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 | 151.4 | ||
Root | \(1.36982 + 0.351572i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 630.151 |
Dual form | 630.2.i.f.121.4 |
$q$-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 | ||||||||
\(3\) | 0.478015 | − | 1.66478i | 0.275982 | − | 0.961163i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | −0.478015 | + | 1.66478i | −0.195149 | + | 0.679645i | ||||
\(7\) | −2.56238 | + | 0.658939i | −0.968489 | + | 0.249055i | ||||
\(8\) | −1.00000 | −0.353553 | ||||||||
\(9\) | −2.54300 | − | 1.59158i | −0.847668 | − | 0.530528i | ||||
\(10\) | 0.500000 | − | 0.866025i | 0.158114 | − | 0.273861i | ||||
\(11\) | 1.11651 | + | 1.93384i | 0.336639 | + | 0.583076i | 0.983798 | − | 0.179279i | \(-0.0573764\pi\) |
−0.647159 | + | 0.762355i | \(0.724043\pi\) | |||||||
\(12\) | 0.478015 | − | 1.66478i | 0.137991 | − | 0.480581i | ||||
\(13\) | 0.263417 | + | 0.456251i | 0.0730586 | + | 0.126541i | 0.900240 | − | 0.435393i | \(-0.143391\pi\) |
−0.827182 | + | 0.561934i | \(0.810057\pi\) | |||||||
\(14\) | 2.56238 | − | 0.658939i | 0.684825 | − | 0.176109i | ||||
\(15\) | 1.20274 | + | 1.24636i | 0.310545 | + | 0.321810i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | −2.56362 | + | 4.44032i | −0.621770 | + | 1.07694i | 0.367386 | + | 0.930068i | \(0.380253\pi\) |
−0.989156 | + | 0.146868i | \(0.953081\pi\) | |||||||
\(18\) | 2.54300 | + | 1.59158i | 0.599391 | + | 0.375140i | ||||
\(19\) | 0.263417 | + | 0.456251i | 0.0604319 | + | 0.104671i | 0.894659 | − | 0.446751i | \(-0.147419\pi\) |
−0.834227 | + | 0.551422i | \(0.814086\pi\) | |||||||
\(20\) | −0.500000 | + | 0.866025i | −0.111803 | + | 0.193649i | ||||
\(21\) | −0.127868 | + | 4.58079i | −0.0279032 | + | 0.999611i | ||||
\(22\) | −1.11651 | − | 1.93384i | −0.238040 | − | 0.412297i | ||||
\(23\) | −3.82704 | + | 6.62863i | −0.797993 | + | 1.38216i | 0.122929 | + | 0.992416i | \(0.460771\pi\) |
−0.920921 | + | 0.389749i | \(0.872562\pi\) | |||||||
\(24\) | −0.478015 | + | 1.66478i | −0.0975745 | + | 0.339822i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | −0.263417 | − | 0.456251i | −0.0516603 | − | 0.0894782i | ||||
\(27\) | −3.86524 | + | 3.47275i | −0.743865 | + | 0.668330i | ||||
\(28\) | −2.56238 | + | 0.658939i | −0.484245 | + | 0.124528i | ||||
\(29\) | 1.08341 | − | 1.87651i | 0.201183 | − | 0.348460i | −0.747727 | − | 0.664007i | \(-0.768855\pi\) |
0.948910 | + | 0.315547i | \(0.102188\pi\) | |||||||
\(30\) | −1.20274 | − | 1.24636i | −0.219589 | − | 0.227554i | ||||
\(31\) | 0.275498 | 0.0494810 | 0.0247405 | − | 0.999694i | \(-0.492124\pi\) | ||||
0.0247405 | + | 0.999694i | \(0.492124\pi\) | |||||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 3.75314 | − | 0.934332i | 0.653337 | − | 0.162646i | ||||
\(34\) | 2.56362 | − | 4.44032i | 0.439658 | − | 0.761509i | ||||
\(35\) | 0.710533 | − | 2.54856i | 0.120102 | − | 0.430785i | ||||
\(36\) | −2.54300 | − | 1.59158i | −0.423834 | − | 0.265264i | ||||
\(37\) | −1.07390 | − | 1.86005i | −0.176548 | − | 0.305791i | 0.764148 | − | 0.645041i | \(-0.223160\pi\) |
−0.940696 | + | 0.339251i | \(0.889827\pi\) | |||||||
\(38\) | −0.263417 | − | 0.456251i | −0.0427318 | − | 0.0740137i | ||||
\(39\) | 0.885476 | − | 0.220436i | 0.141790 | − | 0.0352981i | ||||
\(40\) | 0.500000 | − | 0.866025i | 0.0790569 | − | 0.136931i | ||||
\(41\) | 5.55378 | + | 9.61944i | 0.867355 | + | 1.50230i | 0.864689 | + | 0.502307i | \(0.167515\pi\) |
0.00266595 | + | 0.999996i | \(0.499151\pi\) | |||||||
\(42\) | 0.127868 | − | 4.58079i | 0.0197305 | − | 0.706831i | ||||
\(43\) | 1.51419 | − | 2.62265i | 0.230911 | − | 0.399950i | −0.727165 | − | 0.686463i | \(-0.759163\pi\) |
0.958077 | + | 0.286512i | \(0.0924959\pi\) | |||||||
\(44\) | 1.11651 | + | 1.93384i | 0.168320 | + | 0.291538i | ||||
\(45\) | 2.64985 | − | 1.40651i | 0.395017 | − | 0.209671i | ||||
\(46\) | 3.82704 | − | 6.62863i | 0.564266 | − | 0.977338i | ||||
\(47\) | −0.971625 | −0.141726 | −0.0708630 | − | 0.997486i | \(-0.522575\pi\) | ||||
−0.0708630 | + | 0.997486i | \(0.522575\pi\) | |||||||
\(48\) | 0.478015 | − | 1.66478i | 0.0689956 | − | 0.240291i | ||||
\(49\) | 6.13160 | − | 3.37690i | 0.875943 | − | 0.482415i | ||||
\(50\) | 0.500000 | + | 0.866025i | 0.0707107 | + | 0.122474i | ||||
\(51\) | 6.16672 | + | 6.39042i | 0.863514 | + | 0.894837i | ||||
\(52\) | 0.263417 | + | 0.456251i | 0.0365293 | + | 0.0632706i | ||||
\(53\) | −5.80545 | + | 10.0553i | −0.797440 | + | 1.38121i | 0.123838 | + | 0.992302i | \(0.460480\pi\) |
−0.921278 | + | 0.388905i | \(0.872854\pi\) | |||||||
\(54\) | 3.86524 | − | 3.47275i | 0.525992 | − | 0.472581i | ||||
\(55\) | −2.23301 | −0.301099 | ||||||||
\(56\) | 2.56238 | − | 0.658939i | 0.342413 | − | 0.0880544i | ||||
\(57\) | 0.885476 | − | 0.220436i | 0.117284 | − | 0.0291975i | ||||
\(58\) | −1.08341 | + | 1.87651i | −0.142258 | + | 0.246398i | ||||
\(59\) | −9.37789 | −1.22090 | −0.610449 | − | 0.792056i | \(-0.709011\pi\) | ||||
−0.610449 | + | 0.792056i | \(0.709011\pi\) | |||||||
\(60\) | 1.20274 | + | 1.24636i | 0.155273 | + | 0.160905i | ||||
\(61\) | 2.10645 | 0.269704 | 0.134852 | − | 0.990866i | \(-0.456944\pi\) | ||||
0.134852 | + | 0.990866i | \(0.456944\pi\) | |||||||
\(62\) | −0.275498 | −0.0349883 | ||||||||
\(63\) | 7.56490 | + | 2.40256i | 0.953088 | + | 0.302694i | ||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −0.526833 | −0.0653456 | ||||||||
\(66\) | −3.75314 | + | 0.934332i | −0.461979 | + | 0.115008i | ||||
\(67\) | 2.64711 | 0.323396 | 0.161698 | − | 0.986840i | \(-0.448303\pi\) | ||||
0.161698 | + | 0.986840i | \(0.448303\pi\) | |||||||
\(68\) | −2.56362 | + | 4.44032i | −0.310885 | + | 0.538468i | ||||
\(69\) | 9.20584 | + | 9.53977i | 1.10825 | + | 1.14845i | ||||
\(70\) | −0.710533 | + | 2.54856i | −0.0849250 | + | 0.304611i | ||||
\(71\) | −0.00533612 | −0.000633281 | −0.000316641 | − | 1.00000i | \(-0.500101\pi\) | ||||
−0.000316641 | 1.00000i | \(0.500101\pi\) | ||||||||
\(72\) | 2.54300 | + | 1.59158i | 0.299696 | + | 0.187570i | ||||
\(73\) | −2.19307 | + | 3.79852i | −0.256680 | + | 0.444583i | −0.965350 | − | 0.260957i | \(-0.915962\pi\) |
0.708670 | + | 0.705540i | \(0.249295\pi\) | |||||||
\(74\) | 1.07390 | + | 1.86005i | 0.124838 | + | 0.216227i | ||||
\(75\) | −1.68075 | + | 0.418418i | −0.194076 | + | 0.0483147i | ||||
\(76\) | 0.263417 | + | 0.456251i | 0.0302160 | + | 0.0523356i | ||||
\(77\) | −4.13520 | − | 4.21954i | −0.471250 | − | 0.480861i | ||||
\(78\) | −0.885476 | + | 0.220436i | −0.100260 | + | 0.0249595i | ||||
\(79\) | −12.0635 | −1.35725 | −0.678626 | − | 0.734484i | \(-0.737424\pi\) | ||||
−0.678626 | + | 0.734484i | \(0.737424\pi\) | |||||||
\(80\) | −0.500000 | + | 0.866025i | −0.0559017 | + | 0.0968246i | ||||
\(81\) | 3.93372 | + | 8.09480i | 0.437080 | + | 0.899422i | ||||
\(82\) | −5.55378 | − | 9.61944i | −0.613313 | − | 1.06229i | ||||
\(83\) | 7.55735 | − | 13.0897i | 0.829527 | − | 1.43678i | −0.0688830 | − | 0.997625i | \(-0.521944\pi\) |
0.898410 | − | 0.439158i | \(-0.144723\pi\) | |||||||
\(84\) | −0.127868 | + | 4.58079i | −0.0139516 | + | 0.499805i | ||||
\(85\) | −2.56362 | − | 4.44032i | −0.278064 | − | 0.481621i | ||||
\(86\) | −1.51419 | + | 2.62265i | −0.163279 | + | 0.282808i | ||||
\(87\) | −2.60610 | − | 2.70064i | −0.279404 | − | 0.289539i | ||||
\(88\) | −1.11651 | − | 1.93384i | −0.119020 | − | 0.206149i | ||||
\(89\) | 7.23714 | + | 12.5351i | 0.767135 | + | 1.32872i | 0.939110 | + | 0.343616i | \(0.111652\pi\) |
−0.171975 | + | 0.985101i | \(0.555015\pi\) | |||||||
\(90\) | −2.64985 | + | 1.40651i | −0.279319 | + | 0.148259i | ||||
\(91\) | −0.975615 | − | 0.995514i | −0.102272 | − | 0.104358i | ||||
\(92\) | −3.82704 | + | 6.62863i | −0.398996 | + | 0.691082i | ||||
\(93\) | 0.131693 | − | 0.458645i | 0.0136559 | − | 0.0475593i | ||||
\(94\) | 0.971625 | 0.100215 | ||||||||
\(95\) | −0.526833 | −0.0540520 | ||||||||
\(96\) | −0.478015 | + | 1.66478i | −0.0487872 | + | 0.169911i | ||||
\(97\) | −2.85868 | + | 4.95139i | −0.290255 | + | 0.502737i | −0.973870 | − | 0.227106i | \(-0.927074\pi\) |
0.683615 | + | 0.729843i | \(0.260407\pi\) | |||||||
\(98\) | −6.13160 | + | 3.37690i | −0.619385 | + | 0.341119i | ||||
\(99\) | 0.238598 | − | 6.69478i | 0.0239800 | − | 0.672851i | ||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | −1.87970 | − | 3.25574i | −0.187037 | − | 0.323958i | 0.757224 | − | 0.653156i | \(-0.226555\pi\) |
−0.944261 | + | 0.329197i | \(0.893222\pi\) | |||||||
\(102\) | −6.16672 | − | 6.39042i | −0.610597 | − | 0.632746i | ||||
\(103\) | −7.98356 | + | 13.8279i | −0.786643 | + | 1.36251i | 0.141369 | + | 0.989957i | \(0.454850\pi\) |
−0.928012 | + | 0.372549i | \(0.878484\pi\) | |||||||
\(104\) | −0.263417 | − | 0.456251i | −0.0258301 | − | 0.0447391i | ||||
\(105\) | −3.90315 | − | 2.40113i | −0.380908 | − | 0.234327i | ||||
\(106\) | 5.80545 | − | 10.0553i | 0.563875 | − | 0.976661i | ||||
\(107\) | −7.12712 | − | 12.3445i | −0.689005 | − | 1.19339i | −0.972160 | − | 0.234317i | \(-0.924715\pi\) |
0.283155 | − | 0.959074i | \(-0.408619\pi\) | |||||||
\(108\) | −3.86524 | + | 3.47275i | −0.371932 | + | 0.334165i | ||||
\(109\) | 3.63550 | − | 6.29687i | 0.348218 | − | 0.603131i | −0.637715 | − | 0.770272i | \(-0.720120\pi\) |
0.985933 | + | 0.167141i | \(0.0534537\pi\) | |||||||
\(110\) | 2.23301 | 0.212909 | ||||||||
\(111\) | −3.60992 | + | 0.898679i | −0.342639 | + | 0.0852988i | ||||
\(112\) | −2.56238 | + | 0.658939i | −0.242122 | + | 0.0622638i | ||||
\(113\) | −2.28801 | − | 3.96294i | −0.215238 | − | 0.372802i | 0.738108 | − | 0.674682i | \(-0.235719\pi\) |
−0.953346 | + | 0.301880i | \(0.902386\pi\) | |||||||
\(114\) | −0.885476 | + | 0.220436i | −0.0829324 | + | 0.0206458i | ||||
\(115\) | −3.82704 | − | 6.62863i | −0.356873 | − | 0.618123i | ||||
\(116\) | 1.08341 | − | 1.87651i | 0.100592 | − | 0.174230i | ||||
\(117\) | 0.0562924 | − | 1.57950i | 0.00520423 | − | 0.146025i | ||||
\(118\) | 9.37789 | 0.863305 | ||||||||
\(119\) | 3.64308 | − | 13.0671i | 0.333960 | − | 1.19786i | ||||
\(120\) | −1.20274 | − | 1.24636i | −0.109794 | − | 0.113777i | ||||
\(121\) | 3.00683 | − | 5.20798i | 0.273348 | − | 0.473453i | ||||
\(122\) | −2.10645 | −0.190709 | ||||||||
\(123\) | 18.6691 | − | 4.64760i | 1.68333 | − | 0.419060i | ||||
\(124\) | 0.275498 | 0.0247405 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −7.56490 | − | 2.40256i | −0.673935 | − | 0.214037i | ||||
\(127\) | −5.62615 | −0.499240 | −0.249620 | − | 0.968344i | \(-0.580306\pi\) | ||||
−0.249620 | + | 0.968344i | \(0.580306\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | −3.64234 | − | 3.77446i | −0.320690 | − | 0.332323i | ||||
\(130\) | 0.526833 | 0.0462063 | ||||||||
\(131\) | −4.12218 | + | 7.13982i | −0.360156 | + | 0.623809i | −0.987986 | − | 0.154541i | \(-0.950610\pi\) |
0.627830 | + | 0.778350i | \(0.283943\pi\) | |||||||
\(132\) | 3.75314 | − | 0.934332i | 0.326669 | − | 0.0813231i | ||||
\(133\) | −0.975615 | − | 0.995514i | −0.0845966 | − | 0.0863220i | ||||
\(134\) | −2.64711 | −0.228675 | ||||||||
\(135\) | −1.07487 | − | 5.08376i | −0.0925099 | − | 0.437541i | ||||
\(136\) | 2.56362 | − | 4.44032i | 0.219829 | − | 0.380755i | ||||
\(137\) | −2.02361 | − | 3.50500i | −0.172889 | − | 0.299452i | 0.766540 | − | 0.642197i | \(-0.221977\pi\) |
−0.939429 | + | 0.342745i | \(0.888643\pi\) | |||||||
\(138\) | −9.20584 | − | 9.53977i | −0.783653 | − | 0.812079i | ||||
\(139\) | 1.79315 | + | 3.10583i | 0.152093 | + | 0.263433i | 0.931997 | − | 0.362467i | \(-0.118065\pi\) |
−0.779904 | + | 0.625899i | \(0.784732\pi\) | |||||||
\(140\) | 0.710533 | − | 2.54856i | 0.0600510 | − | 0.215392i | ||||
\(141\) | −0.464452 | + | 1.61754i | −0.0391139 | + | 0.136222i | ||||
\(142\) | 0.00533612 | 0.000447798 | ||||||||
\(143\) | −0.588212 | + | 1.01881i | −0.0491888 | + | 0.0851975i | ||||
\(144\) | −2.54300 | − | 1.59158i | −0.211917 | − | 0.132632i | ||||
\(145\) | 1.08341 | + | 1.87651i | 0.0899720 | + | 0.155836i | ||||
\(146\) | 2.19307 | − | 3.79852i | 0.181500 | − | 0.314368i | ||||
\(147\) | −2.69081 | − | 11.8220i | −0.221934 | − | 0.975062i | ||||
\(148\) | −1.07390 | − | 1.86005i | −0.0882741 | − | 0.152895i | ||||
\(149\) | −5.72149 | + | 9.90991i | −0.468723 | + | 0.811852i | −0.999361 | − | 0.0357467i | \(-0.988619\pi\) |
0.530638 | + | 0.847599i | \(0.321952\pi\) | |||||||
\(150\) | 1.68075 | − | 0.418418i | 0.137233 | − | 0.0341637i | ||||
\(151\) | −5.65073 | − | 9.78735i | −0.459850 | − | 0.796484i | 0.539103 | − | 0.842240i | \(-0.318763\pi\) |
−0.998953 | + | 0.0457565i | \(0.985430\pi\) | |||||||
\(152\) | −0.263417 | − | 0.456251i | −0.0213659 | − | 0.0370068i | ||||
\(153\) | 13.5864 | − | 7.21154i | 1.09840 | − | 0.583018i | ||||
\(154\) | 4.13520 | + | 4.21954i | 0.333224 | + | 0.340020i | ||||
\(155\) | −0.137749 | + | 0.238589i | −0.0110643 | + | 0.0191639i | ||||
\(156\) | 0.885476 | − | 0.220436i | 0.0708948 | − | 0.0176490i | ||||
\(157\) | 13.8155 | 1.10260 | 0.551300 | − | 0.834307i | \(-0.314132\pi\) | ||||
0.551300 | + | 0.834307i | \(0.314132\pi\) | |||||||
\(158\) | 12.0635 | 0.959722 | ||||||||
\(159\) | 13.9649 | + | 14.4714i | 1.10749 | + | 1.14766i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | 5.43848 | − | 19.5069i | 0.428612 | − | 1.53736i | ||||
\(162\) | −3.93372 | − | 8.09480i | −0.309063 | − | 0.635988i | ||||
\(163\) | −1.39055 | − | 2.40850i | −0.108916 | − | 0.188649i | 0.806415 | − | 0.591350i | \(-0.201405\pi\) |
−0.915332 | + | 0.402701i | \(0.868071\pi\) | |||||||
\(164\) | 5.55378 | + | 9.61944i | 0.433678 | + | 0.751152i | ||||
\(165\) | −1.06741 | + | 3.71748i | −0.0830981 | + | 0.289405i | ||||
\(166\) | −7.55735 | + | 13.0897i | −0.586564 | + | 1.01596i | ||||
\(167\) | −12.1068 | − | 20.9696i | −0.936854 | − | 1.62268i | −0.771295 | − | 0.636478i | \(-0.780391\pi\) |
−0.165559 | − | 0.986200i | \(-0.552943\pi\) | |||||||
\(168\) | 0.127868 | − | 4.58079i | 0.00986526 | − | 0.353416i | ||||
\(169\) | 6.36122 | − | 11.0180i | 0.489325 | − | 0.847536i | ||||
\(170\) | 2.56362 | + | 4.44032i | 0.196621 | + | 0.340557i | ||||
\(171\) | 0.0562924 | − | 1.57950i | 0.00430479 | − | 0.120787i | ||||
\(172\) | 1.51419 | − | 2.62265i | 0.115456 | − | 0.199975i | ||||
\(173\) | 16.1579 | 1.22846 | 0.614230 | − | 0.789127i | \(-0.289467\pi\) | ||||
0.614230 | + | 0.789127i | \(0.289467\pi\) | |||||||
\(174\) | 2.60610 | + | 2.70064i | 0.197568 | + | 0.204735i | ||||
\(175\) | 1.85185 | + | 1.88962i | 0.139987 | + | 0.142842i | ||||
\(176\) | 1.11651 | + | 1.93384i | 0.0841598 | + | 0.145769i | ||||
\(177\) | −4.48278 | + | 15.6122i | −0.336946 | + | 1.17348i | ||||
\(178\) | −7.23714 | − | 12.5351i | −0.542447 | − | 0.939545i | ||||
\(179\) | 1.60232 | − | 2.77530i | 0.119763 | − | 0.207435i | −0.799911 | − | 0.600119i | \(-0.795120\pi\) |
0.919674 | + | 0.392684i | \(0.128453\pi\) | |||||||
\(180\) | 2.64985 | − | 1.40651i | 0.197508 | − | 0.104835i | ||||
\(181\) | −12.5197 | −0.930580 | −0.465290 | − | 0.885158i | \(-0.654050\pi\) | ||||
−0.465290 | + | 0.885158i | \(0.654050\pi\) | |||||||
\(182\) | 0.975615 | + | 0.995514i | 0.0723174 | + | 0.0737924i | ||||
\(183\) | 1.00692 | − | 3.50679i | 0.0744334 | − | 0.259229i | ||||
\(184\) | 3.82704 | − | 6.62863i | 0.282133 | − | 0.488669i | ||||
\(185\) | 2.14780 | 0.157910 | ||||||||
\(186\) | −0.131693 | + | 0.458645i | −0.00965616 | + | 0.0336295i | ||||
\(187\) | −11.4492 | −0.837248 | ||||||||
\(188\) | −0.971625 | −0.0708630 | ||||||||
\(189\) | 7.61588 | − | 11.4455i | 0.553974 | − | 0.832534i | ||||
\(190\) | 0.526833 | 0.0382205 | ||||||||
\(191\) | 7.44740 | 0.538875 | 0.269437 | − | 0.963018i | \(-0.413162\pi\) | ||||
0.269437 | + | 0.963018i | \(0.413162\pi\) | |||||||
\(192\) | 0.478015 | − | 1.66478i | 0.0344978 | − | 0.120145i | ||||
\(193\) | 14.6540 | 1.05482 | 0.527409 | − | 0.849612i | \(-0.323164\pi\) | ||||
0.527409 | + | 0.849612i | \(0.323164\pi\) | |||||||
\(194\) | 2.85868 | − | 4.95139i | 0.205242 | − | 0.355489i | ||||
\(195\) | −0.251834 | + | 0.877063i | −0.0180342 | + | 0.0628078i | ||||
\(196\) | 6.13160 | − | 3.37690i | 0.437971 | − | 0.241207i | ||||
\(197\) | −25.8629 | −1.84266 | −0.921328 | − | 0.388787i | \(-0.872894\pi\) | ||||
−0.921328 | + | 0.388787i | \(0.872894\pi\) | |||||||
\(198\) | −0.238598 | + | 6.69478i | −0.0169564 | + | 0.475778i | ||||
\(199\) | −13.4274 | + | 23.2570i | −0.951844 | + | 1.64864i | −0.210415 | + | 0.977612i | \(0.567481\pi\) |
−0.741430 | + | 0.671031i | \(0.765852\pi\) | |||||||
\(200\) | 0.500000 | + | 0.866025i | 0.0353553 | + | 0.0612372i | ||||
\(201\) | 1.26536 | − | 4.40686i | 0.0892516 | − | 0.310836i | ||||
\(202\) | 1.87970 | + | 3.25574i | 0.132255 | + | 0.229073i | ||||
\(203\) | −1.53959 | + | 5.52224i | −0.108058 | + | 0.387585i | ||||
\(204\) | 6.16672 | + | 6.39042i | 0.431757 | + | 0.447419i | ||||
\(205\) | −11.1076 | −0.775786 | ||||||||
\(206\) | 7.98356 | − | 13.8279i | 0.556241 | − | 0.963437i | ||||
\(207\) | 20.2822 | − | 10.7656i | 1.40971 | − | 0.748258i | ||||
\(208\) | 0.263417 | + | 0.456251i | 0.0182647 | + | 0.0316353i | ||||
\(209\) | −0.588212 | + | 1.01881i | −0.0406875 | + | 0.0704728i | ||||
\(210\) | 3.90315 | + | 2.40113i | 0.269343 | + | 0.165694i | ||||
\(211\) | −6.94801 | − | 12.0343i | −0.478321 | − | 0.828476i | 0.521370 | − | 0.853330i | \(-0.325421\pi\) |
−0.999691 | + | 0.0248548i | \(0.992088\pi\) | |||||||
\(212\) | −5.80545 | + | 10.0553i | −0.398720 | + | 0.690604i | ||||
\(213\) | −0.00255075 | + | 0.00888349i | −0.000174774 | + | 0.000608687i | ||||
\(214\) | 7.12712 | + | 12.3445i | 0.487200 | + | 0.843855i | ||||
\(215\) | 1.51419 | + | 2.62265i | 0.103267 | + | 0.178863i | ||||
\(216\) | 3.86524 | − | 3.47275i | 0.262996 | − | 0.236290i | ||||
\(217\) | −0.705932 | + | 0.181537i | −0.0479218 | + | 0.0123235i | ||||
\(218\) | −3.63550 | + | 6.29687i | −0.246227 | + | 0.426478i | ||||
\(219\) | 5.27538 | + | 5.46674i | 0.356477 | + | 0.369408i | ||||
\(220\) | −2.23301 | −0.150550 | ||||||||
\(221\) | −2.70120 | −0.181703 | ||||||||
\(222\) | 3.60992 | − | 0.898679i | 0.242282 | − | 0.0603154i | ||||
\(223\) | 8.66935 | − | 15.0158i | 0.580543 | − | 1.00553i | −0.414872 | − | 0.909880i | \(-0.636174\pi\) |
0.995415 | − | 0.0956497i | \(-0.0304929\pi\) | |||||||
\(224\) | 2.56238 | − | 0.658939i | 0.171206 | − | 0.0440272i | ||||
\(225\) | −0.106850 | + | 2.99810i | −0.00712337 | + | 0.199873i | ||||
\(226\) | 2.28801 | + | 3.96294i | 0.152196 | + | 0.263611i | ||||
\(227\) | −11.4437 | − | 19.8210i | −0.759543 | − | 1.31557i | −0.943084 | − | 0.332554i | \(-0.892090\pi\) |
0.183542 | − | 0.983012i | \(-0.441244\pi\) | |||||||
\(228\) | 0.885476 | − | 0.220436i | 0.0586421 | − | 0.0145988i | ||||
\(229\) | −7.16344 | + | 12.4074i | −0.473374 | + | 0.819907i | −0.999535 | − | 0.0304772i | \(-0.990297\pi\) |
0.526162 | + | 0.850385i | \(0.323631\pi\) | |||||||
\(230\) | 3.82704 | + | 6.62863i | 0.252347 | + | 0.437079i | ||||
\(231\) | −9.00130 | + | 4.86720i | −0.592242 | + | 0.320238i | ||||
\(232\) | −1.08341 | + | 1.87651i | −0.0711291 | + | 0.123199i | ||||
\(233\) | −10.0050 | − | 17.3291i | −0.655448 | − | 1.13527i | −0.981781 | − | 0.190015i | \(-0.939146\pi\) |
0.326333 | − | 0.945255i | \(-0.394187\pi\) | |||||||
\(234\) | −0.0562924 | + | 1.57950i | −0.00367995 | + | 0.103255i | ||||
\(235\) | 0.485812 | − | 0.841452i | 0.0316909 | − | 0.0548903i | ||||
\(236\) | −9.37789 | −0.610449 | ||||||||
\(237\) | −5.76655 | + | 20.0831i | −0.374577 | + | 1.30454i | ||||
\(238\) | −3.64308 | + | 13.0671i | −0.236146 | + | 0.847013i | ||||
\(239\) | −6.36973 | − | 11.0327i | −0.412023 | − | 0.713645i | 0.583088 | − | 0.812409i | \(-0.301844\pi\) |
−0.995111 | + | 0.0987640i | \(0.968511\pi\) | |||||||
\(240\) | 1.20274 | + | 1.24636i | 0.0776363 | + | 0.0804525i | ||||
\(241\) | 6.93512 | + | 12.0120i | 0.446731 | + | 0.773760i | 0.998171 | − | 0.0604542i | \(-0.0192549\pi\) |
−0.551440 | + | 0.834214i | \(0.685922\pi\) | |||||||
\(242\) | −3.00683 | + | 5.20798i | −0.193286 | + | 0.334782i | ||||
\(243\) | 15.3565 | − | 2.67936i | 0.985118 | − | 0.171881i | ||||
\(244\) | 2.10645 | 0.134852 | ||||||||
\(245\) | −0.141315 | + | 6.99857i | −0.00902829 | + | 0.447122i | ||||
\(246\) | −18.6691 | + | 4.64760i | −1.19030 | + | 0.296320i | ||||
\(247\) | −0.138777 | + | 0.240368i | −0.00883015 | + | 0.0152943i | ||||
\(248\) | −0.275498 | −0.0174942 | ||||||||
\(249\) | −18.1790 | − | 18.8384i | −1.15205 | − | 1.19384i | ||||
\(250\) | −1.00000 | −0.0632456 | ||||||||
\(251\) | 16.0713 | 1.01441 | 0.507206 | − | 0.861825i | \(-0.330678\pi\) | ||||
0.507206 | + | 0.861825i | \(0.330678\pi\) | |||||||
\(252\) | 7.56490 | + | 2.40256i | 0.476544 | + | 0.151347i | ||||
\(253\) | −17.0916 | −1.07454 | ||||||||
\(254\) | 5.62615 | 0.353016 | ||||||||
\(255\) | −8.61763 | + | 2.14533i | −0.539657 | + | 0.134346i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −4.64364 | + | 8.04303i | −0.289662 | + | 0.501710i | −0.973729 | − | 0.227709i | \(-0.926876\pi\) |
0.684067 | + | 0.729420i | \(0.260210\pi\) | |||||||
\(258\) | 3.64234 | + | 3.77446i | 0.226762 | + | 0.234988i | ||||
\(259\) | 3.97740 | + | 4.05853i | 0.247144 | + | 0.252185i | ||||
\(260\) | −0.526833 | −0.0326728 | ||||||||
\(261\) | −5.74173 | + | 3.04765i | −0.355404 | + | 0.188645i | ||||
\(262\) | 4.12218 | − | 7.13982i | 0.254669 | − | 0.441100i | ||||
\(263\) | 14.2793 | + | 24.7324i | 0.880498 | + | 1.52507i | 0.850789 | + | 0.525508i | \(0.176125\pi\) |
0.0297091 | + | 0.999559i | \(0.490542\pi\) | |||||||
\(264\) | −3.75314 | + | 0.934332i | −0.230990 | + | 0.0575041i | ||||
\(265\) | −5.80545 | − | 10.0553i | −0.356626 | − | 0.617695i | ||||
\(266\) | 0.975615 | + | 0.995514i | 0.0598188 | + | 0.0610389i | ||||
\(267\) | 24.3277 | − | 6.05630i | 1.48883 | − | 0.370639i | ||||
\(268\) | 2.64711 | 0.161698 | ||||||||
\(269\) | −5.70674 | + | 9.88437i | −0.347946 | + | 0.602660i | −0.985884 | − | 0.167427i | \(-0.946454\pi\) |
0.637938 | + | 0.770087i | \(0.279787\pi\) | |||||||
\(270\) | 1.07487 | + | 5.08376i | 0.0654144 | + | 0.309388i | ||||
\(271\) | 5.25046 | + | 9.09407i | 0.318943 | + | 0.552425i | 0.980268 | − | 0.197674i | \(-0.0633388\pi\) |
−0.661325 | + | 0.750100i | \(0.730005\pi\) | |||||||
\(272\) | −2.56362 | + | 4.44032i | −0.155442 | + | 0.269234i | ||||
\(273\) | −2.12367 | + | 1.14832i | −0.128531 | + | 0.0694993i | ||||
\(274\) | 2.02361 | + | 3.50500i | 0.122251 | + | 0.211745i | ||||
\(275\) | 1.11651 | − | 1.93384i | 0.0673278 | − | 0.116615i | ||||
\(276\) | 9.20584 | + | 9.53977i | 0.554126 | + | 0.574227i | ||||
\(277\) | 14.8161 | + | 25.6623i | 0.890214 | + | 1.54190i | 0.839619 | + | 0.543176i | \(0.182778\pi\) |
0.0505950 | + | 0.998719i | \(0.483888\pi\) | |||||||
\(278\) | −1.79315 | − | 3.10583i | −0.107546 | − | 0.186275i | ||||
\(279\) | −0.700593 | − | 0.438479i | −0.0419434 | − | 0.0262510i | ||||
\(280\) | −0.710533 | + | 2.54856i | −0.0424625 | + | 0.152305i | ||||
\(281\) | −5.70650 | + | 9.88395i | −0.340421 | + | 0.589627i | −0.984511 | − | 0.175323i | \(-0.943903\pi\) |
0.644090 | + | 0.764950i | \(0.277236\pi\) | |||||||
\(282\) | 0.464452 | − | 1.61754i | 0.0276577 | − | 0.0963233i | ||||
\(283\) | 10.2884 | 0.611581 | 0.305791 | − | 0.952099i | \(-0.401079\pi\) | ||||
0.305791 | + | 0.952099i | \(0.401079\pi\) | |||||||
\(284\) | −0.00533612 | −0.000316641 | ||||||||
\(285\) | −0.251834 | + | 0.877063i | −0.0149174 | + | 0.0519527i | ||||
\(286\) | 0.588212 | − | 1.01881i | 0.0347817 | − | 0.0602437i | ||||
\(287\) | −20.5695 | − | 20.9891i | −1.21418 | − | 1.23895i | ||||
\(288\) | 2.54300 | + | 1.59158i | 0.149848 | + | 0.0937850i | ||||
\(289\) | −4.64432 | − | 8.04420i | −0.273195 | − | 0.473188i | ||||
\(290\) | −1.08341 | − | 1.87651i | −0.0636198 | − | 0.110193i | ||||
\(291\) | 6.87649 | + | 7.12593i | 0.403107 | + | 0.417729i | ||||
\(292\) | −2.19307 | + | 3.79852i | −0.128340 | + | 0.222291i | ||||
\(293\) | 3.97898 | + | 6.89179i | 0.232454 | + | 0.402623i | 0.958530 | − | 0.284992i | \(-0.0919911\pi\) |
−0.726076 | + | 0.687615i | \(0.758658\pi\) | |||||||
\(294\) | 2.69081 | + | 11.8220i | 0.156931 | + | 0.689473i | ||||
\(295\) | 4.68895 | − | 8.12149i | 0.273001 | − | 0.472852i | ||||
\(296\) | 1.07390 | + | 1.86005i | 0.0624192 | + | 0.108113i | ||||
\(297\) | −11.0313 | − | 3.59742i | −0.640101 | − | 0.208744i | ||||
\(298\) | 5.72149 | − | 9.90991i | 0.331437 | − | 0.574066i | ||||
\(299\) | −4.03242 | −0.233201 | ||||||||
\(300\) | −1.68075 | + | 0.418418i | −0.0970382 | + | 0.0241574i | ||||
\(301\) | −2.15176 | + | 7.71799i | −0.124025 | + | 0.444857i | ||||
\(302\) | 5.65073 | + | 9.78735i | 0.325163 | + | 0.563199i | ||||
\(303\) | −6.31863 | + | 1.57300i | −0.362996 | + | 0.0903666i | ||||
\(304\) | 0.263417 | + | 0.456251i | 0.0151080 | + | 0.0261678i | ||||
\(305\) | −1.05323 | + | 1.82424i | −0.0603076 | + | 0.104456i | ||||
\(306\) | −13.5864 | + | 7.21154i | −0.776685 | + | 0.412256i | ||||
\(307\) | 0.923980 | 0.0527343 | 0.0263672 | − | 0.999652i | \(-0.491606\pi\) | ||||
0.0263672 | + | 0.999652i | \(0.491606\pi\) | |||||||
\(308\) | −4.13520 | − | 4.21954i | −0.235625 | − | 0.240431i | ||||
\(309\) | 19.2042 | + | 19.9008i | 1.09249 | + | 1.13212i | ||||
\(310\) | 0.137749 | − | 0.238589i | 0.00782363 | − | 0.0135509i | ||||
\(311\) | 15.8576 | 0.899203 | 0.449602 | − | 0.893229i | \(-0.351566\pi\) | ||||
0.449602 | + | 0.893229i | \(0.351566\pi\) | |||||||
\(312\) | −0.885476 | + | 0.220436i | −0.0501302 | + | 0.0124798i | ||||
\(313\) | −33.0817 | −1.86989 | −0.934945 | − | 0.354791i | \(-0.884552\pi\) | ||||
−0.934945 | + | 0.354791i | \(0.884552\pi\) | |||||||
\(314\) | −13.8155 | −0.779656 | ||||||||
\(315\) | −5.86313 | + | 5.35011i | −0.330350 | + | 0.301445i | ||||
\(316\) | −12.0635 | −0.678626 | ||||||||
\(317\) | 28.3359 | 1.59150 | 0.795750 | − | 0.605625i | \(-0.207077\pi\) | ||||
0.795750 | + | 0.605625i | \(0.207077\pi\) | |||||||
\(318\) | −13.9649 | − | 14.4714i | −0.783110 | − | 0.811517i | ||||
\(319\) | 4.83852 | 0.270905 | ||||||||
\(320\) | −0.500000 | + | 0.866025i | −0.0279508 | + | 0.0484123i | ||||
\(321\) | −23.9578 | + | 5.96423i | −1.33720 | + | 0.332891i | ||||
\(322\) | −5.43848 | + | 19.5069i | −0.303074 | + | 1.08707i | ||||
\(323\) | −2.70120 | −0.150299 | ||||||||
\(324\) | 3.93372 | + | 8.09480i | 0.218540 | + | 0.449711i | ||||
\(325\) | 0.263417 | − | 0.456251i | 0.0146117 | − | 0.0253083i | ||||
\(326\) | 1.39055 | + | 2.40850i | 0.0770155 | + | 0.133395i | ||||
\(327\) | −8.74510 | − | 9.06232i | −0.483605 | − | 0.501147i | ||||
\(328\) | −5.55378 | − | 9.61944i | −0.306656 | − | 0.531144i | ||||
\(329\) | 2.48967 | − | 0.640241i | 0.137260 | − | 0.0352976i | ||||
\(330\) | 1.06741 | − | 3.71748i | 0.0587592 | − | 0.204640i | ||||
\(331\) | 27.1791 | 1.49390 | 0.746949 | − | 0.664881i | \(-0.231518\pi\) | ||||
0.746949 | + | 0.664881i | \(0.231518\pi\) | |||||||
\(332\) | 7.55735 | − | 13.0897i | 0.414763 | − | 0.718391i | ||||
\(333\) | −0.229494 | + | 6.43932i | −0.0125762 | + | 0.352873i | ||||
\(334\) | 12.1068 | + | 20.9696i | 0.662456 | + | 1.14741i | ||||
\(335\) | −1.32356 | + | 2.29246i | −0.0723135 | + | 0.125251i | ||||
\(336\) | −0.127868 | + | 4.58079i | −0.00697580 | + | 0.249903i | ||||
\(337\) | 13.5294 | + | 23.4336i | 0.736993 | + | 1.27651i | 0.953844 | + | 0.300304i | \(0.0970881\pi\) |
−0.216851 | + | 0.976205i | \(0.569579\pi\) | |||||||
\(338\) | −6.36122 | + | 11.0180i | −0.346005 | + | 0.599298i | ||||
\(339\) | −7.69114 | + | 1.91469i | −0.417726 | + | 0.103991i | ||||
\(340\) | −2.56362 | − | 4.44032i | −0.139032 | − | 0.240810i | ||||
\(341\) | 0.307596 | + | 0.532771i | 0.0166572 | + | 0.0288512i | ||||
\(342\) | −0.0562924 | + | 1.57950i | −0.00304394 | + | 0.0854094i | ||||
\(343\) | −13.4863 | + | 12.6933i | −0.728193 | + | 0.685372i | ||||
\(344\) | −1.51419 | + | 2.62265i | −0.0816395 | + | 0.141404i | ||||
\(345\) | −12.8646 | + | 3.20260i | −0.692607 | + | 0.172422i | ||||
\(346\) | −16.1579 | −0.868652 | ||||||||
\(347\) | 22.7656 | 1.22212 | 0.611061 | − | 0.791583i | \(-0.290743\pi\) | ||||
0.611061 | + | 0.791583i | \(0.290743\pi\) | |||||||
\(348\) | −2.60610 | − | 2.70064i | −0.139702 | − | 0.144769i | ||||
\(349\) | −15.7736 | + | 27.3207i | −0.844341 | + | 1.46244i | 0.0418517 | + | 0.999124i | \(0.486674\pi\) |
−0.886192 | + | 0.463317i | \(0.846659\pi\) | |||||||
\(350\) | −1.85185 | − | 1.88962i | −0.0989855 | − | 0.101004i | ||||
\(351\) | −2.60261 | − | 0.848739i | −0.138917 | − | 0.0453023i | ||||
\(352\) | −1.11651 | − | 1.93384i | −0.0595100 | − | 0.103074i | ||||
\(353\) | 11.6980 | + | 20.2615i | 0.622622 | + | 1.07841i | 0.988996 | + | 0.147945i | \(0.0472657\pi\) |
−0.366374 | + | 0.930468i | \(0.619401\pi\) | |||||||
\(354\) | 4.48278 | − | 15.6122i | 0.238257 | − | 0.829777i | ||||
\(355\) | 0.00266806 | − | 0.00462122i | 0.000141606 | − | 0.000245269i | ||||
\(356\) | 7.23714 | + | 12.5351i | 0.383568 | + | 0.664359i | ||||
\(357\) | −20.0124 | − | 12.3112i | −1.05917 | − | 0.651578i | ||||
\(358\) | −1.60232 | + | 2.77530i | −0.0846851 | + | 0.146679i | ||||
\(359\) | −13.0864 | − | 22.6664i | −0.690676 | − | 1.19629i | −0.971617 | − | 0.236561i | \(-0.923980\pi\) |
0.280941 | − | 0.959725i | \(-0.409353\pi\) | |||||||
\(360\) | −2.64985 | + | 1.40651i | −0.139660 | + | 0.0741297i | ||||
\(361\) | 9.36122 | − | 16.2141i | 0.492696 | − | 0.853374i | ||||
\(362\) | 12.5197 | 0.658020 | ||||||||
\(363\) | −7.23285 | − | 7.49521i | −0.379626 | − | 0.393397i | ||||
\(364\) | −0.975615 | − | 0.995514i | −0.0511361 | − | 0.0521791i | ||||
\(365\) | −2.19307 | − | 3.79852i | −0.114791 | − | 0.198823i | ||||
\(366\) | −1.00692 | + | 3.50679i | −0.0526324 | + | 0.183303i | ||||
\(367\) | 15.3517 | + | 26.5900i | 0.801354 | + | 1.38799i | 0.918725 | + | 0.394898i | \(0.129220\pi\) |
−0.117371 | + | 0.993088i | \(0.537447\pi\) | |||||||
\(368\) | −3.82704 | + | 6.62863i | −0.199498 | + | 0.345541i | ||||
\(369\) | 1.18685 | − | 33.3016i | 0.0617849 | − | 1.73361i | ||||
\(370\) | −2.14780 | −0.111659 | ||||||||
\(371\) | 8.24993 | − | 29.5911i | 0.428315 | − | 1.53629i | ||||
\(372\) | 0.131693 | − | 0.458645i | 0.00682794 | − | 0.0237796i | ||||
\(373\) | 7.19286 | − | 12.4584i | 0.372432 | − | 0.645071i | −0.617507 | − | 0.786565i | \(-0.711857\pi\) |
0.989939 | + | 0.141494i | \(0.0451907\pi\) | |||||||
\(374\) | 11.4492 | 0.592024 | ||||||||
\(375\) | 0.478015 | − | 1.66478i | 0.0246846 | − | 0.0859690i | ||||
\(376\) | 0.971625 | 0.0501077 | ||||||||
\(377\) | 1.14155 | 0.0587927 | ||||||||
\(378\) | −7.61588 | + | 11.4455i | −0.391719 | + | 0.588690i | ||||
\(379\) | −2.90593 | −0.149268 | −0.0746338 | − | 0.997211i | \(-0.523779\pi\) | ||||
−0.0746338 | + | 0.997211i | \(0.523779\pi\) | |||||||
\(380\) | −0.526833 | −0.0270260 | ||||||||
\(381\) | −2.68939 | + | 9.36632i | −0.137782 | + | 0.479851i | ||||
\(382\) | −7.44740 | −0.381042 | ||||||||
\(383\) | −6.18254 | + | 10.7085i | −0.315913 | + | 0.547178i | −0.979631 | − | 0.200805i | \(-0.935644\pi\) |
0.663718 | + | 0.747983i | \(0.268978\pi\) | |||||||
\(384\) | −0.478015 | + | 1.66478i | −0.0243936 | + | 0.0849556i | ||||
\(385\) | 5.72183 | − | 1.47142i | 0.291611 | − | 0.0749904i | ||||
\(386\) | −14.6540 | −0.745869 | ||||||||
\(387\) | −8.02475 | + | 4.25945i | −0.407921 | + | 0.216520i | ||||
\(388\) | −2.85868 | + | 4.95139i | −0.145128 | + | 0.251369i | ||||
\(389\) | 3.54720 | + | 6.14393i | 0.179850 | + | 0.311510i | 0.941829 | − | 0.336092i | \(-0.109105\pi\) |
−0.761979 | + | 0.647602i | \(0.775772\pi\) | |||||||
\(390\) | 0.251834 | − | 0.877063i | 0.0127521 | − | 0.0444118i | ||||
\(391\) | −19.6222 | − | 33.9866i | −0.992336 | − | 1.71878i | ||||
\(392\) | −6.13160 | + | 3.37690i | −0.309693 | + | 0.170559i | ||||
\(393\) | 9.91579 | + | 10.2755i | 0.500185 | + | 0.518329i | ||||
\(394\) | 25.8629 | 1.30295 | ||||||||
\(395\) | 6.03176 | − | 10.4473i | 0.303491 | − | 0.525661i | ||||
\(396\) | 0.238598 | − | 6.69478i | 0.0119900 | − | 0.336426i | ||||
\(397\) | 16.2398 | + | 28.1281i | 0.815050 | + | 1.41171i | 0.909292 | + | 0.416158i | \(0.136624\pi\) |
−0.0942422 | + | 0.995549i | \(0.530043\pi\) | |||||||
\(398\) | 13.4274 | − | 23.2570i | 0.673056 | − | 1.16577i | ||||
\(399\) | −2.12367 | + | 1.14832i | −0.106317 | + | 0.0574877i | ||||
\(400\) | −0.500000 | − | 0.866025i | −0.0250000 | − | 0.0433013i | ||||
\(401\) | 11.6659 | − | 20.2060i | 0.582568 | − | 1.00904i | −0.412605 | − | 0.910910i | \(-0.635381\pi\) |
0.995174 | − | 0.0981281i | \(-0.0312855\pi\) | |||||||
\(402\) | −1.26536 | + | 4.40686i | −0.0631104 | + | 0.219794i | ||||
\(403\) | 0.0725709 | + | 0.125696i | 0.00361501 | + | 0.00626139i | ||||
\(404\) | −1.87970 | − | 3.25574i | −0.0935187 | − | 0.161979i | ||||
\(405\) | −8.97717 | − | 0.640696i | −0.446079 | − | 0.0318364i | ||||
\(406\) | 1.53959 | − | 5.52224i | 0.0764087 | − | 0.274064i | ||||
\(407\) | 2.39803 | − | 4.15352i | 0.118866 | − | 0.205882i | ||||
\(408\) | −6.16672 | − | 6.39042i | −0.305298 | − | 0.316373i | ||||
\(409\) | 15.0197 | 0.742674 | 0.371337 | − | 0.928498i | \(-0.378899\pi\) | ||||
0.371337 | + | 0.928498i | \(0.378899\pi\) | |||||||
\(410\) | 11.1076 | 0.548564 | ||||||||
\(411\) | −6.80237 | + | 1.69343i | −0.335536 | + | 0.0835307i | ||||
\(412\) | −7.98356 | + | 13.8279i | −0.393322 | + | 0.681253i | ||||
\(413\) | 24.0297 | − | 6.17946i | 1.18243 | − | 0.304071i | ||||
\(414\) | −20.2822 | + | 10.7656i | −0.996815 | + | 0.529098i | ||||
\(415\) | 7.55735 | + | 13.0897i | 0.370976 | + | 0.642549i | ||||
\(416\) | −0.263417 | − | 0.456251i | −0.0129151 | − | 0.0223695i | ||||
\(417\) | 6.02768 | − | 1.50057i | 0.295177 | − | 0.0734833i | ||||
\(418\) | 0.588212 | − | 1.01881i | 0.0287704 | − | 0.0498318i | ||||
\(419\) | 13.3107 | + | 23.0548i | 0.650270 | + | 1.12630i | 0.983057 | + | 0.183298i | \(0.0586774\pi\) |
−0.332788 | + | 0.943002i | \(0.607989\pi\) | |||||||
\(420\) | −3.90315 | − | 2.40113i | −0.190454 | − | 0.117163i | ||||
\(421\) | 7.36383 | − | 12.7545i | 0.358891 | − | 0.621617i | −0.628885 | − | 0.777498i | \(-0.716488\pi\) |
0.987776 | + | 0.155881i | \(0.0498216\pi\) | |||||||
\(422\) | 6.94801 | + | 12.0343i | 0.338224 | + | 0.585821i | ||||
\(423\) | 2.47084 | + | 1.54642i | 0.120137 | + | 0.0751896i | ||||
\(424\) | 5.80545 | − | 10.0553i | 0.281938 | − | 0.488330i | ||||
\(425\) | 5.12724 | 0.248708 | ||||||||
\(426\) | 0.00255075 | − | 0.00888349i | 0.000123584 | − | 0.000430406i | ||||
\(427\) | −5.39753 | + | 1.38802i | −0.261205 | + | 0.0671711i | ||||
\(428\) | −7.12712 | − | 12.3445i | −0.344502 | − | 0.596696i | ||||
\(429\) | 1.41493 | + | 1.46625i | 0.0683134 | + | 0.0707914i | ||||
\(430\) | −1.51419 | − | 2.62265i | −0.0730206 | − | 0.126475i | ||||
\(431\) | 10.1685 | − | 17.6124i | 0.489800 | − | 0.848358i | −0.510131 | − | 0.860096i | \(-0.670403\pi\) |
0.999931 | + | 0.0117385i | \(0.00373657\pi\) | |||||||
\(432\) | −3.86524 | + | 3.47275i | −0.185966 | + | 0.167083i | ||||
\(433\) | 3.86021 | 0.185510 | 0.0927549 | − | 0.995689i | \(-0.470433\pi\) | ||||
0.0927549 | + | 0.995689i | \(0.470433\pi\) | |||||||
\(434\) | 0.705932 | − | 0.181537i | 0.0338858 | − | 0.00871403i | ||||
\(435\) | 3.64187 | − | 0.906633i | 0.174614 | − | 0.0434697i | ||||
\(436\) | 3.63550 | − | 6.29687i | 0.174109 | − | 0.301565i | ||||
\(437\) | −4.03242 | −0.192897 | ||||||||
\(438\) | −5.27538 | − | 5.46674i | −0.252068 | − | 0.261211i | ||||
\(439\) | −21.8678 | −1.04369 | −0.521846 | − | 0.853040i | \(-0.674756\pi\) | ||||
−0.521846 | + | 0.853040i | \(0.674756\pi\) | |||||||
\(440\) | 2.23301 | 0.106455 | ||||||||
\(441\) | −20.9673 | − | 1.17148i | −0.998443 | − | 0.0557846i | ||||
\(442\) | 2.70120 | 0.128483 | ||||||||
\(443\) | 13.4669 | 0.639830 | 0.319915 | − | 0.947446i | \(-0.396346\pi\) | ||||
0.319915 | + | 0.947446i | \(0.396346\pi\) | |||||||
\(444\) | −3.60992 | + | 0.898679i | −0.171319 | + | 0.0426494i | ||||
\(445\) | −14.4743 | −0.686147 | ||||||||
\(446\) | −8.66935 | + | 15.0158i | −0.410506 | + | 0.711017i | ||||
\(447\) | 13.7629 | + | 14.2621i | 0.650962 | + | 0.674576i | ||||
\(448\) | −2.56238 | + | 0.658939i | −0.121061 | + | 0.0311319i | ||||
\(449\) | 1.08899 | 0.0513928 | 0.0256964 | − | 0.999670i | \(-0.491820\pi\) | ||||
0.0256964 | + | 0.999670i | \(0.491820\pi\) | |||||||
\(450\) | 0.106850 | − | 2.99810i | 0.00503698 | − | 0.141332i | ||||
\(451\) | −12.4017 | + | 21.4803i | −0.583971 | + | 1.01147i | ||||
\(452\) | −2.28801 | − | 3.96294i | −0.107619 | − | 0.186401i | ||||
\(453\) | −18.9950 | + | 4.72873i | −0.892461 | + | 0.222175i | ||||
\(454\) | 11.4437 | + | 19.8210i | 0.537078 | + | 0.930246i | ||||
\(455\) | 1.34995 | − | 0.347151i | 0.0632865 | − | 0.0162747i | ||||
\(456\) | −0.885476 | + | 0.220436i | −0.0414662 | + | 0.0103229i | ||||
\(457\) | 30.3204 | 1.41833 | 0.709165 | − | 0.705043i | \(-0.249072\pi\) | ||||
0.709165 | + | 0.705043i | \(0.249072\pi\) | |||||||
\(458\) | 7.16344 | − | 12.4074i | 0.334726 | − | 0.579762i | ||||
\(459\) | −5.51111 | − | 26.0657i | −0.257237 | − | 1.21664i | ||||
\(460\) | −3.82704 | − | 6.62863i | −0.178437 | − | 0.309061i | ||||
\(461\) | −2.92909 | + | 5.07333i | −0.136421 | + | 0.236289i | −0.926140 | − | 0.377181i | \(-0.876893\pi\) |
0.789718 | + | 0.613470i | \(0.210227\pi\) | |||||||
\(462\) | 9.00130 | − | 4.86720i | 0.418779 | − | 0.226443i | ||||
\(463\) | 1.17566 | + | 2.03631i | 0.0546376 | + | 0.0946352i | 0.892051 | − | 0.451936i | \(-0.149266\pi\) |
−0.837413 | + | 0.546571i | \(0.815933\pi\) | |||||||
\(464\) | 1.08341 | − | 1.87651i | 0.0502959 | − | 0.0871150i | ||||
\(465\) | 0.331352 | + | 0.343372i | 0.0153661 | + | 0.0159235i | ||||
\(466\) | 10.0050 | + | 17.3291i | 0.463472 | + | 0.802757i | ||||
\(467\) | 5.59867 | + | 9.69718i | 0.259076 | + | 0.448732i | 0.965995 | − | 0.258562i | \(-0.0832488\pi\) |
−0.706919 | + | 0.707295i | \(0.749915\pi\) | |||||||
\(468\) | 0.0562924 | − | 1.57950i | 0.00260212 | − | 0.0730123i | ||||
\(469\) | −6.78291 | + | 1.74428i | −0.313206 | + | 0.0805435i | ||||
\(470\) | −0.485812 | + | 0.841452i | −0.0224089 | + | 0.0388133i | ||||
\(471\) | 6.60404 | − | 22.9999i | 0.304298 | − | 1.05978i | ||||
\(472\) | 9.37789 | 0.431653 | ||||||||
\(473\) | 6.76240 | 0.310935 | ||||||||
\(474\) | 5.76655 | − | 20.0831i | 0.264866 | − | 0.922449i | ||||
\(475\) | 0.263417 | − | 0.456251i | 0.0120864 | − | 0.0209342i | ||||
\(476\) | 3.64308 | − | 13.0671i | 0.166980 | − | 0.598928i | ||||
\(477\) | 30.7672 | − | 16.3309i | 1.40873 | − | 0.747740i | ||||
\(478\) | 6.36973 | + | 11.0327i | 0.291344 | + | 0.504623i | ||||
\(479\) | −17.6971 | − | 30.6523i | −0.808601 | − | 1.40054i | −0.913833 | − | 0.406091i | \(-0.866892\pi\) |
0.105232 | − | 0.994448i | \(-0.466442\pi\) | |||||||
\(480\) | −1.20274 | − | 1.24636i | −0.0548972 | − | 0.0568885i | ||||
\(481\) | 0.565767 | − | 0.979937i | 0.0257968 | − | 0.0446813i | ||||
\(482\) | −6.93512 | − | 12.0120i | −0.315886 | − | 0.547131i | ||||
\(483\) | −29.8750 | − | 18.3785i | −1.35936 | − | 0.836249i | ||||
\(484\) | 3.00683 | − | 5.20798i | 0.136674 | − | 0.236726i | ||||
\(485\) | −2.85868 | − | 4.95139i | −0.129806 | − | 0.224831i | ||||
\(486\) | −15.3565 | + | 2.67936i | −0.696583 | + | 0.121538i | ||||
\(487\) | 0.757797 | − | 1.31254i | 0.0343391 | − | 0.0594770i | −0.848345 | − | 0.529444i | \(-0.822401\pi\) |
0.882684 | + | 0.469967i | \(0.155734\pi\) | |||||||
\(488\) | −2.10645 | −0.0953546 | ||||||||
\(489\) | −4.67434 | + | 1.16366i | −0.211381 | + | 0.0526226i | ||||
\(490\) | 0.141315 | − | 6.99857i | 0.00638396 | − | 0.316163i | ||||
\(491\) | 18.0909 | + | 31.3344i | 0.816433 | + | 1.41410i | 0.908294 | + | 0.418331i | \(0.137385\pi\) |
−0.0918616 | + | 0.995772i | \(0.529282\pi\) | |||||||
\(492\) | 18.6691 | − | 4.64760i | 0.841666 | − | 0.209530i | ||||
\(493\) | 5.55489 | + | 9.62135i | 0.250180 | + | 0.433324i | ||||
\(494\) | 0.138777 | − | 0.240368i | 0.00624386 | − | 0.0108147i | ||||
\(495\) | 5.67855 | + | 3.55402i | 0.255232 | + | 0.159741i | ||||
\(496\) | 0.275498 | 0.0123702 | ||||||||
\(497\) | 0.0136732 | − | 0.00351618i | 0.000613326 | − | 0.000157722i | ||||
\(498\) | 18.1790 | + | 18.8384i | 0.814620 | + | 0.844170i | ||||
\(499\) | −0.469827 | + | 0.813763i | −0.0210323 | + | 0.0364291i | −0.876350 | − | 0.481675i | \(-0.840029\pi\) |
0.855318 | + | 0.518104i | \(0.173362\pi\) | |||||||
\(500\) | 1.00000 | 0.0447214 | ||||||||
\(501\) | −40.6971 | + | 10.1314i | −1.81821 | + | 0.452638i | ||||
\(502\) | −16.0713 | −0.717298 | ||||||||
\(503\) | −10.4278 | −0.464951 | −0.232475 | − | 0.972602i | \(-0.574683\pi\) | ||||
−0.232475 | + | 0.972602i | \(0.574683\pi\) | |||||||
\(504\) | −7.56490 | − | 2.40256i | −0.336967 | − | 0.107019i | ||||
\(505\) | 3.75941 | 0.167291 | ||||||||
\(506\) | 17.0916 | 0.759816 | ||||||||
\(507\) | −15.3017 | − | 15.8568i | −0.679575 | − | 0.704226i | ||||
\(508\) | −5.62615 | −0.249620 | ||||||||
\(509\) | 13.2110 | − | 22.8820i | 0.585565 | − | 1.01423i | −0.409239 | − | 0.912427i | \(-0.634206\pi\) |
0.994805 | − | 0.101802i | \(-0.0324607\pi\) | |||||||
\(510\) | 8.61763 | − | 2.14533i | 0.381595 | − | 0.0949968i | ||||
\(511\) | 3.11651 | − | 11.1784i | 0.137866 | − | 0.494501i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −2.60261 | − | 0.848739i | −0.114908 | − | 0.0374727i | ||||
\(514\) | 4.64364 | − | 8.04303i | 0.204822 | − | 0.354763i | ||||
\(515\) | −7.98356 | − | 13.8279i | −0.351798 | − | 0.609331i | ||||
\(516\) | −3.64234 | − | 3.77446i | −0.160345 | − | 0.166161i | ||||
\(517\) | −1.08482 | − | 1.87897i | −0.0477105 | − | 0.0826371i | ||||
\(518\) | −3.97740 | − | 4.05853i | −0.174757 | − | 0.178321i | ||||
\(519\) | 7.72371 | − | 26.8993i | 0.339033 | − | 1.18075i | ||||
\(520\) | 0.526833 | 0.0231032 | ||||||||
\(521\) | −1.50358 | + | 2.60427i | −0.0658730 | + | 0.114095i | −0.897081 | − | 0.441866i | \(-0.854317\pi\) |
0.831208 | + | 0.555962i | \(0.187650\pi\) | |||||||
\(522\) | 5.74173 | − | 3.04765i | 0.251309 | − | 0.133392i | ||||
\(523\) | 18.7242 | + | 32.4313i | 0.818752 | + | 1.41812i | 0.906602 | + | 0.421986i | \(0.138667\pi\) |
−0.0878504 | + | 0.996134i | \(0.528000\pi\) | |||||||
\(524\) | −4.12218 | + | 7.13982i | −0.180078 | + | 0.311905i | ||||
\(525\) | 4.03102 | − | 2.17966i | 0.175928 | − | 0.0951281i | ||||
\(526\) | −14.2793 | − | 24.7324i | −0.622606 | − | 1.07839i | ||||
\(527\) | −0.706274 | + | 1.22330i | −0.0307658 | + | 0.0532879i | ||||
\(528\) | 3.75314 | − | 0.934332i | 0.163334 | − | 0.0406616i | ||||
\(529\) | −17.7925 | − | 30.8174i | −0.773585 | − | 1.33989i | ||||
\(530\) | 5.80545 | + | 10.0553i | 0.252173 | + | 0.436776i | ||||
\(531\) | 23.8480 | + | 14.9257i | 1.03492 | + | 0.647720i | ||||
\(532\) | −0.975615 | − | 0.995514i | −0.0422983 | − | 0.0431610i | ||||
\(533\) | −2.92592 | + | 5.06784i | −0.126736 | + | 0.219512i | ||||
\(534\) | −24.3277 | + | 6.05630i | −1.05276 | + | 0.262082i | ||||
\(535\) | 14.2542 | 0.616265 | ||||||||
\(536\) | −2.64711 | −0.114338 | ||||||||
\(537\) | −3.85433 | − | 3.99415i | −0.166327 | − | 0.172360i | ||||
\(538\) | 5.70674 | − | 9.88437i | 0.246035 | − | 0.426145i | ||||
\(539\) | 13.3764 | + | 8.08723i | 0.576161 | + | 0.348342i | ||||
\(540\) | −1.07487 | − | 5.08376i | −0.0462550 | − | 0.218770i | ||||
\(541\) | −5.62522 | − | 9.74317i | −0.241847 | − | 0.418892i | 0.719393 | − | 0.694603i | \(-0.244420\pi\) |
−0.961240 | + | 0.275711i | \(0.911087\pi\) | |||||||
\(542\) | −5.25046 | − | 9.09407i | −0.225527 | − | 0.390624i | ||||
\(543\) | −5.98460 | + | 20.8425i | −0.256824 | + | 0.894439i | ||||
\(544\) | 2.56362 | − | 4.44032i | 0.109914 | − | 0.190377i | ||||
\(545\) | 3.63550 | + | 6.29687i | 0.155728 | + | 0.269728i | ||||
\(546\) | 2.12367 | − | 1.14832i | 0.0908848 | − | 0.0491434i | ||||
\(547\) | 10.8197 | − | 18.7402i | 0.462616 | − | 0.801274i | −0.536474 | − | 0.843917i | \(-0.680244\pi\) |
0.999090 | + | 0.0426423i | \(0.0135776\pi\) | |||||||
\(548\) | −2.02361 | − | 3.50500i | −0.0864443 | − | 0.149726i | ||||
\(549\) | −5.35671 | − | 3.35259i | −0.228619 | − | 0.143085i | ||||
\(550\) | −1.11651 | + | 1.93384i | −0.0476080 | + | 0.0824594i | ||||
\(551\) | 1.14155 | 0.0486316 | ||||||||
\(552\) | −9.20584 | − | 9.53977i | −0.391826 | − | 0.406040i | ||||
\(553\) | 30.9113 | − | 7.94911i | 1.31448 | − | 0.338031i | ||||
\(554\) | −14.8161 | − | 25.6623i | −0.629476 | − | 1.09028i | ||||
\(555\) | 1.02668 | − | 3.57562i | 0.0435803 | − | 0.151777i | ||||
\(556\) | 1.79315 | + | 3.10583i | 0.0760465 | + | 0.131716i | ||||
\(557\) | −9.39566 | + | 16.2738i | −0.398107 | + | 0.689542i | −0.993492 | − | 0.113899i | \(-0.963666\pi\) |
0.595385 | + | 0.803440i | \(0.296999\pi\) | |||||||
\(558\) | 0.700593 | + | 0.438479i | 0.0296585 | + | 0.0185623i | ||||
\(559\) | 1.59545 | 0.0674803 | ||||||||
\(560\) | 0.710533 | − | 2.54856i | 0.0300255 | − | 0.107696i | ||||
\(561\) | −5.47289 | + | 19.0604i | −0.231066 | + | 0.804732i | ||||
\(562\) | 5.70650 | − | 9.88395i | 0.240714 | − | 0.416929i | ||||
\(563\) | −3.30213 | −0.139168 | −0.0695842 | − | 0.997576i | \(-0.522167\pi\) | ||||
−0.0695842 | + | 0.997576i | \(0.522167\pi\) | |||||||
\(564\) | −0.464452 | + | 1.61754i | −0.0195569 | + | 0.0681109i | ||||
\(565\) | 4.57601 | 0.192514 | ||||||||
\(566\) | −10.2884 | −0.432453 | ||||||||
\(567\) | −15.4137 | − | 18.1499i | −0.647314 | − | 0.762224i | ||||
\(568\) | 0.00533612 | 0.000223899 | ||||||||
\(569\) | −44.7468 | −1.87589 | −0.937943 | − | 0.346790i | \(-0.887272\pi\) | ||||
−0.937943 | + | 0.346790i | \(0.887272\pi\) | |||||||
\(570\) | 0.251834 | − | 0.877063i | 0.0105482 | − | 0.0367361i | ||||
\(571\) | −28.1036 | −1.17610 | −0.588049 | − | 0.808825i | \(-0.700104\pi\) | ||||
−0.588049 | + | 0.808825i | \(0.700104\pi\) | |||||||
\(572\) | −0.588212 | + | 1.01881i | −0.0245944 | + | 0.0425987i | ||||
\(573\) | 3.55997 | − | 12.3983i | 0.148720 | − | 0.517946i | ||||
\(574\) | 20.5695 | + | 20.9891i | 0.858556 | + | 0.876067i | ||||
\(575\) | 7.65408 | 0.319197 | ||||||||
\(576\) | −2.54300 | − | 1.59158i | −0.105958 | − | 0.0663160i | ||||
\(577\) | 14.2335 | − | 24.6531i | 0.592548 | − | 1.02632i | −0.401340 | − | 0.915929i | \(-0.631455\pi\) |
0.993888 | − | 0.110394i | \(-0.0352113\pi\) | |||||||
\(578\) | 4.64432 | + | 8.04420i | 0.193178 | + | 0.334594i | ||||
\(579\) | 7.00484 | − | 24.3957i | 0.291111 | − | 1.01385i | ||||
\(580\) | 1.08341 | + | 1.87651i | 0.0449860 | + | 0.0779180i | ||||
\(581\) | −10.7395 | + | 38.5207i | −0.445549 | + | 1.59811i | ||||
\(582\) | −6.87649 | − | 7.12593i | −0.285040 | − | 0.295379i | ||||
\(583\) | −25.9273 | −1.07380 | ||||||||
\(584\) | 2.19307 | − | 3.79852i | 0.0907501 | − | 0.157184i | ||||
\(585\) | 1.33974 | + | 0.838499i | 0.0553914 | + | 0.0346677i | ||||
\(586\) | −3.97898 | − | 6.89179i | −0.164370 | − | 0.284697i | ||||
\(587\) | −4.98838 | + | 8.64012i | −0.205892 | + | 0.356616i | −0.950417 | − | 0.310979i | \(-0.899343\pi\) |
0.744524 | + | 0.667595i | \(0.232676\pi\) | |||||||
\(588\) | −2.69081 | − | 11.8220i | −0.110967 | − | 0.487531i | ||||
\(589\) | 0.0725709 | + | 0.125696i | 0.00299023 | + | 0.00517923i | ||||
\(590\) | −4.68895 | + | 8.12149i | −0.193041 | + | 0.334357i | ||||
\(591\) | −12.3629 | + | 43.0561i | −0.508540 | + | 1.77109i | ||||
\(592\) | −1.07390 | − | 1.86005i | −0.0441371 | − | 0.0764476i | ||||
\(593\) | −0.170172 | − | 0.294747i | −0.00698813 | − | 0.0121038i | 0.862510 | − | 0.506040i | \(-0.168891\pi\) |
−0.869498 | + | 0.493936i | \(0.835558\pi\) | |||||||
\(594\) | 11.0313 | + | 3.59742i | 0.452620 | + | 0.147604i | ||||
\(595\) | 9.49488 | + | 9.68854i | 0.389252 | + | 0.397191i | ||||
\(596\) | −5.72149 | + | 9.90991i | −0.234361 | + | 0.405926i | ||||
\(597\) | 32.2993 | + | 33.4709i | 1.32192 | + | 1.36987i | ||||
\(598\) | 4.03242 | 0.164898 | ||||||||
\(599\) | −12.9631 | −0.529658 | −0.264829 | − | 0.964295i | \(-0.585316\pi\) | ||||
−0.264829 | + | 0.964295i | \(0.585316\pi\) | |||||||
\(600\) | 1.68075 | − | 0.418418i | 0.0686164 | − | 0.0170818i | ||||
\(601\) | 14.1545 | − | 24.5163i | 0.577374 | − | 1.00004i | −0.418406 | − | 0.908260i | \(-0.637411\pi\) |
0.995779 | − | 0.0917804i | \(-0.0292558\pi\) | |||||||
\(602\) | 2.15176 | − | 7.71799i | 0.0876993 | − | 0.314562i | ||||
\(603\) | −6.73161 | − | 4.21310i | −0.274132 | − | 0.171571i | ||||
\(604\) | −5.65073 | − | 9.78735i | −0.229925 | − | 0.398242i | ||||
\(605\) | 3.00683 | + | 5.20798i | 0.122245 | + | 0.211735i | ||||
\(606\) | 6.31863 | − | 1.57300i | 0.256677 | − | 0.0638989i | ||||
\(607\) | 2.93624 | − | 5.08572i | 0.119178 | − | 0.206423i | −0.800264 | − | 0.599648i | \(-0.795307\pi\) |
0.919442 | + | 0.393225i | \(0.128641\pi\) | |||||||
\(608\) | −0.263417 | − | 0.456251i | −0.0106830 | − | 0.0185034i | ||||
\(609\) | 8.45739 | + | 5.20280i | 0.342711 | + | 0.210828i | ||||
\(610\) | 1.05323 | − | 1.82424i | 0.0426439 | − | 0.0738614i | ||||
\(611\) | −0.255942 | − | 0.443305i | −0.0103543 | − | 0.0179342i | ||||
\(612\) | 13.5864 | − | 7.21154i | 0.549199 | − | 0.291509i | ||||
\(613\) | −14.6200 | + | 25.3225i | −0.590494 | + | 1.02277i | 0.403671 | + | 0.914904i | \(0.367734\pi\) |
−0.994166 | + | 0.107862i | \(0.965599\pi\) | |||||||
\(614\) | −0.923980 | −0.0372888 | ||||||||
\(615\) | −5.30959 | + | 18.4917i | −0.214103 | + | 0.745657i | ||||
\(616\) | 4.13520 | + | 4.21954i | 0.166612 | + | 0.170010i | ||||
\(617\) | −7.37990 | − | 12.7824i | −0.297103 | − | 0.514598i | 0.678369 | − | 0.734722i | \(-0.262687\pi\) |
−0.975472 | + | 0.220124i | \(0.929354\pi\) | |||||||
\(618\) | −19.2042 | − | 19.9008i | −0.772507 | − | 0.800530i | ||||
\(619\) | 10.7637 | + | 18.6433i | 0.432630 | + | 0.749337i | 0.997099 | − | 0.0761173i | \(-0.0242523\pi\) |
−0.564469 | + | 0.825454i | \(0.690919\pi\) | |||||||
\(620\) | −0.137749 | + | 0.238589i | −0.00553214 | + | 0.00958195i | ||||
\(621\) | −8.22712 | − | 38.9115i | −0.330143 | − | 1.56147i | ||||
\(622\) | −15.8576 | −0.635833 | ||||||||
\(623\) | −26.8042 | − | 27.3509i | −1.07389 | − | 1.09579i | ||||
\(624\) | 0.885476 | − | 0.220436i | 0.0354474 | − | 0.00882452i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 33.0817 | 1.32221 | ||||||||
\(627\) | 1.41493 | + | 1.46625i | 0.0565068 | + | 0.0585566i | ||||
\(628\) | 13.8155 | 0.551300 | ||||||||
\(629\) | 11.0123 | 0.439090 | ||||||||
\(630\) | 5.86313 | − | 5.35011i | 0.233593 | − | 0.213154i | ||||
\(631\) | 31.5811 | 1.25722 | 0.628612 | − | 0.777719i | \(-0.283623\pi\) | ||||
0.628612 | + | 0.777719i | \(0.283623\pi\) | |||||||
\(632\) | 12.0635 | 0.479861 | ||||||||
\(633\) | −23.3558 | + | 5.81434i | −0.928308 | + | 0.231099i | ||||
\(634\) | −28.3359 | −1.12536 | ||||||||
\(635\) | 2.81308 | − | 4.87239i | 0.111634 | − | 0.193355i | ||||
\(636\) | 13.9649 | + | 14.4714i | 0.553743 | + | 0.573829i | ||||
\(637\) | 3.15588 | + | 1.90802i | 0.125041 | + | 0.0755983i | ||||
\(638\) | −4.83852 | −0.191559 | ||||||||
\(639\) | 0.0135698 | + | 0.00849289i | 0.000536812 | + | 0.000335973i | ||||
\(640\) | 0.500000 | − | 0.866025i | 0.0197642 | − | 0.0342327i | ||||
\(641\) | −1.29659 | − | 2.24577i | −0.0512124 | − | 0.0887024i | 0.839283 | − | 0.543695i | \(-0.182975\pi\) |
−0.890495 | + | 0.454993i | \(0.849642\pi\) | |||||||
\(642\) | 23.9578 | − | 5.96423i | 0.945541 | − | 0.235389i | ||||
\(643\) | −15.3508 | − | 26.5883i | −0.605375 | − | 1.04854i | −0.991992 | − | 0.126299i | \(-0.959690\pi\) |
0.386618 | − | 0.922240i | \(-0.373643\pi\) | |||||||
\(644\) | 5.43848 | − | 19.5069i | 0.214306 | − | 0.768678i | ||||
\(645\) | 5.08995 | − | 1.26713i | 0.200416 | − | 0.0498930i | ||||
\(646\) | 2.70120 | 0.106277 | ||||||||
\(647\) | −13.4313 | + | 23.2637i | −0.528039 | + | 0.914590i | 0.471427 | + | 0.881905i | \(0.343739\pi\) |
−0.999466 | + | 0.0326847i | \(0.989594\pi\) | |||||||
\(648\) | −3.93372 | − | 8.09480i | −0.154531 | − | 0.317994i | ||||
\(649\) | −10.4705 | − | 18.1354i | −0.411002 | − | 0.711876i | ||||
\(650\) | −0.263417 | + | 0.456251i | −0.0103321 | + | 0.0178956i | ||||
\(651\) | −0.0352276 | + | 1.26200i | −0.00138068 | + | 0.0494617i | ||||
\(652\) | −1.39055 | − | 2.40850i | −0.0544582 | − | 0.0943243i | ||||
\(653\) | −6.57540 | + | 11.3889i | −0.257315 | + | 0.445683i | −0.965522 | − | 0.260322i | \(-0.916171\pi\) |
0.708206 | + | 0.706005i | \(0.249505\pi\) | |||||||
\(654\) | 8.74510 | + | 9.06232i | 0.341960 | + | 0.354365i | ||||
\(655\) | −4.12218 | − | 7.13982i | −0.161067 | − | 0.278976i | ||||
\(656\) | 5.55378 | + | 9.61944i | 0.216839 | + | 0.375576i | ||||
\(657\) | 11.6227 | − | 6.16918i | 0.453443 | − | 0.240683i | ||||
\(658\) | −2.48967 | + | 0.640241i | −0.0970576 | + | 0.0249592i | ||||
\(659\) | −15.2153 | + | 26.3536i | −0.592702 | + | 1.02659i | 0.401165 | + | 0.916006i | \(0.368605\pi\) |
−0.993867 | + | 0.110584i | \(0.964728\pi\) | |||||||
\(660\) | −1.06741 | + | 3.71748i | −0.0415490 | + | 0.144703i | ||||
\(661\) | 4.33819 | 0.168736 | 0.0843680 | − | 0.996435i | \(-0.473113\pi\) | ||||
0.0843680 | + | 0.996435i | \(0.473113\pi\) | |||||||
\(662\) | −27.1791 | −1.05635 | ||||||||
\(663\) | −1.29122 | + | 4.49692i | −0.0501467 | + | 0.174646i | ||||
\(664\) | −7.55735 | + | 13.0897i | −0.293282 | + | 0.507979i | ||||
\(665\) | 1.34995 | − | 0.347151i | 0.0523487 | − | 0.0134619i | ||||
\(666\) | 0.229494 | − | 6.43932i | 0.00889270 | − | 0.249519i | ||||
\(667\) | 8.29247 | + | 14.3630i | 0.321086 | + | 0.556137i | ||||
\(668\) | −12.1068 | − | 20.9696i | −0.468427 | − | 0.811339i | ||||
\(669\) | −20.8539 | − | 21.6103i | −0.806258 | − | 0.835504i | ||||
\(670\) | 1.32356 | − | 2.29246i | 0.0511334 | − | 0.0885656i | ||||
\(671\) | 2.35187 | + | 4.07355i | 0.0907928 | + | 0.157258i | ||||
\(672\) | 0.127868 | − | 4.58079i | 0.00493263 | − | 0.176708i | ||||
\(673\) | −3.10175 | + | 5.37239i | −0.119564 | + | 0.207090i | −0.919595 | − | 0.392868i | \(-0.871483\pi\) |
0.800031 | + | 0.599958i | \(0.204816\pi\) | |||||||
\(674\) | −13.5294 | − | 23.4336i | −0.521132 | − | 0.902628i | ||||
\(675\) | 4.94010 | + | 1.61102i | 0.190145 | + | 0.0620082i | ||||
\(676\) | 6.36122 | − | 11.0180i | 0.244662 | − | 0.423768i | ||||
\(677\) | 31.0089 | 1.19177 | 0.595885 | − | 0.803070i | \(-0.296801\pi\) | ||||
0.595885 | + | 0.803070i | \(0.296801\pi\) | |||||||
\(678\) | 7.69114 | − | 1.91469i | 0.295377 | − | 0.0735331i | ||||
\(679\) | 4.06238 | − | 14.5710i | 0.155900 | − | 0.559185i | ||||
\(680\) | 2.56362 | + | 4.44032i | 0.0983104 | + | 0.170279i | ||||
\(681\) | −38.4679 | + | 9.57646i | −1.47409 | + | 0.366971i | ||||
\(682\) | −0.307596 | − | 0.532771i | −0.0117784 | − | 0.0204009i | ||||
\(683\) | −7.70020 | + | 13.3371i | −0.294640 | + | 0.510331i | −0.974901 | − | 0.222638i | \(-0.928533\pi\) |
0.680261 | + | 0.732970i | \(0.261866\pi\) | |||||||
\(684\) | 0.0562924 | − | 1.57950i | 0.00215239 | − | 0.0603936i | ||||
\(685\) | 4.04722 | 0.154636 | ||||||||
\(686\) | 13.4863 | − | 12.6933i | 0.514910 | − | 0.484631i | ||||
\(687\) | 17.2315 | + | 17.8565i | 0.657422 | + | 0.681269i | ||||
\(688\) | 1.51419 | − | 2.62265i | 0.0577279 | − | 0.0999876i | ||||
\(689\) | −6.11701 | −0.233040 | ||||||||
\(690\) | 12.8646 | − | 3.20260i | 0.489747 | − | 0.121921i | ||||
\(691\) | −36.4864 | −1.38801 | −0.694003 | − | 0.719972i | \(-0.744155\pi\) | ||||
−0.694003 | + | 0.719972i | \(0.744155\pi\) | |||||||
\(692\) | 16.1579 | 0.614230 | ||||||||
\(693\) | 3.80007 | + | 17.3118i | 0.144353 | + | 0.657621i | ||||
\(694\) | −22.7656 | −0.864171 | ||||||||
\(695\) | −3.58630 | −0.136036 | ||||||||
\(696\) | 2.60610 | + | 2.70064i | 0.0987841 | + | 0.102367i | ||||
\(697\) | −56.9512 | −2.15718 | ||||||||
\(698\) | 15.7736 | − | 27.3207i | 0.597039 | − | 1.03410i | ||||
\(699\) | −33.6318 | + | 8.37253i | −1.27207 | + | 0.316678i | ||||
\(700\) | 1.85185 | + | 1.88962i | 0.0699933 | + | 0.0714209i | ||||
\(701\) | 27.1020 | 1.02363 | 0.511813 | − | 0.859097i | \(-0.328974\pi\) | ||||
0.511813 | + | 0.859097i | \(0.328974\pi\) | |||||||
\(702\) | 2.60261 | + | 0.848739i | 0.0982292 | + | 0.0320336i | ||||
\(703\) | 0.565767 | − | 0.979937i | 0.0213383 | − | 0.0369590i | ||||
\(704\) | 1.11651 | + | 1.93384i | 0.0420799 | + | 0.0728845i | ||||
\(705\) | −1.16861 | − | 1.21100i | −0.0440123 | − | 0.0456089i | ||||
\(706\) | −11.6980 | − | 20.2615i | −0.440260 | − | 0.762553i | ||||
\(707\) | 6.96185 | + | 7.10384i | 0.261827 | + | 0.267167i | ||||
\(708\) | −4.48278 | + | 15.6122i | −0.168473 | + | 0.586741i | ||||
\(709\) | −20.2676 | −0.761166 | −0.380583 | − | 0.924747i | \(-0.624277\pi\) | ||||
−0.380583 | + | 0.924747i | \(0.624277\pi\) | |||||||
\(710\) | −0.00266806 | + | 0.00462122i | −0.000100131 | + | 0.000173431i | ||||
\(711\) | 30.6775 | + | 19.2001i | 1.15050 | + | 0.720060i | ||||
\(712\) | −7.23714 | − | 12.5351i | −0.271223 | − | 0.469773i | ||||
\(713\) | −1.05434 | + | 1.82618i | −0.0394855 | + | 0.0683908i | ||||
\(714\) | 20.0124 | + | 12.3112i | 0.748945 | + | 0.460735i | ||||
\(715\) | −0.588212 | − | 1.01881i | −0.0219979 | − | 0.0381015i | ||||
\(716\) | 1.60232 | − | 2.77530i | 0.0598814 | − | 0.103718i | ||||
\(717\) | −21.4119 | + | 5.33041i | −0.799640 | + | 0.199068i | ||||
\(718\) | 13.0864 | + | 22.6664i | 0.488382 | + | 0.845902i | ||||
\(719\) | 1.26005 | + | 2.18247i | 0.0469919 | + | 0.0813924i | 0.888565 | − | 0.458751i | \(-0.151703\pi\) |
−0.841573 | + | 0.540144i | \(0.818370\pi\) | |||||||
\(720\) | 2.64985 | − | 1.40651i | 0.0987542 | − | 0.0524176i | ||||
\(721\) | 11.3452 | − | 40.6931i | 0.422516 | − | 1.51549i | ||||
\(722\) | −9.36122 | + | 16.2141i | −0.348389 | + | 0.603427i | ||||
\(723\) | 23.3124 | − | 5.80356i | 0.866999 | − | 0.215837i | ||||
\(724\) | −12.5197 | −0.465290 | ||||||||
\(725\) | −2.16681 | −0.0804734 | ||||||||
\(726\) | 7.23285 | + | 7.49521i | 0.268436 | + | 0.278174i | ||||
\(727\) | −5.36316 | + | 9.28926i | −0.198908 | + | 0.344520i | −0.948175 | − | 0.317749i | \(-0.897073\pi\) |
0.749266 | + | 0.662269i | \(0.230406\pi\) | |||||||
\(728\) | 0.975615 | + | 0.995514i | 0.0361587 | + | 0.0368962i | ||||
\(729\) | 2.88008 | − | 26.8460i | 0.106670 | − | 0.994295i | ||||
\(730\) | 2.19307 | + | 3.79852i | 0.0811693 | + | 0.140589i | ||||
\(731\) | 7.76361 | + | 13.4470i | 0.287148 | + | 0.497354i | ||||
\(732\) | 1.00692 | − | 3.50679i | 0.0372167 | − | 0.129615i | ||||
\(733\) | 7.75728 | − | 13.4360i | 0.286522 | − | 0.496270i | −0.686455 | − | 0.727172i | \(-0.740834\pi\) |
0.972977 | + | 0.230902i | \(0.0741676\pi\) | |||||||
\(734\) | −15.3517 | − | 26.5900i | −0.566643 | − | 0.981454i | ||||
\(735\) | 11.5836 | + | 3.58068i | 0.427266 | + | 0.132076i | ||||
\(736\) | 3.82704 | − | 6.62863i | 0.141067 | − | 0.244334i | ||||
\(737\) | 2.95551 | + | 5.11910i | 0.108868 | + | 0.188564i | ||||
\(738\) | −1.18685 | + | 33.3016i | −0.0436885 | + | 1.22585i | ||||
\(739\) | 10.7231 | − | 18.5730i | 0.394457 | − | 0.683220i | −0.598575 | − | 0.801067i | \(-0.704266\pi\) |
0.993032 | + | 0.117847i | \(0.0375994\pi\) | |||||||
\(740\) | 2.14780 | 0.0789548 | ||||||||
\(741\) | 0.333823 | + | 0.345933i | 0.0122633 | + | 0.0127082i | ||||
\(742\) | −8.24993 | + | 29.5911i | −0.302865 | + | 1.08632i | ||||
\(743\) | −13.9789 | − | 24.2122i | −0.512836 | − | 0.888258i | −0.999889 | − | 0.0148858i | \(-0.995262\pi\) |
0.487053 | − | 0.873372i | \(-0.338072\pi\) | |||||||
\(744\) | −0.131693 | + | 0.458645i | −0.00482808 | + | 0.0168147i | ||||
\(745\) | −5.72149 | − | 9.90991i | −0.209619 | − | 0.363071i | ||||
\(746\) | −7.19286 | + | 12.4584i | −0.263349 | + | 0.456134i | ||||
\(747\) | −40.0517 | + | 21.2590i | −1.46542 | + | 0.777827i | ||||
\(748\) | −11.4492 | −0.418624 | ||||||||
\(749\) | 26.3967 | + | 26.9351i | 0.964514 | + | 0.984186i | ||||
\(750\) | −0.478015 | + | 1.66478i | −0.0174547 | + | 0.0607893i | ||||
\(751\) | −25.4471 | + | 44.0757i | −0.928577 | + | 1.60834i | −0.142873 | + | 0.989741i | \(0.545634\pi\) |
−0.785704 | + | 0.618602i | \(0.787699\pi\) | |||||||
\(752\) | −0.971625 | −0.0354315 | ||||||||
\(753\) | 7.68234 | − | 26.7552i | 0.279960 | − | 0.975015i | ||||
\(754\) | −1.14155 | −0.0415727 | ||||||||
\(755\) | 11.3015 | 0.411302 | ||||||||
\(756\) | 7.61588 | − | 11.4455i | 0.276987 | − | 0.416267i | ||||
\(757\) | 53.4414 | 1.94236 | 0.971180 | − | 0.238348i | \(-0.0766059\pi\) | ||||
0.971180 | + | 0.238348i | \(0.0766059\pi\) | |||||||
\(758\) | 2.90593 | 0.105548 | ||||||||
\(759\) | −8.17007 | + | 28.4539i | −0.296555 | + | 1.03281i | ||||
\(760\) | 0.526833 | 0.0191103 | ||||||||
\(761\) | 15.1847 | − | 26.3006i | 0.550444 | − | 0.953397i | −0.447799 | − | 0.894134i | \(-0.647792\pi\) |
0.998242 | − | 0.0592623i | \(-0.0188748\pi\) | |||||||
\(762\) | 2.68939 | − | 9.36632i | 0.0974263 | − | 0.339306i | ||||
\(763\) | −5.16629 | + | 18.5306i | −0.187032 | + | 0.670851i | ||||
\(764\) | 7.44740 | 0.269437 | ||||||||
\(765\) | −0.547849 | + | 15.3720i | −0.0198075 | + | 0.555775i | ||||
\(766\) | 6.18254 | − | 10.7085i | 0.223384 | − | 0.386913i | ||||
\(767\) | −2.47029 | − | 4.27867i | −0.0891971 | − | 0.154494i | ||||
\(768\) | 0.478015 | − | 1.66478i | 0.0172489 | − | 0.0600727i | ||||
\(769\) | −0.418349 | − | 0.724602i | −0.0150861 | − | 0.0261298i | 0.858384 | − | 0.513008i | \(-0.171469\pi\) |
−0.873470 | + | 0.486878i | \(0.838136\pi\) | |||||||
\(770\) | −5.72183 | + | 1.47142i | −0.206200 | + | 0.0530262i | ||||
\(771\) | 11.1702 | + | 11.5753i | 0.402283 | + | 0.416876i | ||||
\(772\) | 14.6540 | 0.527409 | ||||||||
\(773\) | −5.17778 | + | 8.96818i | −0.186232 | + | 0.322563i | −0.943991 | − | 0.329971i | \(-0.892961\pi\) |
0.757759 | + | 0.652534i | \(0.226294\pi\) | |||||||
\(774\) | 8.02475 | − | 4.25945i | 0.288444 | − | 0.153103i | ||||
\(775\) | −0.137749 | − | 0.238589i | −0.00494810 | − | 0.00857036i | ||||
\(776\) | 2.85868 | − | 4.95139i | 0.102621 | − | 0.177744i | ||||
\(777\) | 8.65783 | − | 4.68148i | 0.310598 | − | 0.167947i | ||||
\(778\) | −3.54720 | − | 6.14393i | −0.127173 | − | 0.220271i | ||||
\(779\) | −2.92592 | + | 5.06784i | −0.104832 | + | 0.181574i | ||||
\(780\) | −0.251834 | + | 0.877063i | −0.00901712 | + | 0.0314039i | ||||
\(781\) | −0.00595781 | − | 0.0103192i | −0.000213187 | − | 0.000369251i | ||||
\(782\) | 19.6222 | + | 33.9866i | 0.701687 | + | 1.21536i | ||||
\(783\) | 2.32904 | + | 11.0156i | 0.0832330 | + | 0.393664i | ||||
\(784\) | 6.13160 | − | 3.37690i | 0.218986 | − | 0.120604i | ||||
\(785\) | −6.90777 | + | 11.9646i | −0.246549 | + | 0.427035i | ||||
\(786\) | −9.91579 | − | 10.2755i | −0.353684 | − | 0.366514i | ||||
\(787\) | 12.6513 | 0.450971 | 0.225485 | − | 0.974247i | \(-0.427603\pi\) | ||||
0.225485 | + | 0.974247i | \(0.427603\pi\) | |||||||
\(788\) | −25.8629 | −0.921328 | ||||||||
\(789\) | 47.9998 | − | 11.9494i | 1.70884 | − | 0.425410i | ||||
\(790\) | −6.03176 | + | 10.4473i | −0.214600 | + | 0.371699i | ||||
\(791\) | 8.47408 | + | 8.64692i | 0.301304 | + | 0.307449i | ||||
\(792\) | −0.238598 | + | 6.69478i | −0.00847822 | + | 0.237889i | ||||
\(793\) | 0.554875 | + | 0.961071i | 0.0197042 | + | 0.0341286i | ||||
\(794\) | −16.2398 | − | 28.1281i | −0.576327 | − | 0.998228i | ||||
\(795\) | −19.5150 | + | 4.85821i | −0.692127 | + | 0.172303i | ||||
\(796\) | −13.4274 | + | 23.2570i | −0.475922 | + | 0.824321i | ||||
\(797\) | −2.06194 | − | 3.57139i | −0.0730377 | − | 0.126505i | 0.827194 | − | 0.561917i | \(-0.189936\pi\) |
−0.900231 | + | 0.435412i | \(0.856603\pi\) | |||||||
\(798\) | 2.12367 | − | 1.14832i | 0.0751772 | − | 0.0406500i | ||||
\(799\) | 2.49088 | − | 4.31433i | 0.0881210 | − | 0.152630i | ||||
\(800\) | 0.500000 | + | 0.866025i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | 1.54658 | − | 43.3953i | 0.0546459 | − | 1.53330i | ||||
\(802\) | −11.6659 | + | 20.2060i | −0.411938 | + | 0.713498i | ||||
\(803\) | −9.79432 | −0.345634 | ||||||||
\(804\) | 1.26536 | − | 4.40686i | 0.0446258 | − | 0.155418i | ||||
\(805\) | 14.1742 | + | 14.4633i | 0.499575 | + | 0.509764i | ||||
\(806\) | −0.0725709 | − | 0.125696i | −0.00255620 | − | 0.00442747i | ||||
\(807\) | 13.7274 | + | 14.2254i | 0.483228 | + | 0.500757i | ||||
\(808\) | 1.87970 | + | 3.25574i | 0.0661277 | + | 0.114537i | ||||
\(809\) | −24.9144 | + | 43.1530i | −0.875945 | + | 1.51718i | −0.0201913 | + | 0.999796i | \(0.506428\pi\) |
−0.855753 | + | 0.517384i | \(0.826906\pi\) | |||||||
\(810\) | 8.97717 | + | 0.640696i | 0.315425 | + | 0.0225118i | ||||
\(811\) | 29.9069 | 1.05017 | 0.525087 | − | 0.851049i | \(-0.324033\pi\) | ||||
0.525087 | + | 0.851049i | \(0.324033\pi\) | |||||||
\(812\) | −1.53959 | + | 5.52224i | −0.0540291 | + | 0.193793i | ||||
\(813\) | 17.6495 | − | 4.39378i | 0.618993 | − | 0.154096i | ||||
\(814\) | −2.39803 | + | 4.15352i | −0.0840510 | + | 0.145581i | ||||
\(815\) | 2.78110 | 0.0974177 | ||||||||
\(816\) | 6.16672 | + | 6.39042i | 0.215879 | + | 0.223709i | ||||
\(817\) | 1.59545 | 0.0558177 | ||||||||
\(818\) | −15.0197 | −0.525150 | ||||||||
\(819\) | 0.896549 | + | 4.08437i | 0.0313280 | + | 0.142719i | ||||
\(820\) | −11.1076 | −0.387893 | ||||||||
\(821\) | 36.2481 | 1.26507 | 0.632534 | − | 0.774533i | \(-0.282015\pi\) | ||||
0.632534 | + | 0.774533i | \(0.282015\pi\) | |||||||
\(822\) | 6.80237 | − | 1.69343i | 0.237260 | − | 0.0590651i | ||||
\(823\) | 37.3260 | 1.30110 | 0.650551 | − | 0.759463i | \(-0.274538\pi\) | ||||
0.650551 | + | 0.759463i | \(0.274538\pi\) | |||||||
\(824\) | 7.98356 | − | 13.8279i | 0.278120 | − | 0.481719i | ||||
\(825\) | −2.68572 | − | 2.78315i | −0.0935049 | − | 0.0968967i | ||||
\(826\) | −24.0297 | + | 6.17946i | −0.836102 | + | 0.215011i | ||||
\(827\) | −32.2347 | −1.12091 | −0.560455 | − | 0.828185i | \(-0.689374\pi\) | ||||
−0.560455 | + | 0.828185i | \(0.689374\pi\) | |||||||
\(828\) | 20.2822 | − | 10.7656i | 0.704855 | − | 0.374129i | ||||
\(829\) | 7.60502 | − | 13.1723i | 0.264133 | − | 0.457492i | −0.703203 | − | 0.710989i | \(-0.748247\pi\) |
0.967336 | + | 0.253497i | \(0.0815808\pi\) | |||||||
\(830\) | −7.55735 | − | 13.0897i | −0.262319 | − | 0.454351i | ||||
\(831\) | 49.8044 | − | 12.3986i | 1.72770 | − | 0.430104i | ||||
\(832\) | 0.263417 | + | 0.456251i | 0.00913233 | + | 0.0158177i | ||||
\(833\) | −0.724557 | + | 35.8834i | −0.0251044 | + | 1.24329i | ||||
\(834\) | −6.02768 | + | 1.50057i | −0.208721 | + | 0.0519605i | ||||
\(835\) | 24.2136 | 0.837947 | ||||||||
\(836\) | −0.588212 | + | 1.01881i | −0.0203437 | + | 0.0352364i | ||||
\(837\) | −1.06487 | + | 0.956736i | −0.0368072 | + | 0.0330696i | ||||
\(838\) | −13.3107 | − | 23.0548i | −0.459810 | − | 0.796414i | ||||
\(839\) | −20.1589 | + | 34.9162i | −0.695961 | + | 1.20544i | 0.273895 | + | 0.961760i | \(0.411688\pi\) |
−0.969856 | + | 0.243680i | \(0.921645\pi\) | |||||||
\(840\) | 3.90315 | + | 2.40113i | 0.134671 | + | 0.0828470i | ||||
\(841\) | 12.1525 | + | 21.0487i | 0.419050 | + | 0.725817i | ||||
\(842\) | −7.36383 | + | 12.7545i | −0.253774 | + | 0.439550i | ||||
\(843\) | 13.7268 | + | 14.2248i | 0.472777 | + | 0.489927i | ||||
\(844\) | −6.94801 | − | 12.0343i | −0.239160 | − | 0.414238i | ||||
\(845\) | 6.36122 | + | 11.0180i | 0.218833 | + | 0.379029i | ||||
\(846\) | −2.47084 | − | 1.54642i | −0.0849494 | − | 0.0531671i | ||||
\(847\) | −4.27291 | + | 15.3262i | −0.146819 | + | 0.526613i | ||||
\(848\) | −5.80545 | + | 10.0553i | −0.199360 | + | 0.345302i | ||||
\(849\) | 4.91801 | − | 17.1279i | 0.168786 | − | 0.587829i | ||||
\(850\) | −5.12724 | −0.175863 | ||||||||
\(851\) | 16.4394 | 0.563537 | ||||||||
\(852\) | −0.00255075 | + | 0.00888349i | −8.73872e−5 | + | 0.000304343i | ||||
\(853\) | 12.8512 | − | 22.2590i | 0.440018 | − | 0.762134i | −0.557672 | − | 0.830061i | \(-0.688305\pi\) |
0.997690 | + | 0.0679275i | \(0.0216387\pi\) | |||||||
\(854\) | 5.39753 | − | 1.38802i | 0.184700 | − | 0.0474972i | ||||
\(855\) | 1.33974 | + | 0.838499i | 0.0458181 | + | 0.0286761i | ||||
\(856\) | 7.12712 | + | 12.3445i | 0.243600 | + | 0.421928i | ||||
\(857\) | 0.546892 | + | 0.947244i | 0.0186815 | + | 0.0323572i | 0.875215 | − | 0.483734i | \(-0.160720\pi\) |
−0.856534 | + | 0.516091i | \(0.827386\pi\) | |||||||
\(858\) | −1.41493 | − | 1.46625i | −0.0483049 | − | 0.0500571i | ||||
\(859\) | −12.4991 | + | 21.6491i | −0.426464 | + | 0.738658i | −0.996556 | − | 0.0829231i | \(-0.973574\pi\) |
0.570091 | + | 0.821581i | \(0.306908\pi\) | |||||||
\(860\) | 1.51419 | + | 2.62265i | 0.0516334 | + | 0.0894316i | ||||
\(861\) | −44.7748 | + | 24.2107i | −1.52592 | + | 0.825099i | ||||
\(862\) | −10.1685 | + | 17.6124i | −0.346341 | + | 0.599880i | ||||
\(863\) | −18.5920 | − | 32.2023i | −0.632879 | − | 1.09618i | −0.986960 | − | 0.160963i | \(-0.948540\pi\) |
0.354082 | − | 0.935214i | \(-0.384793\pi\) | |||||||
\(864\) | 3.86524 | − | 3.47275i | 0.131498 | − | 0.118145i | ||||
\(865\) | −8.07893 | + | 13.9931i | −0.274692 | + | 0.475780i | ||||
\(866\) | −3.86021 | −0.131175 | ||||||||
\(867\) | −15.6119 | + | 3.88653i | −0.530208 | + | 0.131994i | ||||
\(868\) | −0.705932 | + | 0.181537i | −0.0239609 | + | 0.00616175i | ||||
\(869\) | −13.4690 | − | 23.3290i | −0.456904 | − | 0.791381i | ||||
\(870\) | −3.64187 | + | 0.906633i | −0.123471 | + | 0.0307377i | ||||
\(871\) | 0.697293 | + | 1.20775i | 0.0236269 | + | 0.0409229i | ||||
\(872\) | −3.63550 | + | 6.29687i | −0.123114 | + | 0.213239i | ||||
\(873\) | 15.1502 | − | 8.04156i | 0.512756 | − | 0.272165i | ||||
\(874\) | 4.03242 | 0.136399 | ||||||||
\(875\) | −2.56238 | + | 0.658939i | −0.0866243 | + | 0.0222762i | ||||
\(876\) | 5.27538 | + | 5.46674i | 0.178239 | + | 0.184704i | ||||
\(877\) | 4.30220 | − | 7.45162i | 0.145275 | − | 0.251623i | −0.784201 | − | 0.620507i | \(-0.786927\pi\) |
0.929475 | + | 0.368884i | \(0.120260\pi\) | |||||||
\(878\) | 21.8678 | 0.738001 | ||||||||
\(879\) | 13.3753 | − | 3.32975i | 0.451139 | − | 0.112310i | ||||
\(880\) | −2.23301 | −0.0752748 | ||||||||
\(881\) | −3.16944 | −0.106781 | −0.0533906 | − | 0.998574i | \(-0.517003\pi\) | ||||
−0.0533906 | + | 0.998574i | \(0.517003\pi\) | |||||||
\(882\) | 20.9673 | + | 1.17148i | 0.706006 | + | 0.0394457i | ||||
\(883\) | −5.36197 | −0.180445 | −0.0902223 | − | 0.995922i | \(-0.528758\pi\) | ||||
−0.0902223 | + | 0.995922i | \(0.528758\pi\) | |||||||
\(884\) | −2.70120 | −0.0908513 | ||||||||
\(885\) | −11.2791 | − | 11.6883i | −0.379144 | − | 0.392897i | ||||
\(886\) | −13.4669 | −0.452428 | ||||||||
\(887\) | 24.9497 | − | 43.2142i | 0.837730 | − | 1.45099i | −0.0540590 | − | 0.998538i | \(-0.517216\pi\) |
0.891789 | − | 0.452452i | \(-0.149451\pi\) | |||||||
\(888\) | 3.60992 | − | 0.898679i | 0.121141 | − | 0.0301577i | ||||
\(889\) | 14.4164 | − | 3.70729i | 0.483509 | − | 0.124339i | ||||
\(890\) | 14.4743 | 0.485179 | ||||||||
\(891\) | −11.2621 | + | 16.6451i | −0.377293 | + | 0.557632i | ||||
\(892\) | 8.66935 | − | 15.0158i | 0.290271 | − | 0.502765i | ||||
\(893\) | −0.255942 | − | 0.443305i | −0.00856478 | − | 0.0148346i | ||||
\(894\) | −13.7629 | − | 14.2621i | −0.460300 | − | 0.476997i | ||||
\(895\) | 1.60232 | + | 2.77530i | 0.0535596 | + | 0.0927679i | ||||
\(896\) | 2.56238 | − | 0.658939i | 0.0856032 | − | 0.0220136i | ||||
\(897\) | −1.92756 | + | 6.71311i | −0.0643594 | + | 0.224144i | ||||
\(898\) | −1.08899 | −0.0363402 | ||||||||
\(899\) | 0.298477 | − | 0.516977i | 0.00995475 | − | 0.0172421i | ||||
\(900\) | −0.106850 | + | 2.99810i | −0.00356168 | + | 0.0999366i | ||||
\(901\) | −29.7660 | − | 51.5562i | −0.991648 | − | 1.71759i | ||||
\(902\) | 12.4017 | − | 21.4803i | 0.412930 | − | 0.715216i | ||||
\(903\) | 11.8202 | + | 7.27153i | 0.393351 | + | 0.241981i | ||||
\(904\) | 2.28801 | + | 3.96294i | 0.0760980 | + | 0.131806i | ||||
\(905\) | 6.25984 | − | 10.8424i | 0.208084 | − | 0.360412i | ||||
\(906\) | 18.9950 | − | 4.72873i | 0.631065 | − | 0.157102i | ||||
\(907\) | −16.0318 | − | 27.7679i | −0.532327 | − | 0.922017i | −0.999288 | − | 0.0377393i | \(-0.987984\pi\) |
0.466961 | − | 0.884278i | \(-0.345349\pi\) | |||||||
\(908\) | −11.4437 | − | 19.8210i | −0.379771 | − | 0.657783i | ||||
\(909\) | −0.401694 | + | 11.2711i | −0.0133234 | + | 0.373838i | ||||
\(910\) | −1.34995 | + | 0.347151i | −0.0447503 | + | 0.0115079i | ||||
\(911\) | −28.2853 | + | 48.9915i | −0.937133 | + | 1.62316i | −0.166347 | + | 0.986067i | \(0.553197\pi\) |
−0.770786 | + | 0.637095i | \(0.780136\pi\) | |||||||
\(912\) | 0.885476 | − | 0.220436i | 0.0293210 | − | 0.00729938i | ||||
\(913\) | 33.7513 | 1.11700 | ||||||||
\(914\) | −30.3204 | −1.00291 | ||||||||
\(915\) | 2.53351 | + | 2.62541i | 0.0837552 | + | 0.0867933i | ||||
\(916\) | −7.16344 | + | 12.4074i | −0.236687 | + | 0.409954i | ||||
\(917\) | 5.85789 | − | 21.0112i | 0.193445 | − | 0.693851i | ||||
\(918\) | 5.51111 | + | 26.0657i | 0.181894 | + | 0.860296i | ||||
\(919\) | −18.5502 | − | 32.1299i | −0.611915 | − | 1.05987i | −0.990917 | − | 0.134472i | \(-0.957066\pi\) |
0.379002 | − | 0.925396i | \(-0.376267\pi\) | |||||||
\(920\) | 3.82704 | + | 6.62863i | 0.126174 | + | 0.218539i | ||||
\(921\) | 0.441677 | − | 1.53823i | 0.0145537 | − | 0.0506863i | ||||
\(922\) | 2.92909 | − | 5.07333i | 0.0964644 | − | 0.167081i | ||||
\(923\) | −0.00140562 | − | 0.00243461i | −4.62667e−5 | − | 8.01362e-5i | ||||
\(924\) | −9.00130 | + | 4.86720i | −0.296121 | + | 0.160119i | ||||
\(925\) | −1.07390 | + | 1.86005i | −0.0353097 | + | 0.0611581i | ||||
\(926\) | −1.17566 | − | 2.03631i | −0.0386346 | − | 0.0669172i | ||||
\(927\) | 42.3105 | − | 22.4580i | 1.38966 | − | 0.737616i | ||||
\(928\) | −1.08341 | + | 1.87651i | −0.0355645 | + | 0.0615996i | ||||
\(929\) | 11.9161 | 0.390954 | 0.195477 | − | 0.980708i | \(-0.437374\pi\) | ||||
0.195477 | + | 0.980708i | \(0.437374\pi\) | |||||||
\(930\) | −0.331352 | − | 0.343372i | −0.0108655 | − | 0.0112596i | ||||
\(931\) | 3.15588 | + | 1.90802i | 0.103430 | + | 0.0625327i | ||||
\(932\) | −10.0050 | − | 17.3291i | −0.327724 | − | 0.567635i | ||||
\(933\) | 7.58019 | − | 26.3995i | 0.248164 | − | 0.864280i | ||||
\(934\) | −5.59867 | − | 9.69718i | −0.183194 | − | 0.317302i | ||||
\(935\) | 5.72460 | − | 9.91529i | 0.187214 | − | 0.324265i | ||||
\(936\) | −0.0562924 | + | 1.57950i | −0.00183997 | + | 0.0516275i | ||||
\(937\) | 15.9712 | 0.521755 | 0.260878 | − | 0.965372i | \(-0.415988\pi\) | ||||
0.260878 | + | 0.965372i | \(0.415988\pi\) | |||||||
\(938\) | 6.78291 | − | 1.74428i | 0.221470 | − | 0.0569529i | ||||
\(939\) | −15.8136 | + | 55.0739i | −0.516057 | + | 1.79727i | ||||
\(940\) | 0.485812 | − | 0.841452i | 0.0158455 | − | 0.0274451i | ||||
\(941\) | −29.6400 | −0.966238 | −0.483119 | − | 0.875555i | \(-0.660496\pi\) | ||||
−0.483119 | + | 0.875555i | \(0.660496\pi\) | |||||||
\(942\) | −6.60404 | + | 22.9999i | −0.215171 | + | 0.749376i | ||||
\(943\) | −85.0182 | −2.76857 | ||||||||
\(944\) | −9.37789 | −0.305224 | ||||||||
\(945\) | 6.10411 | + | 12.3183i | 0.198567 | + | 0.400713i | ||||
\(946\) | −6.76240 | −0.219864 | ||||||||
\(947\) | −46.5885 | −1.51392 | −0.756962 | − | 0.653459i | \(-0.773317\pi\) | ||||
−0.756962 | + | 0.653459i | \(0.773317\pi\) | |||||||
\(948\) | −5.76655 | + | 20.0831i | −0.187289 | + | 0.652270i | ||||
\(949\) | −2.31077 | −0.0750108 | ||||||||
\(950\) | −0.263417 | + | 0.456251i | −0.00854636 | + | 0.0148027i | ||||
\(951\) | 13.5450 | − | 47.1731i | 0.439226 | − | 1.52969i | ||||
\(952\) | −3.64308 | + | 13.0671i | −0.118073 | + | 0.423506i | ||||
\(953\) | 33.3813 | 1.08133 | 0.540664 | − | 0.841239i | \(-0.318173\pi\) | ||||
0.540664 | + | 0.841239i | \(0.318173\pi\) | |||||||
\(954\) | −30.7672 | + | 16.3309i | −0.996125 | + | 0.528732i | ||||
\(955\) | −3.72370 | + | 6.44964i | −0.120496 | + | 0.208705i | ||||
\(956\) | −6.36973 | − | 11.0327i | −0.206012 | − | 0.356823i | ||||
\(957\) | 2.31288 | − | 8.05508i | 0.0747649 | − | 0.260384i | ||||
\(958\) | 17.6971 | + | 30.6523i | 0.571767 | + | 0.990330i | ||||
\(959\) | 7.49484 | + | 7.64770i | 0.242021 | + | 0.246957i | ||||
\(960\) | 1.20274 | + | 1.24636i | 0.0388181 | + | 0.0402263i | ||||
\(961\) | −30.9241 | −0.997552 | ||||||||
\(962\) | −0.565767 | + | 0.979937i | −0.0182411 | + | 0.0315944i | ||||
\(963\) | −1.52307 | + | 42.7356i | −0.0490803 | + | 1.37714i | ||||
\(964\) | 6.93512 | + | 12.0120i | 0.223365 | + | 0.386880i | ||||
\(965\) | −7.32700 | + | 12.6907i | −0.235864 | + | 0.408529i | ||||
\(966\) | 29.8750 | + | 18.3785i | 0.961212 | + | 0.591317i | ||||
\(967\) | 6.90865 | + | 11.9661i | 0.222167 | + | 0.384805i | 0.955466 | − | 0.295102i | \(-0.0953536\pi\) |
−0.733299 | + | 0.679907i | \(0.762020\pi\) | |||||||
\(968\) | −3.00683 | + | 5.20798i | −0.0966432 | + | 0.167391i | ||||
\(969\) | −1.29122 | + | 4.49692i | −0.0414799 | + | 0.144462i | ||||
\(970\) | 2.85868 | + | 4.95139i | 0.0917868 | + | 0.158979i | ||||
\(971\) | 15.4629 | + | 26.7825i | 0.496228 | + | 0.859491i | 0.999991 | − | 0.00435055i | \(-0.00138483\pi\) |
−0.503763 | + | 0.863842i | \(0.668051\pi\) | |||||||
\(972\) | 15.3565 | − | 2.67936i | 0.492559 | − | 0.0859404i | ||||
\(973\) | −6.64128 | − | 6.77674i | −0.212910 | − | 0.217252i | ||||
\(974\) | −0.757797 | + | 1.31254i | −0.0242814 | + | 0.0420566i | ||||
\(975\) | −0.633642 | − | 0.656626i | −0.0202928 | − | 0.0210289i | ||||
\(976\) | 2.10645 | 0.0674259 | ||||||||
\(977\) | −6.88011 | −0.220114 | −0.110057 | − | 0.993925i | \(-0.535103\pi\) | ||||
−0.110057 | + | 0.993925i | \(0.535103\pi\) | |||||||
\(978\) | 4.67434 | − | 1.16366i | 0.149469 | − | 0.0372098i | ||||
\(979\) | −16.1606 | + | 27.9910i | −0.516496 | + | 0.894597i | ||||
\(980\) | −0.141315 | + | 6.99857i | −0.00451414 | + | 0.223561i | ||||
\(981\) | −19.2671 | + | 10.2268i | −0.615151 | + | 0.326515i | ||||
\(982\) | −18.0909 | − | 31.3344i | −0.577305 | − | 0.999922i | ||||
\(983\) | −24.8486 | − | 43.0390i | −0.792547 | − | 1.37273i | −0.924385 | − | 0.381460i | \(-0.875421\pi\) |
0.131838 | − | 0.991271i | \(-0.457912\pi\) | |||||||
\(984\) | −18.6691 | + | 4.64760i | −0.595148 | + | 0.148160i | ||||
\(985\) | 12.9315 | − | 22.3979i | 0.412030 | − | 0.713657i | ||||
\(986\) | −5.55489 | − | 9.62135i | −0.176904 | − | 0.306406i | ||||
\(987\) | 0.124240 | − | 4.45081i | 0.00395461 | − | 0.141671i | ||||
\(988\) | −0.138777 | + | 0.240368i | −0.00441507 | + | 0.00764713i | ||||
\(989\) | 11.5897 | + | 20.0740i | 0.368531 | + | 0.638315i | ||||
\(990\) | −5.67855 | − | 3.55402i | −0.180476 | − | 0.112954i | ||||
\(991\) | −1.99642 | + | 3.45791i | −0.0634185 | + | 0.109844i | −0.895991 | − | 0.444072i | \(-0.853534\pi\) |
0.832573 | + | 0.553916i | \(0.186867\pi\) | |||||||
\(992\) | −0.275498 | −0.00874709 | ||||||||
\(993\) | 12.9920 | − | 45.2473i | 0.412290 | − | 1.43588i | ||||
\(994\) | −0.0136732 | + | 0.00351618i | −0.000433687 | + | 0.000111526i | ||||
\(995\) | −13.4274 | − | 23.2570i | −0.425678 | − | 0.737296i | ||||
\(996\) | −18.1790 | − | 18.8384i | −0.576024 | − | 0.596918i | ||||
\(997\) | −0.868684 | − | 1.50460i | −0.0275115 | − | 0.0476513i | 0.851942 | − | 0.523636i | \(-0.175425\pi\) |
−0.879453 | + | 0.475985i | \(0.842092\pi\) | |||||||
\(998\) | 0.469827 | − | 0.813763i | 0.0148721 | − | 0.0257592i | ||||
\(999\) | 10.6104 | + | 3.46015i | 0.335697 | + | 0.109474i |
(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.151.4 | yes | 12 | |
3.2 | odd | 2 | 1890.2.i.h.991.1 | 12 | |||
7.2 | even | 3 | 630.2.l.h.331.5 | yes | 12 | ||
9.4 | even | 3 | 630.2.l.h.571.5 | yes | 12 | ||
9.5 | odd | 6 | 1890.2.l.f.361.6 | 12 | |||
21.2 | odd | 6 | 1890.2.l.f.1801.6 | 12 | |||
63.23 | odd | 6 | 1890.2.i.h.1171.1 | 12 | |||
63.58 | even | 3 | inner | 630.2.i.f.121.4 | ✓ | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
630.2.i.f.121.4 | ✓ | 12 | 63.58 | even | 3 | inner | |
630.2.i.f.151.4 | yes | 12 | 1.1 | even | 1 | trivial | |
630.2.l.h.331.5 | yes | 12 | 7.2 | even | 3 | ||
630.2.l.h.571.5 | yes | 12 | 9.4 | even | 3 | ||
1890.2.i.h.991.1 | 12 | 3.2 | odd | 2 | |||
1890.2.i.h.1171.1 | 12 | 63.23 | odd | 6 | |||
1890.2.l.f.361.6 | 12 | 9.5 | odd | 6 | |||
1890.2.l.f.1801.6 | 12 | 21.2 | odd | 6 |