 0.626901i | ||||
\(157\) | −9.38278 | + | 2.51411i | −0.748827 | + | 0.200648i | −0.612998 | − | 0.790085i | \(-0.710037\pi\) |
−0.135829 | + | 0.990732i | \(0.543370\pi\) | |||||||
\(158\) | −33.4893 | + | 8.97342i | −2.66426 | + | 0.713887i | ||||
\(159\) | 16.8573 | + | 0.181858i | 1.33687 | + | 0.0144222i | ||||
\(160\) | −31.4822 | − | 32.4212i | −2.48889 | − | 2.56312i | ||||
\(161\) | −10.4588 | + | 6.94497i | −0.824266 | + | 0.547340i | ||||
\(162\) | 23.3248 | + | 7.34189i | 1.83257 | + | 0.576834i | ||||
\(163\) | 2.06258 | + | 2.06258i | 0.161553 | + | 0.161553i | 0.783255 | − | 0.621701i | \(-0.213558\pi\) |
−0.621701 | + | 0.783255i | \(0.713558\pi\) | |||||||
\(164\) | −9.82155 | − | 17.0114i | −0.766934 | − | 1.32837i | ||||
\(165\) | −6.95911 | + | 1.67589i | −0.541766 | + | 0.130468i | ||||
\(166\) | −0.373198 | − | 0.215466i | −0.0289658 | − | 0.0167234i | ||||
\(167\) | 15.2322 | − | 4.08145i | 1.17870 | − | 0.315832i | 0.384291 | − | 0.923212i | \(-0.374446\pi\) |
0.794412 | + | 0.607380i | \(0.207779\pi\) | |||||||
\(168\) | 40.0561 | − | 12.9898i | 3.09040 | − | 1.00219i | ||||
\(169\) | 10.4536 | − | 6.03541i | 0.804126 | − | 0.464262i | ||||
\(170\) | 23.4074 | + | 13.9768i | 1.79527 | + | 1.07197i | ||||
\(171\) | 0.297577 | − | 13.7904i | 0.0227563 | − | 1.05458i | ||||
\(172\) | −11.2263 | + | 11.2263i | −0.855995 | + | 0.855995i | ||||
\(173\) | 5.98267 | + | 1.60305i | 0.454854 | + | 0.121878i | 0.478970 | − | 0.877831i | \(-0.341010\pi\) |
−0.0241157 | + | 0.999709i | \(0.507677\pi\) | |||||||
\(174\) | 1.59277 | − | 2.69129i | 0.120748 | − | 0.204026i | ||||
\(175\) | −2.99789 | + | 12.8846i | −0.226619 | + | 0.973984i | ||||
\(176\) | 13.1246 | − | 22.7325i | 0.989306 | − | 1.71353i | ||||
\(177\) | 4.69137 | + | 18.2956i | 0.352625 | + | 1.37519i | ||||
\(178\) | 27.7474 | + | 7.43490i | 2.07976 | + | 0.557269i | ||||
\(179\) | − | 21.5287i | − | 1.60913i | −0.593863 | − | 0.804566i | \(-0.702398\pi\) | ||
0.593863 | − | 0.804566i | \(-0.297602\pi\) | |||||||
\(180\) | 1.30910 | − | 36.0803i | 0.0975749 | − | 2.68927i | ||||
\(181\) | − | 2.02784i | − | 0.150728i | −0.997156 | − | 0.0753641i | \(-0.975988\pi\) | ||
0.997156 | − | 0.0753641i | \(-0.0240119\pi\) | |||||||
\(182\) | −2.20849 | − | 6.56790i | −0.163704 | − | 0.486845i | ||||
\(183\) | 0.573167 | − | 2.05036i | 0.0423697 | − | 0.151567i | ||||
\(184\) | −37.7622 | − | 21.8020i | −2.78387 | − | 1.60727i | ||||
\(185\) | 3.86549 | − | 13.6224i | 0.284197 | − | 1.00154i | ||||
\(186\) | 27.2783 | + | 0.294279i | 2.00014 | + | 0.0215776i | ||||
\(187\) | −2.14655 | + | 8.01103i | −0.156971 | + | 0.585825i | ||||
\(188\) | −23.9483 | + | 23.9483i | −1.74661 | + | 1.74661i | ||||
\(189\) | 12.1081 | + | 6.51104i | 0.880736 | + | 0.473608i | ||||
\(190\) | −27.0853 | + | 6.83262i | −1.96497 | + | 0.495690i | ||||
\(191\) | 9.62038 | + | 16.6630i | 0.696106 | + | 1.20569i | 0.969806 | + | 0.243877i | \(0.0784192\pi\) |
−0.273700 | + | 0.961815i | \(0.588248\pi\) | |||||||
\(192\) | 32.1109 | + | 32.8113i | 2.31740 | + | 2.36795i | ||||
\(193\) | 3.31857 | − | 0.889207i | 0.238876 | − | 0.0640065i | −0.137395 | − | 0.990516i | \(-0.543873\pi\) |
0.376271 | + | 0.926510i | \(0.377206\pi\) | |||||||
\(194\) | 6.05465 | − | 10.4870i | 0.434699 | − | 0.752920i | ||||
\(195\) | −3.73210 | − | 0.0951128i | −0.267261 | − | 0.00681117i | ||||
\(196\) | 37.3798 | − | 4.70292i | 2.66999 | − | 0.335923i | ||||
\(197\) | 0.441048 | − | 0.441048i | 0.0314234 | − | 0.0314234i | −0.691221 | − | 0.722644i | \(-0.742927\pi\) |
0.722644 | + | 0.691221i | \(0.242927\pi\) | |||||||
\(198\) | 14.6321 | − | 3.58419i | 1.03986 | − | 0.254718i | ||||
\(199\) | 7.80790 | 0.553487 | 0.276744 | − | 0.960944i | \(-0.410745\pi\) | ||||
0.276744 | + | 0.960944i | \(0.410745\pi\) | |||||||
\(200\) | −44.7101 | + | 10.5826i | −3.16148 | + | 0.748300i | ||||
\(201\) | 0.677135 | + | 0.400745i | 0.0477614 | + | 0.0282664i | ||||
\(202\) | −18.4819 | + | 4.95220i | −1.30038 | + | 0.348436i | ||||
\(203\) | 1.16305 | − | 1.31855i | 0.0816301 | − | 0.0925439i | ||||
\(204\) | −35.9996 | − | 21.3054i | −2.52047 | − | 1.49168i | ||||
\(205\) | −8.16015 | − | 0.119897i | −0.569930 | − | 0.00837396i | ||||
\(206\) | − | 51.3291i | − | 3.57627i | ||||||
\(207\) | −3.38694 | − | 13.8268i | −0.235408 | − | 0.961030i | ||||
\(208\) | 9.68058 | − | 9.68058i | 0.671227 | − | 0.671227i | ||||
\(209\) | −4.24889 | − | 7.35929i | −0.293902 | − | 0.509053i | ||||
\(210\) | 6.20336 | − | 27.1410i | 0.428073 | − | 1.87291i | ||||
\(211\) | −9.22048 | + | 15.9703i | −0.634764 | + | 1.09944i | 0.351801 | + | 0.936075i | \(0.385569\pi\) |
−0.986565 | + | 0.163369i | \(0.947764\pi\) | |||||||
\(212\) | 13.5581 | + | 50.5996i | 0.931175 | + | 3.47519i | ||||
\(213\) | 1.04130 | − | 1.01907i | 0.0713488 | − | 0.0698258i | ||||
\(214\) | 5.07447 | − | 2.92975i | 0.346884 | − | 0.200273i | ||||
\(215\) | 1.61340 | + | 6.39571i | 0.110033 | + | 0.436184i | ||||
\(216\) | −1.54499 | + | 47.7229i | −0.105123 | + | 3.24713i | ||||
\(217\) | 15.0337 | + | 3.03529i | 1.02055 | + | 0.206049i | ||||
\(218\) | 3.92001 | − | 14.6297i | 0.265496 | − | 0.990846i | ||||
\(219\) | 0.0727349 | − | 6.74218i | 0.00491497 | − | 0.455594i | ||||
\(220\) | −10.8371 | − | 19.4239i | −0.730635 | − | 1.30956i | ||||
\(221\) | −2.16279 | + | 3.74606i | −0.145485 | + | 0.251987i | ||||
\(222\) | −8.02323 | + | 28.7010i | −0.538484 | + | 1.92629i | ||||
\(223\) | −19.0379 | − | 5.10119i | −1.27487 | − | 0.341601i | −0.442976 | − | 0.896533i | \(-0.646077\pi\) |
−0.831895 | + | 0.554932i | \(0.812744\pi\) | |||||||
\(224\) | 29.5792 | + | 44.5448i | 1.97634 | + | 2.97627i | ||||
\(225\) | −12.5915 | − | 8.15196i | −0.839433 | − | 0.543464i | ||||
\(226\) | −26.5205 | −1.76412 | ||||||||
\(227\) | −6.16334 | + | 23.0019i | −0.409075 | + | 1.52669i | 0.387338 | + | 0.921938i | \(0.373395\pi\) |
−0.796413 | + | 0.604753i | \(0.793272\pi\) | |||||||
\(228\) | 41.5182 | − | 10.6461i | 2.74961 | − | 0.705055i | ||||
\(229\) | 10.8542 | − | 18.8000i | 0.717265 | − | 1.24234i | −0.244815 | − | 0.969570i | \(-0.578727\pi\) |
0.962080 | − | 0.272769i | \(-0.0879394\pi\) | |||||||
\(230\) | −25.1757 | + | 14.0461i | −1.66003 | + | 0.926173i | ||||
\(231\) | 8.45817 | − | 0.438447i | 0.556507 | − | 0.0288477i | ||||
\(232\) | 5.89840 | + | 1.58047i | 0.387249 | + | 0.103763i | ||||
\(233\) | 15.3200 | + | 15.3200i | 1.00365 | + | 1.00365i | 0.999993 | + | 0.00365459i | \(0.00116330\pi\) |
0.00365459 | + | 0.999993i | \(0.498837\pi\) | |||||||
\(234\) | 7.85522 | + | 0.169505i | 0.513512 | + | 0.0110809i | ||||
\(235\) | 3.44177 | + | 13.6436i | 0.224517 | + | 0.890010i | ||||
\(236\) | −50.8271 | + | 29.3450i | −3.30856 | + | 1.91020i | ||||
\(237\) | 5.95041 | − | 21.2860i | 0.386520 | − | 1.38268i | ||||
\(238\) | −24.1914 | − | 21.3385i | −1.56810 | − | 1.38317i | ||||
\(239\) | 9.11536 | + | 5.26276i | 0.589624 | + | 0.340419i | 0.764949 | − | 0.644091i | \(-0.222764\pi\) |
−0.175325 | + | 0.984511i | \(0.556098\pi\) | |||||||
\(240\) | 53.4775 | − | 12.8784i | 3.45196 | − | 0.831300i | ||||
\(241\) | −15.5209 | + | 8.96102i | −0.999791 | + | 0.577230i | −0.908187 | − | 0.418566i | \(-0.862533\pi\) |
−0.0916048 | + | 0.995795i | \(0.529200\pi\) | |||||||
\(242\) | −14.5707 | + | 14.5707i | −0.936641 | + | 0.936641i | ||||
\(243\) | −11.6009 | + | 10.4124i | −0.744200 | + | 0.667957i | ||||
\(244\) | 6.61541 | 0.423508 | ||||||||
\(245\) | 6.28418 | − | 14.3356i | 0.401482 | − | 0.915867i | ||||
\(246\) | 17.1745 | + | 0.185279i | 1.09501 | + | 0.0118130i | ||||
\(247\) | −1.14710 | − | 4.28103i | −0.0729882 | − | 0.272396i | ||||
\(248\) | 13.7867 | + | 51.4527i | 0.875458 | + | 3.26725i | ||||
\(249\) | 0.239377 | − | 0.134782i | 0.0151699 | − | 0.00854149i | ||||
\(250\) | −9.14735 | + | 28.9670i | −0.578529 | + | 1.83203i | ||||
\(251\) | − | 6.53469i | − | 0.412466i | −0.978503 | − | 0.206233i | \(-0.933880\pi\) | ||
0.978503 | − | 0.206233i | \(-0.0661204\pi\) | |||||||
\(252\) | −9.35572 | + | 41.6818i | −0.589355 | + | 2.62571i | ||||
\(253\) | −6.20139 | − | 6.20139i | −0.389878 | − | 0.389878i | ||||
\(254\) | 2.34529 | − | 1.35405i | 0.147157 | − | 0.0849609i | ||||
\(255\) | −15.2677 | + | 8.30354i | −0.956101 | + | 0.519988i | ||||
\(256\) | −16.4173 | + | 28.4356i | −1.02608 | + | 1.77723i | ||||
\(257\) | 5.72261 | − | 1.53337i | 0.356967 | − | 0.0956489i | −0.0758789 | − | 0.997117i | \(-0.524176\pi\) |
0.432845 | + | 0.901468i | \(0.357510\pi\) | |||||||
\(258\) | −3.44806 | − | 13.4469i | −0.214667 | − | 0.837168i | ||||
\(259\) | −7.45351 | + | 15.0054i | −0.463138 | + | 0.932393i | ||||
\(260\) | −2.83753 | − | 11.2483i | −0.175976 | − | 0.697590i | ||||
\(261\) | 0.959324 | + | 1.74762i | 0.0593807 | + | 0.108175i | ||||
\(262\) | −40.8301 | − | 40.8301i | −2.52249 | − | 2.52249i | ||||
\(263\) | 0.574999 | − | 2.14593i | 0.0354560 | − | 0.132324i | −0.945929 | − | 0.324373i | \(-0.894847\pi\) |
0.981385 | + | 0.192049i | \(0.0615134\pi\) | |||||||
\(264\) | 14.4323 | + | 25.6321i | 0.888247 | + | 1.57755i | ||||
\(265\) | 20.9374 | + | 5.94117i | 1.28617 | + | 0.364963i | ||||
\(266\) | 32.9870 | − | 2.06697i | 2.02256 | − | 0.126734i | ||||
\(267\) | −13.0879 | + | 12.8085i | −0.800967 | + | 0.783870i | ||||
\(268\) | −0.632804 | + | 2.36166i | −0.0386546 | + | 0.144261i | ||||
\(269\) | −23.2623 | −1.41832 | −0.709162 | − | 0.705045i | \(-0.750927\pi\) | ||||
−0.709162 | + | 0.705045i | \(0.750927\pi\) | |||||||
\(270\) | 26.5665 | + | 17.0528i | 1.61679 | + | 1.03780i | ||||
\(271\) | − | 7.00818i | − | 0.425717i | −0.977083 | − | 0.212858i | \(-0.931723\pi\) | ||
0.977083 | − | 0.212858i | \(-0.0682773\pi\) | |||||||
\(272\) | 16.4952 | − | 61.5611i | 1.00017 | − | 3.73269i | ||||
\(273\) | 4.32027 | + | 0.920871i | 0.261474 | + | 0.0557336i | ||||
\(274\) | 6.34945 | + | 3.66586i | 0.383584 | + | 0.221463i | ||||
\(275\) | −9.23702 | − | 0.271497i | −0.557013 | − | 0.0163719i | ||||
\(276\) | 38.5449 | − | 21.7029i | 2.32013 | − | 1.30636i | ||||
\(277\) | 10.1150 | + | 2.71032i | 0.607754 | + | 0.162847i | 0.549555 | − | 0.835458i | \(-0.314797\pi\) |
0.0581994 | + | 0.998305i | \(0.481464\pi\) | |||||||
\(278\) | 28.8350 | − | 28.8350i | 1.72941 | − | 1.72941i | ||||
\(279\) | −9.01817 | + | 14.8696i | −0.539904 | + | 0.890218i | ||||
\(280\) | 54.3011 | − | 2.60228i | 3.24511 | − | 0.155516i | ||||
\(281\) | −8.57764 | − | 14.8569i | −0.511699 | − | 0.886289i | −0.999908 | − | 0.0135620i | \(-0.995683\pi\) |
0.488209 | − | 0.872727i | \(-0.337650\pi\) | |||||||
\(282\) | −7.35553 | − | 28.6855i | −0.438016 | − | 1.70820i | ||||
\(283\) | −1.31537 | − | 4.90902i | −0.0781905 | − | 0.291811i | 0.915747 | − | 0.401755i | \(-0.131600\pi\) |
−0.993938 | + | 0.109944i | \(0.964933\pi\) | |||||||
\(284\) | 3.92081 | + | 2.26368i | 0.232658 | + | 0.134325i | ||||
\(285\) | 5.04563 | − | 17.0777i | 0.298877 | − | 1.01159i | ||||
\(286\) | 4.19197 | − | 2.42024i | 0.247877 | − | 0.143112i | ||||
\(287\) | 9.46527 | + | 1.91103i | 0.558717 | + | 0.112805i | ||||
\(288\) | −58.8896 | + | 14.4253i | −3.47010 | + | 0.850016i | ||||
\(289\) | 3.13679i | 0.184517i | ||||||||
\(290\) | 2.89645 | − | 2.81256i | 0.170085 | − | 0.165159i | ||||
\(291\) | 3.78742 | + | 6.72655i | 0.222023 | + | 0.394318i | ||||
\(292\) | 20.2376 | − | 5.42264i | 1.18431 | − | 0.317336i | ||||
\(293\) | −0.990116 | − | 3.69516i | −0.0578432 | − | 0.215874i | 0.930955 | − | 0.365135i | \(-0.118977\pi\) |
−0.988798 | + | 0.149261i | \(0.952310\pi\) | |||||||
\(294\) | −13.1076 | + | 30.2218i | −0.764454 | + | 1.76257i | ||||
\(295\) | −0.358231 | + | 24.3811i | −0.0208570 | + | 1.41952i | ||||
\(296\) | −58.1914 | −3.38230 | ||||||||
\(297\) | −2.78443 | + | 9.19102i | −0.161569 | + | 0.533317i | ||||
\(298\) | −7.02609 | − | 7.02609i | −0.407010 | − | 0.407010i | ||||
\(299\) | −2.28704 | − | 3.96127i | −0.132263 | − | 0.229086i | ||||
\(300\) | 13.8620 | − | 44.5011i | 0.800321 | − | 2.56927i | ||||
\(301\) | −0.488079 | − | 7.78930i | −0.0281324 | − | 0.448968i | ||||
\(302\) | −5.98093 | − | 22.3211i | −0.344164 | − | 1.28444i | ||||
\(303\) | 3.28388 | − | 11.7472i | 0.188654 | − | 0.674860i | ||||
\(304\) | 32.6508 | + | 56.5528i | 1.87265 | + | 3.24352i | ||||
\(305\) | 1.40906 | − | 2.35980i | 0.0806825 | − | 0.135122i | ||||
\(306\) | 32.0636 | − | 17.6008i | 1.83295 | − | 1.00617i | ||||
\(307\) | −6.56783 | − | 6.56783i | −0.374846 | − | 0.374846i | 0.494393 | − | 0.869239i | \(-0.335390\pi\) |
−0.869239 | + | 0.494393i | \(0.835390\pi\) | |||||||
\(308\) | 8.38796 | + | 24.9452i | 0.477948 | + | 1.42139i | ||||
\(309\) | 28.1596 | + | 16.6656i | 1.60195 | + | 0.948071i | ||||
\(310\) | 33.8805 | + | 9.61392i | 1.92428 | + | 0.546034i | ||||
\(311\) | −8.11941 | − | 4.68775i | −0.460410 | − | 0.265818i | 0.251807 | − | 0.967778i | \(-0.418975\pi\) |
−0.712217 | + | 0.701960i | \(0.752309\pi\) | |||||||
\(312\) | 3.81071 | + | 14.8612i | 0.215739 | + | 0.841351i | ||||
\(313\) | −2.23751 | − | 0.599538i | −0.126471 | − | 0.0338879i | 0.195028 | − | 0.980798i | \(-0.437520\pi\) |
−0.321500 | + | 0.946910i | \(0.604187\pi\) | |||||||
\(314\) | 26.3923 | 1.48940 | ||||||||
\(315\) | 12.8757 | + | 12.2154i | 0.725465 | + | 0.688259i | ||||
\(316\) | 68.6787 | 3.86348 | ||||||||
\(317\) | −4.75897 | − | 1.27516i | −0.267291 | − | 0.0716203i | 0.122684 | − | 0.992446i | \(-0.460850\pi\) |
−0.389975 | + | 0.920825i | \(0.627516\pi\) | |||||||
\(318\) | −44.1128 | − | 12.3315i | −2.47372 | − | 0.691517i | ||||
\(319\) | 1.06365 | + | 0.614098i | 0.0595529 | + | 0.0343829i | ||||
\(320\) | 28.8772 | + | 51.7583i | 1.61429 | + | 2.89338i | ||||
\(321\) | −0.0402948 | + | 3.73513i | −0.00224904 | + | 0.208475i | ||||
\(322\) | 32.3319 | − | 10.8718i | 1.80179 | − | 0.605860i | ||||
\(323\) | −14.5894 | − | 14.5894i | −0.811773 | − | 0.811773i | ||||
\(324\) | −40.8653 | − | 26.0064i | −2.27030 | − | 1.44480i | ||||
\(325\) | −4.61680 | − | 1.38366i | −0.256094 | − | 0.0767519i | ||||
\(326\) | −3.96264 | − | 6.86349i | −0.219470 | − | 0.380134i | ||||
\(327\) | 6.75322 | + | 6.90052i | 0.373454 | + | 0.381600i | ||||
\(328\) | 8.68018 | + | 32.3949i | 0.479283 | + | 1.78871i | ||||
\(329\) | −1.04119 | − | 16.6165i | −0.0574027 | − | 0.916095i | ||||
\(330\) | 19.4421 | + | 0.495483i | 1.07025 | + | 0.0272755i | ||||
\(331\) | −16.6004 | − | 28.7527i | −0.912438 | − | 1.58039i | −0.810609 | − | 0.585588i | \(-0.800864\pi\) |
−0.101829 | − | 0.994802i | \(-0.532470\pi\) | |||||||
\(332\) | 0.603607 | + | 0.603607i | 0.0331273 | + | 0.0331273i | ||||
\(333\) | −13.1407 | − | 13.7203i | −0.720104 | − | 0.751867i | ||||
\(334\) | −42.8458 | −2.34442 | ||||||||
\(335\) | 0.707649 | + | 0.728754i | 0.0386630 | + | 0.0398161i | ||||
\(336\) | −64.9971 | + | 3.36927i | −3.54589 | + | 0.183809i | ||||
\(337\) | −1.61938 | − | 6.04361i | −0.0882133 | − | 0.329217i | 0.907690 | − | 0.419641i | \(-0.137844\pi\) |
−0.995903 | + | 0.0904249i | \(0.971177\pi\) | |||||||
\(338\) | −31.6789 | + | 8.48833i | −1.72310 | + | 0.461704i | ||||
\(339\) | 8.61068 | − | 14.5494i | 0.467668 | − | 0.790214i | ||||
\(340\) | −37.6218 | − | 38.7438i | −2.04033 | − | 2.10118i | ||||
\(341\) | 10.7138i | 0.580182i | ||||||||
\(342\) | −10.4785 | + | 35.9824i | −0.566613 | + | 1.94571i | ||||
\(343\) | −10.4216 | + | 15.3098i | −0.562712 | + | 0.826653i | ||||
\(344\) | 23.4749 | − | 13.5532i | 1.26568 | − | 0.730742i | ||||
\(345\) | 0.468214 | − | 18.3721i | 0.0252078 | − | 0.989121i | ||||
\(346\) | −14.5737 | − | 8.41416i | −0.783490 | − | 0.452348i | ||||
\(347\) | −2.35383 | − | 8.78461i | −0.126360 | − | 0.471583i | 0.873524 | − | 0.486780i | \(-0.161829\pi\) |
−0.999885 | + | 0.0151979i | \(0.995162\pi\) | |||||||
\(348\) | −4.42740 | + | 4.33289i | −0.237333 | + | 0.232267i | ||||
\(349\) | −15.1545 | − | 26.2484i | −0.811204 | − | 1.40505i | −0.912022 | − | 0.410141i | \(-0.865479\pi\) |
0.100818 | − | 0.994905i | \(-0.467854\pi\) | |||||||
\(350\) | 16.9283 | − | 31.7064i | 0.904855 | − | 1.69478i | ||||
\(351\) | −2.64343 | + | 4.25441i | −0.141096 | + | 0.227084i | ||||
\(352\) | −26.4122 | + | 26.4122i | −1.40778 | + | 1.40778i | ||||
\(353\) | 11.3280 | + | 3.03533i | 0.602930 | + | 0.161555i | 0.547356 | − | 0.836900i | \(-0.315634\pi\) |
0.0555740 | + | 0.998455i | \(0.482301\pi\) | |||||||
\(354\) | 0.553582 | − | 51.3144i | 0.0294226 | − | 2.72733i | ||||
\(355\) | 1.64261 | − | 0.916450i | 0.0871804 | − | 0.0486401i | ||||
\(356\) | −49.2799 | − | 28.4518i | −2.61183 | − | 1.50794i | ||||
\(357\) | 19.5610 | − | 6.34345i | 1.03528 | − | 0.335731i | ||||
\(358\) | −15.1392 | + | 56.5003i | −0.800133 | + | 2.98614i | ||||
\(359\) | − | 16.6314i | − | 0.877773i | −0.898543 | − | 0.438886i | \(-0.855373\pi\) | ||
0.898543 | − | 0.438886i | \(-0.144627\pi\) | |||||||
\(360\) | −18.1026 | + | 58.9242i | −0.954093 | + | 3.10558i | ||||
\(361\) | 2.14033 | 0.112649 | ||||||||
\(362\) | −1.42600 | + | 5.32190i | −0.0749488 | + | 0.279713i | ||||
\(363\) | −3.26281 | − | 12.7245i | −0.171253 | − | 0.667861i | ||||
\(364\) | 0.858398 | + | 13.6993i | 0.0449923 | + | 0.718036i | ||||
\(365\) | 2.37620 | − | 8.37401i | 0.124376 | − | 0.438316i | ||||
\(366\) | −2.94606 | + | 4.97793i | −0.153993 | + | 0.260201i | ||||
\(367\) | 2.74138 | − | 10.2310i | 0.143099 | − | 0.534052i | −0.856734 | − | 0.515759i | \(-0.827510\pi\) |
0.999833 | − | 0.0182935i | \(-0.00582332\pi\) | |||||||
\(368\) | 47.6548 | + | 47.6548i | 2.48418 | + | 2.48418i | ||||
\(369\) | −5.67788 | + | 9.36195i | −0.295579 | + | 0.487364i | ||||
\(370\) | −19.7241 | + | 33.0327i | −1.02541 | + | 1.71729i | ||||
\(371\) | −23.0630 | − | 11.4559i | −1.19737 | − | 0.594759i | ||||
\(372\) | −52.0432 | − | 14.5484i | −2.69831 | − | 0.754301i | ||||
\(373\) | 30.5624 | − | 8.18916i | 1.58246 | − | 0.424019i | 0.642773 | − | 0.766057i | \(-0.277784\pi\) |
0.939686 | + | 0.342038i | \(0.111117\pi\) | |||||||
\(374\) | 11.2669 | − | 19.5148i | 0.582597 | − | 1.00909i | ||||
\(375\) | −12.9216 | − | 14.4233i | −0.667268 | − | 0.744818i | ||||
\(376\) | 50.0776 | − | 28.9123i | 2.58256 | − | 1.49104i | ||||
\(377\) | 0.452952 | + | 0.452952i | 0.0233282 | + | 0.0233282i | ||||
\(378\) | −27.1981 | − | 25.6022i | −1.39892 | − | 1.31684i | ||||
\(379\) | 32.2804i | 1.65813i | 0.559151 | + | 0.829066i | \(0.311127\pi\) | ||||
−0.559151 | + | 0.829066i | \(0.688873\pi\) | |||||||
\(380\) | 55.3278 | + | 0.812930i | 2.83826 | + | 0.0417025i | ||||
\(381\) | −0.0186232 | + | 1.72628i | −0.000954096 | + | 0.0884402i | ||||
\(382\) | −13.5303 | − | 50.4958i | −0.692271 | − | 2.58359i | ||||
\(383\) | −0.955322 | − | 3.56531i | −0.0488147 | − | 0.182179i | 0.937214 | − | 0.348755i | \(-0.113395\pi\) |
−0.986029 | + | 0.166576i | \(0.946729\pi\) | |||||||
\(384\) | −26.8501 | − | 47.6865i | −1.37019 | − | 2.43349i | ||||
\(385\) | 10.6849 | + | 2.32115i | 0.544553 | + | 0.118297i | ||||
\(386\) | −9.33461 | −0.475119 | ||||||||
\(387\) | 8.49662 | + | 2.47431i | 0.431907 | + | 0.125776i | ||||
\(388\) | −16.9615 | + | 16.9615i | −0.861091 | + | 0.861091i | ||||
\(389\) | −3.23475 | + | 1.86758i | −0.164008 | + | 0.0946903i | −0.579758 | − | 0.814789i | \(-0.696853\pi\) |
0.415749 | + | 0.909479i | \(0.363519\pi\) | |||||||
\(390\) | 9.72772 | + | 2.87407i | 0.492582 | + | 0.145534i | ||||
\(391\) | −18.4408 | − | 10.6468i | −0.932592 | − | 0.538432i | ||||
\(392\) | −63.7241 | − | 8.76202i | −3.21855 | − | 0.442549i | ||||
\(393\) | 35.6565 | − | 9.14303i | 1.79863 | − | 0.461205i | ||||
\(394\) | −1.46764 | + | 0.847345i | −0.0739389 | + | 0.0426886i | ||||
\(395\) | 14.6283 | − | 24.4986i | 0.736031 | − | 1.23266i | ||||
\(396\) | −29.8345 | − | 0.643788i | −1.49924 | − | 0.0323515i | ||||
\(397\) | 4.37221 | + | 4.37221i | 0.219435 | + | 0.219435i | 0.808260 | − | 0.588825i | \(-0.200409\pi\) |
−0.588825 | + | 0.808260i | \(0.700409\pi\) | |||||||
\(398\) | −20.4912 | − | 5.49060i | −1.02713 | − | 0.275219i | ||||
\(399\) | −9.57628 | + | 18.7681i | −0.479414 | + | 0.939580i | ||||
\(400\) | 70.9823 | + | 2.08633i | 3.54911 | + | 0.104317i | ||||
\(401\) | −11.3985 | + | 19.7428i | −0.569214 | + | 0.985908i | 0.427429 | + | 0.904049i | \(0.359419\pi\) |
−0.996644 | + | 0.0818596i | \(0.973914\pi\) | |||||||
\(402\) | −1.49528 | − | 1.52789i | −0.0745777 | − | 0.0762043i | ||||
\(403\) | −1.44623 | + | 5.39741i | −0.0720419 | + | 0.268864i | ||||
\(404\) | 37.9021 | 1.88570 | ||||||||
\(405\) | −17.9810 | + | 9.03794i | −0.893482 | + | 0.449099i | ||||
\(406\) | −3.97955 | + | 2.64255i | −0.197502 | + | 0.131148i | ||||
\(407\) | −11.3052 | − | 3.02923i | −0.560379 | − | 0.150153i | ||||
\(408\) | 49.9548 | + | 51.0444i | 2.47313 | + | 2.52707i | ||||
\(409\) | −6.34057 | + | 10.9822i | −0.313521 | + | 0.543034i | −0.979122 | − | 0.203273i | \(-0.934842\pi\) |
0.665601 | + | 0.746308i | \(0.268175\pi\) | |||||||
\(410\) | 21.3313 | + | 6.05297i | 1.05348 | + | 0.298935i | ||||
\(411\) | −4.07267 | + | 2.29314i | −0.200890 | + | 0.113112i | ||||
\(412\) | −26.3160 | + | 98.2128i | −1.29650 | + | 4.83860i | ||||
\(413\) | 5.70982 | − | 28.2806i | 0.280962 | − | 1.39160i | ||||
\(414\) | −0.834424 | + | 38.6691i | −0.0410097 | + | 1.90048i | ||||
\(415\) | 0.343881 | − | 0.0867485i | 0.0168805 | − | 0.00425832i | ||||
\(416\) | −16.8714 | + | 9.74069i | −0.827187 | + | 0.477577i | ||||
\(417\) | 6.45698 | + | 25.1813i | 0.316200 | + | 1.23313i | ||||
\(418\) | 5.97573 | + | 22.3017i | 0.292282 | + | 1.09081i | ||||
\(419\) | −12.4249 | + | 21.5205i | −0.606995 | + | 1.05135i | 0.384737 | + | 0.923026i | \(0.374292\pi\) |
−0.991733 | + | 0.128321i | \(0.959041\pi\) | |||||||
\(420\) | −25.7845 | + | 48.7511i | −1.25815 | + | 2.37881i | ||||
\(421\) | 18.8246 | + | 32.6052i | 0.917455 | + | 1.58908i | 0.803266 | + | 0.595620i | \(0.203094\pi\) |
0.114189 | + | 0.993459i | \(0.463573\pi\) | |||||||
\(422\) | 35.4289 | − | 35.4289i | 1.72465 | − | 1.72465i | ||||
\(423\) | 18.1253 | + | 5.27831i | 0.881284 | + | 0.256640i | ||||
\(424\) | − | 89.4388i | − | 4.34353i | ||||||
\(425\) | −21.8337 | + | 5.16789i | −1.05909 | + | 0.250680i | ||||
\(426\) | −3.44943 | + | 1.94222i | −0.167126 | + | 0.0941009i | ||||
\(427\) | −2.15123 | + | 2.43885i | −0.104105 | + | 0.118024i | ||||
\(428\) | −11.2115 | + | 3.00412i | −0.541929 | + | 0.145209i | ||||
\(429\) | −0.0332871 | + | 3.08556i | −0.00160712 | + | 0.148972i | ||||
\(430\) | 0.263292 | − | 17.9196i | 0.0126971 | − | 0.864159i | ||||
\(431\) | 20.2933 | 0.977496 | 0.488748 | − | 0.872425i | \(-0.337454\pi\) | ||||
0.488748 | + | 0.872425i | \(0.337454\pi\) | |||||||
\(432\) | 21.3971 | − | 70.6288i | 1.02947 | − | 3.39813i | ||||
\(433\) | 13.5264 | − | 13.5264i | 0.650039 | − | 0.650039i | −0.302963 | − | 0.953002i | \(-0.597976\pi\) |
0.953002 | + | 0.302963i | \(0.0979760\pi\) | |||||||
\(434\) | −37.3202 | − | 18.5377i | −1.79143 | − | 0.889838i | ||||
\(435\) | 0.602579 | + | 2.50220i | 0.0288915 | + | 0.119971i | ||||
\(436\) | −15.0010 | + | 25.9825i | −0.718419 | + | 1.24434i | ||||
\(437\) | 21.0743 | − | 5.64685i | 1.00812 | − | 0.270126i | ||||
\(438\) | −4.93206 | + | 17.6431i | −0.235663 | + | 0.843022i | ||||
\(439\) | −7.22100 | − | 12.5071i | −0.344640 | − | 0.596933i | 0.640649 | − | 0.767834i | \(-0.278666\pi\) |
−0.985288 | + | 0.170901i | \(0.945332\pi\) | |||||||
\(440\) | 9.28889 | + | 36.8223i | 0.442831 | + | 1.75543i | ||||
\(441\) | −12.3241 | − | 17.0034i | −0.586864 | − | 0.809685i | ||||
\(442\) | 8.31033 | − | 8.31033i | 0.395282 | − | 0.395282i | ||||
\(443\) | −3.44903 | + | 12.8720i | −0.163868 | + | 0.611565i | 0.834313 | + | 0.551290i | \(0.185864\pi\) |
−0.998182 | + | 0.0602748i | \(0.980802\pi\) | |||||||
\(444\) | 30.0664 | − | 50.8029i | 1.42689 | − | 2.41100i | ||||
\(445\) | −20.6456 | + | 11.5187i | −0.978694 | + | 0.546037i | ||||
\(446\) | 46.3762 | + | 26.7753i | 2.19598 | + | 1.26785i | ||||
\(447\) | 6.13581 | − | 1.57334i | 0.290214 | − | 0.0744167i | ||||
\(448\) | −22.3511 | − | 66.4708i | −1.05599 | − | 3.14045i | ||||
\(449\) | − | 7.14525i | − | 0.337205i | −0.985684 | − | 0.168603i | \(-0.946075\pi\) | ||
0.985684 | − | 0.168603i | \(-0.0539255\pi\) | |||||||
\(450\) | 27.3128 | + | 30.2486i | 1.28754 | + | 1.42593i | ||||
\(451\) | 6.74543i | 0.317630i | ||||||||
\(452\) | 50.7441 | + | 13.5968i | 2.38680 | + | 0.639542i | ||||
\(453\) | 14.1875 | + | 3.96604i | 0.666586 | + | 0.186341i | ||||
\(454\) | 32.3504 | − | 56.0325i | 1.51828 | − | 2.62974i | ||||
\(455\) | 5.06954 | + | 2.61169i | 0.237664 | + | 0.122438i | ||||
\(456\) | −73.1752 | − | 0.789417i | −3.42674 | − | 0.0369678i | ||||
\(457\) | −40.4652 | − | 10.8426i | −1.89288 | − | 0.507197i | −0.998164 | − | 0.0605682i | \(-0.980709\pi\) |
−0.894720 | − | 0.446628i | \(-0.852625\pi\) | |||||||
\(458\) | −41.7063 | + | 41.7063i | −1.94881 | + | 1.94881i | ||||
\(459\) | −0.754481 | + | 23.3050i | −0.0352161 | + | 1.08779i | ||||
\(460\) | 55.3723 | − | 13.9684i | 2.58175 | − | 0.651279i | ||||
\(461\) | −0.581473 | + | 0.335714i | −0.0270819 | + | 0.0156357i | −0.513480 | − | 0.858102i | \(-0.671644\pi\) |
0.486398 | + | 0.873737i | \(0.338311\pi\) | |||||||
\(462\) | −22.5061 | − | 4.79721i | −1.04708 | − | 0.223186i | ||||
\(463\) | −15.3977 | + | 4.12580i | −0.715592 | + | 0.191742i | −0.598204 | − | 0.801344i | \(-0.704119\pi\) |
−0.117388 | + | 0.993086i | \(0.537452\pi\) | |||||||
\(464\) | −8.17365 | − | 4.71906i | −0.379452 | − | 0.219077i | ||||
\(465\) | −16.2746 | + | 15.4657i | −0.754718 | + | 0.717206i | ||||
\(466\) | −29.4329 | − | 50.9793i | −1.36345 | − | 2.36157i | ||||
\(467\) | −10.6717 | − | 10.6717i | −0.493825 | − | 0.493825i | 0.415684 | − | 0.909509i | \(-0.363542\pi\) |
−0.909509 | + | 0.415684i | \(0.863542\pi\) | |||||||
\(468\) | −14.9432 | − | 4.35164i | −0.690751 | − | 0.201155i | ||||
\(469\) | −0.664873 | − | 1.00126i | −0.0307010 | − | 0.0462341i | ||||
\(470\) | 0.561665 | − | 38.2268i | 0.0259077 | − | 1.76327i | ||||
\(471\) | −8.56906 | + | 14.4791i | −0.394841 | + | 0.667159i | ||||
\(472\) | 96.7902 | − | 25.9349i | 4.45513 | − | 1.19375i | ||||
\(473\) | 5.26616 | − | 1.41106i | 0.242138 | − | 0.0648807i | ||||
\(474\) | −30.5849 | + | 51.6790i | −1.40481 | + | 2.37370i | ||||
\(475\) | 12.0746 | − | 19.5630i | 0.554022 | − | 0.897613i | ||||
\(476\) | 35.3477 | + | 53.2318i | 1.62016 | + | 2.43987i | ||||
\(477\) | 21.0878 | − | 20.1969i | 0.965542 | − | 0.924752i | ||||
\(478\) | −20.2217 | − | 20.2217i | −0.924919 | − | 0.924919i | ||||
\(479\) | 14.9790 | + | 25.9443i | 0.684406 | + | 1.18543i | 0.973623 | + | 0.228163i | \(0.0732719\pi\) |
−0.289217 | + | 0.957264i | \(0.593395\pi\) | |||||||
\(480\) | −78.2484 | − | 1.99416i | −3.57153 | − | 0.0910207i | ||||
\(481\) | −5.28647 | − | 3.05214i | −0.241042 | − | 0.139166i | ||||
\(482\) | 47.0349 | − | 12.6030i | 2.14238 | − | 0.574049i | ||||
\(483\) | −4.53319 | + | 21.2675i | −0.206267 | + | 0.967703i | ||||
\(484\) | 35.3498 | − | 20.4092i | 1.60681 | − | 0.927692i | ||||
\(485\) | 2.43765 | + | 9.66314i | 0.110688 | + | 0.438781i | ||||
\(486\) | 37.7678 | − | 19.1686i | 1.71318 | − | 0.869507i | ||||
\(487\) | −17.9327 | + | 17.9327i | −0.812607 | + | 0.812607i | −0.985024 | − | 0.172417i | \(-0.944842\pi\) |
0.172417 | + | 0.985024i | \(0.444842\pi\) | |||||||
\(488\) | −10.9100 | − | 2.92332i | −0.493871 | − | 0.132332i | ||||
\(489\) | 5.05197 | + | 0.0545008i | 0.228458 | + | 0.00246461i | ||||
\(490\) | −26.5733 | + | 33.2035i | −1.20046 | + | 1.49998i | ||||
\(491\) | −20.2361 | + | 35.0499i | −0.913241 | + | 1.58178i | −0.103786 | + | 0.994600i | \(0.533096\pi\) |
−0.809456 | + | 0.587181i | \(0.800238\pi\) | |||||||
\(492\) | −32.7666 | − | 9.15976i | −1.47723 | − | 0.412954i | ||||
\(493\) | 2.88043 | + | 0.771809i | 0.129728 | + | 0.0347605i | ||||
\(494\) | 12.0419i | 0.541790i | ||||||||
\(495\) | −6.58430 | + | 10.5053i | −0.295942 | + | 0.472176i | ||||
\(496\) | − | 82.3303i | − | 3.69674i | ||||||
\(497\) | −2.10952 | + | 0.709338i | −0.0946250 | + | 0.0318181i | ||||
\(498\) | −0.723006 | + | 0.185393i | −0.0323987 | + | 0.00830766i | ||||
\(499\) | 12.8480 | + | 7.41778i | 0.575154 | + | 0.332066i | 0.759205 | − | 0.650851i | \(-0.225588\pi\) |
−0.184051 | + | 0.982917i | \(0.558921\pi\) | |||||||
\(500\) | 32.3536 | − | 50.7354i | 1.44690 | − | 2.26896i | ||||
\(501\) | 13.9112 | − | 23.5056i | 0.621506 | − | 1.05015i | ||||
\(502\) | −4.59526 | + | 17.1497i | −0.205097 | + | 0.765431i | ||||
\(503\) | 9.32634 | − | 9.32634i | 0.415841 | − | 0.415841i | −0.467926 | − | 0.883767i | \(-0.654999\pi\) |
0.883767 | + | 0.467926i | \(0.154999\pi\) | |||||||
\(504\) | 33.8482 | − | 64.6063i | 1.50772 | − | 2.87780i | ||||
\(505\) | 8.07300 | − | 13.5202i | 0.359244 | − | 0.601639i | ||||
\(506\) | 11.9141 | + | 20.6359i | 0.529648 | + | 0.917378i | ||||
\(507\) | 5.62874 | − | 20.1353i | 0.249981 | − | 0.894242i | ||||
\(508\) | −5.18167 | + | 1.38843i | −0.229900 | + | 0.0616014i | ||||
\(509\) | −7.59457 | + | 13.1542i | −0.336624 | + | 0.583049i | −0.983795 | − | 0.179295i | \(-0.942618\pi\) |
0.647172 | + | 0.762344i | \(0.275952\pi\) | |||||||
\(510\) | 45.9080 | − | 11.0555i | 2.03284 | − | 0.489548i | ||||
\(511\) | −4.58183 | + | 9.22417i | −0.202688 | + | 0.408053i | ||||
\(512\) | 18.3985 | − | 18.3985i | 0.813109 | − | 0.813109i | ||||
\(513\) | −16.3381 | − | 17.4314i | −0.721347 | − | 0.769615i | ||||
\(514\) | −16.0968 | −0.710000 | ||||||||
\(515\) | 29.4286 | + | 30.3063i | 1.29678 | + | 1.33545i | ||||
\(516\) | −0.296639 | + | 27.4970i | −0.0130588 | + | 1.21049i | ||||
\(517\) | 11.2340 | − | 3.01014i | 0.494070 | − | 0.132386i | ||||
\(518\) | 30.1131 | − | 34.1392i | 1.32309 | − | 1.49999i | ||||
\(519\) | 9.34790 | − | 5.26338i | 0.410327 | − | 0.231037i | ||||
\(520\) | −0.290984 | + | 19.8043i | −0.0127605 | + | 0.868476i | ||||
\(521\) | 30.2895i | 1.32701i | 0.748174 | + | 0.663503i | \(0.230931\pi\) | ||||
−0.748174 | + | 0.663503i | \(0.769069\pi\) | |||||||
\(522\) | −1.28873 | − | 5.26109i | −0.0564060 | − | 0.230271i | ||||
\(523\) | −12.2063 | + | 12.2063i | −0.533746 | + | 0.533746i | −0.921685 | − | 0.387939i | \(-0.873187\pi\) |
0.387939 | + | 0.921685i | \(0.373187\pi\) | |||||||
\(524\) | 57.1907 | + | 99.0572i | 2.49839 | + | 4.32733i | ||||
\(525\) | 11.8982 | + | 19.5815i | 0.519278 | + | 0.854605i | ||||
\(526\) | −3.01808 | + | 5.22746i | −0.131594 | + | 0.227928i | ||||
\(527\) | 6.73261 | + | 25.1264i | 0.293277 | + | 1.09453i | ||||
\(528\) | −11.2928 | − | 44.0402i | −0.491456 | − | 1.91661i | ||||
\(529\) | −0.418382 | + | 0.241553i | −0.0181905 | + | 0.0105023i | ||||
\(530\) | −50.7705 | − | 30.3155i | −2.20533 | − | 1.31682i | ||||
\(531\) | 27.9719 | + | 16.9645i | 1.21388 | + | 0.736197i | ||||
\(532\) | −64.1769 | − | 12.9573i | −2.78242 | − | 0.561768i | ||||
\(533\) | −0.910553 | + | 3.39823i | −0.0394404 | + | 0.147194i | ||||
\(534\) | 43.3552 | − | 24.4114i | 1.87616 | − | 1.05638i | ||||
\(535\) | −1.31641 | + | 4.63916i | −0.0569132 | + | 0.200568i | ||||
\(536\) | 2.08721 | − | 3.61515i | 0.0901536 | − | 0.156151i | ||||
\(537\) | −26.0812 | − | 26.6501i | −1.12549 | − | 1.15004i | ||||
\(538\) | 61.0499 | + | 16.3583i | 2.63205 | + | 0.705255i | ||||
\(539\) | −11.9240 | − | 5.01950i | −0.513602 | − | 0.216205i | ||||
\(540\) | −42.0894 | − | 46.2492i | −1.81124 | − | 1.99025i | ||||
\(541\) | 34.6353 | 1.48909 | 0.744543 | − | 0.667574i | \(-0.232667\pi\) | ||||
0.744543 | + | 0.667574i | \(0.232667\pi\) | |||||||
\(542\) | −4.92823 | + | 18.3924i | −0.211685 | + | 0.790021i | ||||
\(543\) | −2.45665 | − | 2.51023i | −0.105425 | − | 0.107724i | ||||
\(544\) | −45.3457 | + | 78.5410i | −1.94418 | + | 3.36742i | ||||
\(545\) | 6.07315 | + | 10.8853i | 0.260145 | + | 0.466273i | ||||
\(546\) | −10.6906 | − | 5.45481i | −0.457516 | − | 0.233444i | ||||
\(547\) | −26.8603 | − | 7.19719i | −1.14846 | − | 0.307730i | −0.366114 | − | 0.930570i | \(-0.619312\pi\) |
−0.782349 | + | 0.622840i | \(0.785979\pi\) | |||||||
\(548\) | −10.2695 | − | 10.2695i | −0.438693 | − | 0.438693i | ||||
\(549\) | −1.77441 | − | 3.23247i | −0.0757300 | − | 0.137959i | ||||
\(550\) | 24.0509 | + | 7.20810i | 1.02553 | + | 0.307354i | ||||
\(551\) | −2.64609 | + | 1.52772i | −0.112727 | + | 0.0650831i | ||||
\(552\) | −73.1576 | + | 18.7591i | −3.11379 | + | 0.798439i | ||||
\(553\) | −22.3333 | + | 25.3192i | −0.949708 | + | 1.07668i | ||||
\(554\) | −24.6402 | − | 14.2260i | −1.04686 | − | 0.604405i | ||||
\(555\) | −11.7180 | − | 21.5459i | −0.497402 | − | 0.914573i | ||||
\(556\) | −69.9561 | + | 40.3892i | −2.96680 | + | 1.71288i | ||||
\(557\) | 3.28310 | − | 3.28310i | 0.139109 | − | 0.139109i | −0.634123 | − | 0.773232i | \(-0.718639\pi\) |
0.773232 | + | 0.634123i | \(0.218639\pi\) | |||||||
\(558\) | 34.1239 | − | 32.6823i | 1.44458 | − | 1.38355i | ||||
\(559\) | 2.84348 | 0.120266 | ||||||||
\(560\) | −82.1085 | − | 17.8370i | −3.46972 | − | 0.753750i | ||||
\(561\) | 7.04788 | + | 12.5172i | 0.297562 | + | 0.528477i | ||||
\(562\) | 12.0638 | + | 45.0226i | 0.508880 | + | 1.89916i | ||||
\(563\) | −9.83388 | − | 36.7005i | −0.414448 | − | 1.54674i | −0.785938 | − | 0.618306i | \(-0.787819\pi\) |
0.371489 | − | 0.928437i | \(-0.378847\pi\) | |||||||
\(564\) | −0.632802 | + | 58.6578i | −0.0266458 | + | 2.46994i | ||||
\(565\) | 15.6585 | − | 15.2050i | 0.658757 | − | 0.639680i | ||||
\(566\) | 13.8083i | 0.580406i | ||||||||
\(567\) | 22.8763 | − | 6.60860i | 0.960716 | − | 0.277535i | ||||
\(568\) | −5.46580 | − | 5.46580i | −0.229340 | − | 0.229340i | ||||
\(569\) | −32.7045 | + | 18.8820i | −1.37104 | + | 0.791573i | −0.991060 | − | 0.133420i | \(-0.957404\pi\) |
−0.379985 | + | 0.924993i | \(0.624071\pi\) | |||||||
\(570\) | −25.2510 | + | 41.2708i | −1.05765 | + | 1.72864i | ||||
\(571\) | 10.1577 | − | 17.5937i | 0.425089 | − | 0.736275i | −0.571340 | − | 0.820713i | \(-0.693576\pi\) |
0.996429 | + | 0.0844384i | \(0.0269096\pi\) | |||||||
\(572\) | −9.26173 | + | 2.48167i | −0.387252 | + | 0.103764i | ||||
\(573\) | 32.0955 | + | 8.97215i | 1.34081 | + | 0.374817i | ||||
\(574\) | −23.4970 | − | 11.6714i | −0.980745 | − | 0.487156i | ||||
\(575\) | 6.81139 | − | 22.7272i | 0.284055 | − | 0.947791i | ||||
\(576\) | 79.4992 | + | 1.71548i | 3.31247 | + | 0.0714784i | ||||
\(577\) | 17.0063 | + | 17.0063i | 0.707981 | + | 0.707981i | 0.966110 | − | 0.258130i | \(-0.0831062\pi\) |
−0.258130 | + | 0.966110i | \(0.583106\pi\) | |||||||
\(578\) | 2.20582 | − | 8.23224i | 0.0917501 | − | 0.342416i | ||||
\(579\) | 3.03076 | − | 5.12105i | 0.125954 | − | 0.212824i | ||||
\(580\) | −6.98402 | + | 3.89655i | −0.289996 | + | 0.161796i | ||||
\(581\) | −0.418811 | + | 0.0262428i | −0.0173752 | + | 0.00108873i | ||||
\(582\) | −5.20959 | − | 20.3166i | −0.215945 | − | 0.842152i | ||||
\(583\) | 4.65585 | − | 17.3759i | 0.192826 | − | 0.719635i | ||||
\(584\) | −35.7715 | −1.48024 | ||||||||
\(585\) | −4.73514 | + | 4.40356i | −0.195774 | + | 0.182065i | ||||
\(586\) | 10.3939i | 0.429369i | ||||||||
\(587\) | 9.30842 | − | 34.7395i | 0.384199 | − | 1.43385i | −0.455225 | − | 0.890376i | \(-0.650441\pi\) |
0.839425 | − | 0.543476i | \(-0.182892\pi\) | |||||||
\(588\) | 40.5745 | − | 51.1059i | 1.67327 | − | 2.10757i | ||||
\(589\) | −23.0823 | − | 13.3266i | −0.951089 | − | 0.549111i | ||||
\(590\) | 18.0852 | − | 63.7343i | 0.744556 | − | 2.62390i | ||||
\(591\) | 0.0116541 | − | 1.08028i | 0.000479386 | − | 0.0444368i | ||||
\(592\) | 86.8755 | + | 23.2782i | 3.57056 | + | 0.956729i | ||||
\(593\) | 27.4760 | − | 27.4760i | 1.12830 | − | 1.12830i | 0.137849 | − | 0.990453i | \(-0.455981\pi\) |
0.990453 | − | 0.137849i | \(-0.0440189\pi\) | |||||||
\(594\) | 13.7707 | − | 22.1630i | 0.565020 | − | 0.909361i | ||||
\(595\) | 26.5174 | − | 1.27080i | 1.08711 | − | 0.0520976i | ||||
\(596\) | 9.84145 | + | 17.0459i | 0.403122 | + | 0.698227i | ||||
\(597\) | 9.66528 | − | 9.45897i | 0.395574 | − | 0.387130i | ||||
\(598\) | 3.21654 | + | 12.0043i | 0.131534 | + | 0.490892i | ||||
\(599\) | −26.1595 | − | 15.1032i | −1.06885 | − | 0.617099i | −0.140981 | − | 0.990012i | \(-0.545026\pi\) |
−0.927866 | + | 0.372913i | \(0.878359\pi\) | |||||||
\(600\) | −42.5256 | + | 67.2646i | −1.73610 | + | 2.74607i | ||||
\(601\) | −22.7129 | + | 13.1133i | −0.926480 | + | 0.534903i | −0.885696 | − | 0.464265i | \(-0.846319\pi\) |
−0.0407831 | + | 0.999168i | \(0.512985\pi\) | |||||||
\(602\) | −4.19660 | + | 20.7856i | −0.171041 | + | 0.847158i | ||||
\(603\) | 1.32370 | − | 0.324247i | 0.0539054 | − | 0.0132044i | ||||
\(604\) | 45.7755i | 1.86258i | ||||||||
\(605\) | 0.249146 | − | 16.9568i | 0.0101292 | − | 0.689394i | ||||
\(606\) | −16.8790 | + | 28.5203i | −0.685664 | + | 1.15856i | ||||
\(607\) | −38.5839 | + | 10.3385i | −1.56607 | + | 0.419628i | −0.934580 | − | 0.355754i | \(-0.884224\pi\) |
−0.631493 | + | 0.775382i | \(0.717557\pi\) | |||||||
\(608\) | −24.0504 | − | 89.7574i | −0.975374 | − | 3.64014i | ||||
\(609\) | −0.157647 | − | 3.04120i | −0.00638819 | − | 0.123236i | ||||
\(610\) | −5.35740 | + | 5.20225i | −0.216915 | + | 0.210633i | ||||
\(611\) | 6.06582 | 0.245397 | ||||||||
\(612\) | −70.3741 | + | 17.2384i | −2.84470 | + | 0.696822i | ||||
\(613\) | −7.95610 | − | 7.95610i | −0.321344 | − | 0.321344i | 0.527939 | − | 0.849282i | \(-0.322965\pi\) |
−0.849282 | + | 0.527939i | \(0.822965\pi\) | |||||||
\(614\) | 12.6182 | + | 21.8553i | 0.509227 | + | 0.882008i | ||||
\(615\) | −10.2466 | + | 9.73729i | −0.413182 | + | 0.392646i | ||||
\(616\) | −2.81004 | − | 44.8456i | −0.113220 | − | 1.80688i | ||||
\(617\) | −6.37378 | − | 23.7873i | −0.256599 | − | 0.957640i | −0.967194 | − | 0.254039i | \(-0.918241\pi\) |
0.710595 | − | 0.703601i | \(-0.248426\pi\) | |||||||
\(618\) | −62.1833 | − | 63.5396i | −2.50138 | − | 2.55594i | ||||
\(619\) | 6.26054 | + | 10.8436i | 0.251633 | + | 0.435840i | 0.963975 | − | 0.265991i | \(-0.0856992\pi\) |
−0.712343 | + | 0.701832i | \(0.752366\pi\) | |||||||
\(620\) | −59.8978 | − | 35.7655i | −2.40555 | − | 1.43638i | ||||
\(621\) | −20.9433 | − | 13.0129i | −0.840425 | − | 0.522188i | ||||
\(622\) | 18.0123 | + | 18.0123i | 0.722226 | + | 0.722226i | ||||
\(623\) | 26.5142 | − | 8.91552i | 1.06227 | − | 0.357193i | ||||
\(624\) | 0.255796 | − | 23.7111i | 0.0102401 | − | 0.949204i | ||||
\(625\) | −11.2068 | − | 22.3474i | −0.448272 | − | 0.893897i | ||||
\(626\) | 5.45055 | + | 3.14688i | 0.217848 | + | 0.125775i | ||||
\(627\) | −14.1751 | − | 3.96259i | −0.566101 | − | 0.158251i | ||||
\(628\) | −50.4988 | − | 13.5311i | −2.01512 | − | 0.539950i | ||||
\(629\) | −28.4172 | −1.13307 | ||||||||
\(630\) | −25.2013 | − | 41.1126i | −1.00404 | − | 1.63797i | ||||
\(631\) | −29.9315 | −1.19156 | −0.595778 | − | 0.803149i | \(-0.703156\pi\) | ||||
−0.595778 | + | 0.803149i | \(0.703156\pi\) | |||||||
\(632\) | −113.263 | − | 30.3488i | −4.50537 | − | 1.20721i | ||||
\(633\) | 7.93356 | + | 30.9397i | 0.315331 | + | 1.22974i | ||||
\(634\) | 11.5928 | + | 6.69312i | 0.460410 | + | 0.265818i | ||||
\(635\) | −0.608409 | + | 2.14410i | −0.0241440 | + | 0.0850861i | ||||
\(636\) | 78.0828 | + | 46.2113i | 3.09619 | + | 1.83240i | ||||
\(637\) | −5.32953 | − | 4.13833i | −0.211163 | − | 0.163967i | ||||
\(638\) | −2.35962 | − | 2.35962i | −0.0934182 | − | 0.0934182i | ||||
\(639\) | 0.0544426 | − | 2.52299i | 0.00215372 | − | 0.0998081i | ||||
\(640\) | −17.2812 | − | 68.5049i | −0.683101 | − | 2.70789i | ||||
\(641\) | −10.6677 | − | 18.4770i | −0.421348 | − | 0.729796i | 0.574724 | − | 0.818348i | \(-0.305110\pi\) |
−0.996072 | + | 0.0885516i | \(0.971776\pi\) | |||||||
\(642\) | 2.73234 | − | 9.77422i | 0.107837 | − | 0.385758i | ||||
\(643\) | 7.48426 | + | 27.9316i | 0.295150 | + | 1.10152i | 0.941098 | + | 0.338134i | \(0.109796\pi\) |
−0.645948 | + | 0.763382i | \(0.723538\pi\) | |||||||
\(644\) | −67.4376 | + | 4.22565i | −2.65741 | + | 0.166514i | ||||
\(645\) | 9.74537 | + | 5.96258i | 0.383723 | + | 0.234777i | ||||
\(646\) | 28.0292 | + | 48.5479i | 1.10279 | + | 1.91009i | ||||
\(647\) | 8.50021 | + | 8.50021i | 0.334178 | + | 0.334178i | 0.854171 | − | 0.519993i | \(-0.174065\pi\) |
−0.519993 | + | 0.854171i | \(0.674065\pi\) | |||||||
\(648\) | 55.9020 | + | 60.9472i | 2.19604 | + | 2.39423i | ||||
\(649\) | 20.1542 | 0.791120 | ||||||||
\(650\) | 11.1434 | + | 6.87790i | 0.437081 | + | 0.269773i | ||||
\(651\) | 22.2871 | − | 14.4554i | 0.873501 | − | 0.566551i | ||||
\(652\) | 4.06323 | + | 15.1642i | 0.159128 | + | 0.593875i | ||||
\(653\) | 3.12038 | − | 0.836104i | 0.122110 | − | 0.0327193i | −0.197246 | − | 0.980354i | \(-0.563200\pi\) |
0.319357 | + | 0.947635i | \(0.396533\pi\) | |||||||
\(654\) | −12.8708 | − | 22.8588i | −0.503286 | − | 0.893849i | ||||
\(655\) | 47.5164 | + | 0.698157i | 1.85662 | + | 0.0272793i | ||||
\(656\) | − | 51.8355i | − | 2.02384i | ||||||
\(657\) | −8.07785 | − | 8.43416i | −0.315147 | − | 0.329048i | ||||
\(658\) | −8.95235 | + | 44.3407i | −0.348999 | + | 1.72858i | ||||
\(659\) | 39.3257 | − | 22.7047i | 1.53191 | − | 0.884450i | 0.532638 | − | 0.846343i | \(-0.321201\pi\) |
0.999274 | − | 0.0381066i | \(-0.0121326\pi\) | |||||||
\(660\) | −36.9464 | − | 10.9159i | −1.43814 | − | 0.424900i | ||||
\(661\) | 26.5745 | + | 15.3428i | 1.03363 | + | 0.596766i | 0.918022 | − | 0.396529i | \(-0.129785\pi\) |
0.115607 | + | 0.993295i | \(0.463119\pi\) | |||||||
\(662\) | 23.3471 | + | 87.1326i | 0.907411 | + | 3.38650i | ||||
\(663\) | 1.86092 | + | 7.25733i | 0.0722723 | + | 0.281851i | ||||
\(664\) | −0.728723 | − | 1.26218i | −0.0282799 | − | 0.0489823i | ||||
\(665\) | −18.2915 | + | 20.1329i | −0.709313 | + | 0.780720i | ||||
\(666\) | 24.8383 | + | 45.2484i | 0.962466 | + | 1.75334i | ||||
\(667\) | −2.22976 | + | 2.22976i | −0.0863365 | + | 0.0863365i | ||||
\(668\) | 81.9808 | + | 21.9667i | 3.17193 | + | 0.849917i | ||||
\(669\) | −29.7466 | + | 16.7490i | −1.15007 | + | 0.647554i | ||||
\(670\) | −1.34470 | − | 2.41018i | −0.0519502 | − | 0.0931134i | ||||
\(671\) | −1.96738 | − | 1.13586i | −0.0759497 | − | 0.0438496i | ||||
\(672\) | 90.5800 | + | 19.3072i | 3.49420 | + | 0.744793i | ||||
\(673\) | 6.20707 | − | 23.1651i | 0.239265 | − | 0.892948i | −0.736915 | − | 0.675985i | \(-0.763718\pi\) |
0.976180 | − | 0.216963i | \(-0.0696151\pi\) | |||||||
\(674\) | 16.9997i | 0.654805i | ||||||||
\(675\) | −25.4626 | + | 5.16292i | −0.980056 | + | 0.198721i | ||||
\(676\) | 64.9661 | 2.49870 | ||||||||
\(677\) | 4.62252 | − | 17.2515i | 0.177658 | − | 0.663028i | −0.818426 | − | 0.574612i | \(-0.805153\pi\) |
0.996084 | − | 0.0884161i | \(-0.0281805\pi\) | |||||||
\(678\) | −32.8293 | + | 32.1285i | −1.26080 | + | 1.23389i | ||||
\(679\) | −0.737429 | − | 11.7687i | −0.0282999 | − | 0.451641i | ||||
\(680\) | 44.9242 | + | 80.5202i | 1.72276 | + | 3.08781i | ||||
\(681\) | 20.2364 | + | 35.9404i | 0.775461 | + | 1.37724i | ||||
\(682\) | 7.53403 | − | 28.1174i | 0.288493 | − | 1.07667i | ||||
\(683\) | 3.78937 | + | 3.78937i | 0.144996 | + | 0.144996i | 0.775879 | − | 0.630882i | \(-0.217307\pi\) |
−0.630882 | + | 0.775879i | \(0.717307\pi\) | |||||||
\(684\) | 38.4974 | − | 63.4763i | 1.47199 | − | 2.42708i | ||||
\(685\) | −5.85066 | + | 1.47591i | −0.223542 | + | 0.0563914i | ||||
\(686\) | 38.1166 | − | 32.8508i | 1.45530 | − | 1.25425i | ||||
\(687\) | −9.33924 | − | 36.4217i | −0.356314 | − | 1.38957i | ||||
\(688\) | −40.4680 | + | 10.8434i | −1.54283 | + | 0.413399i | ||||
\(689\) | 4.69107 | − | 8.12518i | 0.178716 | − | 0.309545i | ||||
\(690\) | −14.1482 | + | 47.8868i | −0.538615 | + | 1.82302i | ||||
\(691\) | 21.7524 | − | 12.5587i | 0.827500 | − | 0.477757i | −0.0254960 | − | 0.999675i | \(-0.508116\pi\) |
0.852996 | + | 0.521918i | \(0.174783\pi\) | |||||||
\(692\) | 23.5714 | + | 23.5714i | 0.896052 | + | 0.896052i | ||||
\(693\) | 9.93908 | − | 10.7895i | 0.377555 | − | 0.409859i | ||||
\(694\) | 24.7097i | 0.937968i | ||||||||
\(695\) | −0.493052 | + | 33.5570i | −0.0187025 | + | 1.27289i | ||||
\(696\) | 9.21623 | − | 5.18925i | 0.349340 | − | 0.196698i | ||||
\(697\) | 4.23888 | + | 15.8197i | 0.160559 | + | 0.599215i | ||||
\(698\) | 21.3137 | + | 79.5437i | 0.806734 | + | 3.01077i | ||||
\(699\) | 37.5240 | + | 0.404811i | 1.41929 | + | 0.0153114i | ||||
\(700\) | −48.6461 | + | 51.9878i | −1.83865 | + | 1.96496i | ||||
\(701\) | −4.01390 | −0.151603 | −0.0758014 | − | 0.997123i | \(-0.524151\pi\) | ||||
−0.0758014 | + | 0.997123i | \(0.524151\pi\) | |||||||
\(702\) | 9.92921 | − | 9.30647i | 0.374754 | − | 0.351250i | ||||
\(703\) | 20.5886 | − | 20.5886i | 0.776514 | − | 0.776514i | ||||
\(704\) | 42.4251 | − | 24.4941i | 1.59896 | − | 0.923158i | ||||
\(705\) | 20.7892 | + | 12.7196i | 0.782967 | + | 0.479049i | ||||
\(706\) | −27.5950 | − | 15.9320i | −1.03855 | − | 0.599608i | ||||
\(707\) | −12.3252 | + | 13.9730i | −0.463536 | + | 0.525510i | ||||
\(708\) | −27.3677 | + | 97.9009i | −1.02854 | + | 3.67934i | ||||
\(709\) | 13.5214 | − | 7.80657i | 0.507806 | − | 0.293182i | −0.224125 | − | 0.974560i | \(-0.571952\pi\) |
0.731931 | + | 0.681378i | \(0.238619\pi\) | |||||||
\(710\) | −4.95534 | + | 1.25005i | −0.185971 | + | 0.0469135i | ||||
\(711\) | −18.4213 | − | 33.5583i | −0.690852 | − | 1.25854i | ||||
\(712\) | 68.6985 | + | 68.6985i | 2.57458 | + | 2.57458i | ||||
\(713\) | −26.5699 | − | 7.11939i | −0.995051 | − | 0.266623i | ||||
\(714\) | −55.7971 | + | 2.89236i | −2.08815 | + | 0.108244i | ||||
\(715\) | −1.08747 | + | 3.83237i | −0.0406691 | + | 0.143322i | ||||
\(716\) | 57.9346 | − | 100.346i | 2.16512 | − | 3.75009i | ||||
\(717\) | 17.6594 | − | 4.52822i | 0.659502 | − | 0.169110i | ||||
\(718\) | −11.6954 | + | 43.6478i | −0.436468 | + | 1.62892i | ||||
\(719\) | −5.56765 | −0.207638 | −0.103819 | − | 0.994596i | \(-0.533106\pi\) | ||||
−0.103819 | + | 0.994596i | \(0.533106\pi\) | |||||||
\(720\) | 50.5973 | − | 80.7280i | 1.88565 | − | 3.00856i | ||||
\(721\) | −27.6497 | − | 41.6390i | −1.02973 | − | 1.55072i | ||||
\(722\) | −5.61712 | − | 1.50510i | −0.209048 | − | 0.0560142i | ||||
\(723\) | −8.35721 | + | 29.8957i | −0.310808 | + | 1.11183i | ||||
\(724\) | 5.45699 | − | 9.45179i | 0.202808 | − | 0.351273i | ||||
\(725\) | −0.0976189 | + | 3.32124i | −0.00362548 | + | 0.123348i | ||||
\(726\) | −0.385012 | + | 35.6888i | −0.0142891 | + | 1.32453i | ||||
\(727\) | 6.77214 | − | 25.2740i | 0.251165 | − | 0.937360i | −0.719019 | − | 0.694990i | \(-0.755409\pi\) |
0.970184 | − | 0.242370i | \(-0.0779247\pi\) | |||||||
\(728\) | 4.63798 | − | 22.9718i | 0.171895 | − | 0.851391i | ||||
\(729\) | −1.74637 | + | 26.9435i | −0.0646806 | + | 0.997906i | ||||
\(730\) | −12.1248 | + | 20.3059i | −0.448761 | + | 0.751556i | ||||
\(731\) | 11.4637 | − | 6.61859i | 0.424002 | − | 0.244797i | ||||
\(732\) | 8.18912 | − | 8.01432i | 0.302679 | − | 0.296218i | ||||
\(733\) | −2.62706 | − | 9.80432i | −0.0970327 | − | 0.362131i | 0.900287 | − | 0.435297i | \(-0.143356\pi\) |
−0.997320 | + | 0.0731657i | \(0.976690\pi\) | |||||||
\(734\) | −14.3891 | + | 24.9226i | −0.531110 | + | 0.919909i | ||||
\(735\) | −9.58792 | − | 25.3589i | −0.353656 | − | 0.935376i | ||||
\(736\) | −47.9507 | − | 83.0530i | −1.76749 | − | 3.06138i | ||||
\(737\) | 0.593687 | − | 0.593687i | 0.0218687 | − | 0.0218687i | ||||
\(738\) | 21.4846 | − | 20.5769i | 0.790857 | − | 0.757447i | ||||
\(739\) | − | 1.54566i | − | 0.0568579i | −0.999596 | − | 0.0284289i | \(-0.990950\pi\) | ||
0.999596 | − | 0.0284289i | \(-0.00905043\pi\) | |||||||
\(740\) | 54.6756 | − | 53.0922i | 2.00992 | − | 1.95171i | ||||
\(741\) | −6.60629 | − | 3.90976i | −0.242688 | − | 0.143629i | ||||
\(742\) | 52.4711 | + | 46.2831i | 1.92627 | + | 1.69911i | ||||
\(743\) | 51.2472 | − | 13.7316i | 1.88008 | − | 0.503765i | 0.880520 | − | 0.474009i | \(-0.157194\pi\) |
0.999557 | − | 0.0297559i | \(-0.00947298\pi\) | |||||||
\(744\) | 79.3994 | + | 46.9905i | 2.91092 | + | 1.72276i | ||||
\(745\) | 8.17669 | + | 0.120140i | 0.299571 | + | 0.00440158i | ||||
\(746\) | −85.9671 | −3.14748 | ||||||||
\(747\) | 0.133037 | − | 0.456841i | 0.00486759 | − | 0.0167150i | ||||
\(748\) | −31.5631 | + | 31.5631i | −1.15406 | + | 1.15406i | ||||
\(749\) | 2.53831 | − | 5.11015i | 0.0927480 | − | 0.186721i | ||||
\(750\) | 23.7690 | + | 46.9395i | 0.867922 | + | 1.71399i | ||||
\(751\) | 15.9634 | − | 27.6494i | 0.582513 | − | 1.00894i | −0.412668 | − | 0.910882i | \(-0.635403\pi\) |
0.995180 | − | 0.0980603i | \(-0.0312638\pi\) | |||||||
\(752\) | −86.3280 | + | 23.1315i | −3.14806 | + | 0.843519i | ||||
\(753\) | −7.91652 | − | 8.08919i | −0.288494 | − | 0.294787i | ||||
\(754\) | −0.870215 | − | 1.50726i | −0.0316914 | − | 0.0548910i | ||||
\(755\) | 16.3287 | + | 9.75002i | 0.594263 | + | 0.354839i | ||||
\(756\) | 38.9146 | + | 62.9314i | 1.41531 | + | 2.28879i | ||||
\(757\) | 26.0899 | − | 26.0899i | 0.948255 | − | 0.948255i | −0.0504705 | − | 0.998726i | \(-0.516072\pi\) |
0.998726 | + | 0.0504705i | \(0.0160721\pi\) | |||||||
\(758\) | 22.6999 | − | 84.7172i | 0.824497 | − | 3.07707i | ||||
\(759\) | −15.1893 | − | 0.163863i | −0.551338 | − | 0.00594786i | ||||
\(760\) | −90.8860 | − | 25.7898i | −3.29678 | − | 0.935493i | ||||
\(761\) | −25.9576 | − | 14.9866i | −0.940963 | − | 0.543265i | −0.0507010 | − | 0.998714i | \(-0.516146\pi\) |
−0.890262 | + | 0.455449i | \(0.849479\pi\) | |||||||
\(762\) | 1.26282 | − | 4.51739i | 0.0457470 | − | 0.163648i | ||||
\(763\) | −4.70065 | − | 13.9794i | −0.170175 | − | 0.506089i | ||||
\(764\) | 103.555i | 3.74650i | ||||||||
\(765\) | −8.84025 | + | 28.7751i | −0.319620 | + | 1.04037i | ||||
\(766\) | 10.0287i | 0.362350i | ||||||||
\(767\) | 10.1533 | + | 2.72057i | 0.366615 | + | 0.0982342i | ||||
\(768\) | 14.1259 | + | 55.0890i | 0.509725 | + | 1.98785i | ||||
\(769\) | −0.240526 | + | 0.416604i | −0.00867360 | + | 0.0150231i | −0.870330 | − | 0.492470i | \(-0.836094\pi\) |
0.861656 | + | 0.507493i | \(0.169428\pi\) | |||||||
\(770\) | −26.4094 | − | 13.6054i | −0.951728 | − | 0.490305i | ||||
\(771\) | 5.22632 | − | 8.83086i | 0.188221 | − | 0.318036i | ||||
\(772\) | 17.8608 | + | 4.78578i | 0.642823 | + | 0.172244i | ||||
\(773\) | −18.9180 | + | 18.9180i | −0.680432 | + | 0.680432i | −0.960098 | − | 0.279665i | \(-0.909776\pi\) |
0.279665 | + | 0.960098i | \(0.409776\pi\) | |||||||
\(774\) | −20.5587 | − | 12.4685i | −0.738968 | − | 0.448173i | ||||
\(775\) | −25.5160 | + | 13.7484i | −0.916563 | + | 0.493858i | ||||
\(776\) | 35.4677 | − | 20.4773i | 1.27322 | − | 0.735092i | ||||
\(777\) | 8.95193 | + | 27.6047i | 0.321149 | + | 0.990311i | ||||
\(778\) | 9.80264 | − | 2.62661i | 0.351442 | − | 0.0941685i | ||||
\(779\) | −14.5327 | − | 8.39047i | −0.520688 | − | 0.300620i | ||||
\(780\) | −17.1394 | − | 10.4866i | −0.613690 | − | 0.375479i | ||||
\(781\) | −0.777348 | − | 1.34641i | −0.0278157 | − | 0.0481782i | ||||
\(782\) | 40.9094 | + | 40.9094i | 1.46292 | + | 1.46292i | ||||
\(783\) | 3.30471 | + | 1.00116i | 0.118101 | + | 0.0357787i | ||||
\(784\) | 91.6303 | + | 38.5725i | 3.27251 | + | 1.37759i | ||||
\(785\) | −15.5828 | + | 15.1315i | −0.556174 | + | 0.540067i | ||||
\(786\) | −100.007 | − | 1.07888i | −3.56713 | − | 0.0384824i | ||||
\(787\) | −45.8857 | + | 12.2950i | −1.63565 | + | 0.438270i | −0.955545 | − | 0.294846i | \(-0.904732\pi\) |
−0.680103 | + | 0.733117i | \(0.738065\pi\) | |||||||
\(788\) | 3.24261 | − | 0.868854i | 0.115513 | − | 0.0309517i | ||||
\(789\) | −1.88793 | − | 3.35300i | −0.0672119 | − | 0.119370i | ||||
\(790\) | −55.6185 | + | 54.0078i | −1.97882 | + | 1.92151i | ||||
\(791\) | −21.5138 | + | 14.2859i | −0.764944 | + | 0.507948i | ||||
\(792\) | 48.9179 | + | 14.2455i | 1.73822 | + | 0.506190i | ||||
\(793\) | −0.837802 | − | 0.837802i | −0.0297512 | − | 0.0297512i | ||||
\(794\) | −8.39992 | − | 14.5491i | −0.298102 | − | 0.516328i | ||||
\(795\) | 33.1156 | − | 18.0103i | 1.17449 | − | 0.638760i | ||||
\(796\) | 36.3927 | + | 21.0113i | 1.28991 | + | 0.744727i | ||||
\(797\) | −48.8495 | + | 13.0892i | −1.73034 | + | 0.463643i | −0.980261 | − | 0.197708i | \(-0.936650\pi\) |
−0.750077 | + | 0.661351i | \(0.769983\pi\) | |||||||
\(798\) | 38.3301 | − | 42.5212i | 1.35687 | − | 1.50523i | ||||
\(799\) | 24.4549 | − | 14.1190i | 0.865153 | − | 0.499496i | ||||
\(800\) | −96.7973 | − | 29.0103i | −3.42230 | − | 1.02567i | ||||
\(801\) | −0.684279 | + | 31.7110i | −0.0241778 | + | 1.12045i | ||||
\(802\) | 43.7978 | − | 43.7978i | 1.54655 | − | 1.54655i | ||||
\(803\) | −6.94957 | − | 1.86213i | −0.245245 | − | 0.0657132i | ||||
\(804\) | 2.07772 | + | 3.69008i | 0.0732754 | + | 0.130139i | ||||
\(805\) | −12.8566 | + | 24.9559i | −0.453136 | + | 0.879581i | ||||
\(806\) | 7.59103 | − | 13.1480i | 0.267383 | − | 0.463120i | ||||
\(807\) | −28.7960 | + | 28.1813i | −1.01367 | + | 0.992030i | ||||
\(808\) | −62.5071 | − | 16.7487i | −2.19899 | − | 0.589218i | ||||
\(809\) | 44.3393i | 1.55889i | 0.626473 | + | 0.779443i | \(0.284498\pi\) | ||||
−0.626473 | + | 0.779443i | \(0.715502\pi\) | |||||||
\(810\) | 53.5452 | − | 11.0749i | 1.88139 | − | 0.389133i | ||||
\(811\) | − | 15.9073i | − | 0.558582i | −0.960207 | − | 0.279291i | \(-0.909901\pi\) | ||
0.960207 | − | 0.279291i | \(-0.0900994\pi\) | |||||||
\(812\) | 8.96925 | − | 3.01596i | 0.314759 | − | 0.105839i | ||||
\(813\) | −8.49014 | − | 8.67532i | −0.297762 | − | 0.304257i | ||||
\(814\) | 27.5395 | + | 15.8999i | 0.965258 | + | 0.557292i | ||||
\(815\) | 6.27471 | + | 1.78051i | 0.219794 | + | 0.0623685i | ||||
\(816\) | −54.1597 | − | 96.1889i | −1.89597 | − | 3.36729i | ||||
\(817\) | −3.51037 | + | 13.1009i | −0.122812 | + | 0.458342i | ||||
\(818\) | 24.3631 | − | 24.3631i | 0.851836 | − | 0.851836i | ||||
\(819\) | 6.46359 | − | 4.09390i | 0.225856 | − | 0.143053i | ||||
\(820\) | −37.7119 | − | 22.5181i | −1.31696 | − | 0.786367i | ||||
\(821\) | 9.06589 | + | 15.7026i | 0.316402 | + | 0.548024i | 0.979734 | − | 0.200301i | \(-0.0641919\pi\) |
−0.663333 | + | 0.748325i | \(0.730859\pi\) | |||||||
\(822\) | 12.3009 | − | 3.15421i | 0.429045 | − | 0.110016i | ||||
\(823\) | −4.58956 | + | 1.22977i | −0.159982 | + | 0.0428670i | −0.337921 | − | 0.941174i | \(-0.609724\pi\) |
0.177939 | + | 0.984042i | \(0.443057\pi\) | |||||||
\(824\) | 86.7995 | − | 150.341i | 3.02380 | − | 5.23738i | ||||
\(825\) | −11.7633 | + | 10.8542i | −0.409545 | + | 0.377895i | ||||
\(826\) | −34.8722 | + | 70.2048i | −1.21336 | + | 2.44274i | ||||
\(827\) | −0.938044 | + | 0.938044i | −0.0326190 | + | 0.0326190i | −0.723228 | − | 0.690609i | \(-0.757343\pi\) |
0.690609 | + | 0.723228i | \(0.257343\pi\) | |||||||
\(828\) | 21.4219 | − | 73.5613i | 0.744463 | − | 2.55643i | ||||
\(829\) | −19.4893 | −0.676893 | −0.338446 | − | 0.940986i | \(-0.609901\pi\) | ||||
−0.338446 | + | 0.940986i | \(0.609901\pi\) | |||||||
\(830\) | −0.963490 | − | 0.0141565i | −0.0334432 | − | 0.000491380i | ||||
\(831\) | 15.8047 | − | 8.89893i | 0.548259 | − | 0.308700i | ||||
\(832\) | 24.6795 | − | 6.61284i | 0.855606 | − | 0.229259i | ||||
\(833\) | −31.1190 | − | 4.27885i | −1.07821 | − | 0.148253i | ||||
\(834\) | 0.761925 | − | 70.6268i | 0.0263833 | − | 2.44561i | ||||
\(835\) | 25.2974 | − | 24.5648i | 0.875454 | − | 0.850100i | ||||
\(836\) | − | 45.7357i | − | 1.58180i | ||||||
\(837\) | 6.85046 | + | 29.3320i | 0.236786 | + | 1.01386i | ||||
\(838\) | 47.7416 | − | 47.7416i | 1.64920 | − | 1.64920i | ||||
\(839\) | −20.6306 | − | 35.7333i | −0.712249 | − | 1.23365i | −0.964011 | − | 0.265862i | \(-0.914343\pi\) |
0.251762 | − | 0.967789i | \(-0.418990\pi\) | |||||||
\(840\) | 64.0659 | − | 69.0050i | 2.21049 | − | 2.38090i | ||||
\(841\) | −14.2792 | + | 24.7323i | −0.492386 | + | 0.852838i | ||||
\(842\) | −26.4753 | − | 98.8073i | −0.912400 | − | 3.40512i | ||||
\(843\) | −28.6167 | − | 7.99967i | −0.985612 | − | 0.275523i | ||||
\(844\) | −85.9536 | + | 49.6253i | −2.95864 | + | 1.70817i | ||||
\(845\) | 13.8375 | − | 23.1743i | 0.476026 | − | 0.797219i | ||||
\(846\) | −43.8567 | − | 26.5984i | −1.50782 | − | 0.914472i | ||||
\(847\) | −3.97113 | + | 19.6689i | −0.136450 | + | 0.675831i | ||||
\(848\) | −35.7781 | + | 133.526i | −1.22862 | + | 4.58529i | ||||
\(849\) | −7.57536 | − | 4.48328i | −0.259986 | − | 0.153866i | ||||
\(850\) | 60.9350 | + | 1.79102i | 2.09005 | + | 0.0614314i | ||||
\(851\) | 15.0249 | − | 26.0238i | 0.515045 | − | 0.892085i | ||||
\(852\) | 7.59588 | − | 1.94774i | 0.260231 | − | 0.0667283i | ||||
\(853\) | 23.1236 | + | 6.19595i | 0.791737 | + | 0.212145i | 0.631953 | − | 0.775007i | \(-0.282254\pi\) |
0.159784 | + | 0.987152i | \(0.448920\pi\) | |||||||
\(854\) | 7.36076 | − | 4.88779i | 0.251880 | − | 0.167257i | ||||
\(855\) | −14.4430 | − | 27.2528i | −0.493941 | − | 0.932025i | ||||
\(856\) | 19.8172 | 0.677340 | ||||||||
\(857\) | −7.72966 | + | 28.8475i | −0.264040 | + | 0.985411i | 0.698795 | + | 0.715322i | \(0.253720\pi\) |
−0.962835 | + | 0.270089i | \(0.912947\pi\) | |||||||
\(858\) | 2.25716 | − | 8.07439i | 0.0770581 | − | 0.275655i | ||||
\(859\) | 9.50953 | − | 16.4710i | 0.324461 | − | 0.561983i | −0.656942 | − | 0.753941i | \(-0.728150\pi\) |
0.981403 | + | 0.191958i | \(0.0614837\pi\) | |||||||
\(860\) | −9.69101 | + | 34.1522i | −0.330461 | + | 1.16458i | ||||
\(861\) | 14.0321 | − | 9.10118i | 0.478212 | − | 0.310167i | ||||
\(862\) | −53.2582 | − | 14.2705i | −1.81398 | − | 0.486055i | ||||
\(863\) | 29.0505 | + | 29.0505i | 0.988890 | + | 0.988890i | 0.999939 | − | 0.0110485i | \(-0.00351692\pi\) |
−0.0110485 | + | 0.999939i | \(0.503517\pi\) | |||||||
\(864\) | −55.4229 | + | 89.1993i | −1.88553 | + | 3.03462i | ||||
\(865\) | 13.4289 | − | 3.38761i | 0.456596 | − | 0.115182i | ||||
\(866\) | −45.0109 | + | 25.9871i | −1.52953 | + | 0.883077i | ||||
\(867\) | 3.80010 | + | 3.88298i | 0.129058 | + | 0.131873i | ||||
\(868\) | 61.9041 | + | 54.6037i | 2.10116 | + | 1.85337i | ||||
\(869\) | −20.4246 | − | 11.7921i | −0.692856 | − | 0.400020i | ||||
\(870\) | 0.178155 | − | 6.99056i | 0.00604002 | − | 0.237002i | ||||
\(871\) | 0.379230 | − | 0.218949i | 0.0128497 | − | 0.00741879i | ||||
\(872\) | 36.2209 | − | 36.2209i | 1.22659 | − | 1.22659i | ||||
\(873\) | 12.8374 | + | 3.73839i | 0.434479 | + | 0.126525i | ||||
\(874\) | −59.2788 | −2.00514 | ||||||||
\(875\) | 8.18330 | + | 28.4259i | 0.276646 | + | 0.960972i | ||||
\(876\) | 18.4825 | − | 31.2296i | 0.624465 | − | 1.05515i | ||||
\(877\) | 2.54092 | + | 9.48284i | 0.0858007 | + | 0.320213i | 0.995465 | − | 0.0951325i | \(-0.0303275\pi\) |
−0.909664 | + | 0.415345i | \(0.863661\pi\) | |||||||
\(878\) | 10.1558 | + | 37.9018i | 0.342741 | + | 1.27913i | ||||
\(879\) | −5.70220 | − | 3.37470i | −0.192330 | − | 0.113826i | ||||
\(880\) | 0.862312 | − | 58.6888i | 0.0290685 | − | 1.97840i | ||||
\(881\) | 20.3578i | 0.685872i | 0.939359 | + | 0.342936i | \(0.111421\pi\) | ||||
−0.939359 | + | 0.342936i | \(0.888579\pi\) | |||||||
\(882\) | 20.3867 | + | 53.2905i | 0.686457 | + | 1.79438i | ||||
\(883\) | −33.9789 | − | 33.9789i | −1.14348 | − | 1.14348i | −0.987809 | − | 0.155672i | \(-0.950246\pi\) |
−0.155672 | − | 0.987809i | \(-0.549754\pi\) | |||||||
\(884\) | −20.1616 | + | 11.6403i | −0.678107 | + | 0.391505i | ||||
\(885\) | 29.0933 | + | 30.6150i | 0.977961 | + | 1.02911i | ||||
\(886\) | 18.1034 | − | 31.3560i | 0.608195 | − | 1.05343i | ||||
\(887\) | −9.56274 | + | 2.56233i | −0.321086 | + | 0.0860346i | −0.415762 | − | 0.909473i | \(-0.636485\pi\) |
0.0946764 | + | 0.995508i | \(0.469818\pi\) | |||||||
\(888\) | −72.0342 | + | 70.4966i | −2.41731 | + | 2.36571i | ||||
\(889\) | 1.17314 | − | 2.36178i | 0.0393460 | − | 0.0792115i | ||||
\(890\) | 62.2827 | − | 15.7116i | 2.08772 | − | 0.526655i | ||||
\(891\) | 7.68777 | + | 14.7507i | 0.257550 | + | 0.494166i | ||||
\(892\) | −75.0084 | − | 75.0084i | −2.51147 | − | 2.51147i | ||||
\(893\) | −7.48846 | + | 27.9473i | −0.250592 | + | 0.935221i | ||||
\(894\) | −17.2093 | − | 0.185655i | −0.575566 | − | 0.00620923i | ||||
\(895\) | −23.4548 | − | 42.0393i | −0.784006 | − | 1.40522i | ||||
\(896\) | 5.22785 | + | 83.4317i | 0.174650 | + | 2.78726i | ||||
\(897\) | −7.63001 | − | 2.13293i | −0.254759 | − | 0.0712166i | ||||
\(898\) | −5.02462 | + | 18.7521i | −0.167674 | + | 0.625766i | ||||
\(899\) | 3.85221 | 0.128479 | ||||||||
\(900\) | −36.7519 | − | 71.8806i | −1.22506 | − | 2.39602i | ||||
\(901\) | − | 43.6766i | − | 1.45508i | ||||||
\(902\) | 4.74346 | − | 17.7028i | 0.157940 | − | 0.589440i | ||||
\(903\) | −10.0406 | − | 9.05098i | −0.334131 | − | 0.301198i | ||||
\(904\) | −77.6775 | − | 44.8471i | −2.58351 | − | 1.49159i | ||||
\(905\) | −2.20926 | − | 3.95978i | −0.0734382 | − | 0.131627i | ||||
\(906\) | −34.4449 | − | 20.3853i | −1.14436 | − | 0.677257i | ||||
\(907\) | −5.72684 | − | 1.53450i | −0.190156 | − | 0.0509523i | 0.162484 | − | 0.986711i | \(-0.448049\pi\) |
−0.352640 | + | 0.935759i | \(0.614716\pi\) | |||||||
\(908\) | −90.6264 | + | 90.6264i | −3.00754 | + | 3.00754i | ||||
\(909\) | −10.1662 | − | 18.5200i | −0.337193 | − | 0.614270i | ||||
\(910\) | −11.4680 | − | 10.4191i | −0.380161 | − | 0.345391i | ||||
\(911\) | 5.02116 | + | 8.69690i | 0.166358 | + | 0.288141i | 0.937137 | − | 0.348962i | \(-0.113466\pi\) |
−0.770778 | + | 0.637103i | \(0.780132\pi\) | |||||||
\(912\) | 108.929 | + | 30.4507i | 3.60701 | + | 1.00832i | ||||
\(913\) | −0.0758692 | − | 0.283148i | −0.00251090 | − | 0.00937082i | ||||
\(914\) | 98.5730 | + | 56.9112i | 3.26051 | + | 1.88245i | ||||
\(915\) | −1.11456 | − | 4.62819i | −0.0368462 | − | 0.153003i | ||||
\(916\) | 101.183 | − | 58.4180i | 3.34318 | − | 1.93019i | ||||
\(917\) | −55.1161 | − | 11.1279i | −1.82009 | − | 0.367476i | ||||
\(918\) | 18.3684 | − | 60.6316i | 0.606248 | − | 2.00114i | ||||
\(919\) | 12.9193i | 0.426168i | 0.977034 | + | 0.213084i | \(0.0683508\pi\) | ||||
−0.977034 | + | 0.213084i | \(0.931649\pi\) | |||||||
\(920\) | −97.4911 | − | 1.43243i | −3.21419 | − | 0.0472259i | ||||
\(921\) | −16.0869 | − | 0.173546i | −0.530081 | − | 0.00571854i | ||||
\(922\) | 1.76211 | − | 0.472155i | 0.0580318 | − | 0.0155496i | ||||
\(923\) | −0.209866 | − | 0.783229i | −0.00690781 | − | 0.0257803i | ||||
\(924\) | 40.6035 | + | 20.7176i | 1.33576 | + | 0.681561i | ||||
\(925\) | −7.29297 | − | 30.8120i | −0.239791 | − | 1.01309i | ||||
\(926\) | 43.3113 | 1.42330 | ||||||||
\(927\) | 55.0481 | − | 13.4843i | 1.80802 | − | 0.442881i | ||||
\(928\) | 9.49673 | + | 9.49673i | 0.311745 | + | 0.311745i | ||||
\(929\) | −15.1575 | − | 26.2535i | −0.497301 | − | 0.861350i | 0.502695 | − | 0.864464i | \(-0.332342\pi\) |
−0.999995 | + | 0.00311426i | \(0.999009\pi\) | |||||||
\(930\) | 53.5871 | − | 29.1440i | 1.75719 | − | 0.955671i | ||||
\(931\) | 25.6462 | − | 19.4460i | 0.840520 | − | 0.637318i | ||||
\(932\) | 30.1801 | + | 112.634i | 0.988581 | + | 3.68944i | ||||
\(933\) | −15.7299 | + | 4.03347i | −0.514975 | + | 0.132050i | ||||
\(934\) | 20.5025 | + | 35.5113i | 0.670861 | + | 1.16197i | ||||
\(935\) | 4.53614 | + | 17.9818i | 0.148348 | + | 0.588067i | ||||
\(936\) | 22.7210 | + | 13.7799i | 0.742660 | + | 0.450412i | ||||
\(937\) | 36.0958 | + | 36.0958i | 1.17920 | + | 1.17920i | 0.979949 | + | 0.199249i | \(0.0638504\pi\) |
0.199249 | + | 0.979949i | \(0.436150\pi\) | |||||||
\(938\) | 1.04080 | + | 3.09528i | 0.0339835 | + | 0.101065i | ||||
\(939\) | −3.49609 | + | 1.96849i | −0.114091 | + | 0.0642394i | ||||
\(940\) | −20.6733 | + | 72.8549i | −0.674287 | + | 2.37627i | ||||
\(941\) | 13.7585 | + | 7.94345i | 0.448513 | + | 0.258949i | 0.707202 | − | 0.707012i | \(-0.249957\pi\) |
−0.258689 | + | 0.965961i | \(0.583290\pi\) | |||||||
\(942\) | 32.6706 | − | 31.9732i | 1.06447 | − | 1.04174i | ||||
\(943\) | −16.7285 | − | 4.48240i | −0.544756 | − | 0.145967i | ||||
\(944\) | −154.875 | −5.04076 | ||||||||
\(945\) | 30.7371 | − | 0.477190i | 0.999880 | − | 0.0155230i | ||||
\(946\) | −14.8129 | −0.481608 | ||||||||
\(947\) | 1.35890 | + | 0.364115i | 0.0441582 | + | 0.0118322i | 0.280831 | − | 0.959757i | \(-0.409390\pi\) |
−0.236672 | + | 0.971590i | \(0.576057\pi\) | |||||||
\(948\) | 85.0164 | − | 83.2017i | 2.76120 | − | 2.70226i | ||||
\(949\) | −3.24971 | − | 1.87622i | −0.105490 | − | 0.0609047i | ||||
\(950\) | −45.4458 | + | 42.8505i | −1.47446 | + | 1.39026i | ||||
\(951\) | −7.43587 | + | 4.18681i | −0.241125 | + | 0.135767i | ||||
\(952\) | −34.7716 | − | 103.408i | −1.12695 | − | 3.35149i | ||||
\(953\) | −14.7841 | − | 14.7841i | −0.478903 | − | 0.478903i | 0.425878 | − | 0.904781i | \(-0.359965\pi\) |
−0.904781 | + | 0.425878i | \(0.859965\pi\) | |||||||
\(954\) | −69.5457 | + | 38.1759i | −2.25163 | + | 1.23599i | ||||
\(955\) | 36.9395 | + | 22.0569i | 1.19533 | + | 0.713745i | ||||
\(956\) | 28.3245 | + | 49.0596i | 0.916081 | + | 1.58670i | ||||
\(957\) | 2.06063 | − | 0.528387i | 0.0666108 | − | 0.0170803i | ||||
\(958\) | −21.0667 | − | 78.6221i | −0.680635 | − | 2.54017i | ||||
\(959\) | 7.12549 | − | 0.446485i | 0.230094 | − | 0.0144177i | ||||
\(960\) | 98.4499 | + | 29.0872i | 3.17746 | + | 0.938785i | ||||
\(961\) | 1.30175 | + | 2.25469i | 0.0419918 | + | 0.0727320i | ||||
\(962\) | 11.7276 | + | 11.7276i | 0.378113 | + | 0.378113i | ||||
\(963\) | 4.47509 | + | 4.67248i | 0.144208 | + | 0.150569i | ||||
\(964\) | −96.4577 | −3.10669 | ||||||||
\(965\) | 5.51143 | − | 5.35182i | 0.177419 | − | 0.172281i | ||||
\(966\) | 26.8525 | − | 52.6269i | 0.863965 | − | 1.69324i | ||||
\(967\) | 2.29603 | + | 8.56889i | 0.0738352 | + | 0.275557i | 0.992967 | − | 0.118394i | \(-0.0377746\pi\) |
−0.919131 | + | 0.393951i | \(0.871108\pi\) | |||||||
\(968\) | −67.3167 | + | 18.0375i | −2.16364 | + | 0.579746i | ||||
\(969\) | −35.7344 | − | 0.385504i | −1.14795 | − | 0.0123842i | ||||
\(970\) | 0.397802 | − | 27.0743i | 0.0127727 | − | 0.869304i | ||||
\(971\) | 0.877499i | 0.0281603i | 0.999901 | + | 0.0140801i | \(0.00448200\pi\) | ||||
−0.999901 | + | 0.0140801i | \(0.995518\pi\) | |||||||
\(972\) | −82.0923 | + | 17.3139i | −2.63311 | + | 0.555343i | ||||
\(973\) | 7.85873 | − | 38.9241i | 0.251939 | − | 1.24785i | ||||
\(974\) | 59.6732 | − | 34.4524i | 1.91205 | − | 1.10393i | ||||
\(975\) | −7.39133 | + | 3.88026i | −0.236712 | + | 0.124268i | ||||
\(976\) | 15.1184 | + | 8.72860i | 0.483927 | + | 0.279396i | ||||
\(977\) | 4.22411 | + | 15.7646i | 0.135141 | + | 0.504354i | 0.999997 | + | 0.00233386i | \(0.000742890\pi\) |
−0.864856 | + | 0.502020i | \(0.832590\pi\) | |||||||
\(978\) | −13.2201 | − | 3.69563i | −0.422734 | − | 0.118173i | ||||
\(979\) | 9.77033 | + | 16.9227i | 0.312261 | + | 0.540852i | ||||
\(980\) | 67.8683 | − | 49.9074i | 2.16797 | − | 1.59423i | ||||
\(981\) | 16.7194 | + | 0.360782i | 0.533810 | + | 0.0115189i | ||||
\(982\) | 77.7554 | − | 77.7554i | 2.48127 | − | 2.48127i | ||||
\(983\) | −20.7249 | − | 5.55322i | −0.661022 | − | 0.177120i | −0.0873149 | − | 0.996181i | \(-0.527829\pi\) |
−0.573707 | + | 0.819060i | \(0.694495\pi\) | |||||||
\(984\) | 49.9902 | + | 29.5854i | 1.59363 | + | 0.943150i | ||||
\(985\) | 0.380732 | − | 1.34174i | 0.0121311 | − | 0.0427515i | ||||
\(986\) | −7.01671 | − | 4.05110i | −0.223457 | − | 0.129013i | ||||
\(987\) | −21.4191 | − | 19.3079i | −0.681777 | − | 0.614578i | ||||
\(988\) | 6.17378 | − | 23.0408i | 0.196414 | − | 0.733027i | ||||
\(989\) | 13.9976i | 0.445099i | ||||||||
\(990\) | 24.6674 | − | 22.9400i | 0.783980 | − | 0.729082i | ||||
\(991\) | −24.5273 | −0.779134 | −0.389567 | − | 0.920998i | \(-0.627375\pi\) | ||||
−0.389567 | + | 0.920998i | \(0.627375\pi\) | |||||||
\(992\) | −30.3221 | + | 113.164i | −0.962727 | + | 3.59295i | ||||
\(993\) | −55.3821 | − | 15.4818i | −1.75750 | − | 0.491300i | ||||
\(994\) | 6.03508 | − | 0.378160i | 0.191421 | − | 0.0119945i | ||||
\(995\) | 15.2465 | − | 8.50642i | 0.483348 | − | 0.269672i | ||||
\(996\) | 1.47844 | + | 0.0159495i | 0.0468463 | + | 0.000505380i | ||||
\(997\) | −0.501151 | + | 1.87032i | −0.0158716 | + | 0.0592337i | −0.973407 | − | 0.229080i | \(-0.926428\pi\) |
0.957536 | + | 0.288314i | \(0.0930948\pi\) | |||||||
\(998\) | −28.5022 | − | 28.5022i | −0.902221 | − | 0.902221i | ||||
\(999\) | −32.8882 | − | 1.06473i | −1.04054 | − | 0.0336865i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 315.2.cb.a.13.2 | yes | 176 | |
3.2 | odd | 2 | 945.2.ce.a.118.43 | 176 | |||
5.2 | odd | 4 | inner | 315.2.cb.a.202.43 | yes | 176 | |
7.6 | odd | 2 | inner | 315.2.cb.a.13.1 | ✓ | 176 | |
9.2 | odd | 6 | 945.2.ce.a.748.2 | 176 | |||
9.7 | even | 3 | inner | 315.2.cb.a.223.44 | yes | 176 | |
15.2 | even | 4 | 945.2.ce.a.307.1 | 176 | |||
21.20 | even | 2 | 945.2.ce.a.118.44 | 176 | |||
35.27 | even | 4 | inner | 315.2.cb.a.202.44 | yes | 176 | |
45.2 | even | 12 | 945.2.ce.a.937.44 | 176 | |||
45.7 | odd | 12 | inner | 315.2.cb.a.97.1 | yes | 176 | |
63.20 | even | 6 | 945.2.ce.a.748.1 | 176 | |||
63.34 | odd | 6 | inner | 315.2.cb.a.223.43 | yes | 176 | |
105.62 | odd | 4 | 945.2.ce.a.307.2 | 176 | |||
315.97 | even | 12 | inner | 315.2.cb.a.97.2 | yes | 176 | |
315.272 | odd | 12 | 945.2.ce.a.937.43 | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.cb.a.13.1 | ✓ | 176 | 7.6 | odd | 2 | inner | |
315.2.cb.a.13.2 | yes | 176 | 1.1 | even | 1 | trivial | |
315.2.cb.a.97.1 | yes | 176 | 45.7 | odd | 12 | inner | |
315.2.cb.a.97.2 | yes | 176 | 315.97 | even | 12 | inner | |
315.2.cb.a.202.43 | yes | 176 | 5.2 | odd | 4 | inner | |
315.2.cb.a.202.44 | yes | 176 | 35.27 | even | 4 | inner | |
315.2.cb.a.223.43 | yes | 176 | 63.34 | odd | 6 | inner | |
315.2.cb.a.223.44 | yes | 176 | 9.7 | even | 3 | inner | |
945.2.ce.a.118.43 | 176 | 3.2 | odd | 2 | |||
945.2.ce.a.118.44 | 176 | 21.20 | even | 2 | |||
945.2.ce.a.307.1 | 176 | 15.2 | even | 4 | |||
945.2.ce.a.307.2 | 176 | 105.62 | odd | 4 | |||
945.2.ce.a.748.1 | 176 | 63.20 | even | 6 | |||
945.2.ce.a.748.2 | 176 | 9.2 | odd | 6 | |||
945.2.ce.a.937.43 | 176 | 315.272 | odd | 12 | |||
945.2.ce.a.937.44 | 176 | 45.2 | even | 12 |