Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [546,2,Mod(269,546)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(546, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 1, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("546.269");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 546.bb (of order \(6\), 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: | \(4.35983195036\) |
Analytic rank: | \(0\) |
Dimension: | \(76\) |
Relative dimension: | \(38\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 269.23 | ||
Character | \(\chi\) | \(=\) | 546.269 |
Dual form | 546.2.bb.a.341.4 |
$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).
\(n\) | \(157\) | \(365\) | \(379\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000i | 0.707107i | ||||||||
\(3\) | −1.45489 | + | 0.939845i | −0.839978 | + | 0.542620i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.886718 | − | 1.53584i | −0.396552 | − | 0.686848i | 0.596746 | − | 0.802430i | \(-0.296460\pi\) |
−0.993298 | + | 0.115582i | \(0.963127\pi\) | |||||||
\(6\) | −0.939845 | − | 1.45489i | −0.383690 | − | 0.593954i | ||||
\(7\) | −1.67305 | + | 2.04961i | −0.632355 | + | 0.774679i | ||||
\(8\) | − | 1.00000i | − | 0.353553i | ||||||
\(9\) | 1.23338 | − | 2.73473i | 0.411128 | − | 0.911578i | ||||
\(10\) | 1.53584 | − | 0.886718i | 0.485675 | − | 0.280405i | ||||
\(11\) | −0.773984 | + | 0.446860i | −0.233365 | + | 0.134733i | −0.612123 | − | 0.790762i | \(-0.709684\pi\) |
0.378758 | + | 0.925496i | \(0.376351\pi\) | |||||||
\(12\) | 1.45489 | − | 0.939845i | 0.419989 | − | 0.271310i | ||||
\(13\) | −1.84344 | − | 3.09866i | −0.511280 | − | 0.859414i | ||||
\(14\) | −2.04961 | − | 1.67305i | −0.547781 | − | 0.447142i | ||||
\(15\) | 2.73352 | + | 1.40109i | 0.705793 | + | 0.361761i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 7.49940 | 1.81887 | 0.909436 | − | 0.415844i | \(-0.136514\pi\) | ||||
0.909436 | + | 0.415844i | \(0.136514\pi\) | |||||||
\(18\) | 2.73473 | + | 1.23338i | 0.644583 | + | 0.290711i | ||||
\(19\) | −0.697770 | − | 0.402858i | −0.160079 | − | 0.0924219i | 0.417820 | − | 0.908530i | \(-0.362794\pi\) |
−0.577900 | + | 0.816108i | \(0.696128\pi\) | |||||||
\(20\) | 0.886718 | + | 1.53584i | 0.198276 | + | 0.343424i | ||||
\(21\) | 0.507788 | − | 4.55436i | 0.110808 | − | 0.993842i | ||||
\(22\) | −0.446860 | − | 0.773984i | −0.0952709 | − | 0.165014i | ||||
\(23\) | − | 5.45295i | − | 1.13702i | −0.822677 | − | 0.568509i | \(-0.807520\pi\) | ||
0.822677 | − | 0.568509i | \(-0.192480\pi\) | |||||||
\(24\) | 0.939845 | + | 1.45489i | 0.191845 | + | 0.296977i | ||||
\(25\) | 0.927464 | − | 1.60641i | 0.185493 | − | 0.321283i | ||||
\(26\) | 3.09866 | − | 1.84344i | 0.607698 | − | 0.361529i | ||||
\(27\) | 0.775795 | + | 5.13791i | 0.149302 | + | 0.988792i | ||||
\(28\) | 1.67305 | − | 2.04961i | 0.316177 | − | 0.387339i | ||||
\(29\) | 7.62822 | + | 4.40416i | 1.41653 | + | 0.817832i | 0.995992 | − | 0.0894452i | \(-0.0285094\pi\) |
0.420534 | + | 0.907277i | \(0.361843\pi\) | |||||||
\(30\) | −1.40109 | + | 2.73352i | −0.255804 | + | 0.499071i | ||||
\(31\) | −8.20495 | − | 4.73713i | −1.47365 | − | 0.850813i | −0.474092 | − | 0.880475i | \(-0.657224\pi\) |
−0.999560 | + | 0.0296621i | \(0.990557\pi\) | |||||||
\(32\) | 1.00000i | 0.176777i | ||||||||
\(33\) | 0.706079 | − | 1.37756i | 0.122913 | − | 0.239802i | ||||
\(34\) | 7.49940i | 1.28614i | ||||||||
\(35\) | 4.63139 | + | 0.752120i | 0.782849 | + | 0.127131i | ||||
\(36\) | −1.23338 | + | 2.73473i | −0.205564 | + | 0.455789i | ||||
\(37\) | 3.69465 | 0.607397 | 0.303699 | − | 0.952768i | \(-0.401778\pi\) | ||||
0.303699 | + | 0.952768i | \(0.401778\pi\) | |||||||
\(38\) | 0.402858 | − | 0.697770i | 0.0653521 | − | 0.113193i | ||||
\(39\) | 5.59426 | + | 2.77565i | 0.895799 | + | 0.444459i | ||||
\(40\) | −1.53584 | + | 0.886718i | −0.242838 | + | 0.140202i | ||||
\(41\) | 3.47099 | − | 6.01193i | 0.542078 | − | 0.938906i | −0.456707 | − | 0.889617i | \(-0.650971\pi\) |
0.998785 | − | 0.0492887i | \(-0.0156954\pi\) | |||||||
\(42\) | 4.55436 | + | 0.507788i | 0.702752 | + | 0.0783534i | ||||
\(43\) | 1.93884 | + | 3.35816i | 0.295670 | + | 0.512115i | 0.975140 | − | 0.221588i | \(-0.0711239\pi\) |
−0.679471 | + | 0.733703i | \(0.737791\pi\) | |||||||
\(44\) | 0.773984 | − | 0.446860i | 0.116682 | − | 0.0673667i | ||||
\(45\) | −5.29377 | + | 0.530658i | −0.789149 | + | 0.0791058i | ||||
\(46\) | 5.45295 | 0.803993 | ||||||||
\(47\) | −4.19126 | − | 7.25948i | −0.611358 | − | 1.05890i | −0.991012 | − | 0.133775i | \(-0.957290\pi\) |
0.379653 | − | 0.925129i | \(-0.376043\pi\) | |||||||
\(48\) | −1.45489 | + | 0.939845i | −0.209995 | + | 0.135655i | ||||
\(49\) | −1.40178 | − | 6.85821i | −0.200255 | − | 0.979744i | ||||
\(50\) | 1.60641 | + | 0.927464i | 0.227181 | + | 0.131163i | ||||
\(51\) | −10.9108 | + | 7.04827i | −1.52781 | + | 0.986956i | ||||
\(52\) | 1.84344 | + | 3.09866i | 0.255640 | + | 0.429707i | ||||
\(53\) | 2.72420 | + | 1.57281i | 0.374197 | + | 0.216043i | 0.675290 | − | 0.737552i | \(-0.264018\pi\) |
−0.301093 | + | 0.953595i | \(0.597352\pi\) | |||||||
\(54\) | −5.13791 | + | 0.775795i | −0.699181 | + | 0.105572i | ||||
\(55\) | 1.37261 | + | 0.792477i | 0.185083 | + | 0.106858i | ||||
\(56\) | 2.04961 | + | 1.67305i | 0.273890 | + | 0.223571i | ||||
\(57\) | 1.39380 | − | 0.0696839i | 0.184613 | − | 0.00922986i | ||||
\(58\) | −4.40416 | + | 7.62822i | −0.578294 | + | 1.00163i | ||||
\(59\) | 3.34899 | 0.436002 | 0.218001 | − | 0.975949i | \(-0.430046\pi\) | ||||
0.218001 | + | 0.975949i | \(0.430046\pi\) | |||||||
\(60\) | −2.73352 | − | 1.40109i | −0.352896 | − | 0.180880i | ||||
\(61\) | −7.11088 | − | 4.10547i | −0.910455 | − | 0.525652i | −0.0298776 | − | 0.999554i | \(-0.509512\pi\) |
−0.880578 | + | 0.473902i | \(0.842845\pi\) | |||||||
\(62\) | 4.73713 | − | 8.20495i | 0.601616 | − | 1.04203i | ||||
\(63\) | 3.54161 | + | 7.10331i | 0.446202 | + | 0.894933i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | −3.12443 | + | 5.57887i | −0.387538 | + | 0.691974i | ||||
\(66\) | 1.37756 | + | 0.706079i | 0.169565 | + | 0.0869123i | ||||
\(67\) | 3.99370 | + | 6.91729i | 0.487908 | + | 0.845082i | 0.999903 | − | 0.0139067i | \(-0.00442678\pi\) |
−0.511995 | + | 0.858988i | \(0.671093\pi\) | |||||||
\(68\) | −7.49940 | −0.909436 | ||||||||
\(69\) | 5.12492 | + | 7.93341i | 0.616968 | + | 0.955070i | ||||
\(70\) | −0.752120 | + | 4.63139i | −0.0898955 | + | 0.553558i | ||||
\(71\) | −1.97967 | + | 1.14296i | −0.234943 | + | 0.135645i | −0.612850 | − | 0.790199i | \(-0.709977\pi\) |
0.377907 | + | 0.925843i | \(0.376644\pi\) | |||||||
\(72\) | −2.73473 | − | 1.23338i | −0.322291 | − | 0.145356i | ||||
\(73\) | −7.54968 | − | 4.35881i | −0.883624 | − | 0.510160i | −0.0117722 | − | 0.999931i | \(-0.503747\pi\) |
−0.871851 | + | 0.489770i | \(0.837081\pi\) | |||||||
\(74\) | 3.69465i | 0.429495i | ||||||||
\(75\) | 0.160427 | + | 3.20882i | 0.0185245 | + | 0.370523i | ||||
\(76\) | 0.697770 | + | 0.402858i | 0.0800397 | + | 0.0462109i | ||||
\(77\) | 0.379030 | − | 2.33398i | 0.0431944 | − | 0.265982i | ||||
\(78\) | −2.77565 | + | 5.59426i | −0.314280 | + | 0.633426i | ||||
\(79\) | −6.40376 | − | 11.0916i | −0.720479 | − | 1.24791i | −0.960808 | − | 0.277215i | \(-0.910589\pi\) |
0.240329 | − | 0.970692i | \(-0.422745\pi\) | |||||||
\(80\) | −0.886718 | − | 1.53584i | −0.0991380 | − | 0.171712i | ||||
\(81\) | −5.95753 | − | 6.74595i | −0.661948 | − | 0.749550i | ||||
\(82\) | 6.01193 | + | 3.47099i | 0.663907 | + | 0.383307i | ||||
\(83\) | 13.8340 | 1.51847 | 0.759237 | − | 0.650814i | \(-0.225572\pi\) | ||||
0.759237 | + | 0.650814i | \(0.225572\pi\) | |||||||
\(84\) | −0.507788 | + | 4.55436i | −0.0554042 | + | 0.496921i | ||||
\(85\) | −6.64985 | − | 11.5179i | −0.721277 | − | 1.24929i | ||||
\(86\) | −3.35816 | + | 1.93884i | −0.362120 | + | 0.209070i | ||||
\(87\) | −15.2374 | + | 0.761805i | −1.63362 | + | 0.0816740i | ||||
\(88\) | 0.446860 | + | 0.773984i | 0.0476354 | + | 0.0825070i | ||||
\(89\) | −15.5163 | −1.64473 | −0.822363 | − | 0.568963i | \(-0.807345\pi\) | ||||
−0.822363 | + | 0.568963i | \(0.807345\pi\) | |||||||
\(90\) | −0.530658 | − | 5.29377i | −0.0559363 | − | 0.558013i | ||||
\(91\) | 9.43523 | + | 1.40589i | 0.989080 | + | 0.147377i | ||||
\(92\) | 5.45295i | 0.568509i | ||||||||
\(93\) | 16.3894 | − | 0.819400i | 1.69950 | − | 0.0849678i | ||||
\(94\) | 7.25948 | − | 4.19126i | 0.748758 | − | 0.432296i | ||||
\(95\) | 1.42888i | 0.146600i | ||||||||
\(96\) | −0.939845 | − | 1.45489i | −0.0959225 | − | 0.148489i | ||||
\(97\) | 4.24795 | − | 2.45256i | 0.431314 | − | 0.249019i | −0.268592 | − | 0.963254i | \(-0.586558\pi\) |
0.699906 | + | 0.714235i | \(0.253225\pi\) | |||||||
\(98\) | 6.85821 | − | 1.40178i | 0.692784 | − | 0.141601i | ||||
\(99\) | 0.267424 | + | 2.66779i | 0.0268771 | + | 0.268123i | ||||
\(100\) | −0.927464 | + | 1.60641i | −0.0927464 | + | 0.160641i | ||||
\(101\) | −8.31852 | − | 14.4081i | −0.827724 | − | 1.43366i | −0.899820 | − | 0.436262i | \(-0.856302\pi\) |
0.0720963 | − | 0.997398i | \(-0.477031\pi\) | |||||||
\(102\) | −7.04827 | − | 10.9108i | −0.697883 | − | 1.08033i | ||||
\(103\) | 7.46308 | − | 4.30881i | 0.735359 | − | 0.424560i | −0.0850206 | − | 0.996379i | \(-0.527096\pi\) |
0.820379 | + | 0.571820i | \(0.193762\pi\) | |||||||
\(104\) | −3.09866 | + | 1.84344i | −0.303849 | + | 0.180765i | ||||
\(105\) | −7.44502 | + | 3.25855i | −0.726560 | + | 0.318001i | ||||
\(106\) | −1.57281 | + | 2.72420i | −0.152765 | + | 0.264597i | ||||
\(107\) | − | 16.3289i | − | 1.57857i | −0.614027 | − | 0.789285i | \(-0.710451\pi\) | ||
0.614027 | − | 0.789285i | \(-0.289549\pi\) | |||||||
\(108\) | −0.775795 | − | 5.13791i | −0.0746509 | − | 0.494396i | ||||
\(109\) | −0.641659 | + | 1.11139i | −0.0614598 | + | 0.106452i | −0.895118 | − | 0.445829i | \(-0.852909\pi\) |
0.833658 | + | 0.552281i | \(0.186242\pi\) | |||||||
\(110\) | −0.792477 | + | 1.37261i | −0.0755597 | + | 0.130873i | ||||
\(111\) | −5.37530 | + | 3.47240i | −0.510201 | + | 0.329586i | ||||
\(112\) | −1.67305 | + | 2.04961i | −0.158089 | + | 0.193670i | ||||
\(113\) | −0.274369 | + | 0.158407i | −0.0258105 | + | 0.0149017i | −0.512850 | − | 0.858478i | \(-0.671410\pi\) |
0.487039 | + | 0.873380i | \(0.338077\pi\) | |||||||
\(114\) | 0.0696839 | + | 1.39380i | 0.00652650 | + | 0.130541i | ||||
\(115\) | −8.37485 | + | 4.83522i | −0.780959 | + | 0.450887i | ||||
\(116\) | −7.62822 | − | 4.40416i | −0.708263 | − | 0.408916i | ||||
\(117\) | −10.7477 | + | 1.21949i | −0.993624 | + | 0.112742i | ||||
\(118\) | 3.34899i | 0.308300i | ||||||||
\(119\) | −12.5469 | + | 15.3708i | −1.15017 | + | 1.40904i | ||||
\(120\) | 1.40109 | − | 2.73352i | 0.127902 | − | 0.249535i | ||||
\(121\) | −5.10063 | + | 8.83455i | −0.463694 | + | 0.803141i | ||||
\(122\) | 4.10547 | − | 7.11088i | 0.371692 | − | 0.643789i | ||||
\(123\) | 0.600391 | + | 12.0089i | 0.0541354 | + | 1.08280i | ||||
\(124\) | 8.20495 | + | 4.73713i | 0.736826 | + | 0.425407i | ||||
\(125\) | −12.1568 | −1.08733 | ||||||||
\(126\) | −7.10331 | + | 3.54161i | −0.632813 | + | 0.315512i | ||||
\(127\) | 2.45373 | − | 4.24999i | 0.217733 | − | 0.377125i | −0.736381 | − | 0.676567i | \(-0.763467\pi\) |
0.954115 | + | 0.299442i | \(0.0968003\pi\) | |||||||
\(128\) | − | 1.00000i | − | 0.0883883i | ||||||
\(129\) | −5.97694 | − | 3.06354i | −0.526240 | − | 0.269729i | ||||
\(130\) | −5.57887 | − | 3.12443i | −0.489300 | − | 0.274031i | ||||
\(131\) | −2.64301 | − | 4.57783i | −0.230921 | − | 0.399967i | 0.727158 | − | 0.686470i | \(-0.240841\pi\) |
−0.958079 | + | 0.286503i | \(0.907507\pi\) | |||||||
\(132\) | −0.706079 | + | 1.37756i | −0.0614563 | + | 0.119901i | ||||
\(133\) | 1.99311 | − | 0.756152i | 0.172824 | − | 0.0655667i | ||||
\(134\) | −6.91729 | + | 3.99370i | −0.597563 | + | 0.345003i | ||||
\(135\) | 7.20310 | − | 5.74737i | 0.619944 | − | 0.494655i | ||||
\(136\) | − | 7.49940i | − | 0.643068i | ||||||
\(137\) | − | 0.404382i | − | 0.0345487i | −0.999851 | − | 0.0172743i | \(-0.994501\pi\) | ||
0.999851 | − | 0.0172743i | \(-0.00549886\pi\) | |||||||
\(138\) | −7.93341 | + | 5.12492i | −0.675337 | + | 0.436262i | ||||
\(139\) | −3.91193 | + | 2.25855i | −0.331806 | + | 0.191568i | −0.656642 | − | 0.754202i | \(-0.728024\pi\) |
0.324837 | + | 0.945770i | \(0.394691\pi\) | |||||||
\(140\) | −4.63139 | − | 0.752120i | −0.391424 | − | 0.0635657i | ||||
\(141\) | 12.9206 | + | 6.62257i | 1.08811 | + | 0.557721i | ||||
\(142\) | −1.14296 | − | 1.97967i | −0.0959152 | − | 0.166130i | ||||
\(143\) | 2.81147 | + | 1.57455i | 0.235107 | + | 0.131671i | ||||
\(144\) | 1.23338 | − | 2.73473i | 0.102782 | − | 0.227894i | ||||
\(145\) | − | 15.6210i | − | 1.29725i | ||||||
\(146\) | 4.35881 | − | 7.54968i | 0.360738 | − | 0.624816i | ||||
\(147\) | 8.48508 | + | 8.66045i | 0.699838 | + | 0.714302i | ||||
\(148\) | −3.69465 | −0.303699 | ||||||||
\(149\) | 2.37853 | + | 1.37324i | 0.194857 | + | 0.112500i | 0.594254 | − | 0.804277i | \(-0.297447\pi\) |
−0.399398 | + | 0.916778i | \(0.630781\pi\) | |||||||
\(150\) | −3.20882 | + | 0.160427i | −0.261999 | + | 0.0130988i | ||||
\(151\) | 7.11941 | − | 12.3312i | 0.579369 | − | 1.00350i | −0.416183 | − | 0.909281i | \(-0.636632\pi\) |
0.995552 | − | 0.0942159i | \(-0.0300344\pi\) | |||||||
\(152\) | −0.402858 | + | 0.697770i | −0.0326761 | + | 0.0565966i | ||||
\(153\) | 9.24963 | − | 20.5089i | 0.747788 | − | 1.65804i | ||||
\(154\) | 2.33398 | + | 0.379030i | 0.188078 | + | 0.0305431i | ||||
\(155\) | 16.8020i | 1.34957i | ||||||||
\(156\) | −5.59426 | − | 2.77565i | −0.447900 | − | 0.222230i | ||||
\(157\) | 19.0276 | + | 10.9856i | 1.51857 | + | 0.876747i | 0.999761 | + | 0.0218580i | \(0.00695817\pi\) |
0.518810 | + | 0.854889i | \(0.326375\pi\) | |||||||
\(158\) | 11.0916 | − | 6.40376i | 0.882403 | − | 0.509456i | ||||
\(159\) | −5.44159 | + | 0.272056i | −0.431546 | + | 0.0215754i | ||||
\(160\) | 1.53584 | − | 0.886718i | 0.121419 | − | 0.0701012i | ||||
\(161\) | 11.1764 | + | 9.12307i | 0.880824 | + | 0.718999i | ||||
\(162\) | 6.74595 | − | 5.95753i | 0.530012 | − | 0.468068i | ||||
\(163\) | −2.74658 | + | 4.75722i | −0.215129 | + | 0.372614i | −0.953312 | − | 0.301986i | \(-0.902351\pi\) |
0.738183 | + | 0.674600i | \(0.235684\pi\) | |||||||
\(164\) | −3.47099 | + | 6.01193i | −0.271039 | + | 0.469453i | ||||
\(165\) | −2.74180 | + | 0.137078i | −0.213449 | + | 0.0106715i | ||||
\(166\) | 13.8340i | 1.07372i | ||||||||
\(167\) | 2.92252 | − | 5.06195i | 0.226151 | − | 0.391706i | −0.730513 | − | 0.682899i | \(-0.760719\pi\) |
0.956664 | + | 0.291193i | \(0.0940522\pi\) | |||||||
\(168\) | −4.55436 | − | 0.507788i | −0.351376 | − | 0.0391767i | ||||
\(169\) | −6.20342 | + | 11.4244i | −0.477186 | + | 0.878802i | ||||
\(170\) | 11.5179 | − | 6.64985i | 0.883381 | − | 0.510020i | ||||
\(171\) | −1.96233 | + | 1.41134i | −0.150063 | + | 0.107928i | ||||
\(172\) | −1.93884 | − | 3.35816i | −0.147835 | − | 0.256058i | ||||
\(173\) | −7.29361 | + | 12.6329i | −0.554523 | + | 0.960462i | 0.443417 | + | 0.896315i | \(0.353766\pi\) |
−0.997940 | + | 0.0641469i | \(0.979567\pi\) | |||||||
\(174\) | −0.761805 | − | 15.2374i | −0.0577523 | − | 1.15515i | ||||
\(175\) | 1.74082 | + | 4.58856i | 0.131594 | + | 0.346862i | ||||
\(176\) | −0.773984 | + | 0.446860i | −0.0583412 | + | 0.0336833i | ||||
\(177\) | −4.87240 | + | 3.14753i | −0.366232 | + | 0.236583i | ||||
\(178\) | − | 15.5163i | − | 1.16300i | ||||||
\(179\) | 8.38489 | − | 4.84102i | 0.626716 | − | 0.361835i | −0.152763 | − | 0.988263i | \(-0.548817\pi\) |
0.779479 | + | 0.626428i | \(0.215484\pi\) | |||||||
\(180\) | 5.29377 | − | 0.530658i | 0.394575 | − | 0.0395529i | ||||
\(181\) | 16.1898i | 1.20338i | 0.798731 | + | 0.601688i | \(0.205505\pi\) | ||||
−0.798731 | + | 0.601688i | \(0.794495\pi\) | |||||||
\(182\) | −1.40589 | + | 9.43523i | −0.104212 | + | 0.699385i | ||||
\(183\) | 14.2040 | − | 0.710140i | 1.04999 | − | 0.0524950i | ||||
\(184\) | −5.45295 | −0.401996 | ||||||||
\(185\) | −3.27611 | − | 5.67440i | −0.240865 | − | 0.417190i | ||||
\(186\) | 0.819400 | + | 16.3894i | 0.0600813 | + | 1.20173i | ||||
\(187\) | −5.80442 | + | 3.35118i | −0.424461 | + | 0.245063i | ||||
\(188\) | 4.19126 | + | 7.25948i | 0.305679 | + | 0.529452i | ||||
\(189\) | −11.8287 | − | 7.00593i | −0.860408 | − | 0.509606i | ||||
\(190\) | −1.42888 | −0.103662 | ||||||||
\(191\) | 13.6786 | + | 7.89736i | 0.989751 | + | 0.571433i | 0.905200 | − | 0.424986i | \(-0.139721\pi\) |
0.0845509 | + | 0.996419i | \(0.473054\pi\) | |||||||
\(192\) | 1.45489 | − | 0.939845i | 0.104997 | − | 0.0678275i | ||||
\(193\) | 0.799689 | + | 1.38510i | 0.0575629 | + | 0.0997018i | 0.893371 | − | 0.449320i | \(-0.148334\pi\) |
−0.835808 | + | 0.549022i | \(0.815000\pi\) | |||||||
\(194\) | 2.45256 | + | 4.24795i | 0.176083 | + | 0.304985i | ||||
\(195\) | −0.697584 | − | 11.0531i | −0.0499550 | − | 0.791529i | ||||
\(196\) | 1.40178 | + | 6.85821i | 0.100127 | + | 0.489872i | ||||
\(197\) | 3.83872 | + | 2.21629i | 0.273498 | + | 0.157904i | 0.630476 | − | 0.776209i | \(-0.282860\pi\) |
−0.356978 | + | 0.934113i | \(0.616193\pi\) | |||||||
\(198\) | −2.66779 | + | 0.267424i | −0.189592 | + | 0.0190050i | ||||
\(199\) | 12.3701i | 0.876891i | 0.898758 | + | 0.438446i | \(0.144471\pi\) | ||||
−0.898758 | + | 0.438446i | \(0.855529\pi\) | |||||||
\(200\) | −1.60641 | − | 0.927464i | −0.113591 | − | 0.0655816i | ||||
\(201\) | −12.3116 | − | 6.31041i | −0.868390 | − | 0.445102i | ||||
\(202\) | 14.4081 | − | 8.31852i | 1.01375 | − | 0.585289i | ||||
\(203\) | −21.7892 | + | 8.26647i | −1.52930 | + | 0.580193i | ||||
\(204\) | 10.9108 | − | 7.04827i | 0.763906 | − | 0.493478i | ||||
\(205\) | −12.3112 | −0.859848 | ||||||||
\(206\) | 4.30881 | + | 7.46308i | 0.300209 | + | 0.519977i | ||||
\(207\) | −14.9124 | − | 6.72557i | −1.03648 | − | 0.467459i | ||||
\(208\) | −1.84344 | − | 3.09866i | −0.127820 | − | 0.214854i | ||||
\(209\) | 0.720084 | 0.0498092 | ||||||||
\(210\) | −3.25855 | − | 7.44502i | −0.224861 | − | 0.513755i | ||||
\(211\) | −9.95733 | + | 17.2466i | −0.685491 | + | 1.18731i | 0.287791 | + | 0.957693i | \(0.407079\pi\) |
−0.973282 | + | 0.229612i | \(0.926254\pi\) | |||||||
\(212\) | −2.72420 | − | 1.57281i | −0.187098 | − | 0.108021i | ||||
\(213\) | 1.80598 | − | 3.52346i | 0.123744 | − | 0.241423i | ||||
\(214\) | 16.3289 | 1.11622 | ||||||||
\(215\) | 3.43840 | − | 5.95548i | 0.234497 | − | 0.406161i | ||||
\(216\) | 5.13791 | − | 0.775795i | 0.349591 | − | 0.0527862i | ||||
\(217\) | 23.4366 | − | 8.89145i | 1.59098 | − | 0.603591i | ||||
\(218\) | −1.11139 | − | 0.641659i | −0.0752726 | − | 0.0434587i | ||||
\(219\) | 15.0805 | − | 0.753961i | 1.01905 | − | 0.0509480i | ||||
\(220\) | −1.37261 | − | 0.792477i | −0.0925414 | − | 0.0534288i | ||||
\(221\) | −13.8247 | − | 23.2381i | −0.929952 | − | 1.56316i | ||||
\(222\) | −3.47240 | − | 5.37530i | −0.233052 | − | 0.360766i | ||||
\(223\) | −6.77255 | − | 3.91013i | −0.453523 | − | 0.261842i | 0.255794 | − | 0.966731i | \(-0.417663\pi\) |
−0.709317 | + | 0.704890i | \(0.750997\pi\) | |||||||
\(224\) | −2.04961 | − | 1.67305i | −0.136945 | − | 0.111786i | ||||
\(225\) | −3.24920 | − | 4.51769i | −0.216613 | − | 0.301179i | ||||
\(226\) | −0.158407 | − | 0.274369i | −0.0105371 | − | 0.0182508i | ||||
\(227\) | 22.6931 | 1.50620 | 0.753098 | − | 0.657909i | \(-0.228559\pi\) | ||||
0.753098 | + | 0.657909i | \(0.228559\pi\) | |||||||
\(228\) | −1.39380 | + | 0.0696839i | −0.0923066 | + | 0.00461493i | ||||
\(229\) | 2.94903 | − | 1.70262i | 0.194877 | − | 0.112513i | −0.399386 | − | 0.916783i | \(-0.630777\pi\) |
0.594264 | + | 0.804270i | \(0.297443\pi\) | |||||||
\(230\) | −4.83522 | − | 8.37485i | −0.318825 | − | 0.552221i | ||||
\(231\) | 1.64214 | + | 3.75191i | 0.108045 | + | 0.246857i | ||||
\(232\) | 4.40416 | − | 7.62822i | 0.289147 | − | 0.500817i | ||||
\(233\) | −5.66985 | + | 3.27349i | −0.371444 | + | 0.214453i | −0.674089 | − | 0.738650i | \(-0.735464\pi\) |
0.302645 | + | 0.953103i | \(0.402130\pi\) | |||||||
\(234\) | −1.21949 | − | 10.7477i | −0.0797208 | − | 0.702598i | ||||
\(235\) | −7.43293 | + | 12.8742i | −0.484871 | + | 0.839821i | ||||
\(236\) | −3.34899 | −0.218001 | ||||||||
\(237\) | 19.7412 | + | 10.1185i | 1.28233 | + | 0.657268i | ||||
\(238\) | −15.3708 | − | 12.5469i | −0.996343 | − | 0.813295i | ||||
\(239\) | 2.75097i | 0.177946i | 0.996034 | + | 0.0889729i | \(0.0283584\pi\) | ||||
−0.996034 | + | 0.0889729i | \(0.971642\pi\) | |||||||
\(240\) | 2.73352 | + | 1.40109i | 0.176448 | + | 0.0904402i | ||||
\(241\) | 6.12961i | 0.394843i | 0.980319 | + | 0.197421i | \(0.0632567\pi\) | ||||
−0.980319 | + | 0.197421i | \(0.936743\pi\) | |||||||
\(242\) | −8.83455 | − | 5.10063i | −0.567907 | − | 0.327881i | ||||
\(243\) | 15.0077 | + | 4.21542i | 0.962743 | + | 0.270419i | ||||
\(244\) | 7.11088 | + | 4.10547i | 0.455228 | + | 0.262826i | ||||
\(245\) | −9.29012 | + | 8.23421i | −0.593524 | + | 0.526064i | ||||
\(246\) | −12.0089 | + | 0.600391i | −0.765657 | + | 0.0382795i | ||||
\(247\) | 0.0379805 | + | 2.90480i | 0.00241664 | + | 0.184828i | ||||
\(248\) | −4.73713 | + | 8.20495i | −0.300808 | + | 0.521015i | ||||
\(249\) | −20.1268 | + | 13.0018i | −1.27549 | + | 0.823954i | ||||
\(250\) | − | 12.1568i | − | 0.768862i | ||||||
\(251\) | −6.30342 | − | 10.9178i | −0.397868 | − | 0.689128i | 0.595594 | − | 0.803285i | \(-0.296917\pi\) |
−0.993463 | + | 0.114157i | \(0.963583\pi\) | |||||||
\(252\) | −3.54161 | − | 7.10331i | −0.223101 | − | 0.447466i | ||||
\(253\) | 2.43670 | + | 4.22049i | 0.153194 | + | 0.265340i | ||||
\(254\) | 4.24999 | + | 2.45373i | 0.266668 | + | 0.153961i | ||||
\(255\) | 20.4998 | + | 10.5074i | 1.28375 | + | 0.657997i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 27.2662 | 1.70082 | 0.850411 | − | 0.526120i | \(-0.176354\pi\) | ||||
0.850411 | + | 0.526120i | \(0.176354\pi\) | |||||||
\(258\) | 3.06354 | − | 5.97694i | 0.190727 | − | 0.372108i | ||||
\(259\) | −6.18135 | + | 7.57259i | −0.384091 | + | 0.470538i | ||||
\(260\) | 3.12443 | − | 5.57887i | 0.193769 | − | 0.345987i | ||||
\(261\) | 21.4527 | − | 15.4291i | 1.32789 | − | 0.955040i | ||||
\(262\) | 4.57783 | − | 2.64301i | 0.282819 | − | 0.163286i | ||||
\(263\) | −0.487124 | + | 0.281241i | −0.0300374 | + | 0.0173421i | −0.514943 | − | 0.857224i | \(-0.672187\pi\) |
0.484906 | + | 0.874566i | \(0.338854\pi\) | |||||||
\(264\) | −1.37756 | − | 0.706079i | −0.0847827 | − | 0.0434562i | ||||
\(265\) | − | 5.57857i | − | 0.342689i | ||||||
\(266\) | 0.756152 | + | 1.99311i | 0.0463627 | + | 0.122205i | ||||
\(267\) | 22.5745 | − | 14.5829i | 1.38153 | − | 0.892461i | ||||
\(268\) | −3.99370 | − | 6.91729i | −0.243954 | − | 0.422541i | ||||
\(269\) | −3.93196 | −0.239736 | −0.119868 | − | 0.992790i | \(-0.538247\pi\) | ||||
−0.119868 | + | 0.992790i | \(0.538247\pi\) | |||||||
\(270\) | 5.74737 | + | 7.20310i | 0.349774 | + | 0.438367i | ||||
\(271\) | − | 0.877195i | − | 0.0532858i | −0.999645 | − | 0.0266429i | \(-0.991518\pi\) | ||
0.999645 | − | 0.0266429i | \(-0.00848170\pi\) | |||||||
\(272\) | 7.49940 | 0.454718 | ||||||||
\(273\) | −15.0485 | + | 6.82224i | −0.910776 | + | 0.412901i | ||||
\(274\) | 0.404382 | 0.0244296 | ||||||||
\(275\) | 1.65779i | 0.0999683i | ||||||||
\(276\) | −5.12492 | − | 7.93341i | −0.308484 | − | 0.477535i | ||||
\(277\) | −12.6070 | −0.757482 | −0.378741 | − | 0.925503i | \(-0.623643\pi\) | ||||
−0.378741 | + | 0.925503i | \(0.623643\pi\) | |||||||
\(278\) | −2.25855 | − | 3.91193i | −0.135459 | − | 0.234622i | ||||
\(279\) | −23.0746 | + | 16.5956i | −1.38144 | + | 0.993556i | ||||
\(280\) | 0.752120 | − | 4.63139i | 0.0449477 | − | 0.276779i | ||||
\(281\) | − | 6.37716i | − | 0.380429i | −0.981743 | − | 0.190215i | \(-0.939082\pi\) | ||
0.981743 | − | 0.190215i | \(-0.0609184\pi\) | |||||||
\(282\) | −6.62257 | + | 12.9206i | −0.394368 | + | 0.769410i | ||||
\(283\) | 0.658885 | − | 0.380407i | 0.0391666 | − | 0.0226129i | −0.480289 | − | 0.877110i | \(-0.659468\pi\) |
0.519455 | + | 0.854498i | \(0.326135\pi\) | |||||||
\(284\) | 1.97967 | − | 1.14296i | 0.117472 | − | 0.0678223i | ||||
\(285\) | −1.34293 | − | 2.07886i | −0.0795483 | − | 0.123141i | ||||
\(286\) | −1.57455 | + | 2.81147i | −0.0931053 | + | 0.166245i | ||||
\(287\) | 6.51495 | + | 17.1725i | 0.384565 | + | 1.01366i | ||||
\(288\) | 2.73473 | + | 1.23338i | 0.161146 | + | 0.0726778i | ||||
\(289\) | 39.2410 | 2.30829 | ||||||||
\(290\) | 15.6210 | 0.917295 | ||||||||
\(291\) | −3.87526 | + | 7.56061i | −0.227172 | + | 0.443211i | ||||
\(292\) | 7.54968 | + | 4.35881i | 0.441812 | + | 0.255080i | ||||
\(293\) | −6.35235 | − | 11.0026i | −0.371108 | − | 0.642778i | 0.618628 | − | 0.785684i | \(-0.287689\pi\) |
−0.989736 | + | 0.142906i | \(0.954355\pi\) | |||||||
\(294\) | −8.66045 | + | 8.48508i | −0.505088 | + | 0.494860i | ||||
\(295\) | −2.96961 | − | 5.14352i | −0.172897 | − | 0.299467i | ||||
\(296\) | − | 3.69465i | − | 0.214747i | ||||||
\(297\) | −2.89638 | − | 3.62999i | −0.168065 | − | 0.210633i | ||||
\(298\) | −1.37324 | + | 2.37853i | −0.0795499 | + | 0.137784i | ||||
\(299\) | −16.8968 | + | 10.0522i | −0.977169 | + | 0.581334i | ||||
\(300\) | −0.160427 | − | 3.20882i | −0.00926227 | − | 0.185261i | ||||
\(301\) | −10.1267 | − | 1.64453i | −0.583693 | − | 0.0947893i | ||||
\(302\) | 12.3312 | + | 7.11941i | 0.709579 | + | 0.409676i | ||||
\(303\) | 25.6439 | + | 13.1440i | 1.47320 | + | 0.755104i | ||||
\(304\) | −0.697770 | − | 0.402858i | −0.0400199 | − | 0.0231055i | ||||
\(305\) | 14.5616i | 0.833793i | ||||||||
\(306\) | 20.5089 | + | 9.24963i | 1.17241 | + | 0.528766i | ||||
\(307\) | 2.90418i | 0.165750i | 0.996560 | + | 0.0828751i | \(0.0264102\pi\) | ||||
−0.996560 | + | 0.0828751i | \(0.973590\pi\) | |||||||
\(308\) | −0.379030 | + | 2.33398i | −0.0215972 | + | 0.132991i | ||||
\(309\) | −6.80831 | + | 13.2830i | −0.387311 | + | 0.755641i | ||||
\(310\) | −16.8020 | −0.954288 | ||||||||
\(311\) | 9.08284 | − | 15.7319i | 0.515040 | − | 0.892076i | −0.484807 | − | 0.874621i | \(-0.661110\pi\) |
0.999848 | − | 0.0174552i | \(-0.00555643\pi\) | |||||||
\(312\) | 2.77565 | − | 5.59426i | 0.157140 | − | 0.316713i | ||||
\(313\) | 2.78744 | − | 1.60933i | 0.157556 | − | 0.0909648i | −0.419149 | − | 0.907917i | \(-0.637672\pi\) |
0.576705 | + | 0.816953i | \(0.304338\pi\) | |||||||
\(314\) | −10.9856 | + | 19.0276i | −0.619954 | + | 1.07379i | ||||
\(315\) | 7.76913 | − | 11.7380i | 0.437741 | − | 0.661360i | ||||
\(316\) | 6.40376 | + | 11.0916i | 0.360240 | + | 0.623953i | ||||
\(317\) | 0.947773 | − | 0.547197i | 0.0532322 | − | 0.0307336i | −0.473148 | − | 0.880983i | \(-0.656882\pi\) |
0.526380 | + | 0.850249i | \(0.323549\pi\) | |||||||
\(318\) | −0.272056 | − | 5.44159i | −0.0152561 | − | 0.305149i | ||||
\(319\) | −7.87217 | −0.440757 | ||||||||
\(320\) | 0.886718 | + | 1.53584i | 0.0495690 | + | 0.0858561i | ||||
\(321\) | 15.3466 | + | 23.7566i | 0.856563 | + | 1.32596i | ||||
\(322\) | −9.12307 | + | 11.1764i | −0.508409 | + | 0.622836i | ||||
\(323\) | −5.23286 | − | 3.02119i | −0.291164 | − | 0.168104i | ||||
\(324\) | 5.95753 | + | 6.74595i | 0.330974 | + | 0.374775i | ||||
\(325\) | −6.68747 | + | 0.0874392i | −0.370954 | + | 0.00485025i | ||||
\(326\) | −4.75722 | − | 2.74658i | −0.263478 | − | 0.152119i | ||||
\(327\) | −0.110990 | − | 2.22000i | −0.00613778 | − | 0.122766i | ||||
\(328\) | −6.01193 | − | 3.47099i | −0.331953 | − | 0.191653i | ||||
\(329\) | 21.8913 | + | 3.55506i | 1.20691 | + | 0.195997i | ||||
\(330\) | −0.137078 | − | 2.74180i | −0.00754589 | − | 0.150931i | ||||
\(331\) | 10.8134 | − | 18.7294i | 0.594360 | − | 1.02946i | −0.399276 | − | 0.916831i | \(-0.630739\pi\) |
0.993637 | − | 0.112632i | \(-0.0359281\pi\) | |||||||
\(332\) | −13.8340 | −0.759237 | ||||||||
\(333\) | 4.55692 | − | 10.1039i | 0.249718 | − | 0.553690i | ||||
\(334\) | 5.06195 | + | 2.92252i | 0.276978 | + | 0.159913i | ||||
\(335\) | 7.08257 | − | 12.2674i | 0.386962 | − | 0.670238i | ||||
\(336\) | 0.507788 | − | 4.55436i | 0.0277021 | − | 0.248460i | ||||
\(337\) | 16.9544 | 0.923564 | 0.461782 | − | 0.886993i | \(-0.347210\pi\) | ||||
0.461782 | + | 0.886993i | \(0.347210\pi\) | |||||||
\(338\) | −11.4244 | − | 6.20342i | −0.621407 | − | 0.337422i | ||||
\(339\) | 0.250298 | − | 0.488329i | 0.0135943 | − | 0.0265224i | ||||
\(340\) | 6.64985 | + | 11.5179i | 0.360639 | + | 0.624645i | ||||
\(341\) | 8.46733 | 0.458532 | ||||||||
\(342\) | −1.41134 | − | 1.96233i | −0.0763164 | − | 0.106110i | ||||
\(343\) | 16.4019 | + | 8.60105i | 0.885619 | + | 0.464413i | ||||
\(344\) | 3.35816 | − | 1.93884i | 0.181060 | − | 0.104535i | ||||
\(345\) | 7.64009 | − | 14.9058i | 0.411329 | − | 0.802499i | ||||
\(346\) | −12.6329 | − | 7.29361i | −0.679149 | − | 0.392107i | ||||
\(347\) | − | 22.1793i | − | 1.19065i | −0.803486 | − | 0.595324i | \(-0.797024\pi\) | ||
0.803486 | − | 0.595324i | \(-0.202976\pi\) | |||||||
\(348\) | 15.2374 | − | 0.761805i | 0.816811 | − | 0.0408370i | ||||
\(349\) | −9.10947 | − | 5.25936i | −0.487619 | − | 0.281527i | 0.235967 | − | 0.971761i | \(-0.424174\pi\) |
−0.723586 | + | 0.690234i | \(0.757508\pi\) | |||||||
\(350\) | −4.58856 | + | 1.74082i | −0.245269 | + | 0.0930509i | ||||
\(351\) | 14.4905 | − | 11.8754i | 0.773447 | − | 0.633861i | ||||
\(352\) | −0.446860 | − | 0.773984i | −0.0238177 | − | 0.0412535i | ||||
\(353\) | 12.5837 | + | 21.7956i | 0.669762 | + | 1.16006i | 0.977971 | + | 0.208743i | \(0.0669372\pi\) |
−0.308209 | + | 0.951319i | \(0.599729\pi\) | |||||||
\(354\) | −3.14753 | − | 4.87240i | −0.167290 | − | 0.258965i | ||||
\(355\) | 3.51081 | + | 2.02697i | 0.186335 | + | 0.107580i | ||||
\(356\) | 15.5163 | 0.822363 | ||||||||
\(357\) | 3.80810 | − | 34.1549i | 0.201546 | − | 1.80767i | ||||
\(358\) | 4.84102 | + | 8.38489i | 0.255856 | + | 0.443155i | ||||
\(359\) | −20.7408 | + | 11.9747i | −1.09466 | + | 0.632002i | −0.934813 | − | 0.355140i | \(-0.884433\pi\) |
−0.159846 | + | 0.987142i | \(0.551100\pi\) | |||||||
\(360\) | 0.530658 | + | 5.29377i | 0.0279681 | + | 0.279006i | ||||
\(361\) | −9.17541 | − | 15.8923i | −0.482916 | − | 0.836436i | ||||
\(362\) | −16.1898 | −0.850915 | ||||||||
\(363\) | −0.882277 | − | 17.6471i | −0.0463075 | − | 0.926231i | ||||
\(364\) | −9.43523 | − | 1.40589i | −0.494540 | − | 0.0736887i | ||||
\(365\) | 15.4601i | 0.809221i | ||||||||
\(366\) | 0.710140 | + | 14.2040i | 0.0371196 | + | 0.742456i | ||||
\(367\) | −12.3837 | + | 7.14973i | −0.646423 | + | 0.373213i | −0.787085 | − | 0.616845i | \(-0.788411\pi\) |
0.140661 | + | 0.990058i | \(0.455077\pi\) | |||||||
\(368\) | − | 5.45295i | − | 0.284254i | ||||||
\(369\) | −12.1600 | − | 16.9072i | −0.633023 | − | 0.880156i | ||||
\(370\) | 5.67440 | − | 3.27611i | 0.294998 | − | 0.170317i | ||||
\(371\) | −7.78138 | + | 2.95213i | −0.403989 | + | 0.153267i | ||||
\(372\) | −16.3894 | + | 0.819400i | −0.849752 | + | 0.0424839i | ||||
\(373\) | −2.68705 | + | 4.65411i | −0.139130 | + | 0.240981i | −0.927168 | − | 0.374647i | \(-0.877764\pi\) |
0.788037 | + | 0.615627i | \(0.211097\pi\) | |||||||
\(374\) | −3.35118 | − | 5.80442i | −0.173285 | − | 0.300139i | ||||
\(375\) | 17.6867 | − | 11.4255i | 0.913338 | − | 0.590009i | ||||
\(376\) | −7.25948 | + | 4.19126i | −0.374379 | + | 0.216148i | ||||
\(377\) | −0.415214 | − | 31.7561i | −0.0213846 | − | 1.63552i | ||||
\(378\) | 7.00593 | − | 11.8287i | 0.360346 | − | 0.608400i | ||||
\(379\) | 9.34507 | − | 16.1861i | 0.480024 | − | 0.831426i | −0.519714 | − | 0.854341i | \(-0.673961\pi\) |
0.999737 | + | 0.0229149i | \(0.00729466\pi\) | |||||||
\(380\) | − | 1.42888i | − | 0.0733002i | ||||||
\(381\) | 0.424432 | + | 8.48937i | 0.0217443 | + | 0.434924i | ||||
\(382\) | −7.89736 | + | 13.6786i | −0.404064 | + | 0.699859i | ||||
\(383\) | −16.4074 | + | 28.4184i | −0.838379 | + | 1.45211i | 0.0528709 | + | 0.998601i | \(0.483163\pi\) |
−0.891250 | + | 0.453513i | \(0.850171\pi\) | |||||||
\(384\) | 0.939845 | + | 1.45489i | 0.0479613 | + | 0.0742443i | ||||
\(385\) | −3.92072 | + | 1.48746i | −0.199818 | + | 0.0758078i | ||||
\(386\) | −1.38510 | + | 0.799689i | −0.0704998 | + | 0.0407031i | ||||
\(387\) | 11.5750 | − | 1.16030i | 0.588391 | − | 0.0589814i | ||||
\(388\) | −4.24795 | + | 2.45256i | −0.215657 | + | 0.124510i | ||||
\(389\) | 7.54767 | + | 4.35765i | 0.382682 | + | 0.220941i | 0.678984 | − | 0.734153i | \(-0.262420\pi\) |
−0.296303 | + | 0.955094i | \(0.595754\pi\) | |||||||
\(390\) | 11.0531 | − | 0.697584i | 0.559696 | − | 0.0353235i | ||||
\(391\) | − | 40.8938i | − | 2.06809i | ||||||
\(392\) | −6.85821 | + | 1.40178i | −0.346392 | + | 0.0708007i | ||||
\(393\) | 8.14774 | + | 4.17620i | 0.410999 | + | 0.210661i | ||||
\(394\) | −2.21629 | + | 3.83872i | −0.111655 | + | 0.193392i | ||||
\(395\) | −11.3566 | + | 19.6703i | −0.571415 | + | 0.989720i | ||||
\(396\) | −0.267424 | − | 2.66779i | −0.0134386 | − | 0.134061i | ||||
\(397\) | −33.7920 | − | 19.5098i | −1.69597 | − | 0.979170i | −0.949508 | − | 0.313744i | \(-0.898417\pi\) |
−0.746464 | − | 0.665426i | \(-0.768250\pi\) | |||||||
\(398\) | −12.3701 | −0.620056 | ||||||||
\(399\) | −2.18908 | + | 2.97333i | −0.109591 | + | 0.148852i | ||||
\(400\) | 0.927464 | − | 1.60641i | 0.0463732 | − | 0.0803207i | ||||
\(401\) | − | 7.14319i | − | 0.356714i | −0.983966 | − | 0.178357i | \(-0.942922\pi\) | ||
0.983966 | − | 0.178357i | \(-0.0570782\pi\) | |||||||
\(402\) | 6.31041 | − | 12.3116i | 0.314734 | − | 0.614045i | ||||
\(403\) | 0.446605 | + | 34.1570i | 0.0222470 | + | 1.70148i | ||||
\(404\) | 8.31852 | + | 14.4081i | 0.413862 | + | 0.716830i | ||||
\(405\) | −5.07804 | + | 15.1316i | −0.252330 | + | 0.751894i | ||||
\(406\) | −8.26647 | − | 21.7892i | −0.410258 | − | 1.08138i | ||||
\(407\) | −2.85960 | + | 1.65099i | −0.141745 | + | 0.0818367i | ||||
\(408\) | 7.04827 | + | 10.9108i | 0.348942 | + | 0.540163i | ||||
\(409\) | − | 14.9068i | − | 0.737095i | −0.929609 | − | 0.368548i | \(-0.879855\pi\) | ||
0.929609 | − | 0.368548i | \(-0.120145\pi\) | |||||||
\(410\) | − | 12.3112i | − | 0.608004i | ||||||
\(411\) | 0.380056 | + | 0.588329i | 0.0187468 | + | 0.0290201i | ||||
\(412\) | −7.46308 | + | 4.30881i | −0.367679 | + | 0.212280i | ||||
\(413\) | −5.60304 | + | 6.86412i | −0.275708 | + | 0.337761i | ||||
\(414\) | 6.72557 | − | 14.9124i | 0.330544 | − | 0.732902i | ||||
\(415\) | −12.2668 | − | 21.2468i | −0.602154 | − | 1.04296i | ||||
\(416\) | 3.09866 | − | 1.84344i | 0.151924 | − | 0.0903823i | ||||
\(417\) | 3.56872 | − | 6.96255i | 0.174761 | − | 0.340957i | ||||
\(418\) | 0.720084i | 0.0352205i | ||||||||
\(419\) | −10.6067 | + | 18.3714i | −0.518172 | + | 0.897500i | 0.481605 | + | 0.876388i | \(0.340054\pi\) |
−0.999777 | + | 0.0211116i | \(0.993279\pi\) | |||||||
\(420\) | 7.44502 | − | 3.25855i | 0.363280 | − | 0.159001i | ||||
\(421\) | 1.98956 | 0.0969651 | 0.0484825 | − | 0.998824i | \(-0.484561\pi\) | ||||
0.0484825 | + | 0.998824i | \(0.484561\pi\) | |||||||
\(422\) | −17.2466 | − | 9.95733i | −0.839551 | − | 0.484715i | ||||
\(423\) | −25.0222 | + | 2.50827i | −1.21662 | + | 0.121956i | ||||
\(424\) | 1.57281 | − | 2.72420i | 0.0763826 | − | 0.132299i | ||||
\(425\) | 6.95542 | − | 12.0471i | 0.337388 | − | 0.584373i | ||||
\(426\) | 3.52346 | + | 1.80598i | 0.170712 | + | 0.0875001i | ||||
\(427\) | 20.3115 | − | 7.70585i | 0.982942 | − | 0.372912i | ||||
\(428\) | 16.3289i | 0.789285i | ||||||||
\(429\) | −5.57020 | + | 0.351546i | −0.268932 | + | 0.0169728i | ||||
\(430\) | 5.95548 | + | 3.43840i | 0.287199 | + | 0.165814i | ||||
\(431\) | 12.5888 | − | 7.26815i | 0.606381 | − | 0.350094i | −0.165167 | − | 0.986266i | \(-0.552816\pi\) |
0.771548 | + | 0.636171i | \(0.219483\pi\) | |||||||
\(432\) | 0.775795 | + | 5.13791i | 0.0373255 | + | 0.247198i | ||||
\(433\) | −1.17784 | + | 0.680025i | −0.0566033 | + | 0.0326799i | −0.528035 | − | 0.849223i | \(-0.677071\pi\) |
0.471431 | + | 0.881903i | \(0.343738\pi\) | |||||||
\(434\) | 8.89145 | + | 23.4366i | 0.426803 | + | 1.12499i | ||||
\(435\) | 14.6813 | + | 22.7267i | 0.703914 | + | 1.08966i | ||||
\(436\) | 0.641659 | − | 1.11139i | 0.0307299 | − | 0.0532258i | ||||
\(437\) | −2.19676 | + | 3.80490i | −0.105085 | + | 0.182013i | ||||
\(438\) | 0.753961 | + | 15.0805i | 0.0360257 | + | 0.720576i | ||||
\(439\) | − | 29.8566i | − | 1.42498i | −0.701684 | − | 0.712488i | \(-0.747568\pi\) | ||
0.701684 | − | 0.712488i | \(-0.252432\pi\) | |||||||
\(440\) | 0.792477 | − | 1.37261i | 0.0377799 | − | 0.0654366i | ||||
\(441\) | −20.4843 | − | 4.62529i | −0.975443 | − | 0.220252i | ||||
\(442\) | 23.2381 | − | 13.8247i | 1.10532 | − | 0.657575i | ||||
\(443\) | 31.3793 | − | 18.1168i | 1.49087 | − | 0.860757i | 0.490929 | − | 0.871200i | \(-0.336658\pi\) |
0.999945 | + | 0.0104432i | \(0.00332424\pi\) | |||||||
\(444\) | 5.37530 | − | 3.47240i | 0.255100 | − | 0.164793i | ||||
\(445\) | 13.7586 | + | 23.8306i | 0.652220 | + | 1.12968i | ||||
\(446\) | 3.91013 | − | 6.77255i | 0.185150 | − | 0.320690i | ||||
\(447\) | −4.75112 | + | 0.237535i | −0.224720 | + | 0.0112350i | ||||
\(448\) | 1.67305 | − | 2.04961i | 0.0790444 | − | 0.0968349i | ||||
\(449\) | −28.3824 | + | 16.3866i | −1.33945 | + | 0.773331i | −0.986726 | − | 0.162397i | \(-0.948078\pi\) |
−0.352723 | + | 0.935728i | \(0.614744\pi\) | |||||||
\(450\) | 4.51769 | − | 3.24920i | 0.212966 | − | 0.153169i | ||||
\(451\) | 6.20419i | 0.292144i | ||||||||
\(452\) | 0.274369 | − | 0.158407i | 0.0129052 | − | 0.00745085i | ||||
\(453\) | 1.23147 | + | 24.6316i | 0.0578596 | + | 1.15729i | ||||
\(454\) | 22.6931i | 1.06504i | ||||||||
\(455\) | −6.20716 | − | 15.7376i | −0.290996 | − | 0.737791i | ||||
\(456\) | −0.0696839 | − | 1.39380i | −0.00326325 | − | 0.0652706i | ||||
\(457\) | −10.8965 | −0.509718 | −0.254859 | − | 0.966978i | \(-0.582029\pi\) | ||||
−0.254859 | + | 0.966978i | \(0.582029\pi\) | |||||||
\(458\) | 1.70262 | + | 2.94903i | 0.0795584 | + | 0.137799i | ||||
\(459\) | 5.81800 | + | 38.5313i | 0.271561 | + | 1.79849i | ||||
\(460\) | 8.37485 | − | 4.83522i | 0.390479 | − | 0.225443i | ||||
\(461\) | 16.4579 | + | 28.5059i | 0.766520 | + | 1.32765i | 0.939439 | + | 0.342715i | \(0.111347\pi\) |
−0.172919 | + | 0.984936i | \(0.555320\pi\) | |||||||
\(462\) | −3.75191 | + | 1.64214i | −0.174555 | + | 0.0763992i | ||||
\(463\) | −9.98781 | −0.464173 | −0.232086 | − | 0.972695i | \(-0.574555\pi\) | ||||
−0.232086 | + | 0.972695i | \(0.574555\pi\) | |||||||
\(464\) | 7.62822 | + | 4.40416i | 0.354131 | + | 0.204458i | ||||
\(465\) | −15.7913 | − | 24.4449i | −0.732302 | − | 1.13361i | ||||
\(466\) | −3.27349 | − | 5.66985i | −0.151641 | − | 0.262651i | ||||
\(467\) | 10.4424 | + | 18.0868i | 0.483217 | + | 0.836956i | 0.999814 | − | 0.0192723i | \(-0.00613493\pi\) |
−0.516597 | + | 0.856228i | \(0.672802\pi\) | |||||||
\(468\) | 10.7477 | − | 1.21949i | 0.496812 | − | 0.0563711i | ||||
\(469\) | −20.8594 | − | 3.38748i | −0.963198 | − | 0.156419i | ||||
\(470\) | −12.8742 | − | 7.43293i | −0.593843 | − | 0.342855i | ||||
\(471\) | −38.0078 | + | 1.90023i | −1.75131 | + | 0.0875578i | ||||
\(472\) | − | 3.34899i | − | 0.154150i | ||||||
\(473\) | −3.00126 | − | 1.73278i | −0.137998 | − | 0.0796732i | ||||
\(474\) | −10.1185 | + | 19.7412i | −0.464759 | + | 0.906741i | ||||
\(475\) | −1.29431 | + | 0.747272i | −0.0593872 | + | 0.0342872i | ||||
\(476\) | 12.5469 | − | 15.3708i | 0.575086 | − | 0.704521i | ||||
\(477\) | 7.66120 | − | 5.51006i | 0.350782 | − | 0.252289i | ||||
\(478\) | −2.75097 | −0.125827 | ||||||||
\(479\) | 5.93024 | + | 10.2715i | 0.270960 | + | 0.469316i | 0.969108 | − | 0.246637i | \(-0.0793256\pi\) |
−0.698148 | + | 0.715953i | \(0.745992\pi\) | |||||||
\(480\) | −1.40109 | + | 2.73352i | −0.0639509 | + | 0.124768i | ||||
\(481\) | −6.81089 | − | 11.4485i | −0.310550 | − | 0.522006i | ||||
\(482\) | −6.12961 | −0.279196 | ||||||||
\(483\) | −24.8347 | − | 2.76894i | −1.13002 | − | 0.125991i | ||||
\(484\) | 5.10063 | − | 8.83455i | 0.231847 | − | 0.401571i | ||||
\(485\) | −7.53347 | − | 4.34945i | −0.342077 | − | 0.197498i | ||||
\(486\) | −4.21542 | + | 15.0077i | −0.191215 | + | 0.680762i | ||||
\(487\) | −18.9879 | −0.860422 | −0.430211 | − | 0.902728i | \(-0.641561\pi\) | ||||
−0.430211 | + | 0.902728i | \(0.641561\pi\) | |||||||
\(488\) | −4.10547 | + | 7.11088i | −0.185846 | + | 0.321895i | ||||
\(489\) | −0.475088 | − | 9.50257i | −0.0214842 | − | 0.429721i | ||||
\(490\) | −8.23421 | − | 9.29012i | −0.371983 | − | 0.419685i | ||||
\(491\) | −22.5331 | − | 13.0095i | −1.01691 | − | 0.587111i | −0.103699 | − | 0.994609i | \(-0.533068\pi\) |
−0.913206 | + | 0.407498i | \(0.866401\pi\) | |||||||
\(492\) | −0.600391 | − | 12.0089i | −0.0270677 | − | 0.541401i | ||||
\(493\) | 57.2071 | + | 33.0285i | 2.57648 | + | 1.48753i | ||||
\(494\) | −2.90480 | + | 0.0379805i | −0.130693 | + | 0.00170882i | ||||
\(495\) | 3.86017 | − | 2.77630i | 0.173502 | − | 0.124785i | ||||
\(496\) | −8.20495 | − | 4.73713i | −0.368413 | − | 0.212703i | ||||
\(497\) | 0.969467 | − | 5.96978i | 0.0434866 | − | 0.267781i | ||||
\(498\) | −13.0018 | − | 20.1268i | −0.582624 | − | 0.901905i | ||||
\(499\) | −5.42439 | − | 9.39532i | −0.242829 | − | 0.420592i | 0.718690 | − | 0.695331i | \(-0.244742\pi\) |
−0.961519 | + | 0.274738i | \(0.911409\pi\) | |||||||
\(500\) | 12.1568 | 0.543667 | ||||||||
\(501\) | 0.505520 | + | 10.1113i | 0.0225850 | + | 0.451739i | ||||
\(502\) | 10.9178 | − | 6.30342i | 0.487287 | − | 0.281335i | ||||
\(503\) | −4.86978 | − | 8.43471i | −0.217133 | − | 0.376085i | 0.736797 | − | 0.676114i | \(-0.236337\pi\) |
−0.953930 | + | 0.300029i | \(0.903004\pi\) | |||||||
\(504\) | 7.10331 | − | 3.54161i | 0.316406 | − | 0.157756i | ||||
\(505\) | −14.7524 | + | 25.5518i | −0.656471 | + | 1.13704i | ||||
\(506\) | −4.22049 | + | 2.43670i | −0.187624 | + | 0.108325i | ||||
\(507\) | −1.71193 | − | 22.4515i | −0.0760293 | − | 0.997106i | ||||
\(508\) | −2.45373 | + | 4.24999i | −0.108867 | + | 0.188563i | ||||
\(509\) | −11.4969 | −0.509590 | −0.254795 | − | 0.966995i | \(-0.582008\pi\) | ||||
−0.254795 | + | 0.966995i | \(0.582008\pi\) | |||||||
\(510\) | −10.5074 | + | 20.4998i | −0.465274 | + | 0.907746i | ||||
\(511\) | 21.5649 | − | 8.18136i | 0.953974 | − | 0.361922i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 1.52852 | − | 3.89762i | 0.0674858 | − | 0.172084i | ||||
\(514\) | 27.2662i | 1.20266i | ||||||||
\(515\) | −13.2353 | − | 7.64139i | −0.583216 | − | 0.336720i | ||||
\(516\) | 5.97694 | + | 3.06354i | 0.263120 | + | 0.134865i | ||||
\(517\) | 6.48794 | + | 3.74581i | 0.285339 | + | 0.164741i | ||||
\(518\) | −7.57259 | − | 6.18135i | −0.332721 | − | 0.271593i | ||||
\(519\) | −1.26161 | − | 25.2343i | −0.0553783 | − | 1.10766i | ||||
\(520\) | 5.57887 | + | 3.12443i | 0.244650 | + | 0.137016i | ||||
\(521\) | 1.77397 | − | 3.07261i | 0.0777191 | − | 0.134613i | −0.824546 | − | 0.565794i | \(-0.808570\pi\) |
0.902265 | + | 0.431181i | \(0.141903\pi\) | |||||||
\(522\) | 15.4291 | + | 21.4527i | 0.675316 | + | 0.938960i | ||||
\(523\) | 11.9115i | 0.520854i | 0.965494 | + | 0.260427i | \(0.0838634\pi\) | ||||
−0.965494 | + | 0.260427i | \(0.916137\pi\) | |||||||
\(524\) | 2.64301 | + | 4.57783i | 0.115461 | + | 0.199984i | ||||
\(525\) | −6.84523 | − | 5.03972i | −0.298750 | − | 0.219951i | ||||
\(526\) | −0.281241 | − | 0.487124i | −0.0122627 | − | 0.0212396i | ||||
\(527\) | −61.5322 | − | 35.5256i | −2.68038 | − | 1.54752i | ||||
\(528\) | 0.706079 | − | 1.37756i | 0.0307281 | − | 0.0599504i | ||||
\(529\) | −6.73462 | −0.292809 | ||||||||
\(530\) | 5.57857 | 0.242318 | ||||||||
\(531\) | 4.13059 | − | 9.15860i | 0.179252 | − | 0.397449i | ||||
\(532\) | −1.99311 | + | 0.756152i | −0.0864121 | + | 0.0327833i | ||||
\(533\) | −25.0275 | + | 0.327237i | −1.08406 | + | 0.0141742i | ||||
\(534\) | 14.5829 | + | 22.5745i | 0.631065 | + | 0.976893i | ||||
\(535\) | −25.0785 | + | 14.4791i | −1.08424 | + | 0.625985i | ||||
\(536\) | 6.91729 | − | 3.99370i | 0.298781 | − | 0.172502i | ||||
\(537\) | −7.64925 | + | 14.9236i | −0.330089 | + | 0.644002i | ||||
\(538\) | − | 3.93196i | − | 0.169519i | ||||||
\(539\) | 4.14962 | + | 4.68174i | 0.178737 | + | 0.201657i | ||||
\(540\) | −7.20310 | + | 5.74737i | −0.309972 | + | 0.247328i | ||||
\(541\) | 8.93957 | + | 15.4838i | 0.384342 | + | 0.665700i | 0.991678 | − | 0.128745i | \(-0.0410950\pi\) |
−0.607336 | + | 0.794445i | \(0.707762\pi\) | |||||||
\(542\) | 0.877195 | 0.0376788 | ||||||||
\(543\) | −15.2159 | − | 23.5543i | −0.652975 | − | 1.01081i | ||||
\(544\) | 7.49940i | 0.321534i | ||||||||
\(545\) | 2.27588 | 0.0974881 | ||||||||
\(546\) | −6.82224 | − | 15.0485i | −0.291965 | − | 0.644016i | ||||
\(547\) | −37.3187 | −1.59563 | −0.797817 | − | 0.602899i | \(-0.794012\pi\) | ||||
−0.797817 | + | 0.602899i | \(0.794012\pi\) | |||||||
\(548\) | 0.404382i | 0.0172743i | ||||||||
\(549\) | −19.9978 | + | 14.3828i | −0.853486 | + | 0.613841i | ||||
\(550\) | −1.65779 | −0.0706882 | ||||||||
\(551\) | −3.54850 | − | 6.14618i | −0.151171 | − | 0.261836i | ||||
\(552\) | 7.93341 | − | 5.12492i | 0.337668 | − | 0.218131i | ||||
\(553\) | 33.4473 | + | 5.43171i | 1.42233 | + | 0.230980i | ||||
\(554\) | − | 12.6070i | − | 0.535621i | ||||||
\(555\) | 10.0994 | + | 5.17656i | 0.428697 | + | 0.219733i | ||||
\(556\) | 3.91193 | − | 2.25855i | 0.165903 | − | 0.0957840i | ||||
\(557\) | −2.21001 | + | 1.27595i | −0.0936410 | + | 0.0540637i | −0.546089 | − | 0.837727i | \(-0.683884\pi\) |
0.452448 | + | 0.891791i | \(0.350551\pi\) | |||||||
\(558\) | −16.5956 | − | 23.0746i | −0.702550 | − | 0.976827i | ||||
\(559\) | 6.83168 | − | 12.1984i | 0.288949 | − | 0.515937i | ||||
\(560\) | 4.63139 | + | 0.752120i | 0.195712 | + | 0.0317829i | ||||
\(561\) | 5.29517 | − | 10.3308i | 0.223562 | − | 0.436168i | ||||
\(562\) | 6.37716 | 0.269004 | ||||||||
\(563\) | 4.19756 | 0.176906 | 0.0884529 | − | 0.996080i | \(-0.471808\pi\) | ||||
0.0884529 | + | 0.996080i | \(0.471808\pi\) | |||||||
\(564\) | −12.9206 | − | 6.62257i | −0.544055 | − | 0.278861i | ||||
\(565\) | 0.486576 | + | 0.280925i | 0.0204704 | + | 0.0118186i | ||||
\(566\) | 0.380407 | + | 0.658885i | 0.0159897 | + | 0.0276950i | ||||
\(567\) | 23.7938 | − | 0.924278i | 0.999246 | − | 0.0388160i | ||||
\(568\) | 1.14296 | + | 1.97967i | 0.0479576 | + | 0.0830650i | ||||
\(569\) | 37.1060i | 1.55556i | 0.628534 | + | 0.777782i | \(0.283655\pi\) | ||||
−0.628534 | + | 0.777782i | \(0.716345\pi\) | |||||||
\(570\) | 2.07886 | − | 1.34293i | 0.0870740 | − | 0.0562491i | ||||
\(571\) | 2.55983 | − | 4.43376i | 0.107126 | − | 0.185547i | −0.807479 | − | 0.589896i | \(-0.799169\pi\) |
0.914605 | + | 0.404349i | \(0.132502\pi\) | |||||||
\(572\) | −2.81147 | − | 1.57455i | −0.117553 | − | 0.0658354i | ||||
\(573\) | −27.3231 | + | 1.36604i | −1.14144 | + | 0.0570670i | ||||
\(574\) | −17.1725 | + | 6.51495i | −0.716764 | + | 0.271929i | ||||
\(575\) | −8.75969 | − | 5.05741i | −0.365304 | − | 0.210909i | ||||
\(576\) | −1.23338 | + | 2.73473i | −0.0513909 | + | 0.113947i | ||||
\(577\) | −4.55577 | − | 2.63028i | −0.189659 | − | 0.109500i | 0.402164 | − | 0.915568i | \(-0.368258\pi\) |
−0.591823 | + | 0.806068i | \(0.701592\pi\) | |||||||
\(578\) | 39.2410i | 1.63221i | ||||||||
\(579\) | −2.46524 | − | 1.26358i | −0.102452 | − | 0.0525126i | ||||
\(580\) | 15.6210i | 0.648626i | ||||||||
\(581\) | −23.1450 | + | 28.3542i | −0.960215 | + | 1.17633i | ||||
\(582\) | −7.56061 | − | 3.87526i | −0.313397 | − | 0.160635i | ||||
\(583\) | −2.81131 | −0.116433 | ||||||||
\(584\) | −4.35881 | + | 7.54968i | −0.180369 | + | 0.312408i | ||||
\(585\) | 11.4031 | + | 15.4254i | 0.471461 | + | 0.637761i | ||||
\(586\) | 11.0026 | − | 6.35235i | 0.454513 | − | 0.262413i | ||||
\(587\) | −13.2127 | + | 22.8850i | −0.545346 | + | 0.944567i | 0.453239 | + | 0.891389i | \(0.350268\pi\) |
−0.998585 | + | 0.0531780i | \(0.983065\pi\) | |||||||
\(588\) | −8.48508 | − | 8.66045i | −0.349919 | − | 0.357151i | ||||
\(589\) | 3.81678 | + | 6.61085i | 0.157268 | + | 0.272395i | ||||
\(590\) | 5.14352 | − | 2.96961i | 0.211755 | − | 0.122257i | ||||
\(591\) | −7.66787 | + | 0.383360i | −0.315414 | + | 0.0157693i | ||||
\(592\) | 3.69465 | 0.151849 | ||||||||
\(593\) | −11.1153 | − | 19.2523i | −0.456451 | − | 0.790596i | 0.542320 | − | 0.840172i | \(-0.317546\pi\) |
−0.998770 | + | 0.0495766i | \(0.984213\pi\) | |||||||
\(594\) | 3.62999 | − | 2.89638i | 0.148940 | − | 0.118840i | ||||
\(595\) | 34.7327 | + | 5.64045i | 1.42390 | + | 0.231236i | ||||
\(596\) | −2.37853 | − | 1.37324i | −0.0974283 | − | 0.0562502i | ||||
\(597\) | −11.6260 | − | 17.9970i | −0.475819 | − | 0.736570i | ||||
\(598\) | −10.0522 | − | 16.8968i | −0.411065 | − | 0.690963i | ||||
\(599\) | 15.9688 | + | 9.21958i | 0.652467 | + | 0.376702i | 0.789401 | − | 0.613878i | \(-0.210391\pi\) |
−0.136934 | + | 0.990580i | \(0.543725\pi\) | |||||||
\(600\) | 3.20882 | − | 0.160427i | 0.131000 | − | 0.00654941i | ||||
\(601\) | 16.9272 | + | 9.77294i | 0.690476 | + | 0.398646i | 0.803790 | − | 0.594913i | \(-0.202813\pi\) |
−0.113314 | + | 0.993559i | \(0.536147\pi\) | |||||||
\(602\) | 1.64453 | − | 10.1267i | 0.0670262 | − | 0.412733i | ||||
\(603\) | 23.8427 | − | 2.39004i | 0.970950 | − | 0.0973299i | ||||
\(604\) | −7.11941 | + | 12.3312i | −0.289685 | + | 0.501748i | ||||
\(605\) | 18.0913 | 0.735515 | ||||||||
\(606\) | −13.1440 | + | 25.6439i | −0.533939 | + | 1.04171i | ||||
\(607\) | 6.81702 | + | 3.93581i | 0.276694 | + | 0.159750i | 0.631926 | − | 0.775029i | \(-0.282265\pi\) |
−0.355232 | + | 0.934778i | \(0.615598\pi\) | |||||||
\(608\) | 0.402858 | − | 0.697770i | 0.0163380 | − | 0.0282983i | ||||
\(609\) | 23.9316 | − | 32.5053i | 0.969758 | − | 1.31718i | ||||
\(610\) | −14.5616 | −0.589581 | ||||||||
\(611\) | −14.7683 | + | 26.3698i | −0.597462 | + | 1.06681i | ||||
\(612\) | −9.24963 | + | 20.5089i | −0.373894 | + | 0.829022i | ||||
\(613\) | −12.1960 | − | 21.1240i | −0.492591 | − | 0.853192i | 0.507373 | − | 0.861727i | \(-0.330617\pi\) |
−0.999964 | + | 0.00853454i | \(0.997283\pi\) | |||||||
\(614\) | −2.90418 | −0.117203 | ||||||||
\(615\) | 17.9113 | − | 11.5706i | 0.722254 | − | 0.466571i | ||||
\(616\) | −2.33398 | − | 0.379030i | −0.0940389 | − | 0.0152715i | ||||
\(617\) | 3.90089 | − | 2.25218i | 0.157044 | − | 0.0906694i | −0.419419 | − | 0.907793i | \(-0.637766\pi\) |
0.576462 | + | 0.817124i | \(0.304433\pi\) | |||||||
\(618\) | −13.2830 | − | 6.80831i | −0.534319 | − | 0.273870i | ||||
\(619\) | 4.81682 | + | 2.78099i | 0.193604 | + | 0.111777i | 0.593669 | − | 0.804710i | \(-0.297679\pi\) |
−0.400065 | + | 0.916487i | \(0.631012\pi\) | |||||||
\(620\) | − | 16.8020i | − | 0.674784i | ||||||
\(621\) | 28.0168 | − | 4.23037i | 1.12427 | − | 0.169759i | ||||
\(622\) | 15.7319 | + | 9.08284i | 0.630793 | + | 0.364189i | ||||
\(623\) | 25.9596 | − | 31.8024i | 1.04005 | − | 1.27413i | ||||
\(624\) | 5.59426 | + | 2.77565i | 0.223950 | + | 0.111115i | ||||
\(625\) | 6.14230 | + | 10.6388i | 0.245692 | + | 0.425551i | ||||
\(626\) | 1.60933 | + | 2.78744i | 0.0643218 | + | 0.111409i | ||||
\(627\) | −1.04764 | + | 0.676767i | −0.0418387 | + | 0.0270275i | ||||
\(628\) | −19.0276 | − | 10.9856i | −0.759286 | − | 0.438374i | ||||
\(629\) | 27.7077 | 1.10478 | ||||||||
\(630\) | 11.7380 | + | 7.76913i | 0.467652 | + | 0.309529i | ||||
\(631\) | −17.4066 | − | 30.1491i | −0.692944 | − | 1.20021i | −0.970869 | − | 0.239612i | \(-0.922980\pi\) |
0.277924 | − | 0.960603i | \(-0.410354\pi\) | |||||||
\(632\) | −11.0916 | + | 6.40376i | −0.441202 | + | 0.254728i | ||||
\(633\) | −1.72236 | − | 34.4502i | −0.0684576 | − | 1.36927i | ||||
\(634\) | 0.547197 | + | 0.947773i | 0.0217320 | + | 0.0376409i | ||||
\(635\) | −8.70306 | −0.345371 | ||||||||
\(636\) | 5.44159 | − | 0.272056i | 0.215773 | − | 0.0107877i | ||||
\(637\) | −18.6672 | + | 16.9864i | −0.739620 | + | 0.673025i | ||||
\(638\) | − | 7.87217i | − | 0.311662i | ||||||
\(639\) | 0.684008 | + | 6.82357i | 0.0270589 | + | 0.269936i | ||||
\(640\) | −1.53584 | + | 0.886718i | −0.0607094 | + | 0.0350506i | ||||
\(641\) | − | 15.1407i | − | 0.598023i | −0.954250 | − | 0.299011i | \(-0.903343\pi\) | ||
0.954250 | − | 0.299011i | \(-0.0966568\pi\) | |||||||
\(642\) | −23.7566 | + | 15.3466i | −0.937599 | + | 0.605682i | ||||
\(643\) | −17.4033 | + | 10.0478i | −0.686317 | + | 0.396246i | −0.802231 | − | 0.597014i | \(-0.796354\pi\) |
0.115914 | + | 0.993259i | \(0.463020\pi\) | |||||||
\(644\) | −11.1764 | − | 9.12307i | −0.440412 | − | 0.359499i | ||||
\(645\) | 0.594754 | + | 11.8961i | 0.0234184 | + | 0.468409i | ||||
\(646\) | 3.02119 | − | 5.23286i | 0.118867 | − | 0.205884i | ||||
\(647\) | 11.0262 | + | 19.0980i | 0.433486 | + | 0.750820i | 0.997171 | − | 0.0751699i | \(-0.0239499\pi\) |
−0.563684 | + | 0.825990i | \(0.690617\pi\) | |||||||
\(648\) | −6.74595 | + | 5.95753i | −0.265006 | + | 0.234034i | ||||
\(649\) | −2.59207 | + | 1.49653i | −0.101748 | + | 0.0587440i | ||||
\(650\) | −0.0874392 | − | 6.68747i | −0.00342965 | − | 0.262304i | ||||
\(651\) | −25.7409 | + | 34.9628i | −1.00887 | + | 1.37030i | ||||
\(652\) | 2.74658 | − | 4.75722i | 0.107564 | − | 0.186307i | ||||
\(653\) | − | 35.0539i | − | 1.37176i | −0.727713 | − | 0.685882i | \(-0.759417\pi\) | ||
0.727713 | − | 0.685882i | \(-0.240583\pi\) | |||||||
\(654\) | 2.22000 | − | 0.110990i | 0.0868089 | − | 0.00434007i | ||||
\(655\) | −4.68721 | + | 8.11849i | −0.183145 | + | 0.317216i | ||||
\(656\) | 3.47099 | − | 6.01193i | 0.135519 | − | 0.234726i | ||||
\(657\) | −21.2318 | + | 15.2703i | −0.828333 | + | 0.595751i | ||||
\(658\) | −3.55506 | + | 21.8913i | −0.138590 | + | 0.853411i | ||||
\(659\) | −6.09325 | + | 3.51794i | −0.237359 | + | 0.137039i | −0.613962 | − | 0.789335i | \(-0.710425\pi\) |
0.376603 | + | 0.926375i | \(0.377092\pi\) | |||||||
\(660\) | 2.74180 | − | 0.137078i | 0.106724 | − | 0.00533575i | ||||
\(661\) | 28.3125 | − | 16.3462i | 1.10123 | − | 0.635795i | 0.164686 | − | 0.986346i | \(-0.447339\pi\) |
0.936544 | + | 0.350551i | \(0.114006\pi\) | |||||||
\(662\) | 18.7294 | + | 10.8134i | 0.727940 | + | 0.420276i | ||||
\(663\) | 41.9536 | + | 20.8157i | 1.62934 | + | 0.808414i | ||||
\(664\) | − | 13.8340i | − | 0.536862i | ||||||
\(665\) | −2.92865 | − | 2.39060i | −0.113568 | − | 0.0927035i | ||||
\(666\) | 10.1039 | + | 4.55692i | 0.391518 | + | 0.176577i | ||||
\(667\) | 24.0156 | − | 41.5963i | 0.929889 | − | 1.61061i | ||||
\(668\) | −2.92252 | + | 5.06195i | −0.113076 | + | 0.195853i | ||||
\(669\) | 13.5282 | − | 0.676351i | 0.523030 | − | 0.0261493i | ||||
\(670\) | 12.2674 | + | 7.08257i | 0.473930 | + | 0.273623i | ||||
\(671\) | 7.33828 | 0.283291 | ||||||||
\(672\) | 4.55436 | + | 0.507788i | 0.175688 | + | 0.0195883i | ||||
\(673\) | −11.4876 | + | 19.8971i | −0.442814 | + | 0.766976i | −0.997897 | − | 0.0648191i | \(-0.979353\pi\) |
0.555083 | + | 0.831795i | \(0.312686\pi\) | |||||||
\(674\) | 16.9544i | 0.653058i | ||||||||
\(675\) | 8.97314 | + | 3.51898i | 0.345376 | + | 0.135446i | ||||
\(676\) | 6.20342 | − | 11.4244i | 0.238593 | − | 0.439401i | ||||
\(677\) | −0.619754 | − | 1.07345i | −0.0238191 | − | 0.0412559i | 0.853870 | − | 0.520486i | \(-0.174249\pi\) |
−0.877689 | + | 0.479230i | \(0.840916\pi\) | |||||||
\(678\) | 0.488329 | + | 0.250298i | 0.0187542 | + | 0.00961262i | ||||
\(679\) | −2.08028 | + | 12.8099i | −0.0798336 | + | 0.491599i | ||||
\(680\) | −11.5179 | + | 6.64985i | −0.441690 | + | 0.255010i | ||||
\(681\) | −33.0159 | + | 21.3280i | −1.26517 | + | 0.817291i | ||||
\(682\) | 8.46733i | 0.324231i | ||||||||
\(683\) | − | 2.26076i | − | 0.0865056i | −0.999064 | − | 0.0432528i | \(-0.986228\pi\) | ||
0.999064 | − | 0.0432528i | \(-0.0137721\pi\) | |||||||
\(684\) | 1.96233 | − | 1.41134i | 0.0750314 | − | 0.0539638i | ||||
\(685\) | −0.621066 | + | 0.358572i | −0.0237297 | + | 0.0137003i | ||||
\(686\) | −8.60105 | + | 16.4019i | −0.328389 | + | 0.626227i | ||||
\(687\) | −2.69030 | + | 5.24875i | −0.102641 | + | 0.200252i | ||||
\(688\) | 1.93884 | + | 3.35816i | 0.0739174 | + | 0.128029i | ||||
\(689\) | −0.148281 | − | 11.3408i | −0.00564907 | − | 0.432049i | ||||
\(690\) | 14.9058 | + | 7.64009i | 0.567452 | + | 0.290853i | ||||
\(691\) | 46.3884i | 1.76470i | 0.470595 | + | 0.882349i | \(0.344039\pi\) | ||||
−0.470595 | + | 0.882349i | \(0.655961\pi\) | |||||||
\(692\) | 7.29361 | − | 12.6329i | 0.277262 | − | 0.480231i | ||||
\(693\) | −5.91534 | − | 3.91524i | −0.224705 | − | 0.148728i | ||||
\(694\) | 22.1793 | 0.841915 | ||||||||
\(695\) | 6.93755 | + | 4.00540i | 0.263156 | + | 0.151933i | ||||
\(696\) | 0.761805 | + | 15.2374i | 0.0288761 | + | 0.577573i | ||||
\(697\) | 26.0303 | − | 45.0859i | 0.985970 | − | 1.70775i | ||||
\(698\) | 5.25936 | − | 9.10947i | 0.199070 | − | 0.344799i | ||||
\(699\) | 5.17241 | − | 10.0913i | 0.195638 | − | 0.381689i | ||||
\(700\) | −1.74082 | − | 4.58856i | −0.0657969 | − | 0.173431i | ||||
\(701\) | − | 41.1479i | − | 1.55413i | −0.629418 | − | 0.777067i | \(-0.716707\pi\) | ||
0.629418 | − | 0.777067i | \(-0.283293\pi\) | |||||||
\(702\) | 11.8754 | + | 14.4905i | 0.448208 | + | 0.546909i | ||||
\(703\) | −2.57802 | − | 1.48842i | −0.0972318 | − | 0.0561368i | ||||
\(704\) | 0.773984 | − | 0.446860i | 0.0291706 | − | 0.0168417i | ||||
\(705\) | −1.28570 | − | 25.7163i | −0.0484224 | − | 0.968532i | ||||
\(706\) | −21.7956 | + | 12.5837i | −0.820288 | + | 0.473593i | ||||
\(707\) | 43.4483 | + | 7.05582i | 1.63404 | + | 0.265362i | ||||
\(708\) | 4.87240 | − | 3.14753i | 0.183116 | − | 0.118292i | ||||
\(709\) | −1.61596 | + | 2.79892i | −0.0606885 | + | 0.105116i | −0.894773 | − | 0.446521i | \(-0.852663\pi\) |
0.834085 | + | 0.551636i | \(0.185996\pi\) | |||||||
\(710\) | −2.02697 | + | 3.51081i | −0.0760707 | + | 0.131758i | ||||
\(711\) | −38.2309 | + | 3.83234i | −1.43377 | + | 0.143724i | ||||
\(712\) | 15.5163i | 0.581499i | ||||||||
\(713\) | −25.8313 | + | 44.7411i | −0.967390 | + | 1.67557i | ||||
\(714\) | 34.1549 | + | 3.80810i | 1.27822 | + | 0.142515i | ||||
\(715\) | −0.0747129 | − | 5.71415i | −0.00279410 | − | 0.213697i | ||||
\(716\) | −8.38489 | + | 4.84102i | −0.313358 | + | 0.180917i | ||||
\(717\) | −2.58549 | − | 4.00235i | −0.0965569 | − | 0.149471i | ||||
\(718\) | −11.9747 | − | 20.7408i | −0.446893 | − | 0.774041i | ||||
\(719\) | 11.6854 | − | 20.2397i | 0.435791 | − | 0.754813i | −0.561569 | − | 0.827430i | \(-0.689802\pi\) |
0.997360 | + | 0.0726175i | \(0.0231352\pi\) | |||||||
\(720\) | −5.29377 | + | 0.530658i | −0.197287 | + | 0.0197765i | ||||
\(721\) | −3.65476 | + | 22.5052i | −0.136110 | + | 0.838139i | ||||
\(722\) | 15.8923 | − | 9.17541i | 0.591449 | − | 0.341473i | ||||
\(723\) | −5.76088 | − | 8.91788i | −0.214250 | − | 0.331659i | ||||
\(724\) | − | 16.1898i | − | 0.601688i | ||||||
\(725\) | 14.1498 | − | 8.16940i | 0.525511 | − | 0.303404i | ||||
\(726\) | 17.6471 | − | 0.882277i | 0.654944 | − | 0.0327444i | ||||
\(727\) | − | 34.2889i | − | 1.27171i | −0.771810 | − | 0.635853i | \(-0.780649\pi\) | ||
0.771810 | − | 0.635853i | \(-0.219351\pi\) | |||||||
\(728\) | 1.40589 | − | 9.43523i | 0.0521058 | − | 0.349693i | ||||
\(729\) | −25.7963 | + | 7.97194i | −0.955418 | + | 0.295257i | ||||
\(730\) | −15.4601 | −0.572205 | ||||||||
\(731\) | 14.5401 | + | 25.1842i | 0.537785 | + | 0.931472i | ||||
\(732\) | −14.2040 | + | 0.710140i | −0.524996 | + | 0.0262475i | ||||
\(733\) | 19.4049 | − | 11.2034i | 0.716736 | − | 0.413808i | −0.0968139 | − | 0.995303i | \(-0.530865\pi\) |
0.813550 | + | 0.581495i | \(0.197532\pi\) | |||||||
\(734\) | −7.14973 | − | 12.3837i | −0.263901 | − | 0.457090i | ||||
\(735\) | 5.77719 | − | 20.7111i | 0.213095 | − | 0.763940i | ||||
\(736\) | 5.45295 | 0.200998 | ||||||||
\(737\) | −6.18212 | − | 3.56925i | −0.227721 | − | 0.131475i | ||||
\(738\) | 16.9072 | − | 12.1600i | 0.622364 | − | 0.447615i | ||||
\(739\) | 2.39445 | + | 4.14731i | 0.0880814 | + | 0.152561i | 0.906700 | − | 0.421776i | \(-0.138593\pi\) |
−0.818619 | + | 0.574337i | \(0.805260\pi\) | |||||||
\(740\) | 3.27611 | + | 5.67440i | 0.120432 | + | 0.208595i | ||||
\(741\) | −2.78532 | − | 4.19045i | −0.102321 | − | 0.153940i | ||||
\(742\) | −2.95213 | − | 7.78138i | −0.108376 | − | 0.285663i | ||||
\(743\) | 37.6419 | + | 21.7325i | 1.38095 | + | 0.797289i | 0.992272 | − | 0.124086i | \(-0.0395998\pi\) |
0.388674 | + | 0.921375i | \(0.372933\pi\) | |||||||
\(744\) | −0.819400 | − | 16.3894i | −0.0300407 | − | 0.600865i | ||||
\(745\) | − | 4.87072i | − | 0.178449i | ||||||
\(746\) | −4.65411 | − | 2.68705i | −0.170399 | − | 0.0983799i | ||||
\(747\) | 17.0626 | − | 37.8322i | 0.624287 | − | 1.38421i | ||||
\(748\) | 5.80442 | − | 3.35118i | 0.212230 | − | 0.122531i | ||||
\(749\) | 33.4677 | + | 27.3191i | 1.22288 | + | 0.998216i | ||||
\(750\) | 11.4255 | + | 17.6867i | 0.417200 | + | 0.645827i | ||||
\(751\) | 27.6481 | 1.00889 | 0.504447 | − | 0.863442i | \(-0.331696\pi\) | ||||
0.504447 | + | 0.863442i | \(0.331696\pi\) | |||||||
\(752\) | −4.19126 | − | 7.25948i | −0.152840 | − | 0.264726i | ||||
\(753\) | 19.4318 | + | 9.95997i | 0.708136 | + | 0.362962i | ||||
\(754\) | 31.7561 | − | 0.415214i | 1.15649 | − | 0.0151212i | ||||
\(755\) | −25.2516 | −0.919000 | ||||||||
\(756\) | 11.8287 | + | 7.00593i | 0.430204 | + | 0.254803i | ||||
\(757\) | −12.4453 | + | 21.5558i | −0.452330 | + | 0.783459i | −0.998530 | − | 0.0541956i | \(-0.982741\pi\) |
0.546200 | + | 0.837655i | \(0.316074\pi\) | |||||||
\(758\) | 16.1861 | + | 9.34507i | 0.587907 | + | 0.339428i | ||||
\(759\) | −7.51173 | − | 3.85021i | −0.272659 | − | 0.139754i | ||||
\(760\) | 1.42888 | 0.0518311 | ||||||||
\(761\) | 17.5767 | − | 30.4438i | 0.637156 | − | 1.10359i | −0.348899 | − | 0.937160i | \(-0.613444\pi\) |
0.986054 | − | 0.166425i | \(-0.0532224\pi\) | |||||||
\(762\) | −8.48937 | + | 0.424432i | −0.307537 | + | 0.0153755i | ||||
\(763\) | −1.20438 | − | 3.17456i | −0.0436013 | − | 0.114927i | ||||
\(764\) | −13.6786 | − | 7.89736i | −0.494875 | − | 0.285716i | ||||
\(765\) | −39.7001 | + | 3.97962i | −1.43536 | + | 0.143883i | ||||
\(766\) | −28.4184 | − | 16.4074i | −1.02680 | − | 0.592823i | ||||
\(767\) | −6.17368 | − | 10.3774i | −0.222919 | − | 0.374706i | ||||
\(768\) | −1.45489 | + | 0.939845i | −0.0524987 | + | 0.0339137i | ||||
\(769\) | 21.8138 | + | 12.5942i | 0.786626 | + | 0.454159i | 0.838773 | − | 0.544481i | \(-0.183273\pi\) |
−0.0521474 | + | 0.998639i | \(0.516607\pi\) | |||||||
\(770\) | −1.48746 | − | 3.92072i | −0.0536042 | − | 0.141293i | ||||
\(771\) | −39.6692 | + | 25.6260i | −1.42865 | + | 0.922899i | ||||
\(772\) | −0.799689 | − | 1.38510i | −0.0287814 | − | 0.0498509i | ||||
\(773\) | 47.2270 | 1.69864 | 0.849318 | − | 0.527881i | \(-0.177013\pi\) | ||||
0.849318 | + | 0.527881i | \(0.177013\pi\) | |||||||
\(774\) | 1.16030 | + | 11.5750i | 0.0417061 | + | 0.416055i | ||||
\(775\) | −15.2196 | + | 8.78703i | −0.546704 | + | 0.315640i | ||||
\(776\) | −2.45256 | − | 4.24795i | −0.0880417 | − | 0.152493i | ||||
\(777\) | 1.87610 | − | 16.8268i | 0.0673047 | − | 0.603657i | ||||
\(778\) | −4.35765 | + | 7.54767i | −0.156229 | + | 0.270597i | ||||
\(779\) | −4.84391 | + | 2.79663i | −0.173551 | + | 0.100200i | ||||
\(780\) | 0.697584 | + | 11.0531i | 0.0249775 | + | 0.395765i | ||||
\(781\) | 1.02149 | − | 1.76927i | 0.0365517 | − | 0.0633094i | ||||
\(782\) | 40.8938 | 1.46236 | ||||||||
\(783\) | −16.7102 | + | 42.6099i | −0.597175 | + | 1.52275i | ||||
\(784\) | −1.40178 | − | 6.85821i | −0.0500637 | − | 0.244936i | ||||
\(785\) | − | 38.9645i | − | 1.39070i | ||||||
\(786\) | −4.17620 | + | 8.14774i | −0.148960 | + | 0.290620i | ||||
\(787\) | 27.1391i | 0.967403i | 0.875233 | + | 0.483701i | \(0.160708\pi\) | ||||
−0.875233 | + | 0.483701i | \(0.839292\pi\) | |||||||
\(788\) | −3.83872 | − | 2.21629i | −0.136749 | − | 0.0789520i | ||||
\(789\) | 0.444387 | − | 0.866995i | 0.0158206 | − | 0.0308658i | ||||
\(790\) | −19.6703 | − | 11.3566i | −0.699838 | − | 0.404051i | ||||
\(791\) | 0.134362 | − | 0.827373i | 0.00477736 | − | 0.0294180i | ||||
\(792\) | 2.66779 | − | 0.267424i | 0.0947958 | − | 0.00950251i | ||||
\(793\) | 0.387054 | + | 29.6024i | 0.0137447 | + | 1.05121i | ||||
\(794\) | 19.5098 | − | 33.7920i | 0.692378 | − | 1.19923i | ||||
\(795\) | 5.24299 | + | 8.11618i | 0.185950 | + | 0.287851i | ||||
\(796\) | − | 12.3701i | − | 0.438446i | ||||||
\(797\) | −16.0179 | − | 27.7438i | −0.567382 | − | 0.982735i | −0.996824 | − | 0.0796404i | \(-0.974623\pi\) |
0.429441 | − | 0.903095i | \(-0.358711\pi\) | |||||||
\(798\) | −2.97333 | − | 2.18908i | −0.105255 | − | 0.0774925i | ||||
\(799\) | −31.4319 | − | 54.4417i | −1.11198 | − | 1.92601i | ||||
\(800\) | 1.60641 | + | 0.927464i | 0.0567953 | + | 0.0327908i | ||||
\(801\) | −19.1376 | + | 42.4330i | −0.676192 | + | 1.49930i | ||||
\(802\) | 7.14319 | 0.252235 | ||||||||
\(803\) | 7.79111 | 0.274942 | ||||||||
\(804\) | 12.3116 | + | 6.31041i | 0.434195 | + | 0.222551i | ||||
\(805\) | 4.10127 | − | 25.2547i | 0.144551 | − | 0.890113i | ||||
\(806\) | −34.1570 | + | 0.446605i | −1.20313 | + | 0.0157310i | ||||
\(807\) | 5.72055 | − | 3.69543i | 0.201373 | − | 0.130085i | ||||
\(808\) | −14.4081 | + | 8.31852i | −0.506875 | + | 0.292644i | ||||
\(809\) | 29.2986 | − | 16.9155i | 1.03008 | − | 0.594719i | 0.113075 | − | 0.993586i | \(-0.463930\pi\) |
0.917009 | + | 0.398868i | \(0.130597\pi\) | |||||||
\(810\) | −15.1316 | − | 5.07804i | −0.531669 | − | 0.178424i | ||||
\(811\) | 23.0154i | 0.808181i | 0.914719 | + | 0.404090i | \(0.132412\pi\) | ||||
−0.914719 | + | 0.404090i | \(0.867588\pi\) | |||||||
\(812\) | 21.7892 | − | 8.26647i | 0.764652 | − | 0.290096i | ||||
\(813\) | 0.824428 | + | 1.27622i | 0.0289139 | + | 0.0447589i | ||||
\(814\) | −1.65099 | − | 2.85960i | −0.0578673 | − | 0.100229i | ||||
\(815\) | 9.74177 | 0.341239 | ||||||||
\(816\) | −10.9108 | + | 7.04827i | −0.381953 | + | 0.246739i | ||||
\(817\) | − | 3.12430i | − | 0.109305i | ||||||
\(818\) | 14.9068 | 0.521205 | ||||||||
\(819\) | 15.4820 | − | 24.0688i | 0.540984 | − | 0.841033i | ||||
\(820\) | 12.3112 | 0.429924 | ||||||||
\(821\) | 3.89844i | 0.136056i | 0.997683 | + | 0.0680282i | \(0.0216708\pi\) | ||||
−0.997683 | + | 0.0680282i | \(0.978329\pi\) | |||||||
\(822\) | −0.588329 | + | 0.380056i | −0.0205203 | + | 0.0132560i | ||||
\(823\) | −4.39494 | −0.153198 | −0.0765989 | − | 0.997062i | \(-0.524406\pi\) | ||||
−0.0765989 | + | 0.997062i | \(0.524406\pi\) | |||||||
\(824\) | −4.30881 | − | 7.46308i | −0.150104 | − | 0.259989i | ||||
\(825\) | −1.55806 | − | 2.41189i | −0.0542448 | − | 0.0839712i | ||||
\(826\) | −6.86412 | − | 5.60304i | −0.238833 | − | 0.194955i | ||||
\(827\) | − | 48.0745i | − | 1.67171i | −0.548948 | − | 0.835856i | \(-0.684972\pi\) | ||
0.548948 | − | 0.835856i | \(-0.315028\pi\) | |||||||
\(828\) | 14.9124 | + | 6.72557i | 0.518240 | + | 0.233730i | ||||
\(829\) | 5.36318 | − | 3.09643i | 0.186271 | − | 0.107543i | −0.403965 | − | 0.914775i | \(-0.632368\pi\) |
0.590236 | + | 0.807231i | \(0.299035\pi\) | |||||||
\(830\) | 21.2468 | − | 12.2668i | 0.737485 | − | 0.425787i | ||||
\(831\) | 18.3418 | − | 11.8486i | 0.636269 | − | 0.411025i | ||||
\(832\) | 1.84344 | + | 3.09866i | 0.0639100 | + | 0.107427i | ||||
\(833\) | −10.5125 | − | 51.4324i | −0.364237 | − | 1.78203i | ||||
\(834\) | 6.96255 | + | 3.56872i | 0.241093 | + | 0.123575i | ||||
\(835\) | −10.3658 | −0.358723 | ||||||||
\(836\) | −0.720084 | −0.0249046 | ||||||||
\(837\) | 17.9736 | − | 45.8313i | 0.621258 | − | 1.58416i | ||||
\(838\) | −18.3714 | − | 10.6067i | −0.634628 | − | 0.366403i | ||||
\(839\) | 27.1029 | + | 46.9435i | 0.935695 | + | 1.62067i | 0.773390 | + | 0.633930i | \(0.218559\pi\) |
0.162305 | + | 0.986741i | \(0.448107\pi\) | |||||||
\(840\) | 3.25855 | + | 7.44502i | 0.112431 | + | 0.256878i | ||||
\(841\) | 24.2932 | + | 42.0771i | 0.837697 | + | 1.45093i | ||||
\(842\) | 1.98956i | 0.0685647i | ||||||||
\(843\) | 5.99354 | + | 9.27803i | 0.206428 | + | 0.319552i | ||||
\(844\) | 9.95733 | − | 17.2466i | 0.342745 | − | 0.593653i | ||||
\(845\) | 23.0468 | − | 0.602780i | 0.792833 | − | 0.0207363i | ||||
\(846\) | −2.50827 | − | 25.0222i | −0.0862361 | − | 0.860280i | ||||
\(847\) | −9.57374 | − | 25.2350i | −0.328958 | − | 0.867084i | ||||
\(848\) | 2.72420 | + | 1.57281i | 0.0935492 | + | 0.0540107i | ||||
\(849\) | −0.601078 | + | 1.17270i | −0.0206289 | + | 0.0402469i | ||||
\(850\) | 12.0471 | + | 6.95542i | 0.413214 | + | 0.238569i | ||||
\(851\) | − | 20.1467i | − | 0.690622i | ||||||
\(852\) | −1.80598 | + | 3.52346i | −0.0618719 | + | 0.120712i | ||||
\(853\) | − | 15.5780i | − | 0.533381i | −0.963782 | − | 0.266690i | \(-0.914070\pi\) | ||
0.963782 | − | 0.266690i | \(-0.0859301\pi\) | |||||||
\(854\) | 7.70585 | + | 20.3115i | 0.263689 | + | 0.695045i | ||||
\(855\) | 3.90762 | + | 1.76236i | 0.133638 | + | 0.0602715i | ||||
\(856\) | −16.3289 | −0.558109 | ||||||||
\(857\) | −14.2172 | + | 24.6250i | −0.485652 | + | 0.841173i | −0.999864 | − | 0.0164897i | \(-0.994751\pi\) |
0.514213 | + | 0.857663i | \(0.328084\pi\) | |||||||
\(858\) | −0.351546 | − | 5.57020i | −0.0120016 | − | 0.190163i | ||||
\(859\) | −23.4649 | + | 13.5474i | −0.800610 | + | 0.462233i | −0.843685 | − | 0.536839i | \(-0.819618\pi\) |
0.0430741 | + | 0.999072i | \(0.486285\pi\) | |||||||
\(860\) | −3.43840 | + | 5.95548i | −0.117248 | + | 0.203080i | ||||
\(861\) | −25.6179 | − | 18.8609i | −0.873057 | − | 0.642778i | ||||
\(862\) | 7.26815 | + | 12.5888i | 0.247554 | + | 0.428776i | ||||
\(863\) | 11.4245 | − | 6.59595i | 0.388895 | − | 0.224529i | −0.292786 | − | 0.956178i | \(-0.594582\pi\) |
0.681681 | + | 0.731649i | \(0.261249\pi\) | |||||||
\(864\) | −5.13791 | + | 0.775795i | −0.174795 | + | 0.0263931i | ||||
\(865\) | 25.8695 | 0.879589 | ||||||||
\(866\) | −0.680025 | − | 1.17784i | −0.0231082 | − | 0.0400246i | ||||
\(867\) | −57.0912 | + | 36.8805i | −1.93892 | + | 1.25253i | ||||
\(868\) | −23.4366 | + | 8.89145i | −0.795489 | + | 0.301795i | ||||
\(869\) | 9.91281 | + | 5.72317i | 0.336269 | + | 0.194145i | ||||
\(870\) | −22.7267 | + | 14.6813i | −0.770508 | + | 0.497743i | ||||
\(871\) | 14.0722 | − | 25.1268i | 0.476818 | − | 0.851388i | ||||
\(872\) | 1.11139 | + | 0.641659i | 0.0376363 | + | 0.0217293i | ||||
\(873\) | −1.46774 | − | 14.6420i | −0.0496754 | − | 0.495555i | ||||
\(874\) | −3.80490 | − | 2.19676i | −0.128703 | − | 0.0743066i | ||||
\(875\) | 20.3389 | − | 24.9166i | 0.687581 | − | 0.842335i | ||||
\(876\) | −15.0805 | + | 0.753961i | −0.509524 | + | 0.0254740i | ||||
\(877\) | 1.79895 | − | 3.11587i | 0.0607462 | − | 0.105215i | −0.834053 | − | 0.551684i | \(-0.813985\pi\) |
0.894799 | + | 0.446469i | \(0.147319\pi\) | |||||||
\(878\) | 29.8566 | 1.00761 | ||||||||
\(879\) | 19.5827 | + | 10.0373i | 0.660507 | + | 0.338549i | ||||
\(880\) | 1.37261 | + | 0.792477i | 0.0462707 | + | 0.0267144i | ||||
\(881\) | −10.4378 | + | 18.0787i | −0.351657 | + | 0.609088i | −0.986540 | − | 0.163520i | \(-0.947715\pi\) |
0.634883 | + | 0.772609i | \(0.281048\pi\) | |||||||
\(882\) | 4.62529 | − | 20.4843i | 0.155742 | − | 0.689742i | ||||
\(883\) | 29.7344 | 1.00064 | 0.500321 | − | 0.865840i | \(-0.333215\pi\) | ||||
0.500321 | + | 0.865840i | \(0.333215\pi\) | |||||||
\(884\) | 13.8247 | + | 23.2381i | 0.464976 | + | 0.781582i | ||||
\(885\) | 9.15455 | + | 4.69225i | 0.307727 | + | 0.157728i | ||||
\(886\) | 18.1168 | + | 31.3793i | 0.608647 | + | 1.05421i | ||||
\(887\) | −2.77630 | −0.0932190 | −0.0466095 | − | 0.998913i | \(-0.514842\pi\) | ||||
−0.0466095 | + | 0.998913i | \(0.514842\pi\) | |||||||
\(888\) | 3.47240 | + | 5.37530i | 0.116526 | + | 0.180383i | ||||
\(889\) | 4.60558 | + | 12.1396i | 0.154466 | + | 0.407150i | ||||
\(890\) | −23.8306 | + | 13.7586i | −0.798803 | + | 0.461189i | ||||
\(891\) | 7.62553 | + | 2.55907i | 0.255465 | + | 0.0857321i | ||||
\(892\) | 6.77255 | + | 3.91013i | 0.226762 | + | 0.130921i | ||||
\(893\) | 6.75393i | 0.226012i | ||||||||
\(894\) | −0.237535 | − | 4.75112i | −0.00794437 | − | 0.158901i | ||||
\(895\) | −14.8701 | − | 8.58523i | −0.497051 | − | 0.286973i | ||||
\(896\) | 2.04961 | + | 1.67305i | 0.0684726 | + | 0.0558928i | ||||
\(897\) | 15.1354 | − | 30.5052i | 0.505358 | − | 1.01854i | ||||
\(898\) | −16.3866 | − | 28.3824i | −0.546828 | − | 0.947133i | ||||
\(899\) | −41.7261 | − | 72.2718i | −1.39164 | − | 2.41040i | ||||
\(900\) | 3.24920 | + | 4.51769i | 0.108307 | + | 0.150590i | ||||
\(901\) | 20.4298 | + | 11.7952i | 0.680616 | + | 0.392954i | ||||
\(902\) | −6.20419 | −0.206577 | ||||||||
\(903\) | 16.2788 | − | 7.12492i | 0.541724 | − | 0.237102i | ||||
\(904\) | 0.158407 | + | 0.274369i | 0.00526855 | + | 0.00912539i | ||||
\(905\) | 24.8649 | − | 14.3557i | 0.826537 | − | 0.477201i | ||||
\(906\) | −24.6316 | + | 1.23147i | −0.818330 | + | 0.0409129i | ||||
\(907\) | 14.1441 | + | 24.4983i | 0.469647 | + | 0.813453i | 0.999398 | − | 0.0347008i | \(-0.0110478\pi\) |
−0.529751 | + | 0.848153i | \(0.677714\pi\) | |||||||
\(908\) | −22.6931 | −0.753098 | ||||||||
\(909\) | −49.6622 | + | 4.97824i | −1.64719 | + | 0.165118i | ||||
\(910\) | 15.7376 | − | 6.20716i | 0.521697 | − | 0.205765i | ||||
\(911\) | 12.5281i | 0.415076i | 0.978227 | + | 0.207538i | \(0.0665451\pi\) | ||||
−0.978227 | + | 0.207538i | \(0.933455\pi\) | |||||||
\(912\) | 1.39380 | − | 0.0696839i | 0.0461533 | − | 0.00230746i | ||||
\(913\) | −10.7073 | + | 6.18184i | −0.354359 | + | 0.204589i | ||||
\(914\) | − | 10.8965i | − | 0.360425i | ||||||
\(915\) | −13.6856 | − | 21.1854i | −0.452433 | − | 0.700368i | ||||
\(916\) | −2.94903 | + | 1.70262i | −0.0974387 | + | 0.0562563i | ||||
\(917\) | 13.8047 | + | 2.24182i | 0.455870 | + | 0.0740315i | ||||
\(918\) | −38.5313 | + | 5.81800i | −1.27172 | + | 0.192023i | ||||
\(919\) | −22.4099 | + | 38.8151i | −0.739235 | + | 1.28039i | 0.213606 | + | 0.976920i | \(0.431479\pi\) |
−0.952840 | + | 0.303472i | \(0.901854\pi\) | |||||||
\(920\) | 4.83522 | + | 8.37485i | 0.159413 | + | 0.276111i | ||||
\(921\) | −2.72948 | − | 4.22524i | −0.0899393 | − | 0.139227i | ||||
\(922\) | −28.5059 | + | 16.4579i | −0.938791 | + | 0.542011i | ||||
\(923\) | 7.19106 | + | 4.02733i | 0.236697 | + | 0.132561i | ||||
\(924\) | −1.64214 | − | 3.75191i | −0.0540224 | − | 0.123429i | ||||
\(925\) | 3.42666 | − | 5.93515i | 0.112668 | − | 0.195146i | ||||
\(926\) | − | 9.98781i | − | 0.328220i | ||||||
\(927\) | −2.57862 | − | 25.7239i | −0.0846929 | − | 0.844885i | ||||
\(928\) | −4.40416 | + | 7.62822i | −0.144574 | + | 0.250409i | ||||
\(929\) | −21.9801 | + | 38.0706i | −0.721143 | + | 1.24906i | 0.239399 | + | 0.970921i | \(0.423050\pi\) |
−0.960542 | + | 0.278135i | \(0.910284\pi\) | |||||||
\(930\) | 24.4449 | − | 15.7913i | 0.801581 | − | 0.517816i | ||||
\(931\) | −1.78476 | + | 5.35017i | −0.0584931 | + | 0.175345i | ||||
\(932\) | 5.66985 | − | 3.27349i | 0.185722 | − | 0.107227i | ||||
\(933\) | 1.57109 | + | 31.4246i | 0.0514353 | + | 1.02880i | ||||
\(934\) | −18.0868 | + | 10.4424i | −0.591817 | + | 0.341686i | ||||
\(935\) | 10.2938 | + | 5.94310i | 0.336642 | + | 0.194360i | ||||
\(936\) | 1.21949 | + | 10.7477i | 0.0398604 | + | 0.351299i | ||||
\(937\) | 32.4932i | 1.06151i | 0.847527 | + | 0.530753i | \(0.178091\pi\) | ||||
−0.847527 | + | 0.530753i | \(0.821909\pi\) | |||||||
\(938\) | 3.38748 | − | 20.8594i | 0.110605 | − | 0.681084i | ||||
\(939\) | −2.54289 | + | 4.96116i | −0.0829840 | + | 0.161901i | ||||
\(940\) | 7.43293 | − | 12.8742i | 0.242435 | − | 0.419910i | ||||
\(941\) | −26.4431 | + | 45.8008i | −0.862021 | + | 1.49306i | 0.00795494 | + | 0.999968i | \(0.497468\pi\) |
−0.869975 | + | 0.493095i | \(0.835865\pi\) | |||||||
\(942\) | −1.90023 | − | 38.0078i | −0.0619127 | − | 1.23836i | ||||
\(943\) | −32.7827 | − | 18.9271i | −1.06755 | − | 0.616352i | ||||
\(944\) | 3.34899 | 0.109000 | ||||||||
\(945\) | −0.271310 | + | 24.3792i | −0.00882571 | + | 0.793055i | ||||
\(946\) | 1.73278 | − | 3.00126i | 0.0563374 | − | 0.0975793i | ||||
\(947\) | 6.42050i | 0.208638i | 0.994544 | + | 0.104319i | \(0.0332663\pi\) | ||||
−0.994544 | + | 0.104319i | \(0.966734\pi\) | |||||||
\(948\) | −19.7412 | − | 10.1185i | −0.641163 | − | 0.328634i | ||||
\(949\) | 0.410939 | + | 31.4292i | 0.0133396 | + | 1.02023i | ||||
\(950\) | −0.747272 | − | 1.29431i | −0.0242447 | − | 0.0419931i | ||||
\(951\) | −0.864620 | + | 1.68687i | −0.0280372 | + | 0.0547004i | ||||
\(952\) | 15.3708 | + | 12.5469i | 0.498171 | + | 0.406647i | ||||
\(953\) | −30.0111 | + | 17.3269i | −0.972155 | + | 0.561274i | −0.899893 | − | 0.436112i | \(-0.856355\pi\) |
−0.0722625 | + | 0.997386i | \(0.523022\pi\) | |||||||
\(954\) | 5.51006 | + | 7.66120i | 0.178395 | + | 0.248041i | ||||
\(955\) | − | 28.0109i | − | 0.906412i | ||||||
\(956\) | − | 2.75097i | − | 0.0889729i | ||||||
\(957\) | 11.4531 | − | 7.39862i | 0.370226 | − | 0.239163i | ||||
\(958\) | −10.2715 | + | 5.93024i | −0.331857 | + | 0.191597i | ||||
\(959\) | 0.828824 | + | 0.676552i | 0.0267641 | + | 0.0218470i | ||||
\(960\) | −2.73352 | − | 1.40109i | −0.0882241 | − | 0.0452201i | ||||
\(961\) | 29.3808 | + | 50.8890i | 0.947766 | + | 1.64158i | ||||
\(962\) | 11.4485 | − | 6.81089i | 0.369114 | − | 0.219592i | ||||
\(963\) | −44.6551 | − | 20.1397i | −1.43899 | − | 0.648994i | ||||
\(964\) | − | 6.12961i | − | 0.197421i | ||||||
\(965\) | 1.41820 | − | 2.45639i | 0.0456534 | − | 0.0790739i | ||||
\(966\) | 2.76894 | − | 24.8347i | 0.0890892 | − | 0.799042i | ||||
\(967\) | 51.5097 | 1.65644 | 0.828220 | − | 0.560404i | \(-0.189354\pi\) | ||||
0.828220 | + | 0.560404i | \(0.189354\pi\) | |||||||
\(968\) | 8.83455 | + | 5.10063i | 0.283953 | + | 0.163941i | ||||
\(969\) | 10.4527 | − | 0.522588i | 0.335788 | − | 0.0167879i | ||||
\(970\) | 4.34945 | − | 7.53347i | 0.139652 | − | 0.241885i | ||||
\(971\) | 15.4438 | − | 26.7494i | 0.495614 | − | 0.858428i | −0.504373 | − | 0.863486i | \(-0.668276\pi\) |
0.999987 | + | 0.00505724i | \(0.00160978\pi\) | |||||||
\(972\) | −15.0077 | − | 4.21542i | −0.481371 | − | 0.135210i | ||||
\(973\) | 1.91572 | − | 11.7966i | 0.0614152 | − | 0.378182i | ||||
\(974\) | − | 18.9879i | − | 0.608410i | ||||||
\(975\) | 9.64732 | − | 6.41240i | 0.308961 | − | 0.205361i | ||||
\(976\) | −7.11088 | − | 4.10547i | −0.227614 | − | 0.131413i | ||||
\(977\) | 48.2996 | − | 27.8858i | 1.54524 | − | 0.892146i | 0.546748 | − | 0.837297i | \(-0.315866\pi\) |
0.998495 | − | 0.0548486i | \(-0.0174676\pi\) | |||||||
\(978\) | 9.50257 | − | 0.475088i | 0.303859 | − | 0.0151916i | ||||
\(979\) | 12.0094 | − | 6.93362i | 0.383822 | − | 0.221599i | ||||
\(980\) | 9.29012 | − | 8.23421i | 0.296762 | − | 0.263032i | ||||
\(981\) | 2.24793 | + | 3.12553i | 0.0717710 | + | 0.0997906i | ||||
\(982\) | 13.0095 | − | 22.5331i | 0.415150 | − | 0.719061i | ||||
\(983\) | −4.09336 | + | 7.08990i | −0.130558 | + | 0.226133i | −0.923892 | − | 0.382654i | \(-0.875010\pi\) |
0.793334 | + | 0.608787i | \(0.208343\pi\) | |||||||
\(984\) | 12.0089 | − | 0.600391i | 0.382829 | − | 0.0191398i | ||||
\(985\) | − | 7.86088i | − | 0.250469i | ||||||
\(986\) | −33.0285 | + | 57.2071i | −1.05184 | + | 1.82185i | ||||
\(987\) | −35.1905 | + | 15.4022i | −1.12013 | + | 0.490258i | ||||
\(988\) | −0.0379805 | − | 2.90480i | −0.00120832 | − | 0.0924140i | ||||
\(989\) | 18.3119 | − | 10.5724i | 0.582284 | − | 0.336182i | ||||
\(990\) | 2.77630 | + | 3.86017i | 0.0882365 | + | 0.122684i | ||||
\(991\) | −25.1642 | − | 43.5856i | −0.799366 | − | 1.38454i | −0.920030 | − | 0.391848i | \(-0.871836\pi\) |
0.120664 | − | 0.992693i | \(-0.461498\pi\) | |||||||
\(992\) | 4.73713 | − | 8.20495i | 0.150404 | − | 0.260507i | ||||
\(993\) | 1.87044 | + | 37.4121i | 0.0593568 | + | 1.18724i | ||||
\(994\) | 5.96978 | + | 0.969467i | 0.189350 | + | 0.0307496i | ||||
\(995\) | 18.9985 | − | 10.9688i | 0.602291 | − | 0.347733i | ||||
\(996\) | 20.1268 | − | 13.0018i | 0.637743 | − | 0.411977i | ||||
\(997\) | − | 32.8316i | − | 1.03979i | −0.854231 | − | 0.519894i | \(-0.825971\pi\) | ||
0.854231 | − | 0.519894i | \(-0.174029\pi\) | |||||||
\(998\) | 9.39532 | − | 5.42439i | 0.297404 | − | 0.171706i | ||||
\(999\) | 2.86630 | + | 18.9828i | 0.0906856 | + | 0.600589i |
(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 | 546.2.bb.a.269.23 | yes | 76 | |
3.2 | odd | 2 | inner | 546.2.bb.a.269.3 | yes | 76 | |
7.5 | odd | 6 | 546.2.u.a.425.29 | yes | 76 | ||
13.3 | even | 3 | 546.2.u.a.185.10 | ✓ | 76 | ||
21.5 | even | 6 | 546.2.u.a.425.10 | yes | 76 | ||
39.29 | odd | 6 | 546.2.u.a.185.29 | yes | 76 | ||
91.68 | odd | 6 | inner | 546.2.bb.a.341.22 | yes | 76 | |
273.68 | even | 6 | inner | 546.2.bb.a.341.4 | yes | 76 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
546.2.u.a.185.10 | ✓ | 76 | 13.3 | even | 3 | ||
546.2.u.a.185.29 | yes | 76 | 39.29 | odd | 6 | ||
546.2.u.a.425.10 | yes | 76 | 21.5 | even | 6 | ||
546.2.u.a.425.29 | yes | 76 | 7.5 | odd | 6 | ||
546.2.bb.a.269.3 | yes | 76 | 3.2 | odd | 2 | inner | |
546.2.bb.a.269.23 | yes | 76 | 1.1 | even | 1 | trivial | |
546.2.bb.a.341.4 | yes | 76 | 273.68 | even | 6 | inner | |
546.2.bb.a.341.22 | yes | 76 | 91.68 | odd | 6 | inner |