Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [630,2,Mod(121,630)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(630, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("630.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 630 = 2 \cdot 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 630.i (of order \(3\), degree \(2\), 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: | \(5.03057532734\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 12.0.91830304992969.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 2x^{11} + x^{10} + 4x^{9} - 7x^{8} + x^{7} + 7x^{6} + 2x^{5} - 28x^{4} + 32x^{3} + 16x^{2} - 64x + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 3^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 151.3 | ||
Root | \(1.04029 - 0.958022i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 630.151 |
Dual form | 630.2.i.f.121.3 |
$q$-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 \(\left(\mathbb{Z}/630\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(281\) | \(451\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00000 | −0.707107 | ||||||||
\(3\) | −0.433986 | − | 1.67680i | −0.250562 | − | 0.968101i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | 0.433986 | + | 1.67680i | 0.177174 | + | 0.684551i | ||||
\(7\) | 1.23855 | + | 2.33795i | 0.468128 | + | 0.883661i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −2.62331 | + | 1.45541i | −0.874438 | + | 0.485138i | ||||
\(10\) | 0.500000 | − | 0.866025i | 0.158114 | − | 0.273861i | ||||
\(11\) | −2.00721 | − | 3.47659i | −0.605197 | − | 1.04823i | −0.992020 | − | 0.126078i | \(-0.959761\pi\) |
0.386823 | − | 0.922154i | \(-0.373572\pi\) | |||||||
\(12\) | −0.433986 | − | 1.67680i | −0.125281 | − | 0.484050i | ||||
\(13\) | −0.0260834 | − | 0.0451777i | −0.00723422 | − | 0.0125300i | 0.862386 | − | 0.506252i | \(-0.168969\pi\) |
−0.869620 | + | 0.493722i | \(0.835636\pi\) | |||||||
\(14\) | −1.23855 | − | 2.33795i | −0.331016 | − | 0.624843i | ||||
\(15\) | 1.66914 | + | 0.462557i | 0.430971 | + | 0.119432i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.62512 | − | 6.27890i | 0.879222 | − | 1.52286i | 0.0270255 | − | 0.999635i | \(-0.491396\pi\) |
0.852196 | − | 0.523222i | \(-0.175270\pi\) | |||||||
\(18\) | 2.62331 | − | 1.45541i | 0.618321 | − | 0.343044i | ||||
\(19\) | −0.0260834 | − | 0.0451777i | −0.00598393 | − | 0.0103645i | 0.863018 | − | 0.505173i | \(-0.168571\pi\) |
−0.869002 | + | 0.494809i | \(0.835238\pi\) | |||||||
\(20\) | −0.500000 | + | 0.866025i | −0.111803 | + | 0.193649i | ||||
\(21\) | 3.38275 | − | 3.09144i | 0.738178 | − | 0.674606i | ||||
\(22\) | 2.00721 | + | 3.47659i | 0.427939 | + | 0.741212i | ||||
\(23\) | 2.65121 | − | 4.59203i | 0.552815 | − | 0.957504i | −0.445255 | − | 0.895404i | \(-0.646887\pi\) |
0.998070 | − | 0.0620999i | \(-0.0197797\pi\) | |||||||
\(24\) | 0.433986 | + | 1.67680i | 0.0885870 | + | 0.342275i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0.0260834 | + | 0.0451777i | 0.00511537 | + | 0.00886008i | ||||
\(27\) | 3.57892 | + | 3.76714i | 0.688763 | + | 0.724987i | ||||
\(28\) | 1.23855 | + | 2.33795i | 0.234064 | + | 0.441830i | ||||
\(29\) | −0.446313 | + | 0.773036i | −0.0828782 | + | 0.143549i | −0.904485 | − | 0.426505i | \(-0.859745\pi\) |
0.821607 | + | 0.570054i | \(0.193078\pi\) | |||||||
\(30\) | −1.66914 | − | 0.462557i | −0.304743 | − | 0.0844510i | ||||
\(31\) | −0.776310 | −0.139429 | −0.0697147 | − | 0.997567i | \(-0.522209\pi\) | ||||
−0.0697147 | + | 0.997567i | \(0.522209\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | −4.95845 | + | 4.87448i | −0.863155 | + | 0.848539i | ||||
\(34\) | −3.62512 | + | 6.27890i | −0.621704 | + | 1.07682i | ||||
\(35\) | −2.64400 | − | 0.0963576i | −0.446917 | − | 0.0162874i | ||||
\(36\) | −2.62331 | + | 1.45541i | −0.437219 | + | 0.242569i | ||||
\(37\) | −3.30724 | − | 5.72831i | −0.543707 | − | 0.941728i | −0.998687 | − | 0.0512264i | \(-0.983687\pi\) |
0.454980 | − | 0.890502i | \(-0.349646\pi\) | |||||||
\(38\) | 0.0260834 | + | 0.0451777i | 0.00423128 | + | 0.00732879i | ||||
\(39\) | −0.0644341 | + | 0.0633430i | −0.0103177 | + | 0.0101430i | ||||
\(40\) | 0.500000 | − | 0.866025i | 0.0790569 | − | 0.136931i | ||||
\(41\) | −6.15690 | − | 10.6641i | −0.961546 | − | 1.66545i | −0.718621 | − | 0.695402i | \(-0.755227\pi\) |
−0.242925 | − | 0.970045i | \(-0.578107\pi\) | |||||||
\(42\) | −3.38275 | + | 3.09144i | −0.521970 | + | 0.477019i | ||||
\(43\) | 6.24713 | − | 10.8203i | 0.952678 | − | 1.65009i | 0.213083 | − | 0.977034i | \(-0.431650\pi\) |
0.739595 | − | 0.673052i | \(-0.235017\pi\) | |||||||
\(44\) | −2.00721 | − | 3.47659i | −0.302599 | − | 0.524116i | ||||
\(45\) | 0.0512311 | − | 2.99956i | 0.00763707 | − | 0.447148i | ||||
\(46\) | −2.65121 | + | 4.59203i | −0.390899 | + | 0.677057i | ||||
\(47\) | 8.49425 | 1.23901 | 0.619507 | − | 0.784991i | \(-0.287333\pi\) | ||||
0.619507 | + | 0.784991i | \(0.287333\pi\) | |||||||
\(48\) | −0.433986 | − | 1.67680i | −0.0626404 | − | 0.242025i | ||||
\(49\) | −3.93199 | + | 5.79133i | −0.561713 | + | 0.827332i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | −12.1017 | − | 3.35365i | −1.69458 | − | 0.469606i | ||||
\(52\) | −0.0260834 | − | 0.0451777i | −0.00361711 | − | 0.00626502i | ||||
\(53\) | −3.85257 | + | 6.67285i | −0.529191 | + | 0.916586i | 0.470229 | + | 0.882544i | \(0.344171\pi\) |
−0.999420 | + | 0.0340419i | \(0.989162\pi\) | |||||||
\(54\) | −3.57892 | − | 3.76714i | −0.487029 | − | 0.512643i | ||||
\(55\) | 4.01442 | 0.541305 | ||||||||
\(56\) | −1.23855 | − | 2.33795i | −0.165508 | − | 0.312421i | ||||
\(57\) | −0.0644341 | + | 0.0633430i | −0.00853451 | + | 0.00838999i | ||||
\(58\) | 0.446313 | − | 0.773036i | 0.0586037 | − | 0.101505i | ||||
\(59\) | −11.7196 | −1.52576 | −0.762879 | − | 0.646542i | \(-0.776215\pi\) | ||||
−0.762879 | + | 0.646542i | \(0.776215\pi\) | |||||||
\(60\) | 1.66914 | + | 0.462557i | 0.215486 | + | 0.0597159i | ||||
\(61\) | −6.00985 | −0.769482 | −0.384741 | − | 0.923025i | \(-0.625709\pi\) | ||||
−0.384741 | + | 0.923025i | \(0.625709\pi\) | |||||||
\(62\) | 0.776310 | 0.0985914 | ||||||||
\(63\) | −6.65178 | − | 4.33056i | −0.838046 | − | 0.545600i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 0.0521667 | 0.00647048 | ||||||||
\(66\) | 4.95845 | − | 4.87448i | 0.610343 | − | 0.600007i | ||||
\(67\) | 7.03474 | 0.859430 | 0.429715 | − | 0.902965i | \(-0.358614\pi\) | ||||
0.429715 | + | 0.902965i | \(0.358614\pi\) | |||||||
\(68\) | 3.62512 | − | 6.27890i | 0.439611 | − | 0.761428i | ||||
\(69\) | −8.85049 | − | 2.45267i | −1.06547 | − | 0.295267i | ||||
\(70\) | 2.64400 | + | 0.0963576i | 0.316018 | + | 0.0115169i | ||||
\(71\) | 2.59733 | 0.308246 | 0.154123 | − | 0.988052i | \(-0.450745\pi\) | ||||
0.154123 | + | 0.988052i | \(0.450745\pi\) | |||||||
\(72\) | 2.62331 | − | 1.45541i | 0.309160 | − | 0.171522i | ||||
\(73\) | −0.00136380 | + | 0.00236218i | −0.000159621 | + | 0.000276472i | −0.866105 | − | 0.499862i | \(-0.833384\pi\) |
0.865946 | + | 0.500138i | \(0.166717\pi\) | |||||||
\(74\) | 3.30724 | + | 5.72831i | 0.384459 | + | 0.665902i | ||||
\(75\) | −1.23516 | + | 1.21424i | −0.142624 | + | 0.140209i | ||||
\(76\) | −0.0260834 | − | 0.0451777i | −0.00299197 | − | 0.00518224i | ||||
\(77\) | 5.64206 | − | 8.99869i | 0.642972 | − | 1.02550i | ||||
\(78\) | 0.0644341 | − | 0.0633430i | 0.00729573 | − | 0.00717219i | ||||
\(79\) | 8.10742 | 0.912156 | 0.456078 | − | 0.889940i | \(-0.349254\pi\) | ||||
0.456078 | + | 0.889940i | \(0.349254\pi\) | |||||||
\(80\) | −0.500000 | + | 0.866025i | −0.0559017 | + | 0.0968246i | ||||
\(81\) | 4.76354 | − | 7.63601i | 0.529282 | − | 0.848446i | ||||
\(82\) | 6.15690 | + | 10.6641i | 0.679916 | + | 1.17765i | ||||
\(83\) | −0.719302 | + | 1.24587i | −0.0789537 | + | 0.136752i | −0.902799 | − | 0.430063i | \(-0.858491\pi\) |
0.823845 | + | 0.566815i | \(0.191825\pi\) | |||||||
\(84\) | 3.38275 | − | 3.09144i | 0.369089 | − | 0.337303i | ||||
\(85\) | 3.62512 | + | 6.27890i | 0.393200 | + | 0.681042i | ||||
\(86\) | −6.24713 | + | 10.8203i | −0.673645 | + | 1.16679i | ||||
\(87\) | 1.48992 | + | 0.412890i | 0.159736 | + | 0.0442665i | ||||
\(88\) | 2.00721 | + | 3.47659i | 0.213969 | + | 0.370606i | ||||
\(89\) | −0.125893 | − | 0.218052i | −0.0133446 | − | 0.0231135i | 0.859276 | − | 0.511512i | \(-0.170915\pi\) |
−0.872621 | + | 0.488399i | \(0.837581\pi\) | |||||||
\(90\) | −0.0512311 | + | 2.99956i | −0.00540023 | + | 0.316182i | ||||
\(91\) | 0.0733175 | − | 0.116936i | 0.00768576 | − | 0.0122583i | ||||
\(92\) | 2.65121 | − | 4.59203i | 0.276408 | − | 0.478752i | ||||
\(93\) | 0.336907 | + | 1.30172i | 0.0349357 | + | 0.134982i | ||||
\(94\) | −8.49425 | −0.876115 | ||||||||
\(95\) | 0.0521667 | 0.00535219 | ||||||||
\(96\) | 0.433986 | + | 1.67680i | 0.0442935 | + | 0.171138i | ||||
\(97\) | 0.0494422 | − | 0.0856364i | 0.00502010 | − | 0.00869506i | −0.863504 | − | 0.504341i | \(-0.831735\pi\) |
0.868525 | + | 0.495646i | \(0.165069\pi\) | |||||||
\(98\) | 3.93199 | − | 5.79133i | 0.397191 | − | 0.585012i | ||||
\(99\) | 10.3254 | + | 6.19887i | 1.03774 | + | 0.623010i | ||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | 1.86012 | + | 3.22181i | 0.185088 | + | 0.320582i | 0.943606 | − | 0.331070i | \(-0.107410\pi\) |
−0.758518 | + | 0.651652i | \(0.774076\pi\) | |||||||
\(102\) | 12.1017 | + | 3.35365i | 1.19825 | + | 0.332061i | ||||
\(103\) | −3.32906 | + | 5.76609i | −0.328022 | + | 0.568150i | −0.982119 | − | 0.188260i | \(-0.939715\pi\) |
0.654098 | + | 0.756410i | \(0.273049\pi\) | |||||||
\(104\) | 0.0260834 | + | 0.0451777i | 0.00255768 | + | 0.00443004i | ||||
\(105\) | 0.985884 | + | 4.47527i | 0.0962124 | + | 0.436742i | ||||
\(106\) | 3.85257 | − | 6.67285i | 0.374195 | − | 0.648124i | ||||
\(107\) | −2.19941 | − | 3.80948i | −0.212625 | − | 0.368277i | 0.739910 | − | 0.672705i | \(-0.234868\pi\) |
−0.952535 | + | 0.304429i | \(0.901534\pi\) | |||||||
\(108\) | 3.57892 | + | 3.76714i | 0.344381 | + | 0.362493i | ||||
\(109\) | 6.29094 | − | 10.8962i | 0.602562 | − | 1.04367i | −0.389869 | − | 0.920870i | \(-0.627480\pi\) |
0.992432 | − | 0.122798i | \(-0.0391869\pi\) | |||||||
\(110\) | −4.01442 | −0.382760 | ||||||||
\(111\) | −8.16993 | + | 8.03158i | −0.775455 | + | 0.762324i | ||||
\(112\) | 1.23855 | + | 2.33795i | 0.117032 | + | 0.220915i | ||||
\(113\) | −7.70375 | − | 13.3433i | −0.724708 | − | 1.25523i | −0.959094 | − | 0.283087i | \(-0.908641\pi\) |
0.234386 | − | 0.972144i | \(-0.424692\pi\) | |||||||
\(114\) | 0.0644341 | − | 0.0633430i | 0.00603481 | − | 0.00593262i | ||||
\(115\) | 2.65121 | + | 4.59203i | 0.247226 | + | 0.428209i | ||||
\(116\) | −0.446313 | + | 0.773036i | −0.0414391 | + | 0.0717746i | ||||
\(117\) | 0.134177 | + | 0.0805532i | 0.0124047 | + | 0.00744714i | ||||
\(118\) | 11.7196 | 1.07887 | ||||||||
\(119\) | 19.1696 | + | 0.698616i | 1.75728 | + | 0.0640421i | ||||
\(120\) | −1.66914 | − | 0.462557i | −0.152371 | − | 0.0422255i | ||||
\(121\) | −2.55780 | + | 4.43024i | −0.232527 | + | 0.402749i | ||||
\(122\) | 6.00985 | 0.544106 | ||||||||
\(123\) | −15.2095 | + | 14.9519i | −1.37139 | + | 1.34817i | ||||
\(124\) | −0.776310 | −0.0697147 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 6.65178 | + | 4.33056i | 0.592588 | + | 0.385797i | ||||
\(127\) | 9.93721 | 0.881785 | 0.440892 | − | 0.897560i | \(-0.354662\pi\) | ||||
0.440892 | + | 0.897560i | \(0.354662\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −20.8547 | − | 5.77930i | −1.83615 | − | 0.508839i | ||||
\(130\) | −0.0521667 | −0.00457532 | ||||||||
\(131\) | −9.92774 | + | 17.1953i | −0.867390 | + | 1.50236i | −0.00273648 | + | 0.999996i | \(0.500871\pi\) |
−0.864654 | + | 0.502368i | \(0.832462\pi\) | |||||||
\(132\) | −4.95845 | + | 4.87448i | −0.431577 | + | 0.424269i | ||||
\(133\) | 0.0733175 | − | 0.116936i | 0.00635743 | − | 0.0101397i | ||||
\(134\) | −7.03474 | −0.607709 | ||||||||
\(135\) | −5.05190 | + | 1.21586i | −0.434798 | + | 0.104645i | ||||
\(136\) | −3.62512 | + | 6.27890i | −0.310852 | + | 0.538411i | ||||
\(137\) | 9.11260 | + | 15.7835i | 0.778542 | + | 1.34847i | 0.932782 | + | 0.360441i | \(0.117374\pi\) |
−0.154240 | + | 0.988033i | \(0.549293\pi\) | |||||||
\(138\) | 8.85049 | + | 2.45267i | 0.753404 | + | 0.208785i | ||||
\(139\) | −1.97097 | − | 3.41382i | −0.167176 | − | 0.289557i | 0.770250 | − | 0.637742i | \(-0.220131\pi\) |
−0.937426 | + | 0.348185i | \(0.886798\pi\) | |||||||
\(140\) | −2.64400 | − | 0.0963576i | −0.223458 | − | 0.00814370i | ||||
\(141\) | −3.68638 | − | 14.2432i | −0.310449 | − | 1.19949i | ||||
\(142\) | −2.59733 | −0.217963 | ||||||||
\(143\) | −0.104710 | + | 0.181362i | −0.00875626 | + | 0.0151663i | ||||
\(144\) | −2.62331 | + | 1.45541i | −0.218609 | + | 0.121284i | ||||
\(145\) | −0.446313 | − | 0.773036i | −0.0370643 | − | 0.0641972i | ||||
\(146\) | 0.00136380 | − | 0.00236218i | 0.000112869 | − | 0.000195495i | ||||
\(147\) | 11.4173 | + | 4.07980i | 0.941685 | + | 0.336496i | ||||
\(148\) | −3.30724 | − | 5.72831i | −0.271853 | − | 0.470864i | ||||
\(149\) | 6.56021 | − | 11.3626i | 0.537434 | − | 0.930862i | −0.461608 | − | 0.887084i | \(-0.652727\pi\) |
0.999041 | − | 0.0437781i | \(-0.0139395\pi\) | |||||||
\(150\) | 1.23516 | − | 1.21424i | 0.100850 | − | 0.0991425i | ||||
\(151\) | 10.4132 | + | 18.0362i | 0.847414 | + | 1.46776i | 0.883509 | + | 0.468415i | \(0.155175\pi\) |
−0.0360949 | + | 0.999348i | \(0.511492\pi\) | |||||||
\(152\) | 0.0260834 | + | 0.0451777i | 0.00211564 | + | 0.00366439i | ||||
\(153\) | −0.371438 | + | 21.7476i | −0.0300290 | + | 1.75819i | ||||
\(154\) | −5.64206 | + | 8.99869i | −0.454650 | + | 0.725135i | ||||
\(155\) | 0.388155 | − | 0.672304i | 0.0311773 | − | 0.0540007i | ||||
\(156\) | −0.0644341 | + | 0.0633430i | −0.00515886 | + | 0.00507150i | ||||
\(157\) | −5.80353 | −0.463172 | −0.231586 | − | 0.972814i | \(-0.574392\pi\) | ||||
−0.231586 | + | 0.972814i | \(0.574392\pi\) | |||||||
\(158\) | −8.10742 | −0.644992 | ||||||||
\(159\) | 12.8610 | + | 3.56407i | 1.01994 | + | 0.282649i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | 14.0196 | + | 0.510928i | 1.10490 | + | 0.0402668i | ||||
\(162\) | −4.76354 | + | 7.63601i | −0.374259 | + | 0.599942i | ||||
\(163\) | −2.37914 | − | 4.12080i | −0.186349 | − | 0.322766i | 0.757681 | − | 0.652625i | \(-0.226332\pi\) |
−0.944030 | + | 0.329859i | \(0.892999\pi\) | |||||||
\(164\) | −6.15690 | − | 10.6641i | −0.480773 | − | 0.832723i | ||||
\(165\) | −1.74220 | − | 6.73138i | −0.135630 | − | 0.524037i | ||||
\(166\) | 0.719302 | − | 1.24587i | 0.0558287 | − | 0.0966981i | ||||
\(167\) | 10.2392 | + | 17.7348i | 0.792334 | + | 1.37236i | 0.924518 | + | 0.381138i | \(0.124468\pi\) |
−0.132184 | + | 0.991225i | \(0.542199\pi\) | |||||||
\(168\) | −3.38275 | + | 3.09144i | −0.260985 | + | 0.238509i | ||||
\(169\) | 6.49864 | − | 11.2560i | 0.499895 | − | 0.865844i | ||||
\(170\) | −3.62512 | − | 6.27890i | −0.278034 | − | 0.481570i | ||||
\(171\) | 0.134177 | + | 0.0805532i | 0.0102608 | + | 0.00616005i | ||||
\(172\) | 6.24713 | − | 10.8203i | 0.476339 | − | 0.825043i | ||||
\(173\) | −15.6520 | −1.19000 | −0.594999 | − | 0.803726i | \(-0.702848\pi\) | ||||
−0.594999 | + | 0.803726i | \(0.702848\pi\) | |||||||
\(174\) | −1.48992 | − | 0.412890i | −0.112951 | − | 0.0313011i | ||||
\(175\) | 1.40545 | − | 2.24159i | 0.106242 | − | 0.169448i | ||||
\(176\) | −2.00721 | − | 3.47659i | −0.151299 | − | 0.262058i | ||||
\(177\) | 5.08612 | + | 19.6514i | 0.382296 | + | 1.47709i | ||||
\(178\) | 0.125893 | + | 0.218052i | 0.00943605 | + | 0.0163437i | ||||
\(179\) | −6.25434 | + | 10.8328i | −0.467471 | + | 0.809684i | −0.999309 | − | 0.0371623i | \(-0.988168\pi\) |
0.531838 | + | 0.846846i | \(0.321501\pi\) | |||||||
\(180\) | 0.0512311 | − | 2.99956i | 0.00381854 | − | 0.223574i | ||||
\(181\) | 7.33900 | 0.545504 | 0.272752 | − | 0.962084i | \(-0.412066\pi\) | ||||
0.272752 | + | 0.962084i | \(0.412066\pi\) | |||||||
\(182\) | −0.0733175 | + | 0.116936i | −0.00543465 | + | 0.00866790i | ||||
\(183\) | 2.60819 | + | 10.0773i | 0.192803 | + | 0.744936i | ||||
\(184\) | −2.65121 | + | 4.59203i | −0.195450 | + | 0.338529i | ||||
\(185\) | 6.61448 | 0.486306 | ||||||||
\(186\) | −0.336907 | − | 1.30172i | −0.0247032 | − | 0.0954464i | ||||
\(187\) | −29.1056 | −2.12841 | ||||||||
\(188\) | 8.49425 | 0.619507 | ||||||||
\(189\) | −4.37471 | + | 13.0331i | −0.318213 | + | 0.948019i | ||||
\(190\) | −0.0521667 | −0.00378457 | ||||||||
\(191\) | 15.6330 | 1.13117 | 0.565584 | − | 0.824691i | \(-0.308651\pi\) | ||||
0.565584 | + | 0.824691i | \(0.308651\pi\) | |||||||
\(192\) | −0.433986 | − | 1.67680i | −0.0313202 | − | 0.121013i | ||||
\(193\) | 1.78709 | 0.128638 | 0.0643189 | − | 0.997929i | \(-0.479513\pi\) | ||||
0.0643189 | + | 0.997929i | \(0.479513\pi\) | |||||||
\(194\) | −0.0494422 | + | 0.0856364i | −0.00354974 | + | 0.00614834i | ||||
\(195\) | −0.0226396 | − | 0.0874731i | −0.00162126 | − | 0.00626408i | ||||
\(196\) | −3.93199 | + | 5.79133i | −0.280856 | + | 0.413666i | ||||
\(197\) | 4.22803 | 0.301234 | 0.150617 | − | 0.988592i | \(-0.451874\pi\) | ||||
0.150617 | + | 0.988592i | \(0.451874\pi\) | |||||||
\(198\) | −10.3254 | − | 6.19887i | −0.733796 | − | 0.440534i | ||||
\(199\) | 1.70163 | − | 2.94730i | 0.120625 | − | 0.208929i | −0.799389 | − | 0.600813i | \(-0.794843\pi\) |
0.920014 | + | 0.391885i | \(0.128177\pi\) | |||||||
\(200\) | 0.500000 | + | 0.866025i | 0.0353553 | + | 0.0612372i | ||||
\(201\) | −3.05297 | − | 11.7958i | −0.215340 | − | 0.832014i | ||||
\(202\) | −1.86012 | − | 3.22181i | −0.130877 | − | 0.226686i | ||||
\(203\) | −2.36010 | − | 0.0860112i | −0.165646 | − | 0.00603681i | ||||
\(204\) | −12.1017 | − | 3.35365i | −0.847289 | − | 0.234803i | ||||
\(205\) | 12.3138 | 0.860033 | ||||||||
\(206\) | 3.32906 | − | 5.76609i | 0.231946 | − | 0.401743i | ||||
\(207\) | −0.271648 | + | 15.9049i | −0.0188809 | + | 1.10547i | ||||
\(208\) | −0.0260834 | − | 0.0451777i | −0.00180856 | − | 0.00313251i | ||||
\(209\) | −0.104710 | + | 0.181362i | −0.00724292 | + | 0.0125451i | ||||
\(210\) | −0.985884 | − | 4.47527i | −0.0680325 | − | 0.308823i | ||||
\(211\) | −5.51544 | − | 9.55302i | −0.379698 | − | 0.657657i | 0.611320 | − | 0.791384i | \(-0.290639\pi\) |
−0.991018 | + | 0.133727i | \(0.957306\pi\) | |||||||
\(212\) | −3.85257 | + | 6.67285i | −0.264596 | + | 0.458293i | ||||
\(213\) | −1.12720 | − | 4.35520i | −0.0772347 | − | 0.298413i | ||||
\(214\) | 2.19941 | + | 3.80948i | 0.150348 | + | 0.260411i | ||||
\(215\) | 6.24713 | + | 10.8203i | 0.426050 | + | 0.737941i | ||||
\(216\) | −3.57892 | − | 3.76714i | −0.243514 | − | 0.256321i | ||||
\(217\) | −0.961498 | − | 1.81497i | −0.0652707 | − | 0.123208i | ||||
\(218\) | −6.29094 | + | 10.8962i | −0.426076 | + | 0.737985i | ||||
\(219\) | 0.00455277 | + | 0.00126167i | 0.000307648 | + | 8.52561e-5i | ||||
\(220\) | 4.01442 | 0.270652 | ||||||||
\(221\) | −0.378222 | −0.0254419 | ||||||||
\(222\) | 8.16993 | − | 8.03158i | 0.548330 | − | 0.539044i | ||||
\(223\) | 8.65546 | − | 14.9917i | 0.579612 | − | 1.00392i | −0.415911 | − | 0.909405i | \(-0.636537\pi\) |
0.995524 | − | 0.0945127i | \(-0.0301293\pi\) | |||||||
\(224\) | −1.23855 | − | 2.33795i | −0.0827541 | − | 0.156211i | ||||
\(225\) | 2.57208 | + | 1.54415i | 0.171472 | + | 0.102943i | ||||
\(226\) | 7.70375 | + | 13.3433i | 0.512446 | + | 0.887582i | ||||
\(227\) | 8.71099 | + | 15.0879i | 0.578168 | + | 1.00142i | 0.995689 | + | 0.0927498i | \(0.0295657\pi\) |
−0.417521 | + | 0.908667i | \(0.637101\pi\) | |||||||
\(228\) | −0.0644341 | + | 0.0633430i | −0.00426725 | + | 0.00419499i | ||||
\(229\) | −11.1989 | + | 19.3971i | −0.740047 | + | 1.28180i | 0.212427 | + | 0.977177i | \(0.431863\pi\) |
−0.952473 | + | 0.304622i | \(0.901470\pi\) | |||||||
\(230\) | −2.65121 | − | 4.59203i | −0.174815 | − | 0.302789i | ||||
\(231\) | −17.5376 | − | 5.55530i | −1.15389 | − | 0.365512i | ||||
\(232\) | 0.446313 | − | 0.773036i | 0.0293019 | − | 0.0507523i | ||||
\(233\) | −11.4226 | − | 19.7845i | −0.748319 | − | 1.29613i | −0.948628 | − | 0.316394i | \(-0.897528\pi\) |
0.200309 | − | 0.979733i | \(-0.435806\pi\) | |||||||
\(234\) | −0.134177 | − | 0.0805532i | −0.00877143 | − | 0.00526592i | ||||
\(235\) | −4.24713 | + | 7.35624i | −0.277052 | + | 0.479868i | ||||
\(236\) | −11.7196 | −0.762879 | ||||||||
\(237\) | −3.51850 | − | 13.5945i | −0.228551 | − | 0.883059i | ||||
\(238\) | −19.1696 | − | 0.698616i | −1.24258 | − | 0.0452846i | ||||
\(239\) | −6.64051 | − | 11.5017i | −0.429539 | − | 0.743983i | 0.567293 | − | 0.823516i | \(-0.307991\pi\) |
−0.996832 | + | 0.0795324i | \(0.974657\pi\) | |||||||
\(240\) | 1.66914 | + | 0.462557i | 0.107743 | + | 0.0298579i | ||||
\(241\) | 9.30588 | + | 16.1183i | 0.599444 | + | 1.03827i | 0.992903 | + | 0.118926i | \(0.0379451\pi\) |
−0.393459 | + | 0.919342i | \(0.628722\pi\) | |||||||
\(242\) | 2.55780 | − | 4.43024i | 0.164422 | − | 0.284786i | ||||
\(243\) | −14.8714 | − | 4.67358i | −0.953999 | − | 0.299810i | ||||
\(244\) | −6.00985 | −0.384741 | ||||||||
\(245\) | −3.04944 | − | 6.30087i | −0.194822 | − | 0.402548i | ||||
\(246\) | 15.2095 | − | 14.9519i | 0.969722 | − | 0.953301i | ||||
\(247\) | −0.00136068 | + | 0.00235677i | −8.65782e−5 | + | 0.000149958i | ||||
\(248\) | 0.776310 | 0.0492957 | ||||||||
\(249\) | 2.40124 | + | 0.665437i | 0.152172 | + | 0.0421703i | ||||
\(250\) | −1.00000 | −0.0632456 | ||||||||
\(251\) | 21.3384 | 1.34687 | 0.673435 | − | 0.739247i | \(-0.264818\pi\) | ||||
0.673435 | + | 0.739247i | \(0.264818\pi\) | |||||||
\(252\) | −6.65178 | − | 4.33056i | −0.419023 | − | 0.272800i | ||||
\(253\) | −21.2861 | −1.33825 | ||||||||
\(254\) | −9.93721 | −0.623516 | ||||||||
\(255\) | 8.95520 | − | 8.80356i | 0.560797 | − | 0.551300i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 6.13746 | − | 10.6304i | 0.382844 | − | 0.663106i | −0.608623 | − | 0.793459i | \(-0.708278\pi\) |
0.991468 | + | 0.130354i | \(0.0416113\pi\) | |||||||
\(258\) | 20.8547 | + | 5.77930i | 1.29836 | + | 0.359804i | ||||
\(259\) | 9.29630 | − | 14.8269i | 0.577644 | − | 0.921302i | ||||
\(260\) | 0.0521667 | 0.00323524 | ||||||||
\(261\) | 0.0457301 | − | 2.67749i | 0.00283063 | − | 0.165732i | ||||
\(262\) | 9.92774 | − | 17.1953i | 0.613338 | − | 1.06233i | ||||
\(263\) | 13.0292 | + | 22.5673i | 0.803417 | + | 1.39156i | 0.917354 | + | 0.398071i | \(0.130320\pi\) |
−0.113937 | + | 0.993488i | \(0.536346\pi\) | |||||||
\(264\) | 4.95845 | − | 4.87448i | 0.305171 | − | 0.300004i | ||||
\(265\) | −3.85257 | − | 6.67285i | −0.236662 | − | 0.409910i | ||||
\(266\) | −0.0733175 | + | 0.116936i | −0.00449538 | + | 0.00716983i | ||||
\(267\) | −0.310994 | + | 0.305728i | −0.0190326 | + | 0.0187103i | ||||
\(268\) | 7.03474 | 0.429715 | ||||||||
\(269\) | 4.51132 | − | 7.81384i | 0.275060 | − | 0.476418i | −0.695090 | − | 0.718923i | \(-0.744636\pi\) |
0.970150 | + | 0.242504i | \(0.0779689\pi\) | |||||||
\(270\) | 5.05190 | − | 1.21586i | 0.307449 | − | 0.0739951i | ||||
\(271\) | −5.26269 | − | 9.11525i | −0.319686 | − | 0.553712i | 0.660737 | − | 0.750618i | \(-0.270244\pi\) |
−0.980422 | + | 0.196906i | \(0.936911\pi\) | |||||||
\(272\) | 3.62512 | − | 6.27890i | 0.219805 | − | 0.380714i | ||||
\(273\) | −0.227898 | − | 0.0721901i | −0.0137930 | − | 0.00436914i | ||||
\(274\) | −9.11260 | − | 15.7835i | −0.550512 | − | 0.953515i | ||||
\(275\) | −2.00721 | + | 3.47659i | −0.121039 | + | 0.209646i | ||||
\(276\) | −8.85049 | − | 2.45267i | −0.532737 | − | 0.147633i | ||||
\(277\) | −8.49664 | − | 14.7166i | −0.510514 | − | 0.884235i | −0.999926 | − | 0.0121828i | \(-0.996122\pi\) |
0.489412 | − | 0.872053i | \(-0.337211\pi\) | |||||||
\(278\) | 1.97097 | + | 3.41382i | 0.118211 | + | 0.204748i | ||||
\(279\) | 2.03650 | − | 1.12985i | 0.121922 | − | 0.0676425i | ||||
\(280\) | 2.64400 | + | 0.0963576i | 0.158009 | + | 0.00575847i | ||||
\(281\) | −13.4909 | + | 23.3669i | −0.804800 | + | 1.39395i | 0.111627 | + | 0.993750i | \(0.464394\pi\) |
−0.916426 | + | 0.400203i | \(0.868939\pi\) | |||||||
\(282\) | 3.68638 | + | 14.2432i | 0.219521 | + | 0.848168i | ||||
\(283\) | 7.94938 | 0.472541 | 0.236271 | − | 0.971687i | \(-0.424075\pi\) | ||||
0.236271 | + | 0.971687i | \(0.424075\pi\) | |||||||
\(284\) | 2.59733 | 0.154123 | ||||||||
\(285\) | −0.0226396 | − | 0.0874731i | −0.00134105 | − | 0.00518146i | ||||
\(286\) | 0.104710 | − | 0.181362i | 0.00619161 | − | 0.0107242i | ||||
\(287\) | 17.3064 | − | 27.6025i | 1.02156 | − | 1.62932i | ||||
\(288\) | 2.62331 | − | 1.45541i | 0.154580 | − | 0.0857611i | ||||
\(289\) | −17.7831 | − | 30.8012i | −1.04606 | − | 1.81183i | ||||
\(290\) | 0.446313 | + | 0.773036i | 0.0262084 | + | 0.0453943i | ||||
\(291\) | −0.165052 | − | 0.0457397i | −0.00967554 | − | 0.00268131i | ||||
\(292\) | −0.00136380 | + | 0.00236218i | −7.98106e−5 | + | 0.000138236i | ||||
\(293\) | 1.70776 | + | 2.95793i | 0.0997686 | + | 0.172804i | 0.911589 | − | 0.411103i | \(-0.134856\pi\) |
−0.811820 | + | 0.583907i | \(0.801523\pi\) | |||||||
\(294\) | −11.4173 | − | 4.07980i | −0.665872 | − | 0.237939i | ||||
\(295\) | 5.85978 | − | 10.1494i | 0.341170 | − | 0.590923i | ||||
\(296\) | 3.30724 | + | 5.72831i | 0.192229 | + | 0.332951i | ||||
\(297\) | 5.91317 | − | 20.0039i | 0.343117 | − | 1.16074i | ||||
\(298\) | −6.56021 | + | 11.3626i | −0.380023 | + | 0.658219i | ||||
\(299\) | −0.276610 | −0.0159967 | ||||||||
\(300\) | −1.23516 | + | 1.21424i | −0.0713119 | + | 0.0701043i | ||||
\(301\) | 33.0348 | + | 1.20392i | 1.90409 | + | 0.0693926i | ||||
\(302\) | −10.4132 | − | 18.0362i | −0.599212 | − | 1.03787i | ||||
\(303\) | 4.59507 | − | 4.51726i | 0.263980 | − | 0.259510i | ||||
\(304\) | −0.0260834 | − | 0.0451777i | −0.00149598 | − | 0.00259112i | ||||
\(305\) | 3.00492 | − | 5.20468i | 0.172061 | − | 0.298019i | ||||
\(306\) | 0.371438 | − | 21.7476i | 0.0212337 | − | 1.24323i | ||||
\(307\) | −24.2329 | −1.38305 | −0.691523 | − | 0.722355i | \(-0.743060\pi\) | ||||
−0.691523 | + | 0.722355i | \(0.743060\pi\) | |||||||
\(308\) | 5.64206 | − | 8.99869i | 0.321486 | − | 0.512748i | ||||
\(309\) | 11.1133 | + | 3.07976i | 0.632216 | + | 0.175201i | ||||
\(310\) | −0.388155 | + | 0.672304i | −0.0220457 | + | 0.0381843i | ||||
\(311\) | −25.8296 | −1.46466 | −0.732330 | − | 0.680950i | \(-0.761567\pi\) | ||||
−0.732330 | + | 0.680950i | \(0.761567\pi\) | |||||||
\(312\) | 0.0644341 | − | 0.0633430i | 0.00364786 | − | 0.00358609i | ||||
\(313\) | −13.5148 | −0.763904 | −0.381952 | − | 0.924182i | \(-0.624748\pi\) | ||||
−0.381952 | + | 0.924182i | \(0.624748\pi\) | |||||||
\(314\) | 5.80353 | 0.327512 | ||||||||
\(315\) | 7.07627 | − | 3.59533i | 0.398703 | − | 0.202574i | ||||
\(316\) | 8.10742 | 0.456078 | ||||||||
\(317\) | −6.68124 | −0.375256 | −0.187628 | − | 0.982240i | \(-0.560080\pi\) | ||||
−0.187628 | + | 0.982240i | \(0.560080\pi\) | |||||||
\(318\) | −12.8610 | − | 3.56407i | −0.721209 | − | 0.199863i | ||||
\(319\) | 3.58338 | 0.200631 | ||||||||
\(320\) | −0.500000 | + | 0.866025i | −0.0279508 | + | 0.0484123i | ||||
\(321\) | −5.43323 | + | 5.34123i | −0.303253 | + | 0.298118i | ||||
\(322\) | −14.0196 | − | 0.510928i | −0.781280 | − | 0.0284729i | ||||
\(323\) | −0.378222 | −0.0210448 | ||||||||
\(324\) | 4.76354 | − | 7.63601i | 0.264641 | − | 0.424223i | ||||
\(325\) | −0.0260834 | + | 0.0451777i | −0.00144684 | + | 0.00250601i | ||||
\(326\) | 2.37914 | + | 4.12080i | 0.131769 | + | 0.228230i | ||||
\(327\) | −21.0010 | − | 5.81983i | −1.16136 | − | 0.321838i | ||||
\(328\) | 6.15690 | + | 10.6641i | 0.339958 | + | 0.588824i | ||||
\(329\) | 10.5206 | + | 19.8591i | 0.580017 | + | 1.09487i | ||||
\(330\) | 1.74220 | + | 6.73138i | 0.0959051 | + | 0.370550i | ||||
\(331\) | 2.46098 | 0.135267 | 0.0676337 | − | 0.997710i | \(-0.478455\pi\) | ||||
0.0676337 | + | 0.997710i | \(0.478455\pi\) | |||||||
\(332\) | −0.719302 | + | 1.24587i | −0.0394768 | + | 0.0683759i | ||||
\(333\) | 17.0130 | + | 10.2137i | 0.932306 | + | 0.559710i | ||||
\(334\) | −10.2392 | − | 17.7348i | −0.560265 | − | 0.970408i | ||||
\(335\) | −3.51737 | + | 6.09226i | −0.192174 | + | 0.332856i | ||||
\(336\) | 3.38275 | − | 3.09144i | 0.184544 | − | 0.168652i | ||||
\(337\) | 14.0750 | + | 24.3787i | 0.766716 | + | 1.32799i | 0.939335 | + | 0.343002i | \(0.111444\pi\) |
−0.172618 | + | 0.984989i | \(0.555223\pi\) | |||||||
\(338\) | −6.49864 | + | 11.2560i | −0.353479 | + | 0.612244i | ||||
\(339\) | −19.0307 | + | 18.7084i | −1.03361 | + | 1.01610i | ||||
\(340\) | 3.62512 | + | 6.27890i | 0.196600 | + | 0.340521i | ||||
\(341\) | 1.55822 | + | 2.69891i | 0.0843822 | + | 0.146154i | ||||
\(342\) | −0.134177 | − | 0.0805532i | −0.00725546 | − | 0.00435582i | ||||
\(343\) | −18.4098 | − | 2.01993i | −0.994035 | − | 0.109066i | ||||
\(344\) | −6.24713 | + | 10.8203i | −0.336822 | + | 0.583394i | ||||
\(345\) | 6.54932 | − | 6.43842i | 0.352604 | − | 0.346633i | ||||
\(346\) | 15.6520 | 0.841456 | ||||||||
\(347\) | 18.4836 | 0.992253 | 0.496126 | − | 0.868250i | \(-0.334755\pi\) | ||||
0.496126 | + | 0.868250i | \(0.334755\pi\) | |||||||
\(348\) | 1.48992 | + | 0.412890i | 0.0798681 | + | 0.0221332i | ||||
\(349\) | −9.92399 | + | 17.1888i | −0.531219 | + | 0.920098i | 0.468117 | + | 0.883666i | \(0.344932\pi\) |
−0.999336 | + | 0.0364316i | \(0.988401\pi\) | |||||||
\(350\) | −1.40545 | + | 2.24159i | −0.0751243 | + | 0.119818i | ||||
\(351\) | 0.0768406 | − | 0.259947i | 0.00410145 | − | 0.0138749i | ||||
\(352\) | 2.00721 | + | 3.47659i | 0.106985 | + | 0.185303i | ||||
\(353\) | −0.000179492 | 0 | 0.000310890i | −9.55340e−6 | 0 | 1.65470e-5i | 0.866021 | − | 0.500008i | \(-0.166670\pi\) |
−0.866030 | + | 0.499992i | \(0.833336\pi\) | |||||||
\(354\) | −5.08612 | − | 19.6514i | −0.270324 | − | 1.04446i | ||||
\(355\) | −1.29866 | + | 2.24935i | −0.0689259 | + | 0.119383i | ||||
\(356\) | −0.125893 | − | 0.218052i | −0.00667229 | − | 0.0115568i | ||||
\(357\) | −7.14790 | − | 32.4468i | −0.378307 | − | 1.71727i | ||||
\(358\) | 6.25434 | − | 10.8328i | 0.330552 | − | 0.572533i | ||||
\(359\) | 3.97435 | + | 6.88377i | 0.209758 | + | 0.363312i | 0.951638 | − | 0.307221i | \(-0.0993990\pi\) |
−0.741880 | + | 0.670532i | \(0.766066\pi\) | |||||||
\(360\) | −0.0512311 | + | 2.99956i | −0.00270011 | + | 0.158091i | ||||
\(361\) | 9.49864 | − | 16.4521i | 0.499928 | − | 0.865901i | ||||
\(362\) | −7.33900 | −0.385729 | ||||||||
\(363\) | 8.53867 | + | 2.36626i | 0.448164 | + | 0.124196i | ||||
\(364\) | 0.0733175 | − | 0.116936i | 0.00384288 | − | 0.00612913i | ||||
\(365\) | −0.00136380 | − | 0.00236218i | −7.13848e−5 | − | 0.000123642i | ||||
\(366\) | −2.60819 | − | 10.0773i | −0.136332 | − | 0.526749i | ||||
\(367\) | −2.17976 | − | 3.77545i | −0.113783 | − | 0.197077i | 0.803510 | − | 0.595291i | \(-0.202963\pi\) |
−0.917292 | + | 0.398214i | \(0.869630\pi\) | |||||||
\(368\) | 2.65121 | − | 4.59203i | 0.138204 | − | 0.239376i | ||||
\(369\) | 31.6721 | + | 19.0143i | 1.64878 | + | 0.989847i | ||||
\(370\) | −6.61448 | −0.343870 | ||||||||
\(371\) | −20.3724 | − | 0.742449i | −1.05768 | − | 0.0385460i | ||||
\(372\) | 0.336907 | + | 1.30172i | 0.0174678 | + | 0.0674908i | ||||
\(373\) | 4.67454 | − | 8.09655i | 0.242039 | − | 0.419223i | −0.719256 | − | 0.694745i | \(-0.755517\pi\) |
0.961295 | + | 0.275522i | \(0.0888506\pi\) | |||||||
\(374\) | 29.1056 | 1.50501 | ||||||||
\(375\) | −0.433986 | − | 1.67680i | −0.0224109 | − | 0.0865896i | ||||
\(376\) | −8.49425 | −0.438058 | ||||||||
\(377\) | 0.0465653 | 0.00239824 | ||||||||
\(378\) | 4.37471 | − | 13.0331i | 0.225011 | − | 0.670351i | ||||
\(379\) | 9.01414 | 0.463025 | 0.231513 | − | 0.972832i | \(-0.425633\pi\) | ||||
0.231513 | + | 0.972832i | \(0.425633\pi\) | |||||||
\(380\) | 0.0521667 | 0.00267610 | ||||||||
\(381\) | −4.31261 | − | 16.6627i | −0.220941 | − | 0.853656i | ||||
\(382\) | −15.6330 | −0.799856 | ||||||||
\(383\) | 1.61016 | − | 2.78887i | 0.0822751 | − | 0.142505i | −0.821952 | − | 0.569557i | \(-0.807115\pi\) |
0.904227 | + | 0.427052i | \(0.140448\pi\) | |||||||
\(384\) | 0.433986 | + | 1.67680i | 0.0221467 | + | 0.0855688i | ||||
\(385\) | 4.97206 | + | 9.38551i | 0.253400 | + | 0.478330i | ||||
\(386\) | −1.78709 | −0.0909607 | ||||||||
\(387\) | −0.640094 | + | 37.4773i | −0.0325378 | + | 1.90508i | ||||
\(388\) | 0.0494422 | − | 0.0856364i | 0.00251005 | − | 0.00434753i | ||||
\(389\) | −8.52286 | − | 14.7620i | −0.432126 | − | 0.748464i | 0.564930 | − | 0.825139i | \(-0.308903\pi\) |
−0.997056 | + | 0.0766746i | \(0.975570\pi\) | |||||||
\(390\) | 0.0226396 | + | 0.0874731i | 0.00114640 | + | 0.00442937i | ||||
\(391\) | −19.2219 | − | 33.2933i | −0.972094 | − | 1.68372i | ||||
\(392\) | 3.93199 | − | 5.79133i | 0.198595 | − | 0.292506i | ||||
\(393\) | 33.1416 | + | 9.18429i | 1.67177 | + | 0.463286i | ||||
\(394\) | −4.22803 | −0.213005 | ||||||||
\(395\) | −4.05371 | + | 7.02123i | −0.203964 | + | 0.353277i | ||||
\(396\) | 10.3254 | + | 6.19887i | 0.518872 | + | 0.311505i | ||||
\(397\) | −10.7813 | − | 18.6738i | −0.541098 | − | 0.937209i | −0.998841 | − | 0.0481250i | \(-0.984675\pi\) |
0.457743 | − | 0.889084i | \(-0.348658\pi\) | |||||||
\(398\) | −1.70163 | + | 2.94730i | −0.0852948 | + | 0.147735i | ||||
\(399\) | −0.227898 | − | 0.0721901i | −0.0114091 | − | 0.00361402i | ||||
\(400\) | −0.500000 | − | 0.866025i | −0.0250000 | − | 0.0433013i | ||||
\(401\) | −11.6882 | + | 20.2445i | −0.583680 | + | 1.01096i | 0.411358 | + | 0.911474i | \(0.365055\pi\) |
−0.995039 | + | 0.0994903i | \(0.968279\pi\) | |||||||
\(402\) | 3.05297 | + | 11.7958i | 0.152269 | + | 0.588323i | ||||
\(403\) | 0.0202488 | + | 0.0350719i | 0.00100866 | + | 0.00174705i | ||||
\(404\) | 1.86012 | + | 3.22181i | 0.0925442 | + | 0.160291i | ||||
\(405\) | 4.23121 | + | 7.94335i | 0.210251 | + | 0.394708i | ||||
\(406\) | 2.36010 | + | 0.0860112i | 0.117130 | + | 0.00426867i | ||||
\(407\) | −13.2767 | + | 22.9959i | −0.658100 | + | 1.13986i | ||||
\(408\) | 12.1017 | + | 3.35365i | 0.599124 | + | 0.166031i | ||||
\(409\) | 13.6519 | 0.675043 | 0.337522 | − | 0.941318i | \(-0.390411\pi\) | ||||
0.337522 | + | 0.941318i | \(0.390411\pi\) | |||||||
\(410\) | −12.3138 | −0.608135 | ||||||||
\(411\) | 22.5110 | − | 22.1298i | 1.11039 | − | 1.09158i | ||||
\(412\) | −3.32906 | + | 5.76609i | −0.164011 | + | 0.284075i | ||||
\(413\) | −14.5153 | − | 27.3997i | −0.714250 | − | 1.34825i | ||||
\(414\) | 0.271648 | − | 15.9049i | 0.0133508 | − | 0.781685i | ||||
\(415\) | −0.719302 | − | 1.24587i | −0.0353092 | − | 0.0611572i | ||||
\(416\) | 0.0260834 | + | 0.0451777i | 0.00127884 | + | 0.00221502i | ||||
\(417\) | −4.86893 | + | 4.78648i | −0.238432 | + | 0.234395i | ||||
\(418\) | 0.104710 | − | 0.181362i | 0.00512152 | − | 0.00887073i | ||||
\(419\) | −2.12414 | − | 3.67912i | −0.103771 | − | 0.179737i | 0.809464 | − | 0.587169i | \(-0.199758\pi\) |
−0.913235 | + | 0.407432i | \(0.866424\pi\) | |||||||
\(420\) | 0.985884 | + | 4.47527i | 0.0481062 | + | 0.218371i | ||||
\(421\) | −4.72417 | + | 8.18249i | −0.230242 | + | 0.398790i | −0.957879 | − | 0.287172i | \(-0.907285\pi\) |
0.727637 | + | 0.685962i | \(0.240618\pi\) | |||||||
\(422\) | 5.51544 | + | 9.55302i | 0.268487 | + | 0.465034i | ||||
\(423\) | −22.2831 | + | 12.3627i | −1.08344 | + | 0.601093i | ||||
\(424\) | 3.85257 | − | 6.67285i | 0.187097 | − | 0.324062i | ||||
\(425\) | −7.25025 | −0.351689 | ||||||||
\(426\) | 1.12720 | + | 4.35520i | 0.0546132 | + | 0.211010i | ||||
\(427\) | −7.44349 | − | 14.0507i | −0.360216 | − | 0.679961i | ||||
\(428\) | −2.19941 | − | 3.80948i | −0.106312 | − | 0.184138i | ||||
\(429\) | 0.349551 | + | 0.0968684i | 0.0168765 | + | 0.00467685i | ||||
\(430\) | −6.24713 | − | 10.8203i | −0.301263 | − | 0.521803i | ||||
\(431\) | −16.0575 | + | 27.8124i | −0.773463 | + | 1.33968i | 0.162191 | + | 0.986759i | \(0.448144\pi\) |
−0.935654 | + | 0.352918i | \(0.885189\pi\) | |||||||
\(432\) | 3.57892 | + | 3.76714i | 0.172191 | + | 0.181247i | ||||
\(433\) | 12.0619 | 0.579658 | 0.289829 | − | 0.957079i | \(-0.406402\pi\) | ||||
0.289829 | + | 0.957079i | \(0.406402\pi\) | |||||||
\(434\) | 0.961498 | + | 1.81497i | 0.0461534 | + | 0.0871214i | ||||
\(435\) | −1.10253 | + | 1.08386i | −0.0528624 | + | 0.0519673i | ||||
\(436\) | 6.29094 | − | 10.8962i | 0.301281 | − | 0.521834i | ||||
\(437\) | −0.276610 | −0.0132320 | ||||||||
\(438\) | −0.00455277 | − | 0.00126167i | −0.000217540 | − | 6.02851e-5i | ||||
\(439\) | −31.3849 | −1.49792 | −0.748960 | − | 0.662615i | \(-0.769446\pi\) | ||||
−0.748960 | + | 0.662615i | \(0.769446\pi\) | |||||||
\(440\) | −4.01442 | −0.191380 | ||||||||
\(441\) | 1.88606 | − | 20.9151i | 0.0898123 | − | 0.995959i | ||||
\(442\) | 0.378222 | 0.0179902 | ||||||||
\(443\) | 10.9378 | 0.519672 | 0.259836 | − | 0.965653i | \(-0.416332\pi\) | ||||
0.259836 | + | 0.965653i | \(0.416332\pi\) | |||||||
\(444\) | −8.16993 | + | 8.03158i | −0.387728 | + | 0.381162i | ||||
\(445\) | 0.251785 | 0.0119358 | ||||||||
\(446\) | −8.65546 | + | 14.9917i | −0.409848 | + | 0.709877i | ||||
\(447\) | −21.8999 | − | 6.06895i | −1.03583 | − | 0.287051i | ||||
\(448\) | 1.23855 | + | 2.33795i | 0.0585160 | + | 0.110458i | ||||
\(449\) | 6.91798 | 0.326480 | 0.163240 | − | 0.986586i | \(-0.447806\pi\) | ||||
0.163240 | + | 0.986586i | \(0.447806\pi\) | |||||||
\(450\) | −2.57208 | − | 1.54415i | −0.121249 | − | 0.0727919i | ||||
\(451\) | −24.7164 | + | 42.8101i | −1.16385 | + | 2.01585i | ||||
\(452\) | −7.70375 | − | 13.3433i | −0.362354 | − | 0.627615i | ||||
\(453\) | 25.7239 | − | 25.2883i | 1.20861 | − | 1.18815i | ||||
\(454\) | −8.71099 | − | 15.0879i | −0.408827 | − | 0.708109i | ||||
\(455\) | 0.0646111 | + | 0.121963i | 0.00302901 | + | 0.00571771i | ||||
\(456\) | 0.0644341 | − | 0.0633430i | 0.00301740 | − | 0.00296631i | ||||
\(457\) | −13.0857 | −0.612125 | −0.306062 | − | 0.952011i | \(-0.599012\pi\) | ||||
−0.306062 | + | 0.952011i | \(0.599012\pi\) | |||||||
\(458\) | 11.1989 | − | 19.3971i | 0.523292 | − | 0.906369i | ||||
\(459\) | 36.6275 | − | 8.81531i | 1.70963 | − | 0.411463i | ||||
\(460\) | 2.65121 | + | 4.59203i | 0.123613 | + | 0.214104i | ||||
\(461\) | −12.8473 | + | 22.2521i | −0.598356 | + | 1.03638i | 0.394708 | + | 0.918807i | \(0.370846\pi\) |
−0.993064 | + | 0.117576i | \(0.962487\pi\) | |||||||
\(462\) | 17.5376 | + | 5.55530i | 0.815921 | + | 0.258456i | ||||
\(463\) | 3.20488 | + | 5.55101i | 0.148943 | + | 0.257977i | 0.930837 | − | 0.365434i | \(-0.119079\pi\) |
−0.781894 | + | 0.623412i | \(0.785746\pi\) | |||||||
\(464\) | −0.446313 | + | 0.773036i | −0.0207196 | + | 0.0358873i | ||||
\(465\) | −1.29577 | − | 0.359088i | −0.0600900 | − | 0.0166523i | ||||
\(466\) | 11.4226 | + | 19.7845i | 0.529142 | + | 0.916500i | ||||
\(467\) | 13.9086 | + | 24.0905i | 0.643616 | + | 1.11477i | 0.984619 | + | 0.174713i | \(0.0558997\pi\) |
−0.341004 | + | 0.940062i | \(0.610767\pi\) | |||||||
\(468\) | 0.134177 | + | 0.0805532i | 0.00620234 | + | 0.00372357i | ||||
\(469\) | 8.71287 | + | 16.4468i | 0.402323 | + | 0.759444i | ||||
\(470\) | 4.24713 | − | 7.35624i | 0.195905 | − | 0.339318i | ||||
\(471\) | 2.51865 | + | 9.73136i | 0.116053 | + | 0.448397i | ||||
\(472\) | 11.7196 | 0.539437 | ||||||||
\(473\) | −50.1572 | −2.30623 | ||||||||
\(474\) | 3.51850 | + | 13.5945i | 0.161610 | + | 0.624417i | ||||
\(475\) | −0.0260834 | + | 0.0451777i | −0.00119679 | + | 0.00207289i | ||||
\(476\) | 19.1696 | + | 0.698616i | 0.878639 | + | 0.0320210i | ||||
\(477\) | 0.394743 | − | 23.1121i | 0.0180740 | − | 1.05823i | ||||
\(478\) | 6.64051 | + | 11.5017i | 0.303730 | + | 0.526076i | ||||
\(479\) | −12.4861 | − | 21.6265i | −0.570503 | − | 0.988140i | −0.996514 | − | 0.0834222i | \(-0.973415\pi\) |
0.426011 | − | 0.904718i | \(-0.359918\pi\) | |||||||
\(480\) | −1.66914 | − | 0.462557i | −0.0761856 | − | 0.0211127i | ||||
\(481\) | −0.172528 | + | 0.298827i | −0.00786659 | + | 0.0136253i | ||||
\(482\) | −9.30588 | − | 16.1183i | −0.423871 | − | 0.734166i | ||||
\(483\) | −5.22757 | − | 23.7297i | −0.237863 | − | 1.07974i | ||||
\(484\) | −2.55780 | + | 4.43024i | −0.116264 | + | 0.201374i | ||||
\(485\) | 0.0494422 | + | 0.0856364i | 0.00224506 | + | 0.00388855i | ||||
\(486\) | 14.8714 | + | 4.67358i | 0.674579 | + | 0.211998i | ||||
\(487\) | −12.7183 | + | 22.0287i | −0.576320 | + | 0.998215i | 0.419577 | + | 0.907720i | \(0.362178\pi\) |
−0.995897 | + | 0.0904954i | \(0.971155\pi\) | |||||||
\(488\) | 6.00985 | 0.272053 | ||||||||
\(489\) | −5.87724 | + | 5.77771i | −0.265778 | + | 0.261277i | ||||
\(490\) | 3.04944 | + | 6.30087i | 0.137760 | + | 0.284644i | ||||
\(491\) | −10.3563 | − | 17.9377i | −0.467374 | − | 0.809516i | 0.531931 | − | 0.846788i | \(-0.321467\pi\) |
−0.999305 | + | 0.0372720i | \(0.988133\pi\) | |||||||
\(492\) | −15.2095 | + | 14.9519i | −0.685697 | + | 0.674085i | ||||
\(493\) | 3.23588 | + | 5.60471i | 0.145737 | + | 0.252423i | ||||
\(494\) | 0.00136068 | − | 0.00235677i | 6.12200e−5 | − | 0.000106036i | ||||
\(495\) | −10.5311 | + | 5.84265i | −0.473337 | + | 0.262607i | ||||
\(496\) | −0.776310 | −0.0348573 | ||||||||
\(497\) | 3.21692 | + | 6.07242i | 0.144299 | + | 0.272385i | ||||
\(498\) | −2.40124 | − | 0.665437i | −0.107602 | − | 0.0298189i | ||||
\(499\) | −1.04430 | + | 1.80878i | −0.0467493 | + | 0.0809721i | −0.888453 | − | 0.458967i | \(-0.848220\pi\) |
0.841704 | + | 0.539939i | \(0.181553\pi\) | |||||||
\(500\) | 1.00000 | 0.0447214 | ||||||||
\(501\) | 25.2941 | − | 24.8658i | 1.13006 | − | 1.11092i | ||||
\(502\) | −21.3384 | −0.952381 | ||||||||
\(503\) | 33.5825 | 1.49737 | 0.748684 | − | 0.662926i | \(-0.230686\pi\) | ||||
0.748684 | + | 0.662926i | \(0.230686\pi\) | |||||||
\(504\) | 6.65178 | + | 4.33056i | 0.296294 | + | 0.192899i | ||||
\(505\) | −3.72023 | −0.165548 | ||||||||
\(506\) | 21.2861 | 0.946284 | ||||||||
\(507\) | −21.6943 | − | 6.01198i | −0.963479 | − | 0.267002i | ||||
\(508\) | 9.93721 | 0.440892 | ||||||||
\(509\) | −7.77464 | + | 13.4661i | −0.344605 | + | 0.596873i | −0.985282 | − | 0.170937i | \(-0.945320\pi\) |
0.640677 | + | 0.767811i | \(0.278654\pi\) | |||||||
\(510\) | −8.95520 | + | 8.80356i | −0.396543 | + | 0.389828i | ||||
\(511\) | −0.00721178 | 0.000262826i | −0.000319031 | 1.16267e-5i | ||||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0.0768406 | − | 0.259947i | 0.00339259 | − | 0.0114769i | ||||
\(514\) | −6.13746 | + | 10.6304i | −0.270712 | + | 0.468886i | ||||
\(515\) | −3.32906 | − | 5.76609i | −0.146696 | − | 0.254084i | ||||
\(516\) | −20.8547 | − | 5.77930i | −0.918077 | − | 0.254420i | ||||
\(517\) | −17.0498 | − | 29.5311i | −0.749848 | − | 1.29877i | ||||
\(518\) | −9.29630 | + | 14.8269i | −0.408456 | + | 0.651459i | ||||
\(519\) | 6.79274 | + | 26.2452i | 0.298168 | + | 1.15204i | ||||
\(520\) | −0.0521667 | −0.00228766 | ||||||||
\(521\) | −11.1434 | + | 19.3010i | −0.488202 | + | 0.845591i | −0.999908 | − | 0.0135700i | \(-0.995680\pi\) |
0.511706 | + | 0.859161i | \(0.329014\pi\) | |||||||
\(522\) | −0.0457301 | + | 2.67749i | −0.00200155 | + | 0.117190i | ||||
\(523\) | −17.5176 | − | 30.3414i | −0.765992 | − | 1.32674i | −0.939721 | − | 0.341943i | \(-0.888915\pi\) |
0.173729 | − | 0.984794i | \(-0.444418\pi\) | |||||||
\(524\) | −9.92774 | + | 17.1953i | −0.433695 | + | 0.751182i | ||||
\(525\) | −4.36864 | − | 1.38383i | −0.190663 | − | 0.0603955i | ||||
\(526\) | −13.0292 | − | 22.5673i | −0.568102 | − | 0.983981i | ||||
\(527\) | −2.81422 | + | 4.87437i | −0.122589 | + | 0.212331i | ||||
\(528\) | −4.95845 | + | 4.87448i | −0.215789 | + | 0.212135i | ||||
\(529\) | −2.55781 | − | 4.43025i | −0.111209 | − | 0.192620i | ||||
\(530\) | 3.85257 | + | 6.67285i | 0.167345 | + | 0.289850i | ||||
\(531\) | 30.7441 | − | 17.0568i | 1.33418 | − | 0.740203i | ||||
\(532\) | 0.0733175 | − | 0.116936i | 0.00317872 | − | 0.00506983i | ||||
\(533\) | −0.321185 | + | 0.556309i | −0.0139121 | + | 0.0240964i | ||||
\(534\) | 0.310994 | − | 0.305728i | 0.0134580 | − | 0.0132302i | ||||
\(535\) | 4.39881 | 0.190177 | ||||||||
\(536\) | −7.03474 | −0.303854 | ||||||||
\(537\) | 20.8788 | + | 5.78598i | 0.900986 | + | 0.249683i | ||||
\(538\) | −4.51132 | + | 7.81384i | −0.194497 | + | 0.336879i | ||||
\(539\) | 28.0264 | + | 2.04550i | 1.20718 | + | 0.0881060i | ||||
\(540\) | −5.05190 | + | 1.21586i | −0.217399 | + | 0.0523224i | ||||
\(541\) | 19.6525 | + | 34.0391i | 0.844927 | + | 1.46346i | 0.885685 | + | 0.464287i | \(0.153690\pi\) |
−0.0407575 | + | 0.999169i | \(0.512977\pi\) | |||||||
\(542\) | 5.26269 | + | 9.11525i | 0.226052 | + | 0.391534i | ||||
\(543\) | −3.18502 | − | 12.3060i | −0.136682 | − | 0.528102i | ||||
\(544\) | −3.62512 | + | 6.27890i | −0.155426 | + | 0.269206i | ||||
\(545\) | 6.29094 | + | 10.8962i | 0.269474 | + | 0.466743i | ||||
\(546\) | 0.227898 | + | 0.0721901i | 0.00975311 | + | 0.00308945i | ||||
\(547\) | −9.05904 | + | 15.6907i | −0.387337 | + | 0.670887i | −0.992090 | − | 0.125526i | \(-0.959938\pi\) |
0.604754 | + | 0.796413i | \(0.293272\pi\) | |||||||
\(548\) | 9.11260 | + | 15.7835i | 0.389271 | + | 0.674237i | ||||
\(549\) | 15.7657 | − | 8.74681i | 0.672864 | − | 0.373305i | ||||
\(550\) | 2.00721 | − | 3.47659i | 0.0855878 | − | 0.148242i | ||||
\(551\) | 0.0465653 | 0.00198375 | ||||||||
\(552\) | 8.85049 | + | 2.45267i | 0.376702 | + | 0.104393i | ||||
\(553\) | 10.0414 | + | 18.9547i | 0.427006 | + | 0.806036i | ||||
\(554\) | 8.49664 | + | 14.7166i | 0.360988 | + | 0.625249i | ||||
\(555\) | −2.87059 | − | 11.0912i | −0.121850 | − | 0.470793i | ||||
\(556\) | −1.97097 | − | 3.41382i | −0.0835879 | − | 0.144778i | ||||
\(557\) | −6.59903 | + | 11.4299i | −0.279610 | + | 0.484299i | −0.971288 | − | 0.237907i | \(-0.923539\pi\) |
0.691678 | + | 0.722206i | \(0.256872\pi\) | |||||||
\(558\) | −2.03650 | + | 1.12985i | −0.0862120 | + | 0.0478304i | ||||
\(559\) | −0.651784 | −0.0275675 | ||||||||
\(560\) | −2.64400 | − | 0.0963576i | −0.111729 | − | 0.00407185i | ||||
\(561\) | 12.6314 | + | 48.8042i | 0.533298 | + | 2.06052i | ||||
\(562\) | 13.4909 | − | 23.3669i | 0.569079 | − | 0.985674i | ||||
\(563\) | 5.76183 | 0.242832 | 0.121416 | − | 0.992602i | \(-0.461256\pi\) | ||||
0.121416 | + | 0.992602i | \(0.461256\pi\) | |||||||
\(564\) | −3.68638 | − | 14.2432i | −0.155225 | − | 0.599745i | ||||
\(565\) | 15.4075 | 0.648198 | ||||||||
\(566\) | −7.94938 | −0.334137 | ||||||||
\(567\) | 23.7525 | + | 1.67932i | 0.997510 | + | 0.0705249i | ||||
\(568\) | −2.59733 | −0.108981 | ||||||||
\(569\) | 16.6305 | 0.697185 | 0.348592 | − | 0.937274i | \(-0.386660\pi\) | ||||
0.348592 | + | 0.937274i | \(0.386660\pi\) | |||||||
\(570\) | 0.0226396 | + | 0.0874731i | 0.000948269 | + | 0.00366385i | ||||
\(571\) | 22.9197 | 0.959161 | 0.479580 | − | 0.877498i | \(-0.340789\pi\) | ||||
0.479580 | + | 0.877498i | \(0.340789\pi\) | |||||||
\(572\) | −0.104710 | + | 0.181362i | −0.00437813 | + | 0.00758314i | ||||
\(573\) | −6.78452 | − | 26.2135i | −0.283427 | − | 1.09508i | ||||
\(574\) | −17.3064 | + | 27.6025i | −0.722354 | + | 1.15211i | ||||
\(575\) | −5.30242 | −0.221126 | ||||||||
\(576\) | −2.62331 | + | 1.45541i | −0.109305 | + | 0.0606422i | ||||
\(577\) | −19.0433 | + | 32.9840i | −0.792783 | + | 1.37314i | 0.131454 | + | 0.991322i | \(0.458035\pi\) |
−0.924237 | + | 0.381819i | \(0.875298\pi\) | |||||||
\(578\) | 17.7831 | + | 30.8012i | 0.739678 | + | 1.28116i | ||||
\(579\) | −0.775573 | − | 2.99660i | −0.0322317 | − | 0.124534i | ||||
\(580\) | −0.446313 | − | 0.773036i | −0.0185321 | − | 0.0320986i | ||||
\(581\) | −3.80366 | − | 0.138620i | −0.157803 | − | 0.00575094i | ||||
\(582\) | 0.165052 | + | 0.0457397i | 0.00684164 | + | 0.00189597i | ||||
\(583\) | 30.9317 | 1.28106 | ||||||||
\(584\) | 0.00136380 | − | 0.00236218i | 5.64346e−5 | − | 9.77476e-5i | ||||
\(585\) | −0.136850 | + | 0.0759242i | −0.00565803 | + | 0.00313908i | ||||
\(586\) | −1.70776 | − | 2.95793i | −0.0705470 | − | 0.122191i | ||||
\(587\) | 11.9252 | − | 20.6550i | 0.492205 | − | 0.852523i | −0.507755 | − | 0.861501i | \(-0.669524\pi\) |
0.999960 | + | 0.00897801i | \(0.00285783\pi\) | |||||||
\(588\) | 11.4173 | + | 4.07980i | 0.470842 | + | 0.168248i | ||||
\(589\) | 0.0202488 | + | 0.0350719i | 0.000834336 | + | 0.00144511i | ||||
\(590\) | −5.85978 | + | 10.1494i | −0.241243 | + | 0.417846i | ||||
\(591\) | −1.83490 | − | 7.08955i | −0.0754778 | − | 0.291625i | ||||
\(592\) | −3.30724 | − | 5.72831i | −0.135927 | − | 0.235432i | ||||
\(593\) | 4.11155 | + | 7.12141i | 0.168841 | + | 0.292441i | 0.938013 | − | 0.346601i | \(-0.112664\pi\) |
−0.769172 | + | 0.639042i | \(0.779331\pi\) | |||||||
\(594\) | −5.91317 | + | 20.0039i | −0.242620 | + | 0.820769i | ||||
\(595\) | −10.1898 | + | 16.2521i | −0.417742 | + | 0.666270i | ||||
\(596\) | 6.56021 | − | 11.3626i | 0.268717 | − | 0.465431i | ||||
\(597\) | −5.68051 | − | 1.57420i | −0.232488 | − | 0.0644276i | ||||
\(598\) | 0.276610 | 0.0113114 | ||||||||
\(599\) | 48.7569 | 1.99215 | 0.996076 | − | 0.0884966i | \(-0.0282062\pi\) | ||||
0.996076 | + | 0.0884966i | \(0.0282062\pi\) | |||||||
\(600\) | 1.23516 | − | 1.21424i | 0.0504251 | − | 0.0495712i | ||||
\(601\) | 2.22205 | − | 3.84871i | 0.0906394 | − | 0.156992i | −0.817141 | − | 0.576438i | \(-0.804442\pi\) |
0.907780 | + | 0.419446i | \(0.137776\pi\) | |||||||
\(602\) | −33.0348 | − | 1.20392i | −1.34640 | − | 0.0490679i | ||||
\(603\) | −18.4543 | + | 10.2385i | −0.751518 | + | 0.416942i | ||||
\(604\) | 10.4132 | + | 18.0362i | 0.423707 | + | 0.733882i | ||||
\(605\) | −2.55780 | − | 4.43024i | −0.103989 | − | 0.180115i | ||||
\(606\) | −4.59507 | + | 4.51726i | −0.186662 | + | 0.183501i | ||||
\(607\) | −0.853546 | + | 1.47839i | −0.0346444 | + | 0.0600058i | −0.882828 | − | 0.469697i | \(-0.844363\pi\) |
0.848183 | + | 0.529703i | \(0.177697\pi\) | |||||||
\(608\) | 0.0260834 | + | 0.0451777i | 0.00105782 | + | 0.00183220i | ||||
\(609\) | 0.880025 | + | 3.99474i | 0.0356604 | + | 0.161875i | ||||
\(610\) | −3.00492 | + | 5.20468i | −0.121666 | + | 0.210731i | ||||
\(611\) | −0.221559 | − | 0.383751i | −0.00896330 | − | 0.0155249i | ||||
\(612\) | −0.371438 | + | 21.7476i | −0.0150145 | + | 0.879094i | ||||
\(613\) | 16.6421 | − | 28.8250i | 0.672168 | − | 1.16423i | −0.305120 | − | 0.952314i | \(-0.598696\pi\) |
0.977288 | − | 0.211916i | \(-0.0679702\pi\) | |||||||
\(614\) | 24.2329 | 0.977961 | ||||||||
\(615\) | −5.34401 | − | 20.6478i | −0.215491 | − | 0.832598i | ||||
\(616\) | −5.64206 | + | 8.99869i | −0.227325 | + | 0.362567i | ||||
\(617\) | −10.2173 | − | 17.6968i | −0.411332 | − | 0.712448i | 0.583704 | − | 0.811967i | \(-0.301603\pi\) |
−0.995036 | + | 0.0995186i | \(0.968270\pi\) | |||||||
\(618\) | −11.1133 | − | 3.07976i | −0.447044 | − | 0.123886i | ||||
\(619\) | −2.80998 | − | 4.86704i | −0.112943 | − | 0.195623i | 0.804013 | − | 0.594612i | \(-0.202694\pi\) |
−0.916956 | + | 0.398989i | \(0.869361\pi\) | |||||||
\(620\) | 0.388155 | − | 0.672304i | 0.0155887 | − | 0.0270004i | ||||
\(621\) | 26.7873 | − | 6.44701i | 1.07494 | − | 0.258710i | ||||
\(622\) | 25.8296 | 1.03567 | ||||||||
\(623\) | 0.353870 | − | 0.564399i | 0.0141775 | − | 0.0226122i | ||||
\(624\) | −0.0644341 | + | 0.0633430i | −0.00257943 | + | 0.00253575i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 13.5148 | 0.540162 | ||||||||
\(627\) | 0.349551 | + | 0.0968684i | 0.0139597 | + | 0.00386855i | ||||
\(628\) | −5.80353 | −0.231586 | ||||||||
\(629\) | −47.9566 | −1.91216 | ||||||||
\(630\) | −7.07627 | + | 3.59533i | −0.281925 | + | 0.143241i | ||||
\(631\) | 9.48152 | 0.377453 | 0.188727 | − | 0.982030i | \(-0.439564\pi\) | ||||
0.188727 | + | 0.982030i | \(0.439564\pi\) | |||||||
\(632\) | −8.10742 | −0.322496 | ||||||||
\(633\) | −13.6249 | + | 13.3942i | −0.541540 | + | 0.532370i | ||||
\(634\) | 6.68124 | 0.265346 | ||||||||
\(635\) | −4.96860 | + | 8.60587i | −0.197173 | + | 0.341514i | ||||
\(636\) | 12.8610 | + | 3.56407i | 0.509971 | + | 0.141325i | ||||
\(637\) | 0.364198 | + | 0.0265809i | 0.0144301 | + | 0.00105317i | ||||
\(638\) | −3.58338 | −0.141867 | ||||||||
\(639\) | −6.81361 | + | 3.78019i | −0.269542 | + | 0.149542i | ||||
\(640\) | 0.500000 | − | 0.866025i | 0.0197642 | − | 0.0342327i | ||||
\(641\) | −18.7899 | − | 32.5451i | −0.742158 | − | 1.28545i | −0.951511 | − | 0.307615i | \(-0.900469\pi\) |
0.209354 | − | 0.977840i | \(-0.432864\pi\) | |||||||
\(642\) | 5.43323 | − | 5.34123i | 0.214432 | − | 0.210801i | ||||
\(643\) | 19.0222 | + | 32.9474i | 0.750162 | + | 1.29932i | 0.947744 | + | 0.319032i | \(0.103358\pi\) |
−0.197582 | + | 0.980286i | \(0.563309\pi\) | |||||||
\(644\) | 14.0196 | + | 0.510928i | 0.552448 | + | 0.0201334i | ||||
\(645\) | 15.4324 | − | 15.1710i | 0.607649 | − | 0.597359i | ||||
\(646\) | 0.378222 | 0.0148809 | ||||||||
\(647\) | 22.7234 | − | 39.3582i | 0.893351 | − | 1.54733i | 0.0575186 | − | 0.998344i | \(-0.481681\pi\) |
0.835832 | − | 0.548985i | \(-0.184986\pi\) | |||||||
\(648\) | −4.76354 | + | 7.63601i | −0.187130 | + | 0.299971i | ||||
\(649\) | 23.5237 | + | 40.7442i | 0.923384 | + | 1.59935i | ||||
\(650\) | 0.0260834 | − | 0.0451777i | 0.00102307 | − | 0.00177202i | ||||
\(651\) | −2.62606 | + | 2.39991i | −0.102924 | + | 0.0940599i | ||||
\(652\) | −2.37914 | − | 4.12080i | −0.0931744 | − | 0.161383i | ||||
\(653\) | 12.8083 | − | 22.1847i | 0.501229 | − | 0.868154i | −0.498770 | − | 0.866734i | \(-0.666215\pi\) |
0.999999 | − | 0.00141993i | \(-0.000451979\pi\) | |||||||
\(654\) | 21.0010 | + | 5.81983i | 0.821202 | + | 0.227574i | ||||
\(655\) | −9.92774 | − | 17.1953i | −0.387909 | − | 0.671878i | ||||
\(656\) | −6.15690 | − | 10.6641i | −0.240387 | − | 0.416362i | ||||
\(657\) | 0.000139738 | − | 0.00818163i | 5.45171e−6 | − | 0.000319196i | ||||
\(658\) | −10.5206 | − | 19.8591i | −0.410134 | − | 0.774189i | ||||
\(659\) | 2.30206 | − | 3.98728i | 0.0896754 | − | 0.155322i | −0.817699 | − | 0.575647i | \(-0.804750\pi\) |
0.907374 | + | 0.420324i | \(0.138084\pi\) | |||||||
\(660\) | −1.74220 | − | 6.73138i | −0.0678151 | − | 0.262019i | ||||
\(661\) | −14.4388 | −0.561603 | −0.280801 | − | 0.959766i | \(-0.590600\pi\) | ||||
−0.280801 | + | 0.959766i | \(0.590600\pi\) | |||||||
\(662\) | −2.46098 | −0.0956485 | ||||||||
\(663\) | 0.164143 | + | 0.634202i | 0.00637478 | + | 0.0246304i | ||||
\(664\) | 0.719302 | − | 1.24587i | 0.0279143 | − | 0.0483490i | ||||
\(665\) | 0.0646111 | + | 0.121963i | 0.00250551 | + | 0.00472952i | ||||
\(666\) | −17.0130 | − | 10.2137i | −0.659240 | − | 0.395774i | ||||
\(667\) | 2.36654 | + | 4.09896i | 0.0916326 | + | 0.158712i | ||||
\(668\) | 10.2392 | + | 17.7348i | 0.396167 | + | 0.686182i | ||||
\(669\) | −28.8944 | − | 8.00729i | −1.11712 | − | 0.309580i | ||||
\(670\) | 3.51737 | − | 6.09226i | 0.135888 | − | 0.235365i | ||||
\(671\) | 12.0630 | + | 20.8938i | 0.465688 | + | 0.806596i | ||||
\(672\) | −3.38275 | + | 3.09144i | −0.130493 | + | 0.119255i | ||||
\(673\) | 1.06123 | − | 1.83811i | 0.0409075 | − | 0.0708538i | −0.844847 | − | 0.535008i | \(-0.820308\pi\) |
0.885754 | + | 0.464155i | \(0.153642\pi\) | |||||||
\(674\) | −14.0750 | − | 24.3787i | −0.542150 | − | 0.939032i | ||||
\(675\) | 1.47298 | − | 4.98300i | 0.0566951 | − | 0.191796i | ||||
\(676\) | 6.49864 | − | 11.2560i | 0.249948 | − | 0.432922i | ||||
\(677\) | 30.7706 | 1.18261 | 0.591305 | − | 0.806448i | \(-0.298613\pi\) | ||||
0.591305 | + | 0.806448i | \(0.298613\pi\) | |||||||
\(678\) | 19.0307 | − | 18.7084i | 0.730870 | − | 0.718493i | ||||
\(679\) | 0.261450 | + | 0.00952827i | 0.0100335 | + | 0.000365661i | ||||
\(680\) | −3.62512 | − | 6.27890i | −0.139017 | − | 0.240785i | ||||
\(681\) | 21.5189 | − | 21.1545i | 0.824606 | − | 0.810642i | ||||
\(682\) | −1.55822 | − | 2.69891i | −0.0596672 | − | 0.103347i | ||||
\(683\) | −9.27365 | + | 16.0624i | −0.354846 | + | 0.614612i | −0.987092 | − | 0.160156i | \(-0.948800\pi\) |
0.632245 | + | 0.774768i | \(0.282133\pi\) | |||||||
\(684\) | 0.134177 | + | 0.0805532i | 0.00513039 | + | 0.00308003i | ||||
\(685\) | −18.2252 | −0.696349 | ||||||||
\(686\) | 18.4098 | + | 2.01993i | 0.702889 | + | 0.0771213i | ||||
\(687\) | 37.3853 | + | 10.3603i | 1.42634 | + | 0.395270i | ||||
\(688\) | 6.24713 | − | 10.8203i | 0.238169 | − | 0.412522i | ||||
\(689\) | 0.401952 | 0.0153131 | ||||||||
\(690\) | −6.54932 | + | 6.43842i | −0.249328 | + | 0.245106i | ||||
\(691\) | 36.8506 | 1.40186 | 0.700931 | − | 0.713229i | \(-0.252768\pi\) | ||||
0.700931 | + | 0.713229i | \(0.252768\pi\) | |||||||
\(692\) | −15.6520 | −0.594999 | ||||||||
\(693\) | −1.70406 | + | 31.8179i | −0.0647320 | + | 1.20866i | ||||
\(694\) | −18.4836 | −0.701629 | ||||||||
\(695\) | 3.94195 | 0.149527 | ||||||||
\(696\) | −1.48992 | − | 0.412890i | −0.0564753 | − | 0.0156506i | ||||
\(697\) | −89.2781 | −3.38165 | ||||||||
\(698\) | 9.92399 | − | 17.1888i | 0.375628 | − | 0.650607i | ||||
\(699\) | −28.2174 | + | 27.7396i | −1.06728 | + | 1.04921i | ||||
\(700\) | 1.40545 | − | 2.24159i | 0.0531209 | − | 0.0847241i | ||||
\(701\) | −13.6738 | −0.516453 | −0.258226 | − | 0.966084i | \(-0.583138\pi\) | ||||
−0.258226 | + | 0.966084i | \(0.583138\pi\) | |||||||
\(702\) | −0.0768406 | + | 0.259947i | −0.00290016 | + | 0.00981106i | ||||
\(703\) | −0.172528 | + | 0.298827i | −0.00650701 | + | 0.0112705i | ||||
\(704\) | −2.00721 | − | 3.47659i | −0.0756496 | − | 0.131029i | ||||
\(705\) | 14.1781 | + | 3.92908i | 0.533979 | + | 0.147978i | ||||
\(706\) | 0.000179492 | 0 | 0.000310890i | 6.75528e−6 | 0 | 1.17005e-5i | ||||
\(707\) | −5.22858 | + | 8.33923i | −0.196641 | + | 0.313629i | ||||
\(708\) | 5.08612 | + | 19.6514i | 0.191148 | + | 0.738543i | ||||
\(709\) | −16.6361 | −0.624782 | −0.312391 | − | 0.949954i | \(-0.601130\pi\) | ||||
−0.312391 | + | 0.949954i | \(0.601130\pi\) | |||||||
\(710\) | 1.29866 | − | 2.24935i | 0.0487380 | − | 0.0844167i | ||||
\(711\) | −21.2683 | + | 11.7997i | −0.797624 | + | 0.442522i | ||||
\(712\) | 0.125893 | + | 0.218052i | 0.00471802 | + | 0.00817186i | ||||
\(713\) | −2.05816 | + | 3.56483i | −0.0770786 | + | 0.133504i | ||||
\(714\) | 7.14790 | + | 32.4468i | 0.267504 | + | 1.21429i | ||||
\(715\) | −0.104710 | − | 0.181362i | −0.00391592 | − | 0.00678257i | ||||
\(716\) | −6.25434 | + | 10.8328i | −0.233736 | + | 0.404842i | ||||
\(717\) | −16.4042 | + | 16.1264i | −0.612625 | + | 0.602251i | ||||
\(718\) | −3.97435 | − | 6.88377i | −0.148321 | − | 0.256900i | ||||
\(719\) | −0.910074 | − | 1.57629i | −0.0339400 | − | 0.0587858i | 0.848556 | − | 0.529105i | \(-0.177472\pi\) |
−0.882496 | + | 0.470319i | \(0.844139\pi\) | |||||||
\(720\) | 0.0512311 | − | 2.99956i | 0.00190927 | − | 0.111787i | ||||
\(721\) | −17.6040 | − | 0.641560i | −0.655608 | − | 0.0238929i | ||||
\(722\) | −9.49864 | + | 16.4521i | −0.353503 | + | 0.612285i | ||||
\(723\) | 22.9885 | − | 22.5992i | 0.854950 | − | 0.840473i | ||||
\(724\) | 7.33900 | 0.272752 | ||||||||
\(725\) | 0.892626 | 0.0331513 | ||||||||
\(726\) | −8.53867 | − | 2.36626i | −0.316900 | − | 0.0878200i | ||||
\(727\) | 8.03070 | − | 13.9096i | 0.297842 | − | 0.515878i | −0.677800 | − | 0.735246i | \(-0.737066\pi\) |
0.975642 | + | 0.219369i | \(0.0703998\pi\) | |||||||
\(728\) | −0.0733175 | + | 0.116936i | −0.00271733 | + | 0.00433395i | ||||
\(729\) | −1.38270 | + | 26.9646i | −0.0512111 | + | 0.998688i | ||||
\(730\) | 0.00136380 | + | 0.00236218i | 5.04766e−5 | + | 8.74281e-5i | ||||
\(731\) | −45.2932 | − | 78.4502i | −1.67523 | − | 2.90158i | ||||
\(732\) | 2.60819 | + | 10.0773i | 0.0964014 | + | 0.372468i | ||||
\(733\) | −15.3752 | + | 26.6306i | −0.567895 | + | 0.983623i | 0.428879 | + | 0.903362i | \(0.358909\pi\) |
−0.996774 | + | 0.0802608i | \(0.974425\pi\) | |||||||
\(734\) | 2.17976 | + | 3.77545i | 0.0804564 | + | 0.139355i | ||||
\(735\) | −9.24187 | + | 7.84779i | −0.340892 | + | 0.289470i | ||||
\(736\) | −2.65121 | + | 4.59203i | −0.0977248 | + | 0.169264i | ||||
\(737\) | −14.1202 | − | 24.4569i | −0.520124 | − | 0.900882i | ||||
\(738\) | −31.6721 | − | 19.0143i | −1.16587 | − | 0.699927i | ||||
\(739\) | 23.8595 | − | 41.3258i | 0.877686 | − | 1.52020i | 0.0238113 | − | 0.999716i | \(-0.492420\pi\) |
0.853874 | − | 0.520479i | \(-0.174247\pi\) | |||||||
\(740\) | 6.61448 | 0.243153 | ||||||||
\(741\) | 0.00454235 | + | 0.00125879i | 0.000166867 | + | 4.62427e-5i | ||||
\(742\) | 20.3724 | + | 0.742449i | 0.747893 | + | 0.0272562i | ||||
\(743\) | 5.42220 | + | 9.39152i | 0.198921 | + | 0.344542i | 0.948179 | − | 0.317737i | \(-0.102923\pi\) |
−0.749258 | + | 0.662279i | \(0.769590\pi\) | |||||||
\(744\) | −0.336907 | − | 1.30172i | −0.0123516 | − | 0.0477232i | ||||
\(745\) | 6.56021 | + | 11.3626i | 0.240348 | + | 0.416294i | ||||
\(746\) | −4.67454 | + | 8.09655i | −0.171147 | + | 0.296436i | ||||
\(747\) | 0.0737012 | − | 4.31518i | 0.00269659 | − | 0.157884i | ||||
\(748\) | −29.1056 | −1.06421 | ||||||||
\(749\) | 6.18230 | − | 9.86033i | 0.225896 | − | 0.360289i | ||||
\(750\) | 0.433986 | + | 1.67680i | 0.0158469 | + | 0.0612281i | ||||
\(751\) | 10.3966 | − | 18.0074i | 0.379377 | − | 0.657100i | −0.611595 | − | 0.791171i | \(-0.709472\pi\) |
0.990972 | + | 0.134071i | \(0.0428051\pi\) | |||||||
\(752\) | 8.49425 | 0.309753 | ||||||||
\(753\) | −9.26057 | − | 35.7803i | −0.337474 | − | 1.30391i | ||||
\(754\) | −0.0465653 | −0.00169581 | ||||||||
\(755\) | −20.8264 | −0.757950 | ||||||||
\(756\) | −4.37471 | + | 13.0331i | −0.159107 | + | 0.474010i | ||||
\(757\) | 12.5008 | 0.454349 | 0.227174 | − | 0.973854i | \(-0.427051\pi\) | ||||
0.227174 | + | 0.973854i | \(0.427051\pi\) | |||||||
\(758\) | −9.01414 | −0.327408 | ||||||||
\(759\) | 9.23788 | + | 35.6926i | 0.335314 | + | 1.29556i | ||||
\(760\) | −0.0521667 | −0.00189229 | ||||||||
\(761\) | 3.53371 | − | 6.12057i | 0.128097 | − | 0.221870i | −0.794842 | − | 0.606816i | \(-0.792446\pi\) |
0.922939 | + | 0.384946i | \(0.125780\pi\) | |||||||
\(762\) | 4.31261 | + | 16.6627i | 0.156229 | + | 0.603626i | ||||
\(763\) | 33.2664 | + | 1.21236i | 1.20433 | + | 0.0438903i | ||||
\(764\) | 15.6330 | 0.565584 | ||||||||
\(765\) | −18.6482 | − | 11.1955i | −0.674228 | − | 0.404773i | ||||
\(766\) | −1.61016 | + | 2.78887i | −0.0581773 | + | 0.100766i | ||||
\(767\) | 0.305686 | + | 0.529463i | 0.0110377 | + | 0.0191178i | ||||
\(768\) | −0.433986 | − | 1.67680i | −0.0156601 | − | 0.0605063i | ||||
\(769\) | 20.2432 | + | 35.0622i | 0.729987 | + | 1.26437i | 0.956888 | + | 0.290457i | \(0.0938073\pi\) |
−0.226901 | + | 0.973918i | \(0.572859\pi\) | |||||||
\(770\) | −4.97206 | − | 9.38551i | −0.179181 | − | 0.338230i | ||||
\(771\) | −20.4886 | − | 5.67785i | −0.737879 | − | 0.204483i | ||||
\(772\) | 1.78709 | 0.0643189 | ||||||||
\(773\) | −10.6195 | + | 18.3935i | −0.381956 | + | 0.661568i | −0.991342 | − | 0.131306i | \(-0.958083\pi\) |
0.609386 | + | 0.792874i | \(0.291416\pi\) | |||||||
\(774\) | 0.640094 | − | 37.4773i | 0.0230077 | − | 1.34709i | ||||
\(775\) | 0.388155 | + | 0.672304i | 0.0139429 | + | 0.0241499i | ||||
\(776\) | −0.0494422 | + | 0.0856364i | −0.00177487 | + | 0.00307417i | ||||
\(777\) | −28.8963 | − | 9.15334i | −1.03665 | − | 0.328374i | ||||
\(778\) | 8.52286 | + | 14.7620i | 0.305559 | + | 0.529244i | ||||
\(779\) | −0.321185 | + | 0.556309i | −0.0115077 | + | 0.0199318i | ||||
\(780\) | −0.0226396 | − | 0.0874731i | −0.000810628 | − | 0.00313204i | ||||
\(781\) | −5.21339 | − | 9.02985i | −0.186550 | − | 0.323114i | ||||
\(782\) | 19.2219 | + | 33.2933i | 0.687374 | + | 1.19057i | ||||
\(783\) | −4.50945 | + | 1.08531i | −0.161155 | + | 0.0387858i | ||||
\(784\) | −3.93199 | + | 5.79133i | −0.140428 | + | 0.206833i | ||||
\(785\) | 2.90177 | − | 5.02601i | 0.103568 | − | 0.179386i | ||||
\(786\) | −33.1416 | − | 9.18429i | −1.18212 | − | 0.327593i | ||||
\(787\) | 45.9806 | 1.63903 | 0.819515 | − | 0.573058i | \(-0.194243\pi\) | ||||
0.819515 | + | 0.573058i | \(0.194243\pi\) | |||||||
\(788\) | 4.22803 | 0.150617 | ||||||||
\(789\) | 32.1863 | − | 31.6413i | 1.14586 | − | 1.12646i | ||||
\(790\) | 4.05371 | − | 7.02123i | 0.144225 | − | 0.249804i | ||||
\(791\) | 21.6544 | − | 34.5373i | 0.769942 | − | 1.22800i | ||||
\(792\) | −10.3254 | − | 6.19887i | −0.366898 | − | 0.220267i | ||||
\(793\) | 0.156757 | + | 0.271511i | 0.00556660 | + | 0.00964164i | ||||
\(794\) | 10.7813 | + | 18.6738i | 0.382614 | + | 0.662707i | ||||
\(795\) | −9.51707 | + | 9.35591i | −0.337536 | + | 0.331820i | ||||
\(796\) | 1.70163 | − | 2.94730i | 0.0603125 | − | 0.104464i | ||||
\(797\) | −17.1189 | − | 29.6508i | −0.606382 | − | 1.05028i | −0.991831 | − | 0.127555i | \(-0.959287\pi\) |
0.385449 | − | 0.922729i | \(-0.374046\pi\) | |||||||
\(798\) | 0.227898 | + | 0.0721901i | 0.00806748 | + | 0.00255550i | ||||
\(799\) | 30.7927 | − | 53.3346i | 1.08937 | − | 1.88684i | ||||
\(800\) | 0.500000 | + | 0.866025i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | 0.647612 | + | 0.388794i | 0.0228822 | + | 0.0137373i | ||||
\(802\) | 11.6882 | − | 20.2445i | 0.412724 | − | 0.714860i | ||||
\(803\) | 0.0109498 | 0.000386409 | ||||||||
\(804\) | −3.05297 | − | 11.7958i | −0.107670 | − | 0.416007i | ||||
\(805\) | −7.45226 | + | 11.8858i | −0.262658 | + | 0.418921i | ||||
\(806\) | −0.0202488 | − | 0.0350719i | −0.000713232 | − | 0.00123535i | ||||
\(807\) | −15.0601 | − | 4.17349i | −0.530140 | − | 0.146914i | ||||
\(808\) | −1.86012 | − | 3.22181i | −0.0654386 | − | 0.113343i | ||||
\(809\) | 2.64043 | − | 4.57336i | 0.0928326 | − | 0.160791i | −0.815869 | − | 0.578236i | \(-0.803741\pi\) |
0.908702 | + | 0.417445i | \(0.137075\pi\) | |||||||
\(810\) | −4.23121 | − | 7.94335i | −0.148670 | − | 0.279101i | ||||
\(811\) | 15.2726 | 0.536292 | 0.268146 | − | 0.963378i | \(-0.413589\pi\) | ||||
0.268146 | + | 0.963378i | \(0.413589\pi\) | |||||||
\(812\) | −2.36010 | − | 0.0860112i | −0.0828232 | − | 0.00301840i | ||||
\(813\) | −13.0005 | + | 12.7804i | −0.455948 | + | 0.448227i | ||||
\(814\) | 13.2767 | − | 22.9959i | 0.465347 | − | 0.806004i | ||||
\(815\) | 4.75829 | 0.166676 | ||||||||
\(816\) | −12.1017 | − | 3.35365i | −0.423645 | − | 0.117401i | ||||
\(817\) | −0.651784 | −0.0228030 | ||||||||
\(818\) | −13.6519 | −0.477328 | ||||||||
\(819\) | −0.0221440 | + | 0.413468i | −0.000773774 | + | 0.0144477i | ||||
\(820\) | 12.3138 | 0.430016 | ||||||||
\(821\) | 12.9686 | 0.452606 | 0.226303 | − | 0.974057i | \(-0.427336\pi\) | ||||
0.226303 | + | 0.974057i | \(0.427336\pi\) | |||||||
\(822\) | −22.5110 | + | 22.1298i | −0.785161 | + | 0.771866i | ||||
\(823\) | −25.9464 | −0.904436 | −0.452218 | − | 0.891907i | \(-0.649367\pi\) | ||||
−0.452218 | + | 0.891907i | \(0.649367\pi\) | |||||||
\(824\) | 3.32906 | − | 5.76609i | 0.115973 | − | 0.200871i | ||||
\(825\) | 6.70065 | + | 1.85690i | 0.233287 | + | 0.0646490i | ||||
\(826\) | 14.5153 | + | 27.3997i | 0.505051 | + | 0.953358i | ||||
\(827\) | −16.9301 | −0.588719 | −0.294359 | − | 0.955695i | \(-0.595106\pi\) | ||||
−0.294359 | + | 0.955695i | \(0.595106\pi\) | |||||||
\(828\) | −0.271648 | + | 15.9049i | −0.00944043 | + | 0.552734i | ||||
\(829\) | −2.45372 | + | 4.24996i | −0.0852211 | + | 0.147607i | −0.905485 | − | 0.424377i | \(-0.860493\pi\) |
0.820264 | + | 0.571985i | \(0.193826\pi\) | |||||||
\(830\) | 0.719302 | + | 1.24587i | 0.0249673 | + | 0.0432447i | ||||
\(831\) | −20.9894 | + | 20.6340i | −0.728114 | + | 0.715784i | ||||
\(832\) | −0.0260834 | − | 0.0451777i | −0.000904278 | − | 0.00156625i | ||||
\(833\) | 22.1092 | + | 45.6828i | 0.766039 | + | 1.58282i | ||||
\(834\) | 4.86893 | − | 4.78648i | 0.168597 | − | 0.165742i | ||||
\(835\) | −20.4784 | −0.708685 | ||||||||
\(836\) | −0.104710 | + | 0.181362i | −0.00362146 | + | 0.00627255i | ||||
\(837\) | −2.77835 | − | 2.92447i | −0.0960337 | − | 0.101084i | ||||
\(838\) | 2.12414 | + | 3.67912i | 0.0733773 | + | 0.127093i | ||||
\(839\) | −3.10771 | + | 5.38270i | −0.107290 | + | 0.185832i | −0.914671 | − | 0.404198i | \(-0.867551\pi\) |
0.807382 | + | 0.590030i | \(0.200884\pi\) | |||||||
\(840\) | −0.985884 | − | 4.47527i | −0.0340162 | − | 0.154411i | ||||
\(841\) | 14.1016 | + | 24.4247i | 0.486262 | + | 0.842231i | ||||
\(842\) | 4.72417 | − | 8.18249i | 0.162805 | − | 0.281987i | ||||
\(843\) | 45.0365 | + | 12.4806i | 1.55114 | + | 0.429855i | ||||
\(844\) | −5.51544 | − | 9.55302i | −0.189849 | − | 0.328829i | ||||
\(845\) | 6.49864 | + | 11.2560i | 0.223560 | + | 0.387217i | ||||
\(846\) | 22.2831 | − | 12.3627i | 0.766108 | − | 0.425037i | ||||
\(847\) | −13.5256 | − | 0.492927i | −0.464746 | − | 0.0169372i | ||||
\(848\) | −3.85257 | + | 6.67285i | −0.132298 | + | 0.229147i | ||||
\(849\) | −3.44992 | − | 13.3295i | −0.118401 | − | 0.457468i | ||||
\(850\) | 7.25025 | 0.248681 | ||||||||
\(851\) | −35.0727 | −1.20228 | ||||||||
\(852\) | −1.12720 | − | 4.35520i | −0.0386174 | − | 0.149207i | ||||
\(853\) | 28.3836 | − | 49.1619i | 0.971837 | − | 1.68327i | 0.281838 | − | 0.959462i | \(-0.409056\pi\) |
0.690000 | − | 0.723810i | \(-0.257611\pi\) | |||||||
\(854\) | 7.44349 | + | 14.0507i | 0.254711 | + | 0.480805i | ||||
\(855\) | −0.136850 | + | 0.0759242i | −0.00468016 | + | 0.00259655i | ||||
\(856\) | 2.19941 | + | 3.80948i | 0.0751742 | + | 0.130205i | ||||
\(857\) | −14.2763 | − | 24.7273i | −0.487669 | − | 0.844667i | 0.512231 | − | 0.858848i | \(-0.328819\pi\) |
−0.999899 | + | 0.0141808i | \(0.995486\pi\) | |||||||
\(858\) | −0.349551 | − | 0.0968684i | −0.0119335 | − | 0.00330703i | ||||
\(859\) | 21.9568 | − | 38.0303i | 0.749156 | − | 1.29758i | −0.199072 | − | 0.979985i | \(-0.563793\pi\) |
0.948228 | − | 0.317591i | \(-0.102874\pi\) | |||||||
\(860\) | 6.24713 | + | 10.8203i | 0.213025 | + | 0.368970i | ||||
\(861\) | −53.7945 | − | 17.0403i | −1.83331 | − | 0.580730i | ||||
\(862\) | 16.0575 | − | 27.8124i | 0.546921 | − | 0.947295i | ||||
\(863\) | −15.6633 | − | 27.1296i | −0.533185 | − | 0.923504i | −0.999249 | − | 0.0387526i | \(-0.987662\pi\) |
0.466064 | − | 0.884751i | \(-0.345672\pi\) | |||||||
\(864\) | −3.57892 | − | 3.76714i | −0.121757 | − | 0.128161i | ||||
\(865\) | 7.82599 | − | 13.5550i | 0.266092 | − | 0.460884i | ||||
\(866\) | −12.0619 | −0.409880 | ||||||||
\(867\) | −43.9298 | + | 43.1859i | −1.49193 | + | 1.46667i | ||||
\(868\) | −0.961498 | − | 1.81497i | −0.0326354 | − | 0.0616041i | ||||
\(869\) | −16.2733 | − | 28.1862i | −0.552034 | − | 0.956151i | ||||
\(870\) | 1.10253 | − | 1.08386i | 0.0373794 | − | 0.0367464i | ||||
\(871\) | −0.183489 | − | 0.317813i | −0.00621730 | − | 0.0107687i | ||||
\(872\) | −6.29094 | + | 10.8962i | −0.213038 | + | 0.368993i | ||||
\(873\) | −0.00506595 | + | 0.296610i | −0.000171457 | + | 0.0100387i | ||||
\(874\) | 0.276610 | 0.00935646 | ||||||||
\(875\) | 1.23855 | + | 2.33795i | 0.0418706 | + | 0.0790370i | ||||
\(876\) | 0.00455277 | + | 0.00126167i | 0.000153824 | + | 4.26280e-5i | ||||
\(877\) | −5.06020 | + | 8.76452i | −0.170871 | + | 0.295957i | −0.938725 | − | 0.344668i | \(-0.887991\pi\) |
0.767854 | + | 0.640625i | \(0.221325\pi\) | |||||||
\(878\) | 31.3849 | 1.05919 | ||||||||
\(879\) | 4.21871 | − | 4.14728i | 0.142294 | − | 0.139884i | ||||
\(880\) | 4.01442 | 0.135326 | ||||||||
\(881\) | −8.84685 | −0.298058 | −0.149029 | − | 0.988833i | \(-0.547615\pi\) | ||||
−0.149029 | + | 0.988833i | \(0.547615\pi\) | |||||||
\(882\) | −1.88606 | + | 20.9151i | −0.0635069 | + | 0.704249i | ||||
\(883\) | −30.8256 | −1.03736 | −0.518682 | − | 0.854967i | \(-0.673577\pi\) | ||||
−0.518682 | + | 0.854967i | \(0.673577\pi\) | |||||||
\(884\) | −0.378222 | −0.0127210 | ||||||||
\(885\) | −19.5616 | − | 5.42097i | −0.657557 | − | 0.182224i | ||||
\(886\) | −10.9378 | −0.367463 | ||||||||
\(887\) | −1.73219 | + | 3.00025i | −0.0581614 | + | 0.100738i | −0.893640 | − | 0.448784i | \(-0.851857\pi\) |
0.835479 | + | 0.549523i | \(0.185190\pi\) | |||||||
\(888\) | 8.16993 | − | 8.03158i | 0.274165 | − | 0.269522i | ||||
\(889\) | 12.3077 | + | 23.2327i | 0.412788 | + | 0.779198i | ||||
\(890\) | −0.251785 | −0.00843986 | ||||||||
\(891\) | −36.1087 | − | 1.23380i | −1.20969 | − | 0.0413338i | ||||
\(892\) | 8.65546 | − | 14.9917i | 0.289806 | − | 0.501959i | ||||
\(893\) | −0.221559 | − | 0.383751i | −0.00741417 | − | 0.0128417i | ||||
\(894\) | 21.8999 | + | 6.06895i | 0.732442 | + | 0.202976i | ||||
\(895\) | −6.25434 | − | 10.8328i | −0.209059 | − | 0.362102i | ||||
\(896\) | −1.23855 | − | 2.33795i | −0.0413770 | − | 0.0781053i | ||||
\(897\) | 0.120045 | + | 0.463819i | 0.00400817 | + | 0.0154865i | ||||
\(898\) | −6.91798 | −0.230856 | ||||||||
\(899\) | 0.346477 | − | 0.600116i | 0.0115557 | − | 0.0200150i | ||||
\(900\) | 2.57208 | + | 1.54415i | 0.0857361 | + | 0.0514716i | ||||
\(901\) | 27.9321 | + | 48.3798i | 0.930553 | + | 1.61177i | ||||
\(902\) | 24.7164 | − | 42.8101i | 0.822966 | − | 1.42542i | ||||
\(903\) | −12.3179 | − | 55.9151i | −0.409913 | − | 1.86074i | ||||
\(904\) | 7.70375 | + | 13.3433i | 0.256223 | + | 0.443791i | ||||
\(905\) | −3.66950 | + | 6.35576i | −0.121978 | + | 0.211273i | ||||
\(906\) | −25.7239 | + | 25.2883i | −0.854619 | + | 0.840147i | ||||
\(907\) | −14.9943 | − | 25.9709i | −0.497878 | − | 0.862350i | 0.502119 | − | 0.864798i | \(-0.332554\pi\) |
−0.999997 | + | 0.00244876i | \(0.999221\pi\) | |||||||
\(908\) | 8.71099 | + | 15.0879i | 0.289084 | + | 0.500709i | ||||
\(909\) | −9.56874 | − | 5.74459i | −0.317375 | − | 0.190536i | ||||
\(910\) | −0.0646111 | − | 0.121963i | −0.00214184 | − | 0.00404303i | ||||
\(911\) | −22.6355 | + | 39.2059i | −0.749949 | + | 1.29895i | 0.197898 | + | 0.980223i | \(0.436588\pi\) |
−0.947847 | + | 0.318726i | \(0.896745\pi\) | |||||||
\(912\) | −0.0644341 | + | 0.0633430i | −0.00213363 | + | 0.00209750i | ||||
\(913\) | 5.77517 | 0.191130 | ||||||||
\(914\) | 13.0857 | 0.432838 | ||||||||
\(915\) | −10.0313 | − | 2.77990i | −0.331624 | − | 0.0919006i | ||||
\(916\) | −11.1989 | + | 19.3971i | −0.370023 | + | 0.640899i | ||||
\(917\) | −52.4978 | − | 1.91323i | −1.73363 | − | 0.0631803i | ||||
\(918\) | −36.6275 | + | 8.81531i | −1.20889 | + | 0.290949i | ||||
\(919\) | −2.54954 | − | 4.41594i | −0.0841017 | − | 0.145668i | 0.820906 | − | 0.571063i | \(-0.193469\pi\) |
−0.905008 | + | 0.425394i | \(0.860135\pi\) | |||||||
\(920\) | −2.65121 | − | 4.59203i | −0.0874077 | − | 0.151395i | ||||
\(921\) | 10.5167 | + | 40.6337i | 0.346538 | + | 1.33893i | ||||
\(922\) | 12.8473 | − | 22.2521i | 0.423102 | − | 0.732834i | ||||
\(923\) | −0.0677470 | − | 0.117341i | −0.00222992 | − | 0.00386234i | ||||
\(924\) | −17.5376 | − | 5.55530i | −0.576944 | − | 0.182756i | ||||
\(925\) | −3.30724 | + | 5.72831i | −0.108741 | + | 0.188346i | ||||
\(926\) | −3.20488 | − | 5.55101i | −0.105319 | − | 0.182418i | ||||
\(927\) | 0.341102 | − | 19.9714i | 0.0112033 | − | 0.655948i | ||||
\(928\) | 0.446313 | − | 0.773036i | 0.0146509 | − | 0.0253762i | ||||
\(929\) | 27.6955 | 0.908661 | 0.454331 | − | 0.890833i | \(-0.349878\pi\) | ||||
0.454331 | + | 0.890833i | \(0.349878\pi\) | |||||||
\(930\) | 1.29577 | + | 0.359088i | 0.0424900 | + | 0.0117749i | ||||
\(931\) | 0.364198 | + | 0.0265809i | 0.0119361 | + | 0.000871155i | ||||
\(932\) | −11.4226 | − | 19.7845i | −0.374160 | − | 0.648063i | ||||
\(933\) | 11.2097 | + | 43.3110i | 0.366988 | + | 1.41794i | ||||
\(934\) | −13.9086 | − | 24.0905i | −0.455105 | − | 0.788265i | ||||
\(935\) | 14.5528 | − | 25.2062i | 0.475927 | − | 0.824330i | ||||
\(936\) | −0.134177 | − | 0.0805532i | −0.00438571 | − | 0.00263296i | ||||
\(937\) | 36.9565 | 1.20732 | 0.603658 | − | 0.797243i | \(-0.293709\pi\) | ||||
0.603658 | + | 0.797243i | \(0.293709\pi\) | |||||||
\(938\) | −8.71287 | − | 16.4468i | −0.284485 | − | 0.537008i | ||||
\(939\) | 5.86525 | + | 22.6617i | 0.191405 | + | 0.739536i | ||||
\(940\) | −4.24713 | + | 7.35624i | −0.138526 | + | 0.239934i | ||||
\(941\) | 58.8920 | 1.91982 | 0.959912 | − | 0.280301i | \(-0.0904342\pi\) | ||||
0.959912 | + | 0.280301i | \(0.0904342\pi\) | |||||||
\(942\) | −2.51865 | − | 9.73136i | −0.0820620 | − | 0.317065i | ||||
\(943\) | −65.2929 | −2.12623 | ||||||||
\(944\) | −11.7196 | −0.381439 | ||||||||
\(945\) | −9.09965 | − | 10.3052i | −0.296012 | − | 0.335227i | ||||
\(946\) | 50.1572 | 1.63075 | ||||||||
\(947\) | 30.5720 | 0.993456 | 0.496728 | − | 0.867906i | \(-0.334535\pi\) | ||||
0.496728 | + | 0.867906i | \(0.334535\pi\) | |||||||
\(948\) | −3.51850 | − | 13.5945i | −0.114276 | − | 0.441529i | ||||
\(949\) | 0.000142290 | 0 | 4.61894e−6 | 0 | ||||||
\(950\) | 0.0260834 | − | 0.0451777i | 0.000846256 | − | 0.00146576i | ||||
\(951\) | 2.89956 | + | 11.2031i | 0.0940247 | + | 0.363285i | ||||
\(952\) | −19.1696 | − | 0.698616i | −0.621291 | − | 0.0226423i | ||||
\(953\) | 17.5334 | 0.567963 | 0.283981 | − | 0.958830i | \(-0.408345\pi\) | ||||
0.283981 | + | 0.958830i | \(0.408345\pi\) | |||||||
\(954\) | −0.394743 | + | 23.1121i | −0.0127803 | + | 0.748280i | ||||
\(955\) | −7.81652 | + | 13.5386i | −0.252937 | + | 0.438099i | ||||
\(956\) | −6.64051 | − | 11.5017i | −0.214770 | − | 0.371992i | ||||
\(957\) | −1.55513 | − | 6.00860i | −0.0502704 | − | 0.194231i | ||||
\(958\) | 12.4861 | + | 21.6265i | 0.403406 | + | 0.698721i | ||||
\(959\) | −25.6145 | + | 40.8534i | −0.827137 | + | 1.31923i | ||||
\(960\) | 1.66914 | + | 0.462557i | 0.0538714 | + | 0.0149290i | ||||
\(961\) | −30.3973 | −0.980559 | ||||||||
\(962\) | 0.172528 | − | 0.298827i | 0.00556252 | − | 0.00963457i | ||||
\(963\) | 11.3141 | + | 6.79242i | 0.364592 | + | 0.218883i | ||||
\(964\) | 9.30588 | + | 16.1183i | 0.299722 | + | 0.519134i | ||||
\(965\) | −0.893547 | + | 1.54767i | −0.0287643 | + | 0.0498212i | ||||
\(966\) | 5.22757 | + | 23.7297i | 0.168194 | + | 0.763492i | ||||
\(967\) | −8.32309 | − | 14.4160i | −0.267653 | − | 0.463588i | 0.700603 | − | 0.713552i | \(-0.252915\pi\) |
−0.968255 | + | 0.249964i | \(0.919581\pi\) | |||||||
\(968\) | 2.55780 | − | 4.43024i | 0.0822108 | − | 0.142393i | ||||
\(969\) | 0.164143 | + | 0.634202i | 0.00527303 | + | 0.0203735i | ||||
\(970\) | −0.0494422 | − | 0.0856364i | −0.00158749 | − | 0.00274962i | ||||
\(971\) | −3.77167 | − | 6.53273i | −0.121039 | − | 0.209645i | 0.799139 | − | 0.601147i | \(-0.205289\pi\) |
−0.920178 | + | 0.391501i | \(0.871956\pi\) | |||||||
\(972\) | −14.8714 | − | 4.67358i | −0.476999 | − | 0.149905i | ||||
\(973\) | 5.54019 | − | 8.83622i | 0.177610 | − | 0.283276i | ||||
\(974\) | 12.7183 | − | 22.0287i | 0.407520 | − | 0.705845i | ||||
\(975\) | 0.0870737 | + | 0.0241301i | 0.00278859 | + | 0.000772781i | ||||
\(976\) | −6.00985 | −0.192370 | ||||||||
\(977\) | 60.1051 | 1.92293 | 0.961467 | − | 0.274922i | \(-0.0886520\pi\) | ||||
0.961467 | + | 0.274922i | \(0.0886520\pi\) | |||||||
\(978\) | 5.87724 | − | 5.77771i | 0.187933 | − | 0.184751i | ||||
\(979\) | −0.505386 | + | 0.875354i | −0.0161522 | + | 0.0279764i | ||||
\(980\) | −3.04944 | − | 6.30087i | −0.0974109 | − | 0.201274i | ||||
\(981\) | −0.644583 | + | 37.7401i | −0.0205799 | + | 1.20495i | ||||
\(982\) | 10.3563 | + | 17.9377i | 0.330483 | + | 0.572414i | ||||
\(983\) | −8.86598 | − | 15.3563i | −0.282781 | − | 0.489791i | 0.689288 | − | 0.724488i | \(-0.257924\pi\) |
−0.972069 | + | 0.234697i | \(0.924590\pi\) | |||||||
\(984\) | 15.2095 | − | 14.9519i | 0.484861 | − | 0.476650i | ||||
\(985\) | −2.11401 | + | 3.66158i | −0.0673581 | + | 0.116668i | ||||
\(986\) | −3.23588 | − | 5.60471i | −0.103051 | − | 0.178490i | ||||
\(987\) | 28.7340 | − | 26.2594i | 0.914612 | − | 0.835847i | ||||
\(988\) | −0.00136068 | + | 0.00235677i | −4.32891e−5 | + | 7.49789e-5i | ||||
\(989\) | −33.1249 | − | 57.3739i | −1.05331 | − | 1.82438i | ||||
\(990\) | 10.5311 | − | 5.84265i | 0.334700 | − | 0.185692i | ||||
\(991\) | 5.39647 | − | 9.34695i | 0.171424 | − | 0.296916i | −0.767494 | − | 0.641057i | \(-0.778496\pi\) |
0.938918 | + | 0.344141i | \(0.111830\pi\) | |||||||
\(992\) | 0.776310 | 0.0246479 | ||||||||
\(993\) | −1.06803 | − | 4.12656i | −0.0338928 | − | 0.130952i | ||||
\(994\) | −3.21692 | − | 6.07242i | −0.102035 | − | 0.192605i | ||||
\(995\) | 1.70163 | + | 2.94730i | 0.0539451 | + | 0.0934357i | ||||
\(996\) | 2.40124 | + | 0.665437i | 0.0760861 | + | 0.0210852i | ||||
\(997\) | 24.3791 | + | 42.2259i | 0.772094 | + | 1.33731i | 0.936413 | + | 0.350899i | \(0.114124\pi\) |
−0.164319 | + | 0.986407i | \(0.552543\pi\) | |||||||
\(998\) | 1.04430 | − | 1.80878i | 0.0330567 | − | 0.0572559i | ||||
\(999\) | 9.74300 | − | 32.9600i | 0.308255 | − | 1.04281i |
(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 | 630.2.i.f.151.3 | yes | 12 | |
3.2 | odd | 2 | 1890.2.i.h.991.4 | 12 | |||
7.2 | even | 3 | 630.2.l.h.331.6 | yes | 12 | ||
9.4 | even | 3 | 630.2.l.h.571.6 | yes | 12 | ||
9.5 | odd | 6 | 1890.2.l.f.361.1 | 12 | |||
21.2 | odd | 6 | 1890.2.l.f.1801.1 | 12 | |||
63.23 | odd | 6 | 1890.2.i.h.1171.4 | 12 | |||
63.58 | even | 3 | inner | 630.2.i.f.121.3 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.i.f.121.3 | ✓ | 12 | 63.58 | even | 3 | inner | |
630.2.i.f.151.3 | yes | 12 | 1.1 | even | 1 | trivial | |
630.2.l.h.331.6 | yes | 12 | 7.2 | even | 3 | ||
630.2.l.h.571.6 | yes | 12 | 9.4 | even | 3 | ||
1890.2.i.h.991.4 | 12 | 3.2 | odd | 2 | |||
1890.2.i.h.1171.4 | 12 | 63.23 | odd | 6 | |||
1890.2.l.f.361.1 | 12 | 9.5 | odd | 6 | |||
1890.2.l.f.1801.1 | 12 | 21.2 | odd | 6 |